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long and glosses over a lot of details and so is best used as a reminder, not a first introduction." - ] - }, - { - "cell_type": "markdown", - "id": "2b01a012", - "metadata": {}, - "source": [ - "## The impulse response\n", - "\n", - "Let $\\delta(t)$ be the [unit impulse](https://en.wikipedia.org/wiki/Dirac_delta_function) or Dirac delta, which is commonly thought of as\n", - "\n", - "\\begin{align}\n", - "\\delta(t - t_0) = \\begin{cases}\n", - "\\infty, &t = t_0\\\\\n", - "0, &t \\neq t_0\\end{cases}\n", - "\\end{align}\n", - "\n", - "but has a more complicated \"proper\" definition as a [generalised function](https://en.wikipedia.org/wiki/Generalized_function) with properties:\n", - "\n", - "1. $$\\int_a^b \\delta(t)dt = 1 \\quad\\text{if } 0 \\in [a, b] $$\n", - "2. $$\\int_a^b \\delta(t)dt = 0 \\quad\\text{if } 0 \\notin [a, b]$$\n", - "3. $$\\int_{-\\infty}^{\\infty} \\delta(t - t_0)g(t)\\,dt = g(t_0)$$\n", - "\n", - "The response to a system driven with $\\delta$ is called the [impulse response](https://en.wikipedia.org/wiki/Impulse_response), and will be denoted here as $h(t)$." - ] - }, - { - "cell_type": "markdown", - "id": "99ecb1cd", - "metadata": {}, - "source": [ - "Impulse responses for common functions can be looked up in tables, but they can also be worked out by hand.\n", - "For example, given a system defined by \n", - "\n", - "\\begin{align}\n", - "\\dot{y}(t) + ay(t) = u(t)\n", - "\\end{align}\n", - "\n", - "where $y$ is the state, $u$ is the input and $a$ is a non-zero constant, we can fill in $u(t)=\\delta(t)$ and $y(t)=h(t)$ (by h's definition) so that \n", - "\n", - "\\begin{align}\n", - "\\dot{h}(t) + ah(t) = \\delta(t)\n", - "\\end{align}\n", - "\n", - "Next, we'll assume that the system has no response for $t < 0$ (the impulse hasn't happened yet).\n", - "At $t > 0$, we have $\\delta(t) = 0$ and so we can separate $\\frac{dh}{dt} = -ah$ as usual to find $h(t) = h_0 e^{-at}$.\n", - "The situation at $t = 0$ is tricky to analyse, but the accepted solution seems to be that (1) $h(t = 0)$ is undefined, (2) its limit approached from the left is 0, and (3) its limit approached from the right is 1.\n", - "Integrating from $0$ to $t$ we then get $h_0 = 1$, so that the full impulse response becomes\n", - "\\begin{align}\n", - "h(t) = \\begin{cases}e^{-at}, &t>0,\\\\0, &t<0\\\\\\text{undefined}, &t=0\\end{cases}\n", - "\\end{align}\n", - "\n", - "More commonly we'll ignore negative time and just write e.g. $h(t)=e^{-at}$." - ] - }, - { - "cell_type": "markdown", - "id": "4adc3514", - "metadata": {}, - "source": [ - "The integral of the unit impulse is the [unit step](https://en.wikipedia.org/wiki/Heaviside_step_function) function:\n", - "\\begin{equation}\n", - "\\theta(t - t_0) = \\begin{cases}1, &t > t_0\\\\0, &t < t_0\\\\\\text{undefined}, &t = t_0\\end{cases}\n", - "\\end{equation}\n", - "(some people use a different definition for the $t=t_0$ case).\n", - "\n", - "Using the unit step, we can write the above equation for $h(t)$ as $h(t) = e^{-at}\\theta(t)$." - ] - }, - { - "cell_type": "markdown", - "id": "724142d8", - "metadata": {}, - "source": [ - "### The superposition principle and linear systems\n", - "\n", - "Next, we introduce the [superposition principle](https://en.wikipedia.org/wiki/Superposition_principle).\n", - "This holds if, when input $u_1(t)$ has response $y_1(t)$ and input $u_2(t)$ has response $y_2(t)$, any **linear combination** of the input signals $u(t) = \\alpha_1 u_1(t) + \\alpha_2 u_2(t)$ results in the same linear combination of responses $y(t) = \\alpha_1 y_1(t) + \\alpha_2 y_2(t)$.\n", - "\n", - "The class of systems satisfying this priniciple are called [linear systems](https://en.wikipedia.org/wiki/Linear_time-invariant_system).\n", - "\n" - ] - }, - { - "cell_type": "markdown", - "id": "4d580eaf", - "metadata": {}, - "source": [ - "### Decomposing arbitrary inputs into impulse responses\n", - "\n", - "For systems where the superposition principle holds, we can analyse the response to any input signal $u(t)$ by decomposing into sub-inputs with known responses.\n", - "If we're willing to do some maths, this can even be an infinite number of sub-inputs, for example sine waves or unit impulses.\n", - "\n", - "Let $\\delta(t - \\tau)$ be a unit impulse input, and $h(t - \\tau)$ the impulse response, we can then write $u(t)$ as a linear combination with an infinite number of terms $u(\\tau)\\delta(t - \\tau)\\,d\\tau$ (where $\\tau$ is a constant):\n", - "\\begin{align}\n", - "u(t) = \\int_{-\\infty}^\\infty u(\\tau)\\delta(t - \\tau)\\,d\\tau\n", - "\\end{align}\n", - "\n", - "writing the same linear combination for the known impulse responses $h(t - \\tau)$ we find:\n", - "\n", - "\\begin{align}\n", - "y(t) = \\int_{-\\infty}^\\infty u(\\tau)h(t - \\tau)\\,d\\tau\n", - "\\end{align}" - ] - }, - { - "cell_type": "markdown", - "id": "3fc400c8", - "metadata": {}, - "source": [ - "These horrible forms are known as \"convolution integrals\", sometimes denoted with a $*$:\n", - "\\begin{align}\n", - "(f * g)(t) = \\int_{-\\infty}^\\infty f(\\tau)g(t - \\tau)\\,d\\tau\n", - "\\end{align}\n", - "where the left hand side notation is meant to convey that this is an operation on _functions_: we are convolving the functions themselves, not their evaluations on some specific value of $t$.\n", - "Convolution is not restricted to time-varying functions: $t$ represents any free variable.\n", - "For people who love properties of things we can add that $(f * g)(t) = (g * t)(t)$." - ] - }, - { - "cell_type": "markdown", - "id": "4f089054", - "metadata": {}, - "source": [ - "In summary:\n", - "\n", - "1. The impulse function is a slightly dubious \"generalised function\" for which $\\int_a^b\\delta(t)dt=1$ if and only if $0\\in[a, b]$.\n", - "2. A system's response to being driven with a unit impulse is called its impulse response, and can be derived or looked up in tables.\n", - "3. If the system obeys the superposition principle, we can write its response to an arbitrary input signal as a convolution integral of the input and the impulse response." - ] - }, - { - "cell_type": "markdown", - "id": "5529fcd3", - "metadata": {}, - "source": [ - "## The Laplace transform\n", - "\n", - "The Laplace transform is a one-to-one mapping between function spaces: it can be applied to a function \"in the time domain\" to yield another \"in the Laplace domain\".\n", - "A typical use case is to apply the Laplace transformation, manipulate the function in ways that would have been harder in the time domain, and then transform back.\n", - "\n", - "For a function $f(t)$ on $t \\geq 0$, its Laplace transformation $F(s)$ is defined as\n", - "\n", - "\\begin{equation}\n", - "F(s) = \\int_0^\\infty f(t) e^{-st} dt\n", - "\\end{equation}\n", - "\n", - "where $s$ is the new free variable, and is a complex number (so we're mapping 1-d functions onto 2-d functions!).\n", - "\n", - "We denote this transfer as $\\mathcal{L}\\{f(t)\\} = F(s)$." - ] - }, - { - "cell_type": "markdown", - "id": "ad3c668d", - "metadata": {}, - "source": [ - "### The inverse transform?\n", - "\n", - "Being a nice one-to-one mapping, the Laplace transformation should have an inverse.\n", - "You can find it on [wikipedia](https://en.wikipedia.org/wiki/Inverse_Laplace_transform), but it's more common to rely on tables when converting back to the time domain, or to end the analysis without ever converting back." - ] - }, - { - "cell_type": "markdown", - "id": "462946d2", - "metadata": {}, - "source": [ - "### Some things are easier in the Laplace domain\n", - "\n", - "The Laplace transform has some very nice properties.\n", - "For starters, **linear combinations** stay the same:\n", - "\n", - "\\begin{align}\n", - "& \\int_0^\\infty \\left[a f(t) + b g(t)\\right] e^{-st} dt \n", - " = a \\int_0^\\infty f(t) e^{-st} dt + b \\int_0^\\infty g(t) e^{-st} dt \n", - " = aF(s) + bG(s)\n", - "\\end{align}" - ] - }, - { - "cell_type": "markdown", - "id": "36fe69b2", - "metadata": {}, - "source": [ - "#### Time-derivatives\n", - "\n", - "More surprisingly, time-derivatives become multiplications by powers of $s$.\n", - "\n", - "Starting from\n", - "\\begin{align}\n", - "\\int_0^\\infty \\dot{f}(t) e^{-st} dt\n", - "\\end{align}\n", - "\n", - "we use integration by parts $\\int U dV = UV - \\int V dU$ with $U=e^{-st}$ and $dV=\\dot{f}(t)dt$ to find\n", - "\n", - "\\begin{align}\n", - "\\int_0^\\infty \\dot{f}(t) e^{-st} dt\n", - "&= \\left[f(t)e^{-st}\\right]_0^\\infty + \\int_0^\\infty f(t)se^{-st} dt \\\\\n", - "&= 0 - f(0)e^0 + s \\int_0^\\infty f(t)e^{-st} dt \\\\\n", - "&= s F(s) - f(0)\n", - "\\end{align}\n", - "\n", - "or\n", - "\n", - "\\begin{align}\n", - "\\mathcal{L}\\{\\dot{f}(t)\\} = s F(s) - f(0)\n", - "\\end{align}\n", - "\n", - "Similarly, for second order time-derivatives we get $\\mathcal{L}\\{\\ddot{f(t)}\\} = s^2F(s) - sf(0) - \\dot{f}(0)$." - ] - }, - { - "cell_type": "markdown", - "id": "3d698bc5", - "metadata": {}, - "source": [ - "#### Convolution and impulse response\n", - "\n", - "Most importantly, ugly convolution becomes multiplication.\n", - "\n", - "To prove this, you start by writing out\n", - "\\begin{align}\n", - "\\mathcal{L}\\{f*g\\} = \\int_0^\\infty \\left(\\int_0^t f(\\tau) g(t-\\tau) \\,d\\tau \\right)e^{-st}dt\n", - "\\end{align}\n", - "and then, if you're _really_ good at integrals, you do several tricks and end up with\n", - "\\begin{align}\n", - "=F(s)G(s)\n", - "\\end{align}\n", - "\n", - "As a result, for a system with input $u$ and impulse response $h(t)$, we can replace\n", - "\\begin{align}\n", - "y(t) = \\int_{-\\infty}^\\infty u(\\tau)h(t - \\tau)\\,d\\tau\n", - "\\end{align}\n", - "with\n", - "\\begin{align}\n", - "Y(s) = H(s) U(s)\n", - "\\end{align}\n", - "\n", - "where $H(s) = Y(s)/U(s)$ is called the system's **transfer function**." - ] - }, - { - "cell_type": "markdown", - "id": "0377e8d8", - "metadata": {}, - "source": [ - "#### More properties\n", - "\n", - "There's a [list on wikipedia](https://en.wikipedia.org/wiki/Laplace_transform#Properties_and_theorems)." - ] - }, - { - "cell_type": "markdown", - "id": "5bae9ee8", - "metadata": {}, - "source": [ - "### Some transformed functions\n", - "\n", - "There are lots of tables of Laplace transforms out there, including the [Laplace transform wikipedia page](https://en.wikipedia.org/wiki/Laplace_transform).\n", - "A few famous ones are given below.\n", - "\n", - "Exponentials:\n", - "$$\\mathcal{L}\\{e^{-at}\\} = \\frac{1}{s + a}$$\n", - "\n", - "Sine & cosine:\n", - "$$\\mathcal{L}\\{\\sin(\\omega t)\\}\n", - " = \\mathcal{L}\\left\\{\\frac{e^{i \\omega t} - e^{i \\omega t}}{2i}\\right\\}\n", - " = \\frac{\\omega}{s^2 + \\omega^2}$$\n", - "\n", - "$$\\mathcal{L}\\{\\cos(\\omega t)\\}\n", - " = \\mathcal{L}\\left\\{\\frac{e^{i \\omega t} + e^{i \\omega t}}{2}\\right\\}\n", - " = \\frac{s}{s^2 + \\omega^2}$$\n", - "\n", - "The impulse function:\n", - "$$\\mathcal{L}\\{\\delta(t)\\} = 1$$\n", - "\n", - "The unit step function:\n", - "$$\\mathcal{L}\\{\\alpha \\theta(t)\\} = \\frac{\\alpha}{s}$$" - ] - }, - { - "cell_type": "markdown", - "id": "347d2b70", - "metadata": {}, - "source": [ - "## Analysing systems with zeros and poles\n", - "\n", - "Many systems can be analysed in terms of their _zeros_ (values of $s$ for which $H(s)$ is zero) and _poles_ (a [particular type of singularity](https://en.wikipedia.org/wiki/Zeros_and_poles)).\n", - "\n", - "In particular, any n-th order linear differential equation (with all initial conditions set to 0) has a transfer function that can be written as the fraction of two polynomials:\n", - "\n", - "\\begin{align}\n", - "F(s) = \\frac{a_ms^m + a_{m-1}s^{m-1} + ...}{b_ns^n + b_{n-1}s^{n-1} + ...} = k\\frac{\\prod_{i=1}^m(s - z_i)}{\\prod_{i=1}^n(s - p_i)}\n", - "\\end{align}\n", - "\n", - "where $p_i$ are its **poles** and $z_i$ are its **zeroes**.\n", - "\n", - "Analysis of systems written this form is often simplified using [partial fraction decomposition](https://en.wikipedia.org/wiki/Partial_fraction_decomposition) to write $F$ as a sum instead of a product." - ] - }, - { - "cell_type": "markdown", - "id": "37fd5134", - "metadata": {}, - "source": [ - "### Real, imaginary, and complex poles\n", - "\n", - "We can tell a lot by looking at the poles.\n", - "Like $s$, poles can be complex numbers, and the system's behaviour differs depending on whether they are fully real, fully imaginary, or complex.\n", - "\n", - "#### Real poles result in exponential terms\n", - "\n", - "The form \n", - "\\begin{equation}\n", - "F(s) = \\frac{C_1}{s - p_1} + \\frac{C_2}{s - p_2} + ... + \\frac{C_n}{s - p_n}\n", - "\\end{equation}\n", - "where $p_i$ are all real numbers has inverse transform \n", - "$$f(t) = \\left( C_1e^{p_1t} + C_2e^{p_2t} + ... + C_ne^{p_nt} \\right) \\theta(t)$$\n", - "\n", - "Terms like $\\frac{C_i}{(s - p_i)^2}$ become $C_ite^{p_it}$, while $\\frac{C_i}{(s - p_i)^3}$ becomes $C_it^2e^{p_it}$ etc." - ] - }, - { - "cell_type": "markdown", - "id": "94652d8b", - "metadata": {}, - "source": [ - "#### Imaginary poles give oscillations\n", - "\n", - "The form\n", - "\\begin{equation}\n", - "F(s) = \\frac{C_1 + C_2s}{(s - i\\omega)(s + i\\omega)} = \\frac{C_1 + C_2s}{s^2 +\\omega^2}\n", - "\\end{equation}\n", - "has inverse\n", - "\\begin{equation}\n", - "f(t) = \\left( \\frac{1}{\\omega} C_1\\sin(\\omega t) + C_2\\cos(\\omega t)\\right) \\theta(t)\n", - "\\end{equation}" - ] - }, - { - "cell_type": "markdown", - "id": "b3fe2e42", - "metadata": {}, - "source": [ - "#### Complex poles give growing or damped oscillations\n", - "\n", - "The form\n", - "\\begin{equation}\n", - "F(s) = \\frac{C_1 + C_2s}{(s+\\sigma-i\\omega)(s+\\sigma+i\\omega)} \n", - " = \\frac{C_1 + C_2s}{(s + \\sigma)^2 +\\omega^2}\n", - "\\end{equation}\n", - "with poles $-\\sigma + i\\omega$ and $-\\sigma -i\\omega$, has inverse\n", - "\\begin{equation}\n", - "f(t) = \\left(\n", - " \\frac{C_1 - C_2\\sigma}{\\omega}e^{-\\sigma t}\\sin(\\omega t) + C_2e^{-\\sigma t}\\cos(\\omega t)\n", - "\\right) \\theta(t)\n", - "\\end{equation}\n" - ] - }, - { - "cell_type": "markdown", - "id": "e853a336", - "metadata": {}, - "source": [ - "#### Stability and oscillations\n", - "\n", - "In summary, for a system with poles $p_i = \\sigma_i + i \\omega$,\n", - "\n", - "- the system is stable only if all real parts are negative $\\sigma_i < 0$\n", - "\n", - "and\n", - "\n", - "- a system with fully real poles (all $\\omega_i = 0$) exhibits exponential behaviour,\n", - "- a system with fully imaginary poles (all $\\sigma_i = 0$) exhibits pure oscillations,\n", - "- a system with complex poles exhibits damped ($\\sigma_i < 0$) or exponentially growing ($\\sigma_i > 0$) oscillations." - ] - }, - { - "cell_type": "markdown", - "id": "5124c491", - "metadata": {}, - "source": [ - "### Free and forced response\n", - "The ODE\n", - "\\begin{align}\n", - "\\tau \\dot{y} + y(t) = u(t)\n", - "\\end{align}\n", - "\n", - "has Laplace transform \n", - "\n", - "\\begin{align}\n", - "\\tau (s Y(s) - y(0)) + Y(s) = U(s)\n", - "\\end{align}\n", - "\n", - "or\n", - "\n", - "\\begin{align}\n", - "Y(s) = \\frac{\\tau y(0)}{\\tau s + 1} + \\frac{1}{\\tau s + 1} U(s)\n", - "\\end{align}\n", - "\n", - "The first term is called the **free** or **natural response** and represents the system's response to its initial conditions.\n", - "The second term is called the **forced response**." - ] - }, - { - "cell_type": "markdown", - "id": "e8e8fa9a-1889-4ac5-8b32-8c1dcdfd07fb", - "metadata": {}, - "source": [ - "## Block diagrams\n", - "\n", - "Long transfer functions can sometimes be broken up into _block diagrams_.\n", - "\n", - "In particular, two components **in series** corresponds to a simple multiplication:\n", - "\\begin{align}\n", - "Y(s) = G_2(s) G_1(s) U(s)\n", - "\\end{align}\n", - "\n", - "\n", - "\n", - "For blocks **in parallel** we find\n", - "\\begin{align}\n", - "Y(s) = \\left[G_1(s) + G_2(s)\\right] U(s)\n", - "\\end{align}\n", - "\n", - "\n", - "\n", - "And **negative feedback** reduces to\n", - "\\begin{align}\n", - "Y(s) = \\frac{G_1(s)}{1 + G_1(s)G_2(s)} U(s)\n", - "\\end{align}\n", - "\n", - "" - ] - }, - { - "cell_type": "markdown", - "id": "a120e9cb", - "metadata": {}, - "source": [ - "### First and second order systems with zeroed initial conditions\n", - "\n", - "#### A first order system with y(0) = 0\n", - "\n", - "The ODE\n", - "\\begin{align}\n", - "\\tau \\dot{y} + y(t) = u(t)\n", - "\\end{align}\n", - "\n", - "with $y(0) = 0$ has transfer function\n", - "\n", - "\\begin{align}\n", - "H(s) = \\frac{1}{1 + s\\tau} = \\frac{\\omega}{\\omega + s}\n", - "\\end{align}\n", - "\n", - "and impulse response\n", - "\n", - "\\begin{align}\n", - "h(t) = \\frac{1}{\\tau} e^{-t/\\tau}\n", - "\\end{align}" - ] - }, - { - "cell_type": "markdown", - "id": "766bf705", - "metadata": {}, - "source": [ - "#### A second order system with real & distinct poles\n", - "\n", - "The ODE\n", - "\n", - "\\begin{align}\n", - "a \\ddot{y} + b \\dot{y} + c y(t) = u(t)\n", - "\\end{align}\n", - "\n", - "with $y(0) = 0$ and $\\dot{y}(0) = 0$ has transfer function\n", - "\n", - "\\begin{align}\n", - "H(s) = \\frac{1}{a s^2 + b s + c} = \\frac{k}{(s - p_1)(s - p_2)} = \\frac{C_1}{s - p_1} + \\frac{C_2}{s - p_2}\n", - "\\end{align}\n", - "\n", - "where the last bit is a [partial fraction decomposition](https://en.wikipedia.org/wiki/Partial_fraction_decomposition).\n", - "As a result, it has impulse function\n", - "\n", - "\\begin{align}\n", - "h(t) = C_1 e^{p_1 t} + C_2 e^{p_2 t}\n", - "\\end{align}" - ] - }, - { - "cell_type": "markdown", - "id": "0edde5d4", - "metadata": {}, - "source": [ - "#### A second order system with imaginary poles\n", - "\n", - "The ODE\n", - "\\begin{align}\n", - "\\ddot{y} + 2\\zeta\\omega\\dot{y} + \\omega^2 = u(t)\n", - "\\end{align}\n", - "\n", - "with $y(0) = 0$, $\\dot{y}(0) = 0$, and $\\ddot{y}(0) = 0$, has transfer function\n", - "\n", - "\\begin{align}\n", - "H(s) = \\frac{1}{s^2 + 2\\zeta\\omega s + \\omega^2}\n", - "\\end{align}\n", - "\n", - "we can find the poles by solving $s^2 + 2\\zeta\\omega s + \\omega^2 = 0$ to find\n", - "\\begin{align}\n", - "-\\zeta \\omega \\pm \\omega \\sqrt{\\zeta^2 - 1}\n", - "\\end{align}\n", - "\n", - "If we consider the case where $\\zeta > 1$, then the poles are real and we have the system above.\n", - "For $\\zeta = 1$ we get a slightly different transfer function $\\frac{C_1s + C_2}{(s + \\omega)^2}$.\n", - "But for $0 \\leq \\zeta < 1$ the poles must be imaginary.\n", - "We can make this explicit by multiplying the term inside the square root by $-1$ and writing the poles as\n", - "\n", - "\\begin{align}\n", - "-\\zeta \\omega \\pm i \\omega \\sqrt{1 - \\zeta^2}\n", - "\\end{align}\n", - "for\n", - "\\begin{align}\n", - "H(s) = \\frac{1}{(s + \\zeta \\omega + i \\omega \\sqrt{1 - \\zeta^2})(s + \\zeta \\omega - i \\omega \\sqrt{1 - \\zeta^2})}\n", - " = \\frac{1}{(s + \\zeta \\omega)^2 + \\omega^2 (1 - \\zeta^2)}\n", - "\\end{align}\n", - "\n", - "Using the equation given above under \"poles and zeros\", we see that the impuls response is\n", - "\n", - "\\begin{align}\n", - "f(t) = \\frac{1}{\\omega \\sqrt{1 - \\zeta^2}}e^{-\\zeta\\omega t}\\sin\\left(\\omega \\sqrt{1 - \\zeta^2} t\\right) \\theta(t)\n", - " = \\frac{1}{\\omega_d}e^{-\\zeta\\omega t}\\sin\\left(\\omega_d t\\right) \\theta(t) \n", - "\\end{align}\n", - "\n", - "where $\\zeta$ is the _damping coefficient_, $\\omega$ is the _natural frequency_, and $\\omega_d = \\omega\\sqrt{1 - \\zeta^2}$ is the _damped frequency_." - ] - }, - { - "cell_type": "markdown", - "id": "8aedf673", - "metadata": {}, - "source": [ - "## Frequency response example: a low-pass filter\n", - "\n", - "In engineering (unlike in cell electrophysiology) the most interesting part of a system is often how it responds to a (co)sinusoidal input.\n", - "\n", - "We can obtain this by filling in the laplace transform of a sine or cosine for U(s), carrying out the multiplication with H(s), and then working out the inverse transform.\n", - "We'll do this below for illustrative purposes, but skip to the next section to see why people usually don't." - ] - }, - { - "cell_type": "markdown", - "id": "5462fea6", - "metadata": {}, - "source": [ - "### Deriving a transfer function\n", - "\n", - "The example we use is a [low-pass filter](https://en.wikipedia.org/wiki/Low-pass_filter), for example the schematic below:\n", - "\n", - "\n", - "\n", - "Using Kirchoff's laws we write a differential equation for $V$ in terms of $V_\\text{in}$\n", - "\n", - "\\begin{align}\n", - "\\left.\n", - "\\begin{aligned}\n", - "&V - V_\\text{in} = I_R R \\\\\n", - "&I_R = I_C = C\\frac{d}{dt}(0 - V) = -C\\dot{V} \\\\\n", - "\\end{aligned}\n", - "\\right\\}V - V_\\text{in} = -RC\\dot{V}\n", - "\\end{align}\n", - "\n", - "Using $\\omega = 1/RC$\n", - "\n", - "\\begin{align}\n", - "\\dot{V}(t) = \\omega\\left(V_\\text{in}(t) - V(t)\\right)\n", - "\\end{align}\n", - "\n", - "Apply a Laplace transformation, with initial conditions $V(0)=0$:\n", - "\n", - "\\begin{align}\n", - "s V(s) &= \\omega(V_\\text{in}(s) - V(s)) \\\\\n", - "V &= V_\\text{in} \\omega / (s + \\omega)\n", - "\\end{align}\n", - "\n", - "Then find the transfer function by dividing by $U(s) = V_\\text{in}(s)$ for\n", - "\n", - "\\begin{align}\n", - "H(s) &= \\frac{\\omega}{s + \\omega}\n", - "\\end{align}\n", - "\n" - ] - }, - { - "cell_type": "markdown", - "id": "708dac38", - "metadata": {}, - "source": [ - "### Finding the output\n", - "\n", - "To see why this is called a \"low-pass filter\", we apply the input\n", - "\n", - "\\begin{align}\n", - "u(t) = \\cos(\\phi t)\n", - " \\quad\\longrightarrow\\quad\n", - "U(s) = \\frac{s}{s^2 + \\phi^2}\n", - "\\end{align}\n", - "to get\n", - "\\begin{align}\n", - "Y(s) = H(s)U(s) = \\frac{\\omega s}{(s + \\omega)(s^2 + \\phi^2)}\n", - "\\end{align}\n", - "\n", - "Partial fraction decomposition lets us write this as \n", - "\\begin{align}\n", - "Y(s) = \\frac{A}{s + \\omega} + \\frac{B s + C}{s^2 + \\phi^2}\n", - "\\end{align}\n", - "\n", - "which we can bring under a common denominator and expand to\n", - "\n", - "\\begin{align}\n", - "Y(s) = \\frac{s^2(A + B) + s(B\\omega + C) + (A\\phi^2 + C\\omega)}{(s + \\omega)(s^2 + \\phi^2)}\n", - "\\end{align}\n", - "\n", - "which holds if $B = -A$ and $C = -\\frac{\\phi^2}{\\omega}A$.\n", - "For $A$ itself we find\n", - "\\begin{align}\n", - "\\omega = B\\omega + C = -A\\omega - \\frac{\\phi^2}{\\omega}A\n", - " \\,\\longrightarrow\\,\n", - "A = \\frac{\\omega}{-\\omega - \\phi^2/\\omega} = \\frac{-\\omega^2}{\\omega^2 + \\phi^2}\n", - "\\end{align}\n", - "\n", - "Filling in expressions for $B$ and $C$ we arrive at\n", - "\n", - "\\begin{align}\n", - "Y(s) = A\\frac{1}{s + \\omega} -A\\frac{s}{s^2 + \\phi^2} - A\\frac{\\phi}{\\omega}\\frac{\\phi}{s^2 + \\phi^2}\n", - "\\end{align}\n", - "\n", - "which translates back easily to\n", - "\n", - "\\begin{align}\n", - "y(t) = Ae^{-\\omega t} -A\\left[\\cos(\\phi t) + \\frac{\\phi}{\\omega}\\sin(\\phi t)\\right]\n", - "\\end{align}\n", - "\n", - "This shows us that the response can be broken up into two parts: a **transient response**, depending only on (A and) the filter frequency $\\omega$, and a **periodic response**, with the frequency of the input signal, $\\phi$." - ] - }, - { - "cell_type": "markdown", - "id": "73fe61e8", - "metadata": {}, - "source": [ - "#### Intermezzo: the harmonic addition theorem\n", - "\n", - "To simplify further we need something known as the \"harmonic addition theorem\", which shows that we can write the grouped terms above as a single cosine with a phase shift:\n", - "$$a\\cos(x) + b\\sin(x) = c\\cos(x + z)$$\n", - "\n", - "to see that this is true and find the appropriate $c$ and $z$ we write\n", - "\n", - "\\begin{align}\n", - "a\\cos(x) + b\\sin(x) &= c\\cos(x + z) \\\\\n", - " &= c\\cos(x)\\cos(z) - c\\sin(x)\\sin(z)\n", - "\\end{align}\n", - "so that\n", - "\\begin{align}\n", - "\\left.\\begin{aligned} a &= c\\cos(z) \\\\ b &= -c\\sin(z) \\end{aligned}\\right\\}\n", - "\\quad \\tan{z}=\\frac{\\sin(y)}{\\cos(z)}=\\frac{-b}{a}\n", - "\\quad \\longrightarrow \\quad z = \\arctan(-b/a)\n", - "\\end{align}\n", - "and\n", - "$$a^2 + b^2 = c^2\\cos^2(z) + c^2\\sin^2(z) = c^2 \\quad \\longrightarrow \\quad c = \\pm \\sqrt{a^2 + b^2}$$" - ] - }, - { - "cell_type": "markdown", - "id": "c677459a", - "metadata": {}, - "source": [ - "##### Form using sign(a)\n", - "\n", - "Finally, because $\\arctan$ by definition returns a value $z \\in (-\\pi/2, \\pi/2)$ we have $\\cos(z) \\geq 0$ and so $a$ and $c$ must have the same sign, denoted $\\operatorname{sign}(a)$.\n", - "This gives us the final result:\n", - "\n", - "\\begin{align}\n", - "a\\cos(x) + b\\sin(x) = \\operatorname{sign}(a)\\sqrt{a^2+b^2} \\cos(x + \\arctan(-b/a))\n", - "\\end{align}" - ] - }, - { - "cell_type": "markdown", - "id": "700c1da2", - "metadata": {}, - "source": [ - "##### Atan2 form\n", - "\n", - "Alternatively, we can use [atan2(b, a)](https://en.wikipedia.org/wiki/Atan2).\n", - "This differs from $\\arctan(b/a)$ by either $+\\pi$ or $-\\pi$ whenever $a < 0$, and since $\\cos(x \\pm \\pi) = -\\cos(x)$ this means the $\\cos$ will have the same sign as $a$ so that we can write:\n", - "\n", - "\\begin{align}\n", - "a\\cos(x) + b\\sin(x) = \\sqrt{a^2+b^2} \\cos(x + \\operatorname{atan2}(-b, a))\n", - "\\end{align}" - ] - }, - { - "cell_type": "markdown", - "id": "90cd96d6", - "metadata": {}, - "source": [ - "#### Back to the low-pass filter!\n", - "\n", - "Filling in $a = 1$ and $b = \\phi / \\omega$ we get\n", - "\\begin{align}\\cos(\\phi t) + \\frac{\\phi}{\\omega}\\sin(\\phi t) \n", - " &= \\operatorname{sign}(1)\\sqrt{1 + \\phi^2/\\omega^2} \\cos\\left(\\phi t + \\arctan(-\\phi / \\omega)\\right) \\\\\n", - " &= \\sqrt{1 + \\phi^2/\\omega^2} \\cos\\left(\\phi t - \\arctan(\\phi / \\omega)\\right)\n", - "\\end{align}\n", - "\n", - "The complete response becomes\n", - "\n", - "\\begin{align}\n", - "y(t) &= \\frac{-\\omega^2}{\\omega^2 + \\phi^2} e^{-\\omega t} - \\frac{-\\omega^2}{\\omega^2 + \\phi^2} \\sqrt{1 + \\phi^2/\\omega^2} \\cos\\left(\\phi t - \\arctan(\\phi / \\omega)\\right) \\\\\n", - " &= -\\frac{\\omega^2}{\\omega^2 + \\phi^2} e^{-\\omega t} + \\frac{\\omega}{\\sqrt{\\omega^2 + \\phi^2}} \\cos\\left(\\phi t - \\arctan(\\phi / \\omega)\\right) \\\\\n", - "\\end{align}\n", - "\n", - "This clearly shows the **transient part** on the left, and the **periodic part** on the right, which has **the same frequency** as the input signal but a **phase shift** depending on the ratio of the input frequency to the filter frequency.\n", - "Both terms have an amplification or gain factor depending on both frequencies." - ] - }, - { - "cell_type": "markdown", - "id": "d674efb3", - "metadata": {}, - "source": [ - "#### Interpreting the result\n", - "\n", - "We applied an input $\\cos(\\phi t)$ and got a response consisting of an exponentially decaying term and an oscillation.\n", - "To analyse this further, let $\\lambda = \\phi / \\omega$ be the ratio between the input and the filter frequencies, so that $\\lambda > 1$ means the input frequency exceeds the filter frequency.\n", - "The equation above then simplifies to\n", - "\\begin{align}\n", - "y(t) = -\\frac{1}{1 + \\lambda^2} e^{-\\omega t} \n", - " + \\frac{1}{\\sqrt{1 + \\lambda^2}} \\cos\\left(\\phi t - \\arctan(\\lambda) \\right)\n", - "\\end{align}\n", - "\n", - "This means that, once the transient response has died out, the main effect of the filter is to apply a phase shift and a frequency-dependent scaling $(1 + \\lambda^2)^{-1/2}$.\n", - "We can plot this response on a linear scale or, as is more commonly done, on a log-log scale:" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "f59c1829", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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/IiwsDFFRUY12PBcXF6xatQqvv/46MjMzIZVKUVJSgpiYGPTo0aPRjkNERK2XSCRCJwdTdHIwxWtDPbHnfDZ+Pnodey/mqIfDt2tjhOn922FUVwfoSzkUnoQhUj1sNpYWpqCgAGZmZsjPz4epqanQcdRUKhVe++0Ufk1Ih7G+FL/P6oN2bYyFjtUotm/fjmHDhgkdg0gQZWVluHr1Ktzd3SGXy4WOoxMsLS2xatWqOofSC+FBn6G2tinUePgZE7V8abdK8PPRVPx89DoKy6oAALam+nihX1s83ctVp65b53m39tKkPRE3Wyp6IJFIhMVjfdDDzRJF5VWY/mMCisqrhI5FRNSs0tPTcfv2bfWEdURERE3N2dIQb4R64tAbg7BguBfsTOW4WVCOD7aew6BP92LD8VRUKZRCx6RWhEW6FtGTiPH1U11ha6qPlOwizPv15ENvO0NE1JKcPn0aRkZGaNu2rdBRiIiolTGR6+GF/m0R91oQlo71gb2ZHDfyy/D6xtMIiYzD9jOZPDenZsEiXcvYmMgR/bQ/9CQibDuThW/jrggdiYio2YSGhqKoqAgiESftISIiYcikYjzZwwV7Xh2It0Z4wcJQD1dyijHjpxOYvPIYUrKLhI5ILRyLdC3UzcUC743sDAD4dMcFJKXdEToSEREREVGrIteTYFq/6p71lwd5QCYV40BKLkK/iMPSbedRzEtTqYmwSNdSk3q44LEu9qhSVt9HvbCsUuhIRERErcby5cvRqVMndO/eXegoRCQwE7keXgnpiL/nDsBgLxtUKlT4Zt9lhHwehwOXcoWORy0Qi3QtJRKJ8OEYHziaGyD1Vgne/f2s0JGIiIhajfDwcCQnJ+P48eNCRyEiLeFiZYjvn+mOlc8EwNnSABl3SvH0yqN4c/NpTvhMjYpFuhYzM9DDF0/6QSwCNiVmYEtihtCRiIiIiIhatWAvW+yY0x/PBLoCAP7vaCqGfh6Ho1fyhI5GLQSLdC0X4GaJ2cHtAQBvbTmDjDulQkciIiIiImrVDGVSLBzljf97oSecLKp71Sd+dwRf7boEhZIzwNOjYZGuA2YFeaCbizmKyqswf9Np3vqBiIiIiEgL9G5nje1z+mNsN0coVcCy2IuYsuoosgvLhI5GOoxFug6QSsT4ZLwvZFIx4i7m4Nf4dKEjERERERERAGN9KT57wg+fjveFgZ4EB1PyMOLLA0hMvS10NNJRLNJ1RLs2xng1pAMA4P2/knGDw96JiIiIiLTGOH8n/PlyH3SwNUZOYTkmrDiCzYnsXCPNsUjXIVP7tkVXF3MUctg7EREREZHW8bAxwaaZfTCkky0qqpSYu+EklsSc43XqpBEW6TpEIhbhk3FdIJOKse9iDn5N4DdzRNR8KioqhI5ARESk9Yz1pfj2aX/MCvIAAHwbdwUv/ZSAskqF0NFIR7BI1zEeNiaIGFI97P3DreeQW1QudCQiaqEGDhyIWbNmISIiAtbW1hgyZAiSk5MxfPhwGBsbw9bWFpMnT0Zubq56m99++w0+Pj4wMDCAlZUVBg8ejOLiYgDAs88+i9GjR2PhwoWwsbGBqakppk+fXqP4Ly8vx+zZs2FjYwO5XI6+ffvWuE/13r17IRKJsGvXLgQEBMDQ0BC9e/fGhQsX1OucPHkSQUFBMDExgampKfz9/REfH69+/tChQ+jfvz8MDAzg7OyM2bNnqzMSERE1BrFYhFeHdsSXE7tCJhVjZ/JNTFl5DPmllUJHIx3AIl0HTevrjk72psgvrcTimHNCxyEiDahUKpRUVAnyaMglMj/88AOkUikOHjyIpUuXYsCAAfDz80N8fDy2b9+Omzdv4oknngAAZGZmYuLEiXj++edx7tw57N27F2PHjq1x3F27duHcuXPYs2cP1q1bh82bN2PhwoXq51977TVs3LgRP/zwA06cOAEPDw8MHToUt27dqpFrwYIFWLZsGeLj4yGVSvH888+rn3vqqafg5OSE48ePIyEhAW+88Qb09PQAAKdPn8bQoUMxduxYnDp1Chs2bMCBAwcwa9asBn2eREREDzLS1wE/Pt8DJnIpjl27hQnfHsbNAs78Tg8mUrWyC5sLCgpgZmaG/Px8mJqaCh2nwZLS7mBM1EGoVMD/vdATvdtZCx3pvrZv345hw4YJHYNIEGVlZbh69Src3d0hl8tRUlGFTu/sECRL8qKhMJRJ673+wIEDkZ+fj8TERADAO++8g6NHj2LHjn/yp6enw9nZGRcuXEBRURH8/f1x7do1uLq61trfs88+iz///BNpaWkwNDQEAHzzzTeYN28e8vPzUVpaCgsLC6xZswaTJk0CAFRWVsLNzQ1z5szBvHnzsHfvXgQFBeHvv/9GcHAwACAmJgYjRoxAaWkp5HI5TE1N8dVXX+GZZ56plWHKlCkwMDDAt99+q1524MABDBgwAMXFxZDL5bW2+e9n+G8tpU2h++NnTESN4VxmAaasOoacwnI4mhtg/Yu94Gxp2OjH4Xm39tKkPWFPuo7yczbH0z2rT4Lf2nwG5VW8xoWIGl9AQID67wkJCdizZw+MjY3VD09PTwDA5cuX4evri+DgYPj4+GD8+PH47rvvcPt2zdvP+Pr6qgt0AAgMDERRURHS0tJw+fJlVFZWok+fPurn9fT00KNHD5w7V3PUUJcuXdR/t7e3BwBkZ2cDACIiIjBt2jQMHjwYS5cuxeXLl2u8hjVr1tR4DUOHDoVSqcTVq1cb8Z0jIiL6h5e9KTa91Bvu1kbIuFOKJ1ccQdqtEqFjkZaqf5dKE4mKisInn3yCzMxMdO7cGZGRkejXr99911++fDm+/vprXLt2DS4uLliwYAGmTJnSrJm1xbxhHbH9bBau5Bbjm71X8L/B7YWOREQPYaAnQfKioYIdW1NGRkbqvyuVSoSFheGjjz6qtZ69vT0kEgliY2Nx6NAh7Ny5E1999RUWLFiAo0ePwt3d/YHHEYlE6mHxIpGoxnMqlarWsnvD1/+9vlKpBAC89957mDRpErZu3Ypt27bh3Xffxfr16zFmzBgolUpMnz4ds2fPrpXBxcWlnu8KERGR5pwtDbH+xV6YuOIIruQW48kVR7DuhV5wsWr8HnXSbYL2pG/YsAFz5szBggULkJiYiH79+iE0NBSpqal1rh8dHY358+fjvffew9mzZ7Fw4UKEh4fjzz//bPbs2sBUrod3HusEAFi+NwVXcznxEZG2E4lEMJRJBXn8t9DVVLdu3XD27Fm4ubnBw8OjxuNeMS8SidCnTx8sXLgQiYmJkMlk2Lx5s3ofJ0+eRGlpqfrnI0eOwNjYGE5OTvDw8IBMJsOBAwfUz1dWViI+Ph5eXl4aZe3QoQPmzp2LnTt3YuzYsVi9enWN1/Df/PeOTURE1JRsTeVY/2IvtG1zr0f9MFLz2KNONQlapH/22WeYOnUqpk2bBi8vL0RGRsLZ2RnR0dF1rv/jjz9i+vTpmDBhAtq2bYsnn3wSU6dOrbNXp7V4rIs9+ndog4oqJd75/QzvnU5ETSY8PBy3bt3CxIkTcezYMVy5cgU7d+7E888/D4VCgaNHj2Lx4sWIj49HamoqNm3ahJycnBoFdkVFBaZOnYrk5GR1L/esWbMgFothZGSEl156CfPmzcP27duRnJyMF154ASUlJZg6dWq9MpaWlmLWrFnYu3cvrl+/joMHD+L48ePqDK+//joOHz6M8PBwJCUl4dKlS/jjjz/w8ssvN9n7RkRE9G82dwv1dm2McCO/DJO+P8LJ5KgGwYr0iooKJCQkICQkpMbykJAQHDp0qM5tysvLa03aY2BggGPHjqGysu7bGZSXl6OgoKDGoyURiUR4f1RnyKRi7L+Ui53JN4WOREQtlIODAw4ePAiFQoGhQ4fC29sb//vf/2BmZgaxWAxTU1PExcVh+PDh6NChA9566y0sW7YMoaGh6n0EBwejffv26N+/P5544gmEhYXhvffeUz+/dOlSPP7445g8eTK6deuGlJQU7NixAxYWFvXKKJFIkJeXhylTpqBDhw544oknEBoaqp5BvkuXLti3bx8uXbqEfv36oWvXrnj77bfV17UTERE1BxsTOda92AtuVoZIv11afXu2Et6ejaoJNrv7jRs34OjoiIMHD6J3797q5YsXL8YPP/xQ456397z55ptYvXo1/vrrL3Tr1g0JCQkYMWIEsrOzcePGjTpPst57770at/e5p6XN0vrpjgv4ek8KnCwM8HfEAMgbcO1pU+Esk9SaPWhm8Nbm2WefxZ07d7Blyxaho2iEs7u3bvyMiagppd0qwePRh5BdWA5/Vwv8OLWHRndi+S+ed2svnZrdvT4TBN3z9ttvIzQ0FL169YKenh5GjRqFZ599Frjbe1KX+fPnIz8/X/1IS0trglchvJlB7WBnKkf67VKsiLsidBwiIiIiInoIZ0tD/Di1J0zlUiRcv42ZP59AlUIpdCwSmGBFurW1NSQSCbKysmosz87Ohq2tbZ3bGBgYYNWqVSgpKcG1a9eQmpoKNzc3mJiYwNq67vuE6+vrw9TUtMajJTKUSfHmiOprLqP2piDjTulDtyEiIiIiImF1tDPB6ue6Q64nxt4LOVj0V7LQkUhgghXpMpkM/v7+iI2NrbE8Nja2xvD3uujp6cHJyQkSiQTr16/HY489BrFY8EEBggvrYo8e7pYoq1Ri8dZz9diCiKj5rFmzRueGulPrtXz5cnTq1Andu3cXOgoRtQL+rpb44smuEImAtYevY83Bq0JHIgEJWtlGRETg+++/x6pVq3Du3DnMnTsXqampmDFjBnB3qPq/74F+8eJF/PTTT7h06RKOHTuGJ598EmfOnMHixYsFfBXaQyQS4b2wzhCLgK2nM3Hocq7QkYiIiHRSeHg4kpOTcfz4caGjEFErMbSzHV4f5gkAWPRXMvZcyBY6EglE0CJ9woQJiIyMxKJFi+Dn54e4uDjExMTA1dUVAJCZmVnjnukKhQLLli2Dr68vhgwZgrKyMhw6dAhubm4Cvgrt0snBFE/1rH7/Fv6RzGtaiLQEb4+ou/jZERFRc5nevy2eCHCCUgW8/H+JuJBVKHQkEkDDpw5sJDNnzsTMmTPrfG7NmjU1fvby8kJiYmIzJdNdEUM64M9TN3DhZiF+PpqKZ3rzSwwioejp6QEASkpKYGBgIHQcaoCSkhLgX58lERFRUxGJRPhgtA+u55Xg6NVbmP5jPP54uS9M5WyDWhPBi3RqfBZGMrwypAPe/v0sIv++iNF+jjAz5C82kRAkEgnMzc2RnV09ZM3Q0PC+d7Ag7aJSqVBSUoLs7GyYm5vf9y4iREREjUkmFSP6aX+EfXUA1/JK8OovJ/HtZH+eP7QiLNJbqIk9XPDD4etIyS7C13suYcGITkJHImq17OzsgLt3ryDdY25urv4MiYiImoOlkQxRT3XD+G8OY2fyTXyz7wpeGthO6FjUTFikt1BSiRgLRnjhudXHsebQNTzdyxWuVkZCxyJqlUQiEezt7WFjY4PKykqh45AG9PT02INORESC8HU2x3sjO+PNzafxyY7z6OJkhj4edd92mloWFukt2MAObdCvvTX2X8rF0m3nEf20v9CRiFo1iUTCgo+IiIjqbWIPZ5xIvY3fEtIxe10iYv7XD7amcqFjURPjzcVbMJFIhAUjvCAWAdvOZOHY1VtCRyIiIiIionqqnkjOG172psgrrsArv5yEUsm7jrR0LNJbOE87U0zo7gIA+GBrMn+piYiIiIh0iFxPgq8mdoVcT4wDKbn4/sAVoSNRE2OR3gpEDOkAI5kEp9Lz8cfJG0LHISIiIiIiDXjYGOPdsM4AgE92XMDp9HyhI1ETYpHeCrQx0cfMIA8AwEfbz6O0QiF0JCIiIiIi0sCT3Z0xrLMdKhUqzF6fiOLyKqEjURNhkd5KTO3rDkdzA2Tml2Elh8gQEREREekUkUiEpY/7wM5Ujqu5xVj0Z7LQkaiJsEhvJeR6Erw2rCMAIGrvZWQXlgkdiYiIiIiINGBuKMPnE/wgEgEb4tOw50K20JGoCbBIb0VG+jrAz9kcJRUKLNtxUeg4RERERESkocB2Vni2txsAYP7G0ygoqxQ6EjUyFumtiEgkwtuPeQEAfk1Iw/msAqEjERERERGRhl4b6gk3K0NkFZThg7847L2lYZHeyvi7WmK4jx2UKmBxzHmh4xARERERkYYMZBJ8PM4XIhHwS3w69nLYe4vCIr0Ven2YJ/QkIsRdzMG+izlCxyEiIiIiIg31cLf8Z9j7Jg57b0lYpLdCrlZGmBJY/Qu9eOs5KJQqoSMREREREZGG7g17z8wvw9JtHCXbUrBIb6VeHuQBMwM9XLhZiN8S0oSOQ0REREREGjKQSbD08S4AgP87moor+ex8awlYpLdS5oYyvDzIAwDw6c6LKC6vEjoSERERERFpqFdbK4zzdwIA/HxRiUqFUuhI9IhYpLdikwNd4WJpiJzCcqyIuyJ0HCIiIiIiaoA3h3vB3FAPGcXAmoPXhI5Dj0gqdAASjr5UgjdCPTHz5xNYEXcFk3q6wNZULnQsIiIirRMbGwsjIyOhYxAR3VeYsxI/XgA+2X4ORrcuwFIuEjoS/UtxcXG912WR3sqFetvB39UCCddvY9nOC/h4nK/QkYiIiAS3fPlyLF++HAqFAgAwZMgQmJqaCh2LiOi+hqpUOLw0Bin5wJ6CNvhudIDQkehfCgoK6r0uh7u3ciKRCAtGeAEAfk1IR/KN+v/jISIiaqnCw8ORnJyM48ePCx2FiKheRCIRJnUQQyoWITb5Jnaduyl0JGogFumEbi4WGNHFHioVsDjmHFQqzgpJRERERKRrHIxEmNrPHQDwwdZzqKjiJHK6iEU6AQBeH+oJmUSMAym52HcxR+g4RERERETUAC8Pao82Jvq4mluMNYeuCh2HGoBFOgEAXKwM8UxvVwDVvelVvHUDEREREZHOMdaX4rWhHQEAX+5KQU5hudCRSEOCF+lRUVFwd3eHXC6Hv78/9u/f/8D1f/75Z/j6+sLQ0BD29vZ47rnnkJeX12x5W7JZQe1hbqiHizeL8GtCutBxiIiIiIioAR7v5gRfJzMUlVfhkx3nhY5DGhK0SN+wYQPmzJmDBQsWIDExEf369UNoaChSU1PrXP/AgQOYMmUKpk6dirNnz+LXX3/F8ePHMW3atGbP3hKZGeph9qD2AIBlOy+iqLxK6EhERERERKQhsViEd8I6A3cnhz6VfkfoSKQBQYv0zz77DFOnTsW0adPg5eWFyMhIODs7Izo6us71jxw5Ajc3N8yePRvu7u7o27cvpk+fjvj4+GbP3lI93csVrlaGyC0qx4p9l4WOQ0REREREDeDvaoExXR2hUgEL/0zm5NA6RLAivaKiAgkJCQgJCamxPCQkBIcOHapzm969eyM9PR0xMTFQqVS4efMmfvvtN4wYMeK+xykvL0dBQUGNB92fTCrGG8M8AQAr9l9BVn6Z0JGIiIiIiKgBXh/mCQM9CRKu38aOs1lCx6F6EqxIz83NhUKhgK2tbY3ltra2yMqq+x9Q79698fPPP2PChAmQyWSws7ODubk5vvrqq/seZ8mSJTAzM1M/nJ2dG/21tDTDvO0Q4GqBskolPt15Qeg4RERERETUAHZmcky7e0u2j7dfQCUnh9YJgk8cJxKJavysUqlqLbsnOTkZs2fPxjvvvIOEhARs374dV69exYwZM+67//nz5yM/P1/9SEtLa/TX0NKIRCIsGOEFANh4Ih1nb+QLHYmIiIiIiBrgxf5tYWkkw5XcYmw4zlpIFwhWpFtbW0MikdTqNc/Ozq7Vu37PkiVL0KdPH8ybNw9dunTB0KFDERUVhVWrViEzM7PObfT19WFqalrjQQ/X1cUCYb4OUKmqb8nGa1iIiIiIiHSPiVwPswd5AAAi/76EYk4OrfUEK9JlMhn8/f0RGxtbY3lsbCx69+5d5zYlJSUQi2tGlkgkwN0eeGpcrw3tCJlEjIMpedh7IUfoOERERERE1ACTev4zOfT3+68KHYceQtDh7hEREfj++++xatUqnDt3DnPnzkVqaqp6+Pr8+fMxZcoU9fphYWHYtGkToqOjceXKFRw8eBCzZ89Gjx494ODgIOAraZmcLQ3xXB83AMCHMedQxWtYiIiIiIh0jkwqxqshHQEAK+IuI7eoXOhI9ACCFukTJkxAZGQkFi1aBD8/P8TFxSEmJgaurq4AgMzMzBr3TH/22Wfx2Wef4euvv4a3tzfGjx+Pjh07YtOmTQK+ipZtZpAHzA31kJJdhA3xvIaFiIiIiEgXjfCxRxcnMxRXKPDlrktCx6EHEKla2TjxgoICmJmZIT8/n9en19Pqg1ex8M9kWBvLsHdeEIz1pRptv337dgwbNqzJ8hERCYVtSsvHz5iIdMnDzrsPXc7FpO+OQk8iwu5XBsLZ0rBZ87VmmrQngs/uTtrvqZ6ucLc2Qm5RBb7Ze1noOERERERE1AC921mjr4c1KhUqfLWbvenaikU6PZRMKsbrwzwBAN/tv4LM/FKhIxERERERUQPMHdIBALDxRAau5RYLHYfqwCKd6mVoZ1v0cLNEeZUSn+y4IHQcIiIiIiJqAH9XCwzs2AYKpYrXpmspFulULyKRCAtGeAEANidm4ExGvtCRiIiIiIioASLu9qZvScpASnaR0HHoP1ikU735OptjlJ8DVCrgw63neG96IiIiIiId1MXJHEM62UKpAr5gb7rWYZFOGnk1pCNkUjEOX8nD7vPZQschIiIiIqIGmDu4ujf9r1M3cCGrUOg49C8s0kkjzpaGeK6PGwBgccw5VCmUQkciIiKqlzFjxsDCwgLjxo0TOgoRkeA6OZhiuI8dVCrg89iLQsehf2GRThoLD/KAhaEeLucUY93xNKHjEBER1cvs2bOxdu1aoWMQEWmNOYM7QCQCtp/NwvmsAqHj0F0s0kljpnI9zLk7PCYy9iIKyyqFjkRERPRQQUFBMDExEToGEZHW6GBrglBvOwBA1J7LQsehu1ikU4NM6umCttZGyCuuQPRe/kITEbVkGRkZePrpp2FlZQVDQ0P4+fkhISGh0fYfFxeHsLAwODg4QCQSYcuWLXWuFxUVBXd3d8jlcvj7+2P//v2NloGIqLUKD/IA7l6bfpX3TdcKLNKpQfQkYrwR6gkAWHngKjLulAodiYiImsDt27fRp08f6OnpYdu2bUhOTsayZctgbm5e5/oHDx5EZWXtEVbnz59HVlZWndsUFxfD19cXX3/99X1zbNiwAXPmzMGCBQuQmJiIfv36ITQ0FKmpqep1/P394e3tXetx48aNBr12IqLWoLODGQZ52kCpAqL3pggdh1ik06MY0skWPd0tUV6lxLIdF4SOQ0RETeCjjz6Cs7MzVq9ejR49esDNzQ3BwcFo165drXWVSiXCw8MxadIkKBQK9fKLFy8iKCjovteDh4aG4oMPPsDYsWPvm+Ozzz7D1KlTMW3aNHh5eSEyMhLOzs6Ijo5Wr5OQkIAzZ87Uejg4OGj8upcvX45OnTqhe/fuGm9LRKRr7vWmbzqRwc43LcAinRpMJBJhwQgvAMCmxAycTs8XOhIRETWyP/74AwEBARg/fjxsbGzQtWtXfPfdd3WuKxaLERMTg8TEREyZMgVKpRKXL1/GoEGDMHLkSLz22msNylBRUYGEhASEhITUWB4SEoJDhw41aJ8PEx4ejuTkZBw/frxJ9k9EpE38XS0Q2NYKVUoVVuzjpaxCY5FOj6SLkzlG+1X3UHwYkwyVSiV0JCIiakRXrlxBdHQ02rdvjx07dmDGjBkPnCXdwcEBu3fvxsGDBzFp0iQMGjQIwcHB+OabbxqcITc3FwqFAra2tjWW29ra3ncIfV2GDh2K8ePHIyYmBk5OTizAiYj+Zdag6t709cfTkFNYLnScVo1FOj2yecM8IZOKceTKLfx9LlvoOERE1IiUSiW6deuGxYsXo2vXrpg+fTpeeOGFGsPM/8vFxQVr167Fhg0bIJVKsXLlSohEokfO8t99qFQqjfa7Y8cO5OTkoKSkBOnp6RzKTkT0L73bWaGriznKq5T4/sAVoeO0aizS6ZE5mhtgal93AMCSbedQqVAKHYmIiBqJvb09OnXqVGOZl5dXjQnb/uvmzZt48cUXERYWhpKSEsydO/eRMlhbW0MikdTqNc/Ozq7Vu05ERA0jEokw6+616T8dvo47JRVCR2q1WKRTo5g5sB2sjGS4klOMtYevCx2HiIgaSZ8+fXDhQs3JQS9evAhXV9c618/NzUVwcDC8vLywadMm7N69G7/88gteffXVBmeQyWTw9/dHbGxsjeWxsbHo3bt3g/dLREQ1DfK0gaedCYorFPj56P2/jKWmpVGRrlKpcP36dZSWcsY/qslErodXh3YEAETGXuR1LEREAmnstnru3Lk4cuQIFi9ejJSUFPzf//0fVqxYgfDw8FrrKpVKDBs2DK6uruqh7l5eXvj777+xZs0afP7553Ueo6ioCElJSUhKSgIAXL16FUlJSTV66yMiIvD9999j1apVOHfuHObOnYvU1FTMmDGjUV4nERFV96a/2L8tAGD1wWsoq1Q8dBtqfBoX6e3bt0d6enrTJSKd9USAM3wczVBYXoWPt58XOg4RUavU2G119+7dsXnzZqxbtw7e3t54//33ERkZiaeeeqrWumKxGEuWLMHGjRshk8nUy318fPD3339j3LhxdR4jPj4eXbt2RdeuXYG7BXnXrl3xzjvvqNeZMGECIiMjsWjRIvj5+SEuLg4xMTH37dEnIqKGCfN1gL2ZHLlF5fg9KUPoOK2SRkW6WCxG+/btkZeX13SJSGdJxCIsHNUZAPBrQjoSU28LHYmIqNVpirb6sccew+nTp1FWVoZz587hhRdeuO+6Q4YMgVwur7Xcz88Pzs7OdW4zcOBAqFSqWo81a9bUWG/mzJm4du0aysvLkZCQgP79+zfCqyMion/Tk4jxfJ/q+aZWxF2BUsm7NzU3ja9J//jjjzFv3jycOXOmaRKRTuvmYoHHuzkBAN794yx/qYmIBMC2moiIHsWTPZxhoi/F5Zxi7D7Puzc1N6mmGzz99NMoKSmBr68vZDIZDAwMajx/69atxsxHOuj10I7YcTYLp9Lz8Ut8GsyFDkRE1MqwrSYiokdhItfDpF4u+HbfFayIu4LBnXgnjeakcZEeGRnZNEmoxbAxkWPO4Pb4YOs5fLzjAhb4sTediKg5sa0mIqJH9Vxvd6w6cBXHrt1CYuptdHWxEDpSq6Fxkf7MM880TRJqUZ7p7Yb1x9OQkl2Ev66J8LjQgYiIWhG21URE9KjszOQY6euIjSfSsSLuCqKf9hc6UqvRoPukKxQKbNy4ER988AE+/PBDbN68GQpFw6bnj4qKgru7O+RyOfz9/bF///77rvvss89CJBLVenTu3LlBx6amoycR472w6s9lX4YK57MKhI5ERNSqNGZbTURErdO927FtP5uFa7nFQsdpNTTuSU9JScHw4cORkZGBjh07QqVS4eLFi3B2dsbWrVvRrl27eu9rw4YNmDNnDqKiotCnTx98++23CA0NRXJyMlxcXGqt/8UXX2Dp0qXqn6uqquDr64vx48dr+jIQGxsLIyMjjbcjzXS1BhJzgZdX70eEnxgikUjoSEREjaa4WDtPWBqzrSYiotaro50JBnZsg70XcrDq4FUsGuUtdKRWQaRSqTS6YHj48OFQqVT4+eefYWlpCQDIy8vD008/DbFYjK1bt9Z7Xz179kS3bt0QHR2tXubl5YXRo0djyZIlD91+y5YtGDt2LK5evVrv+6QWFBTAzMwM+fn5MDU1rXdWapi0WyUY9OkeVCqBryZ2RZivg9CRiIgajba2KY3ZVrd22voZExHVZfv27Rg2bFij7nP/pRxMXnkMRjIJDr8ZDFO5XqPuv7XQpD3ReLj7vn378PHHH6sbfQCwsrLC0qVLsW/fvnrvp6KiAgkJCQgJCamxPCQkBIcOHarXPlauXInBgwc/sEAvLy9HQUFBjQc1H2dLQwx1qe49/3DrORSVVwkdiYioxWustpqIiKivhzXa2xijuEKBX46nCR2nVdC4SNfX10dhYWGt5UVFRZDJZPXeT25uLhQKBWxta07nb2tri6ysrIdun5mZiW3btmHatGkPXG/JkiUwMzNTP5ydneudkRpHiLMILpaGyCoow+exF4WOQ0TU4jVWW01ERCQSifBsHzcAwA+Hr0Gh5J2bmprGRfpjjz2GF198EUePHoVKpYJKpcKRI0cwY8YMjBw5UuMA/71GWaVS1eu65TVr1sDc3ByjR49+4Hrz589Hfn6++pGWxm9/mptMIsKiUdWTyK0+eBVnb+QLHYmIqEVr7LaaiIhat7FdnWBmoIe0W6XYde6m0HFaPI2L9C+//BLt2rVDYGAg5HI55HI5+vTpAw8PD43uy2ptbQ2JRFKr1zw7O7tW7/p/qVQqrFq1CpMnT35oj4C+vj5MTU1rPKj5DexogxE+9lCqgAWbz0DJb+CIiJpMY7XVREREAGAgk+DJHtUjklcfvCZ0nBZP49ndzc3N8fvvvyMlJQXnzp2DSqVCp06d4OHhodF+ZDIZ/P39ERsbizFjxqiXx8bGYtSoUQ/cdt++fUhJScHUqVM1jU8CevuxTth3MQdJaXew7ngqnupZv8n+iIhIM43VVhMREd0zJdAN3++/isNX8nAuswBe9uz8bCoa96QvWrQIJSUl8PDwQFhYGEaOHAkPDw+UlpZi0aJFGu0rIiIC33//PVatWoVz585h7ty5SE1NxYwZM4C7Q9WnTJlSa7uVK1eiZ8+e8PbmLQB0iZ2ZHK+EdAAAfLTtPHIKy4WORETUIjVmW01ERAQAjuYGGNq5esTzGvamNymNi/SFCxeiqKio1vKSkhIsXLhQo31NmDABkZGRWLRoEfz8/BAXF4eYmBj1bO2ZmZlITU2tsU1+fj42btzIXnQdNbmXK7wdTVFQVoUlMeeEjkNE1CI1ZltNRER0z3N93AEAW5IycKu4Qug4LZbGRfr9JnY7efJkjVu91NfMmTNx7do1lJeXIyEhAf3791c/t2bNGuzdu7fG+mZmZigpKcELL7yg8bFIeFKJGB+O9oFIBGxKzMChy7lCRyIianEau60mIiICgABXC3g7mqK8Sol1x1LrsQU1RL2LdAsLC1haWkIkEqFDhw6wtLRUP8zMzDBkyBA88cQTTZuWWgRfZ3M8ffd69Le2nEF5lULoSERELQLbaiIiakoikQjP9a7uTf/x8HVUKpRCR2qR6j1xXGRkJFQqFZ5//nksXLgQZmZm6udkMhnc3NwQGBjYVDmphXl1aEdsO5OFKznFWLHvCl4Obi90JCIince2moiImtpjvvZYsu08sgrKsPPsTYzoYi90pBan3kX6M888AwBwd3dHnz59IJVqPDE8kZqZgR7efswL/1ufhK92pyDUxx4eNsZCxyIi0mlsq4mIqKnpSyWY2MMZX+1OwU9HrrNIbwIaX5NeXFyMXbt21Vq+Y8cObNu2rbFyUSsw0tcBAzu2QYVCiTc2nuK904mIGgnbaiIiakoTe7hALAIOX8lDSnah0HFaHI2L9DfeeAMKRe1riFUqFd54443GykWtgEgkwodjfGAkkyD++m38dPS60JGIiFoEttVERNSUHMwNEOxVfTu2n45wArnGpnGRfunSJXTq1KnWck9PT6SkpDRWLmolHM0N8HqoJ3D33ukZd0qFjkREpPPYVhMRUVOb3Kt6IuiNCekoqagSOk6LonGRbmZmhitXrtRanpKSAiMjo8bKRa3I0z1dEeBqgeIKBRZsPg2VisPeiYgeBdtqIiJqan09rOFqZYjC8ir8nnRD6DgtisZF+siRIzFnzhxcvnxZvSwlJQWvvPIKRo4c2dj5qBUQi0VY+ngXyCRi7L2Qw19yIqJHxLb60S1fvhydOnVC9+7dhY5CRKSVxGKR+rbKPx6+zo62RqRxkf7JJ5/AyMgInp6ecHd3h7u7O7y8vGBlZYVPP/20aVJSi+dhY4zZwR4AgIV/nkVeUbnQkYiIdBbb6kcXHh6O5ORkHD9+XOgoRERaa5y/E2RSMZIzC5CYdkfoOC2GxvdmMTMzw6FDhxAbG4uTJ0/CwMAAXbp0Qf/+/ZsmIbUa0we0w1+nMnE+qxAL/0zGlxO7Ch2JiEgnsa0mIqLmYGEkQ1gXB2w8kY6fjlxHNxcLoSO1CA26gapIJEJISAhCQkIaPxG1WnoSMT4e1wWjlx/EHydvYJSfg3rWSCIi0gzbaiIiag5P93LBxhPp+OtUJt4e0QkWRjKhI+m8BhXpxcXF2LdvH1JTU1FRUVHjudmzZzdWNmqFujiZY1q/tlgRdwXzN53GzrkWMDfkLzoRkabYVhMRUXPwczaHt6MpzmQU4NeENLzYv53QkXSexkV6YmIihg8fjpKSEhQXF8PS0hK5ubkwNDSEjY0NG356ZBFDOuDvczdxJacY7/5xFl88yWHvRESaYFtNRETNRSSqnkDujU2n8fPRVEzr2xZisUjoWDpN44nj5s6di7CwMNy6dQsGBgY4cuQIrl+/Dn9/f05GQ41CrifBZ0/4QSwCfk+6gW2nM4WORESkU9hWExFRcxrp5wATuRTX80qwPyVX6Dg6T+MiPSkpCa+88gokEgkkEgnKy8vh7OyMjz/+GG+++WbTpKRWx8/ZHC8NrB4qs2DLGeRytncionpjW01ERM3JUCbF2K6OAID1x1KFjqPzNC7S9fT0IBJVD1+wtbVFamr1h2BmZqb+O1FjmB3cHp52JrhVXIG3Np/hvReJiOqJbTURETW3J3u4AABik28ip5AdbI9C4yK9a9euiI+PBwAEBQXhnXfewc8//4w5c+bAx8enKTJSK6UvlWDZE76QikXYfjYLvyfdEDoSEZFOYFtNRETNzcveFL7O5qhSqrDxRLrQcXSaxkX64sWLYW9vDwB4//33YWVlhZdeegnZ2dlYsWJFU2SkVqyzgxn+F9weAPDO72dws6BM6EhERFqPbTUREQlhYndnAMCG42kcBfsI6lWk//HHH6isrAQABAQEICgoCADQpk0bxMTEoKCgACdOnICvr2/TpqVW6aWB7dDFyQwFZVV4feMp/sITEdWBbTUREQktzNcBRjIJruYW4+jVW0LH0Vn1KtLHjBmDO3fuAAAkEgmys7ObOheRmlQixrLxvpBJxdh7IQc/HbkudCQiIq3DtpqIiIRmpC/FSD8HgBPIPZJ6Felt2rTBkSNHAAAqlUo9GQ1Rc2lva4I3hnkCAD7Yeg6XbhYKHYmISKuwrSYiIm3wZPfqCeRizmThTkmF0HF0Ur2K9BkzZmDUqFGQSCQQiUSws7NT39blvw+ipvJcHzcM6NAG5VVKzF6fhPIqhdCRiIi0BttqIiLSBl2czOBlb4qKKiU2J2YIHUcnSeuz0nvvvYcnn3wSKSkpGDlyJFavXg1zc/OmT0f0LyKRCJ+M74JhkftxLrMAn2y/gLce6yR0LCIircC2moiItIFIJMLEHs545/ezWH8sDc/2duPoLg3Vq0gHAE9PT3h6euLdd9/F+PHjYWho2LTJiOpgYyLHJ+O6YOoP8fj+wFX079AG/Tu0EToWEZFWYFtNRETaYJSfIxbHnMOFm4VITLuDbi4WQkfSKRrfgu3dd99t1EY/KioK7u7ukMvl8Pf3x/79+x+4fnl5ORYsWABXV1fo6+ujXbt2WLVqVaPlIe0X7GWLyb1cAQCv/HoSt4p5rQsR0b81dltNRESkCTMDPQz3qb4VKCeQ05zGRXpj2rBhA+bMmYMFCxYgMTER/fr1Q2hoKFJT7/9BPvHEE9i1axdWrlyJCxcuYN26dfD09GzW3CS8N4d7wcPGGDmF5XjtN96WjYiIiIhIm0zsUT2B3J8nM1FYVil0HJ0iaJH+2WefYerUqZg2bRq8vLwQGRkJZ2dnREdH17n+9u3bsW/fPsTExGDw4MFwc3NDjx490Lt37/seo7y8HAUFBTUepPsMZBJ88aQfZBIx/j53Ez8d5Td0RERERETaIsDVAh42xiitVODPk5lCx9EpghXpFRUVSEhIQEhISI3lISEhOHToUJ3b/PHHHwgICMDHH38MR0dHdOjQAa+++ipKS0vve5wlS5bAzMxM/XB2dm7010LC6OxghteGdQQAvP9XMs7eyBc6EhERERER3Z1A7snu1bXXhuPsUNOEYEV6bm4uFAoFbG1tayy3tbVFVlZWndtcuXIFBw4cwJkzZ7B582ZERkbit99+Q3h4+H2PM3/+fOTn56sfaWlpjf5aSDjP93FHsKcNKqqUmPV/iRxKQ0RERESkJcZ0dYRULMLJ9HxcvFkodBydUe/Z3e/58ssv61wuEokgl8vh4eGB/v371/s+rP+djl+lUt13in6lUgmRSISff/4ZZmZmwN0h8+PGjcPy5cthYGBQaxt9fX3o6+vXKwvpHrFYhE/H+2LEl/txNbcY8zedxlcTu/I2D0TUqjV2W01ERNQQVsb6GORpg53JN/FbQjreHO4ldCSdoHGR/vnnnyMnJwclJSWwsLCASqXCnTt3YGhoCGNjY2RnZ6Nt27bYs2fPA4eWW1tbQyKR1Oo1z87OrtW7fo+9vT0cHR3VBToAeHl5QaVSIT09He3bt9f05VALYGEkw1eTumHCt4fx16lMBLazwlM9XYWORUQkmMZqq4mIiB7V+ABn7Ey+iU0nMjBvaEfoSQSdFk0naPwOLV68GN27d8elS5eQl5eHW7du4eLFi+jZsye++OILpKamws7ODnPnzn3gfmQyGfz9/REbG1tjeWxs7H0nguvTpw9u3LiBoqIi9bKLFy9CLBbDyclJ05dCLYi/qwVeH1Y9y//CP3l9OhG1bo3VVhMRET2qgR3bwNpYhtyicuy7kCN0HJ2gcZH+1ltv4fPPP0e7du3Uyzw8PPDpp59i/vz5cHJywscff4yDBw8+dF8RERH4/vvvsWrVKpw7dw5z585FamoqZsyYAdy9nnzKlCnq9SdNmgQrKys899xzSE5ORlxcHObNm4fnn3++zqHu1LpM6+eOwV68Pp2IqDHbaiIiokehJxFjtJ8jAODXBM4PVh8aF+mZmZmoqqqqtbyqqko9dN3BwQGFhQ+fGGDChAmIjIzEokWL4Ofnh7i4OMTExMDV1VV9rH/fM93Y2BixsbG4c+cOAgIC8NRTTyEsLOy+195R6yISVV+f7mhuoL4+nfdPJ6LWqDHbaiIiokc1PqD60qpd57KRV1QudBytp3GRHhQUhOnTpyMxMVG9LDExES+99BIGDRoEADh9+jTc3d3rtb+ZM2fi2rVrKC8vR0JCAvr3769+bs2aNdi7d2+N9T09PREbG4uSkhKkpaVh2bJl7EUnNXNDGb6c2BVSsQh/ncrE6oPXhI5ERNTsGrutJiIiehQd7UzQxckMVUoVfk+6IXQcradxkb5y5UpYWlrC399fPXN6QEAALC0tsXLlSuBuj/eyZcuaIi/RQ/m7WmDBiOqZIz+MOYcjV/KEjkRE1KzYVhMRkbYZ5189h9ivCelCR9F6Gs/ubmdnh9jYWJw/fx4XL16ESqWCp6cnOnbsqF4nKCiosXMSaeTZ3m44mXYHW5JuYNb/ncCfL/eFvRlHXBBR68C2moiItM1IXwd88Nc5nMsswJmMfHg7mtVjq9ZJ4yL9Hk9PT3h6ejZuGqJGIhKJsGRsF1y4WYRzmQV46acT2DC9F/SlvCcwEbUebKuJiEhbmBvKMKSzLbaeysRvCeks0h9A4yJdoVBgzZo12LVrF7Kzs6FUKms8v3v37sbMR9RgBjIJvn3aH2FfH0BS2h2898dZLBnbRehYRERNjm01ERFpo/H+Tth6KhNbkjIwf7gnO9DuQ+Mi/X//+x/WrFmDESNGwNvbGyKRqGmSETUCFytDfDmxK55dfQzrjqWhi5M5JvZwEToWEVGTYltNRETaqF/7NrA11cfNgnLsPpeNUB97oSNpJY2L9PXr1+OXX37B8OHDmyYRUSMb0KENXg3piE92XMC7v5+Fp50JurpYCB2LiKjJsK2u25gxY7B3714EBwfjt99+EzoOEVGrIxGLMLabE6L3XsavCeks0u9D49ndZTIZPDw8miYNUROZObAdhna2RYVCiRd/TEBmfqnQkYiImgzb6rrNnj0ba9euFToGEVGrNv7uLO97L2Qju6BM6DhaSeMi/ZVXXsEXX3wBlUrVNImImoBIJMKyJ/zQ0dYEOYXleGFtPEoqqoSORUTUJNhW1y0oKAgmJiZCxyAiatXatjGGv6sFlCpgc2KG0HG0ksZF+oEDB/Dzzz+jXbt2CAsLw9ixY2s8iLSVsb4U3z8TACsjGc5kFOCVX05CqeQJLBG1PE3VVi9ZsgQikQhz5sxp1LxxcXEICwuDg4MDRCIRtmzZUud6UVFRcHd3h1wuh7+/P/bv39+oOYiIqHk83q26N51Fet00LtLNzc0xZswYDBgwANbW1jAzM6vxINJmzpaG+GayP/QkImw7k4XP/74odCQiokbXFG318ePHsWLFCnTp8uC7ZBw8eBCVlZW1lp8/fx5ZWVl1blNcXAxfX198/fXX993vhg0bMGfOHCxYsACJiYno168fQkNDkZqaql7H398f3t7etR43btzQ6LUSEVHTGuFjD5lEjPNZhUi+USB0HK2j8cRxq1evbpokRM2ku5slFo/xwbzfTuGr3SnwsDHGKD9HoWMRETWaxm6ri4qK8NRTT+G7777DBx98cN/1lEolwsPD0b59e6xfvx4SSfWtdS5evIigoCDMnTsXr732Wq3tQkNDERoa+sAMn332GaZOnYpp06YBACIjI7Fjxw5ER0djyZIlAICEhIRHfKVERNQczAz1MLiTDWJOZ2HTiXR0cugkdCStonFPOlFLMD7AGdMHtAUAzPvtFBJTbwsdiYhIa4WHh2PEiBEYPHjwA9cTi8WIiYlBYmIipkyZAqVSicuXL2PQoEEYOXJknQV6fVRUVCAhIQEhISE1loeEhODQoUMN2ufDLF++HJ06dUL37t2bZP9ERK3dmK7VQ95/P3kDVQql0HG0Sr160rt164Zdu3bBwsICXbt2feD9Vk+cONGY+YiazGtDPXE5uxh/n7uJF9YmYPPM3nC2NBQ6FhFRgzRVW71+/XqcOHECx48fr9f6Dg4O2L17N/r3749Jkybh8OHDCA4OxjfffFPvY/5Xbm4uFAoFbG1tayy3tbW97xD6ugwdOhQnTpxAcXExnJycsHnz5vsW4eHh4QgPD0dBQQEv5yMiagIDOrSBhaEecgrLcfByHgZ0aCN0JK1RryJ91KhR0NfXBwCMHj26qTMRNQuJWITIJ/0wLvoQzmcV4rk1x7FxRm+YGeoJHY2ISGNN0VanpaXhf//7H3bu3Am5XF7v7VxcXLB27VoMGDAAbdu2xcqVKx/4pUF9/XcfKpVKo/3u2LHjkTMQEVHjkEnFCPN1wNrD17H5RDqL9H+pV5H+7rvv1vl3Il1nrC/F6ue6Y8zyQ0jJLsILP8Zj7fM9INeTCB2NiEgjTdFWJyQkIDs7G/7+/uplCoUCcXFx+Prrr1FeXq6+7vzfbt68iRdffBFhYWE4fvw45s6di6+++qrBOaytrSGRSGr1mmdnZ9fqXSciIt0xpqsj1h6+ju1ns1BUXgVjfY2nTGuReE06tXr2ZgZY83x3mOhLcezqLbzyK2/NRkQEAMHBwTh9+jSSkpLUj4CAADz11FNISkqqs0DPzc1FcHAwvLy8sGnTJuzevRu//PILXn311QbnkMlk8Pf3R2xsbI3lsbGx6N27d4P3S0REwvJzNkdbayOUVSqx/Uz9L19q6er1VYWFhUW9h5PdunXrUTMRNTtPO1N8O9kfz6w+hq2nMuFoboA3h3sJHYuIqN6aoq02MTGBt7d3jWVGRkawsrKqtRx3Z3cfNmwYXF1dsWHDBkilUnh5eeHvv/9GUFAQHB0dMXfu3FrbFRUVISUlRf3z1atXkZSUBEtLS7i4uAAAIiIiMHnyZAQEBCAwMBArVqxAamoqZsyYUa/XQkRE2kckEmFMV0csi72IzYnpGOfvJHQkrVCvIj0yMrLpkxAJrLeHNT4Z54s5G5KwIu4KHMzkeLaPu9CxiIjqRRvaarFYjCVLlqBfv36QyWTq5T4+Pvj7779hZWVV53bx8fEICgpS/xwREQEAeOaZZ7BmzRoAwIQJE5CXl4dFixYhMzMT3t7eiImJgaura5O/LiIiajqj7xbphy7nITO/FPZmBkJHEpxIpVK1qnG992Zpzc/Ph6mpqdBxWoXt27dj2LBhQseot6i9Kfh4+wWIREDUpG4I9bEXOhIRaSm2KS0fP2Mi0iW6dt59zxPfHMaxa7fw+jBPvDSwndBxmoQm7ckjXZNeWlqKgoKCGg8iXffSgHZ4upcLVCrgf+uTcDAlV+hIREQNxraaiIi03dhujgCAzYnpaGV9yHXSuEgvLi7GrFmzYGNjA2NjY1hYWNR4EOk6kUiEhSO9EepthwqFEi+sjUdi6m2hYxER1RvbaiIi0iWhPvaQScW4eLMIZ2/wy2SNi/TXXnsNu3fvRlRUFPT19fH9999j4cKFcHBwwNq1a5smJVEzu3cP9X7trVFSocCzq4/jQlah0LGIiOqFbTUREekSMwM9DPGqvqXm5sQMoeMITuMi/c8//0RUVBTGjRsHqVSKfv364a233sLixYvx888/N01KIgHoSyX45ml/dHUxR35pJSavPIq0WyVCxyIieii21UREpGvGdK0e8v570g1UKZRCxxGUxkX6rVu34O5ePeO1qamp+jYuffv2RVxcXOMnJBKQkb4Uq5/tjo62JsguLMdT3x9FdkGZ0LGIiB6IbTUREemaAR3bwNJIhtyicuxv5XNCaVykt23bFteuXQMAdOrUCb/88gtw91t7c3NzjQNERUXB3d0dcrkc/v7+2L9//33X3bt3L0QiUa3H+fPnNT4uUX2ZG8rw49QecLE0ROqtEkxZdQy3iyuEjkVEdF+N3VYTERE1NT2JGCN9HQAAm0+07iHvGhfpzz33HE6ePAkAmD9/vvp6t7lz52LevHka7WvDhg2YM2cOFixYgMTERPTr1w+hoaFITU194HYXLlxAZmam+tG+fXtNXwaRRmxM5fhpak/YmOjjfFYhnl55FPkllULHIiKqU2O21URERM3l3pD3nclZKC6vEjqOYB75PumpqamIj49Hu3bt4Ovrq9G2PXv2RLdu3RAdHa1e5uXlhdGjR2PJkiW11t+7dy+CgoJw+/btevcElJeXo7y8XP1zQUEBnJ2deb/TZqSr92usy6WbhZj43RHkFlWgi5MZfpzaE2YGekLHIiKB6Mo9tB+lrW7tdOUzJiJCCzjvVqlUCPp0L67llSBygh9G3y3aW4Jmu086ALi4uGDs2LEaN/oVFRVISEhASEhIjeUhISE4dOjQA7ft2rUr7O3tERwcjD179jxw3SVLlsDMzEz9cHZ21ign0b+1tzXBz9N6wdJIhlPp+Xhm1TEUlrFHnYi0W0PbaiIiouYkEokw0u/eBHKtd8i7xkX67Nmz8eWXX9Za/vXXX2POnDn13k9ubi4UCgVsbW1rLLe1tUVWVlad29jb22PFihXYuHEjNm3ahI4dOyI4OPiBk+DMnz8f+fn56kdaWlq9MxLVpaOdCX6a2hPmhnpISruDZ1cfR1ErHo5DRNqnsdpqIiKi5jbKr/q69LhLucgrKn/o+i2RxkX6xo0b0adPn1rLe/fujd9++03jACKRqMbPKpWq1rJ7OnbsiBdeeAHdunVDYGAgoqKiMGLECHz66af33b++vj5MTU1rPIgeVScHU/w0tSdM5VIkXL+N51cfR0kFC3Ui0g6N3VYTERE1l3ZtjOHjaAaFUoWYM3V33rZ0GhfpeXl5MDMzq7Xc1NQUubn1nyrf2toaEomkVq95dnZ2rd71B+nVqxcuXbpU7/WJGou3Y/U16Sb6Uhy7dos96kSkNRqrrSYiIhLCvd70P1rpkHeNi3QPDw9s37691vJt27ahbdu29d6PTCaDv78/YmNjayyPjY1F7969672fxMRE2Nvb13t9osbk62yOH6b2qC7Ur97C5JVHkV/Ka9SJSFiN1VYTEREJ4bEuDhCJgOPXbiP9donQcZqdVNMNIiIiMGvWLOTk5GDQoEEAgF27dmHZsmWIjIzUeF+TJ09GQEAAAgMDsWLFCqSmpmLGjBnA3evJMzIysHbtWgBAZGQk3Nzc0LlzZ1RUVOCnn37Cxo0bsXHjRk1fBlGj6eZigf97oRcmrzqKxNQ7mPTdEfw4tScsjWRCRyOiVqox22oiIqLmZmcmRy93Kxy+koc/T2bipYHthI7UrDQu0p9//nmUl5fjww8/xPvvvw8AcHNzQ3R0NKZMmaLRviZMmIC8vDwsWrQImZmZ8Pb2RkxMDFxdXQEAmZmZNe6ZXlFRgVdffRUZGRkwMDBA586dsXXrVgwfPlzTl0HUqHyczLDuhV54+vujOHujABNXHMGP03rAxkQudDQiaoUas60mIiISwig/Bxy+koffkzJaXZH+SPdJz8nJgYGBAYyNjRs3VRPi/U6bn67fr1ETKdlFeOr7I7hZUI621kb4+YWesDczEDoWETURXWhTdLGt1ia68BkTEd3Tks6780sqEfBhLCoVKmyf0w+edrr9f3CT3ie9tLQUJSXV1wW0adMGeXl5iIyMxM6dOxuemKiF8LAxxi/TA+FoboArucV44tvDSM1rfdfREJGw2FYTEZGuMzPUw8CONgCAP5JuCB2nWWlcpI8aNUp9jfidO3fQo0cPLFu2DKNGjUJ0dHRTZCTSKa5WRvhlRiBcrQyRdqsUj39zCMk3CoSORUStCNtqIiJqCe7N8v570g08wgBwnaNxkX7ixAn069cPAPDbb7/Bzs4O169fx9q1a/Hll182RUYineNoboBfpwfC084EOYXlmPDtYRy9kid0LCJqJdhWExFRSxDsaQsjmQQZd0pxIvW20HGajcZFeklJCUxMTAAAO3fuxNixYyEWi9GrVy9cv369KTIS6SQbUzk2TA9EDzdLFJZXYfKqY9hxNkvoWETUCrCtJiKilsBAJsFQbzvgbm96a9Gg+6Rv2bIFaWlp2LFjB0JCQgAA2dnZnFCF6D/MDPSwdmoPDOlki4oqJV76KQHrj6XWY0siooZjW01ERC3FKD9HAMDWU5moVCiFjtMsNC7S33nnHbz66qtwc3NDz549ERgYCNz9pr5r165NkZFIp8n1JIh+qhueCHCCUgW8sek0vt59qVVdV0NEzYttNRERtRR92lnBykiGvOIKHEzJFTpOs9C4SB83bhxSU1MRHx+P7du3q5cHBwfj888/b+x8RC2CVCLGR493QXhQ9T0eP915EQu2nEFVK/k2kIiaF9tqIiJqKaQSMR7rYg+0oiHv0oZsZGdnBzs7uxrLevTo0ViZiFokkUiEeUM9YW2sj0V/JeP/jqYi/XYplk/qChO5ntDxiKiFYVtNREQtxUg/R/xw+Dp2nM1CaYUCBjKJ0JGalMY96UT0aJ7r445vnvaHXE+MuIs5GP/NYdy4Uyp0LCIiIiIirdTNxRxOFgYoqVDg73M3hY7T5FikEwlgaGc7/DI9EG1M9HE+qxCjlx/E6fR8oWMREREREWkdkUj0r3umZwgdp8mxSCcSSBcnc2ye2RsdbU2QXViOJ749jNjklv/NIBERERGRpu7N8r7vYg7ySyqFjtOkWKQTCcjJwhC/vhSIfu2tUVqpwIs/xuObfZc58zsRERER0b90sDVBR1sTVCpU2JGcJXScJsUinUhgpnI9rHq2Oyb1dIFKBSzddh7/W5+E0gqF0NGIiIiIiLTGvVne/zzZsmd5Z5FOpAX0JGJ8ONob74/qDKlYhD9O3sD4bw8hgxPKEREREREBAB7zrb4u/dDlPOQVlQsdp8mwSCfSEiKRCJMD3fDTtJ6wNJLhTEYBRn19AMeu3hI6GhERERGR4NytjeDtaAqFUoXtZ1vukHcW6URapldbK/wxqw+87E2RW1SBSd8dwc9Hrwsdi4iIiIhIcGFdqnvTW/KQdxbpRFrIycIQG18KxIgu9qhSqrBg8xm8/tsplFXyOnUiIiIiar1G3L0u/ejVW8guKBM6TpNgkU6kpQxlUnw9sSvmDe0IkQjYEJ+GsVGHcD2vWOhoRERERESCcLIwRDcXc6hUwNbTmULHaRIs0om0mEgkQniQB9Y+3wOWRjIkZxbgsa8OYEcLvgaHiIiIiOhBHrs75P2vUyzSiUgg/dq3wdbZfeHvaoHCsipM/zEBi2POoVKhFDoaEREREVGzGtHFHiIRkHD9dou8GxKLdCIdYW9mgPUv9sK0vu4AgBVxVzDpuyO42UKvxSEiamxjxoyBhYUFxo0bJ3QUIiJ6BLamcvRwswQAbD3V8iaQY5FOpEP0JGK89VgnfPN0N5joS3H82m2EfrEfu87dFDoaEZHWmz17NtauXSt0DCIiagRhvvdmeW95Q95ZpBPpoGHe9vjz5b7oZG+KW8UVmPpDPN774yxnfycieoCgoCCYmJgIHYOIiBpBqLcdJGIRTmfk41puy5pYWfAiPSoqCu7u7pDL5fD398f+/fvrtd3BgwchlUrh5+fX5BmJtJGbtRE2h/fG1LvD39ccuobRyw/i4s1CoaMRUQsSHR2NLl26wNTUFKampggMDMS2bdsa9RhxcXEICwuDg4MDRCIRtmzZUud6DT1nICKilsfKWB+921kBaHmzvAtapG/YsAFz5szBggULkJiYiH79+iE0NBSpqakP3C4/Px9TpkxBcHBws2Ul0kb6UgnefqwT1jzXHdbGMpzPKkTYVwfw45HrUKlUQscjohbAyckJS5cuRXx8POLj4zFo0CCMGjUKZ8+erXP9gwcPorKystby8+fPIyur7jtTFBcXw9fXF19//fV9c9TnnMHf3x/e3t61HjdutLzrFYmICAjrcm/Ie8v6f17QIv2zzz7D1KlTMW3aNHh5eSEyMhLOzs6Ijo5+4HbTp0/HpEmTEBgY2GxZibTZwI422Pa//ujfoQ3Kq5R4e8sZTP8xAbeKK4SORkQ6LiwsDMOHD0eHDh3QoUMHfPjhhzA2NsaRI0dqratUKhEeHo5JkyZBofjn8puLFy8iKCjovteDh4aG4oMPPsDYsWPvm6M+5wwJCQk4c+ZMrYeDg4PGr3v58uXo1KkTunfvrvG2RETUPIZ2toOeRITzWYW41IJGkwpWpFdUVCAhIQEhISE1loeEhODQoUP33W716tW4fPky3n333Xodp7y8HAUFBTUeRC1RGxN9rHm2O94a4QU9iQg7k28i5PN9iE3mpHJE1DgUCgXWr1+P4uLiOr8oF4vFiImJQWJiIqZMmQKlUonLly9j0KBBGDlyJF577bUGHbeh5wyPIjw8HMnJyTh+/HiT7J+IiB6dmaEe+rdvAwD4swXdM12wIj03NxcKhQK2trY1ltva2t53ONylS5fwxhtv4Oeff4ZUKq3XcZYsWQIzMzP1w9nZuVHyE2kjsViEaf3aYvPMPuhga4zcogq8sDYer/xyEvmltYefEhHVx+nTp2FsbAx9fX3MmDEDmzdvRqdOnepc18HBAbt378bBgwcxadIkDBo0CMHBwfjmm28afPyGnDPUZejQoRg/fjxiYmLg5OTEApyIqAV4zNceAPDXqRst5nJPwSeOE4lENX5WqVS1luHut/eTJk3CwoUL0aFDh3rvf/78+cjPz1c/0tLSGiU3kTbzdjTDH7P6YvqAthCJgI0n0jEsMg5xF3OEjkZEOqhjx45ISkrCkSNH8NJLL+GZZ55BcnLyfdd3cXHB2rVrsWHDBkilUqxcubLOtl1T9T1nuJ8dO3YgJycHJSUlSE9P51B2IqIWYLCXLfSlYlzJKUZyZssYNS1YkW5tbQ2JRFLrG/Ds7Oxa35QDQGFhIeLj4zFr1ixIpVJIpVIsWrQIJ0+ehFQqxe7du+s8jr6+vnpG2nsPotZArifB/FAv/DYjEG5WhsjML8OUVcewYPNpFJdXCR2PiHSITCaDh4cHAgICsGTJEvj6+uKLL7647/o3b97Eiy++iLCwMJSUlGDu3LmPdHxNzxmIiKj1MJHrIaijDQDgrxYy5F2wIl0mk8Hf3x+xsbE1lsfGxqJ379611jc1NcXp06eRlJSkfsyYMUP97X7Pnj2bMT2R7vB3tUTM//rhmUBXAMDPR1Mx7Is47L/EXnUiahiVSoXy8vI6n8vNzUVwcDC8vLywadMm7N69G7/88gteffXVBh9P03MGIiJqXcJ8/5nlvSUMea/fhd1NJCIiApMnT0ZAQAACAwOxYsUKpKamYsaMGcDdoeoZGRlYu3YtxGIxvL29a2xvY2MDuVxeazkR1WQok2LhKG+EdLbDa7+dQtqtUkxeeQyPd3PCWyO8YGEkEzoiEWmpN998E6GhoXB2dkZhYSHWr1+PvXv3Yvv27bXWVSqVGDZsGFxdXdVD3b28vPD3338jKCgIjo6OdfaqFxUVISUlRf3z1atXkZSUBEtLS7i4uAD1OGcgIqLWa5CnDQxlEqTfLsXJ9Hz4OZsLHemRCFqkT5gwAXl5eVi0aBEyMzPh7e2NmJgYuLpW9/hlZmY+9J7pRFR/fTyssWNuf3y64wJ+OHwNG0+kY++FbLw7sjPCutg3yjWjRNSy3Lx5E5MnT0ZmZibMzMzQpUsXbN++HUOGDKm1rlgsxpIlS9CvXz/IZP98+efj44O///4bVlZWdR4jPj4eQUFB6p8jIiIAAM888wzWrFkD1OOcgYiIWi8DmQSDvWzxx8kb+OvkDZ0v0kWqljAeQAMFBQUwMzNDfn4+r09vJtu3b8ewYcOEjkH/cSL1Nt7YeAoXbxYBAII6tsEHY3zgaG4gdDQincE2peXjZ0xEuqQ1n3fvPJuFF39MgL2ZHAdfHwSxWLs6nzRpTwSf3Z2IhNHNxQJ/vdwPEUM6QCYRY8+FHAz5bB9WH7yKKoVS6HhERERERPXWv0MbGOtLkZlfhsS0O0LHeSQs0olaMZlUjNnB7RHzv74IcLVASYUCC/9MxsivDyLh+i2h4xERERER1YtcT4LBXtWzvG/V8VneWaQTETxsTPDL9EB8OMYbZgZ6SM4swOPRhzHv15PILap7BmciIiIiIm0y3MceALDtTCaUSt29qptFOhEBAMRiEZ7q6YrdrwzAhABnAMCvCekY9Ole/HjkOhQ6/B8dEREREbV8LWXIO4t0IqrBylgfH43rgo0v9UZnB1MUlFXh7S1nMGr5AZxIvS10PCIiIiKiOv17yHvMad0d8s4inYjq5O9qgT9m9cWiUZ1hIpfiTEYBxkYdwv/WJ+LGnVKh4xERERER1aIe8n5ad4e8s0gnovuSiEWYEuiGPa8OxHh/J4hEwO9JNxD06V4s23kBxeVVQkckIiIiIlK7N+T9hg4PeWeRTkQPZW2sj0/G++LPWX3Rw90S5VVKfLU7BUGf7sUv8Wk6+y0lEREREbUsLWHIO4t0Iqo3b0czbHixF755uhtcLA2RXViO1347hbCvD+DIlTyh4xERERER6fyQdxbpRKQRkUiEYd72iI3ojzeHe8JEX4qzNwrw5IojmLrmOM5lFggdkYiIiIhasX8PeU9K170h7yzSiahB9KUSvNi/HfbOG4ine7lAIhZh1/lsDP9yP+ZuSELarRKhIxIRERFRKyTXkyD47pD3rad0b8g7i3QieiRWxvr4YLQPYuf2x4gu9lCpgM2JGRi0bC/e/f0McgrLhY5IRERERK3MCB0e8s4inYgaRds2xlg+qRv+nNUX/dpbo1Khwg+Hr2PAJ3vw2c4LKCirFDoiEREREbUSujzknUU6ETUqHycz/Di1J/5vWk/4OpujpEKBL3enoP/He7B8TwoKWawTERERURP795D3GB0b8s4inYiaRG8Pa2yZ2RvfPO2Pdm2McKekEp/suIB+LNaJiIiIqBncm+U95nQmVCrdGfLOIp2Imkz1TPB22Dl3AL540g9tWawTERERUTMZ0KENjGQS3MgvQ2Ka7gx5Z5FORE1OIhZhlJ8jYlmsExEREVEzketJMLiTLaBjQ95ZpBNRs3lQsd5n6W58uuMCcos4GzwRERERNY57Q963ncnSmSHvLNKJqNn9t1hv18YIBWVV+HpPCvos3Y13fj/D+6wTERER0SO7N+Q9404pknRkyDuLdCISzL+L9W+e9oevkxnKq5RYe/g6Bn66F3PWJ+J8VoHQMYmIiIhIR1XP8n53yPtp3RjyLhU6ABGRWFw9wdzQzrY4fCUP0XsvY/+lXGxJuoEtSTcwyNMG0/u3RQ93S4hEIqHjEhHVolAoUFnJuTV0iZ6eHiQSidAxiKgZjOhijz9O3kDM6Sy8OdxL688nWaQTkdYQiUTo3c4avdtZ40xGPqL3XkbMmUzsPp+N3eez4e1oiql93THCxwEyKQcCEZHwVCoVsrKycOeObgyhpJrMzc1hZ2en9SfsRPRo/jvkvauLhdCRHohFOhFpJW9HMyx/qhuu5hZjRdwVbDqRjjMZBZi74SSWxJzHlEBXTOrpCksjmdBRiagVu1eg29jYwNDQkMWejlCpVCgpKUF2djYAwN7eXuhIRNSE7g15r+5Nz2SRTkT0KNytjbBkrA/mDe2I/zt6HWsPX0d2YTk+3XkRX+1OwdhuTni+jxva25oIHZWIWhmFQqEu0K2srISOQxoyMDAAAGRnZ8PGxoZD34lauOE+ujPkXfDxolFRUXB3d4dcLoe/vz/2799/33UPHDiAPn36wMrKCgYGBvD09MTnn3/erHmJSBiWRjLMGtQeB14fhM8n+MLb0RTlVUqsO5aKIZ/HYcqqY/g7+SYUSt24tQYR6b5716AbGhoKHYUa6N5nx/kEiFq+gR3/GfJ+Mj1f6DgPJGhP+oYNGzBnzhxERUWhT58++PbbbxEaGork5GS4uLjUWt/IyAizZs1Cly5dYGRkhAMHDmD69OkwMjLCiy++KMhrIKLmJZOKMaarE0b7OeL4tdtYeeAKdibfRNzFHMRdzIGjuQEm9XTBhO7OsDbWFzouEbUC2twbQw/Gz46o9fj3kPetp27Az9lc6Ej3JWhP+meffYapU6di2rRp8PLyQmRkJJydnREdHV3n+l27dsXEiRPRuXNnuLm54emnn8bQoUMf2PtORC2TSCRCD3dLfDs5APteDcKL/dvC3FAPGXdK8cmOCwhcsguz1yXi2NVbUKnYu05ERETU2g33qZ5/IuZ0llafHwpWpFdUVCAhIQEhISE1loeEhODQoUP12kdiYiIOHTqEAQMG3Hed8vJyFBQU1HgQUcviYmWIN4d74cj8YHw63hd+zuaoVKjwx8kbeOLbwxgWuR8/HrmOovIqoaMSERERkUAGdmwDw7tD3k9p8ZB3wYr03NxcKBQK2Nra1lhua2uLrKysB27r5OQEfX19BAQEIDw8HNOmTbvvukuWLIGZmZn64ezs3GivgYi0i1xPgnH+TtgS3gd/vdwXT3Z3hlxPjAs3C/H2ljPo8eHfeO23k0i4zt51IiIiotZGridBkKcNAGDbmQfXnEISfOK4/14LpFKpHnp90P79+xEfH49vvvkGkZGRWLdu3X3XnT9/PvLz89WPtLS0RstORNrL29EMSx/vgqNvDsY7j3VC2zZGKKlQ4Jf4dDwefRhDPo/DirjLyC0qFzoqERERETWTUG87AMD2M5la22kj2MRx1tbWkEgktXrNs7Oza/Wu/5e7uzsAwMfHBzdv3sR7772HiRMn1rmuvr4+9PU5eRRRa2VmoIfn+7rjuT5uOH7tNn6JT8PWU5lIyS7C4pjz+Hj7BQR72eCJAGcM6NAGUong310SEbV4np6eePXVVx84GpKIqCkEdbSBvlSMa3klOJdZiE4OpkJHqkWws1GZTAZ/f3/ExsbWWB4bG4vevXvXez8qlQrl5ewJI6IHuzfR3KfjfXFsQTCWjPWBn7M5qpQq7Dh7E1N/iEefj3bj4+3nkZJdJHRcIqIWq7S0FCkpKfD19RU6ChG1Qkb6Ugzo0Aa425uujQS9BVtERAQmT56MgIAABAYGYsWKFUhNTcWMGTOAu0PVMzIysHbtWgDA8uXL4eLiAk9PT+DufdM//fRTvPzyy0K+DCLSMSZyPUzs4YKJPVxw8WYhfjmehk2JGbhZUI6ovZcRtfcyfBzNMKarI8J8HdDGhKNxiIgay5kzZ6BSqeDt7S10FCJqpUJ97LAz+Sa2nclCREhHoePUIui4zgkTJiAyMhKLFi2Cn58f4uLiEBMTA1dXVwBAZmYmUlNT1esrlUrMnz8ffn5+CAgIwFdffYWlS5di0aJFAr4KItJlHWxN8NZjnXBkfjCin+qGwV42kIpFOJ2Rj0V/JaPXkl14ZtUx/J6UgZIKzg5PRC3HrFmz0Ldv3zqfc3Nzw4cfftiox0tKSsKgQYPQt29fKJVKuLi44PPPP2/UYxAR1Uewly30JCJcyi5CSnah0HFqEbQnHQBmzpyJmTNn1vncmjVravz88ssvs9eciJqETCpGqI89Qn3scau4An+duoHNiRlITL2DfRdzsO9iDoxkEgz1tsOYro7o3c4aEvGDJ7kkItJWycnJiI6ORlxcXJ3Pe3l5ISkpqdbyxYsXY/HixQ/c97Zt29CvX78ayy5fvowBAwZg3rx5sLKyglKpRPfu3REREYF+/fohICDgEV8REVH9mcr10NfDGnsu5GDb6Sy8HGwidKQaBC/SiYi0jaWRDFMC3TAl0A3XcouxOTEDW5IycD2vBJtOZGDTiQxYG+tjuI8dHuvigABXC4hZsBPRv+zfvx/FxcXNciwjI6NaRfHDfPLJJ+jevTv69OlT5/OWlpZ13hFnxowZeOKJJx64b0dHxzq3Gzt2LN566y307NkT48ePR0REBD766CPs37+fRToRNbtQb/vqIv1MFl4Obi90nBpYpBMRPYCbtRHmDumAOYPb40TqHWxJzMCfp24gt6gcaw9fx9rD12Frqo9Qb3uE+dqjqzMLdiKCxkVzc6qqqsLGjRvx9ttvq5dNnz4dPXr0wNSpUwEAhYWFMDIyqrWtpaUlLC0tNTpeVlYWdu/ejUOHDkGhUOD06dNYvHgxxGIxpFIpZDJZI7wqIiLNDOlkC8lmEZIzC3A9rxiuVrX/zxMK7zVERFQPIpEI/q4WeH+0N44vGIw1z3XHOH8nmMiluFlQjjWHruHx6MPo+9FufPBXMhJTb2vtvTeJqHW7fPkyCgsL4ePjA9yd8+fXX3+FsbGxep1Tp07By8ur1raLFy+GsbHxAx/79++vsc2RI0egVCrh5+eH8+fPo7S0FH5+fkhLS0Nubu59e/OJiJqShZEMgW2tAADbzmQ9dP3mxJ50IiIN6UnEGNjRBgM72uDDMd44cCkXW09lYmfyTdzIL8P3B67i+wNX4WhugFBvOwz1tkM3Fwtew05EWuHOnTsAoC7Kd+zYgdu3b6t7tI8dO4br169j9OjRtbZtyHD3iooKAEBZWRmSkpLg5OQEKysrfP755+jUqRP8/Pwa7bUREWlimLcdDqTkYtvpTMwY0E7oOGos0omIHoG+VIJgL1sEe9mirFKBuIs5+OtUJv4+dxMZd0rVBbu1sQyDvWwxtLMdentYQV8qETo6EbVSrq6uEIlEWLduHYyMjPDKK69g+PDh+P333+Hm5obp06dj0KBB6N+/f61tGzLcvVevXpBKpVi0aBGKiorQrl07REVF4fPPP8eePXsa8ZUREWlmaGc7vP37GZxMz0fGnVI4mhsIHQlgkU5E1HjkehKEdLZDSGc7lFUqsPdCNnacvYld524it6gC64+nYf3xNBjJJBjoaYOhne0wsGMbmMr1hI5ORK2InZ0dPvzwQyxduhQbN27EBx98gB49emDUqFH49ddfERYWhqioqEY7nouLC1atWoXXX38dmZmZkEqlKCkpQUxMDHr06NFoxyEi0lQbE310d7PEsau3sP1MFqb2dRc6EsAinYioacj1JBjmbY9h3vaoVChx9Mot7DibhZ3JWbhZUI6tpzKx9VQm9CQi9G5njZDOtgj2tIWdmVzo6ETUCsyfPx/z58+vsezq1atNdrzJkydj8uTJsLS0xKpVq+ocSk9EJIRQbzscu3oL205nskgnImot9CRi9G1vjb7trbFwZGecysjHjrNZ2HE2C1dyitX3YV+AM+hkb4pBnjYI8rSBn7M5r2MnohYjPT0dt2/fVk9YR0SkDYZ522Hhn8lISL2N7IIy2JgK32HCIp2IqBmJxSL4OZvDz9kcrw/zREp2EXaczUJs8k2cTL+D5MwCJGcW4Os9KbA0kmFAhzYI8rTBgPZtYGbIYfFEpLtOnz4NIyMjtG3bVugoRERq9mYG6OpijsTUO9hxNguTA92EjsQinYhISB42xvCw8UB4kAfyisqx90IOdl/IRtzFHNwqrsDmxAxsTsyARCyCv4sFBnnZYJCnDdrbGEMkYi87EemO0NBQFBUVCR2DiKiWUG87JKbeQcxpFulERPQvVsb6eNzfCY/7O6FSoUTC9dvYcz4bu89n41J2EY5du4Vj125h6bbzsDeTo197a/Rr3wZ9PKxhaSQTOj4RERGRTgr1tsfimPM4ejUPeUXlsDLWFzQPi3QiIi2kJxGjV1sr9GprhfnDvZB2qwR7LlQX7Icv5yEzvwy/xKfjl/h0iESAt4OZumj3d7WATCoW+iUQERER6QRnS0N4O5riTEYBdibfxMQeLoLmYZFORKQDnC0NMSXQDVMC3VBWqcDxa7ew/1Iu4i7m4HxWIU5n5ON0Rj6i9l6GoUyCXm2t1EV7uzZGHBpPRERE9ACh3vY4k1GAbWeyWKQTEZFm5HoS9GvfBv3at8Gbw72QXVCGAym52H+p+pFbVI7dd4fJA4CdqRyB7awQ2NYKge2s4GxpKPRLICIiItIqod52+GTHBRxKyUV+SaWgE/aySCci0nE2pnKM7eaEsd2coFSqcD6rEAdScrD/Ui6OXr2FrIIy9QR0AOBoboDAdlbo3a66aLc3MxD6JRAREREJqm0bY3S0NcGFm4WIPXcT4/ydBMvCIp2IqAURi0Xo5GCKTg6meLF/O5RVKnDi+m0cupyHw1fycDLtDjLulOK3hHT8lpAOAHCzMkRgu+rr3wPbWcHGRPj7gxIRERE1t2HedrhwsxDbz2SySCcioqYh15Ogt4c1entYAwCKy6sQf/02Dt8t2k+n38G1vBJcyyvBumNpAIC2bYzQ3dUS3d0t0d3NAi6WhrymnYiIiFq84T72+GLXJcRdykVhWSVM5MIMeWeRTkTUihjpSzGgQxsM6NAGAFBQVonjV2+pi/bkzAJcySnGlZxibIivLtptTPTR3a26YA9ws4SXvSkkYhbtRERE1LJ0sDVGW2sjXMktxu7z2Rjl5yhIDhbpREStmKlcD8Fetgj2sgUA3CmpQML12zh27Rbir93GqfQ7yC4sx9bTmdh6OhMAYKwvRTdXC/S4W7T7OZtDricR+JUQERERPRqRSIRh3naI2nsZ289ksUgnIiLhmRvKahTtZZUKnEy7g+PXbuH4tdtIuH4bReVViLuYg7iLOQAAPYkInR3M0M3FAl1dzNHVxRyO5gYcIk9EREQ6Z7iPPaL2XsaeC9koqaiCoaz5S2YW6UREdF9yPQl6trVCz7ZWAACFUoXzWQU4fvUWjl+/jeNXbyG7sBxJaXeQlHYHOFi9XRsTfXR1NkfXu4V7FyczQRo5on8bM2YM9u7di+DgYPz2229Cx9EqFRUVkMlkQscgIhJcZwdTOFkYIP12KfZdyEGoj32zZxA3+xGJiEhnScTVvebP9nHH8kndcPTNYOybNxCRE/zwTKArujiZQSoWIaewHDuTb+Kj7efx5Ioj8HlvJ4Z/sR8LNp/GbwnpuJxTBKVSJfTLoVZm9uzZWLt2bZMeQ6VSoaSiqtkfKpVmv08DBw7ErFmzEBERAWtrawwZMgTJyckYPnw4jI2NYWtri8mTJyM3N1e9zW+//QYfHx8YGBjAysoKgwcPRnFxMQDg2WefxejRo7Fw4ULY2NjA1NQU06dPR0VFhXr78vJyzJ49GzY2NpDL5ejbty+OHz+ufn7v3r0QiUTYtWsXAgICYGhoiN69e+PChQvqdU6ePImgoCCYmJjA1NQU/v7+iI+PVz9/6NAh9O/fHwYGBnB2dsbs2bPVGYmI6kMkEiHU2w4AsO1MliAZ2K1BREQNJhKJ4GplBFcrI4zuWn3dVlmlAmcy8pGYegeJabeRmHoHmfllSM4sQHJmAX4+mgoAMDPQQxcnM3g7mqGLoxl8nMw4TJ6aVFBQEPbu3dukxyitVKDTOzua9Bh1SV40VOPRKj/88ANeeuklHDx4ELdu3cKAAQPwwgsv4LPPPkNpaSlef/11PPHEE9i9ezcyMzMxceJEfPzxxxgzZgwKCwuxf//+Gl8O7Nq1C3K5HHv27MG1a9fw3HPPwdraGh9++CEA4LXXXsPGjRvxww8/wNXVFR9//DGGDh2KlJQUWFpaqvezYMECLFu2DG3atMGMGTPw/PPP4+DB6mE6Tz31FLp27Yro6GhIJBIkJSVBT6969uXTp09j6NCheP/997Fy5Urk5ORg1qxZmDVrFlavXt1I7zQRtQahPvb4bv9V7Dp3E2WVimafe4dFOhERNSq5ngQBbpYIcPvnpDszvxRJqXeQmHYHiam3cSo9H/mlldh/KRf7L/3TU2dpJIOPo1n1w8kMXZzMYGcqZ+EuoCVLlmDTpk04f/48DAwM0Lt3b3z00Ufo2LFjox0jLi4On3zyCRISEpCZmYnNmzdj9OjRtdaLiorCJ598gszMTHTu3BmRkZHo169fo+VobTw8PPDxxx8DAN555x1069YNixcvVj+/atUqODs74+LFiygqKkJVVRXGjh0LV1dXAICPj0+N/clkMqxatQqGhobo3LkzFi1ahHnz5uH9999HaWkpoqOjsWbNGoSGhgIAvvvuO8TGxmLlypWYN2+eej8ffvghBgwYAAB44403MGLECJSVlUEulyM1NRXz5s2Dp6cnAKB9+/bq7T755BNMmjQJc+bMUT/35ZdfYsCAAYiOjoZcLm/Cd5OIWhI/J3PYmcqRVVCGA5dyMbiTbbMeX/AiXZMGd9OmTYiOjkZSUhLKy8vRuXNnvPfeexg6dGiz5yYiovqzNzOAvY+B+rquSoUS5zMLcTojH6cz7uBUej4uZBXiVnEF9l3Mwb67k9IBgLWxPro4mamL9y5OZrAx5cl2c9m3bx/Cw8PRvXt3VFVVYcGCBQgJCUFycjKMjIxqrX/w4EH06NFD3bt5z/nz52Fubg47O7ta2xQXF8PX1xfPPfccHn/88TpzbNiwAXPmzEFUVBT69OmDb7/9FqGhoUhOToaLiwsAwN/fH+Xl5bW23blzJxwcHB7hXag/Az0Jkhc1/3mJQQN6eQICAtR/T0hIwJ49e2BsbFxrvcuXLyMkJATBwcHw8fHB0KFDERISgnHjxsHCwkK9nq+vLwwNDdU/BwYGoqioCGlpacjPz0dlZSX69Omjfl5PTw89evTAuXPnahyvS5cu6r/b21f/n5GdnQ0XFxdERERg2rRp+PHHHzF48GCMHz8e7dq1U7+GlJQU/Pzzz+rtVSoVlEolrl69Ci8vL43fIyJqncTi6lne1xy6hm1nslpXkV6fBvff4uLiMGTIECxevBjm5uZYvXo1wsLCcPToUXTt2lWQ10BERJrTk4jh41TdWw5U/39fVqnAhaxCnMrIx+n06sL9UnYRcovKsft8Nnafz1Zv38ZEH53sTdHJwVT9p5uVEe/f3gS2b99e4+fVq1fDxsYGCQkJ6N+/f43nlEolwsPD0b59e6xfvx4SSXXhePHiRQQFBWHu3Ll47bXXah0jNDRU3bt6P5999hmmTp2KadOmAQAiIyOxY8cOREdHY8mSJcDdIk1oIpFIZyZJ/PeXLEqlEmFhYfjoo49qrWdvbw+JRILY2FgcOnQIO3fuxFdffYUFCxbg6NGjcHd3f+BxRCKRelj8f0fFqFSqWsv+/QXPveeUSiUA4L333sOkSZOwdetWbNu2De+++y7Wr1+PMWPGQKlUYvr06Zg9e3atDHWdVxIRPUjo3SI9NjkLlQof6Emabzo3QVuR+jS4/xYZGVnj58WLF+P333/Hn3/+ySKdiEjHyfUk8HU2h6+zOYDq4bSlFQokZxbgdPodnM4owOmMO0jJLkJOYTn2FdbscTfQk8DT3qRG8e5pZwoDGe/h3pjy8/MBoMY1xPeIxWLExMSgf//+mDJlCn788UdcvXoVgwYNwsiRI+ss0OujoqICCQkJeOONN2osDwkJwaFDhxr4Sh5s+fLlWL58ORQKRZPsX9t069YNGzduhJubG6TSuk8PRSIR+vTpgz59+uCdd96Bq6srNm/ejIiICODupG6lpaUwMDAAABw5cgTGxsZwcnKClZUVZDIZDhw4gEmTJgEAKisrER8frx6eXl8dOnRAhw4dMHfuXEycOBGrV6/GmDFj0K1bN5w9exYeHh6P/H4QEQW4WcLaWIbcogocvpyH/h3aNNuxBSvSG6PBVSqVKCwsrPNE4Z7y8vIaQ98KCgoeITURETUnA5kE/q4W8Hf9Z0htSUUVzmcVIvlG9UR0yTcKcD6rAKWViurJ6lLvqNcViwA3a6Oave72pmhjos/r3BtApVIhIiICffv2hbe3d53rODg4YPfu3ejfvz8mTZqEw4cPIzg4GN98802Dj5ubmwuFQgFb25rDDW1tbZGVVf+Zd4cOHYoTJ06guLgYTk5O2Lx5M7p3717nuuHh4QgPD0dBQQHMzMwanF1XhIeH47vvvsPEiRMxb948WFtbIyUlBevXr8d3332H+Ph47Nq1CyEhIbCxscHRo0eRk5NTYwh5RUUFpk6dirfeegvXr1/Hu+++i1mzZkEsFsPIyAgvvfQS5s2bB0tLS7i4uODjjz9GSUkJpk6dWq+MpaWlmDdvHsaNGwd3d3ekp6fj+PHj6kskXn/9dfTq1Qvh4eF44YUXYGRkhHPnziE2NhZfffVVk713RNQyScQiDOlkh3XHUrH9bFbrKNIbo8FdtmwZiouL8cQTT9x3nSVLlmDhwoWPnJeIiLSDoUyKbi4W6ObyT+GuUKpwNbdYXbRX/5mP3KIKXMkpxpWcYvx1KlO9vpWRDBEhHfBUT1eBXoVumjVrFk6dOoUDBw48cD0XFxesXbsWAwYMQNu2bbFy5cpG+VKkPkOlH2THjuafdV1XODg44ODBg3j99dcxdOhQlJeXw9XVFcOGDYNYLIapqSni4uIQGRmJgoICuLq6YtmyZTUuUwgODkb79u3Rv39/lJeX48knn8R7772nfn7p0qVQKpWYPHkyCgsLERAQgB07dtS4rv1BJBIJ8vLyMGXKFNy8eRPW1tYYO3as+jyvS5cu2LdvHxYsWIB+/fpBpVKhXbt2mDBhQhO8Y0TUGoR6VxfpO89m4f1R3s12WZ3gF001tMFdt24d3nvvPfz++++wsbG573rz589XD8PC3Z50Z2fnR0xNRETaRCIWwcPGGB42xhjp+88EYdmFZUi+UYBzmYVIzizA2Rv5uJZbjLziChhyGLxGXn75Zfzxxx+Ii4uDk5PTA9e9efMmXnzxRYSFheH48eOYO3fuI/VkWltbQyKR1PoSPzs7u9aX/VQ/dd2Krn379ti0aVOd63t5edWan6AuCxcuvG/niFwux5dffokvv/yyzucHDhxY637vfn5+NZatW7fugcfv3r07du7c+dCcRET10autFUzlUtwuqcSFrEJ0cjBtluMKVqQ/SoO7YcMGTJ06Fb/++isGDx78wHX19fWhr6/fKJmJiEi32JjIYdNRjoEd//kyt7RCgUvZhXCyMHzgtlRNpVLh5ZdfxubNm7F3796HThKWm5uL4OBgeHl54ddff8WlS5cwcOBA6Ovr49NPP21QBplMBn9/f8TGxmLMmDHq5bGxsRg1alSD9klERPQwMqkYK6YEoIOtCSyNZM12XMGK9IY2uOvWrcPzzz+PdevWYcSIEc2UloiIWgoDmQRdnMyFjqEzwsPD8X//93/4/fffYWJiov5y3czMTD1B2D1KpRLDhg2Dq6srNmzYAKlUCi8vL/z9998ICgqCo6Mj5s6dW+sYRUVFSElJUf989epVJCUlqa9dBoCIiAhMnjwZAQEBCAwMxIoVK5CamooZM2Y0+XtAREStV6+2Vs1+TEGHuz+swZ0/fz4yMjKwdu1a4G6BPmXKFHzxxRfo1auX+kTBwMCgVUzqQkRE1Nyio6OBu0OR/2316tV49tlnaywTi8VYsmQJ+vXrB5nsnx4HHx8f/P3337CyqvtEJz4+HkFBQeqf712m9swzz2DNmjUAgAkTJiAvLw+LFi1CZmYmvL29ERMTA1dXziugDe59TkRE9OgELdIf1uBmZmYiNTVVvf63336Lqqoq9Yyr9/y7ESciIqLG899rhB9myJAhdS738/O77zZ1XYtcl5kzZ2LmzJka5WkOmr5HpD342RGRNhJ84rgHNbj/LbzrmuSEiIiISAh6enoAgJKSklpD/0k3lJSUAP/6LImItIHgRToRERGRLpJIJDA3N0d2djYAwNDQsFFuNUdNT6VSoaSkBNnZ2TA3N4dEwrs9EJH2YJFORERE1EB2dnbA3bvTkO4xNzdXf4ZERNqCRToRERFRA4lEItjb28PGxgaVlZVCxyEN6OnpsQediLQSi3QiIiKiRySRSFjwERFRoxALHYCIiIiIiIiIqrFIJyIiIiIiItISLNKJiIiIiIiItESruyZdpVIBAAoKCoSO0moUFxfz/SaiFune/2332hZqeXjeQES6hOfd2kuTc4ZWV6QXFhYCAJydnYWOQkRELURhYSHMzMyEjkFNgOcNRETUmOpzziBStbKv/5VKJW7cuAETExOIRKJH2ldBQQGcnZ2RlpYGU1PTRsvYkvA9qh++Tw/H96h++D49XGO+RyqVCoWFhXBwcIBYzCvIWqKHnTd0794dx48fr9e+6rvuw9Z70POaPKet/19o8p4213413VbIz7qu5a3ps37UfWrb7/SDnufvtG79TqtUKvj7++PixYsPPWdodT3pYrEYTk5OjbpPU1NTrfpF0EZ8j+qH79PD8T2qH75PD9dY7xF70Fu2h503SCSSev87qu+6D1vvQc835Dlt+/9Ck/e0ufar6bZCftYP2qY1fNaPuk9t+51+0PP8nda932mZTFavL/X5tT8RERFRA4WHhzf6ug9b70HPN/Q5bdJUOR9lv5puK+RnrSufM5oo66PuU9t+px/0vK581vyd1nw/rW64e2MqKCiAmZkZ8vPzterbKm3C96h++D49HN+j+uH79HB8j4iq8Xeh9eBn3Trwc2452JP+CPT19fHuu+9CX19f6Chai+9R/fB9eji+R/XD9+nh+B4RVePvQuvBz7p14OfccrAnnYiIiIiIiEhLsCediIiIiIiISEuwSCciIiIiIiLSEizSiYiIiIiIiLQEi3QiIiIiIiIiLcEinYiIiIiIiEhLsEhvoKioKLi7u0Mul8Pf3x/79+8XOpJWiYuLQ1hYGBwcHCASibBlyxahI2mdJUuWoHv37jAxMYGNjQ1Gjx6NCxcuCB1L60RHR6NLly4wNTWFqakpAgMDsW3bNqFjabUlS5ZA9P/t3XtQVOUfBvBnZV1CIHVRLgliBpmogGEahon3IQN1zEpNpUAjRVLykrdq8IpFiDlRkqE0FU6NF1JTKcQKkwBjhtSK0kKRIrERIYOA9/eP7o+VvZyFhXOA5zOzM509Z8/7nPNtwJdzzndVKixZskTuKIry2muvQaVS6b1cXV3ljkXULly6dAnBwcHw8fGBr68vPvnkE7kjUSuZNm0aevbsiSeeeELuKGRlhw4dwoABA+Dt7Y333ntP7jhkAifpzbB3714sWbIEa9aswffff49Ro0YhJCQEJSUlckdTjOrqavj5+WHHjh1yR1GskydPYtGiRTh9+jQyMzNRV1eHiRMnorq6Wu5oiuLu7o4tW7YgPz8f+fn5GDt2LKZMmYKzZ8/KHU2R8vLysHPnTvj6+sodRZEGDRqEsrIy3auoqEjuSETtglqtxrZt23Du3Dl88cUXWLp0KX9fdVAxMTFIS0uTOwZZWV1dHWJjY5GVlYUzZ84gPj4e165dkzsWGaGWO0B79OabbyIiIgKRkZEAgG3btuHYsWNITk7G5s2b5Y6nCCEhIQgJCZE7hqIdPXpUbzk1NRXOzs4oKCjAo48+KlsupQkNDdVb3rhxI5KTk3H69GkMGjRItlxKVFVVhdmzZyMlJQUbNmyQO44iqdVqXj0nagY3Nze4ubkBAJydnaHVanHt2jXY29vLHY2sbMyYMcjOzpY7BlnZd999h0GDBqFPnz4AgMceewzHjh3DzJkz5Y5GBvBKuoVqa2tRUFCAiRMn6r0/ceJEnDp1SrZc1P5dv34dAKDVauWOolj19fVIT09HdXU1AgMD5Y6jOIsWLcLkyZMxfvx4uaMoVnFxMe655x7ce++9ePrpp3HhwgW5IxFZhZTHzKz1qF5+fj4aGhrg4eFhheRkibasMylLS2t/5coV3QQdt+5ULC0tbbP8ZBlO0i109epV1NfXw8XFRe99FxcX/PHHH7LlovZNCIHY2FgEBQVh8ODBcsdRnKKiIjg4OMDW1hZRUVHYv38/fHx85I6lKOnp6Thz5gzv5jFhxIgRSEtLw7Fjx5CSkoI//vgDI0eOREVFhdzRiFrM3GNmUh7VCwgIwODBg5u8rly5otumoqICc+fOxc6dO9vkuEhfW9WZlKeltRdCNPmMSqVq9dzUTIIsUlpaKgCIU6dO6b2/YcMGMWDAANlyKRkAsX//frljKNrChQuFp6enuHTpktxRFKmmpkYUFxeLvLw88fLLL4tevXqJs2fPyh1LMUpKSoSzs7MoLCzUvTd69Gjx4osvyppL6aqqqoSLi4tISEiQOwqRVRn6vTt8+HARFRWl994DDzwgXn75Zcn7/ffff8WoUaNEWlqa1bJS87VWnYUQ4sSJE2L69OlWyUnW15za5+TkiKlTp+rWxcTEiA8//LCNEpOleCXdQr169YKNjU2Tq+bl5eVNrq4TSbF48WJkZGTgxIkTcHd3lzuOImk0Gnh5eWHYsGHYvHkz/Pz8kJSUJHcsxSgoKEB5eTkCAgKgVquhVqtx8uRJbN++HWq1GvX19XJHVCR7e3sMGTIExcXFckchalXWeFRPCIHw8HCMHTsWc+bMaaWk1BJ8JLPzklL74cOH44cffkBpaSlu3LiBI0eOYNKkSTIlJnM4SbeQRqNBQEAAMjMz9d7PzMzEyJEjZctF7Y8QAtHR0di3bx+ysrJw7733yh2p3RBCoKamRu4YijFu3DgUFRWhsLBQ9xo2bBhmz56NwsJC2NjYyB1RkWpqanD+/HldMyyijsoaj+rl5ORg7969OHDgAPz9/eHv789vR1AYaz2SOWnSJMyYMQNHjhyBu7s78vLyWiEtWZOU2qvVaiQkJGDMmDEYOnQoli9fDicnJ5kSkzns7t4MsbGxmDNnDoYNG4bAwEDs3LkTJSUliIqKkjuaYlRVVeGXX37RLV+8eBGFhYXQarXo27evrNmUYtGiRfjoo49w8OBBODo66n6Idu/eHXZ2dnLHU4zVq1cjJCQEHh4euHHjBtLT05Gdnd2kO35n5ujo2KSXgb29PZycnNjjoJFly5YhNDQUffv2RXl5OTZs2IDKykrMmzdP7mhEbeLO50+FEJKfSQ0KCkJDQ0MrJSNrakmdAeDYsWOtkIragrnah4WFISwsTIZkZClO0pvhqaeeQkVFBeLi4lBWVobBgwfjyJEj8PT0lDuaYuTn52PMmDG65djYWADAvHnzsHv3bhmTKUdycjIAIDg4WO/91NRUhIeHy5RKef7880/MmTMHZWVl6N69O3x9fXH06FFMmDBB7mjUzly+fBkzZ87E1atX0bt3bzz88MM4ffo0f3ZTh8dH9ToH1rnzYu07Hk7Sm2nhwoVYuHCh3DEUKzg42GAXSfo/nh9pdu3aJXeEdonfcdtUenq63BGIZNH4Ub1p06bp3s/MzMSUKVNkzUbWwzp3Xqx9x8NJOhEREVE7Z+4xMz6q1zGwzp0Xa9+5qAQv5xERERG1a9nZ2XqPmd3W+DGzt99+G1u3btU9qpeYmIhHH31UhrTUXKxz58Xady6cpBMREREREREpBL+CjYiIiIiIiEghOEknIiIiIiIiUghO0omIiIiIiIgUgpN0IiIiIiIiIoXgJJ2IiIiIiIhIIThJJyIiIiIiIlIITtLJpLVr18LW1hazZs1qk/GCg4OxZMmSNhmrOYQQWLBgAbRaLVQqFQoLC+WO1G4ZOpd31r+t/39gfYmIiIhIbvyedDKpsrISH3zwAaKjo1FcXAwvL69WHe/atWvo2rUrHB0dW3WcOwUHB8Pf3x/btm0zud3nn3+OKVOmIDs7G/3790evXr2gVqvbLGd7Ex4eDldXV2zZsqXJOkPnsrKyUq/+d9ZFap2ai/UlIiIiIrnxSjqZdPfdd+O5555Dly5dUFRU1OrjabXaNp+gW+LXX3+Fm5sbRo4cCVdXV4MTuNraWlmyKU1DQwMOHz6MKVOmGFxv6Fy2Vf2N1Yj1JSIiIiK5cZJOZtXV1aFbt2744YcfWn0sQ7c7x8TEYMWKFdBqtXB1dcVrr72mtz46OhrR0dHo0aMHnJycsHbtWjS+QaRfv35Nrrz6+/vr9hMeHo6TJ08iKSkJKpUKKpUKv/32W5Ns4eHhWLx4MUpKSqBSqdCvXz+9DLGxsejVqxcmTJgA3Lp1euvWrejfvz/s7Ozg5+eHTz/9VLe/6upqzJ07Fw4ODnBzc0NCQkKT4zeXXco45s4hbk2o4+Pj4eXlBVtbW/Tt2xcbN24EAKSlpcHJyQk1NTV6n5k+fTrmzp1rtJY5OTno0qULRowYYdG5NHZ7u7E6mTt+UzWSmon1JSIiIqK2wkk6mbV27VpUVVVJmqRv2rQJDg4OJl9ff/21RePv2bMH9vb2yM3NxdatWxEXF4fMzEy99Wq1Grm5udi+fTsSExPx3nvvSd5/UlISAgMDMX/+fJSVlaGsrAweHh4Gt4uLi4O7uzvKysqQl5fXJENOTg7effdd4NZ5S01NRXJyMs6ePYulS5fimWeewcmTJwEAy5cvx4kTJ7B//34cP34c2dnZKCgosOjcSBlHyjlctWoV4uPjsW7dOpw7dw4fffQRXFxcAAAzZsxAfX09MjIydNtfvXoVhw4dwrPPPms0V0ZGBkJDQ9GlS9MfM6bOpTHG6iTl+GGkRlIzsb5ERERE1GYEkQn5+flCo9GIyZMnCx8fH7PbV1RUiOLiYpOvf/75x+jnR48eLV588UW95aCgIL1tHnroIbFy5Urd+oEDB4qGhgbd+pUrV4qBAwfqlj09PUViYqLePvz8/MSrr75qdFxjEhMThaenZ5PM/v7+eu9VVVWJu+66S5w6dUrv/YiICDFz5kxx48YNodFoRHp6um5dRUWFsLOz08thLru5cYSEc1hZWSlsbW1FSkqK0eN+4YUXREhIiG5527Zton///nrn/U7333+/yMjIMLre2Lm8s/6mlqUcvzBSI0sysb5ERNKsWbNGaDQavZ/BrUnq72+5NDQ0iPnz54uePXsKAOL777+XO1K7Zehcmvt3ghyZiKyBHZHIqIaGBjz//POIjo7GiBEjMHv2bNTW1kKj0Rj9jFarhVartWoOX19fvWU3NzeUl5frlh9++GGoVCrdcmBgIBISElBfXw8bGxurZjFm2LBhesvnzp3Dv//+2+S26traWgwdOhS//voramtrERgYqFun1WoxYMAAi8Y1N85tps7h+fPnUVNTg3HjxhkdZ/78+XjooYdQWlqKPn36IDU1FeHh4XrnvbHz58/j8uXLGD9+vEXHYympxw8DNbIE60tEJM2KFSvg5uaG6OhoxMXFtXrD2X379qFr166tOoYhUhuZHj16FLt379ZrSErGmWo4a+hcmqt/azecZX2ptXCSTka99dZb+OuvvxAXF4eSkhLU1dXhp59+wpAhQ4x+ZtOmTdi0aZPJ/X7++ecYNWqU5Bx3/vBVqVRoaGiQ/PkuXbrgzi8x+O+//yR/Xgp7e3u95dv5Dh8+jD59+uits7W1RUVFhaT9mstubpzbTJ1DOzs7szmGDh0KPz8/pKWlYdKkSSgqKsJnn31mdPuMjAxMmDBB0r5bQurxw0CNLMH6EhFJc7vhbExMDIqKilp9km7tCwPW1rghqTHmLoB0FrcbzjZ+/KoxQ+eyrepvrEasL7UWPpNOBpWWlmLdunV4++23YW9vD29vb9ja2pp9Lj0qKgqFhYUmXy25omnI6dOnmyx7e3vrrqL37t0bZWVluvWVlZW4ePGi3mc0Gg3q6+utlsnHxwe2trYoKSmBl5eX3svDwwNeXl7o2rWrXva///4bP//8s95+zGU3N44U3t7esLOzw5dffmlyu8jISKSmpuL999/H+PHjTe7/4MGDCAsLkzS+Je6skzWOvzk6e32JiExhw1notmND0v9jw9nOXV+yDK+kk0ExMTEICQnB5MmTAQBqtRoDBw40+wu3NW53N+fSpUuIjY3F888/jzNnzuCtt95CQkKCbv3YsWOxe/duhIaGomfPnli3bl2T2+D79euH3Nxc/Pbbb3BwcIBWqzXY8EwqR0dHLFu2DEuXLkVDQwOCgoJQWVmJU6dOwcHBAfPmzUNERASWL18OJycnuLi4YM2aNU3GNJddyjjm3HXXXVi5ciVWrFgBjUaDRx55BH/99RfOnj2LiIgI3XazZ8/GsmXLkJKSgrS0NKP7Ky8vR15eHg4cONDs82eMoTq19PibozPXl4jIHEsbzlr7Drw9e/YgNjYWubm5+PbbbxEeHo5HHnlEN1nas2cPIiIikJubi/z8fCxYsACenp6YP3++pP0nJSXh559/xuDBgxEXFwfc+qOroe3uu+8+7Ny5E3l5eXo/3/fs2YMXXngBOTk5uj8QrF27Fvv27UNycjK8vb3x1Vdf4ZlnnkHv3r0xevRovYakrq6uWL16NQoKCuDv7y/53EgZR8o5XLVqFVJSUpCYmIigoCCUlZXhxx9/BG41JI2JiUFGRgZmzJgBNGpIevToUaO5zDWcNXYujTFWJynHb6xGUjOxvtRSnKRTE4cOHUJWVhbOnz+v9/6QIUPa5K/ilpo7dy5u3ryJ4cOHw8bGBosXL8aCBQt061etWoULFy7g8ccfR/fu3bF+/fomV9KXLVuGefPmwcfHBzdv3sTFixd1fxFtrvXr18PZ2RmbN2/GhQsX0KNHDzz44INYvXo1AOD1119HVVUVwsLC4OjoiJdeegnXr1/X24eU7ObGkWLdunVQq9V45ZVXcOXKFbi5uSEqKkpvm7vvvhvTp0/H4cOHMXXqVKP7+uyzzzBixAg4OztLHl8qQ3WyxvE3R2etLxGRKQUFBXjnnXcwefJkSf9miIqKwpNPPmlymzsf9zHH19cXr776KnDrbqIdO3bgyy+/1E1APDw8kJiYCJVKhQEDBqCoqAiJiYmSJ+ndu3eHRqNBt27d4OrqanI7R0dH2NjYNNnOy8sLW7du1S1XV1fjzTffRFZWlq6fSf/+/fHNN9/g3XffRUBAAHbt2oW0tDS9Pza4u7tbdG7MjXN7EmfqHN64cQNJSUnYsWOH7o/F9913H4KCgoBbj1nNmjULqampuknchx9+CHd3dwQHBxvNlpGRgTfeeMPic2mMoTpJPX4YqJElmVhfajG5O9cRtYTSu7paSunHM378eLF48WKT24SGhor4+Pg2y9SedIT6EhEZU19fLwICAkRsbKzYu3evUKvVoqamplXHNNTde+HChXrbhIWFiWeffVa3/vZ/33bgwAGhVqtFXV2dEG30rTCRkZF673333XcCgLC3t9d7de3aVQwfPlwUFhYKAOL333/X+5y/v79F3xpibhwp5zA3N1cAEBcuXDB63GfOnBE2Njbi8uXLugxxcXFGtz937pzo1q2byW8Assa3wkg5fmGkRpZkYn2ppXglnYjMunbtGo4fP46srCzs2LHD5LZBQUGYOXNmm2WjlrOkvkRExrDhrHRsSKqPDWc7dn3JcpykE5FZDz74IP7++2/Ex8eb/RqxFStWtFkusg5L6ktEZMjthrMff/xxk4azpibprXG7uzlKbzjb+Jbr23r27KlrSNq3b1+gUUPSxttb0pDU0DhSNG5IGhkZaXS7yMhIJCYmorS0VFLDWVP7ai5TDWebe/zN0dnrS5bjJJ3atezsbLkjWJVSj8dQ11qyHOtLRB0VG86y4SwbzhrXmetLzcNJOhERERE1GxvOsuEsG86a11nrS82jEoa+U4CIiIiIqIMJDg6Gv79/k++abq+UfjwTJkzAwIEDsX37dqPbhIWFISgoiI/LGdAR6kvNwyvpRERERERkNWw427Gx4Wzr4ySdiIiIiIishg1nOzY2nG19vN2diIiIiIiISCGa34aSiIiIiIiIiKyKk3QiIiIiIiIiheAknYiIiIiIiEghOEknIiIiIiIiUghO0omIiIiIiIgUgpN0IiIiIiIiIoXgJJ2IiIiIiIhIIThJJyIiIiIiIlIITtKJiIiIiIiIFIKTdCIiIiIiIiKF+B9cwb3YPfffCAAAAABJRU5ErkJggg==", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import matplotlib.pyplot as plt\n", - "import numpy as np\n", - "\n", - "f = lambda x: 1 / np.sqrt(1 + x**2)\n", - "\n", - "x = np.linspace(0, 5, 1001)\n", - "y = f(x)\n", - "\n", - "fig = plt.figure(figsize=(12, 4))\n", - "fig.subplots_adjust(wspace=0.3)\n", - "\n", - "ax = plt.subplot(1, 2, 1)\n", - "ax.set_xlabel(r'$\\lambda$ = input frequency / filter frequency')\n", - "ax.set_ylabel('scaling factor')\n", - "ax.axvline(1, color='#999', lw=0.5, label=r'$\\omega = \\phi$')\n", - "ax.axhline(f(1), color='#999', lw=0.5)\n", - "ax.plot(x, y, label='response')\n", - "ax.legend()\n", - "\n", - "ax = plt.subplot(1, 2, 2)\n", - "ax.set_xscale('log')\n", - "ax.set_yscale('log')\n", - "ax.set_xlabel(r'$\\lambda$ = input frequency / filter frequency')\n", - "ax.set_ylabel('scaling factor')\n", - "ax.axvline(1, color='#999', lw=0.5, label=r'$\\omega = \\phi$')\n", - "ax.axhline(f(1), color='#999', lw=0.5)\n", - "ax.plot(x, y, label='response')\n", - "ax.legend()\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "e37dc6d6", - "metadata": {}, - "source": [ - "Looking at the linear plot, we can clearly see that the filter has a strong effect on frequencies above $\\omega$, but already provides significant damping even at $\\phi = \\omega$.\n", - "In the log-log plot the effect seems a bit more dramatic: for $\\phi \\approx 10^{-1} \\omega$ there is very little filtering, but anything higher gets filtered out.\n", - "\n", - "This finally shows us why it's called a \"low-pass\" filter: only low frequencies (relative to $\\omega$) pass through unattenuated.\n", - "\n", - "When combined with a plot of the phase shift, the log-log plot above is called a [Bode plot](https://en.wikipedia.org/wiki/Bode_plot).\n", - "In many engineering applications the transient response is uninteresting (provided it can be made short), so people usually don't bother with all the above to figure it out.\n", - "Instead, they look only at the _frequency response_." - ] - }, - { - "cell_type": "markdown", - "id": "8b9b737b", - "metadata": {}, - "source": [ - "### Corner frequency and bandwidth\n", - "\n", - "At $\\phi = \\omega$, the filter reduces the signal by a factor $1 / \\sqrt{1 + \\lambda^2} = 1 / \\sqrt{2}$.\n", - "Because the _power_ of this signal is proportional to its square, $1/2$, and because $^{10}\\log(1/2) \\approx -3.01$ this is also known as the \"3[dB](https://en.wikipedia.org/wiki/Decibel) point\"." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "94ebcf66", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "np.float64(-3.010299956639812)" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "amplitude = 1 / np.sqrt(2) # The amplitude at phi=omega is 1/sqrt(2)\n", - "power = amplitude**2 # The power is proportional to amplitude**2\n", - "10*np.log10(1/2) # Engineers like decibels" - ] - }, - { - "cell_type": "markdown", - "id": "cf4fcea0", - "metadata": {}, - "source": [ - "In general, any frequency at which a filter's gain drops to $\\sqrt{1/2}$ is known as a _cutoff_ or [_corner frequency_](https://en.wikipedia.org/wiki/Cutoff_frequency).\n", - "\n", - "The width of the range of frequencies with a gain above $\\sqrt{1/2}$ is called the [bandwidth](https://en.wikipedia.org/wiki/Bandwidth_(signal_processing)).\n", - "For the low-pass filter above, both the cutoff frequency and the bandwidth have the value $\\omega$." - ] - }, - { - "cell_type": "markdown", - "id": "adc1c4cc", - "metadata": {}, - "source": [ - "### Equations for cos and sin" - ] - }, - { - "cell_type": "markdown", - "id": "2bfed6d2", - "metadata": {}, - "source": [ - "In summary, for the low-pass filter and a cosine input we found\n", - "\n", - "\\begin{align}\n", - "y(t) &= -\\frac{\\omega^2}{\\omega^2 + \\phi^2} e^{-\\omega t} + \\frac{\\omega}{\\sqrt{\\omega^2 + \\phi^2}} \\cos\\left(\\phi t - \\arctan(\\phi / \\omega)\\right) \\\\\n", - " &= -\\frac{1}{1 + \\lambda^2} e^{-\\omega t} + \\frac{1}{\\sqrt{1 + \\lambda^2}} \\cos\\left(\\phi t - \\arctan(\\lambda) \\right)\n", - "\\end{align}\n", - "\n", - "where $\\lambda = \\phi / \\omega$.\n", - "\n", - "We can repeat with a $\\sin$ input to find\n", - "\n", - "\\begin{align}\n", - "y(t) &= \\frac{\\omega\\phi}{\\omega^2 + \\phi^2} e^{-\\omega t} \n", - " + \\frac{\\omega}{\\sqrt{\\omega^2 + \\phi^2}} \\sin\\left(\\phi t - \\arctan(\\phi/\\omega)\\right) \\\\\n", - " &= \\frac{\\lambda}{1 + \\lambda^2} e^{-\\omega t} \n", - " + \\frac{1}{\\sqrt{1 + \\lambda^2}} \\sin\\left(\\phi t - \\arctan(\\lambda)\\right)\n", - "\\end{align}" - ] - }, - { - "cell_type": "markdown", - "id": "29c1de4a", - "metadata": {}, - "source": [ - "### Let's simulate\n", - "\n", - "We now use Myokit to simulate three cases: $\\lambda = 1/2$, $\\lambda = 1$, and $\\lambda = 2$.\n", - "\n", - "First we define a model for the cosine case:" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "6982ea37", - "metadata": {}, - "outputs": [], - "source": [ - "import myokit\n", - "\n", - "cos_model = myokit.parse_model('''\n", - "[[model]]\n", - "rc.v0 = 0\n", - "rc.v1 = 0\n", - "rc.v2 = 0\n", - "input(time, omega, lambda) = cos(lambda * omega * time)\n", - "\n", - "[rc]\n", - "t = 0 bind time\n", - "omega = 2\n", - "cos0 = input(t, omega, 1 / 2)\n", - "cos1 = input(t, omega, 1)\n", - "cos2 = input(t, omega, 2)\n", - "dot(v0) = (cos0 - v0) * omega\n", - "dot(v1) = (cos1 - v1) * omega\n", - "dot(v2) = (cos2 - v2) * omega\n", - "''')" - ] - }, - { - "cell_type": "markdown", - "id": "5a6312aa", - "metadata": {}, - "source": [ - "Next, we'll run a simulation and plot the results:" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "2ec8fc99", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "sim = myokit.Simulation(cos_model)\n", - "sim.set_tolerance(1e-8, 1e-8)\n", - "log = sim.run(np.pi * 3).npview()\n", - "t = log.time()\n", - "\n", - "def amplitude(x):\n", - " \"\"\"Expected amplitude\"\"\"\n", - " return 1 / np.sqrt(1 + x**2)\n", - "\n", - "fig = plt.figure(figsize=(15, 5))\n", - "\n", - "ax = fig.add_subplot(1, 1, 1)\n", - "ax.set_title('Cosine simulations')\n", - "ax.set_ylim(-1.1, 1.1)\n", - "ax.plot(t, log['rc.v0'], label=r'$\\lambda = 1/2$')\n", - "ax.plot(t, log['rc.v1'], label=r'$\\lambda = 1$')\n", - "ax.plot(t, log['rc.v2'], label=r'$\\lambda = 2$')\n", - "kw = dict(color='#999', lw=0.5, ls='--')\n", - "ax.axhline(amplitude(1/2), **kw)\n", - "ax.axhline(amplitude(1), **kw)\n", - "ax.axhline(amplitude(2), **kw)\n", - "ax.legend(ncols=3)\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "ab5437b5", - "metadata": {}, - "source": [ - "This shows the simulated voltages all starting at $V(t=0) = 0$, but then quickly adapting to become proper cosines.\n", - "Each signal is attenuated during the first period, but by the second period we see the peaks reach the expected amplitude for a pure signal.\n" - ] - }, - { - "cell_type": "markdown", - "id": "108098bc", - "metadata": {}, - "source": [ - "To check if our maths was any good, we can define functions using the derived equations for the transient and periodic terms, and compare them to the simulations:" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "dbdea210", - "metadata": {}, - "outputs": [], - "source": [ - "omega = cos_model.get('rc.omega').eval()\n", - "\n", - "def cos_transient(t, x):\n", - " \"\"\"Transient, using x=lambda.\"\"\"\n", - " return -1 / (1 + x**2) * np.exp(-omega * t)\n", - "\n", - "def cos_periodic(t, x):\n", - " \"\"\"Sine wave with gain and phase shift.\"\"\"\n", - " return 1 / np.sqrt(1 + x**2) * np.cos(omega * x * t - np.arctan(x))" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "7e6d22cb", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig = plt.figure(figsize=(15, 9))\n", - "\n", - "ax = fig.add_subplot(2, 2, 1)\n", - "ax.set_title('Simulations, and subtracted transients')\n", - "ax.set_ylim(-1.1, 1.1)\n", - "ax.plot(t, log['rc.v0'], label=r'$\\lambda = 1/2$')\n", - "ax.plot(t, log['rc.v1'], label=r'$\\lambda = 1$')\n", - "ax.plot(t, log['rc.v2'], label=r'$\\lambda = 2$')\n", - "ax.plot(t, log['rc.v0'] - cos_transient(t, 1/2), '--', color='tab:blue', label='Simulation minus transient')\n", - "ax.plot(t, log['rc.v1'] - cos_transient(t, 1), '--', color='tab:orange', label='Simulation minus transient')\n", - "ax.plot(t, log['rc.v2'] - cos_transient(t, 2), '--', color='tab:green', label='Simulation minus transient')\n", - "ax.legend(ncols=2)\n", - "\n", - "ax = fig.add_subplot(2, 2, 2)\n", - "ax.set_title('Derived cosines')\n", - "ax.set_ylim(-1.1, 1.1)\n", - "ax.plot(t, cos_periodic(t, 0.5), '--', color='tab:blue') \n", - "ax.plot(t, cos_periodic(t, 1), '--', color='tab:orange')\n", - "ax.plot(t, cos_periodic(t, 2), '--', color='tab:green')\n", - "\n", - "ax = fig.add_subplot(2, 2, 3)\n", - "ax.set_title('Derived transients')\n", - "ax.set_ylim(-1.1, 1.1)\n", - "ax.plot(t, cos_transient(t, 0.5))\n", - "ax.plot(t, cos_transient(t, 1))\n", - "ax.plot(t, cos_transient(t, 2))\n", - "\n", - "ax = fig.add_subplot(2, 2, 4)\n", - "ax.set_title('Simulations minus derived cosines')\n", - "ax.set_ylim(-1.1, 1.1)\n", - "ax.plot(t, log['rc.v0'] - cos_periodic(t, 0.5))\n", - "ax.plot(t, log['rc.v1'] - cos_periodic(t, 1))\n", - "ax.plot(t, log['rc.v2'] - cos_periodic(t, 2))\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "badaae31", - "metadata": {}, - "source": [ - "We can repeat the exercise for the sine wave equations:" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "f9b341f4", - "metadata": {}, - "outputs": [], - "source": [ - "sin_model = myokit.parse_model('''\n", - "[[model]]\n", - "rc.v0 = 0\n", - "rc.v1 = 0\n", - "rc.v2 = 0\n", - "input(time, omega, lambda) = sin(lambda * omega * time)\n", - "\n", - "[rc]\n", - "t = 0 bind time\n", - "omega = 2\n", - "sin0 = input(t, omega, 1 / 2)\n", - "sin1 = input(t, omega, 1)\n", - "sin2 = input(t, omega, 2)\n", - "dot(v0) = (sin0 - v0) * omega\n", - "dot(v1) = (sin1 - v1) * omega\n", - "dot(v2) = (sin2 - v2) * omega\n", - "''')" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "147105b9", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "sim = myokit.Simulation(sin_model)\n", - "sim.set_tolerance(1e-8, 1e-8)\n", - "log = sim.run(np.pi * 3).npview()\n", - "t = log.time()\n", - "\n", - "fig = plt.figure(figsize=(15, 5))\n", - "\n", - "ax = fig.add_subplot(1, 1, 1)\n", - "ax.set_title('Sine simulations')\n", - "ax.set_ylim(-1.1, 1.1)\n", - "ax.plot(t, log['rc.v0'], label=r'$\\lambda = 1/2$')\n", - "ax.plot(t, log['rc.v1'], label=r'$\\lambda = 1$')\n", - "ax.plot(t, log['rc.v2'], label=r'$\\lambda = 2$')\n", - "kw = dict(color='#999', lw=0.5, ls='--')\n", - "ax.axhline(amplitude(1/2), **kw)\n", - "ax.axhline(amplitude(1), **kw)\n", - "ax.axhline(amplitude(2), **kw)\n", - "ax.legend()\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "74ae6fe7", - "metadata": {}, - "source": [ - "Consistent with the positive transient term, the signals now all start off with high amplitudes before settling down to the expected filtering level.\n", - "\n", - "Next, we perform the same checks as before:" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "17efb2f1", - "metadata": {}, - "outputs": [], - "source": [ - "omega = sin_model.get('rc.omega').eval()\n", - "\n", - "def sin_transient(t, x):\n", - " \"\"\"Transient, using x=lambda.\"\"\"\n", - " return x / (1 + x**2) * np.exp(-omega * t)\n", - "\n", - "def sin_periodic(t, x):\n", - " \"\"\"Sine wave with gain and phase shift.\"\"\"\n", - " return 1 / np.sqrt(1 + x**2) * np.sin(omega * x * t - np.arctan(x))" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "e1c06f2c", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig = plt.figure(figsize=(15, 9))\n", - "\n", - "ax = fig.add_subplot(2, 2, 1)\n", - "ax.set_title('Simulations, and subtracted transients')\n", - "ax.set_ylim(-1.1, 1.1)\n", - "ax.plot(t, log['rc.v0'], label=r'$\\lambda = 1/2$')\n", - "ax.plot(t, log['rc.v1'], label=r'$\\lambda = 1$')\n", - "ax.plot(t, log['rc.v2'], label=r'$\\lambda = 2$')\n", - "ax.plot(t, log['rc.v0'] - sin_transient(t, 1/2), '--', color='tab:blue', label='Simulation minus transient')\n", - "ax.plot(t, log['rc.v1'] - sin_transient(t, 1), '--', color='tab:orange', label='Simulation minus transient')\n", - "ax.plot(t, log['rc.v2'] - sin_transient(t, 2), '--', color='tab:green', label='Simulation minus transient')\n", - "ax.legend(ncols=2)\n", - "\n", - "ax = fig.add_subplot(2, 2, 2)\n", - "ax.set_title('Derived cosines')\n", - "ax.set_ylim(-1.1, 1.1)\n", - "ax.plot(t, sin_periodic(t, 0.5), '--', color='tab:blue') \n", - "ax.plot(t, sin_periodic(t, 1), '--', color='tab:orange')\n", - "ax.plot(t, sin_periodic(t, 2), '--', color='tab:green')\n", - "\n", - "ax = fig.add_subplot(2, 2, 3)\n", - "ax.set_title('Derived transients')\n", - "ax.set_ylim(-1.1, 1.1)\n", - "ax.plot(t, sin_transient(t, 0.5), label=r'$\\lambda=1/2$')\n", - "ax.plot(t, sin_transient(t, 1), label=r'$\\lambda=1/2$')\n", - "ax.plot(t, sin_transient(t, 2), 'k:', label=r'$\\lambda=1/2$')\n", - "ax.legend()\n", - "\n", - "ax = fig.add_subplot(2, 2, 4)\n", - "ax.set_title('Simulations minus derived cosines')\n", - "ax.set_ylim(-1.1, 1.1)\n", - "ax.plot(t, log['rc.v0'] - sin_periodic(t, 0.5))\n", - "ax.plot(t, log['rc.v1'] - sin_periodic(t, 1))\n", - "ax.plot(t, log['rc.v2'] - sin_periodic(t, 2), 'k:')\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "0a7221fa", - "metadata": {}, - "source": [ - "## General frequency response\n", - "\n", - "To see how the above examples generalise, we start with an impulse response $h(t)$ **for a stable system** and a cosine input\n", - "\n", - "$$u(t) = \\cos(\\omega t)$$\n", - "to get output\n", - "$$y(t) = \\int_0^t h(\\tau)\\cos(\\omega(t - \\tau))d\\tau$$\n", - "which we can write as\n", - "$$y(t) = \\int_0^\\infty h(\\tau)\\cos(\\omega(t - \\tau))d\\tau - \\int_t^\\infty h(\\tau)\\cos(\\omega(t - \\tau))d\\tau$$\n", - "\n", - "This seems like a crazy thing to do, but recall that this is an equation _for a single value_ $y$ of $t$.\n", - "Because the system is _stable_, its impulse response $h(t)$ will dampen out for increasing values of $t$.\n", - "As a result, the multiplication by $h(\\tau)$ will cause **the second term to get very small for large values of the starting point of the integral, $t$**:" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "dc683065", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig = plt.figure(figsize=(15, 2.5))\n", - "\n", - "f = lambda x: np.exp(-x)\n", - "x = np.linspace(0, 10, 1001)\n", - "y = f(x)\n", - "\n", - "ax = fig.add_subplot(1, 3, 1)\n", - "ax.set_xlim(0, 10); ax.set_ylim(0, 1)\n", - "ax.plot(x, y)\n", - "ax.fill_between(x, y, alpha=0.2)\n", - "ax.text(2, 0.5, r'$\\int h$ from 0 to $\\infty$')\n", - "ax.text(2, 0.35, '$A=1$')\n", - "\n", - "ax = fig.add_subplot(1, 3, 2)\n", - "ax.set_xlim(0, 10); ax.set_ylim(0, 1)\n", - "ax.axvline(x[200], color='k', lw=1)\n", - "ax.plot(x, y)\n", - "ax.fill_between(x[200:], y[200:], alpha=0.2)\n", - "ax.text(2.5, 0.5, r'$\\int h$ from 2 to $\\infty$')\n", - "ax.text(2.5, 0.4, f'$A\\\\approx{np.exp(-2):.3}$')\n", - "\n", - "ax = fig.add_subplot(1, 3, 3)\n", - "ax.set_xlim(0, 10); ax.set_ylim(0, 1)\n", - "ax.axvline(x[400], color='k', lw=1)\n", - "ax.plot(x, y)\n", - "ax.fill_between(x[400:], y[400:], alpha=0.2)\n", - "ax.text(4.5, 0.5, r'$\\int h$ from 4 to $\\infty$')\n", - "ax.text(4.5, 0.4, f'$A \\\\approx{np.exp(-4):.3}$')\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "51c3a3f1", - "metadata": {}, - "source": [ - "By contrast, the integral in the first term\n", - "$$y_{ss}(t) = \\int_0^\\infty h(\\tau)\\cos(\\omega(t - \\tau))d\\tau$$\n", - "is always taken from 0 to $\\infty$, so over the full range of $h$, capturing its full \"weight\" of 1.\n", - "\n", - "This splits the system into a **periodic steady-state response** (first term) and a **transient response** (second term).\n", - "\n", - "Assuming that we're only interested in the periodic steady-state response, $y_{ss}$, we can then analyse the system by looking at $y_{ss}$ exclusively:\n", - "\n", - "\\begin{align}\n", - "y_{ss}(t)\n", - " &= \\int_0^\\infty h(\\tau)\\cos(\\omega(t - \\tau))d\\tau \\\\\n", - " &= \\frac{1}{2} \\int_0^\\infty h(\\tau)\\left(e^{i\\omega(t - \\tau)} + e^{-i\\omega(t - \\tau)}\\right)d\\tau \\\\\n", - " &= \\frac{1}{2} e^{i\\omega t} \\int_0^\\infty h(\\tau)e^{-i\\omega\\tau} d\\tau +\n", - " \\frac{1}{2} e^{-i\\omega t} \\int_0^\\infty h(\\tau)e^{i\\omega\\tau} d\\tau \\\\\n", - " &= \\frac{1}{2} e^{i\\omega t} H(i\\omega) + \\frac{1}{2} e^{-i\\omega t} H(-i\\omega) \\\\\n", - "\\end{align}" - ] - }, - { - "cell_type": "markdown", - "id": "10125dc2", - "metadata": {}, - "source": [ - "where we have isolated $H(i\\omega)$ and $H(-i\\omega)$: two _evaluations_ of the transfer function!\n", - "\n", - "To go further, we first need to show that $H(-i\\omega)$ and $H(i\\omega)$ are each other's complex conjugates, i.e. $\\overline{H(-i\\omega)}=H(i\\omega)$.\n", - "We can do this simply by writing them out:\n", - "\n", - "\\begin{align}\n", - "H(-i\\omega) = \\int_0^\\infty h(t)e^{i\\omega t}dt\n", - " = \\int_0^\\infty h(t)\\cos(\\omega t)dt + i \\int_0^\\infty h(t)\\sin(\\omega t)dt\n", - "\\end{align}\n", - "\n", - "Here the first and second terms are the real and imaginary parts of $H(-i\\omega)$ (because $h$ and $\\cos$ and $\\sin$ all return real values).\n", - "We do the same for $H(i\\omega)$:\n", - "\n", - "\\begin{align}\n", - "H(i\\omega) &= \\int_0^\\infty h(t)e^{-i\\omega t}dt \\\\\n", - " &= \\int_0^\\infty h(t)\\cos(-\\omega t)dt + i \\int_0^\\infty h(t)\\sin(-\\omega t)dt \\\\\n", - " &= \\int_0^\\infty h(t)\\cos(\\omega t)dt - i \\int_0^\\infty h(t)\\sin(\\omega t)dt \\\\\n", - " &= \\overline{H(-i\\omega)} &\n", - "\\end{align}" - ] - }, - { - "cell_type": "markdown", - "id": "490bf0f7", - "metadata": {}, - "source": [ - "Now, using $R=\\operatorname{Re}(H(i\\omega))$ and $I=\\operatorname{Im}(H(i\\omega))$ we can write\n", - "\n", - "\\begin{align}\n", - "y_{ss}(t)\n", - " &= \\frac{1}{2} \\left[ e^{i\\omega t} H(i\\omega) + e^{-i\\omega t} H(-i\\omega) \\right] \\\\\n", - " &= \\frac{1}{2} \\left[ e^{i\\omega t} H(i\\omega) + e^{-i\\omega t} \\overline{H(i\\omega)} \\right] \\\\\n", - " &= \\frac{1}{2} \\left[ e^{i\\omega t} R + i e^{i\\omega t} I + e^{-i\\omega t} R - i e^{-i\\omega t} I \\right] \\\\\n", - " &= \\frac{1}{2} \\left[ (e^{i\\omega t} + e^{-i\\omega t}) R + i (e^{i\\omega t} - i e^{-i\\omega t}) I \\right] \\\\\n", - " &= R\\cos(\\omega t) - I\\sin(\\omega t) \\\\\n", - "\\end{align}\n", - "\n", - "Finally, using the harmonic addition theorem in atan2 form (see above), we get\n", - "\n", - "\\begin{align}\n", - "y_{ss}(t) = |H(i\\omega)| \\cos(\\omega t + \\angle H(i\\omega))\n", - "\\end{align}\n", - "\n", - "where $|H(iw)| = \\sqrt{R^2 + I^2}$ and $\\angle H(i\\omega) = \\operatorname{atan2}(I, R)$.\n", - "\n", - "This shows that we can write a **stable** system's _periodic steady state response_ to a cosine input with frequency $\\omega$ in terms of the transfer function evaluated at $H(i\\omega)$.\n", - "If we allow $\\omega$ to vary, the resulting function $H(i\\omega)$ is called the system's _frequency response_.\n", - "\n", - "Repeating the steps above with a sine input, we find\n", - "\n", - "\\begin{align}\n", - "y_{ss,cos}(t) = |H(i\\omega)| \\cos(\\omega t + \\angle H(i\\omega)) \\\\\n", - "y_{ss,sin}(t) = |H(i\\omega)| \\sin(\\omega t + \\angle H(i\\omega))\n", - "\\end{align}" - ] - }, - { - "cell_type": "markdown", - "id": "dba28c61", - "metadata": {}, - "source": [ - "### The low-pass filter again\n", - "\n", - "We now apply this general procedure to the low-pass filter we analysed before.\n", - "Because we used $\\omega$ for its filter frequency, we'll use $\\phi$ for the input frequency and $H(i\\phi)$ for the frequency response.\n", - "\n", - "\\begin{align}\n", - "H(s) &= \\frac{\\omega}{s + \\omega} \\\\\n", - "H(i\\phi) &= \\frac{\\omega}{\\omega+i\\phi}\n", - " = \\frac{\\omega(\\omega-i\\phi)}{(\\omega+i\\phi)(\\omega-i\\phi)}\n", - " = \\frac{\\omega^2 - i\\omega\\phi}{\\omega^2 + \\phi^2}\n", - "\\end{align}\n", - "\n", - "\\begin{align}\n", - "|H(i\\phi)| = \\frac{|\\omega|}{|\\omega+i\\phi|}\n", - " = \\frac{\\omega}{\\sqrt{\\omega^2 + \\phi^2}}\n", - "\\end{align}\n", - "\n", - "\\begin{align}\n", - "\\angle H(i\\phi) = \\arctan(-\\omega\\phi / \\omega^2) \n", - " = \\arctan(-\\phi / \\omega)\n", - " = -\\arctan(\\phi / \\omega)\n", - "\\end{align}" - ] - }, - { - "cell_type": "markdown", - "id": "083f3e94", - "metadata": {}, - "source": [ - "And so\n", - "\\begin{align}\n", - "y_{ss,\\cos} &= \\frac{\\omega}{\\sqrt{\\omega^2 + \\phi^2}} \\cos\\left(\\phi t - \\arctan(\\phi/\\omega)\\right) \\\\\n", - "y_{ss,\\sin} &= \\frac{\\omega}{\\sqrt{\\omega^2 + \\phi^2}} \\sin\\left(\\phi t - \\arctan(\\phi/\\omega)\\right)\n", - "\\end{align}" - ] - }, - { - "cell_type": "markdown", - "id": "20fb7cbe", - "metadata": {}, - "source": [ - "## More filters!\n", - "\n", - "A general strategy to analyse filters is to look at $H(i\\omega)$, work out $|H(i\\omega)|$ and $\\angle H(i\\omega)$, and then make a Bode plot." - ] - }, - { - "cell_type": "markdown", - "id": "fd49d887", - "metadata": {}, - "source": [ - "### A first-order low-pass filter, one last time" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "60cca6f0", - "metadata": { - "scrolled": true - }, - "outputs": [], - "source": [ - "def bode(mag, arg, axes=None, lo=1e-2, hi=1e5, **kwargs):\n", - " lo, hi = np.log10(lo), np.log10(hi)\n", - " w = np.logspace(lo, hi, 1001, base=np.e)\n", - "\n", - " if axes is None:\n", - " fig = plt.figure(figsize=(9, 6))\n", - " fig.subplots_adjust(hspace=0.2)\n", - " ax0 = fig.add_subplot(2, 1, 1)\n", - " ax0.set_xscale('log')\n", - " ax0.set_yscale('log')\n", - " ax0.set_ylabel('Gain')\n", - " ax0.grid()\n", - "\n", - " ax1 = fig.add_subplot(2, 1, 2)\n", - " ax1.set_xscale('log')\n", - " ax1.set_xlabel('Angular frequency')\n", - " ax1.set_ylabel('Phase shift (degrees)')\n", - " ax1.grid()\n", - " else:\n", - " ax0, ax1 = axes\n", - "\n", - " label=None\n", - " if kwargs:\n", - " label=','.join(f'{k}={v}' for k, v in kwargs.items())\n", - "\n", - " ax0.plot(w, mag(w, **kwargs), label=None)\n", - " ax1.plot(w, arg(w, **kwargs) * 180 / np.pi, label=label)\n", - " if label is not None:\n", - " ax1.legend()\n", - " \n", - " return ax0, ax1" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "8e2f5c79", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "w_filter = 1\n", - "mag = lambda w: w_filter / np.sqrt(w_filter**2 + w**2)\n", - "arg = lambda w: np.arctan(-w / w_filter)\n", - "bode(mag, arg)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "159edacf", - "metadata": {}, - "source": [ - "### A first-order high-pass filter\n", - "\n", - "We'll use\n", - "\\begin{align}\n", - "H(s) = \\frac{s}{s + \\omega}\n", - "\\end{align}\n", - "so that\n", - "\\begin{align}\n", - "H(i\\phi) &= \\frac{i\\phi}{\\omega+i\\phi} = \\frac{\\phi^2 + i\\omega\\phi}{\\omega^2-\\phi^2} \\\\\n", - "|H(i\\phi)| &= \\frac{|i\\phi|}{|\\omega+i\\phi|} = \\frac{\\phi}{\\sqrt{\\omega^2+\\phi^2}} \\\\\n", - "\\angle H(i\\phi) &= \\arctan(\\omega / \\phi)\n", - "\\end{align}" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "d5e1ad13", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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1IJwxvZri6mI2ujwRERG5ShRGRMRQKw8m8edFe0rOkjWkQxB/HtKaIB8Po0sTERGRq0z/5FiFRowYga+vL3feeafRpYhUe2cz83jqs+2M+XAzcak5hPh68NHD3Zk5souCiIiISC2hMFKFnnzySebPn290GSLVmsPh4Mttp7lp2iq+2hGP2QTjejdl+cS+3NiigdHliYiIyDWk3bSqUGRkJD/99JPRZYhUW6fOZfPi4j2sPpQMQKuGXrx2Rwc6htYzujQRERExQLXYMhIXF8cDDzxA/fr18fT0pFOnTmzdurXKxl+9ejVDhw4lODgYk8nE4sWLL9pv1qxZNG3aFHd3dyIiIlizZk2V1SBSmzkcDj7ZeJJB01ez+lAyri5mnh3Ukm/+2FtBREREpBYzfMvI+fPn6dWrF5GRkXz//fcEBARw9OhR6tW7+A+UdevW0b17d6xWa6n2AwcOUK9ePRo2bFjmOVlZWXTs2JExY8Zwxx13XHTchQsXMmHCBGbNmkWvXr149913GTx4MPv27aNx48YAREREkJeXV+a5y5cvJzg4uIKfgIhzS0jLYfL/drHmcAoA3Zv48Y872tOsQV2jSxMRERGDGR5GXnvtNUJDQ/nwww9L2po0aXLRvna7nejoaMLDw/nss8+wWIquwnzo0CEiIyOZOHEikydPLvO8wYMHM3jw4MvWMW3aNMaOHcu4ceMAmD59OsuWLWP27NlMnToVoMq21sycOZOZM2dis9mqZDyR6qjo2JA4pnyzl4zcQtxczEy+uRVjejbBbDYZXZ6IiIhUA4bvpvX111/TtWtX7rrrLgICAujcuTPvvffeRfuazWaWLFnC9u3befDBB7Hb7Rw9epT+/fszbNiwiwaR8sjPz2fr1q1ERUWVao+KimL9+vUVGvNyoqOj2bdvH5s3b67ysUWqg+SMPB79eCtPf76TjNxCOoXWY8lTfRjbu6mCiIiIiJQwfMvIsWPHmD17NpMmTeKFF15g06ZNPPnkk7i5ufHggw+W6R8cHMyPP/5I3759GTlyJD///DMDBgzgnXfeqXANKSkp2Gw2AgMDS7UHBgaSmJhY7nEGDRrEtm3byMrKIiQkhEWLFtGtW7cK1yVSE32/O4EXFu3mfHYBVouJCTe14LG+zXCxGP5vHyIiIlLNGB5G7HY7Xbt25dVXXwWgc+fO7N27l9mzZ180jAA0btyY+fPnc+ONN9KsWTPmzp2LyVT5f2397RgOh+OKxl22bFmlaxCpqbLyCpny9V4+33oagDZB3rx5d0daB3kbXZqIiIhUU4b/U2VQUBBt2rQp1da6dWtiY2Mv+ZwzZ87w6KOPMnToULKzs5k4cWKlavD398disZTZCpKUlFRma4mIlLXzVCpD/rWGz7eexmSC6MjrWBzdS0FERERELsvwLSO9evXi4MGDpdoOHTpEWFjYRfunpKQwYMAAWrduzeeff87hw4fp168fbm5u/POf/6xQDa6urkRERBATE8OIESNK2mNiYhg+fHiFxhSpDWx2B++uPsq05YcotDsI9nHnrXs6cX2z+kaXJiIiIjWA4WFk4sSJ9OzZk1dffZW7776bTZs2MWfOHObMmVOmr91u5+abbyYsLIyFCxfi4uJC69atWbFiBZGRkTRq1OiiW0kyMzM5cuRIyfLx48fZsWMHfn5+JaftnTRpEqNGjaJr16706NGDOXPmEBsby+OPP36VPwGRmikhLYeJC3ew4dg5AIa0D+LVEe3x8bT+7nNFREREqA5hpFu3bixatIjnn3+el19+maZNmzJ9+nTuv//+Mn3NZjNTp06lT58+uLq6lrS3b9+eFStWUL/+xf81dsuWLURGRpYsT5o0CYDRo0czb948AO655x7Onj3Lyy+/TEJCAu3atWPJkiWX3EIjUpst3ZPAc1/sJi2nAE9XC1OGteWuiJAqOXZLREREag/DwwjArbfeyq233lquvgMHDrxoe6dOnS75nH79+uFwOH537PHjxzN+/Phy1SFSG+UW2Hjlu338Z0PRMV0dQnx4+97ONPWvY3RpIiIiUgNVizAiItXfiZQsohdsY298OiYTPH7jdUy8qQWuLoafB0NERERqKIUREfld3+1K4LkvdpGZV4hfHVem39OJvi0aGF2WiIiI1HAKIyJySXmFNv7+3X7m/3wSgO5N/PjXfZ1p6ONudGkiIiLiBBRGROSiYs9mE71gG7vj0gAY3+86Jg1soSupi4iISJVRGBGRMpbuSeTZ/+0kI7cQX08r0+7pRGTLAKPLEhERESejMCIiJQptdt5YfpB3Vx0DoGuYL/8e2ZkgHw+jSxMREREnpDAiIgCczczjyc+2s+7IWQAe7duMZwe1xKrdskREROQqURgREXadTuXxj7cSn5aLp6uFN+7syJAOQUaXJSIiIk5OYUSklvvv5lP8+as95BfaaeZfh3dHRRAe6GV0WSIiIlILKIwYYObMmcycORObzWZ0KVKL5RXaeOmbfSzYWHQ19YFtAnnz7o54u1uNLk1ERERqCYURA0RHRxMdHU16ejo+Pj5GlyO1UEJaDn/4zzZ2nErFZIKnB7ZgfL/mmM0mo0sTERGRWkRhRKSW2XziHH/4z1ZSMvPx8bDy9r2d6KfT9oqIiIgBFEZEapGFm2P58+I9FNgctA7y5t0HImhc39PoskRERKSWUhgRqQUKbXb+vmQ/H647AcCQ9kG8cVcHPF31vwARERExjn6JiDi5tOwCnvh0G2sOpwAwaWAL/ti/OSaTjg8RERERYymMiDixo8mZjPtoC8dTsvCwWnjrno7c3E7XDxEREZHqQWFExEmtOpTMEwu2kZFbSKN6Hrz3YFfaBHsbXZaIiIhICYURESfjcDiYu/Y4ry7Zj90B3Zr4MvuBCPzruhldmoiIiEgpCiMiTiSv0MafF+3h862nAbinayh/u60dri5mo0sTERERKUNhRMRJpGbn8+jHW9l0/BxmE/x5SBvG9GqiA9VFRESk2lIYEXECJ1KyeHjeZo6lZFHXzYWZ93fhxhYNjC5LRERE5LIURkRquM0nzvHo/C2czy6gUT0PPnioGy0behldloiIiMjvUhgRqcG+2hHHs5/vIt9mp0OID++P7kqAl7vRZYmIiIiUi8KISA3kcDj4949HmBZzCIBBbQOZfk9nPFwtRpcmIiIiUm46xU4VGjFiBL6+vtx5551GlyJOLK/QxtOf7ywJIo/2bcbs+yMURERERKTGURipQk8++STz5883ugxxYqnZ+Tw4dxNfbovDYjbx9xHteOGW1pjNOmOWiIiI1DwV2k0rKyuLf/zjH/zwww8kJSVht9tLrT927FhV1VejREZG8tNPPxldhjipk2ezGPOhzpglIiIizqNCW0bGjRvH3Llz6dOnD0888QRPPfVUqVtFTZ06FZPJxIQJEyo8xsWsXr2aoUOHEhwcjMlkYvHixRftN2vWLJo2bYq7uzsRERGsWbOmSusQqagdp1K5fdZ6jqVk0aieB//7Qw8FEREREanxKrRl5Pvvv+e7776jV69eVVbI5s2bmTNnDh06dLhsv3Xr1tG9e3esVmup9gMHDlCvXj0aNmxY5jlZWVl07NiRMWPGcMcdd1x03IULFzJhwgRmzZpFr169ePfddxk8eDD79u2jcePGAERERJCXl1fmucuXLyc4OPgK37FI+fx44AzRn2wnp8BGu0befDC6GwHeOmOWiIiI1HwV2jLi6+uLn59flRWRmZnJ/fffz3vvvYevr+8l+9ntdqKjoxk5ciQ2m62k/dChQ0RGRl7yeI3BgwfzyiuvcPvtt19y7GnTpjF27FjGjRtH69atmT59OqGhocyePbukz9atW9mzZ0+Zm4KIXC2fbYrlkflbySmw0bdFAz57tIeCiIiIiDiNCoWRv/3tb/zlL38hOzu7SoqIjo5myJAh3HTTTZftZzabWbJkCdu3b+fBBx/Ebrdz9OhR+vfvz7Bhw5g8eXKFXj8/P5+tW7cSFRVVqj0qKor169dXaMzLmTlzJm3atKFbt25VPrY4B4fDwVsxh/jTl7ux2R3c0SWEuaO7UtdNZ+MWERER51GhXzZvvvkmR48eJTAwkCZNmpTZZWrbtm3lHuuzzz5j27ZtbN68uVz9g4OD+fHHH+nbty8jR47k559/ZsCAAbzzzjtX/D4uSElJwWazERgYWKo9MDCQxMTEco8zaNAgtm3bRlZWFiEhISxatOiigSM6Opro6GjS09Px8fGpcN3inAptdl5ctIeFW04B8Mf+zZk0sAUmk86YJSIiIs6lQmHktttuq5IXP3XqFE899RTLly/H3b38u540btyY+fPnc+ONN9KsWTPmzp1bJT/UfjuGw+G4onGXLVtW6RqkdsvOL+SJBdv58UASZhP87bZ23H99mNFliYiIiFwVFQojf/3rX6vkxbdu3UpSUhIRERElbTabjdWrVzNjxgzy8vKwWMpeyO3MmTM8+uijDB06lM2bNzNx4kT+/e9/V7gOf39/LBZLma0gSUlJZbaWiFwtKZl5jJ23mZ2n03C3mvn3fV0Y2EZ/fyIiIuK8DN0BfcCAAezevbtU25gxY2jVqhXPPffcRYNISkoKAwYMoHXr1nz++eccPnyYfv364ebmxj//+c8K1eHq6kpERAQxMTGMGDGipD0mJobhw4dXaEyRK3EiJYvRH27i5NlsfD2tvD+6GxFhlz6Zg4iIiIgzKHcY8fPz49ChQ/j7++Pr63vZ3ZfOnTtXrjG9vLxo165dqbY6depQv379Mu0Un03r5ptvJiwsjIULF+Li4kLr1q1ZsWIFkZGRNGrUiIkTJ5Z5XmZmJkeOHClZPn78ODt27MDPz6/ktL2TJk1i1KhRdO3alR49ejBnzhxiY2N5/PHHy/VeRCpq56lUHp63mbNZ+YT6efDRmO40a1DX6LJERERErrpyh5G33noLLy8vAKZPn341a7oks9nM1KlT6dOnD66uriXt7du3Z8WKFdSvX/+iz9uyZQuRkZEly5MmTQJg9OjRzJs3D4B77rmHs2fP8vLLL5OQkEC7du1YsmQJYWHaX1+unjWHk3ns461k5xdfQ+ShbgR46dS9IiIiUjuUO4yMHj36oo+r2k8//XTZ9QMHDrxoe6dOnS75nH79+uFwOH73tcePH8/48ePLUaVI5X27K56JC3dQYHPQJ9yf2Q9E6NS9IiIiUqtU+pdPTk4OBQUFpdq8vb0rO6yIU/t4w0n+8tUeHA64tUMQ0+7uhKtLhS77IyIiIlJjVejXT1ZWFk888QQBAQHUrVsXX1/fUjcRuTiHw8HbKw7zf4uLgsioG8J4+97OCiIiIiJSK1XoF9DkyZP58ccfmTVrFm5ubrz//vu89NJLBAcHM3/+/KqvUsQJ2O0Opny9l7dWHALgqQHhvDy8LRazLmYoIiIitVOFdtP65ptvmD9/Pv369ePhhx+mT58+NG/enLCwMD755BPuv//+qq9UpAbLL7TzzOc7+XpnPCYTTBnaltE9mxhdloiIiIihKrRl5Ny5czRt2hSKjw+5cCrf3r17s3r16qqtUKSGy84vZNz8LXy9Mx4Xs4np93RSEBERERGpaBhp1qwZJ06cAKBNmzb897//heItJvXq1avaCkVqsNTsfO5/fyOrDyXjYbXw/uiuDO/UyOiyRERERKqFCoWRMWPGsHPnTgCef/75kmNHJk6cyLPPPlvVNYrUSAlpOdz1zs9sj03Fx8PKf8ZdT7+WAUaXJSIiIlJtVOiYkV9f5TwyMpIDBw6wZcsWrrvuOjp27FiV9YnUSMeSMxk1dxNxqTk09HZn/tjutAj0MrosERERkWrlisJITk4OP/zwA7feeisUbxXJy8srWb9hwwZatmyJu7uuIC211774dEbN3cjZrHya+ddh/tjuhPh6Gl2WiIiISLVzRWFk/vz5fPvttyVhZMaMGbRt2xYPDw8ADhw4QFBQUKktJyK1ydaT5xnz4SbScwtpG+zNRw93x7+um9FliYiIiFRLV3TMyCeffMLDDz9cqm3BggWsXLmSlStX8sYbb5QczC5S26w7ksKouRtJzy2ka5gvCx65QUFERERE5DKuKIwcOnSIFi1alCy7u7tjNv8yRPfu3dm3b1/VVihSA8TsO8OYDzeTnW+jT7g/88d2x8fDanRZIiIiItXaFe2mlZaWhovLL09JTk4utd5ut5c6hkSkNvhqRxyT/rsTm93BoLaB/Ou+zri5WIwuS0RERKTau6ItIyEhIezZs+eS63ft2kVISEhV1CVSIyzYGMuEhTuw2R3c3rkRM0d2URARERERKacrCiO33HILf/nLX8jNzS2zLicnh5deeokhQ4ZUZX01yogRI/D19eXOO+80uhS5Bt5ddZQXFu3G4YBRN4Txz7s64mKp0KV7RERERGqlK/rl9MILL3Du3DlatmzJG2+8wVdffcXXX3/N66+/TsuWLTl//jwvvPDC1au2mnvyySeZP3++0WXIVeZwOHhz+UGmfn8AgD/0u46Xh7fFbDYZXZqIiIhIjXJFx4wEBgayfv16/vCHP/CnP/0Jh8MBgMlkYuDAgcyaNYvAwMCrVWu1FxkZyU8//WR0GXIV2e0OXv52H/PWnwDg2UEtiY5sbnRZIiIiIjXSFe9T0rRpU5YuXUpycjIbNmxgw4YNJCcns3TpUpo1a3bFBcyePZsOHTrg7e2Nt7c3PXr04Pvvv7/icS5n9erVDB06lODgYEwmE4sXL75ov1mzZtG0aVPc3d2JiIhgzZo1VVqH1Gw2u4PnvthVEkReHt5WQURERESkEiq8g7ufnx/du3ene/fu+Pn5VbiAkJAQ/vGPf7Blyxa2bNlC//79GT58OHv37r1o/3Xr1lFQUFCm/cCBAyQmJl70OVlZWXTs2JEZM2Zcso6FCxcyYcIEXnzxRbZv306fPn0YPHgwsbGxJX0iIiJo165dmVt8fHyF3rvUHPmFdp78dDufbz2N2QRv3tWRB3s0MbosERERkRrtinbTuhqGDh1aavnvf/87s2fPZsOGDbRt27bUOrvdTnR0NOHh4Xz22WdYLEVnLTp06BCRkZFMnDiRyZMnl3mNwYMHM3jw4MvWMW3aNMaOHcu4ceMAmD59OsuWLWP27NlMnToVgK1bt1b6/QLMnDmTmTNnYrPZqmQ8ubpyC2z84T9bWXkwGavFxL/v68zN7YKMLktERESkxqtWp/6x2Wx89tlnZGVl0aNHjzLrzWYzS5YsYfv27Tz44IPY7XaOHj1K//79GTZs2EWDSHnk5+ezdetWoqKiSrVHRUWxfv36Cr+fS4mOjmbfvn1s3ry5yseWqpWdX8i4j7aw8mAy7lYz74/upiAiIiIiUkUM3zICsHv3bnr06EFubi5169Zl0aJFtGnT5qJ9g4OD+fHHH+nbty8jR47k559/ZsCAAbzzzjsVfv2UlBRsNluZg+8DAwMvuevXxQwaNIht27aRlZVFSEgIixYtolu3bhWuS4yVmVfIwx9uZtOJc3i6WvjgoW7c0Ky+0WWJiIiIOI1qEUZatmzJjh07SE1N5YsvvmD06NGsWrXqkoGkcePGzJ8/nxtvvJFmzZoxd+5cTKbKn1b1t2M4HI4rGnfZsmWVrkGqh7ScAh76cBPbY1PxcnNh3sPdiAir+LFRIiIiIlJWtdhNy9XVlebNm9O1a1emTp1Kx44defvtty/Z/8yZMzz66KMMHTqU7OxsJk6cWKnX9/f3x2KxlNkKkpSUVKtPVVxbnc/K5/73N7A9NhUfDyufPHK9goiIiIjIVVAtwshvORwO8vLyLrouJSWFAQMG0Lp1a7788kt+/PFH/vvf//LMM89U+PVcXV2JiIggJiamVHtMTAw9e/as8LhS86Rk5nHfexvYE5eOXx1XPn3kBjqE1DO6LBERERGnZPhuWi+88AKDBw8mNDSUjIwMPvvsM3766SeWLl1apq/dbufmm28mLCyMhQsX4uLiQuvWrVmxYgWRkZE0atTooltJMjMzOXLkSMny8ePH2bFjB35+fjRu3BiASZMmMWrUKLp27UqPHj2YM2cOsbGxPP7441f5E5Dq4kx6LiPf28DR5CwaeLmxYNz1hAd6GV2WiIiIiNMyPIycOXOGUaNGkZCQgI+PDx06dGDp0qUMHDiwTF+z2czUqVPp06cPrq6uJe3t27dnxYoV1K9/8YOLt2zZQmRkZMnypEmTABg9ejTz5s0D4J577uHs2bO8/PLLJCQk0K5dO5YsWUJYWNhVeNdS3cSn5jDyvQ2cOJtNkI87Cx65gab+dYwuS0RERMSpGR5G5s6de0X9LxZSADp16nTJ5/Tr1w+Hw/G7Y48fP57x48dfUT1S8506l819723g9PkcQnw9+PSRGwj18zS6LBERERGnZ3gYETHSseRM7n9/IwlpuTSp78mCR24guJ6H0WWJiIiI1AoKI1JrHT6Twcj3N5KckUfzgLosGHc9Ad7uRpclIiIiUmsojEittC8+nQfmbuRcVj6tGnrxn3HX41/XzeiyRERERGoVhRGpdXadTmXU3E2k5RTQvpEP8x/ujm8d13I8U0RERESqksKI1CpbT57noQ82kZFXSOfG9Zg3pjs+HlajyxIRERGplRRGpNbYcuIcoz/YRFa+je5N/fjgoW7UddMUEBERETGKfolJrbDp+Dke+nAT2fk2el5Xn/dHd8XTVX/+IiIiIkbSrzFxehuOneXheZvJzrfRu7k/7z3YFQ9Xi9FliYiIiNR6CiPi1H4+WhREcgps9AkvCiLuVgURERERkepAYUSc1vojKTz80WZyC+zc2KIB746KUBARERERqUbMRhcgcjWsPZzCmHlFQSSypYKIiIiISHWkLSPidFYfSuaR+VvIK7QzoFUAsx7ogpuLgoiIiIhIdaMwIk7lp4NJPPrxVvIL7dzUOpCZ93dWEBERERGpphRGxGmsPJDEYx9vJd9mJ6pNIDNGdsHVRXsiioiIiFRXCiPiFH7Yf4Y//Gcb+TY7N7dtyL9HdsZqURARERERqc4URqTGi9l3hvGfbKXA5uCW9g15+14FEREREZGaQGFEarRlexN5YsE2CmwOhnQIYvo9nRRERERERGoIhRGpsZbuSeCJBdsptDsY1jGYaXd3xEVBRERERKTG0C83qZGW7E4gujiI3NZJQURERESkJtKWEalxvtkZz4SFO7DZHdzeuRFv3NURi9lkdFkiIiIicoUURqRG+WpHHBMX7sDugDu6hPD6nR0URERERERqKO3XIjXG1zvjS4LIXREKIiIiIiI1nbaMSI3wzc54Jny2HbsD7ukaytTb22NWEBERERGp0bRlRKq973YlMOFXW0QUREREREScg8JIFRoxYgS+vr7ceeedRpfiNL7fncCTn23HZndwZ0QIr93RQUFERERExEkojFShJ598kvnz5xtdhtNYuieBP35aFERu79JIQURERETEySiMVKHIyEi8vLyMLsMpFF1Zveg6IiM6N+KNO3X6XhERERFnY3gYmTp1Kt26dcPLy4uAgABuu+02Dh48WKWvsXr1aoYOHUpwcDAmk4nFixdftN+sWbNo2rQp7u7uREREsGbNmiqtQ8onZt8Zoj/ZRqHdwfBOwfxT1xERERERcUqGh5FVq1YRHR3Nhg0biImJobCwkKioKLKysi7af926dRQUFJRpP3DgAImJiRd9TlZWFh07dmTGjBmXrGPhwoVMmDCBF198ke3bt9OnTx8GDx5MbGxsSZ+IiAjatWtX5hYfH1+h9y5l/bD/DOM/2Uqh3cHQjsG8qSAiIiIi4rQMP7Xv0qVLSy1/+OGHBAQEsHXrVvr27Vtqnd1uJzo6mvDwcD777DMsFgsAhw4dIjIykokTJzJ58uQyrzF48GAGDx582TqmTZvG2LFjGTduHADTp09n2bJlzJ49m6lTpwKwdevWSr9fubQfD5zhD//ZRoHNwZAOQbx1d0dcLIbnZRERERG5SqrdL720tDQA/Pz8yqwzm80sWbKE7du38+CDD2K32zl69Cj9+/dn2LBhFw0i5ZGfn8/WrVuJiooq1R4VFcX69esr+E4ubebMmbRp04Zu3bpV+dg11cqDSTz+8TbybXaGtA/i7Xs6KYiIiIiIOLlq9WvP4XAwadIkevfuTbt27S7aJzg4mB9//JF169YxcuRI+vfvz4ABA3jnnXcq/LopKSnYbDYCAwNLtQcGBl5y16+LGTRoEHfddRdLliwhJCSEzZs3X7RfdHQ0+/btu+T62uang0k89vFW8m12BrdryPR7FUREREREagPDd9P6tSeeeIJdu3axdu3ay/Zr3Lgx8+fP58Ybb6RZs2bMnTsXk6nyxxX8dgyHw3FF4y5btqzSNdQ2qw8l8+jHW8kvtDOobSD/uq8zVgURERERkVqh2vzq++Mf/8jXX3/NypUrCQkJuWzfM2fO8OijjzJ06FCys7OZOHFipV7b398fi8VSZitIUlJSma0lUnXWHk7hkflbyC+0E9UmkH/f10VBRERERKQWMfyXn8Ph4IknnuDLL7/kxx9/pGnTppftn5KSwoABA2jdunXJc/773//yzDPPVLgGV1dXIiIiiImJKdUeExNDz549KzyuXNq6IymM/WgzeYV2bmodyIyRXXB1MfzPUURERESuIcN304qOjmbBggV89dVXeHl5lWyd8PHxwcPDo1Rfu93OzTffTFhYGAsXLsTFxYXWrVuzYsUKIiMjadSo0UW3kmRmZnLkyJGS5ePHj7Njxw78/Pxo3LgxAJMmTWLUqFF07dqVHj16MGfOHGJjY3n88cev+mdQ26w/+ksQGdAqgJn3d1YQEREREamFDA8js2fPBqBfv36l2j/88EMeeuihUm1ms5mpU6fSp08fXF1dS9rbt2/PihUrqF+//kVfY8uWLURGRpYsT5o0CYDRo0czb948AO655x7Onj3Lyy+/TEJCAu3atWPJkiWEhYVV4buVn4+e5eF5m8ktsBPZsgGzHuiCm4vF6LJERERExACGhxGHw3FF/QcOHHjR9k6dOl3yOf369SvX64wfP57x48dfUT1SfhuP/RJE+rVswOwHIhRERERERGox7Rsj18Sm4+cYM28zOQU2+rZowDsPROBuVRARERERqc0URuSq23LiHA99uInsfBt9wv2ZM0pBREREREQURuQq23ryPKM/KAoivZv7896DXRVERERERAQURuRq2nEqldEfbCIr30bP6+oriIiIiIhIKQojclXsiUtj1NyNZOYVckMzP+aO7oaHq4KIiIiIiPxCYUSq3L74dB6Yu5GM3EK6NfFVEBERERGRi1IYkSp16EwGD8zdSGp2AZ0b1+PDMd2p42b4GaRFREREpBpSGJEqcyQpk5HvbeRcVj4dQnyYN6Y7dRVEREREROQSFEakShxPyWLkextIycyjTZA38x/ujo+H1eiyRERERKQaUxiRSjt1LpuR720gKSOPloFe/Gfc9dTzdDW6LBERERGp5hRGpFLiUnO4d84GEtJyaR5Ql08euR6/OgoiIiIiIvL7FEakwhLTcrlvzgbiUnNo6l+HBeOux7+um9FliYiIiEgNoTAiFZKUnsvI9zYQey6bxn6eLHjkegK83Y0uS0RERERqEIURuWIpmXmMfH8jx1KyaFTPgwWPXE+Qj4fRZYmIiIhIDaMwIlfkXFY+D7y/kSNJmQT5uPPpIzcQ4utpdFkiIiIiUgMpjEi5pWYXBZEDiRkEeLmx4JEbaFxfQUREREREKkZhRMolPbeABz/YxL6EdPzrurLgkRto6l/H6LJEREREpAZTGJHflZlXyOgPNrHrdBp+dVz5ZNwNNA+oa3RZIiIiIlLDKYzIZWXnFzLmw01sj03Fx8PKf8ZeT8uGXkaXJSIiIiJOQGFELikn38bYeVvYfOI8Xu4u/Gfs9bQJ9ja6LBERERFxEgojclG5BTYe/XgLPx87S103F+Y/3J32IT5GlyUiIiIiTkRhRMrIK7Txh/9sZc3hFDxdLcwb043OjX2NLktEREREnIzCiJSSX2gn+pPtrDyYjLvVzAcPdaNrEz+jyxIRERERJ6QwIiUKbXae+mw7K/afwc3FzNzR3bihWX2jyxIRERERJ6UwIgDY7A4m/ncn3+9JxNVi5t1REfRq7m90WSIiIiLixBRGBJvdwbOf7+SbnfFYLSZmP9CFfi0DjC5LRERERJycwkgtZ7c7eOHL3Xy5PQ6L2cS/7+vCgNaBRpclIiIiIrWAwkgt5nA4+L+v9rBwyynMJnj73k7c3K6h0WWJiIiISC2hMFJLORwOXvpmH59sjMVkgml3d+LWDsFGlyUiIiIitYjCSC31+dbTzFt/AoDX7+jAbZ0bGV2SiIiIiNQyLkYXIMa4rVMjfth/hhtbBHBX11CjyxERERGRWkhhpJZydTHzzgMRmEwmo0sRERERkVpKu2nVYgoiIiIiImIkhRERERERETGEwoiIiIiIiBhCYURERERERAyhMCIiIiIiIoZQGBEREREREUPo1L4GcjgcAKSnpwNQUFBAdnY26enpWK1Wg6sTqXk0h0QqR3NIpOI0f0q78Pv2wu/dS1EYMVBGRgYAoaG66KCIiIiIOJ+MjAx8fHwuud7k+L24IleN3W4nPj4eLy8vTCYT6enphIaGcurUKby9vY0u75rr1q0bmzdvNrqMUq5VTVX9OlUxXkXHuNLnlbd/efppDmkOVZfxqtv8KW/f2jyHNH+qz/ypzBhGzqHaPH+4yOfjcDjIyMggODgYs/nSR4Zoy4iBzGYzISEhZdq9vb1r5R+xxWKpdu/7WtVU1a9TFeNVdIwrfV55+1/JuJpD1UdtnUPVbf5cad/aOIc0f6rP/KnMGNVhDtXG+cMlPp/LbRG5QAewS7URHR1tdAllXKuaqvp1qmK8io5xpc8rb//q+PdR3VTHz6i2zqHqNn8qMnZtUx0/n9o6fyozhuaQcSr6+Wg3rWokPT0dHx8f0tLSamWiFqkszSGRytEcEqk4zZ+K0ZaRasTNzY2//vWvuLm5GV2KSI2kOSRSOZpDIhWn+VMx2jIiIiIiIiKG0JYRERERERExhMKIiIiIiIgYQmFEREREREQMoTAiIiIiIiKGUBgRERERERFDKIzUYCNGjMDX15c777zT6FJEqr1vv/2Wli1bEh4ezvvvv290OSI1jr5zRCru1KlT9OvXjzZt2tChQwc+//xzo0uqNnRq3xps5cqVZGZm8tFHH/G///3P6HJEqq3CwkLatGnDypUr8fb2pkuXLmzcuBE/Pz+jSxOpMfSdI1JxCQkJnDlzhk6dOpGUlESXLl04ePAgderUMbo0w2nLSA0WGRmJl5eX0WWIVHubNm2ibdu2NGrUCC8vL2655RaWLVtmdFkiNYq+c0QqLigoiE6dOgEQEBCAn58f586dM7qsakFh5CpZvXo1Q4cOJTg4GJPJxOLFi8v0mTVrFk2bNsXd3Z2IiAjWrFljSK0i1V1l51N8fDyNGjUqWQ4JCSEuLu6a1S9iNH0niVROVc6hLVu2YLfbCQ0NvQaVV38KI1dJVlYWHTt2ZMaMGRddv3DhQiZMmMCLL77I9u3b6dOnD4MHDyY2NrakT0REBO3atStzi4+Pv4bvRMR4lZ1PF9sb1WQyXfW6RaqLqvhOEqnNqmoOnT17lgcffJA5c+Zco8prAIdcdYBj0aJFpdq6d+/uePzxx0u1tWrVyvGnP/3pisZeuXKl44477qiSOkVqgorMp3Xr1jluu+22knVPPvmk45NPPrlGFYtUL5X5TtJ3jkjF51Bubq6jT58+jvnz51+zWmsCbRkxQH5+Plu3biUqKqpUe1RUFOvXrzesLpGaqDzzqXv37uzZs4e4uDgyMjJYsmQJgwYNMqhikepF30kilVOeOeRwOHjooYfo378/o0aNMqjS6snF6AJqo5SUFGw2G4GBgaXaAwMDSUxMLPc4gwYNYtu2bWRlZRESEsKiRYvo1q3bVahYpPoqz3xycXHhzTffJDIyErvdzuTJk6lfv75BFYtUL+X9TtJ3jsjFlWcOrVu3joULF9KhQ4eS400+/vhj2rdvb0jN1YnCiIF+u8+6w+G4ov3YdTYgkV/83nwaNmwYw4YNM6AykZrh9+aQvnNELu9yc6h3797Y7XaDKqvetJuWAfz9/bFYLGW2giQlJZVJ1SJyeZpPIpWjOSRSOZpDlaMwYgBXV1ciIiKIiYkp1R4TE0PPnj0Nq0ukJtJ8EqkczSGRytEcqhztpnWVZGZmcuTIkZLl48ePs2PHDvz8/GjcuDGTJk1i1KhRdO3alR49ejBnzhxiY2N5/PHHDa1bpDrSfBKpHM0hkcrRHLqKjD6dl7NauXKlAyhzGz16dEmfmTNnOsLCwhyurq6OLl26OFatWmVozSLVleaTSOVoDolUjubQ1WNyXOxqYCIiIiIiIleZjhkRERERERFDKIyIiIiIiIghFEZERERERMQQCiMiIiIiImIIhRERERERETGEwoiIiIiIiBhCYURERERERAyhMCIiIiIiIoZQGBEREREREUMojIiIiIiIiCEURkRERERExBAKIyIiIiIiYgiFERERERERMYTCiIiIiIiIGEJhREREREREDOFidAG1md1uJz4+Hi8vL0wmk9HliIiIiIhUCYfDQUZGBsHBwZjNl97+oTBioPj4eEJDQ40uQ0RERETkqjh16hQhISGXXK8wYiAvLy8o/o/k7e1NQUEBy5cvJyoqCqvVanR5IjWO5pBI5WgOiVSc5k9p6enphIaGlvzevRSFEQNd2DXL29u7JIx4enri7e2tP2KRCtAcEqkczSGRitP8ubjfOxRBB7CLiIiIiIghFEZERERERMQQCiMiIiIiImIIhRERERERETGEwoiIiIiIiBhCYaSWKrDZmf3TUdYdSSE9t8DockRERESkFtKpfWupg4kZvLb0QMlyM/86dAjxoUNIPTqG+tAmyAcPV4uhNYqIiIiIc1MYqaUsZhNDOgSx63Qqp87lcCwli2MpWSzeEV+yvkWgFx2LA0qn0Hq0bOiFxXz5c0WLiIiIiJSXwsglFBYWMmXKFD755BMSExMJCgrioYce4s9//jNmc9HebQ6Hg5deeok5c+Zw/vx5rr/+embOnEnbtm2NLv93tQ7yZubILgCcy8pn1+lUdp1OY9fpVHaeTiM5I4/9CensT0jns82nAKjr5kLnxvWICPMlIsyXzo19qeumPyERERERqRj9kryE1157jXfeeYePPvqItm3bsmXLFsaMGYOPjw9PPfUUAK+//jrTpk1j3rx5tGjRgldeeYWBAwdy8OBBvLy8jH4L5eZXx5V+LQPo1zIAikNWYnouO09dCCep7DyVRmZeIWsOp7DmcAoAZhO0auhN1ya+JQElxNfT4HcjIiIiIjWFwsgl/PzzzwwfPpwhQ4YA0KRJEz799FO2bNkCxT/Yp0+fzosvvsjtt98OwEcffURgYCALFizgscceM7T+yjCZTAT5eBDk48HN7RoCYLM7OJiYwdaT59h68jxbTp7n9Pkc9iWksy8hnfk/nwQgxNeDG5rVp0ez+vS4rj7B9TwMfjciIiIiUl0pjFxC7969eeeddzh06BAtWrRg586drF27lunTpwNw/PhxEhMTiYqKKnmOm5sbN954I+vXr79oGMnLyyMvL69kOT09HYCCgoKS24Xl6ii8gQfhDRpxb9dGAJxJz2VbbGrJbV9CBqfP5/C/raf539bTADT28+CGpn50b+rHDU19CfR2N/hdiDOr7nNIpLrTHBKpOM2f0sr7OSiMXMJzzz1HWloarVq1wmKxYLPZ+Pvf/859990HQGJiIgCBgYGlnhcYGMjJkycvOubUqVN56aWXyrQvX74cT89fdm+KiYmp4ndzdXUGOjeGvEZwLMPE4TQTR9JNxGZC7LkcYs/F8d+tcQAEuDsI93HQul7RvbtO2CVXQU2bQyLVjeaQSMVp/hTJzs4uVz+FkUtYuHAh//nPf1iwYAFt27Zlx44dTJgwgeDgYEaPHl3Sz2QqfXYph8NRpu2C559/nkmTJpUsp6enExoaSlRUFN7e3hQUFBATE8PAgQOxWq1X8d1dGxm5hWw5eZ6Nx8+x4fg59iVkkJRrIinXxLoz4GI20aVxPfo0r0+fcH9aN/TCrLN1SSU42xwSudY0h0QqTvOntAt7AP0ehZFLePbZZ/nTn/7EvffeC0D79u05efIkU6dOZfTo0TRsWHQsxYUzbV2QlJRUZmvJBW5ubri5uZVpt1qtpf5of7tcU/lZrUS18yCqXTAAadkFbDx+lrVHUlh9KJkTZ7PZdOI8m06c580VR/Cv60qf8Ab0beFP3/AG1K9b9rMSKQ9nmUMiRtEcEqk4zZ8i5f0MFEYuITs7u+QUvhdYLBbsdjsATZs2pWHDhsTExNC5c2cA8vPzWbVqFa+99pohNVd3Pp5Woto2JKptUZA7eTaL1YeSWXUohfVHU0jJzGfR9jgWbY/DZIKIxr7c1CaQm1oHcl2DOpfc4iQiIiIiNZPCyCUMHTqUv//97zRu3Ji2bduyfft2pk2bxsMPPwzFu2dNmDCBV199lfDwcMLDw3n11Vfx9PRk5MiRRpdfI4TVr8OoHnUY1aMJ+YV2tp48z+rDyaw6mMy+hHS2FJ+16x/fH6Cpfx1uah3ATa0DiQjzxcViLscriIiIiEh1pjByCf/+97/5v//7P8aPH09SUhLBwcE89thj/OUvfynpM3nyZHJychg/fnzJRQ+XL19eo64xUl24upjpcV3R6YCfu7kV8ak5/HAgiRX7zvDz0bMcT8nivTXHeW/Ncep5WolsGcCgtoH0axmAu1VHwYuIiIjURAojl+Dl5cX06dNLTuV7MSaTiSlTpjBlypRrWlttEFzPg1E3hDHqhrCiiy0eSiZm/xl+PJBEanZBye5cnq4W+rcKYEj7IPq1DMDDVcFEREREpKZQGJFqr66bC4PbBzG4fRCFNjvbYlNZvjeR7/ckEpeaw7e7Evh2VwIeVgv9WxcFk0gFExEREZFqT2FEahQXi5nuxRdRfHFIa3aeTmPJ7gS+25VAXGoO3+0qenwhmIzo1Ii+LRrg6qJjTERERESqG4URqbFMJhOdQuvRKbQezw9uxa4LwWR3AqfP/xJMfD2t3NohmBFdGtE5tJ7OyiUiIiJSTSiMiFMwmUx0DK1Hx9B6/Kk4mHy1I56vd8aTkpnHxxtO8vGGk4TV9+S2To24rXMjmvrXMbpsERERkVpNYUSczq+DyQu3tGLd0bMs3h7Hsr2JnDybzds/HObtHw7TKbQe93QL5dYOQXi56+JEIiIiIteawog4NReLmRtbNODGFg3Izi8kZt8ZvtwWx5rDyew4lcqOU6m8/M0+bu0QxD3dQokI89VuXCIiIiLXiMKI1Bqeri4M79SI4Z0akZyRx+LtcXy2OZajyVl8vvU0n289zXUN6nBPt1Bu7xKCf103o0sWERERcWoKI1IrNfBy45G+zRjXpynbYs/z2aZTfLsrgaPJWby65ACvLz3ITa0DeeCGMHo1r6+tJSIiIiJXgcKI1Gomk4mIMD8iwvz4y9A2fLsrgYWbT7HjVCpL9yaydG8izRrU4cEbwrg9IgRvHVsiIiIiUmUURkSKeblbua97Y+7r3piDiRks2HiSL7bFcSw5iynf7OP1ZQcZ0bkRD/ZoQsuGXkaXKyIiIlLj6UpwIhfRsqEXLw1vx4YXBvC34W0JD6hLdr6NTzbGMmj6au5592eW7E6gwGY3ulQRERGRGktbRkQuo66bC6N6NOGBG8LYcOwc838+wfJ9Z9h4/Bwbj58j2MedMb2acm/3UJ0eWEREROQKOU0YSUtLY9GiRaxZs4YTJ06QnZ1NgwYN6Ny5M4MGDaJnz55Glyg1mMlkosd19elxXX0S0nJYsDGWTzfFEp+Wy9+X7OdfPxzm3u6hjOnVlOB6HkaXKyIiIlIj1PjdtBISEnjkkUcICgri5ZdfJisri06dOjFgwABCQkJYuXIlAwcOpE2bNixcuNDocsUJBPl48HRUS9Y+15/X7mhP84C6ZOQV8t6a4/R5fSVPfrqd3afTjC5TREREpNqr8VtGOnbsyIMPPsimTZto167dRfvk5OSwePFipk2bxqlTp3jmmWeueZ3ifNytFu7p1pi7IkJZdSiZOauP8fOxs3y9M56vd8ZzQzM/xvdrTp9wf50aWEREROQianwY2bt3Lw0aNLhsHw8PD+677z7uu+8+kpOTr1ltUjuYzSYiWwUQ2SqAPXFpvL/mGN/sSmDDsXNsOLaJDiE+REc2Z2DrQMxmhRIRERGRC2r8blq/F0Qq21/kSrRr5MP0ezuzZnIkY3o1wd1qZtfpNB77eCs3v72ar3bEUagzcImIiIiAM4SRX/voo4/47rvvSpYnT55MvXr16NmzJydPnjS0Nqldgut58NehbVn7XH/G97sOLzcXDp3J5KnPdjBg2io+2xRLfqFCiYiIiNRuThVGXn31VTw8is5k9PPPPzNjxgxef/11/P39mThxotHlSS3kX9eNyTe3Yu2f+vP0wBb4elo5eTabP325m35vrGTBxlhdq0RERERqLacKI6dOnaJ58+YALF68mDvvvJNHH32UqVOnsmbNGqPLk1rMx8PKHweEs/a5/vx5SGsCvNyIT8vlhUW76f/mT3y+5ZR23xIREZFax6nCSN26dTl79iwAy5cv56abbgLA3d2dnJwcg6sTgTpuLozr04zVkyP5v1vb4F/XlVPncnj2f7uIeqvomBKb3WF0mSIiIiLXhFOFkYEDBzJu3DjGjRvHoUOHGDJkCBSfcatJkyZGlydSwt1qYWzvpqyeHMnzg1vh62nlWEoWT322g5unr2bJ7gTsCiUiIiLi5JwqjMycOZMePXqQnJzMF198Qf369QHYunUr9913n9HliZTh6erCYzdex5rn+vNMVAu83V04nJTJ+E+2MXzmOtYdSTG6RBEREZGrpsZfZ+TX6tWrx4wZM8q0v/TSS4bUI1Jedd1ceKJ/OKN6NGHu2uPMXXOM3XFp3P/+Rvq2aMCfbm5Fm2Bvo8sUERERqVJOtWUEYM2aNTzwwAP07NmTuLg4AD7++GPWrl1rdGkiv8vHw8qkgS1YNTmSh3o2wcVsYvWhZIb8ew2TFu7g9Plso0sUERERqTJOFUa++OILBg0ahIeHB9u2bSMvLw+AjIwMXn31VaPLEyk3/7puTBnWlh+evpFbOwThcMCX2+Po/89V/P27faRm5xtdooiIiEilOVUYeeWVV3jnnXd47733sFqtJe09e/Zk27ZthtYmUhFh9eswY2QXvoruRY9m9cm32XlvzXH6vr6SuWuP6xolIiIiUqM5VRg5ePAgffv2LdPu7e1NamqqITWJVIWOofVY8Mj1zBvTjVYNvUjPLeRv3+5j0PTVrDyQZHR5IiIiIhXiVGEkKCiII0eOlGlfu3YtzZo1M6QmkapiMpno1zKA757sw9Tb21O/jivHkrMYM28zoz/YxJGkDKNLFBEREbkiThVGHnvsMZ566ik2btyIyWQiPj6eTz75hGeeeYbx48cbXZ5IlbCYTdzXvTErn+3Ho32bYbWYWHUomUHT1zDl672kZRcYXaKIiIhIuTjVqX0nT55MWloakZGR5Obm0rdvX9zc3HjmmWd44oknjC5PpEp5u1t54ZbW3Ne9MX//bj8r9p9h3voTLN4Rx6SBLRjZvTEuFqf69wYRERFxMk73S+Xvf/87KSkpbNq0iQ0bNpCcnMzf/vY3o8sSuWqa+tfh/dFd+Xhsd1oE1iU1u4C/fLWXYTPWsfXkeaPLExEREbkkpwsjAPHx8Zw9e5b27dtTt25dHA6H0SWJXHV9whuw5Mk+/G14W3w8rOxLSOeO2euZ/L+dnMvSqYBFRESk+nGqMHL27FkGDBhAixYtuOWWW0hISABg3LhxPP3000aXJ3LVuVjMjOrRhB+fvpG7u4YA8N8tp4n85098svEkdruCuYiIiFQfThVGJk6ciNVqJTY2Fk9Pz5L2e+65h6VLlxpam8i1VL+uG6/f2ZEv/tCDVg29SMsp4MVFexgxez27T6cZXZ6IiIgIOFsYWb58Oa+99hohISGl2sPDwzl58qRhdYkYJSLMj2//2Ju/3NqGum4u7DyVyrCZa/m/xXt01i0RERExnFOFkaysrFJbRC5ISUnBzc3tiseLi4vjgQceoH79+nh6etKpUye2bt1ast7hcDBlyhSCg4Px8PCgX79+7N27t9LvQ6QquVjMPNy7KT8+fSPDOwXjcMDHG04yYNoqluxO0DFVIiIiYhinCiN9+/Zl/vz5Jcsmkwm73c4bb7xBZGTkFY11/vx5evXqhdVq5fvvv2ffvn28+eab1KtXr6TP66+/zrRp05gxYwabN2+mYcOGDBw4kIwMXXxOqp8Ab3fevrczCx65nmYN6pCSmcf4T7bxyPytJKTlGF2eiIiI1EJOdZ2RN954g379+rFlyxby8/OZPHkye/fu5dy5c6xbt+6KxnrttdcIDQ3lww8/LGlr0qRJyWOHw8H06dN58cUXuf322wH46KOPCAwMZMGCBTz22GNV+M5Eqk7P6/xZ8mQfZq08wuxVR1mx/wwbjp3luZtbcv/1YZjNJqNLFBERkVrCqcJImzZt2LVrF7Nnz8ZisZCVlcXtt99OdHQ0QUFBVzTW119/zaBBg7jrrrtYtWoVjRo1Yvz48TzyyCMAHD9+nMTERKKiokqe4+bmxo033sj69esvGkby8vLIy8srWU5PTwegoKCg5HZhWeRqsgB/jGzGoDYNePGrfew4lcb/fbWXRdvjeGV4G8ID6hpdYoVoDolUjuaQSMVp/pRW3s/B5HCSHcYLCgqIiori3XffpUWLFpUez93dHYBJkyZx1113sWnTJiZMmMC7777Lgw8+yPr16+nVqxdxcXEEBweXPO/RRx/l5MmTLFu2rMyYU6ZM4aWXXirTvmDBgose6yJyLdgdsDbRxLexZvLsJiwmBwMbORjYyI6LU+3IKSIiItdKdnY2I0eOJC0tDW9v70v2c5owAtCgQQPWr19PeHh4pcdydXWla9eurF+/vqTtySefZPPmzfz8888lYSQ+Pr7UVpdHHnmEU6dOXfRUwhfbMhIaGkpKSgre3t4UFBQQExPDwIEDsVqtlX4PIlciIS2Xv36zj5UHUwC4rkEdpt7Wls6N6/3uc6sLzSGRytEcEqk4zZ/S0tPT8ff3/90w4lS7aT344IPMnTuXf/zjH5UeKygoiDZt2pRqa926NV988QUADRs2BCAxMbFUGElKSiIwMPCiY7q5uV30rF5Wq7XUH+1vl0Wuhcb+Vj54qDvf7U5gytd7OZqcxb3vb2Jcn2ZMGtgCd6vF6BLLTXNIpHI0h0QqTvOnSHk/A6cKI/n5+bz//vvExMTQtWtX6tSpU2r9tGnTyj1Wr169OHjwYKm2Q4cOERYWBkDTpk1p2LAhMTExdO7cueT1V61axWuvvVYl70fkWjOZTNzaIZjezf3527f7+WLbaeasPsaK/Wd4486ORIT5Gl2iiIiIOBGnCiN79uyhS5cuUBwcfs1kurIzBE2cOJGePXvy6quvcvfdd7Np0ybmzJnDnDlzSsabMGECr776KuHh4YSHh/Pqq6/i6enJyJEjq/BdiVx79TxdefPujtzSviHPf7mbY8lZ3PXO+hq5lURERESqL6cKIytXrqyysbp168aiRYt4/vnnefnll2natCnTp0/n/vvvL+kzefJkcnJyGD9+POfPn+f6669n+fLleHl5VVkdIkYa0DqQmIl+vPTtXr7cFqetJCIiIlKlnCqMVLVbb72VW2+99ZLrTSYTU6ZMYcqUKde0LpFrycfTyrS7O3FLuyBeWKStJCIiIlJ1nCqMjBgx4qK7Y5lMJtzd3WnevDkjR46kZcuWhtQnUpPd1CaQbk3KbiV5866OdG6srSQiIiJy5ZzqKgI+Pj78+OOPbNu2rSSUbN++nR9//JHCwkIWLlxIx44dr/hq7CJS5MJWkvcf7EqAlxvHkrO4852feSvmEAU2u9HliYiISA3jVGGkYcOGjBw5kmPHjvHFF1/w5ZdfcvToUR544AGuu+469u/fz+jRo3nuueeMLlWkRrupTSDLJ/ZlWMdgbHYHb/9wmDtnr+docqbRpYmIiEgN4lRhZO7cuUyYMAGz+Ze3ZTab+eMf/8icOXMwmUw88cQT7Nmzx9A6RZxBPU9X/nVfZ/51X2e83V3YeTqNIf9aw/yfT+BE11IVERGRq8ipwkhhYSEHDhwo037gwAFsNhsA7u7uV3yaXxG5tGEdg1k2sS+9m/uTW2DnL1/tZfSHmzmTnmt0aSIiIlLNOVUYGTVqFGPHjuWtt95i7dq1rFu3jrfeeouxY8fy4IMPArBq1Sratm1rdKkiTiXIx4P5D3dnytA2uLmYWX0omUHTV/PdrgSjSxMREZFqzKnOpvXWW28RGBjI66+/zpkzZwAIDAxk4sSJJceJREVFcfPNNxtcqYjzMZtNPNSrKb3D/Zm4cCe749KIXrCNmH3BvDS8HT4eVqNLFBERkWrGqbaMWCwWXnzxRRISEkhNTSU1NZWEhAReeOEFLJaiayE0btyYkJAQo0sVcVrNA7z4cnxPnuzfHLMJFu+I5+bpq/n56FmjSxMREZFqxqnCCMXHjaxYsYJPP/205NiQ+Ph4MjN1lh+Ra8VqMTMpqiX/+0NPmtT3JCEtl5Hvb+D1pQd0CmAREREp4VRh5OTJk7Rv357hw4cTHR1NcnIyAK+//jrPPPOM0eWJ1DpdGvvy3ZN9uLdbKA4HzPrpKHfOXs+JlCyjSxMREZFqwKnCyFNPPUXXrl05f/48Hh4eJe0jRozghx9+MLQ2kdqqjpsL/7ijA7Pv74KPh7XkFMBfbD2tUwCLiIjUck4VRtauXcuf//xnXF1dS7WHhYURFxdnWF0iAoPbB/H9U324vqkfWfk2nv58J099toP03AKjSxMRERGDOFUYsdvtJdcT+bXTp0/j5eVlSE0i8ovgeh4seOQGnh3UEovZxNc74xk8fQ1bT54zujQRERExgFOFkYEDBzJ9+vSSZZPJRGZmJn/961+55ZZbDK1NRIpYzCaiI5vzv8d70NjPk7jUHO5652feXnGYQh3cLiIiUqs4VRh56623WLVqFW3atCE3N5eRI0fSpEkT4uLieO2114wuT0R+pXNjX757sje3d26E3QFvrTjEvXM2cPp8ttGliYiIyDXiVBc9DA4OZseOHXz66ads27YNu93O2LFjuf/++0sd0C4i1YOXu5Vp93Sib4sG/HnxHracPM/gt9fw6oj2DO0YbHR5IiIicpU5VRgB8PDw4OGHH+bhhx82uhQRKafbOjciIsyXJz/bzvbYVP746XZWH0rmpeFt8XR1uv9NiYiISLEa/y3/9ddfl7vvsGHDrmotIlJxoX6efP5YD/71w2FmrDzC51tPsy32PDNGdqF1kLfR5YmIiMhVUOPDyG233VZq2WQylbl2wYUrsV/sTFsiUn24FF+5vcd1/kxYuJ2jyVkMn7mO/xvSmgduCCuZyyIiIuIcavwB7Ha7veS2fPlyOnXqxPfff09qaippaWl8//33dOnShaVLlxpdqoiUU4/r6vP9U33p3yqA/EI7//fVXv7wn22kZeuaJCIiIs6kxm8Z+bUJEybwzjvv0Lt375K2QYMG4enpyaOPPsr+/fsNrU9Eys+vjitzR3flg3Un+Mf3+1m6N5HdcWn8675ORIT5GV2eiIiIVIEav2Xk144ePYqPj0+Zdh8fH06cOGFITSJScSaTibG9m/LlH3oRVr/omiR3v7uBmSuPYLc7yjGCiIiIVGdOFUa6devGhAkTSEhIKGlLTEzk6aefpnv37obWJiIV1z7Eh2//2JvhnYKx2R28sewgD36wiaSMXKNLExERkUpwqjDywQcfkJSURFhYGM2bN6d58+Y0btyYhIQE5s6da3R5IlIJXu5Wpt/TiTfu7ICH1cLaIync8vYaVh1KNro0ERERqSCnOmakefPm7Nq1i5iYGA4cOIDD4aBNmzbcdNNNOguPiBMwmUzc1TWUzo19eWLBNg4kZjD6g008dmMznolqaXR5IiIicoWcKoxQ/GMlKiqKqKgoo0sRkaukeUBdFkf34u/f7efjDSd5d9UxNh47x7S72hldmoiIiFyBGr+b1meffVbuvqdOnWLdunVXtR4RuTbcrRb+dls73nmgC97uLuw4lcqwmRvYflZbQUVERGqKGh9GZs+eTatWrXjttdcueuretLQ0lixZwsiRI4mIiODcuXOG1CkiV8fN7YJY8lQfujSuR2ZeIfMOWfjzV/vIyddFTkVERKq7Gh9GVq1axT//+U9+/PFH2rVrh7e3N+Hh4bRv356QkBDq16/P2LFjadKkCXv27GHo0KFGlywiVSzE15OFj/Xg8b5NMeFg4ZbTDJ+5lkNnMowuTURERC7DKY4ZufXWW7n11ls5e/Ysa9eu5cSJE+Tk5ODv70/nzp3p3LkzZnONz10ichlWi5mnB4ZjTj7Cf095cOhMJsNmrOWvQ9tyb7dQncRCRESkGnKKMHJB/fr1GT58uNFliIiBWtZz8M2wHkz+ci9rDqfw/Je7WXskham3t8fb3Wp0eSIiIvIr2lwgIk7Hv64bH43pzp8Gt8LFbOK7XQkM+dcatseeN7o0ERER+RWFERFxSmazicdvvI7/Pt6DEF8PTp3L4a53fmb2T0ex2x1GlyciIiIKIyLi7Lo09uW7J/swpH0QhXYHry09wIMfbCIpPdfo0kRERGo9hRERcXo+HlZmjOzMa3e0x91qZu2RFG5+ew0rDyQZXZqIiEit5lRh5OWXXyY7O7tMe05ODi+//LIhNYlI9WAymbinW2O+/WNvWjX04lxWPmPmbeZv3+4jr1DXJBERETGCU4WRl156iczMzDLt2dnZvPTSSxUed+rUqZhMJiZMmFDS5nA4mDJlCsHBwXh4eNCvXz/27t1b4dcQkWujeYAXi6N78VDPJgDMXXuc22et51hy2f93iIiIyNXlVGHE4XBc9FoCO3fuxM/Pr0Jjbt68mTlz5tChQ4dS7a+//jrTpk1jxowZbN68mYYNGzJw4EAyMnSRNZHqzt1qYcqwtrz/YFd8Pa3sjU/n1n+v5fMtp3A4dHC7iIjIteIU1xnx9fXFZDJhMplo0aJFqUBis9nIzMzk8ccfv+JxMzMzuf/++3nvvfd45ZVXStodDgfTp0/nxRdf5Pbbbwfgo48+IjAwkAULFvDYY49ddLy8vDzy8vJKltPT0wEoKCgouV1YFpErd6Vz6MZwP76O7sGz/9vNhuPnefZ/u1h1MImXh7XBy90p/vcockX0PSRScZo/pZX3czA5nOCfAT/66CMcDgcPP/ww06dPx8fHp2Sdq6srTZo0oUePHlc87ujRo/Hz8+Ott96iX79+dOrUienTp3Ps2DGuu+46tm3bRufOnUv6Dx8+nHr16vHRRx9ddLwpU6ZcdHexBQsW4OnpecX1iUjVsDtgRZyJ70+ZsWOivpuDB8NtNPEyujIREZGaKTs7m5EjR5KWloa3t/cl+9X4f/rr0qULP/zwA76+vnz00Uc8/PDD1K1bt9LjfvbZZ2zbto3NmzeXWZeYmAhAYGBgqfbAwEBOnjx5yTGff/55Jk2aVLKcnp5OaGgoUVFReHt7U1BQQExMDAMHDsRq1ZWiRa5UZebQrcDo2FQmfr6LuNRc/r3PyoQBzXmkdxPM5rK7f4o4I30PiVSc5k9pF/YA+j01Pozs37+frKwsfH19Wb16NTk5OZUOI6dOneKpp55i+fLluLu7X7Lfb49PudQxKxe4ubnh5uZWpt1qtZb6o/3tsohcmYrOoe7XNWDJU315cdFuvt2VwD9jDvPz8XO8dXcnArwv/f8CEWej7yGRitP8KVLez6DGh5FOnToxZswYevfujcPh4I033rhkGPnLX/5SrjG3bt1KUlISERERJW02m43Vq1czY8YMDh48CMVbSIKCgkr6JCUlldlaIiI1i4+HlX/f15m+4Q3469d7WXfkLDe/vYY37+pIZKsAo8sTERFxKjU+jMybN4+//vWvfPvtt5hMJr7//ntcXMq+LZPJVO4wMmDAAHbv3l2qbcyYMbRq1YrnnnuOZs2a0bBhQ2JiYkqOGcnPz2fVqlW89tprVfTORMQoJpOJu7uF0iXMlz9+up39CemMmbeZh3o24U+DW+FutRhdooiIiFOo8WGkZcuWfPbZZwCYzWZ++OEHAgIq96+XXl5etGvXrlRbnTp1qF+/fkn7hAkTePXVVwkPDyc8PJxXX30VT09PRo4cWanXFpHqo3lAXRaN78k/vj/AvPUnmLf+BGuPpDD9nk60a+RTjhFERETkcmp8GPk1u91+zV5r8uTJ5OTkMH78eM6fP8/111/P8uXL8fLS6XdEnMmFa5L0a9mAZ/+3iyNJmYyYtY5JA1vyaN9mWHRwu4iISIXV+DDy9ddfM3jwYKxWK19//fVl+w4bNqzCr/PTTz+VWjaZTEyZMoUpU6ZUeEwRqTn6tQxg2YS+/OmLXSzfd4bXlh5g5cEkpt3dkRBfnZpbRESkImp8GLnttttITEwkICCA22677ZL9TCYTNpvtmtYmIs7Fr44r746K4PMtp5nyzV42HT/H4Olr+Ntt7bitcyOjyxMREalxzEYXUFl2u73kGBG73X7Jm4KIiFSFCwe3f/9UHzo3rkdGXiETFu7gyU+3k5atq+6KiIhciRofRkREjBBWvw6fP9aDSQNbYDGb+HpnPIPfXs36oylGlyYiIlJj1PjdtH7rhx9+4IcffiApKanMAe0ffPCBYXWJiPNxsZh5ckA4fcL9mbhwByfOZnP/+xt5pE8zno5qgZuLTgEsIiJyOU61ZeSll14iKiqKH374gZSUFM6fP1/qJiJyNXRu7Mt3T/bhvu6hOBwwZ/Uxhs9Yx564NKNLExERqdacasvIO++8w7x58xg1apTRpYhILVPHzYWpt3egf6tA/vTFLg4kZnDbzHU80b850ZHNsVqc6t9+REREqoRTfTvm5+fTs2dPo8sQkVpsYJtAlk3sy+B2DSm0O5i+4jAjZq3jYGKG0aWJiIhUO04VRsaNG8eCBQuMLkNEajn/um7Mur8Lb9/bCR8PK3vi0hn677XM+ukIhbZrd3FWERGR6q7G76Y1adKkksd2u505c+awYsUKOnTogNVqLdV32rRpBlQoIrWRyWRieKdG9GhWnxcW7WbF/iReX3qQ5XvP8M+7OtI8oK7RJYqIiBiuxoeR7du3l1ru1KkTAHv27CnVbjKZrmldIiIAAd7uvPdgV77YFsdL3+xlx6lUhvxrDc8OasmYXk2xmPX/JhERqb1qfBhZuXKl0SWIiFyWyWTizogQejWvz3Nf7Gb1oWRe+W4/y/Ym8todHWjWQFtJRESkdnKqY0Z+Kz09ncWLF3PgwAGjSxERIcjHg4/GdGPq7e2p42ph84nz3Pz2Gmb9dIQCHUsiIiK1kFOFkbvvvpsZM2YAkJOTQ9euXbn77rtp3749X3zxhdHliYhgMpm4r3tjlk3sS59wf/IL7by+9CC3zdR1SUREpPZxqjCyevVq+vTpA8CiRYtwOBykpqbyr3/9i1deecXo8kRESoT4ejL/4e68eVdH6nla2RufzvCZ6/jH9wfILbAZXZ6IiMg14VRhJC0tDT8/PwCWLl3KHXfcgaenJ0OGDOHw4cNGlyciUorJZOKOiBBiJt7IrR2CsNkdvLPqKIPfXsOGY2eNLk9EROSqc6owEhoays8//0xWVhZLly4lKioKgPPnz+Pu7m50eSIiF9XAy40ZI7vw3oNdCfR243hKFvfO2cDzX+4mPbfA6PJERESuGqcKIxMmTOD+++8nJCSE4OBg+vXrB8W7b7Vv397o8kRELmtgm0BiJt3IyOsbA/DpplgGTlvFkt0JOBwOo8sTERGpck4VRsaPH8+GDRv44IMPWLt2LWZz0dtr1qyZjhkRkRrB293KqyPa89mjN9Ckvidn0vMY/8k2HvpwMyfPZhldnoiISJVyqjACEBERwYgRI6hb95fz9g8ZMoRevXoZWpeIyJW4oVl9lk7oy5MDwnG1mFl1KJmot1bz7x8Ok1eoA9xFRMQ5OF0YERFxFu5WC5MGtmDphD70al6fvEI7b8YcYvDba1h/JMXo8kRERCpNYUREpJpr1qAu/xl7PW/f24kGXm4cS85i5PsbmfDZdpIz8owuT0REpMIURkREagCTycTwTo344ekbGd0jDJMJFu+Ip/+bP/HhuuO6gruIiNRICiMiIjWIt7uVl4a346voXrRv5ENGbiEvfbOPW95ew9rD2nVLRERqFqcLI2vWrOGBBx6gR48exMXFAfDxxx+zdu1ao0sTEakyHULqsTi6F6+OaI9fHVcOJ2XywNyNPDp/C7Fns40uT0REpFycKox88cUXDBo0CA8PD7Zv305eXtG+1BkZGbz66qtGlyciUqUsZhMjr2/Myqf7MaZXEyxmE8v3neGmt1bxxrIDZOUVGl2iiIjIZTlVGHnllVd45513eO+997BarSXtPXv2ZNu2bYbWJiJytfh4Wvnr0LZ8/1Qfejf3J7/QzsyVRxnw5ioWb4/TBRNFRKTacqowcvDgQfr27Vum3dvbm9TUVENqEhG5VloEevHx2O68OyqCUD8PEtNzmbBwB7fPXs+WE+eMLk9ERKQMpwojQUFBHDlypEz72rVradasmSE1iYhcSyaTiUFtGxIz8UaeHdQST1cL22NTufOdn3ns4y0cTc40ukQREZESThVGHnvsMZ566ik2btyIyWQiPj6eTz75hGeeeYbx48cbXZ6IyDXjbrUQHdmcn57px33dQzGbYNneM0S9tZr/W7yHlExdn0RERIznYnQBVWny5MmkpaURGRlJbm4uffv2xc3NjWeeeYYnnnjC6PJERK65AG93pt7egYd7NeUf3x/ghwNJfLzhJIu2x/H4jc0Y27sZHq4Wo8sUEZFayqm2jAD8/e9/JyUlhU2bNrFhwwaSk5P529/+ZnRZIiKGCg/0Yu5D3fj0kRto38iHzLxC/rn8EP3+uZKFm2Mp1EUTRUTEAE4XRgA8PT3p2rUrrVq1YsWKFezfv9/okkREqoUe19Xnq+hevH1vJxrV8+BMeh7PfbGbgW+t5qsdcdjtOvOWiIhcO04VRu6++25mzJgBQE5ODt26dePuu++mQ4cOfPHFF0aXJyJSLZjNJoZ3asQPT9/In4e0xq+OK8dTsnjqsx0MfnsNy/Ym6nTAIiJyTThVGFm9ejV9+vQBYNGiRdjtdlJTU/nXv/7FK6+8YnR5IiLVirvVwrg+zVg9OZJnolrg5e7CwTMZPPbxVobPXMeqQ8kKJSIiclU5VRhJS0vDz88PgKVLl3LHHXfg6enJkCFDOHz4sNHliYhUS3XdXHiifzhrJ/fnicjmeLpa2HU6jdEfbOKedzew/kiKQomIiFwVThVGQkND+fnnn8nKymLp0qVERUUBcP78edzd3a9orKlTp9KtWze8vLwICAjgtttu4+DBg6X6OBwOpkyZQnBwMB4eHvTr14+9e/dW6XsSEblWfDytPDOoJWsmRzKud1NcXcxsOnGOke9v5M53fmblwSSFEhERqVJOFUYmTJjA/fffT0hICMHBwfTr1w+Kd99q3779FY21atUqoqOj2bBhAzExMRQWFhIVFUVWVlZJn9dff51p06YxY8YMNm/eTMOGDRk4cCAZGRlV/t5ERK6V+nXd+POtbVj9bCSje4Th6mJm68nzjPlwM8NmrGPZ3kQd6C4iIlXCqa4zMn78eK6//npiY2MZOHAgZnNR1mrWrNkVHzOydOnSUssffvghAQEBbN26lb59++JwOJg+fTovvvgit99+OwAfffQRgYGBLFiwgMcee6wK35mIyLXX0Medl4a3IzqyOe+tOcZ/NsSyOy6Nxz7eSquGXjzRvzmD2wVhMZuMLlVERGoopwojABEREURERJRqGzJkSKXHTUtLAyg5JuX48eMkJiaW7AoG4Obmxo033sj69esvGkby8vLIy/vlqsfp6ekAFBQUlNwuLIvIldMcujp8PSxMjgpnbK8w5q0/yccbYzmQmMETC7bTzP8gD/dqwm0dg3Cz6uKJNZ3mkEjFaf6UVt7PweRwsh2AT58+zddff01sbCz5+fml1k2bNq1CYzocDoYPH8758+dZs2YNAOvXr6dXr17ExcURHBxc0vfRRx/l5MmTLFu2rMw4U6ZM4aWXXirTvmDBAjw9PStUm4jItZZdCKsSTKxKMJNjK9oq4mV10LehnV6BDupYja5QRESMlp2dzciRI0lLS8Pb2/uS/Zxqy8gPP/zAsGHDaNq0KQcPHqRdu3acOHECh8NBly5dKjzuE088wa5du1i7dm2ZdSZT6d0THA5HmbYLnn/+eSZNmlSynJ6eTmhoKFFRUXh7e1NQUEBMTAwDBw7EatW3uciV0hy6du4EMnIL+Xzraeb9HEtCWi7fnbKw8oyFO7s0YkzPMEJ8PYwuU66Q5pBIxWn+lHZhD6Df41Rh5Pnnn+fpp5/m5ZdfxsvLiy+++IKAgADuv/9+br755gqN+cc//pGvv/6a1atXExISUtLesGFDABITEwkKCippT0pKIjAw8KJjubm54ebmVqbdarWW+qP97bKIXBnNoWvDz2rlsX7hPNznOr7dFc+7q45xIDGD+Rti+WTTKW5pH8S43k3pGFrP6FLlCmkOiVSc5k+R8n4GTnU2rf379zN69GgAXFxcyMnJoW7durz88su89tprVzSWw+HgiSee4Msvv+THH3+kadOmpdY3bdqUhg0bEhMTU9KWn5/PqlWr6NmzZxW9IxGR6s9qMTOicwjfP9WH+Q93p3dzf2x2B9/sjGf4zHXcNnMdi7fHkV9oN7pUERGpZpwqjNSpU6fkAPHg4GCOHj1asi4lJeWKxoqOjuY///kPCxYswMvLi8TERBITE8nJyYHi3bMmTJjAq6++yqJFi9izZw8PPfQQnp6ejBw5sorfmYhI9WcymejbogH/GXc93z3ZmxGdG2G1mNhxKpUJC3fQ8x8/Mi3mEGfSc40uVUREqgmn2k3rhhtuYN26dbRp04YhQ4bw9NNPs3v3br788ktuuOGGKxpr9uzZACXXKrngww8/5KGHHgJg8uTJ5OTkMH78eM6fP8/111/P8uXL8fLyqsJ3JSJS87QN9uGtezrxwi2t+XRTLJ9sPMmZ9Dz+9cNhZq08wuD2QTzUM4wujX0veZydiIg4P6cKI9OmTSMzMxOKz1yVmZnJwoULad68OW+99dYVjVWek4yZTCamTJnClClTKlyziIgza+DlxpMDwvlDv+tYtjeRj9afYPOJ83yzM55vdsbTJsib+7qHMrxzI7zdtY+1iEht41RhpFmzZiWPPT09mTVrlqH1iIhIEavFzK0dgrm1QzB749OYv/4ki3fEsS8hnf/7ai9/X7KfIe2Dua97KBFh2loiIlJbOFUYuSA/P5+kpCTs9tIHSzZu3NiwmkREpEjbYB9eu7MDz9/Sii+3xfHZ5lgOncnki22n+WLbacID6nJPt1Du6BKCbx1Xo8sVEZGryKnCyKFDhxg7dizr168v1X7h2h82m82w2kREpLR6nq483LspY3o1YVtsKp9tiuXbXQkcTsrkle/28/rSgwxq15A7ujSid3N/XCxOdc4VERFxtjAyZswYXFxc+PbbbwkKCtJmfhGRGsBkMhER5ktEmC//N7QNX++I57PNseyJSy85tsS/rhu3dQpmRJdGtAny1v/fRUSchFOFkR07drB161ZatWpldCkiIlIB3u5WHrghjAduCGNPXBr/23qar3fGk5KZx/trj/P+2uO0DPTi9i6NGN6pEQ193I0uWUREKsGpwkibNm2u+HoiIiJSPbVr5EO7Rj68OKQ1qw4m8+X206zYl8TBMxlM/f4A/1h6gF7X+TOsYzCD2jbEx1Nn4xIRqWlqfBhJT08vefzaa68xefJkXn31Vdq3b1/mMvTe3t4GVCgiIpVhtZi5qU0gN7UJJC27gO92J7Bo+2k2nzjP2iMprD2SwouLd9O7uT9DOgQzsE0gPh4KJiIiNUGNDyP16tUrte+ww+FgwIABpfroAHYREefg42ll5PWNGXl9Y2LPZvPVjji+253AgcQMVh5MZuXBZKwWE33DGzCkQxA3tQnU9UtERKqxGh9GVq5caXQJIiJigMb1PfnjgHD+OCCcI0kZfLcrke92x3PoTCY/HEjihwNJuFrM9A73Z2CbQAa0DiDAS8eYiIhUJzU+jNx4441GlyAiIgZrHuDFUzd58dRN4Rw6k8F3uxL4dlc8R5Oz+PFAEj8eSMJkgs6h9RjYpiFRbQO5rkFdo8sWEan1anwYAcjOzubZZ59l8eLFFBQUcNNNN/Gvf/0Lf39/o0sTEZFrrEWgFy0GejHhpnAOnckkZl8iy/edYdfpNLbFprItNpXXlh6gWYM6DGwTSFSbQDqF+mIx63TBIiLXmlOEkb/+9a/MmzeP+++/H3d3dz799FP+8Ic/8PnnnxtdmoiIGMRkMtGyoRctG3rxRP9wEtNyidl/hph9Z/j5aArHkrN4d9Ux3l11DF9PK33CG9CvZQP6hDeggZeb0eWLiNQKThFGvvzyS+bOncu9994LwAMPPECvXr2w2WxYLBajyxMRkWqgoY87o24IY9QNYaTnFrDqYDIx+86w8mAS57ML+HpnPF/vjAegfSMfbmzRgBtbNqBzaD1d/V1E5CpxijBy6tQp+vTpU7LcvXt3XFxciI+PJzQ01NDaRESk+vF2tzK0YzBDOwZTaLOz/VQqPx1MYtWhZPbEpbM7Lo3dcWnMWHkEL3cX+oT706u5Pz2v86dJfU9dAV5EpIo4RRix2Wy4urqWanNxcaGwsNCwmkREpGZwsZjp1sSPbk38eHZQK5IycllzKIWfDiWz5nAyqdkFLNmdyJLdiQAE+bjTo1l9elxXn57N/WlUz8PotyAiUmM5RRhxOBw89NBDuLn9so9vbm4ujz/+OHXq1Clp+/LLLw2qUEREaooAL3fuiAjhjogQbHYHu06nsvpQCuuPprA9NpWEtFy+3B7Hl9vjAAir70nP6+rT4zp/bmjqR4C3Th8sIlJeThFGRo8eXabtgQceMKQWERFxHhazic6Nfenc2Jenbgont8DG1pPnWX80hfVHz7LrdBonz2Zz8mw2n246BcXhJCLMt3hriy/XNair3bpERC7BKcLIhx9+aHQJIiJSC7hbLfRqXnT8CEBGbgGbT5xj/ZGzrD96lv2J6SXh5MttRVtOfD2tRIT50rU4nLRr5IObi06uIiKCs4QRERERI3i5W+nfKpD+rQIBSM8tYNvJ82w9eZ7NJ86x41Qq57MLWLE/iRX7kwBwdTHTNtibjiH16BjqQ8eQejSpXwezrnMiIrWQwoiIiEgV8Xa30q9lAP1aBgCQX2hnb3xaSTjZcuI8Z7Py2R6byvbY1F89z4WOofWKA0o9Oob46NgTEakVFEZERESuElcXc8kxJ+P6NMPhcHDibDa7Tqey41QqO0+lsjc+nfTcQtYcTmHN4ZSS5wb5uNM22Ic2wd60DfamTZA3Ib4eOv5ERJyKwoiIiMg1YjKZaOpfh6b+dRjeqREABTY7BxMz2Hm6KJzsPJXG4aQMEtJySUjLZcX+MyXP93J3oU2QN22Kw0nbYB+aB9TF1UUXZRSRmklhRERExEBWi5l2jXxo18iH+68PAyArr5A9cWnsS0hnX3w6+xLSOXQmg4zcQjYeP8fG4+d+9XwTzQO8aBlYl/BAL8ID6tIi0ItQP08sOg5FRKo5hREREZFqpo6bC9c3q8/1zeqXtOUX2jmSlPmrgJLGvuJdvPYnpLM/Ib3UGG4uZpoH1CU8oCiktCgOKgopIlKdKIyIiIjUAK4u5qLds4K9IaKozeFwEJeaw/6EDA6dyeDwmQwOncnkaHImeYV29sansze+dEhxt5pp6l+Xpv6exbuM1S3Zdayu1Zj3JiK1l8KIiIhIDWUymQjx9STE15OBbQJL2m12B6fOZRcFlKTMkpByJDmT3AL7RbekAPh4uFDPYmFl9m6aBXiVhJSw+p54uSupiEjVUxgRERFxMhaziSb+dWjiX4eotr+02+wOYs9lczwlk2PJWZw4m8XxlCyOJ2cRn5ZLWk4haZg4uTMBSCg1Zj1PK6G+noT6eRDq60mInyehvh7FYcgDd6su5CgiV05hREREpJawmH85m1f/VqXX5eTbOHomjS9i1uLXuCWx53OLgkpKFmez8knNLiA1O43dcWkXHTvAy43Q4oAS6udJcD0PGvq4E+zjQVA9d7zcXHRaYhEpQ2FERERE8HC10LKhF53qO7jlxmZYrb/slpWZV8jp89mcOpfDqXPZnCp+XNSWTVa+jaSMPJIy8th68vxFx6/jaiGongdBPu7Ft+LH9TwI9nGnoY+7dgUTqYUURkREROSy6rq50KqhN60aepdZ53A4OJ9dUCqknDqfTWJaLvGpOSSm55KaXUBWvo0jSZkcScq85OvUcbXQwMuNAC93Gni70aCuGwEl9+4EeLnRwMsNP09XzDojmIhTUBgRERGRCjOZTPjVccWvjisdQ+tdtE92fiEJabm/BJS0XOLTcklIyylpS88tJCvfRtbZbE6czb7sa1rMJvzruhaFFi83ArzcSmq4cKtfxw2/uq7Ur+Oq41lEqjGFEREREbmqPF1duK5BXa5rUPeSfbLyCknKyCM5I4+kjFyS0vNIzsz71X0uyRl5nMvOx2Z3cCY9jzPpeeV6fQ+rpSig1C0OK57F98VhxdfTFR8PK/VK7q0KMCLXiMKIiIiIGK6OmwtN3Vxo6l/nsv0KbHbOZuaXhJbk4mNVzmXll9zOZuVzLquorcDmIKfARlxqDnGpOeWux9XFXBRMPKz4XLh5/vK4XvFyPQ9XvIvbvN1dqOvugofVooP1RcpJYURERERqDKvFTMPiA97B57J9HQ4HmXmFvwSUzHzOZf8qtGQWh5bsAtJzCkgrvtnsDvIL7SQXb6m5UmZT0XE2Xu5WvNxdqOtWFFK83K3F7S5l7i+sq+vugpebC55uRaHGomNjxMkpjIiIiIhTMplMxYHASlj9y29xueBCgLkQTNKyfwkpqb8KLKXb80nLLiAzrxC7A+wOSM8tJD23sNLvwc3FTJ3iYFLHzYKHqwt1XC14uv7y2MPVQh1Xl+J7C54XHrtZ8LC6UMetqL+biwV3qwV3qxl3qwWrxVzp+kQqS2FEREREpNivA0yI75U91+Eo2iUsM7eQjLxCMnILycwtJDOvgIzc4uW8olvRclGAycwt22Z3FI2ZV2gnrzD/qrxXi9mEm0tRMHEvvne7EFZcfgktFwLMb8PMhee4Wy24uphxtZiL7l3MWC1m3Iofu1rMWH+13q14vbb6CAojlTdr1izeeOMNEhISaNu2LdOnT6dPnz5GlyUiIiLXmMlkwtPVBU9XFwIqMY7D4SCv0E52vo3s/MLiexvZeUWPs/ILycm3kZVvI+fX6/MLi9tsZOUVklNQfJ9vI7vARm6BjdwCe8nr2OyOkucawWI2lQSUsuHF9KtwY8HVYvplncWMi8WM1WLCxVx0bzGbitou3FtMuJR6bMbFYip6rtlUEoZ+2+byqzF/PZ6LxYTVXPwcs0mnlq5CCiOVsHDhQiZMmMCsWbPo1asX7777LoMHD2bfvn00btzY6PJERESkBjKZTCVbHPzquFbp2BeCTl6BndzCXwJK7oWwUvjL44v1yStZX7Qur/hxXqGNfFvRsTb5hTbybXYKCh3k2+zFbXbybfZStdjsDnLsNnIKjAlDlWEygcVUFEpczKbix2ArsPDK7p+wFAeXUrdf9f/t81zMZsxmExYTxc+l+HlmLCZ+6W82YTb9MobFZMJiKb43mzCZLjwu+jtytZh5pG8zoz+uy1IYqYRp06YxduxYxo0bB8D06dNZtmwZs2fPZurUqWX65+XlkZf3y4Fw6enpABQUFJTcLiyLyJXTHBKpHM2h2sECeFrB02oBj2t3CmOHw0GB7ZeAUmCzFz92FD0utJdeV3ixvnYKbEX9C+0OCm0OCu1FbYV2OzZ70Wv8tr1o+TfPu/DYXvS44FfjFdocxcv2kl3mSr8XKHQUHSBUeic6E5mZV2e3uopwdTHzUI9QQ167vP8fMTkcjot8xPJ78vPz8fT05PPPP2fEiBEl7U899RQ7duxg1apVZZ4zZcoUXnrppTLtCxYswNPT86rXLCIiIiJX5sJJCWzFN/uvb79a76BoveOi603Yi0NMSR8uPlZJn0usL+pjwkbZ13L8+t5RdGa3e6+zl+NdVr3s7GxGjhxJWloa3t7el+ynLSMVlJKSgs1mIzAwsFR7YGAgiYmJF33O888/z6RJk0qW09PTCQ0NJSoqCm9vbwoKCoiJiWHgwIFYrdar/h5EnI3mkEjlaA6JVJzmT2kX9gD6PQojlfTbixo5HI5LXujIzc0NNze3Mu1Wq7XUH+1vl0XkymgOiVSO5pBIxWn+FCnvZ6ATTFeQv78/FoulzFaQpKSkMltLRERERESkLIWRCnJ1dSUiIoKYmJhS7TExMfTs2dOwukREREREagrtplUJkyZNYtSoUXTt2pUePXowZ84cYmNjefzxx40uTURERESk2lMYqYR77rmHs2fP8vLLL5OQkEC7du1YsmQJYWFhRpcmIiIiIlLtKYxU0vjx4xk/frzRZYiIiIiI1DgKIwa6cImXX1/8MDs7m/T0dJ2FQaQCNIdEKkdzSKTiNH9Ku/D79vcuaagwYqCMjAwAQkONuTKmiIiIiMjVlJGRgY+PzyXX6wrsBrLb7cTHx+Pl5YXJZCq5COKpU6cue6VKZ9WtWzc2b95sdBmlXKuaqvp1qmK8io5xpc8rb//y9NMc0hyqLuNVt/lT3r61eQ5p/lSf+VOZMYycQ7V5/nCRz8fhcJCRkUFwcDBm86VP4KstIwYym82EhISUaff29q6Vf8QWi6Xave9rVVNVv05VjFfRMa70eeXtfyXjag5VH7V1DlW3+XOlfWvjHNL8qT7zpzJjVIc5VBvnD5f4fC63ReQCXWdEqo3o6GijSyjjWtVU1a9TFeNVdIwrfV55+1fHv4/qpjp+RrV1DlW3+VORsWub6vj51Nb5U5kxNIeMU9HPR7tpVSPp6en4+PiQlpZWKxO1SGVpDolUjuaQSMVp/lSMtoxUI25ubvz1r3/Fzc3N6FJEaiTNIZHK0RwSqTjNn4rRlhERERERETGEtoyIiIiIiIghFEZERERERMQQCiMiIiIiImIIhRERERERETGEwoiIiIiIiBhCYaQGGzFiBL6+vtx5551GlyJS7X377be0bNmS8PBw3n//faPLEalx9J0jUnGnTp2iX79+tGnThg4dOvD5558bXVK1oVP71mArV64kMzOTjz76iP/9739GlyNSbRUWFtKmTRtWrlyJt7c3Xbp0YePGjfj5+RldmkiNoe8ckYpLSEjgzJkzdOrUiaSkJLp06cLBgwepU6eO0aUZTltGarDIyEi8vLyMLkOk2tu0aRNt27alUaNGeHl5ccstt7Bs2TKjyxKpUfSdI1JxQUFBdOrUCYCAgAD8/Pw4d+6c0WVVCwojV8nq1asZOnQowcHBmEwmFi9eXKbPrFmzaNq0Ke7u7kRERLBmzRpDahWp7io7n+Lj42nUqFHJckhICHFxcdesfhGj6TtJpHKqcg5t2bIFu91OaGjoNai8+lMYuUqysrLo2LEjM2bMuOj6hQsXMmHCBF588UW2b99Onz59GDx4MLGxsSV9IiIiaNeuXZlbfHz8NXwnIsar7Hy62N6oJpPpqtctUl1UxXeSSG1WVXPo7NmzPPjgg8yZM+caVV4DOOSqAxyLFi0q1da9e3fH448/XqqtVatWjj/96U9XNPbKlSsdd9xxR5XUKVITVGQ+rVu3znHbbbeVrHvyyScdn3zyyTWqWKR6qcx3kr5zRCo+h3Jzcx19+vRxzJ8//5rVWhNoy4gB8vPz2bp1K1FRUaXao6KiWL9+vWF1idRE5ZlP3bt3Z8+ePcTFxZGRkcGSJUsYNGiQQRWLVC/6ThKpnPLMIYfDwUMPPUT//v0ZNWqUQZVWTy5GF1AbpaSkYLPZCAwMLNUeGBhIYmJiuccZNGgQ27ZtIysri5CQEBYtWkS3bt2uQsUi1Vd55pOLiwtvvvkmkZGR2O12Jk+eTP369Q2qWKR6Ke93kr5zRC6uPHNo3bp1LFy4kA4dOpQcb/Lxxx/Tvn17Q2quThRGDPTbfdYdDscV7ceuswGJ/OL35tOwYcMYNmyYAZWJ1Ay/N4f0nSNyeZebQ71798ZutxtUWfWm3bQM4O/vj8ViKbMVJCkpqUyqFpHL03wSqRzNIZHK0RyqHIURA7i6uhIREUFMTEyp9piYGHr27GlYXSI1keaTSOVoDolUjuZQ5Wg3raskMzOTI0eOlCwfP36cHTt24OfnR+PGjZk0aRKjRo2ia9eu9OjRgzlz5hAbG8vjjz9uaN0i1ZHmk0jlaA6JVI7m0FVk9Om8nNXKlSsdQJnb6NGjS/rMnDnTERYW5nB1dXV06dLFsWrVKkNrFqmuNJ9EKkdzSKRyNIeuHpPjYlcDExERERERucp0zIiIiIiIiBhCYURERERERAyhMCIiIiIiIoZQGBEREREREUMojIiIiIiIiCEURkRERERExBAKIyIiIiIiYgiFERERERERMYTCiIiIiIiIGEJhREREDNWkSROmT59+VcZet24d7dv/f3t3HhJV98YB/DsuuaS2b5hZFk5T6VhILgVmKVYUSRoliZoa2V4yVGKLoCUGplRvCS4zTVgkFZXaYppGZiEW02LSH2YLZWQ1EW3i6Hn/eb2/380srbd3Ar8fGLjnnOee+5z71zxz7sx4wNraGqGhob/lGkRE9PNYjBAR9VE1NTWwtLTE3LlzzZ3Kb5OYmAgvLy80NTVBp9OZOx0iIvoKixEioj6qoKAA69evR3V1NZ4+fWrudH5ae3s7Ojo6vjnW2NiI2bNnY/To0Rg4cGCXcSEETCbTf5AlERF9C4sRIqI+6OPHjygqKsLq1auxYMGCLrsGVVVVUCgUqKiogLe3N+zt7eHv74+HDx/K4tLS0jB8+HA4OjoiPj4e27Ztg5eXlzQ+a9YsbNq0SXZOaGgoYmJius1t37598PDwQP/+/eHi4oI1a9bgw4cP0rhOp8PAgQNRUlKCSZMmwcbGBk+ePJHN8fjxYygUCrx58waxsbFQKBTQ6XTSui5dugRvb2/Y2Njg2rVrEEJg7969cHNzg52dHdRqNU6ePCmb8/z583B3d4ednR0CAwOh0+mgUCjw7t07AEBKSops7QCQnZ2NsWPHyvq0Wi1UKhVsbW0xceJEHDp0qEvep0+fRmBgIOzt7aFWq3Hjxg3ZHNevX0dAQADs7e0xaNAghISEwGg0Qq/XY8iQIWhtbZXFh4WFISoqqtt7TkRkLixGiIj6oBMnTkCpVEKpVCIyMhJarRZCiC5xycnJyMzMRF1dHaysrBAbGyuNFRYWYvfu3cjIyMCtW7cwZswYHD58+Jdzs7CwwP79+3H//n0cOXIEV65cwZYtW2Qxnz59Qnp6OvLy8lBfX4/hw4fLxl1cXNDc3AwnJydkZ2ejubkZS5culca3bNmC9PR0NDQ0wNPTE9u3b4dWq8Xhw4dRX1+PzZs3IzIyElevXgUAPHv2DIsXL8b8+fNhMBikwqu3cnNzkZycjN27d6OhoQF79uzBjh07cOTIEVlccnIyNBoNDAYD3N3dERERIe3gGAwGzJkzB5MnT8aNGzdQXV2NhQsXor29HUuWLEF7ezvOnTsnzfX69WuUlJRgxYoVvc6XiOi3E0RE1Of4+/uL7OxsIYQQbW1tYujQoeLy5cvSeGVlpQAgysvLpb7S0lIBQHz+/FkIIYSPj49Yu3atbN4ZM2YItVottQMCAsTGjRtlMYsWLRLR0dFS29XVVWRlZXWba1FRkRgyZIjU1mq1AoAwGAw/XOeAAQOEVqvtsq4zZ85IfR8+fBC2traipqZGdm5cXJyIiIgQQgiRlJQkVCqV6OjokMa3bt0qAAij0SiEEGLXrl2ytQshRFZWlnB1dZXaLi4u4tixY7KY1NRU4efnJ4QQoqmpSQAQeXl50nh9fb0AIBoaGoQQQkRERIgZM2Z0u+bVq1eLefPmSe3s7Gzh5uYmy52I6E/BnREioj7m4cOHqK2txbJlywAAVlZWWLp0KQoKCrrEenp6SsejRo0CALx69UqaZ/r06bL4r9s/o7KyEsHBwXB2doajoyOioqLw5s0bfPz4UYrp16+fLLfe8vb2lo4fPHiAL1++IDg4GA4ODtJLr9ejsbERANDQ0ABfX18oFArpPD8/v15ds6WlBc+ePUNcXJzsOmlpadJ1On3vvnfujHRn5cqVKCsrw/Pnz4F/HguLiYmR5U5E9KewMncCRET038rPz4fJZIKzs7PUJ4SAtbU1jEYjBg0aJPVbW1tLx51vZv//y+Jfv8H9+lEvCwuLLn1tbW3d5vbkyRPMnz8fCQkJSE1NxeDBg1FdXY24uDjZeXZ2dr/05rp///7Sced6SktLZfcEAGxsbL65rm/50Vo7r5ObmwsfHx9ZnKWlpaz9vftuZ2f33TymTp0KtVoNvV6PkJAQ3Lt3D8XFxT/Mn4jIHLgzQkTUh5hMJuj1emRmZsJgMEivO3fuwNXVFYWFhT2eS6lUora2VtZXV1cnaw8bNgzNzc1Su729Hffv3+92zrq6OphMJmRmZsLX1xfu7u548eJFr9bYW51fgn/69CkmTJgge7m4uEgxN2/elJ33dXvYsGF4+fKlrCAxGAzS8YgRI+Ds7IxHjx51uc64ceN6nK+npycqKiq+GxMfHw+tVouCggIEBQVJ6yAi+tNwZ4SIqA8pKSmB0WhEXFwcBgwYIBsLDw9Hfn4+1q1b16O51q9fj5UrV8Lb2xv+/v44ceIE7t69Czc3Nylm9uzZSExMRGlpKcaPH4+srCzp16e+Zfz48TCZTDhw4AAWLlyI69evIycn5xdW/GOOjo7QaDTYvHkzOjo6MHPmTLx//x41NTVwcHBAdHQ0EhISkJmZicTERKxatQq3bt3q8gtks2bNQktLC/bu3Yvw8HBcvHgRFy5cgJOTkxSTkpKCDRs2wMnJCfPmzUNrayvq6upgNBqRmJjYo3yTkpLg4eGBNWvWICEhAf369UNlZSWWLFmCoUOHAgCWL18OjUaD3Nxc6PX6f/mOERH9e7gzQkTUh+Tn5yMoKKhLIYJ/fv7VYDDg9u3bPZpr+fLlSEpKgkajwbRp09DU1ISYmBjY2tpKMbGxsYiOjkZUVBQCAgIwbtw4BAYGdjunl5cX9u3bh4yMDEyZMgWFhYVIT0//ydX2XGpqKnbu3In09HSoVCqEhISguLhY2rEYM2YMTp06heLiYqjVauTk5GDPnj2yOVQqFQ4dOoS//voLarUatbW10Gg0spj4+Hjk5eVBp9PBw8MDAQEB0Ol0vdoZcXd3R1lZGe7cuYPp06fDz88PZ8+ehZXV/z5fdHJyQlhYGBwcHPjP80T0R1OInjwIS0RE1APBwcEYOXIkjh49au5UfruqqioEBgbCaDR+8w8VzS04OBgqlQr79+83dypERN3iY1pERPRTPn36hJycHISEhMDS0hLHjx9HeXk5Ll++bO7U+rS3b9+irKwMV65cwcGDB82dDhHRd7EYISKin6JQKHD+/HmkpaWhtbUVSqUSp06dQlBQkLlT69OmTZsGo9GIjIwMKJVKc6dDRPRdfEyLiIiIiIjMgl9gJyIiIiIis2AxQkREREREZsFihIiIiIiIzILFCBERERERmQWLESIiIiIiMgsWI0REREREZBYsRoiIiIiIyCxYjBARERERkVn8DdFLxrvJMlvBAAAAAElFTkSuQmCC", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "w_filter = 1\n", - "mag = lambda w: w / np.sqrt(w_filter**2 + w**2)\n", - "arg = lambda w: np.arctan(w_filter / w)\n", - "bode(mag, arg)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "4291ad50", - "metadata": {}, - "source": [ - "### A second-order system as a filter\n", - "\n", - "Starting from\n", - "\\begin{align}\n", - "H(s) = \\frac{1}{s^2 + 2 \\zeta \\omega s + \\omega^2}\n", - "\\end{align}\n", - "(see above) we can derive\n", - "\\begin{align}\n", - "|H(i\\phi)| &= \\frac{1}{\\sqrt{(\\omega^2 - \\phi^2)^2 + (2\\zeta\\omega\\phi)^2}} \\\\\n", - "\\angle H(i\\phi) &= \\operatorname{atan2} \\left(2\\zeta\\omega\\phi, \\omega^2 + \\phi^2 \\right)\n", - "\\end{align}" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "070f51b8", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "w_filter = 1\n", - "mag = lambda w, zeta: 1 / np.sqrt((w_filter**2 - w**2)**2 + (2*zeta*w_filter*w)**2)\n", - "arg = lambda w, zeta: np.arctan2(-2*zeta*w*w_filter, w_filter**2 - w**2)\n", - "w_hi = 100\n", - "axes = bode(mag, arg, hi=w_hi, zeta=2)\n", - "axes = bode(mag, arg, axes, hi=w_hi, zeta=1)\n", - "axes = bode(mag, arg, axes, hi=w_hi, zeta=0.5)\n", - "axes = bode(mag, arg, axes, hi=w_hi, zeta=0.3)\n", - "axes = bode(mag, arg, axes, hi=w_hi, zeta=0.1)\n", - "plt.show()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.13.11" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorial/appendix-a/README.md b/tutorial/appendix-a/README.md deleted file mode 100644 index 40a60fa..0000000 --- a/tutorial/appendix-a/README.md +++ /dev/null @@ -1,10 +0,0 @@ -# Appendix A: Electronics - -1. Ideal op amps [![github](../img/github.svg)](1-op-amp.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/appendix-a/1-op-amp.ipynb) -2. Laplace transforms and filters [![github](../img/github.svg)](2-laplace-and-filters.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/appendix-a/2-laplace-and-filters.ipynb) -3. Non-ideal op amps [![github](../img/github.svg)](3-non-ideal-op-amp.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/appendix-a/3-non-ideal-op-amp.ipynb) -4. Bessel low-pass filters [![github](../img/github.svg)](4-bessel-filters.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/appendix-a/4-bessel-filters.ipynb) -5. Bessel filter ODEs [![github](../img/github.svg)](5-bessel-filter-odes.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/appendix-a/5-bessel-filter-odes.ipynb) -6. Stimulus filter [![github](../img/github.svg)](6-stimulus-filter.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/appendix-a/6-stimulus-filter.ipynb) - -[↩ Back to the tutorial index](../README.md) diff --git a/tutorial/appendix-b/README.md b/tutorial/appendix-b/README.md deleted file mode 100644 index 3c3743e..0000000 --- a/tutorial/appendix-b/README.md +++ /dev/null @@ -1,6 +0,0 @@ -# Appendix B: Extended models - -1. Models without compensation [![github](../img/github.svg)](1-uncompensated-models.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/appendix-b/1-uncompensated-models.ipynb) -2. Sigworth 1983/1995 Rs compensation [![github](../img/github.svg)](2-sigworth-rs.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/appendix-b/2-sigworth-rs.ipynb) - -[↩ Back to the tutorial index](../README.md) diff --git a/tutorial/appendix-c/README.md b/tutorial/appendix-c/README.md deleted file mode 100644 index 1f528bf..0000000 --- a/tutorial/appendix-c/README.md +++ /dev/null @@ -1,7 +0,0 @@ -# Appendix C: Parameter names and values - -1. Names & symbols [![github](../img/github.svg)](1-symbols.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/appendix-c/1-symbols.ipynb) -2. Default parameter values used in examples [![github](../img/github.svg)](2-parameter-defaults.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/appendix-c/2-parameter-defaults.ipynb) -3. Parameter values, estimates for different amplifiers etc. [![github](../img/github.svg)](3-parameter-values.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/appendix-c/3-parameter-values.ipynb) - -[↩ Back to the tutorial index](../README.md) diff --git a/tutorial/appendix-d/1-strategies.ipynb b/tutorial/appendix-d/1-strategies.ipynb deleted file mode 100644 index d01d516..0000000 --- a/tutorial/appendix-d/1-strategies.ipynb +++ /dev/null @@ -1,134 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Appendix D1: Strategies for dealing with experimental error\n", - "**Appendix D discusses remaining noise and errors**" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In this notebook we provide a high-level overview of noise, artefacts, and imperfect control, and discuss general strategies for dealing with them." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Noise and artefacts\n", - "\n", - "The term \"noise\" can mean many things, but in patch-clamp experiments is typically used to mean unwanted _stochastic_ or _periodic_ signals that are present in the applied input, the measured output, or both.\n", - "The term \"artefacts\" (or \"artifacts\") is sometimes used to describe _transient_ signals that appear in the output but are due to the experimental setup rather than the biology." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Imperfect control\n", - "\n", - "Many artefacts in patch clamp data arise not as a distortion of the recorded signal, but through _imperfect control_ of the membrane potential.\n", - "A major part of the \"artefact model\" described here deals with such issues of imperfect membrane potential control.\n", - "\n", - "More generally, we have imperfect control over experimental parameters such as as temperature (often quoted as being in a 1-2 degree bracket) or external solutions (especially with e.g. fast wash-out or wash-in).\n", - "This type of imperfect control can often be modelled by replacing scalar values with probability distributions and using [forward propagation](https://en.wikipedia.org/wiki/Uncertainty_quantification#Forward_propagation) to estimate the effects on the measured signal." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Strategies for dealing with error\n", - "\n", - "Four strategies for dealing with noise, artefacts, and imperfect control are:\n", - "\n", - "- Avoiding it\n", - "- On-line correction, i.e. correcting during the experiment using hardware or software\n", - "- Off-line correction, i.e. post-processing the data to remove errors\n", - "- Creating a noise model\n", - "\n", - "**Avoiding noise** is a major part of experimental setup and hardware design, and can include [shielding](https://en.wikipedia.org/wiki/Faraday_cage), removing sources of electronic inference (e.g. monitors, lights), using special power supplies (or batteries), checking for [ground loops](https://en.wikipedia.org/wiki/Ground_loop_%28electricity%29), and even cooling part of the measurement equipment to reduce [thermal noise](https://en.wikipedia.org/wiki/Johnson%E2%80%93Nyquist_noise).\n", - "\n", - "**On-line correction** using hardware filters is common in patch-clamp experiments, and includes correction of capacitance artefacts, series resistance compensation, \"zeroing\" the current, and low-pass filtering.\n", - "A major downside of on-line correction is that it can only be performed once.\n", - "In addition, some patch-clamp hardware does not provide digital readouts of the controls used to perform on-line correction, so that information about how exactly the signal was modulated is lost.\n", - "\n", - "**Off-line correction** includes leak correction and removal of any remaining capacitance artefacts, but may also include removing endogenous currents by subtracting a second measurement made in the presence of a current-blocking drug.\n", - "A downside of both on-line and off-line correction is that it invariably \"complicates\" the recording.\n", - "For example, to fully model a typical patch-clamp measurement it would be necessary to understand the ionic current, the way the cell and patch-clamp setup contaminate this recording, and the precise way in which hardware and offline software has attempted to remedy these effects.\n", - "\n", - "A different approach then, is to simply leave the noise and artefacts in, and **add them to the model used in the fitting procedure**.\n", - "The most common example of \"modelling\" the noise, is using a root-mean-squared error when fitting the data: statistically this equates to assuming a Gaussian model for the noise (so that the recorded current at any time point equals the ionic current plus a normally distributed random variable).\n", - "More complex modelling approaches are also possible, see for example [Lei et al., 2020](https://royalsocietypublishing.org/doi/10.1098/rsta.2019.0348) and the models introduced in these notebooks." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Modelling experimental error\n", - "\n", - "A central idea in these notebook is to differentiate between the measured current, $I_\\text{measured}$, and the current of interest, which we shall call $I_\\text{ion}$.\n", - "The relationship between $I_\\text{measured}$ and $I_\\text{ion}$ can be captured mathematically in a _noise model_:\n", - "\n", - "\\begin{equation}\n", - "I_\\text{measured} = f(I_\\text{ion})\n", - "\\end{equation}\n", - "\n", - "The simplest such noise models are _additive_, and take the form\n", - "\n", - "\\begin{equation}\n", - "I_\\text{measured} = I_\\text{ion} + I_\\text{unwanted}\n", - "\\end{equation}\n", - "\n", - "But we have also seen more complicated forms.\n", - "\n", - "Similarly, we can model imperfect control by distinguishing between the true membrane potential, $V_m$, and the intended membrane potential $V_\\text{command}$:\n", - "\\begin{equation}\n", - "V_\\text{m} = g \\left( V_\\text{command} \\right)\n", - "\\end{equation}\n", - "but we also have to recognise that the error in the control depends on the ion current:\n", - "\\begin{equation}\n", - "V_\\text{m} = g \\left( V_\\text{command}, I_\\text{ion} \\right)\n", - "\\end{equation}\n", - "If we allow for clever circuitry that uses measurements of $I_\\text{ion}$ or $V_\\text{m}$ to perform corrections, we may even want to write\n", - "\\begin{equation}\n", - "V_\\text{m} = g \\left( V_\\text{command}, I_\\text{ion}, I_\\text{measured}, V_\\text{measured} \\right)\n", - "\\end{equation}\n", - "\n", - "so that our full equation becomes something like\n", - "\n", - "\\begin{equation}\n", - "I_\\text{measured} = f \\left( I_\\text{ion}(g(V_\\text{command}, I_\\text{ion}, I_\\text{measured}, V_\\text{measured})) \\right)\n", - "\\end{equation}\n", - "\n", - "Clearly we will need some kind of simulation to deal with this." - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.11.6" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/tutorial/appendix-d/2-inspecting-noise.ipynb b/tutorial/appendix-d/2-inspecting-noise.ipynb deleted file mode 100644 index e71032e..0000000 --- a/tutorial/appendix-d/2-inspecting-noise.ipynb +++ /dev/null @@ -1,910 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Appendix D2: Stochastic and periodic noise\n", - "**Appendix D discusses remaining noise and errors**" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In this notebook we take a brief look at stochastic noise.\n", - "This type of noise is a _much bigger issue_ for single channel measurements, and much more thorough explorations of noise can be found e.g. in [Sigworth 1995](https://doi.org/10.1007/978-1-4419-1229-9_4), [Benndorf 1995](https://doi.org/10.1007/978-1-4419-1229-9_5), or the [Axon Guide](https://www.moleculardevices.com/en/assets/ebook/dd/cns/axon-guide-to-electrophysiology-and-biophysics-laboratory-techniques).\n", - "\n", - "Reducing noise is also a major point of interest, but will not be discussed in this notebook.\n", - "Instead, we have a quick look at the stochastic and periodic noise we might see in a manual whole-cell patch experiment, and discuss how this relates to uncertainty quantification." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Stochastic noise\n", - "\n", - "We'll start by looking at stochastic noise, using the model:\n", - "\n", - "\\begin{equation}\n", - "I_\\text{measured} = I_\\text{ion} + I_\\text{stochastic} = I_\\text{ion} + \\mathcal{N}(0, \\sigma)\n", - "\\end{equation}\n", - "\n", - "This assumes that\n", - "- the noise is purely _additive_, and does not affect $I_\\text{ion}$ or $I_\\text{measured}$ in more complicated ways.\n", - "- the noise in sample $I_\\text{measured}[i]$ is independent of the noise at $I_\\text{measured}[i-1]$, or at any previous sample $I_\\text{measured}[j < i]$.\n", - "- the noise follows a normal distribution with mean zero and a constant standard deviation $\\sigma$.\n", - "\n", - "This model can be used for noise that is truly stochastic, but perhaps also for processes that change quickly enough to _look_ stochastic, given our sampling rate.\n", - "Noise that _more or less_ matches these assumptions can arise from from the electronics e.g. [thermal noise](https://en.wikipedia.org/wiki/Johnson%E2%80%93Nyquist_noise), and [shot noise](https://en.wikipedia.org/wiki/Shot_noise).\n", - "We can even expect some fluctuations from the stochastic opening and closing of the channels themselves: a 1973 paper by [Anderson and Stevens](https://doi.org/10.1113/jphysiol.1973.sp010410) showed that \"channel noise\" with a high enough amplitude can be analysed to estimate the number of channels in a cell.\n", - "\n", - "It can be worthwhile to examine these assumptions, for example by looking at a \"boring\" part of an experimental result, where the voltage is stable and the channels are assumed to be in or near their steady state." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import matplotlib.pyplot as plt\n", - "import myokit\n", - "import numpy as np\n", - "import pints\n", - "import scipy.stats\n", - "\n", - "# Load Cell 1 from Beattie et al.\n", - "log = myokit.DataLog.load('./res/sine-wave-data/cell-1.zip').npview()\n", - "\n", - "# Isolate a \"flat\" bit of signal, by chopping off everything after t=250\n", - "# During this time, V is fixed at -80mV\n", - "log = log.trim_right(250)\n", - "\n", - "plt.figure(figsize=(8, 3))\n", - "plt.xlabel('Time (ms)')\n", - "plt.ylabel('Current (pA)')\n", - "plt.plot(log.time(), log['current'] * 1000) # Convert from nA to pA\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We can try and visually inspect this data, for example to see how it compares to a normal distribution:" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# Subtract the mean and show a histogram of this noise:\n", - "\n", - "noise = log['current'] * 1000 # Convert from nA to pA\n", - "offset = np.mean(noise)\n", - "variation = noise - offset\n", - "\n", - "fig = plt.figure(figsize=(16, 3))\n", - "ax = fig.add_subplot(1, 2, 1)\n", - "ax.set_xlabel('Time (ms)')\n", - "ax.set_ylabel('Mean noise (pA)')\n", - "ax.plot(log.time(), np.ones(noise.shape) * offset)\n", - "\n", - "ax = fig.add_subplot(1, 2, 2)\n", - "ax.set_xlabel('Noise amplitude (pA)')\n", - "ax.set_ylabel('Occurence')\n", - "ax.hist(variation, bins=50, density=True, label='Normalised histogram')\n", - "\n", - "x = np.linspace(-25, 25, 100)\n", - "ax.plot(x, scipy.stats.norm.pdf(x, 0, np.std(variation)), label='Normal distribution')\n", - "ax.legend()\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "So the data _looks_ to be normally distributed, although not with a zero offset (more about that later).\n", - "More rigorous tests of normality are available, but for large sample sizes like these, they tend to be _too strict_, and reject the hypothesis that the distribution is normal, for even very minor deviations from normality.\n", - "\n", - "Another thing we can investigate is whether the noise in this cell was [_independent and identically distributed_ (iid)](https://en.wikipedia.org/wiki/Independent_and_identically_distributed_random_variables).\n", - "A quick visual way to do this is to make a plot of the _autocorrelation_, which shows you how much the points at any index $i$ correlate with the points at $i - \\text{lag}$.\n", - "For $\\text{lag} = 0$ this is $1$ by definition, but for higher lags this should be close to zero if the noise is iid.\n", - "One rule of thumb is to plot the lines at $\\pm1.96 \\sqrt{n}$, which corresponds to the 95% confidence interval, and then check that only 5% of the autocorrelations are outside this interval." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import pints.plot\n", - "\n", - "# pints.plot.autocorrelation expects an array of shape (n_samples, n_parameters)\n", - "# See: https://pints.readthedocs.io/en/latest/diagnostic_plots.html#pints.plot.autocorrelation\n", - "n = len(variation)\n", - "reshaped = variation.reshape((n, 1))\n", - "\n", - "fig, ax = pints.plot.autocorrelation(reshaped, max_lags=30)\n", - "fig.set_size_inches(12, 5)\n", - "ax[0].axhline(+1.96 / np.sqrt(n), ls='--', color='#cccccc')\n", - "ax[0].axhline(-1.96 / np.sqrt(n), ls='--', color='#cccccc')\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "So it looks like our noise is fairly independent!" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now that we now this, how it help us deal with noise?\n", - "Because the noise is stochastic, we can't model it directly and subtract it from our recordings.\n", - "But we _can_ write a statistical model for our noise, and fit that to the data.\n", - "\n", - "First, we assume that at any point intime the measured current $I_\\text{measured}(t)$ can be modelled as the sum of a current model $m(t|p)$ with parameters $p$ and a random variable from a normal distribution with standard deviation $\\sigma$:\n", - "\n", - "\\begin{equation}\n", - "I_\\text{measured}(t) = m(t|p) + \\mathcal{N}(0, \\sigma)\n", - "\\end{equation}\n", - "\n", - "In the [\"basic fitting\"](basic-fitting.ipynb) notebook, we saw that this lets us write a _probability density function_ $f$ for obtaining a certain measurement _given_ a fixed $p$ and $\\sigma$, and that this could be used to define a _log-likelhood_ for $p$ and $\\sigma$ given a particular measurement $D$:\n", - "\n", - "\\begin{equation}\n", - "\\log l(p, \\sigma|D) = -\\frac{N}{2}\\log(2\\pi) - N\\log(\\sigma) - \\frac{1}{2\\sigma^2} \\sum_{i = 1}^{N} \\left(I_\\text{measured}(t_i) - m(t_i|p)\\right)^2\n", - "\\end{equation}\n", - "\n", - "where $D$ is a digitised set of measurements $D = \\{(t_1, I_\\text{measured}(t_1)), (t_2, I_\\text{measured}(t_2)), ..., (t_N, I_\\text{measured}(t_N))\\}$.\n", - "\n", - "In the basic fitting tutorial we observed that for a fixed value of $\\sigma$ the process of _maximising this log-likelihood_ is the same as _minimising the sum of squared errors_ $I_\\text{measured}(t_i) - m(t_i|p)$, and we proceeded using this approach in most of the tutorial.\n", - "\n", - "However, instead of passing in an [ErrorMeasure](https://pints.readthedocs.io/en/latest/error_measures.html), PINTS optimisers can also operate directly on a [LogLikelihood object](https://pints.readthedocs.io/en/latest/log_likelihoods.html):" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "import myokit.lib.hh\n", - "\n", - "class ModelHHSolver(pints.ForwardModel):\n", - " \"\"\"\n", - " A forward model that runs simulations on step protocols, using an\n", - " analytical solving method for Hodgkin-Huxley models.\n", - " \"\"\"\n", - "\n", - " def __init__(self, protocol):\n", - "\n", - " # Load a model, and isolate the HH ion current model part\n", - " model = myokit.load_model('./res/beattie-2017-ikr-hh.mmt')\n", - " parameters = ['ikr.p' + str(1 + i) for i in range(9)]\n", - " hh_model = myokit.lib.hh.HHModel.from_component(\n", - " model.get('ikr'), parameters=parameters)\n", - "\n", - " # Create an analytical simulation\n", - " self.sim = myokit.lib.hh.AnalyticalSimulation(hh_model, protocol)\n", - "\n", - " # Set the -80mV steady state as the default state\n", - " self.sim.set_default_state(hh_model.steady_state(-80))\n", - "\n", - " def n_parameters(self):\n", - " return 9\n", - "\n", - " def simulate(self, parameters, times):\n", - "\n", - " # Reset, apply parameters, and run\n", - " self.sim.reset()\n", - " self.sim.set_parameters(parameters)\n", - " tmax = times[-1] + (times[-1] - times[-2])\n", - " log = self.sim.run(tmax, log_times=times)\n", - " return log['ikr.IKr']" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# Set up a simple fitting problem\n", - "parameters = np.array([3e-4, 0.07, 3e-5, 0.05, 0.09, 9e-2, 5e-3, 0.03, 0.2])\n", - "\n", - "protocol = myokit.load_protocol('./res/simplified-staircase.mmt')\n", - "model = ModelHHSolver(protocol)\n", - "times = np.arange(0, 15400, 0.1)\n", - "values = model.simulate(parameters, times)\n", - "values += np.random.normal(0, 0.05, times.shape)\n", - "problem = pints.SingleOutputProblem(model, times, values)\n", - "\n", - "plt.figure(figsize=(16, 3))\n", - "plt.xlabel('Time (ms)')\n", - "plt.ylabel('Current (pA)')\n", - "plt.plot(times, values, label='Noisy (fake) data')\n", - "plt.legend()\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Next, we isolate a bit of noise from the start of the signal to estimate sigma:" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Estimated sigma: 0.05080936417687858\n" - ] - } - ], - "source": [ - "noise = values[:1000]\n", - "sigma = np.std(noise)\n", - "print('Estimated sigma: ' + str(sigma))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "And we use this to create and maximise a [pints.GaussianKnownSigmaLogLikelihood](https://pints.readthedocs.io/en/latest/log_likelihoods.html#pints.GaussianKnownSigmaLogLikelihood):" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], - "source": [ - "# Create a log-likelihood object\n", - "log_pdf = pints.GaussianKnownSigmaLogLikelihood(problem, sigma)\n", - "\n", - "# Choose a slightly random starting point\n", - "x0 = parameters * 2**np.random.normal(0, 0.25, parameters.shape)\n", - "\n", - "# Use an optimiser to maximise it\n", - "opt = pints.OptimisationController(log_pdf, x0)\n", - "opt.set_log_to_screen(False)\n", - "xopt, fopt = opt.run()" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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eeefRr18/srOzq1RR+pph1mRQ+xEiPz+fyMhI8vLyiIiI8HU4IiIiIiIicphmvXkPQ7e9DkDZfdsJDDp4YwgRXystLWXjxo2kpqbWqGmLeOZk7NChA9dddx133nlnjbbv378/t99+OxdccEGDxLg/55xzDj179uSBBx7waRy1caDf0brOr6lyUkRERERERBot+x7JSGfp/jvhikjjlZmZyfPPP8+2bdu44oorarSPYRi88cYbOJ3Oeo/vQMrKyujevTt33HGHT+PwZ5pzUkRERERERBotw7r7sraspIjQqAN35hWRxicxMZG4uDjeeOMNoqOja7xf9+7d6d69e73GdjCBgYGMGTPGpzH4OyUnRUREREREpNGyGLvnnPxl2SbOTW7p03hEpO4dRTMSHpU0rFtERERERESOCM7SIl+HICIitaTkpIiIiIiIiBwRNu/Y5esQRESklpScFBERERERkSNCEGW+DkFERGpJyUkRERERERE5IkTafNuVV0REak/JSRERERERETki9EgO8HUIIiJSS0pOioiIiIiIyBHB4tSwbhFfGTp0KLfffnuDnW/y5MlERUU12PkOJC0tDcMwWLx4cY33aejXy58pOSkiIiIiIiJHhJy8PF+HIHJEu/zyyzEMo9rPunXr+PLLL3nssce827Zs2ZIJEyZU2d+fEoriP2y+DkBERERERESkLvy+cgtDfR2EyBFu5MiRTJo0qcq6+Ph4rFarz2KSxk2VkyIiIiIiInJECKLc1yGIHPECAwNJSkqq8mO1WqsMUx46dCibNm3ijjvu8FZXzpo1iyuuuIK8vDzvukceeQSA8vJy7rnnHpo2bUpoaCj9+vVj1qxZVc47efJkmjdvTkhICGeeeSbZ2dkHjLNyqPWnn37K4MGDCQ4Opm/fvqxZs4b58+fTp08fwsLCGDlyJDt37vTu53a7GTt2LM2aNSMwMJAePXowderUKsf++++/6dmzJ0FBQfTp04dFixZVO//KlSs5+eSTCQsLIzExkUsuuYSsrKzDeu2PVEpOioiIiIiIyBEhyNCck9JImSaUF/nmxzTr/Ol8+eWXNGvWjLFjx5Kenk56ejoDBw5kwoQJREREeNfdfffdAFxxxRX88ccfTJkyhaVLl3LOOecwcuRI1q5dC8Bff/3FlVdeyY033sjixYsZNmwYjz/+eI1iefjhhxkzZgz//PMPNpuNCy64gHvuuYcXX3yR2bNns379eh566CHv9i+++CLPPfcczz77LEuXLmXEiBGMHj3aG0tRURGnnnoq7du3Z+HChTzyyCPe51EpPT2dIUOG0KNHDxYsWMDUqVPZsWMH5557bh2+ykeORjOs2+l08sgjj/Dhhx+SkZFBcnIyl19+OWPGjMFiUY5VRERERETkaNckxNcRiBwiRzE82cQ3535gOwSE1njz77//nrCwMO/yqFGj+Oyzz6psExMTg9VqJTw8nKSkJO/6yMhIDMOosm79+vV8/PHHbN26lSZNPK/B3XffzdSpU5k0aRJPPvkkL774IiNGjOC+++4DoF27dsydO7daReO+3H333YwYMQKA2267jQsuuIAZM2YwaNAgAK666iomT57s3f7ZZ5/l3nvv5fzzzwfgqaeeYubMmUyYMIFXXnmFDz/8EJfLxTvvvENISAidO3dm69at3HDDDd5jvPbaa/Tq1Ysnn3zSu+6dd94hJSWFNWvW0K5duxq/3keDRpOcfOqpp5g4cSLvvvsunTt3ZsGCBVxxxRVERkZy2223+To8ERERERER8bGUcMPXIYgc8YYNG8Zrr73mXQ4NrXlic1/++ecfTNOslrArKysjNjYWgFWrVnHmmWdWeXzAgAE1Sk5269bNez8xMRGArl27VlmXmZkJQH5+Ptu3b/cmLisNGjSIJUuWeGPp3r07ISG7vw0ZMGBAle0XLlzIzJkzqyRxK61fv17Jyb00muTkn3/+yemnn84pp5wCFV2fPv74YxYsWODr0ERERERERMQPpGft8nUIIofGHuKpYPTVuWshNDSUNm3a1Nnp3W43VquVhQsXVmuqU5ncMw9j6LndbvfeNwxjn+vcbneVfSq3q2SapnddTWJxu92cdtppPPXUU9UeS05OPoRncWRrNMnJY489lokTJ3rLX5csWcKcOXOqtaXfU1lZGWVlu+ccyc/Pb6BoRUREREREpKHZ3KW+DkHk0BhGrYZWNwYBAQG4XK6DruvZsycul4vMzEwGDx68z2N16tSJefPmVVm393JdiIiIoEmTJsyZM4fjjjvOu37u3Lkcc8wx3ljef/99SkpKCA4O3mcsvXr14osvvqBly5bYbI0m9eYzjWayxnvvvZcLLriADh06YLfb6dmzJ7fffjsXXHDBfvcZN24ckZGR3p+UlJQGjVlEREREREQaThhKTor4i5YtW/L777+zbds2b5fqli1bUlhYyIwZM8jKyqK4uJh27dpx0UUXcemll/Lll1+yceNG5s+fz1NPPcWPP/4IwK233srUqVN5+umnWbNmDS+//HKNhnQfiv/7v//jqaee4pNPPuHff//lvvvuY/Hixd4pBS+88EIsFgtXXXUVK1eu5Mcff+TZZ5+tcoybbrqJXbt2ccEFF/D333+zYcMGfv75Z6688spqyVlpRMnJTz75hA8++ICPPvqIf/75h3fffZdnn32Wd999d7/73H///eTl5Xl/tmzZ0qAxi4iIiIiISMMJNUp8HYKIVBg7dixpaWm0bt2a+Ph4AAYOHMj111/PeeedR3x8PE8//TQAkyZN4tJLL+Wuu+6iffv2jB49mr/++stbZNa/f3/eeustXnrpJXr06MHPP//MmDFj6iXuW2+9lbvuuou77rqLrl27MnXqVL799lvatm0LFUPNv/vuO1auXEnPnj3573//W234dpMmTfjjjz9wuVyMGDGCLl26cNtttxEZGammzvtgmIczcL8BpaSkcN9993HTTTd51z3++ON88MEHrF69ukbHyM/PJzIykry8PCIiIuoxWhEREREREWkI8z5+kv7/ehIDK90t6DR2qa9DEjmo0tJSNm7cSGpqKkFBQb4OR6SaA/2O1nV+rdGka4uLi6tll61Wa7VJS0VEREREROToFIoqJ0VEGptGMyvnaaedxhNPPEHz5s3p3LkzixYt4vnnn+fKK6/0dWgiIiIiIiLiB0IMzTkpItLYNJrk5EsvvcSDDz7IjTfeSGZmJk2aNOG6667joYce8nVoIiIiIiIi4gfUEEdEpPFpNMnJ8PBwJkyYwIQJE3wdioiIiIiIiPihYKMc0+XEsDaaS10RkaNeo5lzUkRERERERORgcnJzfB2CiIjUgpKTIiIiIiIicsRwlBb4OgSRGjNN09chiOxTQ/5uKjkpIiIiIiIiR4z1WzJ8HYLIQVmtVgDKy8t9HYrIPhUXFwNgt9vr/VyaiENERERERESOGOk7s30dgshB2Ww2QkJC2LlzJ3a7HYtFtWPiH0zTpLi4mMzMTKKioryJ9Pqk5KSIiIiIiIgcMWYt28DZp/k6CpEDMwyD5ORkNm7cyKZNm3wdjkg1UVFRJCUlNci5lJwUERERERGRI0awWerrEERqJCAggLZt22pot/gdu93eIBWTlZScFBERERERkSNGCCW+DkGkxiwWC0FBQb4OQ8SnNKmBiIiIiIiIHDHKivN9HYKIiNSCkpMiIiIiIiLS4NLzSkjPq/sqx1A0rFtEpDHRsG4RERERERGpdzlF5dw6ZREX929Bh6RwhjwzC4A3LulNicPFqzPX88pFvWiTEHZY5wkzNKxbRKQxUXJSRERERERE6k1xuZNOD03zLs9em1Xl8WvfX+i9P/z537j62FTuHdUBu/XQBvpFUHwY0YqISENTclJERERERETqRV6xg+5jf/Yuh1JCN8sGEsjBxEIuoax3N2EbcYABwFtzNvLWnI3efWbePZTUuNAanzPSKKrjZyEiIvVJyUkRERERERGpF5WJyebGDu6yfcYoy18EGK5q2+WbIfzl7sgf7s7McncnzUz2PjbsWc/w71bxoQxqHce9ozqwLaeEptHBhAVWv6RV5aSISOOi5KSIiIiIiIjUuZyicgCGWRbxP/vLhFfMBbnVjGOTOxEDk1gjn1ZGOhFGMSdaF3Ki1TPEe7U7hanuvvzo6scasxlgsGFnERt2FvH+vE3ec8y4a4j3vts0sBgmEaqcFBFpVJScFBERERERkTrX87Hp9DNWMdH+AoGGk7/d7XnUcSkrzNQq29lw0snYxCDLCgZZltHPspoOli10sGzhdtuXrHcn841rEF+7B7HZTKyy71mvzuXZ5k4A8gglmkIiUHJSRKQxUXJSRERERERE6tSK7XlEUMSEgFcINJxMdfXlJsetuLBW29aJjaVma5a6WvOaazQRFHKi5R9GWv/mOMsyWlvSudPyOXfyOYvcbfjaNYjvXf3JJpK8Egdz1mVxoh3yzFCijULNOSki0sgoOSkiIiIiIiJ16pT/zeFh2+ckG7vY6E7kdseNuLByardk4sICySku5491WTx2ehce/GYFWYVl3n3zCeML93F84T6OMIo5ybKAM6x/MMiynJ6WdfS0rONB2/vMcXfla9cgQimt2C8ENOekiEijo+SkiIiIiIiI1JlSh4sEcrjQ+isAY5xXUkogz57Tnf/0blZt+1FdPc1vlm/LIyTAypx1WWQXlvPijLUUEsKX7uP40n0c8eRyqvVPTrf+QQ/LBoZalzDUusR7nDzT09E7zCglY1cBSTHhDfacRUTk0Ck5KSIiIiIiInXm5o/+4XLbNAINB3+72/OHuwufXNuffq1iD7hfl6aRALSKDwPgjhPbkZlfyjFPzgBgJ1FMco1ikmsUqUY6p1v/4HTLH6RadgCQSbT3WOu3biMppkM9PksREakrFl8HICIiIiIiIkeOX1dlcJZ1NgBvO0fxy51DDpqY3J+EiCDWPjGKPi2iq6zfaCYzwfkfhpU/z+iyx3jacR4vOM+mwAwGYFfWzjp4JiIi0hBUOSkiIiIiIiJ1wuU2GWRZTpKRQ44Zxkx3T15POLzh1Xarhc9vGOhdNk2T1Pt/rFgyvM10qOjYHU4JOzIzDuucIiLScFQ5KSIiIiIiInXi19WZnGRZAMCPrn68dEn/Oj+HYRikjT+FtPGn8NNtg73rXzy/B/kV807+tnRdnZ9XRETqhyonRUREREREpE5c8958Zgd4mtTMcPdkYvuEej1fx+QINo47mV1F5cSGBTLvS0/H7kiK6vW8IiJSd1Q5KSIiIiIiInWilZFOimUnZaaNee5OBNjq/5LTMAxiwwIB2GV6hpBHGwX1fl4REakbSk6KiIiIiIhInRhoWQHAAnd73rpmSIOfP9uMACDOyG/wc4uIyKFRclJEREREREQOm2ma9LR45npcYLZnwCF26D4c2XiSk7HkNfi5RUTk0DSq5OS2bdu4+OKLiY2NJSQkhB49erBw4UJfhyUiIiIiIlI/8rfDvIlQ6v+VgFOXZ9DD8CQnF7lbYxhGg8eQZUYCEKvKSRGRRqPRNMTJyclh0KBBDBs2jJ9++omEhATWr19PVFSUr0MTERERERGpFyWvn0hw0Vby1s0j8uLJvg7ngO798HeWBqUDsMTd2icxVA7rVnJSRKTxaDTJyaeeeoqUlBQmTZrkXdeyZUufxiQiIiIiIlKfgou2AmBZ97OvQzmobpaNAKS5E8k1InwSgzc5iZKTIiKNRaMZ1v3tt9/Sp08fzjnnHBISEujZsydvvvnmAfcpKysjPz+/yo+IiIiIiEjj4/Z1AAfV3tgMwAqzBd/cNMgnMTRp2hyAOENzToqINBaNJjm5YcMGXnvtNdq2bcu0adO4/vrrufXWW3nvvff2u8+4ceOIjIz0/qSkpDRozCIiIiIiInXBYpq+DuGg2hrbAFhnNqNbM99Mv3XawG4ARBrFrNyy0ycxiIhI7TSa5KTb7aZXr148+eST9OzZk+uuu45rrrmG1157bb/73H///eTl5Xl/tmzZ0qAxi4iIiIiI1AUD/05OLt2aSzuLZwj6Gnczn8XRtXVzHKYVgG3bdP0nItIYNJrkZHJyMp06daqyrmPHjmzevHm/+wQGBhIREVHlR0REREREpLGx+Pmw7gve+JM2FZWTa82mPovDbrOxi3AAXvzmD5/FISIiNddokpODBg3i33//rbJuzZo1tGjRwmcxiYiIiIiINAR/T06Gl+8kwijBaVpo1qaLz+IIsFnIND1DyhONHJ/FISIiNddokpN33HEH8+bN48knn2TdunV89NFHvPHGG9x0002+Dk1ERERERKReWfx8WHdry3YANpmJvHmFb5rhAIQG2kg3YwFINnb5LA4REam5RpOc7Nu3L1999RUff/wxXbp04bHHHmPChAlcdNFFvg5NRERERESkXvl7cjLF8DSf2WwmYLUYPo1lmxkHQBMj26dxiIhIzdh8HUBtnHrqqZx66qm+DkNERERERKRBWQz/Tk42q0hObjETfB0K6WYMAE2MLF+HIiIiNdBoKidFRERERETEP6V4k5Pxvg5Fw7pFRBoZJSdFRERERETkkJmmSYqRCcBWP0hObq9ITjYhm6Iyp6/D8RtLtuSyPbfE12GIiFSj5KSIiIiIiIgcstxiB80qhlD7U+VkorGL2z/+x9fh+IX1Ows5/ZU/GDj+V0rKXb4OR0SkCiUnRURERERE5JDNWrGZBCMXgDOPH+jrcLhq1ACcpoUAw8Wy1at9HY5fWLM1i0n2p7je+i1XvTvf1+GIiFSh5KSIiIiIiIgcspe/+hWAAjOYkX06+jocRnZP8VZwployfB2OX2hasJhh1iXcZ5/C0vVbfB2OiEgVSk6KiIiIiIjIIUs0cgDIMGNoGh3i63BoGhXMBrMJAK2N7b4Oxy8EBIV574+0zie3uNyn8YiI7EnJSRERERERETlkCXiGdO8wo3wditcGMxmAVCMD0zR9HY7PWSyG9/4Zljn0GDvdp/GIiOxJyUkRERERERE5ZAkVlZOZRPs6FK/K5GQrYzuz/t3p63B8zmrsTk4OtKykpZHOsq15Po1JRKSSkpMiIiIiIiJyyBIrmuFk+lHl5EZvcjKdFduVhGN3bhKLYXK19UdOe3mOLyMSEfFSclJEREREREQOWWXl5E4/Sk6uczcFIMXYyWs/L/F1OH7nP9bfaUIWt3y8yNehiIgoOSkiIiIiIlKfTNNkR36pr8OoF6ZpkuCHlZOPXTSMdDMGi2HSydjk63B8r2LazU3uBP5ydyDIcPCA/SO+W7KdDg/+pHk5RcSnlJwUERERERE5DFmFZbjdJiu35/ParPV8Mn8zfR6fzkVvzeObxdu4+aNF9HtyBp8u2OLrUOtcel4p8d6GOP4z5+SIzkksd6cC0NWy0dfh+A0Tg0cdl+IyDU61zmOE5W9KHW4ueHOer0MTkaOYzdcBiIiIiIiINFZz12dx4Zt/7fOxrHXZ/LEu27t8z+dLuefzpXRrFsn9ozp6E0LDOybw8GmdmTw3jc8XbqWwzMmw9gm8cUlvv68myS120LyicrJ9mza+DsfLYjFY6k7lROtCulo2+Docv2GxwEqzJW+6TuF62/c8Y3+DdeVNmbcB7vhkMU//pxt2q7//1onIkUZ/dURERERERGrJ6XIz5e/N+01MHsjSrXlVKtV+WZXJ4Kdn8vacjeSVOHC5TX5ZtYNWD/xYx1HXvU/+WEmY4Rmy3q97J1+HU8UysxUAPYx13P/lMl+H41NmxbhuCwat4kN51nkuC91tiTCK+TDgSVKNdL5atI22//2JueuzNMxbRBqUKidFRERERERq6fJJ85mzLgsDN72NNQy0rKS1ZTtJxi6CKMeKGxcWCs1gigiigGDyzDCyzAiyiSTbjCDbjCCLCLLNSIoJrNpSuZHYttUzn2ORGUizxARfh1PFQnc7nKaFVMsOfv97IZzV1dch+Z4Bv9wxhFYP/MjV5XfxScBjtLNs4+uAB7nNcROz3D2rJNzfvqwP+aUOBreNJy4s0Kehi8iRS8lJERERERGRWmh53w8AjLL8xf/ZPqGVJeOwj1liBpBNBFlmBFlmJDvNKLKIrINo61d2ZjoEwi4zgs5NInwdThUn92nPkqWt6W2sZaB1ha/D8RsWi8Hse4Yx+OmZXFg+htcDnqe3ZS2TA57hK9cgnnGcx3biALjq3QXe/b64YSBtEsJYsT2PAa1iMYzGl0wXEf+k5KSIiIiIiEgNlZS7sOBmrG0SF9tmAJBvBvObuztL3a3IMGMoIgg3Fiy4CaOUMKOEMIqJMoqIJZ9YI484I59Y8okz8gg2ygk2ymlGFs2MLF8/xVqJMgoByCGMFD+bq/DJs7ry8uIu9LasZYhlKWO+XsbjZxyd1ZN7j9JOiQlh5dgRdHpoGheUj+E+28dcbp3GmdY/OMUyjy9dg/nQNZxlZqq3ovfs1+Z693/q7K6M6JxEVEhAQz8VETkCKTkpIiIiIiJSA9tzSxg4/lcesn3AxbYZuE2DV1yn85pzNMUEHfJxgykl1sgnnjxiDU/CMp5c4ow8LrNNB2CjO5HUOnwudSWGAgByzHBfh1KN1WLwq6snt9m+4njLIu6Zt+aoTU7uS0iAjRfP78FtUxYz1nkpX7sGca9tCoOsKzjfNovzbbNY7U7hO9cAfnH34l8zxZuovPeLZdz7RdV5PF88vwcdkyNol+h/vwsi4t+UnBQREREREamBgeN/ZbhlIVfapgJwu+MmvnUPrLLN/41ozzPT/mXixb34eeUOvvxnG63jQ4kPD2Tehl37PG4JQWw1g9hKAuxV4TbP3YnXAl5kJ1F+mZyMMiqSk4T5OpR9WmK2Js2dSEvLDk60LKDzQ6EsGHMiwQFWX4fWoPbX3ub0Hk1Zu6OQl2euY6nZmosc/6WXcw2X2X5mpGU+HSxb6GDZwv/xKVvc8cx092CuuzPz3B3JpWoS8rYpiwGYeHEvAmwWpq/M5JL+LZi+cgejezQhNS60AZ6piDRGSk6KiIiIiIjUgB0nD9reB+AN5ylVEpPTbj+O1vGh2KwWbhrWBoCRXZJ5/tweALjcJtNWZNAuMYytOSVcOXk+Nw5tw6w1mSzfls99ozow/qfV1c7pxjNUOiLQv4ZMV4ox/LdyEmDxQyfx7pODuM3yJZfYfuGb8kG8Nmsdd57U3teh+Y27R7TnhI4JnPmqZ9j2P2Y7/nG0I4IiTrb+xYmWhQyyLCfFspNLLdO5FE817yp3c/50d+JPdyfmu9t7k5XXf/CP99gf/70ZgBd+WcPNw9pw07A2R11iWEQOTslJERERERGRg1i4KYf/WH+jhSWTTDOKCc6zAZhybX96NY8mwHbg5KHVYnBy12QA2iSEs2HcKVCRGKpU6nDx2YKtPHZGZ9onRZBTVE7p8lz4E6y46/X5HapoKuac9NPkZHCAlQ+cJ3C99Vv6WNbQz1jN/341lJzcS8/m0aSNPwWX26T1Az8CkE8oU1zHM8V1PMGUMsiygsGWpQywrKSdZRsdLZvpaNnMlXgqide5m7DA3Y6FZjsWutuxwUyu0oH+5ZnreHnmOgAuG9CCAa3jGNklyUfPWET8iZKTIiIiIiIiB3H2a3/wY8AvALzuPIWAkHBWPnRSnZ7j9uHtuH14O+9y06hgFqz0XLIZpp8mJ/18WHegzcpOovnMNYSLbTN4yP4eo8sfp+V9P/Db/w2lRezRMdTY3O/A7qqsFoN3Lu/DlZMXkBQRREZ+KVRMPfCLuze/uHsDEEce/S0rGWBZSX/LSlpb0mlj2U4by3bOZxYA2WY4/7jbsaDiZ7mZShmeBjrv/rmJd//cBMCGJ0/GYlHnb5GjmZKTIiIiIiIiB9HV2EgnyyZKTTufu4awpI4Tk/tjsXqGwFpwNcj5aiva8O/KSYDVj43k2AfzONU6j86WTdxl+4ynnecz5BlPEm3V2JEE2ixKkFU4vkMiaeNP8S5n5pcSExpAm//+5F2XRSTfuwfwvXsAANHk08uylj6WNfS2rKG7sYFYo4ATrQs50boQgDLTxnIzlX/cbVnkbsM/7rZkEMtxz8xkzr3H++CZioi/UHJSRERERETkIEZY5wPwi7s3eQ1ZJWh4hotb/LVysqJbd/vUFr4OZb+C7FayiORBxxW8FPAyN9q+pdAM4lXX6YBBx4emeredfc8wXp21np0FZbx8YU+C7FXnR9yyqxin2yQuLIBfV2dyQsdEwgKP7MvqhAhPJ/q08aeQV+zgzw3ZXP/Bwirb5BDBDHdvZlRUVtpx0sXYSG/LmoqE5b/EG/n0NtbS27LWu98mdwLX5N4FKDkpcjQ7sv+KioiIiIiIHKbHv1/JfyyeJh8/u3rzz4MnNti5DWvFsG4/nHPS7Ta9lZMtm6f4OpwDmnn3UIY9C6mODO60f8499k/pb1nFk86LWG029243+OmZ3vsdHpxa5Rh3DG/HC7+sqbKubUIY1w9pzfBOicxZm4XFgBGdk8guKic+PLABnlnDigyxM7JLUpXKyrSsIl7/fT0X9WvBg98sZ9HmXBzYWGS2ZZGrLW+5TgFMmhuZ9DbW0NOyjl6WtXQwNtPCkskQyxKfPicR8b1Gm5wcN24cDzzwALfddhsTJkzwdTgiIiIiInKE+nHOfMYEbcFpWpjl7k5MaECDndtiqRjW7YeVk3nF5d7KyVbNmx90e19KjfPMLfk/11nsIpwHbe9znHUZx1nvY5G7Db+6erDAbM9qdwo5ROzzGHsnJgHWZhZy12f7Tq5ZDLyNj3yuZlNOHpKWcaGMO6sbAF/dOIhSh4syp5vf1uzk1o8XVWxlsNlMZLOZyFfuwQA8Z3+Ns62zMeozOBFpFBplcnL+/Pm88cYbdOvWzdehiIiIiIjIEa6P5V8AlpupvH19w1VNAmB4kpNWP5xzsqggl2jDE1dgeJyvwzmoF87rzh2fLOED14nMcXfhbttnjLT8TU/LOnpa1nm3yzIjSDdjyDBjSTdjyDIjySGMXDOMHMLJMXffLyawSkfqPblN+DejgPZJ/jQfZ/3PqxlktxJktzK6exP6t4rhuvcXsmhzLk+e2ZUnflhJUXnV3+VW8f7ZTElEGk6tkpOmafLbb78xe/Zs0tLSKC4uJj4+np49ezJ8+HBSUuq/lL+wsJCLLrqIN998k8cff7zezyciIiIiIkevjLxSels8FXML3e24oMm+q+rqi1HREMcw/S85+cFvS7mvotFJbHSUr8M5qDN7NiO7sJzHf1hFmpnMzY5bSSCHE6z/MNiyjC7GRppbdhJn5BNn5NOVtIMes8y0kUcYeWYoeYRWuV1jNmPC9EReu6RPgzy/AzF9VJyYEB7EVzcO8i5f2K85f23I5skfV8EOz7qWsSG+CU5E/EaNkpMlJSW88MILvPrqq2RnZ9O9e3eaNm1KcHAw69at4+uvv+aaa67hpJNO4qGHHqJ///71FvBNN93EKaecwvDhww+anCwrK6OsrMy7nJ+fX29xiYiIiIjIkWf0y3N4p6KBx0J3W64KaNjBZ95h3X445+TMJeu4LxAKCCGuAYe6H46rB7fiqmNT+fKfbdz12RIyieZj1wl87DoBgBBKSTUySDR2kWTkkGxkE0se0UYh0UYhURQSbRQQRSGBhpNAw0kCuSQYufs838NFvQDfJyf9Sb9WsXxz87HMfyEE8nwdjYj4gxq9s7Zr145+/foxceJERowYgd1ur7bNpk2b+OijjzjvvPMYM2YM11xzTZ0HO2XKFP755x/mz59fo+3HjRvHo48+WudxiIiIiIjI0SGvoICOgZsA+MfdtsHPb1g9117+mJxsHeGCMigwg/H/Qd27GYbB2b2bcXqPJrT5709VHismiBVmS1aYLQ9yFJNgyoimkCijkEijiAiKiDSKiKSI62zfE2fkE20rO8hxGormdRQR/1Wj5ORPP/1Ely5dDrhNixYtuP/++7nrrrvYtGlTXcXntWXLFm677TZ+/vlngoKCarTP/fffz5133uldzs/Pb5Ch5yIiIiIicmRoY2zHapjsMsMwIpo0+PkNP26IU1KQCwGQT6ivQzkkNquFjeNOhoqE5aQ/NrItp4S35myswd4GJQRRQhDbzbhqub//WH8nzsinVVzjfG1ERBpSjZKTB0tMVlq8eDE9evSgbdu6/0Zx4cKFZGZm0rt3b+86l8vF77//zssvv0xZWRnWivlYKgUGBhIYGFjnsYiIiIiIyNGhnbEFgLVmM36/9/gGP79pWCru+N+ckxEUAZ7KycbKMHY3iLliUCoAY07txOqMfJpEBRMRVHXUYF6xg+mrdrCzoIynpq7e5zEvH9gSFnjut4qvmpw0TZNHv1vJ5LlpFeeHPi2iaZMQxq0ntCU5svG+liIih+qwJ0zJy8vjww8/5K233mLJkiW4XPXzpnnCCSewbNmyKuuuuOIKOnTowL333lstMSkiIiIiInK42lm2AvCvO4V+VkuDn//vtDw6A1Y/HNYdbpQAnjknjzQdkvbd+CgyxM5/ejfzbJMcTl6xgzN6NsXtNrFYdic60xZb2Nc/Wer9P1ZZNk2Yn5bD/LQcPv57Cx9e3Y9Bbep+kLw/D+r259hEpGEccnLy119/5Z133uHLL7+kRYsWnH322bz99tt1G90ewsPDq1VwhoaGEhsbW+PKThERERERkdpoZ3iSk2vMZj45f1iIZySYP845GUExAAXmkZecrIlh7RO89/dMTO7PY9+vBMDATRcjjWQjmywzkhVmS8rwNBS66K2/mHRFXwa3icPmg2S4iIgv1Co5uXXrViZPnsw777xDUVER5557Lg6Hgy+++IJOnTrVX5QiIiIiIiINzOly07YiObnW7ZvkZGigJ2nln5WTFcnJI7Bysj68PWcjnY00Jthfoa1lm3d9iRnAb+7ufOAazh/uzlwxydMA9osbBtK7RXS1qkwRkSNNjZOTJ598MnPmzOHUU0/lpZdeYuTIkVitViZOnFi/ER7ArFmzfHZuERERERE5so3/cTn3GdkAbDITDrp9fbDaPJdsfpmcrKycRPMkHszdny0h1Ujno4DHiTSKKTCDWW82IdnIJtHIZaR1PiOt81nrbsrLztP53j2As1+b691/zr3DSIwIwq5qShE5AtU4Ofnzzz9z6623csMNN9RLwxsRERERERF/MnXuP4wJdFNm2hh3+Uk+iSHA5mnIYsWNaZpVGrj4mnfOyaN0WHdtfL5wCx/Z3ybSKOYfdxsuL7+HfMIAk47GZs61zuJs6++0tWzjxYBXuc39Ja+6Tudr1yCc2Dj2qZkAtI4PZfodQ1RJKSJHlBp/7TJ79mwKCgro06cP/fr14+WXX2bnzp31G52IiIiIiIiPpBiZAGwz4+jfKt4nMXRrGQsVyUm3n3UOqayczNew7gMqdbjob1nFQOtKykw7t5TfUpGYBDBYZbbgUedlDCx7iacd57HLDKOVJYNn7a8zI+BuzrHOwoYTgPU7i7jrsyXkFJXXKgbTz353RET2VOPk5IABA3jzzTdJT0/nuuuuY8qUKTRt2hS328306dMpKCio30hFREREREQaUDPDU4yx1YwnOMDqkxjsVk/lpMUwcbn8a2h35ZyT+aqcPKDnp6/hXKtnSrLPXcexjXhS40KZefdQXr+kt3e7QkJ41XU6x5b9jycdF5BlRtDCkskz9jf4NeAuzrXOxIaTrxZto+dj02l53w888NUyHz4zEZG6UesJK0JCQrjyyiuZM2cOy5Yt46677mL8+PEkJCQwevTo+olSRERERESkge2ZnPQVw7o7Kep2O30Wx76EUzGsW5WT+2fCu7+vZqTF0+Tmc9dxjDmlIzPvHkpqXCgjOifx3pXHcN1xrZh9zzAAigniDddpDC6bwOOOi9hpRtDcspOn7W8yM+Auzrf+ir2ikvKjvzbT8r4fcPtbWW0NaGC6iFQ6rNl027dvz9NPP83WrVv5+OOP6y4qERERERERH0upSE5u8VEzHABrxZyTAG6Xw2dx7EuEUQRAbEycr0Pxa70sawkxythhRrHIbMPVg1tVefy4dvHcf3JHUmJC2DjuZH7/P0+SsoQg3nKdwuCyF3nMcTE7zUhSLDsZb3+LmYF3coF1hjdJ2eqBHyks23/y2vTncd1+HJqINIzDSk5u2bKFrVu3YrVaOeOMM/j222/rLjIREREREREfalLRqXub6bvkm8UW4L3vctRunsH6Vlk52aJpkq9D8WsDLSsA+MPdhd//7/gDbmsYBs1jQ0gbfwrPndMdgFICedt1MoPLJjDWcQmZZhTNjCzG2d9mZuCdXFiRpOzy8DRa3vcDLe/7gSl/bwZ/T0qKiFSodXLS6XTy4IMPEhkZScuWLWnRogWRkZGMGTMGh8O/vskTERERERE5FDvyS4knF4BMonwWh8W6Ozlp+lFy0u1yebt1D+zc2tfh+K1tuSUcY1kNwJ/uTjSJCqrxvmf3bkba+FNol+hpnlNKIO+4RjG4bAKPOi5hR0WS8kn728wKvIOLrdMJxPM7ct+Xy2h53w8c+9RMypyuenp2IiJ1w1bbHW6++Wa++uornn76aQYMGADAn3/+ySOPPEJWVhYTJ06sjzhFREREREQaTLnTTbzhSU5GJ6T4LA6rzYbTtGAz3OQXlxDhs0iq+n1FGkMr7lsDw30cjf/6fMEWnjM8VYxL3a2wWWs/ePHnO4bgcLn5e+MuLnrrL8oIYJJrFB+5TuAC66/cYPuWpkY2j9sncZvtSyY5R/KB6wTyCWNbbgntx0yll7GGLwPr4QmKiNSBWicnP/74Y6ZMmcKoUaO867p160bz5s05//zzlZwUEREREZFGr7ykiIiKysB7zhniszgsBpRhxYabTZk5NGue6rNY9rR9p2fIu8s06J6a6Otw/FakYwcR9mLKTSsbzCaHfBy71cKgNnGkjT+F5dvyOPWlOZQRwGTXSD52Hc951plcZ/uepkY299g/4UbbN3zsOp53nKNIJ9Z7HIefdXwXEeFQhnUHBQXRsmXLautbtmxJQEDAPvcRERERERFpTO58ZxoAJWYAoeG+G9ZtGAblFTUlLaP953or2CwFoIggggJqXfNy1OhYUTW5zmzGn2NG1skxuzSNZMZdQxjc1jMXahkBvOcawZCyF7i9/EZWuVMIM0q5xvYjvwfeznP212hv2VIn5xYRqQ+1Tk7edNNNPPbYY5SVlXnXlZWV8cQTT3DzzTfXdXwiIiIiIiINzlacCUCmGUVCRLBPY3FiBSCvsNincexpedp2AErQWOEDaWd4koKrzRTiwurutWodH8b7V/Vj4ZjhdG7iGezvxMbX7mMZVT6ey8rv5U9XJ+yGi7OtsxlnfxuAQEN9IkTE/9T6K65FixYxY8YMmjVrRvfunu5hS5Ysoby8nBNOOIGzzjrLu+2XX35Zt9GKiIiIiIg0gARjdzOcFj6OxVFx2TZvbQaduvs4mArJwZ4mK0VmzRu8HI2aG54kd5q7fjqax4YF8sOtg73LP6/I4Nr3F/Kbuzu/ubvTzbmea23fc6r1LwAKzJB6iUNE5HDUOjkZFRXF2WefXWVdSorvJogWERERERGpa97kpOm7Id2VKpOTbpf/dOv+a/UWrrZCMUpOHkgLiyc5ucWMb5DzndQ5if9d0JNbP14EwFKzNTc7buMZZwb/sf7OAnd73m2QSGrO9HUAIuJztU5OTpo0qX4iERERERER8ROVnbp3+kNy0rSCAW1i/GfOSaurBKxQrGHdNdJQyUmA0d2bMLp7E1Zn5DNywmwANplJPOc8t8FiEBGpjVrPOSkiIiIiInKkiyUfgCwz0teh4DTsACSG+U/jmVA8DXGKNay7RopCG360YYekCFaOHcEHV/XzrvvqxoENHoeIyMHUKDk5cuRI5s6de9DtCgoKeOqpp3jllVfqIjYRERERERGfiDYKAcglzNeheCongeJi/2mIE2JUdutW5eTBlJl2bjzVN0nBkAAbx7aNY/Y9w1j92Eh6No/2SRwiIgdSo6/ezjnnHM4991zCw8MZPXo0ffr0oUmTJgQFBZGTk8PKlSuZM2cOP/74I6eeeirPPPNM/UcuIiIiIiJST6Iqk5Om75OT5RXdun9cspneJ/g6Go8QykCVk/tlYnjvbzNjGdm1iU/jSYlRI5zGaF16Nl++/wq9hp3J8L5dfR3OQRWXOwkJ8J8Kb2k8avRbc9VVV3HJJZfw+eef88knn/Dmm2+Sm+uZg8UwDDp16sSIESNYuHAh7du3r++YRURERERE6lUUnuRkjh9UTjorLtu6JftPgqmyclJzTh7cTqJoZdWMatUYNdjmKLf4vXu4p+Rztnz3HvRd5+twDmjO2iwufvsvTumazMsX9sQw9A8sNVfjlHZAQAAXXnghF154IQB5eXmUlJQQGxuL3W6vzxhFREREREQaTEZeqbdy0hYS4+twCAwMAgc0j/Sf6y7vnJPq1n1QO/1g3lJpnPqVeqbXS7Hs9HUo+2WaJjd/tIgflqUD8MOydH64P531T56M1aIEpdTMIX99ExkZSVJSkhKTIiIiIiJyRNmWU0x0ReXkpcN7+jocTIvnmst0OXwdildIRXKySMO6D8ofOr6L1Je1mYXexOSeXpi+xifxSOOkyQBERERERET2sGpzBr0NTyKwW5tUX4eDy/Bctpmucl+H4hVieOacLNGw7oPyh47v0jiZhgGmr6M4sJNe+J1ICrnH9glDrEtwmRb+dHfi0ZmXcvcITfsnNaPkpIiIiIiIyB62pW8HoNy0EhPt+2HdhU7P0Miy0lJfh+IVWtEQp0jDug9qJ0pOypHJ7TYJoowPA56kiyXNs9KAFpZMprr7+jo8aUQ0K6+IiIiIiMgeflv8LwB5hGH1g0YmeZ48ID8v2+rrULwqh3WrW/fBqXLyIEw/Lw30IdPPuwZd+/5CrrT+RBdLGllmBFeU/x8u0xOzHZevw5NGxPfvtCIiIiIiIn4k0igCIMf0fadugPKKAW82nL4OxatyWHdIWLivQ/FL5h4Jt3yr76tvpbHy7+TkrFXbuMr2EwCPOS5mprsnS8zWvg5LGqFaJydbtWpFdnZ2tfW5ubm0atWqruISERERERHxiWgKAMjFP5KTDtOTnAzwp+RkReXkznI1SN0Xh8vtvX9cj44+jcV/+XfiTQ6un2UVsUYB2WY437sHVHns4v4tfBaXND61Tk6mpaXhclUvzy0rK2Pbtm11FVc148aNo2/fvoSHh5OQkMAZZ5zBv//+W2/nExERERGRo1NUReVknp9UTpbiSQAGGv7TECfU8CQnY6OjfR2KXwqpmJMTICEx2aexSOPl7wPeT7AsAmC6qzfnHpNK2vhTCA3wfJkSEaQWJ1JzNf5t+fbbb733p02bRmTk7nkzXC4XM2bMoGXLlnUfYYXffvuNm266ib59++J0Ovnvf//LSSedxMqVKwkNDa2384qIiIiIyNElgorkJP5xnVHZETsY/0lOVlZOtkiK93UofqlyagCA4d193/FdpK69PWcjvSzrAJjr7sz/zurq65CkEatxcvKMM84AwDAMLrvssiqP2e12WrZsyXPPPVf3EVaYOnVqleVJkyaRkJDAwoULOe644+rtvCIiIiIicnQJM0oAKDCDfR0KAG2axEMmdIrzj0ok0zS9lYHRUVG+DscvRRjF3vuxYYE+jUUaM/8d+j7++6UsD/R06NY8k3K4avzu5nZ75sxITU1l/vz5xMXF1WdcB5WXlwdATMz+JxcuKyujrGx3OX1+fn6DxCYiIiIiIo1XGJ7kZCH+kZzcWui5zcjO8XUoAJQ5nAQZDgA6NU/0dTh+zzD8N8EkcqjaGVsJNJzkmGH07tHL1+FII1frOSc3btzo88SkaZrceeedHHvssXTp0mW/240bN47IyEjvT0pKSoPGKSIiIiIijU94ReVkoZ9UTm7I8xSKBO0xj6EvFRQWeu+HhPrHvJwiRyLTjysnU410ANaZTXj4tP3nZURq4pDGBcyYMYMZM2aQmZnprais9M4779RVbPt18803s3TpUubMmXPA7e6//37uvPNO73J+fr4SlCIiIiIickD+VjnZLCEOcvxnzsm/127jlIr7Sk4eWJlpQ4O65dD5b3KyhbEDgE1mEn1D7L4ORxq5WicnH330UcaOHUufPn1ITk5u8BL1W265hW+//Zbff/+dZs2aHXDbwMBAAgP1ViAiIiIiIjVXmZw8/Zj2vg4FgPiYKMip2gHal4LxDOl2mFZCg4J8HY5fyycUtQzaN/9Nu0lNtDQyANjoTvJ1KHIEqHVycuLEiUyePJlLLrmkfiLaD9M0ueWWW/jqq6+YNWsWqanqeCYiIiIiInUvtGJY95YSG8f4Ohhg4fZSzgSCDf9IThYXe4Z1lxBAeJB/NOnxV3mmkpNy6ExfB3AALS2e5OQmU/POyuGr9ZyT5eXlDBw4sH6iOYCbbrqJDz74gI8++ojw8HAyMjLIyMigpKSkwWMREREREZEjV3hF5eTWIv9IvI3q1QqAUMM/hnXjLAWgjABs1lpfUh5V8gj1dQgidS4zv5RkYxcAW02l3+Xw1fqd5Oqrr+ajjz6qn2gO4LXXXiMvL4+hQ4eSnJzs/fnkk08aPBYRERERETlyhVVUTq7a5R91SyEh4QAEmP5ROdkszDMgt9QM8HUofi/PVHJSDp3pp53e12UWEE8uADFJ6ushh6/WXwWWlpbyxhtv8Msvv9CtWzfs9qoTnz7//PN1GZ+XafrHBwMRERE5smXmlTD5y28YNngIfdsk+zocEWlgbrfpnXPyuK6tfB0OAOty3fQEgo1ySh0uguxWn8bz1d/r6AGUouTkweQT4usQ/J7p14OXZV9++WcNAw0nAE9dOtzX4cgRoNbJyaVLl9KjRw8Ali9fXuWxhm6OIyIiIlLXpr/3OPdkv8zsDV3gsT98HY6INLB56zMZWDG3oz0k0tfhALAx33OdFU4xu4rKaRLl2y7iuXl5AJSiDr0Hk6/KSTks/pljmb1oOQRCjhlGfHSEr8ORI0Ctk5MzZ86sn0hERERE/MBxOV8BMNi6/KDbisiRZ+O2DCpn2B/c2T+acPbv3Br+9VRObszP93lysqy0GAJUOVkT7rh2vg5BpM7FG54h3ZlmFNH72Ub1sFIbhzx78bp165g2bZq3IY2GXYuIiMiRwPTTKgURaRhWZxEAZabdbyqCwiNjcJmev01rN231dTgE4WnMozkn9++y8nt5w3kKm1ud5+tQ/Jfebg/KXz+TJFTMN7nT9I/qcmn8ap2czM7O5oQTTqBdu3acfPLJpKenQ0WjnLvuuqs+YhQRERFpMP56ISAiDWPXriwACgjGavGPvwdNo0O9XZ+XrUvzdTgEVXQNV+Xk/v3m7s6Tzotom7S/ujKRxquycnInUb4ORY4QtU5O3nHHHdjtdjZv3kxIyO7Jfc877zymTp1a1/GJiIiINCj3oQ8sEZEjwC+L1gNQaPp26PSeEiKCyDXDAFiyxg+SkxWVk2VKTu7XZ9cP4K4T23FuH3UyliNPtFEIQI4Z7utQ5AhR6zknf/75Z6ZNm0azZs2qrG/bti2bNm2qy9hEREREGpypBn8iR7XkoHIwoYggX4dSRS6e5GS0UeDrUHYP61Zycr/6toyhb8sYX4chjZy/juaIwDP9RZ4aPkkdqXVpQFFRUZWKyUpZWVkEBgbWVVwiIiIiPuKfFwIi0jBGtPPMM1mMf13bVFYoxfhDcrJyWLepbt0iR6NIw5OczKd6bkjkUNQ6OXncccfx3nvveZcNw8DtdvPMM88wbNiwuo5PREREpEGZGtYtclQLoQwA0+ZfF93bzVgAmhk7fR0KQTgAKPGzBK40Uuqtu39+OpojUpWTUsdqPaz7mWeeYejQoSxYsIDy8nLuueceVqxYwa5du/jjjz/qJ0oRERGRAzBNE2OvD/CbsotICA/i68XbME24sF9znC43VouBYRjsKionNNDKiu35PPXTarbmlPDcud0JcbgP4etbETkUK7bnsWRLHhcck1Lt/7CvzFy+ieF22OXwr6rALWY8ACl+kJwM1LBukaNahFEMQGxcgq9DkSNErZOTnTp1YunSpbz22mtYrVaKioo466yzuOmmm0hOTq6fKEVEROSotrOgjKnL0zm+YyIRQTaWbc3j4/lbWJ9ZyMr0/Bod44Gvlh10m/PfmMc3Af6RIBHxhVKHi50FZaTE7K4azCtxEBlsZ1V6PqNenM0n1/bHajFoERtKfPj+K+f29aXB3n565S5Osc5jquVzRvXtUKfP5VAFV1ROlvhZ4m2L6UkCNDcyeWv2Bq4e3KrG+9bk36I2vHNOmv71Gkljo/fbg/H3OSeH92zn61DkCFGr5KTD4eCkk07i9ddf59FHH62/qEREREQqbMwqYtizswB48JsV9XIOAzehlBJGCbFGzZKdIo1dudPNL6t2cOOH/1R7LDY0gCfO7MrSrbm8Omt9lcfOe2Oe9/4Fx6Tw8d9bqu0fYLVQ7nLz+fUDGPv9SpZuzQNgVJckAm0WereM4Z05G5lp/wyA7MVvQN/n6+FZ1p43OWn615DltWZTANobWzjnh2VcOqAlm3cV8eOyDGav3cmbl/YhLNDGwk05LNiUQ1JEEKf3aMIdny5hdXo+3996LPklTsKDbATZrd7jFpQ6CAu0VUlebs8tISzIRkTQ7urRygRnQalj95yT+Fd1qYjUP4fL7Z1zcktJIP18HZAcEWqVnLTb7SxfvtxvhlyIiIjIkW3Q+F/ZlltywG0suImgiAijmEiKiDSKiPDeFhNuFBNKKeFGCWGUEEYxYYYnERlWuc4obbDnJOJrbrdJqwd+POA22UXlXP/BwoMea1+JSYBylxuA/0z8s8r6n5ZnAPD14u2eFRUNsXPyC2sUe0MIMSorJ/0rOdmte1/yVoUQaRTT1dhIuzE/VXm8x9jp1fa567Ml3vvtx0yt9njH5AhWHaT6fGDrWOauz66y7jW7JzlZ5mfVpSJS//KKy4mkYlh3bLyvw5EjRK2HdV966aW8/fbbjB8/vn4iEhERkaOeaZqk3l81edLCyKCHsY4Oli20MtJJMnaRaOQQTy5Wo25m03eYVuyGq06OJeKvxnyzHIAY8ulsSSOaQgzcWCq6UpgYmBXNoUzwPrJ7CwM3BuYet+Zey1XWm5XLnmNQ5VgeDqfTB6/EvrWNtkIBNE2I9XUoVVwzpA2zV3TjVOs8LrFNZ5Gj7WEf82CJSaBaYhIgWHNOijQIfxzW7Swt9H5WapnS1NfhyBGi1snJ8vJy3nrrLaZPn06fPn0IDa3anen55/1jOIaIiIg0Ti63SeuKqq448rjQOoOzrLNpadlxwP0KzSDyCSHPDCWfUPLNUPIIpcAMppBgCr23QRW3IZ5bgryPlWHnVMs8Xg54iT9dnRjQQM9ZpCF99Ncm7rZ9yvXW77AZbl+HA4Db7T9fCmTn5IIN0ov9KynQJiGM/zpHcqp1HmdZ59De2MJGM4kyAnCbnvTynklhKpog775veBPCe25DDbYxqyRJDIZaPRWZqpwUOfqUF+VAxRe6CTHRvg5HjhC1Tk4uX76cXr16AbBmzZoqj2m4t4iIiBwuT2LS5HLrNO62feodcl1uWllqtmaVuzlrzGakm7FkmNHsMKPJIRxn7T/W7JO74gI8Ish60G2PWuXF5E4chavV8cSe+rCvo5FaKHW4OMPyBzfbvgFgvTuZHWY0Tjy/7yZGlVpIS0VKylKRxLRU/A+pvDX2WrZUqaM097tswcQwTJoZWQCss7b24atSVUjF35zNBb6OpCq71YK72TE8uv0SHrB9RGfLJjqzyacxhQdpzkmR+uV/OZZXpy1mPFBEEFH6GyB1pFaf4l0uF4888ghdu3YlJiam/qISERGRevHr6h08+eNqXji3B12bRfo6nGre/zMNG06etr/BWdY5ACxxt+Jt5yhmuHtRRHCdnCciyMaPtw1myt9beHXWOtwVpULvXXkM5op0WOJJtjQGDpcbu9XSoOfcOONNUncthl2LQcnJRmXQ+F951+apTH7ReRYvOP/j03g+C3iEvpY1JMf6T/VNZSfq4soJMf1Ij5QoJm0Zxfeu/hxj+Zc4I49Ayr1JZAM31oq/XZ5lTxIYb4qj8v6edZDmPpYr7a6lrDyeDRdX2KYBEBLkX/NySuNUNxOzSENJS8+EyuTkvjbwv3yqNAK1Sk5arVZGjBjBqlWrlJwUERFphD5/72XetX/I/711Jx89crOvw6misMzJg98s53Hbu5xlnYPTtDDWeQnvu07EpGry7eL+zQkNtPH6bxsAuHRAC4LsVoa2i2fS3DTcbpOY0ACe/k838kochATYCLBZ2FVUTmSwHavF88n57hHtuXtE+yrH/meTJwFqNf1nDry9mabJ1pwSVmzP4/oP/uHZc7rzn97NWL4tj7wSBz1SovhrYzZNooJJjQsl0OapisvIKyUqxF6lU2+pw8X6nYWc9epcLjimOf83oj2BNgsOl0mpw8XazELaJYbhcJn0feIXAK60ruUhFUs0SvaidLoEpeE0LUxyjvB1ON45KNsnhvg6FK8Qb7du/xuyfOsJbZk8N42dRPODu79PYgjA4U1O2gP9599NGr/KjvAAu4rKiQ6xH/WjM/1xzsneSYGQASWmvpyQulPr8U9du3Zlw4YNpKam1k9EIiIiUm9eDfif59Z8EvCv5GSXh6dxiuUvLrbNwG0a3Oi4jZ/dfb2PN40K5o/7jq+yz/2jOlY7zsA2cVWWo0J2JxhiQg+ebDAsnqybBf+ZA29PS7bkcvorf1RZd/dnS7h7j668h2ry3DQmz0076Haqcmm8ulvWA7DGTCGXcNLGnwJASbmLcqcbu83AbrWwOr2AlnEhFJQ6cbjcxIcHEhJgo6DUQUm5i4SIIMqdbrIKy5i6PIOx36/0nmP+f4fjNk3GfreSH5alc9eJ7UiICKR1fBjfLdlO28RwujWLZEFaDu5pnuTklws20/9UH70oewmu6NZ9am//GWpeKSY0gHVPjOKVmet5f14aWYXlPo0nMFjJSTl0ZQ7P++zstVm8NelvZv27s8rjp3VvwksX9PRRdH7CD5OzXRJskAHFKDkpdafWycknnniCu+++m8cee4zevXtXa4gTERFRl/GJiIhIPYgyinwdQhWmaRJGMQ/Z3wPgZdfp3sTkfaM6cOmAFoQE1M2ckgdjWD3JSX+rnEzPK2HAuF8b5FwGbgJwYvf+uDy3hud+C+PAzYnEf3WyeOYoXOpOZertg73rgwOsBAfsrqitnPZh7zkFw4Ps3nUBNgtNooK58thUrhjUkjU7CkmNCyXA5kk4vnJRL17Z6/x9Wu4efdWtWRRzpnkuvEvLHXX+XA9VcEXl5NocNyf5Oph9sFkt3Da8LbcN93TrXp2RT2iAjcSIIAJsFtxuk6yiMuJCA1mTWUC7hHBKHC4y8ksJDbBRUpEQCrBZyCkqp0tTz7+1w+XG6TKr/B44XG7+zSjAZjVoGRuK3WqhuLgInvU8HhAUWj1AkRranldKxXS31RKTAN8t2c53S7YDEGS3UOpw85/ezXjmP92O+opKX/p+wXpGBfjn1BfSeNX6U/7IkSMBGD16dJU/CJUl2C6Xf1YZiIiINBamaXL1uwsIDbTRqUkEZ/VqSkK45wPgt0u2c+vHixjeMZHXL+nNN4u3MXluGm9f1pfY0ABKHC5CAqws3pLL3xt3Me6n1QC8eH4PRnZJ8tvvuJ+fvoYLrTNINHLZ6E7kFecZpMaFMvPuoQ0fjJ8mJysTk3Hk0cfyL4lGDuEUE2A4CMBJIJ7bABwVSUQnAbiwVSYYDVeVhKONimVj97qAivX+0sFZ6l5lA5rNZiLnJ9VdUYFhGLRPCq/1fo6Ky5EAw3/+vwVXzDm5xb++w9mvDnv9O1oshvc9o/Kx0EAbrePDqu3bNGr3PL52qwX7Xn3A7FaLN3lZKXiPL4r2LlQRORQnWheyi3AKzBA2mYlsNJMo3esTS6nD8770+cKtfL5wKwCX9G/B+/M2Mbp7E8af3RWbxUKJw4XFOHKaNfnjSIXKpmHFGtYtdajWycmZM2fWTyQiIiJHCbfbZNGWXM5+bS4jOydxdu9mZOSX0rlJBGe9OrfKtt8u2c74igTjnn5ZtaOiq7VH5VyA+3PblMUALA0MJsIoqbPnUlcm/rqa2YFTAXjVdTplBPgmMblH5aTND4d1X239gXttU7AbDRubyzRwYKMcGw5sxBp+1sZYaqwJ2QBsM2N9HQoAZXimWgjAP5KTpmkSUjGsu1m8f7xG/qZyzl6A3q2TfRqLNG72iv/3fSxr6GNZ413vNg22mnGsMZuxxkxhjbsZa81mrDObeP9mALw/z1MJ/u2S7XxbUWFZ6dYT2rI+s5CuzSKxWQyuHtzK+9iec1tWLpumJ7EvB1c5L6+GdUtdqnVycsiQIfUTiYiIyBFu5upMflm1gw//2uxdN3VFBlNXZDRYDJlmtDc5ufeHc18xTZMhliUkGTlkmlF87TqWVWNH+iwew+r5eORvlZODLMsYY/8QgFXu5qw3k8k3QyjHXvFjo9y0exOIlbcOs+IWa8VtxWOmFWeVba373NaBzdu0pFJHYxM/Bd5PphlFgo9eD6k9t9sk2fAkJ9P9JDlZXnE5Eohv506s5HKb3mHdzZPiDrr90cjYo0GH267KSTl0G9zJYIXtZgyr3c2JNgpJNdKJMopobuykOTsZziLv9i7TYJOZyFqzmSdx6fbcbjCbeKuwK/1vxloAfliWDsDjP6w6YCzx4YHMuXcYS7fm0aVJJMEBVkzTxOEyWbBpF6lxoSRHBh/wGPXD95/T9ra7aZiSk1J3ap2c/P333w/4+HHHHXc48YiIiPi1tTsKWJ1RwKndkjEMA9M0Sb3fU8G46METcZsmCzblUOrwNJcY8/VyPry6H8/+/C/zNuyqdrwoCkgxdhJr5BFn5BNNASGUEWSUE0Q5wZQRbJR7h+FW/lhxYzMq77uwV66rXDZ2L1u8692EVQzFAVixLZcuzaIb9PXbl5+WZzDa6qkY/c41gMsHt60y51lDq2yIg9t/5sBbl1nANVbP79lHzuN5wHm1T+NxV1wsGX454Ez2Z/3OQlIMz9+hyKQWvg4HgDKzYv5KP6mcdLrc3uTksZ384zXyO7YAnnWcQ6Dh4Piopr6ORhqx/7nO5Ht3f9abTaok4WLIp51lK22NrbQ3ttDWso32xhaijCJaGRm0IoMRLPBu7zQtbDST2WgmsdlMqPhJZLOZwFYznnIOPsR7Z0EZ7cdM9S6HB9ooKKv6d2nixb14bdZ6TuvehBGdk4gODaDXY9MZ3jGBVy/qXevn73abjbJas3JYd5HmnJQ6VOvk5NCh1YdY7Vl1oTknRUSkscsrcTDux1VcNrAlny3YSp+WngTem7M3sGhzLlQMq/5mcdUhRD0fm77P4/1n4p/e+52NNIZZFjHAspIOls0+HR57wytfMXvclXVyLJfbpKjcScReczylZRWRW+KgW9NI3KaJ020SaLMw69+dbM0pJiLYzj1T/mZR4D8AfOsawAcntK2TmA5VWm45Xf1sWPcpz//C0kBPN+S3XaNqvF9CeCCZBWX7fbxZdDClDhdZheWc3zeFKfO3eB975/I+LN6cS2GZiwv7NWfaigxemL4Gp9v0zOVlgtU4epKTbrfJws05dEqOYGdBGSkxIVWGtzYG2XkFtDU8Sfe7Th/g63AAvEmDQBy1quaur8pvp6OMoIo5V4NDaj+H5tEi9uT/si2nhE7JaoYqh+624e2Z8Iul2vpdRDDP3Yl5dNpjrUk8ubSzbKWdUfFTkcCMMEpoa2yjLduqHcttGmQQzWYzkS3ueLYTS4YZQ7oZQ4YZS7oZQx6h1SoU905MAlz/geezypKteVUqMX9clkHL+34A4MahrXGbYGLy+m8beOjUTjSNDqZr00iKypw0jw3B6TIpLHPS78kZxIUFMve+472NxPZOWJr+XDmpYd1Sh2qdnMzJyamy7HA4WLRoEQ8++CBPPPFEXcYmIofBNE125JeRFKlvtOTQHOjC76dl6WzLLeGKQanei/PM/FLu+HQxHZIiGHNKx8O+aPQ2WnObB0wAmKaJ2/TMgTX2u5W888dGrj2uFVOXZ9AxOZwxp3SizOnikrf/Jj2vlJM6JXJ272aUO918tnArp3VLpmfzaN74fT2fLtha5diViZp3/thY7bx7Jyb3JYgyIikikyhGWBZws+1ruljSqm2XYUaTZUaSbUawi3CKzSBKCKCEQErMAMoIoAw7Tqy4sOAwPfWQ3mV2LztNq3e959Zzf/ePlY/tj5Ni2UlHY/N+v7UvLncSEmBjxfY8fl6xg+uHtGZ1Rj4lDhe9mkcz+OmZ7Cwo45RuyVx9bCpn7jFX5sfX9GfzriLu/WLZQV8jgIGWNYQYZewwo1hitvb5JPabcj3DS+0+Sk6WOV18OG8zQ9rH0zo+DIfLTVdjA4GGg51mJOvNJrx4fg8Gt40nJjQAt9tk+qodTFuewdWDW9GpSfVkgdPlxma1kFng6dYbGrjvj4BPntkVi2X3/7vjOyR6H2uT0IabhrUBYMPKBfCp/w02W7+zkEe+XcHo7k04tm0c78zZyJuzN9KtWSR5JQ5iQgPIKSonLbsYgOuHtKZ3i2henLGGUoeblOhg7hvVkflpu7AYBoYBx7WLJykiiPf+TOPR71ZWOZ/NYjDmlI48Pe1fooLtDGkfT3x4ED1SIvl7Yw4Tf1vPR9f0Y2Br/xge/Ms//9K/4mK9dbMkX4cDQFlFcjLAcJB6/4+8dEFPYkIDyCwo5Y5PlvDQqZ0Y1TWJ0EAbizbn0rlJBG/O3sDrv23gxE6J/O/8nqzKyOf139azNaeEEzok8L9f15EYEUhSRBD3jurAW7M3smhzDgNbx/HDsnRO696EfqkxjO7RBIfTzZf/bMPpNjmxUwKu4hzaV8RmUyfq/bpiUKqvQ5AjwO3D23F2r2YkRQaxeVcx93y+lFuOb0NSZBD3frGMJVty99jaYCfR7HRH8wdd91hvkswu2lm20tzYQXMjs+LHcz/UKKMJu2hi7KK/Zd9Du0vMgIpkZQzpxLDTjCLbjPB8NsNzm2VGsotwnAdJobw6a32V5bHfr9zvtgBZhWW0G/MT48/qyn1fVv/c9EmAE6rnb30qGDXEkbpnmKZZJ195//7779xxxx0sXLiwLg5XL/Lz84mMjCQvL4+IiKP3Wz7TNMkqLCc+fPcfk5n/ZjLhl7XcMKQ1kcF2BrTe9zxEDpeb4jIXkSF28ksdhAfa6vxb64JSB4E2KzaLccAy931NZLy/WNxuk0lz0+iREknvFjEA7CoqJzLYjtViUFDq4M/12QzrkMDq9ALaJ4V7v73a37FfmrGWDVlFPH9u92qP5RU7WLotl/6tYrFbLWTklbJg0y5O6pTkPe6UvzeTkV/KeX1TCAu0HfBiPLe4nKgQz+TPs9fupGVsKCkxId6LzcoYATZkFbFhZxF/rMti8tw0xp/VlfOPae491qbsIkICbFX+/f1RqcPF7LVZ9GoeRWyYJ9bKZMme8ksdfLFwK31bxlTrJul2m0z4ZQ0dkyM4JjXGe5xD4XC5yStxEHcYx9iXwjInYftJEuyLy21S4nBV2ae43EmQzYrFYrB8Wx5bdhXTPimcxIggQgNt5BU7mL3O83uzcFMOwXYrhgH/9/lSAG47oS2XDmjB5LlpvPTrOmwWgz4to/c5BHlf2iaE8fMdxzHqxdmszvBUAT79n250aRLJyf+bTWSwnTN7NmXy3DTaJYaRXVhOrxbR3HZCW+xWCw98tYyIIBtOt0lRmZPBbeN5ddY6HK6qb0+hAVaePKsrO/JLWZdZyAMnd8TlNhn+/G8UlbmYc98wjnliRo1fy0MRTCmxRj6x5BNjFOxxP59Yo4CYivtxRj4xFHibKuypzLQxy92D2e6uLHK3YYOZTEkDD4t5xjaRc2y/86pzNE87z2/Qc+8tAAeP2CZzoW0mX7qOpfutn+yzo2xD+njab1zw52iKzUBc92/jl1U7OKlTEqUOFzsLyxj90h/YrAYLxgznr427sFssHNs2jp0FZfy+ZifPTPuX+0/uwImdEvnin22szyxk8tzdSelxZ3XFajE8XdU35zJjdSaXD2xJZkEpr85az74+mZ1v/ZXx9reY5erOhKRxfH3ToIZ9UfaycdU/pH4yjFzCiHqkeqVKpT3fpwDmrsuiSVQwLeN2J31cbhOLQbX30pJyF+l5JbSKD2NHfilxYYG4TRO7dd9XaZ8v3Mrdny2pk+dX1x4+rRMX9WtR5bNFTRSVOQkJsHpfG5fbZNqKDHo1j8ZqMfhg3ibO65tCk6hgisqchAbayCwoZVtOCT2bR/PFwq3YbRZGd29CfqmDMx+dxIzA/yPXDCXykW1+MefsxDEXc73tO950nswTzot9HQ5JZDMv6BYcphXrw9mNcsilyJGi1OHig3mbOLZtHEVlLh7+djnLt+XX4ggmseTT3MgkxcgkxdhJspFNopFDsrGLJGMXcUZtjgc5ZpgncUkk2WY4eWYoeYSRZ4aSW3GbRyh5Zhh5hJJrhlJI8CHPHflJwFj6WSoaIz6Sd0jH2NOO/FI+/Gszlw5oUe26pszpoqTc5b3urGSaJpkFZcSHBWKxGHz94CjOsM7lMcfFPPjEK9XO8e8T/WjvWM0/A1+h10m++bte+SVr5XvjvqTnlfDC9DVcPjCVpMggIoJsVT6z7GnO2izcpslx7eJrHIO/zO1eX+o6v1ZnyclVq1bRt29fCgsL6+Jw+/Xqq6/yzDPPkJ6eTufOnZkwYQKDBw+u0b5HenIys6CUGz74h4TwQH5avru5QmiAlZcu7MmVkxfsc79rj2vFG79vqLLu8TO60L9VLDd8sJDwIBu9mkdz07A23iGL/VvFMG/DLiwGuCt+g2bcNYRP528hI7+U2NDAKpVGATYL5U43FxzTnI//9jSCaBEbwqaKyoX/G9GepIggguxWbvroH+9+D53aiWem/UuJw8XxHRJYm1lAXFigd1jl02d3o0NyOPd8vpTVGQUM75jAL6syvfvffVI70rKL+Xxh1Wqog2kVH8qGnUXV1p/XJ4VPFmzZ5z4Awzsm8suqHVXWpcaFsjGr+rEOpPI4MaEBhAXa2LyruFb77+3WE9p6J4Wu1D4xnGl3+GaOWIfLzUu/rqNlbAhFZU6255XSLjGMldvzeXP2Ru4+qR3P/ry7Y9/U2wczYfpab9OQplHBbMs9cLfh4zsk8OvqzGrrnz2nOzlF5Tzxo+eb0/tHdWBcRSfkDknh9G8Vy66icro1i6R9Ujgl5S4+X7iVn1dW/XdtlxhGmdNN24QwnvlPd8yKbz4jg+1szSnmqan/8vdGT3JvcNs4IoLs/LZmJ4X7GCJS6c/7j8fpMskqLGPqigxKy12c2zeFX1dlMmX+Fh48tRPXf+C/XwD5g1BKaG9sYYcZTTqx1Zp47CmQciIoItIoIrLidu/EYwz5nlujgFjyCTYOvWFDqWnnDdcpvOMcRS51M1SwS9MIlm/L55jUGP7euIvj2sXTvVkkL/26zrtNq7hQnjizKxe8OQ+ATskRtN3xIy8GvMoGdxLDy5894Ou0PzachFNMuFFCOCWEG8WEUeL5MUqIoJgwY/dy5bZ7bhNOMYHG7v8T/+e4lmeeeKZOXpvDsSVtLSmT++AwrbQte88vJqO/1/YxN9i+413niQy4ZRLtEn073DRt9WJaThlCrhlKj7I3vetjQgPYVVTuvd3T42d0YczXywFoHR/K+n28zwJcdWwqXy3aVm3/SlaLwcsX9GTib+tZsjWPlrEh3kpIMAmjpMq/2L7nxdz/x9/9/WsfaH7N/T3WzbKRAjOYf8x23nWt4kPZnF1MYkQQmQWl1b6I2Z8Aq4Vyl7tG2+5PL2MNXwY+wmZ3PM3HrqvBHvXv6f9eyz32T5jh6sm9jmurPOaLOU1TjXQ+DXyMfDOYiEcbrlmZiNSM221iGJBdVI5RMcpl/c5Cvvxn/1+UHUgg5SQYOSTjSVYmG7uIM/KINfKJwzMfeJyRRwz52IxD+xvsNC3kEUqBGUIRQRQSTJHpuS00gygi2LPe9NwWmcEUVGzzVsCz3kaGvayf0yI2hNAAG3PWZXHpgBa896enY/mAVrH8uSGblBjPEPKh7RL4O20Xny/cisWA5Mj9Xz/teV1e6eSuSfy4bN9/A9+0P8eJ1oXc77iKcU88X+1xXyQnswvLuO79hRzfMYElW3KZtmL3tVvH5AgGto7l7TnVR0IdqqfP7saXi7ZS7nQTGxbI9IprxQCrhTn3DuOYJz0FE38/cAIJEUfmSEafJyeXLl1aZdk0TdLT0xk/fjwOh4M//vjjsIPan08++YRLLrmEV199lUGDBvH666/z1ltvsXLlSpo3b37Q/Y/05GTlPBciNbXk4ZOIDK7f4ZNZhWWEBdr4bMEWHvxmRb2eS2rHwE0gjt0/RjlBOAikvGLZQVDlfRwEGZX3y73LJgZTXMPYaiZg4MZa8VNT+5pHZ9/rDrxv5f037c9xgtXT1dFhWikgmGKCKDPtnoYyhosAnIRTQqBxaM1Oykw7WUSwywxnlxlBdsX9bDOSbDzrdpnhZON5n/kx4H4yzBiuc9zBOrNZlWMN75hAZHAAIzoncmKnRAzDYMuuYnKLHbRNDCM9r5TUPSrMypwuVm7PZ0d+Gel5JbUaVpdf6iDYbsVutdDlvs+YG3gLEUYJX7gGM9PVAyrmfAs3ivdIOhYTbhQTUbEcQZF3/eEkavfn+LJn+XXcNXV+3NravCOL5q+1BqBb6ZvkUxdDO01vMyM7Lm+Do8rfS1uVhkaV/5dc2HBjNVy8bn+BcKNkv1UKDW3TmiW0+Og48s0QupW95etwAIgnhykBj9Paku7rUKrpWvoWBYT4OgyGWhYzOeBplrlb0nWsf1SZXvfAI7we8IKvw9i3OqhSEpGGt2VXMTnF5eSVOPhuyXbyShwc2ybusK5FDNxEUkRcRQPDOPKINgqIpIgoo7DitogIo4goComsuA06xM+b+9Ky9KM6O9bh+MD+BMdaV3C3+2aeHVt9ar+GTE6apsmm7GKGPjurXs9zqEICrKwcO9LXYdSLus6v1XrOyR49eni7k+6pf//+vPPOO4cd0IE8//zzXHXVVVx9tadD5YQJE5g2bRqvvfYa48aNq9dzNwadjTRsftLpsKEZFVU8dsNFF2MjOYSzwZ2MgYkF03NrVNzixuJdv/u+Bbd3e+8+e2yz57f3e6dOjL0aAtSmuqLasao9XvPta1NhsNWMZ+bqHpzRs+67LJqmydacEq6YPJ91mTWrpk4mmxaWHTXYcu9z1a6iqbY1GLWdhLo+jx9uFJNo5BJI+e6koVGRONzv8h4JR8NRJbm4Z8Xa4bjZ9g1u08DiZ40x7IaLGAqJoXC/pVAu0yCfUO8QnJyKpGL2HgnGvROPns6ENf93O6bsVYoJxKyoTlwwZvgBpwdIiQkhxTP7RJXEJECgzUrP5ofWXXvPRjWFhPC482Ketr/J2dbZnG2dfUjHBCgyAykghAIzhEKCKTCDK249y5XrCgih0Nz38mjrXAxM+h/T/5DjqEuREZHkmqFEGUW8FfAsmWYUdm9isaJruuGqWOdZDtjPeu9+Rt3MX+kvE+OvzSyiBRBhFDPaMrciMk90lope3hbDXX1dxZcXey4bFRd9Vd97PeuqH2//215u/fmQv3Sob9fYvifTrP3/XWOP13Xv++y13nKAxyrvt7V4RpLkm/4zl+Isd3d+d3VlkGV5td9ui2HiruX7/J4O5V3paGryJHKk8nyW8nwhNLjt7mG4lwxoSanDxRf/bCUhPIiHvlnOOX1SSMsqIiY0gJO7JvPW7A38smqHd3RgJRMLuYSTa4azrhZ/JgIp9yYwwykmzCgllBJCjVLCKCGUUu9IE886z+NhhuexPb9wG2BZscf75u5r1j1/qq6j2vbstU3lNXKlyvv7GoFQeXus1ZPkHdmjVa3+XQ5XcbkTm8XC89PXMPG3qnN7VnZ2r1T5ecmstlx1PTXcbu/1+z5G9X02OpIP81kfPWqdnNy4sWoprMViIT4+nqCg+i1VLS8vZ+HChdx3331V1p900knMnTt3n/uUlZVRVrZ7vq/8/NrNJ9GYmKbJOwFPk2jk1mBrEY8Rn8ZwRs8b6vSYv6/ZyaXv/F1tfTCltDa209bYRlMjiwQjlwQjl3gjlzjyaGGpPgRbGo7LNCitaLpSSgBlpp0yAijFc1u5XIbds40ZQDfLerpWNHfxp8RkjhnGSWVPYcEk3CgmlFICcOLESjk2nFgpIpg8M5RCgrxJw7r0n97NaJMQxvifVlNEMACX9G/BY2d0qfNzHYrZ9wxj8NOwzYzjP9bfaWJk4zYtlGOjgBDyK5KHBWZIxW0w+RXDkQoIJn+PZKQL62HH86FrOAAzjvWPBgthgTamuzsx0jqfYyz/1tt5nKanadGeDY28t+buBkZOrHSwbGGHGcXXrkE8VG8R1VxqkwTv/f8FvOzTWPb2ovMsXnaeUWXdwaqv96dm2+zfgsAbiDUKuNX29UGP05B2ElmDrRrGpKsHc+FbATXYsmFYcPOA7UMWuNsz0dfBiEidC7JbuahfCwBO7JRY7fFjUj3fEGcWlGKakBgRRHG5k1s+WkRadtF+pyTZnzICyCRg9xdUtfzIfJxlCe8FPAXAxwH+1YB4W/rBm0PWlfS8EgaM+3WfjzUhi+mB9zRYLLXxhONC4HJfh9Eo1Do52aJFi/qJ5CCysrJwuVwkJlb9A5KYmEhGxr7nQhg3bhyPPvpoA0XoW4ZhkG7G4Kj9P+kRw2FaKcdO+4qqgDR3Iu49vjdy71Fr4a74Mb23Fu867zbmno8b1S5Q9v2tyb4e23u/fW/nUfNta3r+fRlsWUa4UUKMUXDA7WrDNE1S7//RuxxIOUMtSxhkWU5/y0raWWo2D8xad80rOWs7F1V9z13VEPHkEs52M6ZKAtGbNDTt3gRjtWVzj0RjRXLRm2gk4JATTBEUEUJpRQLF4u0Mvffv4L6e677XVXew+eL23qeYIO/fwh1mTI2fy8FMvLgXm7KLcZvw1NTVfH3TIHqkRPHu3DSCA6yc2yeFDTsLsVst3m/rrx/Sus7OX5dSYkJIigjij/yu/OHuWoM96k7/VjF0aRLJrDU7q1RWn9w1iVZx/lHNZbUY3OG4gTnuLhWJbQtObDj26IbuqEh0e+5bcZqexyvXOyoec2LDYe6x3R6P1z4xbnL78HY12K7+RSc25znHfxhoWemt09t9W/leCu4qtZF7vq/ireFwe8cu7PGebdZi2z1uC8wQ3nOd5Defh+51XMsZ1jkV0R+aPesgdz939ngN2F0jaVZdX7WexrNcjp0PXMM546BnbhgD2/hHJ/NKbiw87rzE12GIiI8lhO8uvgoJsPH25X2rbeN2m+wqLiciyM6Hf20iJjSApIggPlmwhbxiBzMq5r8f2DqWQJuFmf/urHUcf7k7Mt3Vi1ZGuvcz9u7xflR7T9z7fbHyM7nb3P/2le+v7KNS0KNqReAQy1IWutvyras/l9X6GdVedmFZlcRkEGUMsyxmkGU5Aywrq1SXznV18kZeObpxfyMT964SPdj6fV1/HGyfXeaRN51gfanxJ7dff/2Vm2++mXnz5lUbT56Xl8fAgQOZOHFijZvTHKq9ux0dqAPS/fffz5133uldzs/PJyUlpV7j86Uzyh/3dQjSSEwNuJcOxhauHdyyTo6353ynqUY611i/51TrPO/kzZWyzAjWupux2Uwgkyh2mNFkmZHkEUq+Gcoas5nfXFBKzeQTWkfz8dWtNy/twyPfrtjvxN8vX9iT4zskcPNHi6o0Trp3ZAdO655Ms+jdc8OVOV0E2qomb28YujvpeNnA3f+PWvm4y3RtzHvghEOaq3hg61iaRAXzw9J0ejaPYmj7eK49rjXrMgv5bOEWAm1WhraP56rJ8zm9R1MeOLnjPjsUj6m43bubs78oIYgPXCf6Ooy9GH6TnAwLtPGS6yxecp3l61CqiQsL5PpBLQm2Wzn/mBScbpPPFmzlnTkbyS0u556RHdiWW8I1g1sRGWxn864i/tmcCyZ8vXgbx3dI4PEfVnmP98qFvUjPKyGvxMH1Q1ozbUUGd366e77Gga1j+eia/hSWOdmaU0xMaACLNucybUUGX/4Dv7h7++iVaDwWjBlOn8d/oU+LaBZsygFg8hV96ZcaS2GZk/jwQOZtyOb8N+Z595l4cS+u/8DTRPG9K4/hj3VZRATb+XrRNga1iWNnYRk/LN19wVrZOOLKQakc2zaWfqmxzFmXRWlF00WX26TM6abU4SK32EHLWP97bxMR/2KxGN6pevacB7xfq9h9br9sax5x4QFszCqisNRJ89gQWsSE8uzP/9KtWSS3TVkMwCfX9qd3i2isFoO+T8zgmsK7G+gZ1c5rw+p3RFBesYPuY3/2Lrc1tnKN9QdOtv5FmFFaZdt0M4aJztN41zWiXmM6FM/5OoBGosYNcUaPHs2wYcO444479vn4//73P2bOnMlXX31V1zFCxbDukJAQPvvsM84880zv+ttuu43Fixfz22+/HfQYR3pDnHE/reL13zbUYEs52v0UcB8dLZtZevy7dDvu0Gsn5qft4pyJfwIQTT4P2D7iLOts73xNW804prt6M8/diQXudmT70TCyo8GNQ1vz2m/rCbBa6N0imrnrswE4pWsyPyxLJzUulMfP6MLva3dy90ntsRgG5U43v63JZECrOIodTsICbWzPLaV9UjhZhWXV5kq8/8tlfLZgCxf3b8GQdvEMbR/P4i25jPtptbdbOUB4kCfpXFDqmefy2XO6c3LXJILtVuan5dCpSQQ2i8En87cwtH08QXYr6zMLaRYdwin/m03BHl3OJ17cu1rX8qgQO9/cNIg567I4v29zrJbaz1FWVOYkNPDoSo5vzi7ms4VbuGJQKoE2Cws25dCnRTTz03YRExrAuB9Xc2bPppzbt/Zf7B3oy8PGYO9qcIDHTu9co8n0LxvQgiuPTeXuz5YQGWzn1hPakpZdTEp0MG/N2cjaHQU8OroLK7bnsWVXMe9WdNqccF4PMvJLGdo+nkWbc3l3bhrdm0Vht3n+b955YnuSIv2n42PrB37EtfekXH5g47iTG+x3L6eonOjQ/Q9J9tdmhbPvGeat8PY3m7OLCQuyEbOP13XJllx+Wp7BrSe0ISTg4H+vi8ud5BQ7KCx10j7Jtx3uRUQOZldROTarUWWe8H19Hmko3ZpFsnTr/huDbXjyZCz7+MxdVw1xKt9D48lljP0DTrP86Z1KarM7nl/cvZnr7swCdzty8c+/8ft7jY4EPuvW3aJFC6ZOnUrHjh33+fjq1as56aST2Lx582EHtT/9+vWjd+/evPrqq951nTp14vTTT69RQ5wjPTkJUO50c+arf7Biu2d+zYVjhrM6o4DmMSEE2ixEBNt5e85GnpnmmUPrrUv70KdlNKszCuiYFMGsNZm8MnMdz5/bg9bxYXR8aCpxYYF8d8sg4sICMYBNu4rJKijDZZokRQSRGhfqvQjILixjdUYBEUF23p6zgeXb8wkJsPLuFccQFWKvcrFQXO7k9zVZBNotXDFpPpf0b8EdJ7ZjyvzNzN+4i36tYnG5TaJC7Jzftzk78ktZv7OQtKwiT1Mm4MVf1vLfUzpwRo+mlDrcBAdYSc8rIaugnK7NInG43PyzKYc2CWH0fvwXqLj4G9gmluiQAOwV1Tput4lheCpzt+WWsD23hIggO20SwrAYsDWnhF9XZ9KlaQS3fryY2LAAvrpxEC63ySVv/0XH5AgeGd0Zt9tkY3YRreJCyS12UFDqpElUEF/8s5VJf6Qx6Yq+JEcGsyO/lITwQAzDwO02+W3NTtonhRMZbCckwIrTbbJ0ay7P/byGNy7tQ7Ddyl8bs/l74y7O7tWMplHBGAYs2pJLudNN/72+nXO7TXKKy3G5TeIrzlP52p3QMZH1j/WgtWsjS4dNotuQQ6t62Z5bwsDxnvL6oZZFPGefSGzFMPHprl687TqZv9wdajVs8dHRnWkeE8KaHQVcMqAFVovhrVj7a0M2570xj4ggG5OvPIY7P1nMw6d1ZliHBKYuz/Amq249vg0nd0smNjSQojIn577+J+0Sw5mzLguAvx84ARPo9+QMAMIDbRSUOTmrZ1MeOb0zxWUufl2dyQNfLQOgT4toPr62P0/8sIpfV2eyeVcxACd0SODNS/tQ6nQREmBjY1YRq9PzWbwll9d/3/0lwdonRlX5PZu9Lou3Zm9g9tosxp/VlXP7pOA2TWb9u5PteSWc3r0p4UE2zn9zHn9v3MX7Vx1DYkQQWYVluNwmPZtHE2y3srOgjJjQgGoVaS9MX8OfG7J5/6pjqlX7ffjXJtymZ+7DxmjDTs8Q4FbxYewqKueZaau5fXg7EiP8J1kjR6a9E61/bcgmPMhOWnaRd76qOeuy6NMimvA9LiiOdKZpUlDmxGIYzE/bRXRIAJuyi4gOCWBQmziyC8tIiAhi0eYcMvJKMQywWSwMbR9PYZmTe79Yyo78Mp49pzspMcEE2qwsSNvFP5tzWLk9n7tOau9NoFW+T5c4PH9zSx0ufl65g+PaxnHt+wtZvCWXx0/vQreUSDok+c9nvAVpu3jkuxWMPb0LreJCCbJbefS7FZzTJ4U2CWFMX7GDTbuKubhfcxIigkjPK+F/M9Zxx4ltqwwpBCgsc1Jc5mRjVhH3frGU03s05aZhbbj9k0Vsyy3lhiGteez7lTx4aicGtIplVUY+zaKDeWdOGlcMaklKTEij/9JARORoVFTmpLjcRXx4IK//tp6fV+7gvSuP8X6pXuZ0YbdY2LyrmBaxIcz8N5PPFmzl4v4tKHe66ZgcQUiglQCrBYfLjc1iwW2ahAbaeGfORrbmlHD3iHb896vlfLXIMxVX5Rd97/2Zxqr0Ah4/owvbckqYn7aLyGA7TaOD6Zi87/fbw01OljvdtBvzEwAjLPN5yv4GUYZnrs+fXH152zmKBWb7fU4IVfnl254jnwrLnMzfuIs+LaNZlV5AVmEZg9vGEWCzEGizsmJ7Hqf8bw4Av9x5HPHhQUQGez7P5ZU4WLY1j0FtYqu8f2YWlHL9+wu5uH8LhndK5PXf1tOtWRTzN+7iymNTiQkNIMh++POy+zOfJSeDgoJYvnw5bdq02efj69ato2vXrpSU7HsIXV345JNPuOSSS5g4cSIDBgzgjTfe4M0332TFihU1mgvzaEhOUvHHaeryDAa1iTtgR1h/UlLuIjigfv/zZuaXsmlXMX1bHt4cdJX/ZRrzh/v1j/WktWsDS4e+Q7ehZx/SMSq/ybrK+gP/tX2ExTBZ5U7hAcfVLDLbVtn2yTO7EhViZ2j7eL5dvJ0p87fw/LndSYoMqlHlQ6Xl2/JIiQ4hMqTuLv535Jfy5/psTu6aXC3Rtz23hMSIoCpVeP9mFJCRX8qQdvH7OJqH0+VmydZcEsKD/LYyRUTkSOF2mzjc7mpfyIiIiEjDO5zkpNPlps1/fwJMbrJ+w//ZPwVgubsl9zquYYW5/+aJix488YCjGQ5k7Y4CEiJ2JyXl4Oo6v1bjrEDTpk1ZtmzZfpOTS5cuJTm5ftukn3feeWRnZzN27FjS09Pp0qULP/74o8+a9PirQJuV03vUvKmIP6jvxCRAQkQQCXVQYdWYk5KVvBMc1+y7iWpmVszRd631Ox6wfwzAR87jedh5eZU5I7+4YSC9W0RX2ff8Y5pz/jHND+m8XZrW/bDwxIggzui57/8vTaKCq61rnxR+0KFhNquF3i3qrhGLiIjsn8ViEGhRYlJERKSxq5xb+FbrV9xp/xyASc4RPOG8COde6auXL+zJvxkFXDko9ZCTkpXaJvrnsPCjSY2TkyeffDIPPfQQo0aNIiioaoKnpKSEhx9+mFNPPbU+Yqzixhtv5MYbb6z384gcyUxvxzV3rfctLndyxeT5jLb84U1MPus4h5ddZwAGAVYLEy/pRf9WsbWqihQREREREZGjU3G5kwWbcjjPOtObmHzMcRFvu07xbvP6Jb0Z0TmJUoeLILuVU7v5MGCpUzXOHIwZM4Yvv/ySdu3acfPNN9O+fXsMw2DVqlW88soruFwu/vvf/9ZvtCJSRzzJSeMQKicvnzSftsZWxtvfAmCi8zRednmaVK15fNQ+u/KKiIiIiIiI7E+nh6bR2djIWNtkACY4z/ImJk/pmswL5/XwXmse6fM5Ho1qnJxMTExk7ty53HDDDdx///1V5t0bMWIEr776KomJifUZq4jUEbNiaHoNp5z1crtNFm7cyTcBrxJilPG7qytPO88DIG38KQfdX0RERERERGRPbreJHScT7K8SaDiY7urFi05P49Z1T4zCZlUBzJGuVmMuW7RowY8//khOTg7r1q3DNE3atm1LdHR0DfYWEX+xe87J2g3rvuuzJVxm/ZkuljTyzBDudNyIGwvLHjmpfgIVERERERGRI5ZpmrR64EdutP5AW8s2dpoR3O24HhOLCmCOIoc0IVx0dDR9+/at+2hEpEEcSkOcwjInvy76lzmBnvk/xjsvIItI3r3yGMKD1NVMREREREREamd1RgHx5HCL7SsAHndcTB5hLHrwRF+HJg1ItbEiR6XKhjg1T052eXga19h+INwoYaW7BVNcw3jx/B4MaRdfj3GKiIiIiIjIkWrUi7O53vY9wUY5C91t+cY9iO9uPvawO3BL46LkpMhRqHLOyZpWTpY73URSyOXWaVAxObGJhdN7NK3PMEVEREREROQIlVNUTjy5XGT9BYAJzrNpmxBO12aRvg5NGtghDesWkcatcli36a7ZnJMDxs3gHOtvhBmlrHS34Gd3H9Y9MaqeoxQREREREZEjVc/HpnOr9VeCDAeL3G2Y7e5K2p1DfB2W+IAqJ0WOShWVk9QsObmrqNT7bda7rpMAQx3TRERERERE5JBZcXGB7VcAJjlHcFG/Fr4OSXxElZMiR6HdDXFqtv1AywpSLTvIN4P51jWAtaqaFBERERERkUOUX+rgeMsiko1dZJvhTHUfw5ozu/o6LPERlT6JHIV2zzl58MrJV2au4yzrHAC+dh1LCUHYVTUpIiIiIiIiezFqsA3AvZ8v5cyK68wvXMfRtklsvcYl/k0ZBpGjUsWckzVoiPPitOWcaFkIwHeuAaSNP6XeoxMREREREZEj16zlaQyzLAbgG9dAfrh1sK9DEh9SclLkKOQd1l2Dcd2DLMuJMIrZYUaxwGxX77GJiIiIiIjIkWvLrmKOtywm2ChnkzuBFWZLX4ckPqbkpMhRqWbDutPzSjjZ8hcAP7r68evdxzdEcCIiIiIiInKE+nzhVkZZK64z3f344Kr+vg5JfEzJSZGjUOWck+ZBkpMDxs1giHUpAD+7+5AaF9og8YmIiIiIiMiR6eUZqznOsgyAn119OLZtnK9DEh9TcvL/27v36KjKs+/jvz1JGAIkQ8gQQgghnBSUo4kgiiJqAQuixVJBRFCLxdcgUV+q1APYx4IHaq1QsVRl2UfbsPqKaLUoUDVARdCEyFEOyjmEWAkJEggJc79/kAwMCckIQ3Zm5vtZazSz9z17XxOumcm+5j4AYcm/1bovtvYowTqkUuNUjoch3QAAAACAutW2vEEP61vFWqUqNk30lelYn2GhgaI4CYQh4+ew7qsrv81a7emiP4+/sj5CAwAAAACEqIoTHvWvvM78j6ebHh/Wze6Q0ABQnATCkVW1IM7Zi5N7DpbqGsfJId0rPD00sEtCPQUHAAAAAAhFv31/k/pHbJAkrfR0111XsRgOKE4CYcn4Max74HNLle7YKkla6eHbLAAAAADA+Vmwapsus7ZJklZ4usnydpxBOKM4CYSluod1d7F2q4lVpmLTRNtMm/oLDQAAAAAQknpY3yrKOqEDprnG3TjA7nDQQFCcBMKQP6t1X+Y4+W1WnqeTsu5lvkkAAAAAwPmpus7M9XTWL69hMRycRHESCEu1D+s+Vn7C+6GR47lIfTvE12NsAAAAAIBQc/p1Zq6ns93hoAGhOAmEIe+ck2epTq7ecdA7D0iu4UMDAAAAAHB+Jv89V70d2yVJaz2d7A4HDQjFSSAMGavypX+WYd0Pvb5UKY7v5DGWvvLQ1R4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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.figure(figsize=(16, 4))\n", - "plt.xlabel('Time (ms)')\n", - "plt.ylabel('Current (pA)')\n", - "plt.plot(times, values, label='Noisy (fake) data')\n", - "plt.plot(times, problem.evaluate(xopt), label='Fitted model')\n", - "plt.legend()\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Here we followed a two-step process, first estimating sigma from a small chunk of the data and then using this estimate to do the full fit.\n", - "But there's nothing stopping us from inferring $\\sigma$ along with the rest of the parameters!" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "9\n", - "10\n" - ] - } - ], - "source": [ - "# Create an unknown sigma log-likelihood object\n", - "log_pdf = pints.GaussianLogLikelihood(problem)\n", - "\n", - "# This log likelihood has one more parameter than our model!\n", - "print(model.n_parameters())\n", - "print(log_pdf.n_parameters())" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "As before, we can use an optimiser to maximise this log-likelihood, but now we need to pass in a starting point that also includes an estimate for sigma:" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [], - "source": [ - "x0_with_sigma = np.concatenate((x0, [0.3]))\n", - "\n", - "opt = pints.OptimisationController(log_pdf, x0_with_sigma)\n", - "opt.set_log_to_screen(False)\n", - "xopt, fopt = opt.run()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now the returned parameter vector includes an extra value for the estimated sigma:" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Estimated sigma: 0.04993591434653721\n" - ] - } - ], - "source": [ - "print('Estimated sigma: ' + str(xopt[-1]))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "This probabilistic approach opens up new possibilities for investigation.\n", - "For example, we could replace the assumption of iid noise with the assumption that the noise is correlated and would be better described by an [Autoregressive AR1 model](https://en.wikipedia.org/wiki/Autoregressive_model).\n", - "We can then replace our Gaussian loglikelihood by a [pints.AR1LogLikelihood](https://pints.readthedocs.io/en/latest/log_likelihoods.html#pints.AR1LogLikelihood) and compare the quality of fit.\n", - "\n", - "Instead of finding the maximum of the proposed likelihood function, we can also use [sampling methods](https://pints.readthedocs.io/en/latest/mcmc_samplers/index.html) to explore the full distribution.\n", - "If the model fits the data extremely well, this can provide an estimate of the uncertainty in the obtained parameters.\n", - "However, if there is a slight _discrepancy_ between the final model predictions and the experimental recording (as is typically the case in ion current electrophysiology), the results of applying a sampling method are much harder to interpret." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Periodic noise" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In addition to stochastic (additive) noise, we might also look for periodic noise.\n", - "An easy way to spot this is by creating and plotting an [FFT](https://en.wikipedia.org/wiki/Fast_Fourier_transform) or [power spectrum](https://en.wikipedia.org/wiki/Spectral_density).\n", - "\n", - "We start by defining a quick function to calculate a power spectrum:" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [], - "source": [ - "def spectrum( times, current):\n", - " \"\"\"\n", - " Calculates the power spectrum (or spectral density) of a (regularly spaced)\n", - " time series ``(times, current)``, and returns a tuple ``(freq, power)``\n", - " where ``freq`` contains a list of positive frequencies, and ``power``\n", - " is the associated spectral density (if current is in \"units\", the power will\n", - " be unit \"units**2\").\n", - " \"\"\"\n", - " # Import fft functions\n", - " try:\n", - " # Latest scipy\n", - " from scipy.fft import fft, fftshift, fftfreq\n", - " except ImportError:\n", - " from scipy.fftpack import fft, fftshift, fftfreq\n", - " \n", - " # Length of time series (assuming len(times) == len(current))\n", - " n = len(times)\n", - " \n", - " # Time-step (assuming points are equally spaced)\n", - " dt = times[1] - times[0]\n", - " \n", - " # Points in the FFT\n", - " points = fftshift(fft(current)).real\n", - " \n", - " # Frequency of points in the fft\n", - " frequency = fftshift(fftfreq(n, dt))\n", - " \n", - " # Select positive points\n", - " positive = frequency > 0\n", - " \n", - " return frequency[positive], points[positive]**2\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Using this function, we can have a look at the start of Cell 1's data again:" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# Load Cell 1 from Beattie et al.\n", - "log = myokit.DataLog.load('./res/sine-wave-data/cell-1.zip').npview()\n", - "\n", - "# Isolate a \"flat\" bit of signal, by chopping off everything after t=250\n", - "# During this time, V is fixed at -80mV\n", - "log = log.trim_right(250)\n", - "\n", - "# Calculate the power spectrum\n", - "times = log.time()\n", - "current = log['current']\n", - "freq, points = spectrum(times * 1e-3, current) # Using time in seconds to get frequency in Hz\n", - "\n", - "# Show the results\n", - "fig = plt.figure(figsize=(16, 4))\n", - "\n", - "ax = fig.add_subplot(1, 2, 1)\n", - "ax.set_xlabel('Time (ms)')\n", - "ax.set_ylabel('Current (pA)')\n", - "ax.plot(times, current * 1e3) # Convert from nA to pA\n", - "\n", - "ax = fig.add_subplot(1, 2, 2)\n", - "ax.set_xlabel('Frequency (Hz)')\n", - "ax.set_ylabel('Spectral density (nA^2)')\n", - "ax.plot(freq, points)\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "So it looks like there's no particular frequencies that dominate the noise in this recording.\n", - "\n", - "Because we recorded at a sample spacing of $0.1\\text{ms} = 10^{-4}\\text{s}$, the highest frequency observable in the signal is half the sampling rate, so $\\frac{1}{2} 1 / 10^{-4}\\text{s} = \\frac{1}{2} 10\\text{kHz} = 5\\text{kHz}$.\n", - "Notice that the [Nyquist-Shannon sampling theory](https://en.wikipedia.org/wiki/Nyquist%E2%80%93Shannon_sampling_theorem) says something stronger than that; it says that _even lower frequency signals_ can't be reconstructed from a digital recording if frequencies higher than half the sampling rate are present in the signal.\n", - "A common way to ensure this is the case, is to use low-pass filtering before digitisation (so this is an example of online filtering that we cannot escape!).\n", - "Looking at the [published raw data files](https://figshare.com/articles/Sinusoidal_voltage_protocols_for_rapid_characterization_of_ion_channel_kinetics_supplementary_experimental_data/4702546/1) for this study, we can inspect the meta data (e.g. using [Myokit's DataLog viewer](https://myokit.readthedocs.io/cmd/log.html)) and see that this signal was indeed low-pass filtered at 5kHz before digitisation." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now let's look at a different recording:" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# Load Cell 7 from Beattie et al.\n", - "log = myokit.DataLog.load('./res/sine-wave-data/cell-7.zip').npview()\n", - "\n", - "# Isolate a \"flat\" bit of signal, by chopping off everything after t=250\n", - "# During this time, V is fixed at -80mV\n", - "log = log.trim_right(250)\n", - "\n", - "# Calculate the power spectrum\n", - "times = log.time()\n", - "current = log['current']\n", - "freq, points = spectrum(times * 1e-3, current) # Using time in seconds to get frequency in Hz\n", - "\n", - "# Show the results\n", - "fig = plt.figure(figsize=(16, 4))\n", - "\n", - "ax = fig.add_subplot(1, 2, 1)\n", - "ax.set_xlabel('Time (ms)')\n", - "ax.set_ylabel('Current (pA)')\n", - "ax.plot(times, current * 1e3) # Convert from nA to pA\n", - "\n", - "ax = fig.add_subplot(1, 2, 2)\n", - "ax.set_xlabel('Frequency (Hz)')\n", - "ax.set_ylabel('Spectral density (nA^2)')\n", - "ax.plot(freq, points)\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "This shows some very different characteristics!\n", - "\n", - "In the power spectrum plot on the right, we can clearly see two peaks around $3.2 \\text{kHz}$.\n", - "These are most likely from some piece of electronic equipment in the same room or, if the noise is transmitted through the mains or the grounding, somewhere else in the building!\n", - "\n", - "In the direct plot on the left, we can also see what look like some lower frequency periodic effects.\n", - "We can do a few zoomed plots to get a clearer picture:" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig = plt.figure(figsize=(16, 4))\n", - "\n", - "ax = fig.add_subplot(1, 2, 1)\n", - "ax.set_xlabel('Frequency (Hz)')\n", - "ax.set_ylabel('Spectral density (nA^2)')\n", - "ax.plot(freq, points)\n", - "ax.set_xlim(0, 200)\n", - "ax.set_ylim(0, 20)\n", - "ax.set_xticks(np.arange(0, 210, 10))\n", - "ax.grid(True)\n", - "\n", - "ax = fig.add_subplot(1, 2, 2)\n", - "ax.set_xlabel('Frequency (Hz)')\n", - "ax.set_ylabel('Spectral density (nA^2)')\n", - "ax.plot(freq, points)\n", - "ax.set_xlim(3060, 3240)\n", - "ax.set_xticks(np.arange(3060, 3260, 20))\n", - "ax.grid(True)\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Starting on the right again, we see two large peaks at around $3115 \\text{Hz}$ and $3170 \\text{Hz}$.\n", - "If we assume this noise is from something man-made, we might expect the frequencies to be nice round numbers, so it can be worth googling our frequency estimates to see if anyone knows what's causing them!\n", - "Judging from the fact that we see these clear signals in cell 7, but not cell 1, we might suspect it's something that gets switched on and off during the day, but it could also come from something like a fridge which switches itself on from time to time.\n", - "\n", - "On the left, we see a peak of unknown origins at $10 \\text{Hz}$, but also one at $50 \\text{Hz}$, which is a clear example of [\"mains hum\"](https://en.wikipedia.org/wiki/Mains_hum)." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "So how do we use this knowledge?\n", - "\n", - "One option, especially when the peaks are as sharp as shown above, is to digitally filter out one of the frequencies.\n", - "We could also try fitting sine waves and subtracting them from the signal, or including the sine waves in our (noise) model.\n", - "But we could also observe that the strongest peaks are of a much higher frequency than what we expect from the current of interest, and that the lower frequency peaks are quite small.\n", - "So it might be fine to just leave the noise in, avoiding the risk of our \"corrections\" making things worse, and to present the data to our optimisation routine as-is.\n", - "Zooming out and observing the whole signal, this doesn't seem too bad an idea, and indeed this is the approach we took in e.g. [Four ways to fit an ion channel model](https://doi.org/10.1016/j.bpj.2019.08.001)." - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# The full signal for cell 7\n", - "fig = plt.figure(figsize=(16, 4))\n", - "ax = fig.add_subplot(1, 1, 1)\n", - "ax.set_xlabel('Time (ms)')\n", - "ax.set_ylabel('Current (pA)')\n", - "ax.plot(log.time(), log['current'] * 1e3)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Uncertainty quantification and model discrepancy\n", - "\n", - "It's quite tempting to use noise models as shown above to defined a likelihood function, explore it with uncertainty quantification (UQ) methods such as [MCMC](https://en.wikipedia.org/wiki/Markov_chain_Monte_Carlo), _and then to interpret the result as information about the certainty of our inferred parameters_.\n", - "\n", - "This works well if there is no _model discrepancy_. In other words, if the model is able to draw a line through the data perfectly, such that all deviations from this line can be attributed to stochastic (or periodic) noise, then we can use UQ to investigate the uncertainty in our parameter estimates due to that noise.\n", - "\n", - "However, in many cases the mismatch between the best-fit model and the data does not look like it was generated by an additive stochastic (or periodic) noise model.\n", - "To illustrate this, we look at the Cell 1 data again, and superimpose a simulated result with parameters obtained from a fitting experiment." - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [], - "source": [ - "# Load Cell 1 from Beattie et al.\n", - "log = myokit.DataLog.load('./res/sine-wave-data/cell-1.zip').npview()" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [], - "source": [ - "# Load the model\n", - "model = myokit.load_model('./res/beattie-2017-ikr-hh.mmt')\n", - "\n", - "# Load the steps in the sine wave protocol\n", - "protocol = myokit.load_protocol('./res/sine-wave-steps.mmt')\n", - "\n", - "# Update the model to add in sine waves\n", - "c = model.get('membrane')\n", - "v = c.get('V')\n", - "v.set_binding(None)\n", - "vp = c.add_variable('vp')\n", - "vp.set_rhs(0)\n", - "vp.set_binding('pace')\n", - "model.get('membrane.V').set_rhs(\n", - " 'if(engine.time >= 3000.1 and engine.time < 6500.1,'\n", - " + ' - 30'\n", - " + ' + 54 * sin(0.007 * (engine.time - 2500.1))'\n", - " + ' + 26 * sin(0.037 * (engine.time - 2500.1))'\n", - " + ' + 10 * sin(0.190 * (engine.time - 2500.1))'\n", - " + ', vp)')\n", - "\n", - "# Create simulation\n", - "sim = myokit.Simulation(model, protocol)" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [], - "source": [ - "# Simulate using the parameters from Beattie et al.\n", - "p = {\n", - " 'ikr.p1': 1.98e-4,\n", - " 'ikr.p2': 0.0593,\n", - " 'ikr.p3': 7.1688e-5,\n", - " 'ikr.p5': 0.0493,\n", - " 'ikr.p5': 0.1048,\n", - " 'ikr.p6': 0.0139,\n", - " 'ikr.p7': 0.0038,\n", - " 'ikr.p8': 0.036,\n", - " 'ikr.p9': 0.1351, \n", - "}\n", - "for k, v in p.items():\n", - " sim.set_constant(k, v)\n", - "d = sim.run(8001, log_times=log.time())" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# Show the data for cell 1, and superimpose a simulation\n", - "fig = plt.figure(figsize=(16, 4))\n", - "ax = fig.add_subplot()\n", - "ax.set_xlabel('Time (ms)')\n", - "ax.set_ylabel('Current (nA)')\n", - "ax.plot(log.time(), log['current'], label='Cell 1 data')\n", - "ax.plot(d.time(), d['ikr.IKr'], label='Best-fit simulation')\n", - "ax.legend()\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Finally, we can plot the residuals:" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig = plt.figure(figsize=(16, 4))\n", - "ax = fig.add_subplot()\n", - "ax.set_xlabel('Time (ms)')\n", - "ax.set_ylabel('Remaining mismatch (nA)')\n", - "ax.plot(log.time(), log['current'] - d['ikr.IKr'])\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Clearly, this is not an iid normal noise signal." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Interpreting MCMC results\n", - "\n", - "So what does it mean when we explore a fit to data with UQ methods?\n", - "\n", - "Using for example MCMC to calculate the probablity that the data was generated by the sum of a deterministic model (with an imperfect best-fit as shown above) and a stochastic iid noise model, **will** let us confirm that a given set of parameters is more likely than its neighbours.\n", - "Similarly, if we have two similar methods, and one of them provides tighter confidence intervals than the other (defined in the same imperfect way), then we **can** conclude that one method provides more certain estimates.\n", - "\n", - "However, the **absolute values** returned **will not** be informative, because they are the answer to the question: _how likely is it that the residuals shown above were generated by a stochastic iid process_.\n", - "To which the answer is: very unlikely.\n", - "Similarly, the absolute widths of confidence intervals determined in the presence of model discrepancy are not necessarily informative.\n", - "\n", - "Given that biological experiments provide very limited control over experimental parameters (i.e. native processes going on in the cell), and that models are _by definition_ simplifications, model discrepancy is not going anywhere soon.\n", - "Methods to perform and interpret UQ in the presence of model discrepancy are an active topic of research, and will likely remain so for some time to come." - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.13.11" - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} diff --git a/tutorial/appendix-d/5-leak-correction.ipynb b/tutorial/appendix-d/5-leak-correction.ipynb deleted file mode 100644 index 92d8063..0000000 --- a/tutorial/appendix-d/5-leak-correction.ipynb +++ /dev/null @@ -1,231 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "e7fdae0f", - "metadata": {}, - "source": [ - "# Appendix D5: Leak correction\n", - "**Appendix D discusses remaining noise and errors**" - ] - }, - { - "cell_type": "markdown", - "id": "22f7aaad", - "metadata": {}, - "source": [ - "I don't know!" - ] - }, - { - "cell_type": "markdown", - "id": "866c6899", - "metadata": {}, - "source": [ - "See also:\n", - "- Endogeneous currents\n", - "- Gating currents? (~100x smaller than ionic currents)\n", - "- Protocols to remove or quantify \"leak\"\n", - " - Subtraction protocol\n", - " - Leak ramp" - ] - }, - { - "cell_type": "markdown", - "id": "4a3c522f-0701-4ee2-813d-38b24f338259", - "metadata": {}, - "source": [ - "## Some ideas\n", - "\n", - "Below are three sketches of a patch, and ideas about where leak may arise." - ] - }, - { - "cell_type": "markdown", - "id": "32babedd-5c83-401b-a84a-cff5abc5281a", - "metadata": {}, - "source": [ - "" - ] - }, - { - "cell_type": "markdown", - "id": "f20d5bd2-cd68-4226-9321-5df7479b4981", - "metadata": {}, - "source": [ - "On the left, the pipette (and other electrode components) contribute a resistance $R_e$ or equivalently a conductance $g_e$, which arises mostly in the narrow tip.\n", - "Access to the cell contributes another resistance $R_a$ or equivalently $g_a$.\n", - "When the seal was made, membrane was sucked into and around the pipette, so that any contact with the bath would be at a point between $a$ and $e$, which we've labelled $V_1$.\n", - "The leak is indicated with an orange arrow from this point to the bath.\n", - "\n", - "In the middle sketch the seal is much looser, and part of the \"seal\" is made up of debris.\n", - "In this scenario, there are two leak currents: one from the pipette tip through the debris into the bath, and one from the inside of the cell to the bath.\n", - "In this case, we could also imagine the debris to have a capacitance.\n", - "We could also draw a capacitance for the connection from the cell to the bath, but this would be indistinguishable from a slightly larger $C_m$, so this is left out.\n", - "\n", - "On the right, the pipette and cell still contribute $g_e$ and $g_a$, but now, perhaps because of debris again, the leak current is from the cell interior directly to the bath." - ] - }, - { - "cell_type": "markdown", - "id": "7b50fa7e-9aa4-4567-bf70-a92b6438206c", - "metadata": {}, - "source": [ - "## Equations 1: No $C_1$\n", - "\n", - "Because the left and right schematics are a special case of the centre panel, we'll only treat the more complicated schematic.\n", - "To start, we'll leave out the capacitance $C_1$.\n", - "\n", - "The total leak current is given by\n", - "\\begin{align}\n", - "I_L = g_1 V_1 + g_2 V_m\n", - "\\end{align}\n", - "\n", - "The sum of currents at the $V_m$ node is\n", - "\\begin{align}\n", - "g_a (V_1 - V_m) &= g_2 V_m + C_m \\dot{V}_m + I \\\\\n", - "V_1 &= \\frac{g_a + g_2}{g_a} V_m + \\frac{I + C_m \\dot{V}_m}{g_a}\n", - "\\end{align}\n", - "where $I$ is the current of interest.\n", - "Combining, we find\n", - "\\begin{align}\n", - "I_L &= \\frac{g_1(g_a + g_2)}{g_a} V_m + \\frac{g_1}{g_a}(I + C_m \\dot{V}_m) + g_2 V_m \\\\\n", - " &= \\left(g_1 + g_2 + \\frac{g_1 g_2}{g_a}\\right) V_m + \\frac{g_1}{g_a}(I + C_m \\dot{V}_m)\n", - "\\end{align}\n", - "\n", - "For the **left schematic** we set $g_2 = 0$ to find\n", - "\\begin{align}\n", - "I_L^\\text{left} &= g_1 V_m + \\frac{g_1}{g_a}(I + C_m \\dot{V}_m)\n", - "\\end{align}\n", - "\n", - "For the **centre schematic** we can lump the unknown g's together to find\n", - "\\begin{align}\n", - "I_L^\\text{center} = g_x V_m + g_y (I + C_m \\dot{V}_m) \\\\\n", - "\\end{align}\n", - "\n", - "And for the **right schematic** we set $g_1 = 0$ for\n", - "\\begin{align}\n", - "I_L^\\text{right} = g_1 V_m\n", - "\\end{align}" - ] - }, - { - "cell_type": "markdown", - "id": "5cb75ba4-087c-4b21-b78d-f1ad79067831", - "metadata": {}, - "source": [ - "### Interpretation\n", - "\n", - "- None of these forms introduce a non-zero reversal potential $E_\\text{leak}$.\n", - "- The added term $g I$ would be indistinguishable from a slightly larger current-of-interest, so would be absorbed by the model fit.\n", - "- So in this model only $g \\, C_m \\dot{V}_m$ is a new _and observable_ term.\n", - "\n", - "For a very small current $I$, the derivative $\\dot{V}_m$ would be dominated by membrane charging and discharging, and so this new leak current would appear as positive and negative decaying exponentials after every step change.\n", - "This is not very similar to what we see.\n", - "\n", - "But for larger $I$, would the derivative $\\dot{V}_m$ take on some features of $I$?" - ] - }, - { - "cell_type": "markdown", - "id": "1095caa7-8015-4ee4-91dc-f7c727e721ba", - "metadata": {}, - "source": [ - "## Equations 2: Including $C_1$" - ] - }, - { - "cell_type": "markdown", - "id": "897c6736-ec76-4df7-9635-fcbb05fd1a53", - "metadata": {}, - "source": [ - "In this case we get\n", - "\n", - "\n", - "\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "91442e01-ad23-4035-8a72-9a58646a45f8", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "markdown", - "id": "c1b40bbe-4f94-4909-89f9-27f6732e74a4", - "metadata": {}, - "source": [ - "## Forward simulations\n", - "\n", - "- Foward simulation of sine wave protocol HH IKr, 4-ways params, and $I_L^\\text{centre}$ model without $C_1$\n", - "- Foward simulation of sine wave protocol HH IKr, 4-ways params, and $I_L^\\text{centre}$ model with $C_1$\n", - "- Visual comparison with residuals from published 4-way fits" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "19c68086-d7b4-4ed1-aa0f-1f7af043cb4a", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "f50231d9-187e-4cfd-a430-10b8170f32f8", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "ca1f6e7b-1541-4d17-880a-1c438af6b5db", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "7cdb6bca-2e66-4b42-bd7a-5ac0e582b8f2", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "25d825f0-5ec8-4050-90a6-3a017e907e41", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.13.11" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorial/appendix-d/6-remaining-Cp-artefacts.ipynb b/tutorial/appendix-d/6-remaining-Cp-artefacts.ipynb deleted file mode 100644 index dadeb4b..0000000 --- a/tutorial/appendix-d/6-remaining-Cp-artefacts.ipynb +++ /dev/null @@ -1,44 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "7fb2df6f", - "metadata": {}, - "source": [ - "# Appendix D6: Handling remaining capacitance artefacts\n", - "**Appendix D discusses remaining noise and errors**" - ] - }, - { - "cell_type": "markdown", - "id": "e2ffeda4", - "metadata": {}, - "source": [ - "- Cutting out. Take information loss into account in sensitivity analysis (Clerx 2015).\n", - "\n", - "- Just leave in and let the optimiser deal with it?" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.13.11" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorial/appendix-d/README.md b/tutorial/appendix-d/README.md deleted file mode 100644 index 78ea995..0000000 --- a/tutorial/appendix-d/README.md +++ /dev/null @@ -1,10 +0,0 @@ -# Appendix D: Remaining noise and errors - -1. Strategies for dealing with experimental error [![github](../img/github.svg)](1-strategies.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/1-strategies.ipynb) -2. Stochastic and periodic noise [![github](../img/github.svg)](2-inspecting-noise.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/2-inspecting-noise.ipynb) -3. Liquid junction potential [![github](../img/github.svg)](3-liquid-junction-potential.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/3-liquid-junction-potential.ipynb) -4. Handling voltage offsets [![github](../img/github.svg)](4-offset-correction.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/4-offset-correction.ipynb) -5. Leak (unfinished) [![github](../img/github.svg)](5-leak-correction.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/5-leak-correction.ipynb) -6. Handling remaining capacitance artefacts (unfinished) [![github](../img/github.svg)](6-remaining-Cp-artefacts.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/6-remaining-Cp-artefacts.ipynb) - -[↩ Back to the tutorial index](../README.md) diff --git a/tutorial/appendix-d/img/leak-extended.png b/tutorial/appendix-d/img/leak-extended.png deleted file mode 100644 index 7b876801822e24ce4319b79a82404b5822c9410a..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 39520 zcmX_o2RPMX`~UYiMp-##Hpd~GY$DRJSF$%{uVj;PDx1PlkxfN5$(|)EBiVaoZ`r&5 z<9&bc|6Et)>Z;>=p69vm`?DUA4>XlX2*3-wz-3IdU@!@xHb@F&@d477nYszshe|E%i3oB{bZz+mcy+ z#)&Nb--~n1zEQ0C`~SVNcMLVtLjU_x;A(bXX4O!Bve9`CeB~BkgPEV93h%@Txc~thmqo0qF{Sq7;_(4HIh&u00|JMue3kwVP z8pU{J;|i}g^CRm5T%rZY;$NaH;DR0QE4;i>;>g`QojQ<|F=<+BMNCAYfk)PTZAs5+ z{nT0mi$Kvg){ko37rVnq=pFC)Z2kB<-!2MWuPx3vtOz_=@PnR1>DA-#gs*U4c(XOa 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--80.0 7000.1 1000.0 0.0 0 - diff --git a/tutorial/appendix-e/README.md b/tutorial/appendix-e/README.md deleted file mode 100644 index 20d76b2..0000000 --- a/tutorial/appendix-e/README.md +++ /dev/null @@ -1,6 +0,0 @@ -# Appendix E: Estimating Rs and Cm - -1. Estimating Rs and Cm; a one-shot approach [![github](../img/github.svg)](1-rs-cm-one-shot.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/appendix-e/1-rs-cm-one-shot.ipynb) -2. Estimating Rs and Cm; an iterative approach (unfinished) [![github](../img/github.svg)](2-rs-cm-iterative.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/appendix-e/2-rs-cm-iterative.ipynb) - -[↩ Back to the tutorial index](../README.md) diff --git a/tutorial/appendix/README.md b/tutorial/appendix/README.md new file mode 100644 index 0000000..928a590 --- /dev/null +++ b/tutorial/appendix/README.md @@ -0,0 +1,53 @@ +# Voltage Clamp (VC) model Appendices + +The tutorials come with appendices, which provide either necessary background or technical details for the main text. + +## A: Laplace transforms and frequency response + +1. The Laplace transform [![github](../img/github.svg)](2-laplace-and-filters.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/appendix-a/2-laplace-and-filters.ipynb), and +2. its use in analysing a dynamical system's frequency response. + +## B: Op-amps in the VC model + +1. Ideal op amps [![github](../img/github.svg)](1-op-amp.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/appendix-a/1-op-amp.ipynb) +2. Models of an op amp with a finite speed +3. VC models based on different op-amp models + +## C: Bessel filters + +3. Non-ideal op amps [![github](../img/github.svg)](3-non-ideal-op-amp.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/appendix-a/3-non-ideal-op-amp.ipynb) +4. Bessel low-pass filters [![github](../img/github.svg)](4-bessel-filters.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/appendix-a/4-bessel-filters.ipynb) +5. Bessel filter ODEs [![github](../img/github.svg)](5-bessel-filter-odes.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/appendix-a/5-bessel-filter-odes.ipynb) +6. Stimulus filter [![github](../img/github.svg)](6-stimulus-filter.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/appendix-a/6-stimulus-filter.ipynb) + + + +# Appendix D: Remaining noise and errors + +1. Strategies for dealing with experimental error [![github](../img/github.svg)](1-strategies.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/1-strategies.ipynb) +2. Stochastic and periodic noise [![github](../img/github.svg)](2-inspecting-noise.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/2-inspecting-noise.ipynb) +3. Liquid junction potential [![github](../img/github.svg)](3-liquid-junction-potential.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/3-liquid-junction-potential.ipynb) +4. Handling voltage offsets [![github](../img/github.svg)](4-offset-correction.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/4-offset-correction.ipynb) +5. Leak (unfinished) [![github](../img/github.svg)](5-leak-correction.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/5-leak-correction.ipynb) +6. Handling remaining capacitance artefacts (unfinished) [![github](../img/github.svg)](6-remaining-Cp-artefacts.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/6-remaining-Cp-artefacts.ipynb) + +[↩ Back to the tutorial index](../README.md) + +# Z: Parameter names and values + +1. Names & symbols [![github](../img/github.svg)](1-symbols.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/appendix-c/1-symbols.ipynb) +2. Default parameter values used in examples [![github](../img/github.svg)](2-parameter-defaults.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/appendix-c/2-parameter-defaults.ipynb) +3. Parameter values, estimates for different amplifiers etc. [![github](../img/github.svg)](3-parameter-values.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/appendix-c/3-parameter-values.ipynb) + +[↩ Back to the tutorial index](../README.md) + + + + + + + + + + +[↩ Back to the tutorial index](../README.md) diff --git a/tutorial/appendix/a-laplace/1-laplace-transforms.ipynb b/tutorial/appendix/a-laplace/1-laplace-transforms.ipynb new file mode 100644 index 0000000..e76e4e8 --- /dev/null +++ b/tutorial/appendix/a-laplace/1-laplace-transforms.ipynb @@ -0,0 +1,612 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "44ff9bab", + "metadata": {}, + "source": [ + "# A1: Laplace transform\n", + "\n", + "**Appendix A provides extra background on path clamp electronics.**" + ] + }, + { + "cell_type": "markdown", + "id": "15d86196", + "metadata": {}, + "source": [ + "This notebook discusses the Laplace transform and its use in analysing a system's response to an input signal $u(t)$.\n", + "We'll need this to read classic electronics papers, and to model non-ideal op-amps and low-pass filters.\n", + "\n", + "Many details are glossed over, and concrete examples are only presented in later notebooks, so that this text is best used as a reminder, not a first introduction." + ] + }, + { + "cell_type": "markdown", + "id": "efa15e5f-b9a5-459c-be80-15e757e881fe", + "metadata": {}, + "source": [ + "Contents:\n", + "\n", + "- [Impulse response](#Impulse-response)\n", + "- [The Laplace transform](#The-Laplace-transform)\n", + "- [Transfer function](#Transfer-function)\n", + "- [Analysing systems with zeros and poles](#Analysing-systems-with-zeros-and-poles)" + ] + }, + { + "cell_type": "markdown", + "id": "2b01a012", + "metadata": {}, + "source": [ + "## Impulse response\n", + "\n", + "Let $\\delta(t)$ be the [unit impulse](https://en.wikipedia.org/wiki/Dirac_delta_function) or Dirac delta, which is commonly thought of as\n", + "\n", + "\\begin{align}\n", + "\\delta(t - t_0) = \\begin{cases}\n", + "\\infty, &t = t_0\\\\\n", + "0, &t \\neq t_0\\end{cases}\n", + "\\end{align}\n", + "\n", + "but has a more complicated \"proper\" definition as a [generalised function](https://en.wikipedia.org/wiki/Generalized_function) with properties:\n", + "\n", + "1. $$\\int_a^b \\delta(t)dt = 1 \\quad\\text{if } 0 \\in [a, b] $$\n", + "2. $$\\int_a^b \\delta(t)dt = 0 \\quad\\text{if } 0 \\notin [a, b]$$\n", + "3. $$\\int_{-\\infty}^{\\infty} \\delta(t - t_0)g(t)\\,dt = g(t_0)$$\n", + "\n", + "The response to a system driven with $\\delta$ is called the [impulse response](https://en.wikipedia.org/wiki/Impulse_response), and will be denoted here as $h(t)$." + ] + }, + { + "cell_type": "markdown", + "id": "99ecb1cd", + "metadata": {}, + "source": [ + "Impulse responses for common functions can be looked up in tables, but they can also be worked out by hand.\n", + "For example, given a system defined by \n", + "\n", + "\\begin{align}\n", + "\\dot{y}(t) + ay(t) = u(t)\n", + "\\end{align}\n", + "\n", + "where $y$ is the state, $u$ is the input and $a$ is a non-zero constant, we can fill in $u(t)=\\delta(t)$ and $y(t)=h(t)$ (by h's definition) so that \n", + "\n", + "\\begin{align}\n", + "\\dot{h}(t) + ah(t) = \\delta(t)\n", + "\\end{align}\n", + "\n", + "Next, we'll assume that the system has no response for $t < 0$ (the impulse hasn't happened yet).\n", + "At $t > 0$, we have $\\delta(t) = 0$ and so we can separate $\\frac{dh}{dt} = -ah$ as usual to find $h(t) = h_0 e^{-at}$.\n", + "The situation at $t = 0$ is tricky to analyse, but the accepted solution seems to be that (1) $h(t = 0)$ is undefined, (2) its limit approached from the left is 0, and (3) its limit approached from the right is 1.\n", + "Integrating from $0$ to $t$ we then get $h_0 = 1$, so that the full impulse response becomes\n", + "\\begin{align}\n", + "h(t) = \\begin{cases}e^{-at}, &t>0,\\\\0, &t<0\\\\\\text{undefined}, &t=0\\end{cases}\n", + "\\end{align}\n", + "\n", + "More commonly we'll ignore negative time and just write e.g. $h(t)=e^{-at}$." + ] + }, + { + "cell_type": "markdown", + "id": "4adc3514", + "metadata": {}, + "source": [ + "The integral of the unit impulse is the [unit step](https://en.wikipedia.org/wiki/Heaviside_step_function) function:\n", + "\\begin{equation}\n", + "\\theta(t - t_0) = \\begin{cases}1, &t > t_0\\\\0, &t < t_0\\\\\\text{undefined}, &t = t_0\\end{cases}\n", + "\\end{equation}\n", + "(some people use a different definition for the $t=t_0$ case).\n", + "\n", + "Using the unit step, we can write the above equation for $h(t)$ as $h(t) = e^{-at}\\theta(t)$." + ] + }, + { + "cell_type": "markdown", + "id": "724142d8", + "metadata": {}, + "source": [ + "### The superposition principle and linear systems\n", + "\n", + "Next, we introduce the [superposition principle](https://en.wikipedia.org/wiki/Superposition_principle).\n", + "This holds if, when input $u_1(t)$ has response $y_1(t)$ and input $u_2(t)$ has response $y_2(t)$, any **linear combination** of the input signals $u(t) = \\alpha_1 u_1(t) + \\alpha_2 u_2(t)$ results in the same linear combination of responses $y(t) = \\alpha_1 y_1(t) + \\alpha_2 y_2(t)$.\n", + "\n", + "The class of systems satisfying this priniciple are called [linear systems](https://en.wikipedia.org/wiki/Linear_time-invariant_system).\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "4d580eaf", + "metadata": {}, + "source": [ + "### Decomposing arbitrary inputs into impulse responses\n", + "\n", + "For systems where the superposition principle holds, we can analyse the response to any input signal $u(t)$ by decomposing into sub-inputs with known responses.\n", + "If we're willing to do some maths, this can even be an infinite number of sub-inputs, for example sine waves or unit impulses.\n", + "\n", + "Let $\\delta(t - \\tau)$ be a unit impulse input, and $h(t - \\tau)$ the impulse response, we can then write $u(t)$ as a linear combination with an infinite number of terms $u(\\tau)\\delta(t - \\tau)\\,d\\tau$ (where $\\tau$ is a constant):\n", + "\\begin{align}\n", + "u(t) = \\int_{-\\infty}^\\infty u(\\tau)\\delta(t - \\tau)\\,d\\tau\n", + "\\end{align}\n", + "\n", + "writing the same linear combination for the known impulse responses $h(t - \\tau)$ we find:\n", + "\n", + "\\begin{align}\n", + "y(t) = \\int_{-\\infty}^\\infty u(\\tau)h(t - \\tau)\\,d\\tau\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "3fc400c8", + "metadata": {}, + "source": [ + "These horrible forms are known as \"convolution integrals\", sometimes denoted with a $*$:\n", + "\\begin{align}\n", + "(f * g)(t) = \\int_{-\\infty}^\\infty f(\\tau)g(t - \\tau)\\,d\\tau\n", + "\\end{align}\n", + "where the left hand side notation is meant to convey that this is an operation on _functions_: we are convolving the functions themselves, not their evaluations on some specific value of $t$.\n", + "Convolution is not restricted to time-varying functions: $t$ represents any free variable.\n", + "For people who love properties of things we can add that $(f * g)(t) = (g * t)(t)$." + ] + }, + { + "cell_type": "markdown", + "id": "4f089054", + "metadata": {}, + "source": [ + "In summary:\n", + "\n", + "1. The impulse function is a slightly dubious \"generalised function\" for which $\\int_a^b\\delta(t)dt=1$ if and only if $0\\in[a, b]$.\n", + "2. A system's response to being driven with a unit impulse is called its impulse response, and can be derived or looked up in tables.\n", + "3. If the system obeys the superposition principle, we can write its response to an arbitrary input signal as a convolution integral of the input and the impulse response." + ] + }, + { + "cell_type": "markdown", + "id": "5529fcd3", + "metadata": {}, + "source": [ + "## The Laplace transform\n", + "\n", + "The Laplace transform is a one-to-one mapping between function spaces: it can be applied to a function \"in the time domain\" to yield another \"in the Laplace domain\".\n", + "A typical use case is to apply the Laplace transformation, manipulate the function in ways that would have been harder in the time domain, and then transform back.\n", + "\n", + "For a function $f(t)$ on $t \\geq 0$, its Laplace transformation $F(s)$ is defined as\n", + "\n", + "\\begin{equation}\n", + "F(s) = \\int_0^\\infty f(t) e^{-st} dt\n", + "\\end{equation}\n", + "\n", + "where $s$ is the new free variable, and is a complex number (so we're mapping 1-d functions onto 2-d functions!).\n", + "\n", + "We denote this transfer as $\\mathcal{L}\\{f(t)\\} = F(s)$." + ] + }, + { + "cell_type": "markdown", + "id": "ad3c668d", + "metadata": {}, + "source": [ + "### The inverse transform?\n", + "\n", + "Being a nice one-to-one mapping, the Laplace transformation should have an inverse.\n", + "You can find it on [wikipedia](https://en.wikipedia.org/wiki/Inverse_Laplace_transform), but it's more common to rely on tables when converting back to the time domain, or to end the analysis without ever converting back." + ] + }, + { + "cell_type": "markdown", + "id": "462946d2", + "metadata": {}, + "source": [ + "### Some things are easier in the Laplace domain\n", + "\n", + "The Laplace transform has some very nice properties.\n", + "For starters, **linear combinations** stay the same:\n", + "\n", + "\\begin{align}\n", + "& \\int_0^\\infty \\left[a f(t) + b g(t)\\right] e^{-st} dt \n", + " = a \\int_0^\\infty f(t) e^{-st} dt + b \\int_0^\\infty g(t) e^{-st} dt \n", + " = aF(s) + bG(s)\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "36fe69b2", + "metadata": {}, + "source": [ + "#### Time-derivatives\n", + "\n", + "More surprisingly, time-derivatives become multiplications by powers of $s$.\n", + "\n", + "Starting from\n", + "\\begin{align}\n", + "\\int_0^\\infty \\dot{f}(t) e^{-st} dt\n", + "\\end{align}\n", + "\n", + "we use integration by parts $\\int U dV = UV - \\int V dU$ with $U=e^{-st}$ and $dV=\\dot{f}(t)dt$ to find\n", + "\n", + "\\begin{align}\n", + "\\int_0^\\infty \\dot{f}(t) e^{-st} dt\n", + "&= \\left[f(t)e^{-st}\\right]_0^\\infty + \\int_0^\\infty f(t)se^{-st} dt \\\\\n", + "&= 0 - f(0)e^0 + s \\int_0^\\infty f(t)e^{-st} dt \\\\\n", + "&= s F(s) - f(0)\n", + "\\end{align}\n", + "\n", + "or\n", + "\n", + "\\begin{align}\n", + "\\mathcal{L}\\{\\dot{f}(t)\\} = s F(s) - f(0)\n", + "\\end{align}\n", + "\n", + "Similarly, for second order time-derivatives we get $\\mathcal{L}\\{\\ddot{f(t)}\\} = s^2F(s) - sf(0) - \\dot{f}(0)$." + ] + }, + { + "cell_type": "markdown", + "id": "3d698bc5", + "metadata": {}, + "source": [ + "#### Convolution and impulse response\n", + "\n", + "Most importantly, ugly convolution becomes multiplication.\n", + "\n", + "To prove this, you start by writing out\n", + "\\begin{align}\n", + "\\mathcal{L}\\{f*g\\} = \\int_0^\\infty \\left(\\int_0^t f(\\tau) g(t-\\tau) \\,d\\tau \\right)e^{-st}dt\n", + "\\end{align}\n", + "and then, if you're _really_ good at integrals, you do several tricks and end up with\n", + "\\begin{align}\n", + "=F(s)G(s)\n", + "\\end{align}\n", + "\n", + "As a result, for a system with input $u$ and impulse response $h(t)$, we can replace\n", + "\\begin{align}\n", + "y(t) = \\int_{-\\infty}^\\infty u(\\tau)h(t - \\tau)\\,d\\tau\n", + "\\end{align}\n", + "with\n", + "\\begin{align}\n", + "Y(s) = H(s) U(s)\n", + "\\end{align}\n", + "\n", + "where $H(s) = Y(s)/U(s)$ is called the system's **transfer function**." + ] + }, + { + "cell_type": "markdown", + "id": "0377e8d8", + "metadata": {}, + "source": [ + "#### More properties\n", + "\n", + "There's a [list on wikipedia](https://en.wikipedia.org/wiki/Laplace_transform#Properties_and_theorems)." + ] + }, + { + "cell_type": "markdown", + "id": "5bae9ee8", + "metadata": {}, + "source": [ + "### Some transformed functions\n", + "\n", + "There are lots of tables of Laplace transforms out there, including the [Laplace transform wikipedia page](https://en.wikipedia.org/wiki/Laplace_transform).\n", + "A few famous ones are given below.\n", + "\n", + "Exponentials:\n", + "$$\\mathcal{L}\\{e^{-at}\\} = \\frac{1}{s + a}$$\n", + "\n", + "Sine & cosine:\n", + "$$\\mathcal{L}\\{\\sin(\\omega t)\\}\n", + " = \\mathcal{L}\\left\\{\\frac{e^{i \\omega t} - e^{i \\omega t}}{2i}\\right\\}\n", + " = \\frac{\\omega}{s^2 + \\omega^2}$$\n", + "\n", + "$$\\mathcal{L}\\{\\cos(\\omega t)\\}\n", + " = \\mathcal{L}\\left\\{\\frac{e^{i \\omega t} + e^{i \\omega t}}{2}\\right\\}\n", + " = \\frac{s}{s^2 + \\omega^2}$$\n", + "\n", + "The impulse function:\n", + "$$\\mathcal{L}\\{\\delta(t)\\} = 1$$\n", + "\n", + "The unit step function:\n", + "$$\\mathcal{L}\\{\\alpha \\theta(t)\\} = \\frac{\\alpha}{s}$$" + ] + }, + { + "cell_type": "markdown", + "id": "a8775509-3894-4249-a57c-3478bd1d3f09", + "metadata": {}, + "source": [ + "## Transfer function\n", + "\n", + "Summarising the above, the output $y(t)$ of a **linear system** driven by an arbitrary input signal $u(t)$ can be found by decomposing $u(t)$ into an infinite series of unit impulses.\n", + "\n", + "The resulting integral becomes a simple multiplication $Y(s) = H(s) U(s)$ in the Laplace domain.\n", + "\n", + "This means we can analyse many systems by finding and inspecting their **transfer function**:\n", + "\n", + "\\begin{align}\n", + "H(s) \\equiv Y(s)/U(s)\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "e8e8fa9a-1889-4ac5-8b32-8c1dcdfd07fb", + "metadata": {}, + "source": [ + "### Block diagrams\n", + "\n", + "Long transfer functions can sometimes be broken up into _block diagrams_.\n", + "\n", + "In particular, two components **in series** corresponds to a simple multiplication:\n", + "\\begin{align}\n", + "Y(s) = G_2(s) G_1(s) U(s)\n", + "\\end{align}\n", + "\n", + "\n", + "\n", + "For blocks **in parallel** we find\n", + "\\begin{align}\n", + "Y(s) = \\left[G_1(s) + G_2(s)\\right] U(s)\n", + "\\end{align}\n", + "\n", + "\n", + "\n", + "And **negative feedback** reduces to\n", + "\\begin{align}\n", + "Y(s) = \\frac{G_1(s)}{1 + G_1(s)G_2(s)} U(s)\n", + "\\end{align}\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "id": "347d2b70", + "metadata": {}, + "source": [ + "## Analysing systems with zeros and poles\n", + "\n", + "Many systems can be analysed in terms of their _zeros_ (values of $s$ for which $H(s)$ is zero) and _poles_ (a [particular type of singularity](https://en.wikipedia.org/wiki/Zeros_and_poles), see below).\n", + "\n", + "In particular, any n-th order linear differential equation (with all initial conditions set to 0) has a transfer function that can be written as the fraction of two polynomials:\n", + "\n", + "\\begin{align}\n", + "F(s) = \\frac{a_ms^m + a_{m-1}s^{m-1} + ...}{b_ns^n + b_{n-1}s^{n-1} + ...} = k\\frac{\\prod_{i=1}^m(s - z_i)}{\\prod_{i=1}^n(s - p_i)}\n", + "\\end{align}\n", + "\n", + "where $p_i$ are its **poles** and $z_i$ are its **zeroes**.\n", + "\n", + "Analysis of systems written this form is often simplified using [partial fraction decomposition](https://en.wikipedia.org/wiki/Partial_fraction_decomposition) to write $F$ as a sum instead of a product." + ] + }, + { + "cell_type": "markdown", + "id": "37fd5134", + "metadata": {}, + "source": [ + "### Real, imaginary, and complex poles\n", + "\n", + "We can tell a lot by looking at the poles.\n", + "Like $s$, poles can be complex numbers, and the system's behaviour differs depending on whether they are fully real, fully imaginary, or complex.\n", + "\n", + "#### Real poles result in exponential terms\n", + "\n", + "The form \n", + "\\begin{equation}\n", + "F(s) = \\frac{C_1}{s - p_1} + \\frac{C_2}{s - p_2} + ... + \\frac{C_n}{s - p_n}\n", + "\\end{equation}\n", + "where $p_i$ are all real numbers has inverse transform \n", + "$$f(t) = \\left( C_1e^{p_1t} + C_2e^{p_2t} + ... + C_ne^{p_nt} \\right) \\theta(t)$$\n", + "\n", + "Terms like $\\frac{C_i}{(s - p_i)^2}$ become $C_ite^{p_it}$, while $\\frac{C_i}{(s - p_i)^3}$ becomes $C_it^2e^{p_it}$ etc." + ] + }, + { + "cell_type": "markdown", + "id": "94652d8b", + "metadata": {}, + "source": [ + "#### Imaginary poles give oscillations\n", + "\n", + "The form\n", + "\\begin{equation}\n", + "F(s) = \\frac{C_1 + C_2s}{(s - i\\omega)(s + i\\omega)} = \\frac{C_1 + C_2s}{s^2 +\\omega^2}\n", + "\\end{equation}\n", + "has inverse\n", + "\\begin{equation}\n", + "f(t) = \\left( \\frac{1}{\\omega} C_1\\sin(\\omega t) + C_2\\cos(\\omega t)\\right) \\theta(t)\n", + "\\end{equation}" + ] + }, + { + "cell_type": "markdown", + "id": "b3fe2e42", + "metadata": {}, + "source": [ + "#### Complex poles give growing or damped oscillations\n", + "\n", + "The form\n", + "\\begin{equation}\n", + "F(s) = \\frac{C_1 + C_2s}{(s+\\sigma-i\\omega)(s+\\sigma+i\\omega)} \n", + " = \\frac{C_1 + C_2s}{(s + \\sigma)^2 +\\omega^2}\n", + "\\end{equation}\n", + "with poles $-\\sigma + i\\omega$ and $-\\sigma -i\\omega$, has inverse\n", + "\\begin{equation}\n", + "f(t) = \\left(\n", + " \\frac{C_1 - C_2\\sigma}{\\omega}e^{-\\sigma t}\\sin(\\omega t) + C_2e^{-\\sigma t}\\cos(\\omega t)\n", + "\\right) \\theta(t)\n", + "\\end{equation}\n" + ] + }, + { + "cell_type": "markdown", + "id": "e853a336", + "metadata": {}, + "source": [ + "#### Stability and oscillations\n", + "\n", + "In summary, for a system with poles $p_i = \\sigma_i + i \\omega$,\n", + "\n", + "- the system is stable only if all real parts are negative $\\sigma_i < 0$\n", + "\n", + "and\n", + "\n", + "- a system with fully real poles (all $\\omega_i = 0$) exhibits exponential behaviour,\n", + "- a system with fully imaginary poles (all $\\sigma_i = 0$) exhibits pure oscillations,\n", + "- a system with complex poles exhibits damped ($\\sigma_i < 0$) or exponentially growing ($\\sigma_i > 0$) oscillations." + ] + }, + { + "cell_type": "markdown", + "id": "5124c491", + "metadata": {}, + "source": [ + "### Free and forced response\n", + "The ODE\n", + "\\begin{align}\n", + "\\tau \\dot{y} + y(t) = u(t)\n", + "\\end{align}\n", + "\n", + "has Laplace transform \n", + "\n", + "\\begin{align}\n", + "\\tau (s Y(s) - y(0)) + Y(s) = U(s)\n", + "\\end{align}\n", + "\n", + "or\n", + "\n", + "\\begin{align}\n", + "Y(s) = \\frac{\\tau y(0)}{\\tau s + 1} + \\frac{1}{\\tau s + 1} U(s)\n", + "\\end{align}\n", + "\n", + "The first term is called the **free** or **natural response** and represents the system's response to its initial conditions.\n", + "The second term is called the **forced response**." + ] + }, + { + "cell_type": "markdown", + "id": "a120e9cb", + "metadata": {}, + "source": [ + "### First and second order systems with zeroed initial conditions\n", + "\n", + "#### A first order system with y(0) = 0\n", + "\n", + "The ODE\n", + "\\begin{align}\n", + "\\tau \\dot{y} + y(t) = u(t)\n", + "\\end{align}\n", + "\n", + "with $y(0) = 0$ has transfer function\n", + "\n", + "\\begin{align}\n", + "H(s) = \\frac{1}{1 + s\\tau} = \\frac{\\omega}{\\omega + s}\n", + "\\end{align}\n", + "\n", + "and impulse response\n", + "\n", + "\\begin{align}\n", + "h(t) = \\frac{1}{\\tau} e^{-t/\\tau}\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "766bf705", + "metadata": {}, + "source": [ + "#### A second order system with real & distinct poles\n", + "\n", + "The ODE\n", + "\n", + "\\begin{align}\n", + "a \\ddot{y} + b \\dot{y} + c y(t) = u(t)\n", + "\\end{align}\n", + "\n", + "with $y(0) = 0$ and $\\dot{y}(0) = 0$ has transfer function\n", + "\n", + "\\begin{align}\n", + "H(s) = \\frac{1}{a s^2 + b s + c} = \\frac{k}{(s - p_1)(s - p_2)} = \\frac{C_1}{s - p_1} + \\frac{C_2}{s - p_2}\n", + "\\end{align}\n", + "\n", + "where the last bit is a [partial fraction decomposition](https://en.wikipedia.org/wiki/Partial_fraction_decomposition).\n", + "As a result, it has impulse function\n", + "\n", + "\\begin{align}\n", + "h(t) = C_1 e^{p_1 t} + C_2 e^{p_2 t}\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "0edde5d4", + "metadata": {}, + "source": [ + "#### A second order system with imaginary poles\n", + "\n", + "The ODE\n", + "\\begin{align}\n", + "\\ddot{y} + 2\\zeta\\omega\\dot{y} + \\omega^2 = u(t)\n", + "\\end{align}\n", + "\n", + "with $y(0) = 0$, $\\dot{y}(0) = 0$, and $\\ddot{y}(0) = 0$, has transfer function\n", + "\n", + "\\begin{align}\n", + "H(s) = \\frac{1}{s^2 + 2\\zeta\\omega s + \\omega^2}\n", + "\\end{align}\n", + "\n", + "we can find the poles by solving $s^2 + 2\\zeta\\omega s + \\omega^2 = 0$ to find\n", + "\\begin{align}\n", + "-\\zeta \\omega \\pm \\omega \\sqrt{\\zeta^2 - 1}\n", + "\\end{align}\n", + "\n", + "If we consider the case where $\\zeta > 1$, then the poles are real and we have the system above.\n", + "For $\\zeta = 1$ we get a slightly different transfer function $\\frac{C_1s + C_2}{(s + \\omega)^2}$.\n", + "But for $0 \\leq \\zeta < 1$ the poles must be imaginary.\n", + "We can make this explicit by multiplying the term inside the square root by $-1$ and writing the poles as\n", + "\n", + "\\begin{align}\n", + "-\\zeta \\omega \\pm i \\omega \\sqrt{1 - \\zeta^2}\n", + "\\end{align}\n", + "for\n", + "\\begin{align}\n", + "H(s) = \\frac{1}{(s + \\zeta \\omega + i \\omega \\sqrt{1 - \\zeta^2})(s + \\zeta \\omega - i \\omega \\sqrt{1 - \\zeta^2})}\n", + " = \\frac{1}{(s + \\zeta \\omega)^2 + \\omega^2 (1 - \\zeta^2)}\n", + "\\end{align}\n", + "\n", + "Using the equation given above under \"poles and zeros\", we see that the impuls response is\n", + "\n", + "\\begin{align}\n", + "f(t) = \\frac{1}{\\omega \\sqrt{1 - \\zeta^2}}e^{-\\zeta\\omega t}\\sin\\left(\\omega \\sqrt{1 - \\zeta^2} t\\right) \\theta(t)\n", + " = \\frac{1}{\\omega_d}e^{-\\zeta\\omega t}\\sin\\left(\\omega_d t\\right) \\theta(t) \n", + "\\end{align}\n", + "\n", + "where $\\zeta$ is the _damping coefficient_, $\\omega$ is the _natural frequency_, and $\\omega_d = \\omega\\sqrt{1 - \\zeta^2}$ is the _damped frequency_." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.9" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/tutorial/appendix/a-laplace/2-frequency-response.ipynb b/tutorial/appendix/a-laplace/2-frequency-response.ipynb new file mode 100644 index 0000000..9dc4e62 --- /dev/null +++ b/tutorial/appendix/a-laplace/2-frequency-response.ipynb @@ -0,0 +1,1144 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "44ff9bab", + "metadata": {}, + "source": [ + "# A2: Frequency response" + ] + }, + { + "cell_type": "markdown", + "id": "15d86196", + "metadata": {}, + "source": [ + "In engineering, unlike in cell electrophysiology, the most interesting part of a system is often how it responds to a (co)sinusoidal input.\n", + "This is called its _frequency response_, and is discussed in this notebook." + ] + }, + { + "cell_type": "markdown", + "id": "efa15e5f-b9a5-459c-be80-15e757e881fe", + "metadata": {}, + "source": [ + "Contents:\n", + "\n", + "- [Manual calculation example](#Manual-calculation-example)\n", + "- [General frequency response](#General-frequency-response)\n" + ] + }, + { + "cell_type": "markdown", + "id": "8aedf673", + "metadata": {}, + "source": [ + "## Manual calculation example\n", + "\n", + "The straightforward way to find a frequency response is to write out the system as $Y(s) = H(s) U(s)$, fill in the Laplace transform of a sine or cosine for $U(s)$, multiplying, and then then working out the inverse transform.\n", + "\n", + "We will do this below, and work out several important concepts along the way.\n", + "Then, in the next section, we will find a much easier method.\n", + "\n", + "The example we use is a [low-pass filter](https://en.wikipedia.org/wiki/Low-pass_filter), for example the schematic below:\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "id": "5462fea6", + "metadata": {}, + "source": [ + "### Deriving a transfer function\n", + "\n", + "Using Kirchoff's laws we write a differential equation for $V$ in terms of $V_\\text{in}$\n", + "\n", + "\\begin{align}\n", + "\\left.\n", + "\\begin{aligned}\n", + "&V - V_\\text{in} = I_R R \\\\\n", + "&I_R = I_C = C\\frac{d}{dt}(0 - V) = -C\\dot{V} \\\\\n", + "\\end{aligned}\n", + "\\right\\}V - V_\\text{in} = -RC\\dot{V}\n", + "\\end{align}\n", + "\n", + "Using $\\omega = 1/RC$\n", + "\n", + "\\begin{align}\n", + "\\dot{V}(t) = \\omega\\left(V_\\text{in}(t) - V(t)\\right)\n", + "\\end{align}\n", + "\n", + "Apply a Laplace transformation, with initial conditions $V(0)=0$:\n", + "\n", + "\\begin{align}\n", + "s V(s) &= \\omega(V_\\text{in}(s) - V(s)) \\\\\n", + "V &= V_\\text{in} \\omega / (s + \\omega)\n", + "\\end{align}\n", + "\n", + "Then find the transfer function by dividing by $U(s) = V_\\text{in}(s)$ for\n", + "\n", + "\\begin{align}\n", + "H(s) &= \\frac{\\omega}{s + \\omega}\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "708dac38", + "metadata": {}, + "source": [ + "### Finding the output\n", + "\n", + "To see why this is called a \"low-pass filter\", we apply the input\n", + "\n", + "\\begin{align}\n", + "u(t) = \\cos(\\phi t)\n", + " \\quad\\longrightarrow\\quad\n", + "U(s) = \\frac{s}{s^2 + \\phi^2}\n", + "\\end{align}\n", + "to get\n", + "\\begin{align}\n", + "Y(s) = H(s)U(s) = \\frac{\\omega s}{(s + \\omega)(s^2 + \\phi^2)}\n", + "\\end{align}\n", + "\n", + "Partial fraction decomposition lets us write this as \n", + "\\begin{align}\n", + "Y(s) = \\frac{A}{s + \\omega} + \\frac{B s + C}{s^2 + \\phi^2}\n", + "\\end{align}\n", + "\n", + "which we can bring under a common denominator and expand to\n", + "\n", + "\\begin{align}\n", + "Y(s) = \\frac{s^2(A + B) + s(B\\omega + C) + (A\\phi^2 + C\\omega)}{(s + \\omega)(s^2 + \\phi^2)}\n", + "\\end{align}\n", + "\n", + "which holds if $B = -A$ and $C = -\\frac{\\phi^2}{\\omega}A$.\n", + "For $A$ itself we find\n", + "\\begin{align}\n", + "\\omega = B\\omega + C = -A\\omega - \\frac{\\phi^2}{\\omega}A\n", + " \\,\\longrightarrow\\,\n", + "A = \\frac{\\omega}{-\\omega - \\phi^2/\\omega} = \\frac{-\\omega^2}{\\omega^2 + \\phi^2}\n", + "\\end{align}\n", + "\n", + "Filling in expressions for $B$ and $C$ we arrive at\n", + "\n", + "\\begin{align}\n", + "Y(s) = A\\frac{1}{s + \\omega} -A\\frac{s}{s^2 + \\phi^2} - A\\frac{\\phi}{\\omega}\\frac{\\phi}{s^2 + \\phi^2}\n", + "\\end{align}\n", + "\n", + "which translates back easily to\n", + "\n", + "\\begin{align}\n", + "y(t) = Ae^{-\\omega t} -A\\left[\\cos(\\phi t) + \\frac{\\phi}{\\omega}\\sin(\\phi t)\\right]\n", + "\\end{align}\n", + "\n", + "This shows us that the response can be broken up into two parts: a **transient response**, depending only on (A and) the filter frequency $\\omega$, and a **periodic response**, with the frequency of the input signal, $\\phi$." + ] + }, + { + "cell_type": "markdown", + "id": "73fe61e8", + "metadata": {}, + "source": [ + "#### Intermezzo: the harmonic addition theorem\n", + "\n", + "To simplify further we need something known as the \"harmonic addition theorem\", which shows that we can write the grouped terms above as a single cosine with a phase shift:\n", + "$$a\\cos(x) + b\\sin(x) = c\\cos(x + z)$$\n", + "\n", + "to see that this is true and find the appropriate $c$ and $z$ we write\n", + "\n", + "\\begin{align}\n", + "a\\cos(x) + b\\sin(x) &= c\\cos(x + z) \\\\\n", + " &= c\\cos(x)\\cos(z) - c\\sin(x)\\sin(z)\n", + "\\end{align}\n", + "so that\n", + "\\begin{align}\n", + "\\left.\\begin{aligned} a &= c\\cos(z) \\\\ b &= -c\\sin(z) \\end{aligned}\\right\\}\n", + "\\quad \\tan{z}=\\frac{\\sin(y)}{\\cos(z)}=\\frac{-b}{a}\n", + "\\quad \\longrightarrow \\quad z = \\arctan(-b/a)\n", + "\\end{align}\n", + "and\n", + "$$a^2 + b^2 = c^2\\cos^2(z) + c^2\\sin^2(z) = c^2 \\quad \\longrightarrow \\quad c = \\pm \\sqrt{a^2 + b^2}$$" + ] + }, + { + "cell_type": "markdown", + "id": "c677459a", + "metadata": {}, + "source": [ + "##### Form using sign(a)\n", + "\n", + "Finally, because $\\arctan$ by definition returns a value $z \\in (-\\pi/2, \\pi/2)$ we have $\\cos(z) \\geq 0$ and so $a$ and $c$ must have the same sign, denoted $\\operatorname{sign}(a)$.\n", + "This gives us the final result:\n", + "\n", + "\\begin{align}\n", + "a\\cos(x) + b\\sin(x) = \\operatorname{sign}(a)\\sqrt{a^2+b^2} \\cos(x + \\arctan(-b/a))\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "700c1da2", + "metadata": {}, + "source": [ + "##### Atan2 form\n", + "\n", + "Alternatively, we can use [atan2(b, a)](https://en.wikipedia.org/wiki/Atan2).\n", + "This differs from $\\arctan(b/a)$ by either $+\\pi$ or $-\\pi$ whenever $a < 0$, and since $\\cos(x \\pm \\pi) = -\\cos(x)$ this means the $\\cos$ will have the same sign as $a$ so that we can write:\n", + "\n", + "\\begin{align}\n", + "a\\cos(x) + b\\sin(x) = \\sqrt{a^2+b^2} \\cos(x + \\operatorname{atan2}(-b, a))\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "90cd96d6", + "metadata": {}, + "source": [ + "#### Back to the low-pass filter!\n", + "\n", + "Filling in $a = 1$ and $b = \\phi / \\omega$ we get\n", + "\\begin{align}\\cos(\\phi t) + \\frac{\\phi}{\\omega}\\sin(\\phi t) \n", + " &= \\operatorname{sign}(1)\\sqrt{1 + \\phi^2/\\omega^2} \\cos\\left(\\phi t + \\arctan(-\\phi / \\omega)\\right) \\\\\n", + " &= \\sqrt{1 + \\phi^2/\\omega^2} \\cos\\left(\\phi t - \\arctan(\\phi / \\omega)\\right)\n", + "\\end{align}\n", + "\n", + "The complete response becomes\n", + "\n", + "\\begin{align}\n", + "y(t) &= \\frac{-\\omega^2}{\\omega^2 + \\phi^2} e^{-\\omega t} - \\frac{-\\omega^2}{\\omega^2 + \\phi^2} \\sqrt{1 + \\phi^2/\\omega^2} \\cos\\left(\\phi t - \\arctan(\\phi / \\omega)\\right) \\\\\n", + " &= -\\frac{\\omega^2}{\\omega^2 + \\phi^2} e^{-\\omega t} + \\frac{\\omega}{\\sqrt{\\omega^2 + \\phi^2}} \\cos\\left(\\phi t - \\arctan(\\phi / \\omega)\\right) \\\\\n", + "\\end{align}\n", + "\n", + "This clearly shows the **transient part** on the left, and the **periodic part** on the right, which has **the same frequency** as the input signal but a **phase shift** depending on the ratio of the input frequency to the filter frequency.\n", + "Both terms have an amplification or gain factor depending on both frequencies." + ] + }, + { + "cell_type": "markdown", + "id": "d674efb3", + "metadata": {}, + "source": [ + "#### Interpreting the result\n", + "\n", + "We applied an input $\\cos(\\phi t)$ and got a response consisting of an exponentially decaying term and an oscillation.\n", + "To analyse this further, let $\\lambda = \\phi / \\omega$ be the ratio between the input and the filter frequencies, so that $\\lambda > 1$ means the input frequency exceeds the filter frequency.\n", + "The equation above then simplifies to\n", + "\\begin{align}\n", + "y(t) = -\\frac{1}{1 + \\lambda^2} e^{-\\omega t} \n", + " + \\frac{1}{\\sqrt{1 + \\lambda^2}} \\cos\\left(\\phi t - \\arctan(\\lambda) \\right)\n", + "\\end{align}\n", + "\n", + "This means that, once the transient response has died out, the main effect of the filter is to apply a phase shift and a frequency-dependent scaling $(1 + \\lambda^2)^{-1/2}$.\n", + "We can plot this response on a linear scale or, as is more commonly done, on a log-log scale:" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "f59c1829", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "\n", + "f = lambda x: 1 / np.sqrt(1 + x**2)\n", + "\n", + "x = np.linspace(0, 5, 1001)\n", + "y = f(x)\n", + "\n", + "fig = plt.figure(figsize=(12, 4))\n", + "fig.subplots_adjust(wspace=0.3)\n", + "\n", + "ax = plt.subplot(1, 2, 1)\n", + "ax.set_xlabel(r'$\\lambda$ = input frequency / filter frequency')\n", + "ax.set_ylabel('scaling factor')\n", + "ax.axvline(1, color='#999', lw=0.5, label=r'$\\omega = \\phi$')\n", + "ax.axhline(f(1), color='#999', lw=0.5)\n", + "ax.plot(x, y, label='response')\n", + "ax.legend()\n", + "\n", + "ax = plt.subplot(1, 2, 2)\n", + "ax.set_xscale('log')\n", + "ax.set_yscale('log')\n", + "ax.set_xlabel(r'$\\lambda$ = input frequency / filter frequency')\n", + "ax.set_ylabel('scaling factor')\n", + "ax.axvline(1, color='#999', lw=0.5, label=r'$\\omega = \\phi$')\n", + "ax.axhline(f(1), color='#999', lw=0.5)\n", + "ax.plot(x, y, label='response')\n", + "ax.legend()\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "e37dc6d6", + "metadata": {}, + "source": [ + "Looking at the linear plot, we can clearly see that the filter has a strong effect on frequencies above $\\omega$, but already provides significant damping even at $\\phi = \\omega$.\n", + "In the log-log plot the effect seems a bit more dramatic: for $\\phi \\approx 10^{-1} \\omega$ there is very little filtering, but anything higher gets filtered out.\n", + "\n", + "This finally shows us why it's called a \"low-pass\" filter: only low frequencies (relative to $\\omega$) pass through unattenuated.\n", + "\n", + "When combined with a plot of the phase shift, the log-log plot above is called a [Bode plot](https://en.wikipedia.org/wiki/Bode_plot).\n", + "In many engineering applications the transient response is uninteresting (provided it can be made short), so people usually don't bother with all the above to figure it out.\n", + "Instead, they look only at the _frequency response_." + ] + }, + { + "cell_type": "markdown", + "id": "8b9b737b", + "metadata": {}, + "source": [ + "### Corner frequency and bandwidth\n", + "\n", + "At $\\phi = \\omega$, the filter reduces the signal by a factor $1 / \\sqrt{1 + \\lambda^2} = 1 / \\sqrt{2}$.\n", + "Because the _power_ of this signal is proportional to its square, $1/2$, and because $^{10}\\log(1/2) \\approx -3.01$ this is also known as the \"3[dB](https://en.wikipedia.org/wiki/Decibel) point\"." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "94ebcf66", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "-3.010299956639812" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "amplitude = 1 / np.sqrt(2) # The amplitude at phi=omega is 1/sqrt(2)\n", + "power = amplitude**2 # The power is proportional to amplitude**2\n", + "10*np.log10(1/2) # Engineers like decibels" + ] + }, + { + "cell_type": "markdown", + "id": "cf4fcea0", + "metadata": {}, + "source": [ + "In general, any frequency at which a filter's gain drops to $\\sqrt{1/2}$ is known as a _cutoff_ or [_corner frequency_](https://en.wikipedia.org/wiki/Cutoff_frequency).\n", + "\n", + "The width of the range of frequencies with a gain above $\\sqrt{1/2}$ is called the [bandwidth](https://en.wikipedia.org/wiki/Bandwidth_(signal_processing)).\n", + "For the low-pass filter above, both the cutoff frequency and the bandwidth have the value $\\omega$." + ] + }, + { + "cell_type": "markdown", + "id": "adc1c4cc", + "metadata": {}, + "source": [ + "### The low-pass filter's response to cosine and sine" + ] + }, + { + "cell_type": "markdown", + "id": "2bfed6d2", + "metadata": {}, + "source": [ + "In summary, for the low-pass filter and a cosine input we found\n", + "\n", + "\\begin{align}\n", + "y(t) &= -\\frac{\\omega^2}{\\omega^2 + \\phi^2} e^{-\\omega t} + \\frac{\\omega}{\\sqrt{\\omega^2 + \\phi^2}} \\cos\\left(\\phi t - \\arctan(\\phi / \\omega)\\right) \\\\\n", + " &= -\\frac{1}{1 + \\lambda^2} e^{-\\omega t} + \\frac{1}{\\sqrt{1 + \\lambda^2}} \\cos\\left(\\phi t - \\arctan(\\lambda) \\right)\n", + "\\end{align}\n", + "\n", + "where $\\lambda = \\phi / \\omega$.\n", + "\n", + "We can repeat with a $\\sin$ input to find\n", + "\n", + "\\begin{align}\n", + "y(t) &= \\frac{\\omega\\phi}{\\omega^2 + \\phi^2} e^{-\\omega t} \n", + " + \\frac{\\omega}{\\sqrt{\\omega^2 + \\phi^2}} \\sin\\left(\\phi t - \\arctan(\\phi/\\omega)\\right) \\\\\n", + " &= \\frac{\\lambda}{1 + \\lambda^2} e^{-\\omega t} \n", + " + \\frac{1}{\\sqrt{1 + \\lambda^2}} \\sin\\left(\\phi t - \\arctan(\\lambda)\\right)\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "29c1de4a", + "metadata": {}, + "source": [ + "### Simulating a low-pass filter\n", + "\n", + "We now use Myokit to simulate three cases: $\\lambda = 1/2$, $\\lambda = 1$, and $\\lambda = 2$.\n", + "\n", + "First we define a model for the cosine case:" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "6982ea37", + "metadata": {}, + "outputs": [], + "source": [ + "import myokit\n", + "\n", + "cos_model = myokit.parse_model('''\n", + "[[model]]\n", + "rc.v0 = 0\n", + "rc.v1 = 0\n", + "rc.v2 = 0\n", + "input(time, omega, lambda) = cos(lambda * omega * time)\n", + "\n", + "[rc]\n", + "t = 0 bind time\n", + "omega = 2\n", + "cos0 = input(t, omega, 1 / 2)\n", + "cos1 = input(t, omega, 1)\n", + "cos2 = input(t, omega, 2)\n", + "dot(v0) = (cos0 - v0) * omega\n", + "dot(v1) = (cos1 - v1) * omega\n", + "dot(v2) = (cos2 - v2) * omega\n", + "''')" + ] + }, + { + "cell_type": "markdown", + "id": "5a6312aa", + "metadata": {}, + "source": [ + "Next, we'll run a simulation and plot the results:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "2ec8fc99", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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QQgghhBBCCCGEKAazJtK2bt1K3759qVatGjqdjqVLl972Plu2bKFp06bY2tpSs2ZNvvvuu+v2Wbx4MQ0bNsTGxoaGDRvy559/mukRCCGEEEIIIYQQQgihMmsiLTs7m8aNG/Ptt98Wa/9z585x33330b59eyIjI5k0aRLPP/88ixcvLtonPDycQYMGMWzYMA4ePMiwYcN45JFH2L17txkfiRBCCCGEEEIIIcqiN998ExsbGx577DGtQxH/UlF/L2ZNpPXu3ZsPPviAAQMGFGv/7777joCAAKZOnUqDBg14/PHHGT16NJ9//nnRPlOnTqV79+5MnDiR+vXrM3HiRLp27crUqVPN+EiEEEIIIYQQQlQkFfVDfmX02muv8cUXX7BgwQJOnz5d4se/m9V2wvy/lylTptC8eXOcnJzw8vKiX79+nDhxosTH+a8yVSMtPDycHj16XHNbz549iYiIKOqocLN9du7cWaqxCiGEEEIIIYQov8pS8mXkyJFMmDBBs8RAeefs7Mzo0aPR6/UcPny4xI9/p6vthMrcv5ctW7YwduxYdu3axbp16zAYDPTo0YPs7OwSH+vfylQiLT4+nqpVq15zW9WqVTEYDCQlJd1yn/j4+JseNz8/n4yMjGu+hBBCCCGEEEJUXmUl+WIymVi5ciUPPvigZomBisBgMGBvb8+RI0dK/Nh3utpO/MOcv5fVq1czcuRIgoKCaNy4MXPmzCE6Opp9+/aV+Fj/ZmnWo9+F/7YiVRTluttvtM+tWphOmTKF9957r8RjFUIIIYQQQgihUhSF3EKjJmPbWVnc8jPhzfz7Q37//v1LNKbevXvTu3fv2+63Y8cO9Ho9LVu2ZPXq1df8bM6cOXh5ebFv3z46dOhQovHdkqJAYU7pjfdvVvZwF7/LN998k6ysrFsmbD766CM++uijWx5n1apVtG/f/o7HLw2KopBryNVkbDtLu7v6P1aav5f09HQA3N3d7zjOO1GmEmne3t7XzSxLSEjA0tKSKlWq3HKf/85S+7eJEycyfvz4ou8zMjLw9/cv8fiFEEIIIYQQorLKLTTS8O01mox9bHJP7K3v/ONtWUi+LF++nL59+6LXX79grLQSA9cpzIGPqpXumFdNugTWDnd0l3379vHdd99x//333/J3+fTTT/PII4/c8li+vr53NHZpyjXk0nJ+S03G3v3Ybuyt7O/oPqX5e1EUhfHjx9OuXTuCg4PvKM47VaYSaa1bt+avv/665ra1a9fSrFkzrKysivZZt24dL7300jX7tGnT5qbHtbGxwcbGxoyRCyGEEEIIIYQoT8pK8mX58uXXNNi7qjQTA+WZyWTiqaeeYty4cbRs2ZIhQ4ZQUFCAtbX1dfu6u7uXflKykirt38u4ceM4dOgQ27dvv6fjFIdZE2lZWVnXFG08d+4cBw4cwN3dnYCAACZOnEhsbCzz5s2DKyeob7/9lvHjx/PEE08QHh7OrFmzWLBgQdExXnjhBTp06MAnn3zCgw8+yLJly1i/fn2pPFlCCCGEEEIIIW7MzsqCY5N7ajb2nSgryZeoqChiYmLo1q3bdT8rzcTAdazs1ZlhWrjDWU/ffPMNiYmJTJ48mejoaAwGAydOnKBRo0bX7Vvel3baWdqx+7Hdmo19J0rz9/Lcc8+xfPlytm7dip+f3x3FeTfMmkiLiIigc+fORd9fXV45YsQI5s6dS1xcHNHR0UU/r1GjBn///TcvvfQS06ZNo1q1anz99dc89NBDRfu0adOGhQsX8uabb/LWW29Rq1YtFi1aRMuW2kxvFEIIIYQQQgih1rK+m+WVWigryZfly5fTvXt37OyuTVKUdmLgOjrdHS+v1EJsbCxvvfUWCxYswMHBgTp16mBjY8ORI0du+Lss70s7dTrdHS+v1EJp/V4UReG5557jzz//ZPPmzdSoUaNEH8fNmPUs16lTp6JmATcyd+7c627r2LEj+/fvv+VxBw4cyMCBA0skRiGEEEIIIYQQlUdZSr4sW7aMxx9/vOh7rRID5dXzzz9P7969uf/++wGwtLSkQYMGN12qe7ezC2+32k5cq7R+L2PHjmX+/PksW7YMJyenonr6Li4u1yWnS1L5uFwghBBCCCGEEEKUgLKSfElISGDv3r0sXbq0aB+tEgPl0YoVK9i4cSNRUVHX3N6oUaNb1ry7G7dbbSf+UZq/lxkzZsCVSVz/NmfOHEaOHFmiY/2bTrnVlLEKKiMjAxcXF9LT03F2dtY6HCGEEEIIIYQod/Ly8jh37hw1atTA1tZW63CKZcWKFQwbNoyoqCi8vb2Lbh8+fDjp6eksW7asxMbavHnzNcmXq64mX2bNmsWcOXOuqYGm0+lueCxzJwaEqCxudd4qbq5IZqQJIYQQQgghhKgU+vTpQ2pq6nW3X22AV5JuV+po2bJlPPDAA9fcVgnnuQhR7ui1DkAIIYQQQgghhKhs2rVrx+DBg7UOQwhxh2RGmhBCCCGEEEIIUcpee+01rUMQQtwFmZEmhBBCCCGEEEIIIUQxSCJNCCGEEEIIIYQQQohikESaEEIIIYQQQgghhBDFIIk0IYQQQgghhBB3TTpNCiHKC5PJdM/HkGYDQgghhBBCCCHumJWVFTqdjsTERDw9PdHpdFqHJIQQN6QoCgUFBSQmJqLX67G2tr7rY0kiTQghhBBCCCHEHbOwsMDPz4+YmBjOnz+vdThCCHFb9vb2BAQEoNff/QJNSaQJIYQQQgghhJkYjCbi0vO4mJrDpbQ8UrMLSMkpIDW7gLScQvINRvINJgoMJgpNCpZ6HZZ6HdaWeqwt9LjYWeFib4WrnTXuDlb4uNjh66Z+Odtaaf3wcHR0pE6dOhQWFmodihBC3JKFhQWWlpb3PHu2UifS1q1bh4ODA126dGHv3r1kZmbi7u5OUFAQ27ZtA6BBgwaYTCZOnDgBQKdOnThw4ABpaWm4uLjQpEkTNm/eDEDdunWxtLTk2LFjALRr146oqCiSk5NxdHSkVatWrF+/HoBatWphb2/P4cOHAWjTpg2nT58mISEBOzs72rdvz9q1awGoXr06rq6uHDhwAICWLVsSHR1NXFwc1tbWdOnShbVr12IymfD398fT05P9+/cD0KxZM+Lj44mJicHCwoLu3buzYcMGCgsLqVatGn5+fuzZsweA0NBQUlNTuXDhAgC9evVi8+bN5OXlUbVqVWrWrEl4eDgAISEhZGVlcfbsWQC6detGeHg42dnZeHh4UL9+fbZv3w5AUFAQBQUFnDp1CoAuXboQERFBRkYGbm5uNGrUiK1btwJQv359AI4fPw5Ahw4dOHz4MKmpqTg7O9OsWTM2btwIQJ06dbC2tubo0aNFz/fx48dJSkrCwcGB1q1bFz3fNWvWxNHRkUOHDgHQunVrzp49y+XLl7G1taVTp06sXr0agMDAQNzc3Iqe7xYtWhATE8OlS5ewsrKia9eurFu3DqPRiJ+fH97e3kRERAAQFhZGYmIiFy9eRK/X06NHDzZu3EhBQQE+Pj4EBASwe/fuouc7LS2t6Opdjx492LZtG7m5uXh5eVG7dm127twJQKNGjcjJyeHMmTNFz/euXbvIysqiSpUqNGjQoOj5btiwIQaDgZMnTxa9ZiMjI0lPT8fV1ZXQ0NCi12y9evXQ6/VERUUB0L59e44ePUpKSgpOTk40b9686PmuXbs2tra2HDlyBIC2bdty8uRJEhMTsbe3p127dkWv2Ro1auDs7MzBgwcBaNWqFefPnyc+Ph4bGxs6d+7MmjVrUBSFgIAAPDw8rnnNxsXFERsbi6WlJd26dWP9+vUYDAZ8fX3x8fG55vlOSkoiOjoanU5Hz5492bRpE/n5+Xh7e1O9enV27doFQOPGjcnIyODcuXNFz/f27dvJycnB09OTunXrsmPHDgCCg4PJy8vj9OnTRa9ZOUfIOULOEXKOkHOEnCPkHCHniNudI7ILjBhdfIlNyiA/5RI5BUZ+v+RCe9d0nC2NJBZYsi/DkV4eaQCczrTHAmjklAPAykRXWrtm4W5lILXQgh1pzvTxTCUTCM+yp9Cko4lzNgBrklxp5Z5LoIMJW3t73GsEYZd4DCdbK+rVqS3nCDlHyDmiDJ4jkPcRZfoc4evrS3HolEpYGTIjIwMXFxfS09NxdnbWOhwhhBBCCCFEOZOdb2DfhVQiLqSy/0IqkdGpZBcYb7ivtYVenUXmaoeHozVuDta421vjam+FjZUFNldmn1la6DGaTBQaFQwmE/mFJtJzC0nLLSQtp5DkrHwupecSm5pLas6NZ4DpdFDHy5Em/m40CXClTS0PAqrYm/nZEEKI8q+4uaJKPSNNCCGEEEIIIYpDURSOXspg26kktp5MJOJCCoXGa+ckOFhbUN/HmXreTjTwdqJuVScCqzjg5WSDXl+yhfiz8w1cTM3h5OUsTl3O5ER8JsfiMohJzeXk5SxOXs5iUcRFAALc7WlXx4P2tT1oX9cTRxv5GCiEEHdLZqTJjDQhhBBCCCHEDSiKwoGLaaw8FMeqI/HEpuVe83NfVzta1HCnaaAbTQPdqFvVCYsSTpjdqcTMfCKjU4m8mMbecykcuJiGwfTPRz5rSz3tanvQK8ibbg2r4u5w953rhBCiIilurkgSaZJIE0IIIYQQQlyhKAqHY9P56+Al/j58bfLMzsqCNrWq0KGuJx3qelK9iv09F602t6x8A7vPJrPtVBKbTyRwPjmn6Gd6HXSs68nDzfzp2sALG0sLTWMVQggtSSLtFiSRJoQQQgghhPi3jLxClh24xILd0RyLyyi63d7agq4NqnJ/I2861fPC1qr8JpsUReFUQharj8Sz5mg8Ry/98zjd7K14MNSXh5v5EVTNRdM4hRBCC5JIuwVJpAkhhBBCCCEUReFgTDoLdkez/OAlcgvVZgHWlnp6NKxKnxCfcp88u5WziVn8sS+GxftjuJyRX3R7Qx9nhrYKZECYb4V97EII8V+SSLsFSaQJIYQQQghReZlMCuuiLjNzyxn2R6cV3V7by5HHWgQwIMwXV/vKUzvMaFLYeiqRPyJiWHfsMgVGEwBVHKwZ3ro6w1oHSi01IUSFJ4m0W5BEmhBCCCGEEJVPvsHI0shYZm49y9nEbLgy+6xPIx8GtwygWaBbma95Zm6p2QUs3h/DnB3ni+rD2VrpGdjUjzHtalLDw0HrEIUQwiwkkXYLkkgTQgghhBCi8sgrNPLLrgt8v/UsCZnqEkYnW0uGtQpkZNvqeDnZah1imWMwmlh1JJ7vt57lcGw6ADod9Ary5qXudalb1UnrEIUQokRJIu0WJJEmhBBCCCFExVdoNPF7RAxfbzhFfEYeAN7OtoxpV4PBLQNwtLHUOsQyT1EUdp1N4YdtZ9l4PAGuJNQebFyNF7vVpbrMUBNCVBCSSLsFSaQJIYQQQghRcZlMCn8dusSX605yPjkHAF9XO57vWpv+TfywttRrHWK5dCI+k6nrT7LqSDwAFnodA8P8eLF7HXxc7LQOTwgh7okk0m5BEmlCCCGEEEJUTDtPJ/H+yiii4jLgSsH8cV1q81jLAGwspQNlSTgSm87/1p5g04lEuFJD7emOtXiqQy3srOU5FkKUT5JIuwVJpAkhhBBCCFGxxKbl8uHKY/x9WJ0t5WRjyZMdajK6XQ0cZAmnWey7kMKUv48TcSEVAB8XW17vVZ8HGldDr6/cTRuEEOWPJNJuQRJpQgghhBBCVAx5hUZmbjnLjC2nySs0odfB0FaBvNStLm4O1lqHV+EpisLKw3FM+ft4UZfPJgGufNAvmKBqLlqHJ4QQxSaJtFuQRJoQQgghhBDl34aoy7yz/CgxqWoCp0UNd957IIgGPvIev7TlFRqZveMc0zaeJrvAiF4Ho9rWYHz3ujIjUAhRLkgi7RYkkSaEEEIIIUT5lZJdwLvLj7L84CW4sqRw0n0N6BPig04nSwq1dDkjj/dXHGPFoTi48rt594EgegZ5ax2aEELckiTSbkESaUIIIYQQQpQ/V5cRvrPsKMnZBeh18ET7mrzQrQ721jLrqSzZfCKBt5cdJTpF7ZraK8ibD/oH4+Foo3VoQghxQ5JIuwVJpAkhhBBCCFG+JGTk8ebSI6w9dhmAelWd+HRgCI39XbUOTdxEXqGRbzaeYuaWsxhMCu4O1kx+MIg+IdW0Dk0IIa4jibRbkESaEEIIIYQQ5YOiKCzeH8vkv46SkWfAUq9jbOfajO1cG2tLvdbhiWI4eimdV34/RFRcBgD3N/Jh8oNBVJHZaUKIMkQSabcgiTQhhBBCCCHKvtTsAiYsOcSao+ostEa+Lnw6MESaCZRDBQYT0zadZtqm0xhMClUcrPns4RC61K+qdWhCCAF3kCsqlUs406dPp0aNGtja2tK0aVO2bdt2031HjhyJTqe77isoKKhon7lz595wn7y8vNJ4OEIIIYQQQggz23kmid5fbWPN0ctYWeh4tWc9/ny2jSTRyilrSz0vda/L0rFtqe/tRHJ2AaPnRvDu8qPkFRq1Dk8IIYrN7Im0RYsW8eKLL/LGG28QGRlJ+/bt6d27N9HR0Tfc/6uvviIuLq7o6+LFi7i7u/Pwww9fs5+zs/M1+8XFxWFra2vuhyOEEEIIIYQwowKDiY9XHWfIj7uJz8ijpocDS55py9jOtbG0kKWc5V2wrwtLx7ZldNsaAMzdeZ5+03Zw8nKm1qEJIUSxmH1pZ8uWLQkLC2PGjBlFtzVo0IB+/foxZcqU295/6dKlDBgwgHPnzhEYGAhXZqS9+OKLpKWl3VVMsrRTCCGEEEKIsudiSg7j5u/nYEw6AINb+PNWn4bSkbOC2nQigVd/P0hSVgE2lnre7tuQx1oEoNPptA5NCFEJlYmlnQUFBezbt48ePXpcc3uPHj3YuXNnsY4xa9YsunXrVpREuyorK4vAwED8/Pzo06cPkZGRJRq7EEIIIYQQovRsiLrM/V9v42BMOi52Vnw3NIwpA0IkiVaBda7nxaoXOtCxrif5BhNv/HmE8b8dJKfAoHVoQghxU2ZNpCUlJWE0Gqla9doCklWrViU+Pv6294+Li2PVqlU8/vjj19xev3595s6dy/Lly1mwYAG2tra0bduWU6dO3fA4+fn5ZGRkXPMlhBBCCCGE0J7BaOLT1ccZ81MEGXkGQv1d+fuF9vQK9tE6NFEKPJ1smDOyORN618dCr+PPyFj6TdvBmcQsrUMTQogbKpUiA/+dmqsoSrGm686dOxdXV1f69et3ze2tWrVi6NChNG7cmPbt2/Pbb79Rt25dvvnmmxseZ8qUKbi4uBR9+fv73+MjEkIIIYQQQtyrxMx8hs3aw/TNZwAY2aY6vz3VGl9XO61DE6VIr9fxdMda/Pp4SzydbDh5OYsHvtnOikOXtA5NCCGuY9ZEmoeHBxYWFtfNPktISLhultp/KYrC7NmzGTZsGNbW1rfcV6/X07x585vOSJs4cSLp6elFXxcvXryLRyOEEEIIIYQoKQcuptHnm22En03GwdqCbwY34d0HgrC2lIYClVWrmlVY+Xw7WtV0J7vAyLj5kUz5OwqjyaxlvYUQ4o6Y9a+UtbU1TZs2Zd26ddfcvm7dOtq0aXPL+27ZsoXTp08zZsyY246jKAoHDhzAx+fG079tbGxwdna+5ksIIYQQQgihjSX7Y3hkZjiXM/Kp4+XIsnHt6Nu4mtZhiTLAy8mWX8a05OmOtQCYufUso+fuJT23UOvQhBACSmNp5/jx4/nxxx+ZPXs2UVFRvPTSS0RHR/P000/Dldliw4cPv+5+s2bNomXLlgQHB1/3s/fee481a9Zw9uxZDhw4wJgxYzhw4EDRMYUQQgghhBBlj9GkMOXvKMb/dpACg4nuDavy59i21PZy1Do0UYZYWuiZ0Ls+3wxugq2Vni0nE+k3bQenE6RumhBCe2ZvgTNo0CCSk5OZPHkycXFxBAcH8/fffxd14YyLiyM6Ovqa+6Snp7N48WK++uqrGx4zLS2NJ598kvj4eFxcXGjSpAlbt26lRYsW5n44QgghhBBCiLuQnlvICwsj2XwiEYDnutTmpW510etvXztZVE59G1ejhocDT86L4FxSNv2n7eCrwaF0qX/rMkFCCGFOOkVRKt2C84yMDFxcXEhPT5dlnkIIIYQQQphZdHIOo+bu4UxiNrZWej5/uDF9QirhUk5FgWI0XRPXSsrK59lf9rPnfAp6HbzTN4gRbaprHZYQooIpbq5IEmmSSBNCCFERGfIhdj/E7oPEKEg5D9kJkJcOJgPo9GDrCg6e4F4TPOuCbzOo1gSs7bWOXghRgeyPTuWJnyJIzi6gmost3w9vRrCvi9ZhmU9hLsTsVc+/cYcg9TxkxEJ+JhTmgN4SrOzB0Qucq4FXQ/BuBIFtwb2G1tGXWQUGE28tPcKiCLVx3Ki21Xnz/oZYyIxGIUQJkUTaLVx9cv744w8cHBzo0qULe/fuJTMzE3d3d4KCgti2bRsADRo0wGQyceLECQA6derEgQMHSEtLK1pWunnzZgDq1q2LpaUlx44dA6Bdu3ZERUWRnJyMo6MjrVq1Yv369QDUqlULe3t7Dh8+DECbNm04ffo0CQkJ2NnZ0b59e9auXQtA9erVcXV15cCBAwC0bNmS6Oho4uLisLa2pkuXLqxduxaTyYS/vz+enp7s378fgGbNmhEfH09MTAwWFhZ0796dDRs2UFhYSLVq1fDz82PPnj0AhIaGkpqayoULFwDo1asXmzdvJi8vj6pVq1KzZk3Cw8MBCAkJISsri7NnzwLQrVs3wsPDyc7OxsPDg/r167N9+3YAgoKCKCgoKOqq2qVLFyIiIsjIyMDNzY1GjRqxdetWAOrXrw/A8ePHAejQoQOHDx8mNTUVZ2dnmjVrxsaNGwGoU6cO1tbWHD16tOj5Pn78OElJSTg4ONC6deui57tmzZo4Ojpy6NAhAFq3bs3Zs2e5fPkytra2dOrUidWrVwMQGBiIm5tb0fPdokULYmJiuHTpElZWVnTt2pV169ZhNBrx8/PD29ubiIgIAMLCwkhMTOTixYvo9Xp69OjBxo0bKSgowMfHh4CAAHbv3l30fKelpXH+/HkAevTowbZt28jNzcXLy4vatWuzc+dOABo1akROTg5nzpwper537dpFVlYWVapUoUGDBkXPd8OGDTEYDJw8ebLoNRsZGUl6ejqurq6EhoYWvWbr1auHXq8nKioKgPbt23P06FFSUlJwcnKiefPmRc937dq1sbW15ciRIwC0bduWkydPkpiYiL29Pe3atSt6zdaoUQNnZ2cOHjwIQKtWrTh//jzx8fHY2NjQuXNn1qxZg6IoBAQE4OHhcc1rNi4ujtjYWCwtLenWrRvr16/HYDDg6+uLj4/PNc93UlIS0dHR6HQ6evbsyaZNm8jPz8fb25vq1auza9cuABo3bkxGRgbnzp0rer63b99OTk4Onp6e1K1blx07dgAQHBxMXl4ep0+fLnrNyjlCzhHl4hxx6gRkXaZbwTp2JTmQpXekSmEcDbJ3sd21v3qOyN6FQWfNSfsw9TWbuohIp26kW1bB1ZBIaM4ONvs8AQ5e1Attjd7OWc4Rco6Qc0RFOUdo8D5i0bJVHIlN53CmHVXdHOlfXcHaUl/xzhHVq7Fjw9+QGU9w8kryFCtO24Wqr9nUBex16kWmpRvuhfEEZe9km+sA9RyRvRuTzoIT9s3U59sUzgHvh0mzDcDFy58mYWFyjvjPOeJ8lp7pkbn08EjH08maAV1aoVeMco4op+cIeR8h7yPK0vsIX19fQkJCJJF2IzIjTQghRIUSdxB2z4QjS8CQ+8/t9h4Q0AqqBkGVOuBUFezc1NkQJoM6Oy0zHpLPwOUj6gyKzLh/7m9hDQ36Qqux4NdUk4cmhCifFEVh1vZzfPh3FIoCXep78c3gJjjYmL1Ec+lKPAHh0+Dw7+pss6ucqkFAS/AJhSq1wdVfnQVsZa+efwuy1fNtWjRcPqrOXouNUH92VdVgaP44NH4UrOw0eXhl1YpDl4oaVgT7OjN7RHO8nG21DksIUc7JjLRbkESaEEKICiF2H2z5DE6u+uc2zwYQPADq9wGvBndWi0dRIOkknPgbDv+hJteuqt4eOr8Bga1L9jEIISoco0lh8l9H+SlcnVUwrFUg7/RtiKWFXuvQSk5CFGz6EKL++ue2KrUh5FGof/+dn38B8rPg7GY4+iccX/nPhRHHqtD2BWg2BqwkWXTVvgupPDlPXTIc4G7Pz2NaEFjFQeuwhBDlmCTSbkESaeJ2MvMKOZ+Uw7nkbC4kZZOYlU9aTiGpOQXkFBgxmBRQFOytLXG0tcTJ1hJnWyvc7K2p7mFPTQ9HqnvY42RrpfVDEUJUROmxsO4tOLJY/V6nh6D+0OIp8G9RMoWsFQXiDqgz3Q7//s8sibq9oeeHUKXWvY8hhKhw8g1Gxv92kJWH1Nmtb9zXgMfb10BXUQrsZyfDhndh/8+AAujUxFnrsRDQuuQaCeSmQuSvsPs7SFdrguEaAN0nQ8N+0rDgigvJ2QyfvYcLyTl4OFozd1SLil1/TwhhVpJIuwVJpIl/UxSFk5ez2HU2mQMX0zhwMY1zSdklcmwPRxsa+DjRvLo7zaq70cTfDTtrixI5thCiEjIaYNc02PwJFGarCbSQQdD+FfCobb5x02Nh62ewfx4oRrCwgfbjod14sLQ237hCiHIlK9/A0z/vY/vpJKwsdHzxSCh9G1eQzpyKAgd+hTVvQF6aeluDvtD5TfCqb75xDQVwcL563s+8pN5Wqwv0mQpugeYbtxxJyMxj5Oy9HIvLwNHGkh+GN6N1rSpahyWEKIckkXYLkkgTJpPCnvMp/HXwEuujLnM5I/+6fTwcbahexZ7AKg74uNjiaq/OOHOwscTySneg7AIDWfkGsvLUfy9n5BXNZEvMvP6Ylnodwb4udKzrSa9gb+p7O1WcK7RCCPNKOQtLnoIYtSAr/i3hvs/Ap3HpxZB0Cla9BmfUwsB4N4L+M9UabEKISi05K59Rc/dyKCYde2sLZg5rSvs6nlqHVTKyEuCvF9Rl71ypXXbf56W71L0gG3Z8Ddu/BGM+WDlAr48gbITMTgMy8gp54qcIdp9LwdpCz9eDQ+kV7KN1WEKIckYSabcgibTK60R8Jr9FXGTloTjiM/KKbre10tO8ujtNA90I9XelsZ8rbg73NssiM6+Qs4nZHIxJY+/5VPaeS7lmTIAAd3t6BlWlV7APYQGuklQTQtzYgfmw8hV1FpqNM/T8CEKHgF6DekOKAkeXqPHkpqgNCXpNUWv3yDlMiEopJjWH4bP2cDYpGzd7K+aOakFjf1etwyoZpzfAkicgJ1k933WeBK2fAwuNmiYknYLlz0G02rmOhg9C36/BroI83/cgr9DICwsjWXP0MnodfNi/EYNbBGgdlhCiHJFE2i1IIq1yMZkUtpxKZNa2c2w/nVR0u5OtJb2CvLk/xIdWNatga2XeJZeKohCblkv4mWTWHrvM1pOJ5BtMRT+v5enA4BYBDAjzw/0ek3hCiArCUACrJ0DELPX7wLbQ/zu1To7WshJg+fP/NDoIfgge+Bas7bWOTAhRis4mZjHkx93Epefh62rHvDEtqOXpqHVY905RYNv/YOMHai20qsHqDFzvYK0jA5MJdn4NG99X61e614RH56sNDio5o0nhzaWHWbBHrSv3So+6jO1cWy5WCyGKRRJptyCJtMrBaFL4MzKWGZtPcyZRrXmm10GPht4MCPOlYz1PbCy1q1eWnW9g68lEVh+NZ92xy+QUGAGwttDTK9iboa0CaV7dTf7wC1FZZV6G34bDxV1qMevOk6D9y6AvQ3UWFQXCp8H6d9QPc75NYfBCcPTSOjIhRCk4EZ/JkB93k5SVT20vR34Z0xJvlwrQVbIgG5Y8CcdXqN+HjYDen5a9jpmx++C3EWozAisHGDgL6vXWOirNKYrC/9ae5NtNpwF4tlMtXu1ZT95TCyFuSxJptyCJtIpNURQ2n0jk41XHOXE5EwAnG0sGNfdnRJvq+LuXvdkSmXmFLD94iQV7ojkSm1F0e1iAK892qk3XBl7yx1+IyiTpNPwyANIugI0LPPQD1O2pdVQ3d2EnLHxM7TLnGgBD/gDPelpHJYQwoyOx6QydtZu0nEIa+Djzy5gWVHG00Tqse5edBPMfUZNUFtZqLbSmI7SO6uayk+GPUXBuC+gsoO9XEDZM66jKhB+3neWDlVEAPN6uBm/c30DeTwshbkkSabcgibSK60hsOh+sPMausykAONta8kyn2gxtFYCTrZXW4RXL4Zh05u+5wOL9sRRcWfpZr6oTz3SqRZ8QHywtNKiJJIQoPTER6oe4nGRwq6EmpczZkbOkJJ2GXwdC6jmwdYFBv0KN9lpHJYQwg30XUhk5Zw+ZeQYa+7syb1QLXOzLx/usW0o5C788pP5r5waDF0FAS62juj1jodoM4cCv6vdd31a7KkvSiHnh53l72VEARrQO5N0HgiSZJoS4KUmk3YIk0iqevEIjX64/yQ9bz2JSwNpSz8g21Xm2Uy1c7ctnvbGEzDxmbT/Hr7uiyco3AFDT04HXe9WnR8Oq8iZAiIro7GZYMBgKc6BaE3jsd3AsR13vspPU+GP2gN4KHv21bM+kE0LcsfAzyYz5aS85BUZaVHdn1shm5eZi5S0lnoSf+kDWZXVm7dAl4FFH66iKT1Fgw2TY/oX6fcunoecUbZrSlDEL9kQz6c/DKAoMbhHAh/2C0evlfbQQ4nqSSLsFSaRVLLvOJjNh8SHOJ+cAcH+ID5Pua4Cvq53WoZWI9JxC5oWfZ/aOc6TmFALQLNCNifc1oGmgm9bhCSFKyplNsOBRMORBra7wyDywKYcFuwtzYfHjam0hC2u1AHad7lpHJYQoATvPJDF67l7yCk20r+PBzGFNsbfWqHtlSUqIgp/6Qnai2lRg6BJwqqp1VHdn1wy1SQ1Ak6HQ9xtJpgG/R1zktcWHUBQY2NSPTx4KwUKSaUKI/5BE2i1IIq1iyDcY+WhlFD+FXwCgqrMNH/RrRPeG5fSNz21k5BUyc8sZftx2rqjbZ+9gbybd16BM1n0TQtyB0xvUGmOGPKjTEwb9DJbluNaQsRD+GA1Ry8HC5koyrZvWUQkh7kH4mWRGzd1DXqGJTvU8+W5oU7N3PC8Vl4+pM9FyksG7EQxfDvbuWkd1bw79Dn8+CYoJWjwFvT+RZZ7AsgOxvLToACYF+oVW4/OHG0vJFCHENSSRdguSSCv/opNzGDt/P4dj0wF4rGUAE3rXx7kiLC24jbj0XL5cd5I/9sVgUsDWSs9zXerwRPuaWFvKmwEhyp0LO+Hn/moSrW5veOSn8p1Eu8pYCL+PvDIzzQYGL4DaXbWOSghxF3adTWbUnL3kFhrpWNeTmcMqSBIt5RzM7qku5/QJhWF/lv8k2lUHFsDSp9XtduOh2ztaR1QmrDwUx/MLIzGaFPqE+DB1UKgk04QQRSSRdguSSCvf1hyN55XfD5KZZ8DN3oovBoXSuZ6X1mGVuhPxmbyz/EhRY4XaXo68/2AwrWtV0To0IURxxR+GOfdDfjrU6aEW6Lcsn3Udb8hQoCbTTqwES1t1pkd5KNwthChSYZNomfFqEi31PHgFwaiVaoOBimTvLFg5Xt3u8iZ0eFXriMqENUfjGTd/P4VGhQFNfPn84cZSM00IAZJIuzVJpJVPJpPCJ2uOM3PLWQDCAlz59rEwqlWQWmh3Q1EUlh6I5YMVUSRnFwAwIMyXt/s0LLdNFoSoNFLOwqyekJ0AAa3VmjzWFXCZtqEAFg2FU2vAzh0eXw9VamkdlRCiGHafTWbklSRah7qefF9Rkmi5aTDnPkg4qnZHHr0anLy1jso8dn4Da99Ut+/7HFo8oXVEZcKao/E8++t+jCaFR5v781H/RpJME0IUO1ck81hFuZBXaGTs/P1FSbQn2tdg0VOtK3USDUCn09G/iR8bX+7EkJYB6HSwZH8sPb7cyqbjCVqHJ4S4mZwU+GWgmkSrGgyDF1bMJBqoM+wenqN2Ic1NgV8Hqt09hRBl2oGLaYyeWwGTaMZC+G24mkRz9IbhSytuEg2gzXPQaaK6veo1OLVe64jKhJ5B3kwdFIpeBwv3XuS9v45SCeeXCCHukiTSRJmXnJXP4B92sepIPNYWer56NJQ37m+IldQzKOJib8WH/Rux+Jk21PR0ICEzn1Fz9zJh8SGy8g1ahyeE+DdDgfohLuUMuPjD0MVg56p1VOZl7QCP/QauAepMvAWPqt09hRBl0vH4DEbM3kN2gZE2tapUnCSaoqhLHc9tASsHGPI7uFXXOirz6/g6NH5MbT7wxyi1S6mgb+NqfDawMTod/BR+gY9XHZdkmhCiWCQTIcq0s4lZDJixk8joNFzsrPh5TAseDPXVOqwyKyzAjZXPtWd02xqAeoWt19St7DqbrHVoQgiufIhb8RKc3wbWTvDYooo9E+LfHL1gyB9g6woxe2HJk2AyaR2VEOI/ziZmMfTHPaTnFtIkwJUfhjerGEk0gJ1fw/55oNPDwNngE6J1RKVDp4O+X0FgW8jPgPmPQFai1lGVCQ819ePDfo0AmLn1LF+uP6V1SEKIckASaaLMOhGfycPfhXMhOQd/dzsWP9OGljWlkP7t2Flb8Hbfhix4ohW+rnbEpOby2A+7mLr+JEaTXGUTQlO7psOBX9QPcQ/PgapBWkdUujzrwaPzwcIaopbDts+1jkgI8S8xqTkM/XE3SVn5NPRxZu7IFjjYWGodVsk4tR7WXelc2XMK1OuldUSly9IaHvlZrQmXFg2LhkBhntZRlQmPtQzgnb4NAfh6wymmbTqtdUhCiDJOEmmiTIqKy2DwD7tIzi4gqJozS55pS20vR63DKlda16rCmpc6MLCpHyYFpq4/xdAfd5OQIW+ahNDEuW2w9i11u+dHUKe71hFpo3pb6DNV3d70EZxap3VEQgggITOPoT/u5lJ6HrU8HZg3pgUu9lZah1UyUs7C4tGAAmEjoOVTWkekDYcq6jJ7Gxe4uBtWvqzOlBaMaluDib3rA/DZmhPM2n5O65CEEGWYJNJEmXP0UjqP/bCLlOwCQvxcmP94KzydbLQOq1xytLHk84cb88UjjbG3tiD8bDK9v9rG1pMynV+IUpUeA7+PBMUIIYOg5dNaR6StJkOg6Sj1Q+3ixyH1vNYRCVGppWYXMOzHPZxPzsHPzY5fHm+Jh2MFee9VkA0Lh0JeOvg1h/s+U5c6VlaedeGRuerM6AO/wP6ftI6ozHiqYy1e6lYXgPdXHGPxvhitQxJClFGSSBNlypHYdIb8uJvUnEIa+7nw85iWFedqqIYGhPmxfFw76ns7kZxdwIg5e/hi3UlMstRTCPO72lwgJwm8G6mzsSrzh7iren8Cvk0hLw0WDZXmA0JoJDOvkBFz9nDiciZeTjb8+nhLfFwqSFd0RYG/XlQ7dDp4wSPzwLKCJAjvRa0u0OXKDOm/X4XYfVpHVGY837U2j7dTaw2/tvgQG6Iuax2SEKIMkkSaKDPOJGYxbNZu0nIKCfV35efHW+JiJ0m0klLby5GlY9sypGUAiqLWgHjy5wgy8gq1Dk2Iim39u+qHFFtXGPQLWNtrHVHZYGmjfqi194D4w7BivCwxEqKU5RUaGfNTBIdi0nGzt+LXx1sSWMVB67BKTuTPcPg30FnAIz+BczWtIyo72r0E9fuAsQD+GK3O2BPodDom3deAAWG+GE0Kz/66n73nU7QOSwhRxkgiTZQJlzPyGD5rD6k5hYT4ufDzmBY420oSraTZWlnwYf9G/O/hxlhb6lkflUC/aTs4nZCldWhCVEwnVsGuaep2vxngVl3riMoWFz+1c55ODwfnw8GFWkckRKVhNCk8vyCSPedScLKx5OcxLalT1UnrsErO5WPw92vqdpc3IbCN1hGVLTodPDgNXAPU5fV/vSgXM67Q63V88lAIXet7kW8wMXruXqLiMrQOSwhRhkgiTWguI6+QkXP2EpuWS/Uq9swZ2RwnSaKZ1UNN/fjj6db4uNhyNjGbftN2sP6YTF0XokSlx8DSZ9TtVs9C/fu0jqhsqtkROk1St/9+RS0KLoQwK0VReGvZEdYeu4y1pZ4fRjQj2NdF67BKTkE2/DEKDLlQqyu0fVHriMomO1d4aDboLeHoEnUGnwDAykLPtCFhNK/uRmaegeGz9xCdnKN1WEKIMkISaUJT+QYjT83bR1RcBh6ONswb3ZIqFaW4bRkX4ufK8nHtaFHdnax8A4/Pi2DG5jMocjVSiHtnMsKSJyE3FXxCodu7WkdUtrUfDwFtoCBLbT5glCXnQpjTNxtPM393NDodfDUolFY1q2gdUsla+yYkHgdHb+g/E/Tykeem/Jv/q17aa5AQpXVEZYatlQU/jmhOfW8nEjPzGTprNwmZeVqHJYQoA+SvitCMoii88vshws8m42hjydxRzQmoIrWDSpOnkw2/PN6SYa0CAfhk9XEm/XmYQqNJ69CEKN92fgMXdoC1o7p0UYpb35reAgZ8D7Yuaj25zR9rHZEQFdbCPdF8se4kAJMfCKJ3Ix+tQypZJ1ZDxGx1e8BMcPTUOqKyr83zagMCQy4sfkJtkiMAcLGzYt7oFgS42xOdksOI2XtJz5WLPUJUdpJIE5qZvvkMfx28hJWFju+GNq1YSwrKEWtLPe/3C+advg3R62DBnouMnrtXmhAIcbfiD8PGD9TtXlOgSi2tIyofXP3VjqYA2/4H57drHZEQFc66Y5eZ9OdhAMZ1rs2w1hWsbmNWIiwfp263Ggs1O2kdUfmg10O/78DOHS4fhi1yMePfvJxt+XlMCzwcbYiKy+CpnyPINxi1DksIoSFJpAlNbDqewOdrTwDw3gPBtKvjoXVIld6otjX4flgz7Kws2HYqiYEzdhKTKrUghLgjhXnqkk5TodoNrckwrSMqX4IHQOgQQIE/n4H8TK0jEqLC2HchhXHz92NS4JFmfrzco67WIZUsRYG/XoDsRPBqCF3f1jqi8sWpKvS9cjFj+5dwcY/WEZUpgVUc+Gl0cxxtLNl1NoXX/zgk5VCEqMQkkSZK3dnELJ5fGImiwGMtA3isZYDWIYkrujWsyu9Pt8bLyYaTl7PoN20nRy9JO3Qhim3Lx5BwDBy8oO9Xalc0cWd6f6J2kUuPhnXvaB2NEBXC6YRMxvwUQb7BRJf6XnzUvxG6inZ+Ovw7nFgJFtYw4AewstU6ovKn4YMQMggUE/z5tNq0QRQJqubC9CFhWOp1LD1wqWhSgBCi8imVRNr06dOpUaMGtra2NG3alG3btt10382bN6PT6a77On78+DX7LV68mIYNG2JjY0PDhg35888/S+GRiHuVmVfIkz/vIzPPQLNAN97tG6R1SOI/gn1dWDq2LfW9nUjKyufRmbsIP5OsdVhClH1xB2HH1+p236ngIDNt74qNEzzwrbodMQvObtE6IiHKtfj0PEbM3ktaTiGh/q58+1gTLC0q2LX07CRY9bq63fE18A7WOqLyq/en4FQNUs7AemmU818d6nry0YBGAEzbdIb5u6O1DkkIoQGz/xVdtGgRL774Im+88QaRkZG0b9+e3r17Ex1965POiRMniIuLK/qqU6dO0c/Cw8MZNGgQw4YN4+DBgwwbNoxHHnmE3bt3m/vhiHugKAov/3aQ0wlZeDvbMn1oGNaWd/ASNJkgL0N9s1SQrX4vzKKaqx2LnmpNixruZOYbGDFnD6uPxGkdlhBll9EAy8aBYoSg/lD/fq0jKt9qdoRmo9Xt5eMgP0vriIQol7LzDYz5aS+xabnU9HBg9sjm2Ftbah1WyVv1OuSmQNVgaPui1tGUb3au8OCVixl7vocL4VpHVOY80syfF7qqn03fXHqYTccTtA5JCFHKdIqZF3e3bNmSsLAwZsyYUXRbgwYN6NevH1OmTLlu/82bN9O5c2dSU1NxdXW94TEHDRpERkYGq1atKrqtV69euLm5sWDBgtvGlJGRgYuLC+np6Tg7O9/1YxN3Zu6Oc7z71zGsLfT89nRrQv1v/PuFK3WGLu6Cc1vhUiQknoTMS+pU86v0Vurynyq1wa85BLYG/1ZgUQHfIGokr9DI8wsiWXvsMnodfNi/EYNbyFJcIa6z/Uv1yr2tK4zbC45eWkdU/uVnwvQ26hLP5k/A/Z9rHZEQ5YrRpPDkvAg2HE+gioM1S8e2xd+9AnZHP7EaFgwCnR4e3wC+YVpHVDEsGwuRv0CVOvD0dlkq+x+KovDqH4f4Y18M9tYWLHqyNY38pHGaqGQK8yrcuaG4uSKzzkgrKChg37599OjR45rbe/Towc6dO2953yZNmuDj40PXrl3ZtGnTNT8LDw+/7pg9e/a86THz8/PJyMi45kuUrmOXMvjob3V57hv3N7hxEk1R1KteS8fC53Vg3oNq57YzGyEj5tokGqjFvFPOwKk1sOkDmHs/fF5b/cN/ca96PHFPbK0smD4kjEHN/DEpMHHJYaZtOq11WEKULclnYPOVDme9pkgSraTYOMGD36jbe3+QLp5C3KH3Vxxjw/EEbCz1/DCiWcVMouVlwIqX1O3W4ySJVpJ6fACOVSH5FGz9VOtoyhydTseUAY1oX8eDnAIjo+bu5WKKNOkSlYiiwK8DYfHjkFX5ZmWaNZGWlJSE0WikatWq19xetWpV4uPjb3gfHx8fvv/+exYvXsySJUuoV68eXbt2ZevWrUX7xMfH39Exp0yZgouLS9GXv79/iTw+UTw5BQaeW7CfAqOJbg28GN468NodFEW9mjirO8zpBQd+gfwMcPKBkEehz1QYvQZePgFvxMPbKTDpErx4GEasgF6fQPBDYF8FclPVq2ezusHMDnB0qSwBvUeWFno+fqgRYzvXAuCzNSf4bM1x6VQkBFeWnC9/Hgx5UKsLNB6sdUQVS81O0HSkur3iJTAUaB2REOXC3B3nmLvzPABfDgolLMBN65DMY/076ooFtxrQaaLW0VQsdm5w35WZwNunQtwhrSMqc6ws9EwfElZUV3jknD2k5cjfKVFJHP4dzm+DqL+gsPIlkUtlDdx/uwIpinLTTkH16tWjXr16Rd+3bt2aixcv8vnnn9OhQ4e7OubEiRMZP3580fcZGRmSTCtF7684xpnEbLycbPh0YONrf0/xR2DNRHUJJ4CFDYQ8DKFD1GWa+pvkeq0d1C/XAKjRHnharVEUHQ4H5sPRJRB/CH4fobZA7/mh+iFX3BWdTserPevjbGvFlFXHmbbpDLkFJt7q06Didf0S4k7s/wkubAcrBzXpL/8fSl63d+H4Skg6CTu/hg6vaB2REGXahqjLTF5xDIDXe9XnvkY+WodkHue3Q8RsdfuBr8G6As6401rDB6DBAxC1HJY/B09sBL2F1lGVKU62Vswd1YL+03dwJjGbZ3/dz0+jW2BV0Rp6CPFvuWmwZpK63eEVcKuudUSlzqz/wz08PLCwsLhuplhCQsJ1M8pupVWrVpw6daroe29v7zs6po2NDc7Oztd8idLx9+E4Fuy5iE4HUweF4u5grf7AUACbPoLvO6pJNAsbaPO8OsvswWkQ2ObmSbSbsbBUk2r9Z8D4KOj4Oti4QMIx+Lk/LBwCGZfM8jgri6c61uK9B9ROq7N3nOONpUcwmWRmmqikMi7BurfV7a5vgVvg7e4h7oadG/T8SN3e+hmknNM6IiHKrCOx6Ty3IBKTAo829+fpjjW1Dsk8CnPV2cAAYSOgRofb3UPcrfs+V99Pxx2AfXO0jqZM8naxZfbI5jhYW7DzTDJvLzsqKzdExbbxA8hOVGsotnle62g0YdZEmrW1NU2bNmXdunXX3L5u3TratGlT7ONERkbi4/PP1bTWrVtfd8y1a9fe0TGF+SVk5DFhsToN/NlOtWhT20P9Qco5+LErbPkETAZo0Fctzt3jfXAqfoL1luzdofMkePEgtHwGdBZwfAVMa6Uu/ZQ/bndtRJvqfPpQCDodzN8dzSt/HMRglOWzohL6+1V1GbpvM2jxpNbRVGyNHlY/KBvy1OddzuFCXCcuPZcxP+0lp8BIu9oevN8vuOLOGt/6uVon18kHuk/WOpqKzakqdHlT3d4wGbKTtI6oTGrg48zXg5ug08GCPdHM2i4XfUQFFbsf9v6obt//P7C00ToiTZh9zun48eP58ccfmT17NlFRUbz00ktER0fz9NNPw5Vll8OHDy/af+rUqSxdupRTp05x9OhRJk6cyOLFixk3blzRPi+88AJr167lk08+4fjx43zyySesX7+eF1+UdtdlhaIoTPrzCBl5BkL8XHixW131BydWw8yO6rJLO3d4eC4M+sV8Mzns3KD3x2q3oWphkJ+uNiNYPEYtUCvuyiPN/Zk6KBQLvY4l+2N5+feDGGVmmqhMTq1Tk/N6S3jgG1nqYm46Hdz/BVhYw+l16jIjIUSRrHwDY+ZGcDkjnzpejkwfGlZxl5Yln1GXeQP0/hTsbtEFXpSMZqPBuxHkpat16cQNdW1QlTfuawDAh39HsSHqstYhCVGyTEZYOR5Q1IucNTtqHZFmzP4XdtCgQUydOpXJkycTGhrK1q1b+fvvvwkMVBMncXFxREdHF+1fUFDAK6+8QkhICO3bt2f79u2sXLmSAQMGFO3Tpk0bFi5cyJw5cwgJCWHu3LksWrSIli1bmvvhiGJafvAS66MuY2Wh47OBjdU3c7u+gwWPqsksvxZqciuof+kEVLUhjFkHXd9WZ6cdWQzfd4KE46UzfgX0YKgv0x5rgqVex7IDl3hFkmmisii8MisKoOXT6vlFmJ9HHWh3pTvfqtchP1PriIQoE4wmhRcWRHIsLgMPR2tmj2yOs62V1mGZh6LAqtfAWAC1u6mrGoT5WVjCff9TtyN/gYt7tI6ozBrTrgaDW/ijKPD8gkii4uTCvahAImbDpUiwcYYeH2odjaZ0SiVcwJ2RkYGLiwvp6elSL80MEjPz6f7lFtJyChnfvS7Pd6kNa9+E8G/VHZqOUq8gWlprE2D0bvhjNGTEqCeBgbOhTndtYqkAVh+JZ9z8/RhMCgOa+PLZw42x0FfQpSRCAGz5DDZ9AI7e8FwE2DhpHVHlUZgH01tB6jlo9Sz0mqJ1REJobsqqKGZuOYuNpZ6FT7aiSUXt0AkQtQIWDVFnpz67C6rU0jqiymXpWDjwizo77cktMhv7JgqNJkbM3sPOM8n4utqxdGxbPJ0q5/I3UYFkJcA3zdRJMb0/g5YVs6xJcXNFFXTOt9DSO8uPkJZTSEMfZ57pWANWvvxPEq3be9DnS+2SaAABLeGprRDQRq1vNP8RiJDiqXerV7A33wxuoi7zjIzltT8Oycw0UXGlRcO2K1fle3wgSbTSZmWr1uMA2P0dxB3SOiIhNLVkfwwzt5wF4NOBIRU7iVaQA6snqtttnpMkmha6vQu2LhB/+J+OqeI6VhZ6pg8Jo4aHA7FpuTz5cwR5hUatwxLi3qx9U02i+TSG5mO0jkZzMiNNZqSVqL8Px/Hsr/vV5X5j2xC0/90rHX508OC30GSo1iH+w1AAK19Sp6gDdH5Tbd9bUQvzmtnKQ3E8vzASo0nh4aZ+fPJQCHqZmSYqmoVD1Npoge1g5ArNzhf5xnyOJR/jeMpx9OixtbTFzdaNMK8wHK0dNYmpVP0+Eo7+qfnvQdydnMIcDicd5kTKCUyKCZ1Oh7eDN82qNqOKXRWtwys3IqNTGfT9LgoMJsZ2rsWrPetrHZJ5bfxA7dzr4g9jd4O1gyZh5BpyOZx4mFNpp8gpzMGkmAhwDqC2a21qu9auuA0ertr7o3qR3MYFntsHjp5aR1RmnU3Mov/0naTnFtK3cTW+fjRU89eH0WTkeMpxDicdJt+YT6GpEA87Dxp7Nqa6c3XN4xNl1Llt8FMf9TP9ExvAt6nWEZlNcXNFlqUalajQ0nMLeXvZEQCe6VSLoGNfqkk0nR76zYDGj2od4rUsreGBb9WOT1uvLNUy5EKXt+RD2V24P8QHBYUXFh7g930x2Flb8N4DQWXyD7JJMRGVHMXe+L1czrlMWn4aztbO+Dj4EFY1jGCPYPQ6mbAr/uP0BjWJprOA+z4r9fOEoijsuLSDuUfmsi9hHwaT4bp9LHQWNPFqwtAGQ+kc0Lnivo67vw8nVsGF7RD1FzR8QOuIxG0oisLu+N3MPjybvfF7MSjXv34B6rjVYXD9wfSr1Q8riwpa56sExKXn8uTP+ygwmOjesCovd6+ndUjmlXIWdnylbvf8SJMk2vGU48w6PIv10etveP4FCHQO5P6a9/NY/cdwsXEp9RhLRdNRsH8exB1UGw/0m651RGVWTU9HZgwNY/isPfx18BL1vZ0Y27m2JrGcTz/Pj4d/ZOPFjWQW3LjGqLutOw/VeYghDYbIRQ3xD5MRVk9Qt5uNqtBJtDtRqWek/fHHHzg4ONClSxf27t1LZmYm7u7uBAUFsW3bNgAaNGiAyWTixIkTAHTq1IkDBw6QlpaGi4sLTZo0YfPmzQDUrVsXS0tLjh07BkC7du2IiooiOTkZR0dHWrVqxfr16wGoVasW9vb2HD58GK40UDh9+jQJCQnY2dnRvn171q5dC0D16tVxdXXlwIEDALRs2ZLo6Gji4uKwtramS5curF27FpPJhL+/P56enuzfvx+AZs2aER8fT0xMDBYWFnTv3p0NGzZQWFhItWrV8PPzY88etWBoaGgoqampXLhwAYBevXqxefNm8vLyqFq1KjVr1iQ8PByAkJAQsrKyOHtWXU7QrVs3vlnwN7FJaRRY2jM5+BK7Dp8BIKhRKAUBHTh16hQAXbp0ISIigoyMDNzc3GjUqBFbt24FoH599Wrq8eNqE4AOHTpw+PBhUlNTcXZ2plmzZmzcuBGAOnXqYG1tzdGjR4ue7+PHj5OUlISDgwOtW7cuer5r1qyJo6Mjhw6py4Bat27N2bNnuXz5Mra2tnSyjWL1HnXMQP8A3FoPKXq+W7RoQUxMDJcuXcLKyoquXbuybt06jEYjfn5+eHt7ExERAUBYWBiJiYlcvHgRvV5Pjx492LhxIwUFBfj4+BAQEMDu3buLnu+0tDTOnz8PQI8ePdi2bRu5ubl4eXlRu3Ztdu7cCUCjRo3IycnhzJkzRc/3rl27yMrKokqVKjRo0IDt27cD0LBhQwwGAydPnix6zUZGRpKeno6rqyuhoaFFr9l69eqh1+uJiooCoH379hw9epSUlBScnJxo3rx50fNdu3ZtbG1tOXJETZa2bduWkydPkpiYiL29Pe3atWPt2rXEZ+Sx5FQBqYWWPFrLRC1P9bV//vx54uPjsbGxoXPnzqxZswZFUQgICMDDw+Oa12xcXByxsbFYWlrSrVs31q9fj8FgwNfXFx8fn2ue76SkJKKjo9HpdPTs2ZNNmzaRn5+Pt7c31atXZ9euXQA0btyYhJQEdh/bTWxmLEv1S+lo6Ig99iToEjhucZwOhg4ARNtF0967Pf4F/ljqLOUcUULniPDwcLKzs/Hw8KB+/fpFr9mgoCAKCgrK9jmifVtW//AuFGQR6OOFW/sxpXqOSMtPY7nFcjzjPbHDjsu6yyTYJdDZ1BmdTke8czwZmRm45ajLutZYruE+i/sIcQmhpk/NMnWOAKhRowbOzs4cPHgQ4O7OEQc3Y5kcRTdlO+sbfobBpNzzOSIjI4Nz584VnZO3b99OTk4Onp6e1K1blx07dgAQHBxMXl4ep0+fLnrNyjni5ueIxMxE9mXvY3vudtoZ2wFwwf4C9Rzr4ZrlioLCDocd+CT64IADSbokEhwTeMjqIaraVy0f54hOnVi9ejUAgYGBuLm5me0cEb5rNxHnU1gbb0uQhyUP1LLCQq+rMO8jbniOSP6D83GJxLs2w6ZWu1J9H7F5+2ZOpZ1ifeF6XBQXappqYqO3IaN6BgHJAegKdSTqE9lZsJOWBWrjs9M2p7nP/z588nzQoat45wglif0bl6jPd5f+xOMh7yNucY64lGlk8j54uGoyjf1daRpUx6zniH+/j4hJiGH7ke1czrnMSsuVdDZ0xknnhJWzFQZ3A1UuVyHPkMdOZSfWRmtqm2pjobPAI8SDpnlNycnOKR/niDLyWaNCvo9Iv0j1C4tw1edyoMEEsLCq0J81fH19CQkJue2MtEqdSJOlnSXn2KUM+nyzDZMCq7qn0WDbs+oPur37T5e1sm7XjH+y7Z0mQqcJWkdUbv26+wJv/Kn+EZzQuz5Pd9S2jomiKCw7s4zP9n5GRoHaPcne0p6WPi2p4VIDVxtX0vPTuZBxgfC4cLILswFwsnZiXOg4BtcfXCZn1olStHum2inOvgo8tx/sXEtlWKPJyIyDM/j+0PcoKNha2PJwvYcZVG8QAU4B170uYzJjWHJqCQuPLySzMBMdOoY0GMJLTV/C2kLD2pTmkJ8F3zaDzLjy9bemEjEpJn46+hNfR36NwWTAxsKGAXUGMLTBUPyd/K97/abmpbLi7ArmHJlDYm4iAL2r9+at1m/hZC31CLny9+z5hQf46+Al3B2sWTa2Lf7u9lqHZV5nt8C8B9TZwM/sBK/SW8K66twq3gt/j+zCbPQ6PT0DezIqeBT13etf9/rNKcxhQ/QG5hydw6lU9cNaqGcon3X8DG8H71KLudQsG6uWR/FrDmPWyWqO25j052Hm747GycaSpePaUsvT/GUYwi+FM3HbRJLzkgHo5NeJUcGjCPEMwVJ/7cK0QmMhW2K2MPvIbA4nqYmVum51mdJ+CnXd6po9VlFG5WXAN2GQnQg9p0DrZ7WOyOyKmyuSRJok0u6Zoig8MjOcvedTebJOJpPiX4LCHGj+hCbLn+5J+DRYM0ndlg9m9+S7LWf4eJV6te+DfsEMbRWoSRyZBZm8H/4+q86vAqCGSw2eDHmSHoE9bphYKDAWsPHiRr478B1n0tUr92192/JB2w/wsPMo9fhFGZCTAl83gbw0uP+LUiuwmpybzGtbX2NPvHqVbkCdATzX5LlivQ4zCjL4X8T/WHJKnTEQ5hXGV52/wtW2dBKApebgQvjzKbB2VBOcTlW1jkhckVOYw8tbXmZ7rHo1uHtgdya1nFSs12+eIY95x+Yx/cB0jIoRP0c/pnWbRk2XmqUQedk2bdNpPltzAku9jl8eb0mrmhV8+ZXJCDM7wOUj0OJJ9X1lKTCYDHy4+0P+OPkHXDmHTm47mUDn27+XMZqMRRfvsgqzcLFx4avOX9G0agVbDpUZD1+HQWE2DJwNwQ9pHVGZVmAwMeTHXew9n0pNTweWjm2Ls615lq8risLMQzOZfmA6Cgq1XWvzftv3CfYILtZ9N17cyOTwyaTkpWCtt+bTDp/SNbCrWWIVZdz6d2H7l+BeS+2UrGXDwFIiibRbkERayVoaGcuLiw7gY5XNNtd3scyMhVpd4LHfwaIcluHb8RWse1vd7v89NB6kdUTl1mdrjjNt0xl0Opg6KJQHQ31LdfzojGieXPcksVmxWOgsGBs6ltHBo7EoRrt2o8nIwhML+XLfl+Qb8/Fx8OG7bt9R01U+yFU6q15XO0R6Bakdf0vhvJacm8yYNWM4k34GO0s73m79Nn1q9rnj42yN2crrW18nqzCLQOdAfuj+Az6OPmaJWRMmE8zqBrH7oMkwtamN0FxmQSZjN4wlMiESWwtbJrSYwIA6A+54Zu+BhAO8vvV1LmVfwt3WnR96/FCpZ0asPRrPkz/vA+Cj/o14rGWA1iGZX8RsWPES2LrC85Fg7272IQtNhUzYOoG1F9aiQ8cTIU/wTONnrpvBczsXMy7yytZXOJZ8DFsLW77s/CXtfNuZLW5NbPkUNn0ILgEwbq/aWVncVGJmPg98u5249Dy61vfih+HNSrwxl6IofB7xOfOOzQPg4boP81rz17C1vLPfTVJuEm/teIvtsdvR6/S81+Y9+tXuV6KxijIu9QJ82xyM+fDoAqh/n9YRlYri5ooqaBViUVoy8wr58O8o9JhY5DFLTaK514KBc8pnEg2g7QtqW3WuTFs/u1nriMqtV3rUY0TrQBQFxv92kHXHLpfa2OfTzzNq9Shis2LxdfTlp94/8UTIE8VKogFY6C0Y0mAIi/osItA5kLjsOIavHs7BxINmj12UIcln1A5lAD0/LJXzWkpeCo+vfZwz6Wfwsvdi4f0L7yqJBtDBrwPzes+jmkM1LmRc4Il1T5CUm1TiMWtGr4deH6vbkb+oxa+FptLz03li7RNEJkTiZOXEDz1+4KG6D93V8vhQr1AW9llIfff6pOSlMHrNaI4lHzNL3GXdifhMXlqk1lMa3jqwciTR8jNh00fqdqcJpZZEe33r66y9sBZLvSVTO0/luSbP3XESDcDf2Z+fev1EB78O5BnzeG7jc2y5uMUscWum9Thwqgbp0bB7htbRlHmeTjbMHNYUG0s9G44n8MW6kyV6fEVR+Gj3R0VJtIktJvJ267fvOIkG4GHnwTddvqF/7f6YFBNv7XiLhccXlmi8ooxb/46aRKvRAer11jqaMkcSaeKefL3hFImZ+bzptJKA1F1gaQeDfi61+kFm022yOkXdVAgLh0L8Ya0jKpd0Oh3v9A1iQJgvRpPC2Pn72XHa/B/iz6afZdSaUSTkJlDbtTa/3PcLjT0b39WxarnWYl7veTTyaER6fjrPrHuGEyknSjxmUUZtmAwmA9TuDrU6m324jIIMHl/7OKfTTuNl58XsnrPveRZkHbc6/NT7p3+SaWufID0/vcRi1px/C2j0MKDA6olQ+SbalxmFxkLGbx7P0eSjuNm4MavnLEK9Qu/pmG62bvzY48d/zsHrnyE2K7bEYi4P0nMLeernCLILjLSpVYW3+jTUOqTSsfNbtS6Pe01o/rjZh1MUhTe2v8G6C+uw0lsxtdNUugR0uadj2lraMrXTVHpV74XBZOCVLa9wKPFQicWsOWt76PaOur3tC8hK1DqiMi/Ez5WPH2oEwLebTvP34bgSO/aMgzNYeGIhOnS82/pdHmvw2D0dz1JvyXtt3mNEwxEAfLT7IzZGbyyhaEWZFr0Ljv4J6NROyeWpVFMpkUSauGunLmcyZ8d5mumOM8qwSL2xz5dQNUjr0O6dXg/9ZkBgOyjIhPmDICtB66jKJb1ex6cPhdAzqCoFBhNPzIvg4MU0s42XkJPAE2vUWTd13eoyq+ese65t5m7rzo89fqSJVxMyCzN5at1TXMy4WGIxizLq4l44thR0eug+2ezDGU1GXt/6OqdST+Fp58msnrOKVY+nOLwdvPmx54942XlxOu00r255FYPJUCLHLhO6vateyLmwA46v0DqaSklRFN7f9T574vdgb2nPDz1+oEGVBiVybBcbF77v/n3RzLRxG8aRVZBVIscu60wmhRcXRnI+OQdfVzu+fSwMK4tK8PY9Mx52fqNud30HLMxTS+rfZh2Zxapzq4pmonX071gix7WysOKj9h/R1rctecY8xm0YV7HeQzR6BHxCIT8DNk/ROppyoX8TPx5vVwOAl387SFRcxj0f8++zfzPjoDor8O3Wb/NQ3ZKpWafT6Xi52csMrDsQBYUJ2yZwNOloiRxblFEmk3phEiBsGHg30jqiMqkS/CUW5qAoCpNXHMPWlM0Mhx/QKSZoPBhCB2sdWsmxtIFHf4UqdSAjFn4bDoYCraMqlywt9Hw9uAnt63iQU2Bk9Ny9nE/KLvFx8o35vLTpJRJyE6jlUotZPWbhblsyS0Hsrez5tuu31HWrS3JeMmM3jq00H+QqJUWBdW+p26GPQVXzzwCZfnA622O3Y2Nhw7Su06juUr1Ej+/v5M/0btOxs7QjPC6cL/Z9UaLH15SLH7Qeq25vmAzGCpQkLCd+OvoTf57+E71Oz2cdP6Oee70SPb6jtSPfdPkGTztPTqed5vVtr2M0GUt0jLJo6vqTbDqRiI2lnpnDmuLuUPELPQOw+WO1iL1vM2j4oNmH2xqzla/3fw3ApJaT6ODXoUSPb6W34ouOXxBUJYjU/FRe2vwSeYa8Eh1DM3q9WvoAYN8cSDiudUTlwoTe9Wlfx4PcQiNP/hxBavbdf8Y4lHiIt3ao71lGBo1kYN2BJRipmkx7o+UbtK3WllxDLmM3jK1YZSLEtY4shkv71UZOnd/UOpoySxJp4q5sPZXEtlNJvGP9C56GOLXIaO9PtA6r5Nm5wuAFYOMM0eGwZqLWEZVbNpYWzBjalGBfZ5KzCxgxZw9JWfkldnxFUfhg1wccSjqEk7UTX3f5usQ7FDpbO/Ndt+/wsvfiXPo53tzxJpWwX0vlcOJv9f+8pR10fsPsw22I3sD3h74H4J3W75TYTJ7/qudejw/bqR94fj72M2vOrzHLOJpo+zzYuUPSSTjwq9bRVCoHEg4wdf9UAF5r/lqJJyGu8nbw5usuX2NjYcPWmK3MPjLbLOOUFWuOxvP1xtMATBnQiGBfF61DKh2JJ2G/WuOJHu+bfUnRhYwLTNg6AQWFh+s+zMN1HzbLOPZW9nzV+Svcbd05kXqCj3Z/ZJZxNFG9HdTvA4rpn4tQ4pYsLfR8M7gJAe72XEzJZez8/RiMpjs+TkZBBq9seYUCUwGd/DvxYtiL5olXb8nnHT+ntmttkvOSmbhtIiblzuMVZZyhADZ9oG63e1G6od+CJNLEHTOaFKb8HUUP/V4e1m9W1073/w5sK+gbPI86MOAH9XHu/RH2/aR1ROWWo40ls0c2x9/djgvJOYyeu5fs/JKZOfLbid9Yenopep2ezzt8ToCzeQoxe9p78mWnL7HSW7EhekOF/yBXKRkLYd2Vmi+tx4JzNbMOF58dz1vb1Q8eQxsMpW+tvmYdr3tgdx5vpNYbei/8PeKySq4+i6ZsXaDDq+r25ilQkKN1RJVCZkEmE7ZNwKgY6V2jN4/Vv7eaPLcT7BHMW63U/y/TD0znSNIRs46nldMJWbz8m9o8Y1Tb6gwI89M6pNKz4T1QjFDvPghsY9ahDCYDE7ZOILMwkyZeTZjYwrwXTKs6VOWTDp+g1+n58/Sf/HXmL7OOV6q6Twa9JZxaC+d3aB1NueBqb80Pw5thb23BzjPJTFl1Z7P5FEXh/fD3icuOw9/Jn4/bf1zsplp3w9Hakf91/B92lnbsitvFnCNzzDaW0Mi+uZB6HhyrQqtntY6mTJNEmrhjS/bHcCk+jo+sryQQ2j4P1dtqHZZ51ev1z6yUv1+BSwe0jqjc8nKyZd7olrg7WHMoJp1nft1P4V1cgfu3c+nn+CziMwBeDHuRNr7mfeMd4hnCxJbqm+1vI7+ttF3kKqz98yD5FNhXUbv4mpGiKLyz8x0yCzMJ8QhhfLPxZh3vqmdDn6WRRyMyCzKZuH1ixVki13yMOkM6Mw72zNQ6mkrhw90fFnVHfqvVW3fVnfNOPVDrAXpW74lBMTBh2wRyCitW0jQzr5Anf44gK99AyxruTLrPPDNUy6QL4WqdQ51erX1oZnOOzOFI8hGcrJ34rMNnWJVCLbZWPq14pvEzAEzZPYX47Hizj1kqqtSCsOHq9ob3pPFLMdXzduKLR9SGWLO2n2Pxvphi33fF2RWsPr8aC50FH7f/GAcrBzNGqqrpWpMJLSbAlffAFap5RmWXnwVbP1W3O74O1uZ/PZVnkkgTdyS3wMj/1p5kguVCPEhX64eVwrKnMqH9y1DvfjAWwB+j1bbs4q7U8HBg1ohm2FlZsPVkIhMWH77rJZIGk4E3d7xJvjGfVj6tGBk0ssTjvZGBdQbSPbA7BsXApG2TKk6tk8ouP0utzQPQcQLYOpt1uMWnFrPz0k5sLGz4oN0HWOnN/yGOK/V6Pm7/MfaW9uy7vI+FJypIS3tLG+hypZ7Hti8hJ0XriCq0tefXsvLsSvQ6PR+3/xgna6dSGVen0/FWq7eoal+VCxkX+Dzi81IZtzSYTArjfzvI2cRsfFxsmTakkjQX4D+1KcOGg2fJ1tn7rxMpJ5h+cDoAE1tMpKpD6S1herzR4+rFjMJM3t35bsUpE9HhNbUkwsXdcHK11tGUG72CfXi+S20AJv15mKOXbt9ZOz47ng93q6Uanmn8DCGeIWaP86r+tfsXXcx4e8fbFBoLS21sYUbh0/7plHw1KS5uqpL8ZRYlZc7Oc/hnHuAxyyutj/t+pX5wqQz0enjwW3D2hZQz8PdrWkdUrjUJcGPakCZY6HUs3h/D52tP3NVx5h6dy6HEQzhaOTK5zeRSmQ3Bvz7Iedh5cCb9DN9EflMq4woz2z0DshPUNxHNRpl1qEtZl/hsrzqT8rkmz1HDpYZZx/uvAOcAXm72MgBf7f+KS1mXSnV8s2n0MFQNhvx02F6BGiqUMZkFmXy8R006jwkeQ6hXaKmO72Ljwkft1BpTv5/8nQMJFWOm+LebTrPu2GWsLfV8N7QpHo6V5D0WQNRyiNkLVvbQybxLLAuNhbyx/Q0MJgNd/LvQp2Yfs473X5Z6Sz5o+wHWemt2XNrB0tNLS3V8s3H2gVZPq9sbJkNFme1cCl7sVpfO9TzJN5h45pf9pOfcOjk1ZfcUsguzaezZuKhcQ2nR6XS82fJN3G3dOZN+hllHZpXq+MIMspP+6ZTc5c1S6ZRc3kkiTRRbRl4hszef4COrKyfLsOEVf0nnf9m7w0M/qksODs6HQ79pHVG51qV+VT7qHwzAtE1n+Dn8/B3d/3TqaaYdmAbA6y1ex8fRxyxx3oybrRvvtXkPgF+ifpElnuVdbirsuPImovMbZn8T8cGuD8gx5NDEqwlDGww161g3M7DuQMK8wsg15PL+rvcrxqwI/b+WhO3+HtIuah1RhfT1/q9JzE0kwCmApxo/pUkMLXxa0L92f7hS76/QVL5nRWw6nsCX608C8EG/YBr7l2zDnDLNZISNVwpctx4HTt5mHe6XqF84kXoCVxtX3mpdOkuS/6uma03GNRkHwBf7viAtL63UYzCLti+oNSsTjsHh37WOptzQ63V8OSgUPzc7olNyGP/bAUymG/9N3hi9kY0XN2Kps+Sd1u+YtS7azbjauvJ689cB+P7Q95xLP1fqMYgStO1/UJAJPo2hYX+toykXJJEmiu3Hbed4pHApdfSxKA5ealHRyiiwjbpuHGDFS5B8RuuIyrVBzQN4qVtdAN5ZfpQNUZeLdT9FUfhw94cYTAY6+nXkwVoPmjnSG+vg14He1XtjUkxMDp9ccWpNVUY7vlZnMXkFQdAAsw61NWYr22K3Yam35L0272nyJhhAr9PzTpt3sNJbsT12O+surNMkjhJXuxtUbw/GfLXxgChRhxMPs+jEIgDeav0WNhbazZoa33Q8rjaunE47zS/HftEsjnt1MSWHFxZGoigwtFUAjzTz1zqk0nXoN7Xjrp0btHnOrEMl5CTw3cHvAHi52ct42HmYdbxbGdpwKLVda5OWn1bU+bbcs3ODdi+p25s+VLsAimJxtbfmu6FNsbbUs+F4AjO2XP8ZI6cwhyl71L9rw4OGU8etjgaRqnrX6E1b37YUmgqZHD65YlyMq4zSotWGeqBeiNRLiqg45FkSxZKSXcCK7fsYa7kMAF3PD9U/lJVVh1chsC0UZMHiMfIm4R4937U2jzb3x6TAcwsiOXYp47b3WXNhDRGXI7CxsGFSy0maXE2+6rUWr+Fk5cTR5KMVp9ZUZZN5GXarH6zo8qZZ30QUGAv4ZM8nAAxrMKzUl3T+V02XmowOHg1XZkVUiHp/Oh10U2eLcmA+JNxZJzRxcybFxAe7P0BBoW/NvrTyaaVpPK62rkVLlGccnFEuC7fnFRp55td9ZOQZCPV35e0+QVqHVLoMBf8kvNu+aPbalF/u+5IcQw4hniE8UOsBs451O1Z6q6IutItPLa44hdtbPAWO3uoH9H1ztY6mXAn2deH9B9VzwP/WnmD7qaRrfj7z0Ezis+PxdfTl6cZPaxSl6mqZE1sLWyIuR1Sci3GVzaaP1BrgNTpAzc5aR1NuSCJNFMvMLWcYa/oFB10+il8LtQZNZaa3gAHfg60rXIqEje9rHVG5ptPpeL9fMG1qVSGnwMiYn/ZyOePmH+ZzCnP4fK9aXHpM8BiqOVYrxWiv52HnwQthanfHaZHTSM1L1TQecRe2fwGFOeDbDOr1NutQPx/7mejMaDzsPHgy5EmzjlVco4NHU9W+KrFZscw7Nk/rcEqGX1Oo3wdQZFZaCVp5diXHko/hYOVQlMDS2oO1Hixaolwe61W+99cxjsRm4GZvxbQhYVhbVrK35wd+gbQL4OAFLcx7ToxMiGTF2RXo0DGxxUT0Ou2f67CqYUUJvU/3floxZvVY20OnK6s3tn6qNvIRxTaoeQCDmqkXmJ9fGMmltFwAYrNii2beTmgxATtLO40jBV9HX0YFqzVlv9j3BfnGfK1DEnciIQoOXpkE0O1d9UKkKBbt/3qIMi8hM4/I8HU8ZLEdAF3vj+U/GYCLH/RTuz2x8xuI3q11ROWalYWeGUOaUsvTgbj0PB7/KYKcAsMN9/3x8I9czrlMNYdqRX+8tTaw7kDqu9cnszCTGQdnaB2OuBNpFyFitrrd9S2znt8SchKYeWgmAC81fQlHa0ezjXUn7K3sGd90PFz9/5VdvCXWZV7nSYAOji2F+MNaR1Pu5Rny+Gr/V3Cl62AVuypahwRXLsa82vxVAP468xdRyVFah1Rsi/fFsGBPNDodfPVoE3xdtf9gXKoK82CL2nSFDq+oCRgzMSkmpuxWk+r96/Qn2CPYbGPdqRfCXsDO0o6DiQcrzqyeJsPUxj3Zif/M+BbF9t6DQQT7OpOSXcAzv+4n32Dk6/1fU2AqoKV3Szr6ddQ6xCIjg0biZedFbFYsv0b9qnU44k5snqJecGzwAPg21TqackUSaeK2fthymom6nwBQQh+77j9ZbFYsX+//mhGrRtB+YXuazGtCm/lt6L+sPx/u+pCtMVsxKSaNojez+vdD6BD1BLTsWSjM1Tqics3F3orZI5vj7mDN4dh0Xlx4faHVS1mX+Omo+np8tfmr2FraahTttSz0FrzaTP0g99uJ3zibdlbrkERxbfnkX1PaO5l1qJkHZ5JryCXEI6TUu8TdTu8avQn1DCXXkMt3hyrIh56qQRB0pWjuJpmVdq9+PvYzl3Mu4+Pgo1mDjJsJ9gimd43eKCj8L+J/5WJWz/H4DN5YqiZ4X+hahw51PbUOqfRFzIbMS+DsB01HmnWotefXEpUShaOVI883ed6sY90pL3svRgapj//LfV9SaCzfjTMAtWFPp0nq9s5vIC9d64jKFVsrC2YMaYqLnRUHL6bx8tK/+Pvc3+jQ8XKzlzUtafJf9lb2PB+m/p/6/tD3JOcmax2SKI74w3BsmXrB0cydkisiSaSJW0rOyidlzyKa6E9jsHRA1/Wdop8dTT7Kcxueo/fi3vxw+Af2J+wnLT8Ng2IgszCT02mnWXhiIWM3jKXfsn4sO72sXLyxvWM9P1TrQCSfVteYi3sSWMWB74c1xdpCz9pjl/lk9bW1jb47+B0FpgKaezena0BXzeK8kRY+Lejs3xmjYuSLfV9oHY4ojqTTag0tgC5vm3WoixkXWXJqCVyZjVYWlhT9m06n46WmaoHoP0/9yfn0O+uiW2Z1mqh2Wj6xEmL3ax1NuZWcm8ysI2rX7ufDni8zFzH+7YWwF7DSW7E7fjfbYrdpHc4tZeQV8swv+8krNNGhrifPd9GuYLhm8rPUZfUAHV8DS/M1rSg0FfLtgW8BGBE0oszMpvy3kUEj8bTzJCYrht9OVpCu8MEDwKMe5KXBrgpygaYU+bvbM3VQKDqdwoYEdeZ831p9aVClgdahXadvrb40cG9AdmE2Px7+UetwRHFs/lj9N3gAVG2odTTlTtl6Fy/KnNlbT/I86rppi3YvgJM3RpORmQdnMmTlEDbHbEZBoZVPKz5o+wG/9fmNdQPXsbzfcr7s9CWD6g3CycqJc+nneHPHmzyx9gliMmO0flgly84N+l7ptBT+LcREaB1RudesujufPRwCwMytZ1mwJxqAc+nnWHZGbXjxQtgLZepq3FXjm47HQmfBlpgtHEg4oHU44na2fAyKEer2Bv/mZh1q+sHpGBQDbau1pZl3M7OOdbfCqobR0a8jRsVY9KGz3POsC40eUbflYsddm3NkDtmF2TSs0pD7atyndTg35Ovoy5AGQwD4ev/XZXY2vKIovPb7Ic4lZVPNxZapg0LR68ve3zOz2zNTXfbnVgNCHzPrUMtPL+dCxgXcbd0Z1nCYWce6W/ZW9jwT+gwAPxz6gZzCHK1Dund6C+g0Qd0Onwa5UkP2TnWu78WANjlYOpxDMVnS27dslDT5L71Oz4tNX4QrKzPKY+OXSuVSJBxfoV5o7DhB62jKJUmkiZtKyymgYNcsAvUJ5Nt6omszjoScBEavGc23B77FqBjpEdiD5f2W80OPH3iw9oM0qNIAbwdvarjUoFtgN95s9SZrB67lxbAXsbWwZXf8bh5a/hDbYsr2leI7Vq83hAwCxQRLn1Vrfoh78mCoLy92U6/Qv7X0CNtPJTHtwDRMiolO/p1o7NlY6xBvqLpLdfrV7gfAV/u/qpizMCuKxJNw+A91u7N5p7SfTj3NyrMrAXgu7DmzjnWvnmvyHDp0rDm/hmPJx7QOp2R0fA10FnB6HVzco3U05U5SbhKLTiwCYFzouDI3m/LfxgSPwcHKgROpJ9gUvUnrcG7ox23nWH00HisLHdOHNsXdwVrrkEpfbhrsUOvt0XmSugzQTPKN+UW1Sx9v9DgOVg5mG+te9avdDz9HP5LzkitOF/CG/cCrIeSnQ/h0raMpdxRFIU6/FIDC1Ja8+cdF0nPL5tLf1j6tCfMKo8BUILPSyrqrs9EaPaxecBR3rOy+ExKam7f1OE/o/gTAuutELhdmMXrNaPYn7MfByoGP2n3E5x0/p4ZLjVsex9HakTGNxrDkgSWEeYWRY8hh3MZxLDq+qJQeSSnp9bHacSrphFpzSdyzF7rW4cHQahhMCs/8vpw159egQ8e40HFah3ZLT4U8hZXeiojLEYTHhWsdjriZrZ+p9Q3r3Q8+5k3MfnvgWxQUugd2J6hKkFnHulf13OvRu4bauXTmwZlah1MyqtT6Z8bLxg+0jqbcmXV4FnnGPEI8Qmjn207rcG7J1daVx+qrv+vpB6eXuVlpe86l8PGVkgVv9WlIqL+r1iFpY9d0tWaWZ30IfsisQy06vojLOZfxdvDmkXqPmHWse2Wlt+Lpxk/DlVmgWQUVoNulXv9P/aVdMyAnReuIypXtsds5nHQYGwsb3A29OJ+cwyu/HyyTF2p1Oh3jmqjv0RefWkxsVqzWIYkbidkHJ1erFxg7vq51NOWWJNLEDWXlG8jf9QNeujRy7H25XK8Ho9eM5kLGBao5VOO3Pr/Rt1bfO1pa5+/sz489fqRf7X6YFBMf7P6gYnV2sXeHPl+q2zumSi2eEqDT6fjkoRCaBbphcF4FQFf/ntRzr6d1aLfk4+jDoHqDAJgWOa1Mvtmp9JJOw5Ers9E6vmbWoY6nHGdD9Ab0On2ZTwJf9VTIU+jQsfHiRk6knNA6nJLR8TXQW8G5LXB+u9bRlBuJOYn8fvJ3AMaGji2TS+r/a0TQCBytHDmZepIN0Ru0DqdIQmYe4+bvx2hSeKBxNYa1CtQ6JG3k/qteVqeJ6vI/M8k35jPn6BwAng55GhsL89VhKyn317yf6s7VSctPY8HxBVqHUzLq9wHvRlCQqTYeEMWiKArTDkwD4NF6j/Ld4E5YW+hZd+wyM7eWzaZWzb2b08qnFQaToeJcjKtoNl8pc9F4sHqhUdwVSaSJG/pj53FGKeo04uxOzzN6/VNEZ0bj6+jLnF5zCHAOuKvjWllYMbnNZJ4MeRKAj/d8zOKTi0s0dk016KNeWVVM8NcLYDRoHVG5Z2tlwSt9HbB0Oo6i6Dh/pi2FxrI1w+BGxjQag42FDYeSDrErbpfW4Yj/2vqZ+v+0bm+oFmrWoWYdVgu09wzsSU3XmmYdq6TUdK1Jr+q94EqDjwrBNQDChqvbGz8ESXAXy+wjs8k35hPqGUrraq21DqdYXGxcimqlTT9QNmalGYwmnl8QSUJmPrW9HJkyoFG5SEqaxe7v1GV+Xg2hwQNmHWrpqaUk5Sbh7eDNA7XMO1ZJsdRbFr1P/iXqF/IMFaBciF7/TwfP3TMhO0nriMqFrTFbOZp8FDtLO0YFj6KxvyvvPKAWhf9szQkizpfN2X1XZ6X9deYv4rLitA5H/Fv0bji9HvSW0OEVraMp1ySRJq5TaDSRs30GHroMku39eSVpJxczL6pJtJ5zqOZY7Z6Or9OpS/NGNBwBwHvh71Wsmmm9PgFbF4g/BBGztI6mQvj99Dx1IyuUyDNWvL+i7Ndt8rDzYGDdgQDMPCRX5MqU5DNw+EpHNDPPRjuffp4159fAleRqefJkyJPo0LE+ej2nUk9pHU7J6PAKWNhA9E44X4H+7phJSl4Kf5xUZ24+E/pMuUr8DGs4DEcrR06nnWbzxc1ah8P/1p1k19kUHKwt+G5oUxxsLLUOSRt56eqyTq7OEjXfR5FCU2HRbLRRQaOwMmMdtpLWq0YvfBx8SMlLYfmZ5VqHUzLq9QafUCjM/qc+nrilq52SB9UbVNRp9rEWATwYWg2jSWHc/EhSsgs0jvJ6jT0b09K7JQbFwE/HftI6HPFvV2ejhQ4B91uXZxK3Jok0cZ21+08x2KDORvumQRj7EyNxsnJierfp+Dj6lMgYOp2Ol5u9TP/a/VFQeH3r65xLP1cix9acoyd0fUfd3vgBZErXmntxLv0c6y6sA+DVlmo3q3nhF4o6eZZlI4NGYqW3Yt/lfUTESzfXMmPb/9TZaHV6gG+YWYeac3QOCgod/TqW+SXJ/1XbrTbdArsBMO/YPK3DKRnO1f6ZlbblU62jKfMWHF9AnjGPhlUa0tqnfMxGu8rFxqWoHtbsI7M1XWK/IeoyMzafAeCTgSHU9nLULBbN7Z75T220Bg+adajV51YTmxWLu607A+oMMOtYJc1Kb8Xwhuq5au7RuRhNRq1Dunc6HXR+Q93e84PMSruN/Zf3E5kQec1rgSufoT7s34iaHg7EZ+Qx/rcDmExlb4b11YuHi08uJiWvbM6cq3Sid8HZzWqZC5mNds8kkSauoSgKiRu+xU2XxRLXABanRKJDxycdPqGmS8kuSdLpdLzV6i2aeDUhszCT5zc+T3ZhdomOoZmmI8G3KeRnwJo3tI6mXJt9ZDYKCp38OzGieWte7q52lnl72RH2ltEp7Vd5O3gXdfCU7kVlRMpZOHilE5qZ233HZ8cXzSR4vNHjZh3LXEYEqTOHV5xdQWJOotbhlIx2L6pvIs9vgws7tY6mzMopzGF+1HwARgePLlez0a4a2mAoVnorDiYeZH+CNnVLY9NyGf/bQQBGtqlOn5B7m9VfruVlQLha74kOr5p1NppJMRX93R3ecDi2lrZmG8tcBtQZgIuNCxczL7Iuep3W4ZSMOt2hWhMw5P7zWhA3NPvIbAAeqPUAnvae1/zM0caSaUPCsLHUs/lEIt9tPaNRlDfXyqcVQVWCyDPmVaya2OXZ1s/Uf0MfU8tdiHsiiTRxjV0nYumTu5QECws+q6IWZB3TaAzt/dqbZTwrCyu+6PQFVe2rcj7jPB/v+dgs45Q6vQXc/wXo9GpB8zObtI6oXIrLimPFmRXwr0TEuC61ub+RD4VGhad/3kdsWq7GUd7a6ODR6HV6dlzaUXGWx5Vn2/4HihFqdwO/pmYd6qejP2EwGWju3ZxQL/PWYTOXxp6NaeLVBIPJUHGKXrv4QZOh6rbMSrupxacWk1GQQYBTAN0Cumkdzl3xtPcsqot19UNpaSo0mnhu/n7ScwsJ8XNh0n0NSj2GMmXPTMhLA4+6ENTfrENtit7E2fSzOFk7FTX/KW/sreyLOtDOPqztrMoSo9OpSVSuzErLTdU6ojLpVOoptsRsQYeOUcGjbrhPAx9n3ntA7QL+v7Un2XOubF1c1ul0Re/dFxxfUDE60JZnsfvV2mg6C2j3ktbRVAiSSBPXOLVGrY32rqcPWaZ8gqsE82zos2Yd08POg4/bf4xep2fp6aVF9YTKvWqh0PwJdfvvV8CQr3VE5c68Y/MwKAZaereksWdjuPKH+bOHQ2jo40xydgFPzosgt6DsLnnwc/Kja0BXAH4+9rPW4VRuqedLbTZaRkEGi0+pjVTGBJev2mj/dXVW2qITi8gpzNE6nJLR7iW10O7ZTXBxj9bRlDmFxkJ+OqrWtRkZPBILM3ZVNLeRQSPRoWNrzNZSv5jx+doT7I9Ow8nGkm8Hh2FtWYnfdudn/ms22mtm7dTJv5ajP1rvURyty+9S2sH1B2NrYUtUSlTFaVxUtzd4BakdPHdLDdkbmXNEre3XPbA7gc437+47qLk//Zv4YjQpPLdgP8lZZeuzRpeALtRwqUFmQSZLTi3ROpzKbevn6r8hj0httBJSKn/Rp0+fTo0aNbC1taVp06Zs23bzAr9Lliyhe/fueHp64uzsTOvWrVmz5trEyty5c9HpdNd95eVVgK42Gjoem0yXlIVssLdjm50eS50l77Z5Fyu9+YuzNvNuVvRh873w90jISTD7mKWiyxvgWBWST8OOr7WOplz59x/d/16Ns7e25PvhTaniYM3RSxm8+sfBMn2l9mptixVnV5CUKzVBNLPtf2AyQK0u4N/crEMtObmEXEMutV1r06ZaG7OOZW6d/DoR4BRARkEGf57+U+twSoZbIDR+VN2WWWnXWXthLZdzLlPFtkq56XR4M9VdqhfV+pt7dG6pjbvx+GVmbjkLwKcDQwioYl9qY5dJe75XZx9VqQPB5q1XdjTpKPsT9mOpt+TR+o+adSxzc7N1K6rvpsWsSrPQ66HDy+r2rhnqkl9RJCEngVXnVsGVVQ23otPp+KBfMLU8Hbickc9Lvx0sU/XS9Do9wxoOA2D+8fkVo9ZfeRR/BE6sBHTQbrzW0VQYZk+kLVq0iBdffJE33niDyMhI2rdvT+/evYmOvnGh8K1bt9K9e3f+/vtv9u3bR+fOnenbty+RkZHX7Ofs7ExcXNw1X7a25a/+QVmyb+VsXPTJvF9F7QozKnhUqRbHfib0GYKqBJFZkMmU3VNKbVyzsnWBnle6o2z7XJ0RI4plyakl5BhyqOVS64aJCD83e2YMbYqlXseKQ3FM31z26kNcFeoVSohnCIWmQhadWKR1OJVT6gU4oNZ7MvdsNIPJwPzj6ljDGg4rl7Wl/s1Cb1GUDP752M8V541w+5fVJQ6n16lLHgRcqZV6dfbs4PqDsbGw0Tqke3Z1VuWqc6tK5WJGXHouL1+pizaidSC9G5VMo6ZyKz8Ldn6rbnd4tdRmo/Wu3hsvey+zjlUahgcNx0Jnwa64XRxNPqp1OCWjYT81qZqXJh3u/2Ph8YUYFANhXmEEeQTddn8Hm/+zd97hUdT5H3/NlvTeQ3oIkEAooXdQpCOoCALWO8vZ2+ndeV6x3E/POwv2ct7peSqgYkHpvfcQaggJSUgnpPdk2++PyW5AKUnYmdls5vU8eTIms/P9xAyb73zK+63jvVuH4KbXsO3UOd7f6lj74evjr8fP1Y/CukI25W9SOpzuyfbXxM/9boDg3kpH4zRInkh7/fXXufvuu7nnnntISkpi8eLFREVF8f7771/0/MWLF/O73/2OYcOG0atXL1566SV69erFjz/+eMF5giAQFhZ2wYdK5ympamBY4ae8GeBHuU5DjE8Mvxn4G1lj0Gv0PD/6eXSCjg15G9h4ZqOs60tG8lyIGw/GJlj3Z6Wj6RIYzUabyPVtfW+7ZCJieFwAz88RNxmvrstgw4mzssbZEayJiGUnl9FkVLtnZWfH62I3WvxEiB4h6VIb8jZQXF9MgFsAM+NnSrqWXMxOmG3bCG/Mc5L35oB46D9PPLYK8Kpw+Nxhjpcfx0Xjwrw+85QOxy4MDB5I/6D+GMwGvj71taRrGU1mHl1yiMoGA8kRPvxxZjfXRQPY/zE0Voj/5pLnSrpUSX0J63LXQWshwxmI8IpgWtw0AL444SSi7RqtWMwAMcna4iRmY1dJk7HJ9h7Vkfu3T5g3L8xOBuC1dRnszS6XLMaO4qZzY15v8W+JKnGiAGWZcLx1mmCc6tRpTyRNpLW0tHDw4EGmTJlywdenTJnCrl3tc8oym83U1tYSEBBwwdfr6uqIiYkhMjKSWbNm/aJj7Xyam5upqam54EPlQnav+RKtSwlfe4s6En8Z+RdFqtB9AvpwV/JdAPzf3v9zDmFKQYBpfxeNB9JXQO4OpSNyeDbnb6aovgg/Vz9mxc+67Lm3jojh1hHRWCzw+LI0skprZYuzI0yKnkQPzx5UNlfyU/ZPSofTvajKh0OtDx8Sd6Nx3kZxfp/5TtHNA+Cuc7eNSH16/FOHHqXuEOOfEkcdMlZB8RGlo3EIPk//HICZ8TMJcAu44vldhduSRIOJrzK+wmAySLbO6+tPsT+3Eq9WXTRXXdfVl7MLhvPcGcf9FrQ6SZdbcnIJRouRoaFDSQp0niSm9f5dk7uG8kbHSZJcFf1vBr8YaCiDg/9VOhqHYGX2Sqqaq4jwiuCaqGs69Np5QyO5aXAEZgs8suQQZQ6kl7YwcSE6jY5DpYc4VnZM6XC6F9tfByzQZwaEJSsdjVMhaSKtrKwMk8lEaGjoBV8PDQ2lpKSkXdd47bXXqK+vZ/78+bavJSYm8umnn7JixQqWLFmCm5sbY8aMITPz4iKyL7/8Mr6+vraPqKioq/zJnItmo4keGZ/ylr8fZkFgUvQkhocPVyye3wz4DdHe0ZxrPMdHRz5SLA67EtoPhrTqfK3+AzjLaJREfH5CfJCb13teuyzr/3p9P4bHBVDXbOS+/x2ktkm6h6TOotPouDXpVmhNtJgtZqVD6j7sehvMBogdBzGjJF3qyLkjHDl3BL1G32Wd4i7Fgj4LcNG4cLTsKIfPHVY6HPsQdJ5e0zZVK624rpgNZzYA2N6vnIXJsZMJcQ+hrLGMNblrJFljS0apTWbg73P7ExvkKck6XYq0L6C+FHyjYIC074mNxka+OfUNOFE3mpXkoGSSA5MxmA3Oo1Wp1cO4Vr2mXW+BoXt361ssFlshY2Hiwg6bvFj10hJCvCitbeaJZWkOo5cW7BHM9NjpoHalyUtlLhxplZQZr3aj2RtZzAZ+PpZlsVjapRmzZMkSnnvuOZYtW0ZISJvGwciRI7ntttsYOHAg48aN46uvvqJ37968/fbbF73OM888Q3V1te0jPz/fDj+V87Bj51bcXDLY5OmBBg2PpjyqaDxuOjd+P/z3APwv/X/kVjuJrtg1z4KrL5w9Coc+Vzoah+V4ecdFgl10Gt67dTBhPm5kn6vn6a+POGTHzE29bsJT70l2dTY7C3cqHU73oO4cpIp6OXJsIpacXALA9LjpBLkHSb6enAS6BzIjfga0Ong6DeOfFj+n/wilJ5WORlGWZizFZDExPGy4rBqpcqDX6LklUUzkfJH+hd3/RpRUN/Fkqy7abSOjmTWgh12v3yUxGWDnm+Lx6EfFxImErMpeRU1LDZFekUyInCDpWkqwMGkhtL7/Gs1GpcOxDwMXgk8E1BaLSdduzN6SvWRVZeGh87AZTHQUDxcd7906GDe9hu2ZZby7OcvucXaWW/uKxZn1Z9ZT0VShdDjdgx1vgMUEPSdBxBClo3E6JE2kBQUFodVqf9F9Vlpa+osutZ+zbNky7r77br766iuuu+66y56r0WgYNmzYJTvSXF1d8fHxueBDpQ3j7vdZ7O8HwJyEOcT7xSsdEuMjxzM2YixGs5FXD7yqdDj2wTMQJooJQja9qLoUXYKlJ5cCMCVmSodEgoO8XHnvtsHotQJrjpfwQatbmiPh5eLF3F6iPoxakZOJve+DsRF6DIY4aR+sKpoqWJsrukwvSlwk6VpKYe2yW5u7lsqmSqXDsQ8hSZDYOkK+c7HS0ShGi6mF7zLFTpdFSc55/97c+2ZcNC4cLz9u1/Eio8nMo0sPUVHfQt9wH/40s6/drt2lObYcqvLAMxgGS9shZrFYWJoh7h9u6XNLh7t5ugJTY6fi7+pPSX0JW/O3Kh2OfdC5wpjHxOMdi8Xkazdl2UmxQHV9z+vxdvHu9HV6h3rz4hxxhO+NDafY4yB6af0C+9m6Kr/P+l7pcJyf6sI2WRNrwVDFrkiaSHNxcWHIkCGsX7/+gq+vX7+e0aN/6cJnZcmSJdx11118+eWXzJx5ZaFmi8VCWloa4eHd3BWpExw7dRoXdnHA3Q0XQceDgx5UOiQbTw97Gp2gY2vBVnYX7VY6HPsw7F4ITID6c6q49UWobq62WX4vTFzY4dcPjvbnr9eL5gP/XHuSnVnSu7N1lEVJixAQ2F28mzM1Z5QOx7lpqoZ9H4vH434r6hVKyLeZ32IwG0gOTG6X01ZXJDkomb6BfZ1rvAja7OCPfi0++HdDNuZtpLK5khCPEKfs5gEIcAtgSqyo22tP04E3N2ayL6cCTxct7946GDe98yVxOozZLHZDAIx8APTuki53+NxhTlacxFXryg0JN0i6llK4al1tnUpLMpYoHY79GHwHeIZAdV7bGFo3o6S+hM35m6FVRuFqmTc0irmDIzFb4PGlaVTWt9ghyqtnfh9RqunrjK9ViROp2fWWKGsSM1ZyWZPuiuSjnU8++SQff/wx//nPf0hPT+eJJ54gLy+P+++/H1rHLu+44w7b+UuWLOGOO+7gtddeY+TIkZSUlFBSUkJ1dbXtnOeff561a9eSnZ1NWload999N2lpabZrqrSf3PXv8m6AaDCwMGkRYZ6O434a7xtve8N9M/VNhxzV6zA6F5j6kni8530odyyLaqX5IesHmk3N9PbvzcDggZ26xq0jorl5SKRNbLWwqtHucV4NEV4RjI0YC2DTclGRiP3/huZqCE4URVYlxGQ28XWG+GBuHR9zVqybfKfaCEcOEd2VzUbRQa4bYk0s3dTrJnQaaQXhlcTqHrcmdw21LVdvTrM98xzvtI5PvXRTf+JUXTSRjFVw7iS4+sCweyRfzjpuPi12Gn5ufpKvpxTz+8xHI2jYW7yX7CrH67zvFHp3GP2IeLz9tW6pI7w8czkmi4khoUNI8E+wyzVfmNOP+GBPSmqaePqbww7xHDU1direem8K6gqcp0nCEakrhYOfiseqNppkSJ5Iu+WWW1i8eDEvvPACgwYNYtu2baxatYqYmBgAiouLyctrq/5++OGHGI1GHnroIcLDw20fjz32mO2cqqoq7rvvPpKSkpgyZQqFhYVs27aN4cOVE8jvipRX11JXv4IMVxc8BBfu6X+v0iH9gvsG3IeHzoPj5cdZd2ad0uHYh15TxFl1swHW/VnpaBwGs8XMV6e+gtaxjPboKF4Mq9hqcoQPFfUtPPD5QZoMjrUpsyaIv8/6nmaT47gqORWGRtjznng85nHQSPvnbkfhDorqi/B19WVa7DRJ11KaaXHT8HYRN8K7itrnwN0lsHalpX4G9Y7XzSol2dXZ7C/Zj0bQ2MbPnZWUkBR6+vak0dh41Q7KpTVNPLEsDYsFFg6PZs6gCLvF2aWxWMSECMDwe8HNV9Llzh+rb6+2alelh1cPJkZOhFZNQ6dh6K/B3R8qsuHYt0pHIysGs8FWWLVHN5oVT1cdby9MwUWrYUN6KZ/uUl5z2kPvweyE2dDqoKwiEbvfAWMTRAyF+IlKR+O0yGI28OCDD5Kbm0tzczMHDx5k/Pjxtu99+umnbNmyxfbfW7ZswWKx/OLj008/tZ3zxhtvcObMGZqbmyktLWXt2rWMGqW2LHaUA6v/w1f+4vjBXcm/csgKXqB7IHf2uxOAtw+9jcHsBNoJgiB2pQlayFgJZ5zoQfQq2Fu8lzM1Z/DUezIrftZVXctNr+X9W4fg56HnSEE1z604brc47cG4iHGEeYZR1VzFulwnSRA7Goc+F0eofaOh/82SL2d9oLkx4cZ2Oc12Zdx17szpOQeczXQgfiL0SBE19fa8r3Q0smJ9iBsfMd6hOtOlQBAE5vURu9K+PvV1p7s0zGYLv/36MGV1LSSGefPX61VdNBs5W6EoFXRuMOIByZc7f6w+OShZ8vWUxposXHF6BfWGeqXDsQ+uXjDyIfF4+2viaHA3YVPeJsoaywh0C2RS9CS7XrtfD1+enZkEwMurTnKssPqKr5Eaa1fw1oKtlNSXXPF8lQ7SUNEmazL+acllTbozsiTSVBwPs9lCcf7/yHRxwR0di/o5rk34nf3uJMAtgDM1Z1iVvUrpcOxDSKKoCQGw/i9i9babY61MXR9/PR56j6u+XlSAB28tSEEQYOn+fJbucxzdI61Gy829xOSOPXV6VFoxGWDnW+LxGOmd4gpqC2wurPN7z5d0LUfB2lW5rWAbxXXFSodjHwShrStt37+6jSFMs6mZFadXANgSTM7OrPhZuGpdyazM5PC5w526xsc7stmeWYabXsM7i1JUXbTzsXajDb4TvIIlXcpsMdsSwdb3JWdnZPhIYn1iqTfU8+PpH5UOx34MvxdcvOFcOmR2nyKjVRZibu+56CXYr9wxKobJfUNpMZl5ZMkh6puVdXzt6deTIaFDMFlMNoMbFTuy7yMw1ENof+g9VfLl1uauJac6R/J1HBE1kdZNOZy6i80+YlXi5p434Osqbdv91eCp97R1pX189GNMzqKdMPEPoPeAgv2QvkLpaBSltKHUJrJqdQW0B+N7B/PUlD4A/OWH4xzOr7Lbta+Wm3rdhFbQcqj0EKcqTykdjnNxbLkoWuwZDCm3Sb7cD6d/wIKFkeEjifKJknw9RyDON44RYSMwW8zOlQxOnAVBvUVtvQP/UToaWViXu47q5mrCPcMZ02OM0uHIgq+rL1NjxQeMzty/Rwuq+efaDAD+MqsfCSGdd9hzOvL3Q8420OjadK8kZE/RHgrrCvHWezMtzrnH6q0IgmDbK32b6URjkO5+MPRX4nE3cVDOr8lnb8leBATJxuoFQeAfcwcQ7utGTlk9f/lB+SkNa9Hxm8xvMJqVTew5FS0NsPdD8Xjs45J3o9W11PHnnX9m9vezyajIkHQtR0RNpHVTjuxeTKqbG1oL3Jni+CYNt/S5BR8XH3Jrcll/Zn07XtEF8A5r22RueL5bW37/kPUDJouJlJAUu4msWnlgQk9bJe6Bzw9SXucYmmTBHsFcG30tnFeNVLEDFzjFPSi5U5zJbLLZuFvd1LoL1u6PbzO/xeAs718ajaipB6LGnqFJ6Ygkx5pImttrLlpN9+mqso4Xrc1dS3Vz+8ed6puNPLr0EAaThWn9wlg4vHskz9vNjtfFzwNuAT/p/998kyl2o82Mn4m7Ttr3e0fi+p7X46JxIb0inRPlJ5QOx36MfBC0LpC3G/L2KB2N5HybJSZCR/cYTQ+vHpKt4+/pwpsLUtAIsDy1gG9TCyRbqz1cF3MdAW4BlDaUsrVgq6KxOBVpX0BjBfhFQ1/p3YvX5q6l0dhIrE8svf17S76eo6Em0rohZRUVHNakATDeL4VQz1ClQ7oinnpPbusrdpZ8eORD53GKG/2I2DVTcbrNXaWbYbaYbRVVKapxGo3Aa/MHEh/kSVF1E48uPYTR5Bj3j/VB7sfsH2kwNCgdjnNwgVPc3ZIvt7d4LyX1Jfi4+NgSo92Fa6KvIdg9mPKmcrYUbGnHK7oI/eeBTyTUnRU3pU5MVmUWh0oPoRW03S4RPDB4IL38e9Fsau6Q6cBzK46TU1ZPuK8bf5/bv9PGOE7J2RPiezBCW0JaQsoby23d7Df3ll4L05HwdfW16Wk5VVeaTzgMbBXc3+HcXWlGs9FWiJvbW3qTl+FxATw2SUx2/On7Y+SUKaev56J14YYEMdGjFpPthNkkmgwAjHoYtNK7b3+XJY7m3tjrxm75t1BNpHVDtq19m02ergA8MPb3SofTbhYlLsJT70lWVRZb8p3koc3VGya0/g62vgLNtUpHJDv7S/ZTUFeAl96LyTGTJVnDx03PB7cPwcNFy86scl5d5xijlCPCRxDtHU29oZ7VOauVDqfrY7G0dUMMu0dypzjO20TMjJ+Jq9ZV8vUcCb1Gz5wE0XTAqXROdC5t3cI73wST846dWLvRrom6hmAPabWsHA1BEGzFjK8z2mc68OPhIr4+WIAgwBu3DMLPw0WGSLsQ1m7gvrMhWPruhBWnV2A0G0kOTKZPQB/J13M0buotJr9XZq+k0diodDj2Y/RjYjL21GoxOeukbCvYRlljGQFuATYnVql5+NoERsQF0NBi4pElqTQblZPLsSa/dxbtJL8mX7E4nIb0FVCZK7rfyiBrkl2VzeFzh9EKWmb3nC35eo6ImkjrZlgsFg6c+w6TIJAkBJMU1E/pkNqNr6svCxMXAvCvI//qtNOWwzHkLgiIFx0Gd72jdDSyszxzOQAz4mbYxWTgUvQO9eYfNw8A4IOtp1lzTHmBdI2gsT3IfXVKtQG/anK2QuFB0Slu5IOSL1fdXM3GvI3Q6tbZHbH+3DuLdnK2/qzS4diPwXeARyBUnYHjTpQkPI9GY6NNqNz6PtTdmBU/C3edO6erT3Oo9NBlz82vaOCP3x4F4OFrEhgZHyhTlF2Eihw4Jo5Z2kw7JMRisbR1s8vQzeOIDA8bToRXBHWGOueRPQEISoCk68XjnW8qHY1kWO/f2T1nS2IycDG0GoE3F6Tg76HnWGENr6xWTtcqyjvKpsv5dabalXZVWCxtJlvD7gUXT8mXtBaSx0WOI8g9SPL1HBE1kdbNOLh3A1u9WgD49TDpRWDtze19b8dN68ax8mPsLtqtdDj2QauHSX8Vj3e9DbVO9DB6BaqaqthwZgPItBGeNaAH94yNA+Dpr4+Qq2Bbu5U5CXPQaXScKD/RLYU67cr21m60wXdI7hQH8FP2TxjMBpICkkgKTJJ8PUck2ieaIaFDMFvMNudHp8DFA0Y8IB7veMMpnZXX5Kyh1lBLpFckI3uMVDocRfB28WZarChQfznTAaPJzOPL0qhtNjI42o/HJvWSMcouwq63wGKGnpOgxyDJlztw9gC5Nbl46DyYHjdd8vUcEY2gsY1kO9V4J61C6SAmZ6scx3XdXpTUl7C9cDsooK8a5uvGq/MGAvCfnTlsTFfuucPalfbT6Z9U04Gr4cxOKEoVC8nD75N8OYPZYNvzdddCMmoirfux+eAb1Gi1BJt0TO7T9dowA9wCmNdHrJx/eORDpcOxH33nQMRQ0a546ytKRyMb5yci+gb2lWXN309PZFisP7XNRh78IpUmg7IusP5u/lwTdQ2ATStDpRMUpYkdaYJWFqc4zvt9WXU+uivWh4Dvsr5zHv1KgOH3gIsXlB6HU2uVjsbu/HD6B2gtYmiE7rsdtJpmWN1LL8Zbm7I4eKYSb1cdby5IQaftvv+/LkpdKRxq1RMcJ303GueNk0+Pm46nXvruC0dlTs85aAQNB88eJLc6V+lw7EfEEIibAGYj7H5X6Wjszg9ZP2C2mBkcMpg43zjZ15+UFMqvxsQC8NTXhympVsZYZ0LkBPxc/TjXeI5dRbsUicEpsHajDVwoSyF5e8F2KpoqCHQLZFzkOMnXc1TUnUA3orq6iv26bACmhU3usu5cd/W7C71GT2ppKqlnU5UOxz4IAkx+QTxO/a844+7kWCwWm1vRjb3kq2botRreXjiYQE8XThTX8PyPytuAWxMxP2X/5Dzuh3Kz623xc/JNoluRxKSXp3Oy4iQuGhdmxs+UfD1H5rro6/DUe5Jfm8/BsweVDsd+uPvD0F+Lxzted6qutMK6Qg6ePYiAwKz4WUqHoyj9AvvRy78XLeYW1ub+MmG6L6eCdzZlAvC3G5OJCpBOgqDLsu8jMDWLBcGYMZIvV9fSNsrY3QsZoZ6hjIsQH2SteyqnwdqVdvC/UF+udDR2w2wx28bilBxL/sP0RPr18KGywcBjSw9hMsv/N06v1dv2UGoxuZOUpkPmWlFXUKZCsrWQMbvnbPQaecaSHRE1kdaNWLnuDdLd9OgtFu6e+LTS4XSaEI8Qm6jh5+mfKx2O/YgdAz2vFatvW5y/K+1kxUkyKzNx0bgwI26GrGuH+brx5oIUBAGW7MtX3AZ8dI/RBLsHU9Vc5Vzuh3JRldemYzX6UVmWtI7RTIqehK+r9KYGjoyH3sM2HudUpgMAox4CrSvk74UzzlMt/+m06FI5PHw4YZ5hSoejKIIgMKenaJph7dKzUt1g4PGlhzBbYO7gSOYMilAoSgempR72fywej3lULAxKzLoz62gyNRHrE8vA4IGSr+foWIuRP2T9gMHsRMW4+GsgfCAYG8VkrZOwt3gvhXWFeOu9JTPZag+uOi3vLBqMp4uWvTkVvLs5S5E4rMnwLflbqGqqUiSGLo21kJw0CwJ7Sr7cuYZztrHkG3p170KGmkjrRuw6J26chwgRBHZxd67bkkQ3ko15GymqK1I6HPtxzZ/Ez0eWwjnHcJaUCusDy7XR1yqSiBjbK8imc/Psd8c4dVY5x1SdRmdLDqsVuU6w532wmCB+IoQPkHy5ZlMzK3NWgrqJsGEd71x/Zj21LU7kPuwdBoMWice73lI6GrtgsVj4KVvcD3RXp62fMzN+JlpBy5FzR8iuFjv3LRYLz3x3hKLqJmIDPXh+TtcxZ5KVQ59DYyX4x0GiPN2NP2SJ+4cbEm5AkCFx5+iMjxxPoFsgFU0VbM3fqnQ49kMQYOwT4vG+D8WkrRNg3f9Oj5uOu85d0Vjigjx58YZkABZvOMW+nArZY0gMSCQxIBGD2cCqnFWyr9+lqSmCI61mZaMfk2XJH7N/xGQxMSh4EPG+8bKs6aioibRuwsmMVPa6i/Pvi4Y8pHQ4V02CfwKjwkdhtphZcnKJ0uHYj8gh0GemKNi75SWlo5EMg8nAymwxEaHkg9wj1/ZiXK8gGg0mHvj8IPXNygmdWityOwp3UNpQqlgcXY7GSnHsA2Rrad94ZiO1LbWEe4YzMrx7irT/nP5B/enp25MmUxOrc1YrHY59Gf2IODJxag2UnlQ6mqvmaNlRcmtycde5c130dUqH4xAEuQfZxuNWZIkCysv257PqaAm6Vpc7L1edwlE6ICYj7G51Gx/1EMggGXKm5gyppaloBA3X97xe8vW6AnqNntkJ4l7q512VXZ6k2aKzfWMlpH6mdDRXTV1LHRvPiG7fcxLmKB0OADcNjuSmwRGYLfDY0kNU1rfIHoN1D6wWkzvI3g/AbIDoURA1TPLlLBaLbfJATlkeR0VNpHUTvt/xD5o0GnoYNUzs5xwbj9v6il1py08tp8HQoHQ49uOaP4oPbce/g5KjSkcjCdsKt1HVXEWwezCjeoxSLA6tRmDxLYMI83Hj9Ll6nvn2KBaFdJBifWNJCUlxPvdDqTnwiWjSEdJPdIuTAau2yQ0JN3RrkfbzEQTBtqlyuo1wYE9IbNXBs45QdGF+PP0jtI4le+hVvS8r1ofaH0//SMbZap7/8QQAT03tw8AoP4Wjc1DSfxBH6z0CYdCtsixp7UYb3WM0IR4hsqzZFbCOJ+8o2EFFk/xdRZKh0bZJNux6B4zyJ3nsiXUsOc43jv5B/ZUOx8aLc5KJC/KkuLqJP3x7RPa98Iy4Geg0OtIr0lUH+/bSVCPugQHGyNONlnYuzVaImxo7VZY1HRn1CaAbYDKZOGQUEzLjfEY6TRv82IixxPrEUmuoda4Ht7BkUTAdYLNzdqVZN8Kz4meh0yhb5Q/0cuXtRSloNQIrDhfx+V7lbNatFtI/ZP2gWEKvS2FsFqtxtHYNyfDeVlhXyN7ivQgIDlNNdhRmxc9CJ+g4WnaUrEpltFYkw7pJPbIMaoqVjqbTGEwGVueKHYPXxztHUc1eWN3jShtLuf+bpTQaTIxNCOK+cd17dOWSWCxtTnHD7gUX6ZOyJrPJVmhS338vpKdfT/oF9sNoMTpfV/DAheAVCjUFcOwbpaO5Kqz73zk95zjU85inq463F6ag1wqsPX6WJfvyZV3f382fiZETwRm7KqXi4KfQXANBvaGXPEktazfa1Nip3dot2YqaSOsGrN/6OSfcNGgtFu669g9Kh2M3NIKGW5PECugX6V9gtpiVDsl+THwGBA1krIKCA0pHY1cqmirYXiCKVDqKPs+w2AB+P60PAC/+eIIjBcqInU6JnYK7zp3cmlzSzqUpEkOX4shXUHcWvHtAsjzOVz9k/YAFCyPCRxDhpQqPn0+geyDjI8cDsCLbyboqo4ZD1EhxhMKavO2CbC/cTnVzNcHuwYwIH6F0OA6FXqu3Gd8Um7YT4OnC6/MHotE4zsOuQ5G7HYrTQOcGw++VZcm9xXs523AWHxcfrom6RpY1uxLWUVen62rXu8HIB8TjXW93WQflvJo821iyI7olJ0f48rupiQC88NNxskrl1Tu1jneuzF7pXKYZUmBsEfWBaS0ka6RP6dQb6lmTuwbOK/x3d9REWjdg0ymx7TPZ6ENkYJzS4diV2T1n4+3iTV5tni054xQE9RIrcACb/qZ0NHZlVfYqjBYjyYHJJPgnKB2OjXvHxTO5bygtJjMPfpFKdYP8f8Q99Z5MiZkCzuh+aG/M5rYxu5EPgM5F+iUtZlv3q7qJuDjWB7mV2SsxmU1Kh2NfxrSOFx34BJq7pqGCdaxzZvxMtDLoWXU1IvWiTprO+zjPz4knxMdN6ZAcF+v776BbwTNIliW/Py2+/86Im4Gr1lWWNbsS0+OmoxN0nCg/4XxdwUN+BS5eUHoCsjYqHU2nsCY4R4WPItQzVOlwLsrdY+MY1yuIJoOZR5ak0WyU7+/4mIgxNtOMbQXbZFu3S3JsOdQWiZ2aA26RZcl1uetoNDYS6yNK0aioiTSnp6q6jAN6Ubh8SvxNSodjdzz0Htzc62YA/pf+P6XDsS8Tfg8aPWRvhtwdSkdjN6wt21ZhXEdBEARenTeQqAB3Ciobeeqbw4qMV1p1ptbmrqXR2Cj7+l2GrPVQlgEu3jDkTlmW3Fu8l+L6YrxdvLk2+lpZ1uxqjI8cj4+LD6UNpewr2ad0OPal93QI7AXN1W0GF12I6uZqthaIjn6O2A2hNOdqm1m8qgFTUxiCxkij60GlQ3JcStMhc52o5zpKHgOrmpYaNuVtgvM6V1QuJMAtgHGRYjL4x+wflQ7Hvrj7weDWv/W73lQ6mg5zvv6tI48lazQCr80bSICnC+nFNfxjjXx6ZTqNzlaMs47AqlwEi6XNRXzE/aCTp6hw/v3rSGPJSqIm0pycbza8yjmdFh+ThQXj5HG0k5uFiQvRClr2Fu8lszJT6XDsh38MDL5DPN70ty7byn4+GRUZnKw4iV6jZ3rsdKXD+QW+7nreWzQEF62G9SfO8q/t2bLHMDhkMBFeETQYG2wPDSoXwarNM/QucPOVZUlrEnhG3AzcdGqnysVw0bowPU78t/1T9k9Kh2NfNJo2Z9g974Gpa42erM1di8FsoI9/H/oE9FE6HIfCbLbw1NeHKa8z4G8eDapOz+WxdqMlXS+accjAutx1NJuaSfBLoG9gX1nW7IpYJTN+Ov2T83UFj3wABC3kbIOiriV/sb9kv1iI03s7/FhyiI8b/7x5AAD/3pHDlgz5nOStSfLtBdspbyyXbd0uRdYGsTPTxQuG/lqWJYvqijhw9gACglqIOw81kebk7Dontj8PE2Jw0TtnG3y4V7itO+SrjK+UDse+jH9a1B/J291lW9nPx/pgMjFqIn5ujumC1j/Sl79cL27SX1mTwf5ced2vBEGwVeScrqJsLwoPwpkdoNGJ1TgZaDC0JTat7mgqF8e6yVp/Zr1zOSqDOELhGQI1heJoRRfCOtZpfX9RaeM/O3PYeuocrjoNb8z8NVpBy5FzR8iulr+Y4vDUFIn6lMjnFMfP7l+1G+LS2LqCG0vZW7JX6XDsi19Umx5qF3NQtnbzTI2b2iUKcZOSQrlzVAwAT319mHO1zbKs29OvJ/2D+mO0GFmZvVKWNbscO1s7MgffKXZqysCqnFUADAsbRphnmCxrdgXURJoTk1twkjQ3cTTsxpT7lA5HUub3mQ+tiQenenDzCYdh94jHm17s0l1pRrORVdniG7GjmAxciltHRDNnUA9MZguPfHmIinp57datiYjdRbs513BO1rW7BNYNdPLN4Bspy5Ib8zbSaGwkxieG5KBkWdbsqgwMHki0dzSNxkY25nX9AsAF6N1gxG/E451vdZn35LyaPNLOpaERNDZBfRWRY4XVvLLmJAB/mtWX4dExjIsQx+NWZDmZaLs92PuBaLoRPQoih8qyZGFdIamlqQgI6v17Bc7vCrYmH50Ka1fw8e+gSjmX9Y7QYGhg/Zn10MUKcc/MSKJPqDdldS08LaPcia2r0tm62u1BYapo9KLRtRlwSIzFYrG9l6jdaBeiJtKcmGXbXsUgCMS2wIRBXeeNuzMMDxtOjE8M9YZ6W9bcaRj7BOg9RXesk133j8re4r2UN5Xj7+rPmIgxSodzWQRB4KUb+xMf7ElJTRO//SoNs1m+B+YYnxgGBA/AbDE73/18tVTmwonWkavR8o2rWzd0s+Jnqd0QV0AQBGb1FDdbTvkgN+xu8T259Dic7hqJQuv9Oyp8FMEewUqH4zA0tBh5dOkhDCYLU/qGctuIaDhPw+jH0z8633jc1dBUI5ptAIx+VLZlrZ0pw8OGq90Q7cCaiNiYt5F6Q73S4diX8AEQPxEspjbXQgfHWoiL9o5mYPBApcNpN256LW8tTMFFp2FLxjk+3ZUry7pTY6eiE3SkV6Rzuuq0LGt2GazaaMlzxQ5NGUivSCe7OhtXrSvXxVwny5pdBTWR5sQcrDsAwFBX5++e0Aga5vWeB63jnUqIxEuGZ1Bb1WHzS6JbYRfE+iA3NXYqeo1e6XCuiKerjncXDcZFp2FzxjnZ9dJmx6sVuYuy+z2wmKHntRAmz3vbuYZz7CneA61uhypXxlq13FO8h7P1Z5UOx764+7fpV1q1+hyY86vJ6ljnhbzw4wmyz9UT6uPKK3MH2JLkEyIn2MbjnM4042pI/S8010BQb+g9TZYlLRZLWyGjp9oN0R76B/Un1ieWRmOjrRPKqbAW0Q7+FxorlY7milgTwV2xENcnzJs/zUwC4OVVJ0kvrpF8TX83f8ZGjgV1D3whFTmKFJKt+4eJURPxdvGWbd2ugJpIc1LSMnaR7mpCsFiYN+YJpcORhTk95+CicSG9Ip1jZceUDse+jH4YXH1EccmTXa/Do8HQYBvx6kob4aRwH/7aqpf2z7UZHDwj34ZtauxUdBodJytOcqrylGzrOjQNFXCo1Z1Xxm6IVTmrMFvMDAoeRJS3PBXArk6UdxSDQwZjweKcXZWjHmwVvd7q8KLXaefSKKgrwEPnobrNnseqo8Us3Z+PIMAbtwzC39PF9j29Vs+0WDFRpD7ItWIytHUAjXpYNN+QgRPlJ8ipzhG7IaLVboj2cIHWqjN2BfecBKHJYKhv65B0UM41nGN38W7owoW420fGMCkxhBaTmUeWHKKxRfouXWsxbmX2SsyWrtlAYHf2WAvJkyCsvyxLGs1GVuesBuD6eLUQ93PURJqT8t0esUqe2KKjb8/hSocjC35ufkyNnQrAV6eczHTA3b9Nl2frP7pcV9rm/M00GhuJ8o5iQNAApcPpEIuGRzNrQDhGs4VHlxyiqkEevTQ/Nz8mRE6AVvctFeDAv8HQIG4g4ifKtqz1QVrt5ukY1v9fK06vcK4uYQC/aEi+STx2cNFr64P05JjJuOvclQ7HISisauQPy48A8MCEnozuGfSLc6z3r1OaZnSGY9+KJhueIaLphkxY33+vjboWLxcv2dbt6lgTEftK9lFUV6R0OPZFENo6cvZ+AEZ5hPA7w+qc1ZgtZlE71Cda6XA6hSAI/OPmAQR7u5JVWsffVp6QfM0JkRPw0ntRXF9M6tlUyddzeOrLIbW1kDxGvkLynuI9Nlme0RGjZVu3q6Am0pyUtObjAAzzHqF0KLJiNR1Yk7OG6uZqpcOxLyMfBBdvOHsMMrqWk411IzwzfmaXa2sXBIGXb+pPTKAHhVWNPPX1EdmSAtbqz8rslapOj6EJ9n4kHo9+VNxIy0BmZSYnK06i0+iYEjNFljWdhSmxU3DRuJBVlcXJipNKh2N/rF2Rx7+DyjNKR3NRmk3NrMldA2oi2IbRZObxpYeoaTIyKMqPJyb3vuh5A4MHEuUdRaOxkU35m2SP06GwWNq0eUb8RjTdkAGj2WjraO1K3eyOQA+vHgwPEwvpTul+2O8m8O4BdWfbXGQdkPP1VbsygV6uvD5f1Hf7Ym8ea4+XSLqem86NyTGTQe0KFtn/MRgbIWwAxE2QbVlrIW5a3LQuIcsjN2oizQnZdnAF2a6gs1hYMPEppcORlYHBA+nt35smU5PztbN7BLR1pW15pct0pZU3lrO7qLWtPa5rtrV7u+lFvTSthg3pZ/lkpzyCq+MixzmvjX1HObIM6kvBJxL63SjbstYN3PiI8fi5yWMz7iz4uPgwMUrsHPwx28nej/m56PV7SkdzUbYVbKO2pZZQj1CGhQ1TOhyH4N3Np9mfW4mXq463FqSg1158KywIgu3ht9t3BZ/eJBbx9J6i2YZM7C7aTUVTBQFuAYzqMUq2dZ0Fp+4K1rm06Qfvetsh98Snq06TXpGOTtDZJma6MuN6BXPf+HgAfr/8CCXVTZKuZ71/1+Wuo9nkuF2HkmNohH2theQxj8lWSK431LMpTywidfVEsFSoiTQnZNXhfwHQv8WdqPBeSocjK4IgML+32JX21SknMx0AGPUQuHjB2aOQ0TV0h9bkrsFkMZEcmEysb6zS4XSa5AhfnrUKrq5O53B+leRrnm9j360f5MzmtvG5kQ+AVp6qmNlibhMJVrshOoXVPW5V9iqMZqPS4dgfa1da6meihp+DseL0CmjdBGsEdct3ILeCNzeKmpMv3tCP6ECPy55vfXjYXbybcw3nZInRIbF2ow2+Q5SakAlrAn5arNoN0Rms49y5NbkcLTuqdDj2Z8id4qRGWQZkOZ6pgrUQNzZyLP5u8v27kZKnpvQhOcKHqgYDTyxLwySho/2Q0CGEeoRSa6hlW8E2ydZxeNK+hIYy8I2GvjfItuzGvI00mZqI8Ymhf5A8mmxdDXVX5WSYTSbSzDkADA+Ur/XTkZgZPxN3nTs51TkcOHtA6XDsi0cADL9PPN76ijhu4eCsyhYTfl1VZPV87hgVw7R+YRhMFh5ekkp1o0HyNa0PchvyNnRfnZ5Ta6A8E1x9xY2zTBw8e5CzDWfxdvFmfOR42dZ1JkZHjCbALYDyprbOVKei57UQ2l/U7jvwb6WjuYDKpkp2FOwAdawTgOpGA48tTcNsgRtTIrgxJfKKr4n2iWZg8EDMFrNNcLnbUXwYsreI5hrWDiAZqDfUszlvM6j3b6fx1HsyKXoSnJdUdyrcfGHoXeKxg2lVXlCIc6JuHhedhrcWpOCu17I7u5yPtknnaK8RNLZnB6ebMmovZlPbvT3qIdDqZFvaWsDvirI8cqEm0pyMzQe/p1Av4GK2MH9i93Dr/DleLl7MiJsBwHeZ3ykdjv0Z9bA4XlFyBDIce2N/puYMR8qOoBW0TIubpnQ4V40gCLxy8wAi/d3Jr2jkmW+l10sbGDyQaO9oGo2NNufTbod1EzH0LnCVz3rbunGbEjMFV62rbOs6E3qN3tZV6ZQbYUFoE/7d+5Go5ecgrM5ZjdFipG9gX3r69VQ6HEWxWCz88bujFFY1Eh3gwQtz+rX7tVatym6r02N9/+13A/jHyLbshjMbaDI1EesTS7/A9v++VC7Eev+uzV2LwSR98U92RjwAGh3kbodCxxGlP3j2IMX1xXjpvWwSB85CfLAXz88W/02+ti5D0gkN6/27vXA7VU3ST4I4HCd/gsoccPODlNtkW7a0oU1SxpkSwfZGTaQ5GeuP/ReAZIMHIYERSoejGDf2EjWU1p9ZT01LjdLh2BfPQBhh7Ur7u0N3pVm70UaGjyTI/ZeuaF0RX3c97ywajF4rsOpoCZ/vkVZkXBAE21ihUyYirkTBAcjbBRo9jLhftmWbjE2sPyOOiqibiKvD2k2yKX8TtS21Sodjf/rdKGr31ZfCkaVKR2PD5jarWtbz9cECVh4pRqcReGthCt5u7R8TnBo7FZ1GR3pFOlmVWZLG6XBU5YlunZw3xiwTXdmkyJEYHj6cIPcgqpqr2FG4Q+lw7I9vBCTfLB5bR5AdAGs32pRY5yzEzRsaycz+oqP9Y0sPUdcsjXRDgn8CiQGJGM1G1p1ZJ8kaDovFAjtb7+nh94KrfK7FVrfZlJAUoryjZFu3q6Em0pwIi9nMEZPYYjs0YKzS4SjKgKABJPgl0GRqYnW2Y3dtdYpRj4hdacWHxbE3B8RisVywEXYmBkX58ftpiQC8+FM6xwqldYi1JnL2FO/hbP1ZSddyOKwb4/7zwKeHbMtuKdhCnaGOHp49GBw6WLZ1nZG+AX2J942n2dTMhjMblA7H/mj1MOpB8dhBRK9zqnM4WnYUraC1dQR2V7LP1fHcCtHJ/InJvRkU1THTED83P8ZFjANnNc24HHveF8004sZDj0GyLXu2/ix7i8VuCGfbP8iNTqOzTWk47f07+hHx84kfoFIeM6jL0WxqZl2umPRx1kKcIAi8dGN/evi6kVveYHuPlQLr/8NuV0zO2w2FB0Dr2ibrIxPW/9fOev/aCzWR5kRsO7SCfBcBvcXCzRMfVzocRREEgRsTxK60b7O+VToc++MZCMPvEY+3OGZX2rGyY+TV5uGuc7dpdDgTd4+N47qkEFpMZh7+MlWyahxAlHcUg0MGY8HCqpyuYTJhFyqyIb1142TdKMvEytNiNXlm/ExVpP0qOd/90FqldzoG3yHq9ZRnOYQRjHUTPCZiDIHugUqHoxjNRhOPLj1EQ4uJUfGB3D+hcyOu1q7KldkrMVuUT5TKQmMlHBSnHBj9mKxLr85ZjQWL2g1hJ6zvv1vztzrflAZAWLKoV2kxw27lHZS35m+l1lBLmGcYQ0KHKB2OZPh66Fm8IAWNAN8cLGDF4SJJ1pkeNx2NoCHtXBr5tfmSrOGQ7HxT/DxoIXiFyLbsqcpTZFRmoNM4h9uslMjydPDee+8RFxeHm5sbQ4YMYfv27Zc9f+vWrQwZMgQ3Nzfi4+P54IMPfnHO8uXL6du3L66urvTt25fvvnNCLawOsubIpwAkt7gTHhStdDiKc33P69FpdJwoP0FGRYbS4dif0Y+C3gOK0yDT8dqdrd1o10Rdg4f+8s5oXRFBEHh13kBbNe6P3x6VVC/NOt7plDb2l2L3u+LGOGEyhPaVbdmKpgrbCIxajbMP1q6SfSX7KKkvUToc++PqDUN/LR4rLHpttpjbxjq7uUj7a+tOcaywBj8PPW/cMgitpnMjghMiJ+Dt4s3ZhrPsL9lv9zgdkgOfgKEeQvpBgrzFMGvnlPr+ax8SAxJJ8EugxdzC+lzHc7e0C9bR40P/U9xB2TaNEef8hbjhcQE8fE0CAM9+d5T8CvubYoV4hDAibAQ4czHu55SebJ04EsQpJBmx3r/jI8bj6+or69pdDcn/dS9btozHH3+cZ599lkOHDjFu3DimT59OXl7eRc/PyclhxowZjBs3jkOHDvHHP/6RRx99lOXLl9vO2b17N7fccgu33347hw8f5vbbb2f+/Pns3btX6h/HoTliFLU7BvuPVjoUh8DfzZ9roq4B4NtMZ+xKC4Jhd4vHDtaVZjAbWJMrjpw680bYz8OFtxeloNUIrDhcxNL90lXKpsZORa/Rk1WVxanKU5Kt4zDUl8OhL8RjmbvR1uautYm0x/vFy7q2s9LDqwdDQodgweK87ocj7getC+Tvgfx9ioVxgch1pHOJXHeEbafO2Rzl/jF3AGG+bp2+lovWxVaZ7xbjRcZm2NtaxB79iGiqIRMZFRmcqjyFXqNXuyHsxPldwU5rmhE/EcKUd1Cuaqpie6HYMNJdChmPTurF4Gg/apuMPLEsDaPJ/l271mLyT9k/dY9i8u7WglziTAhKkG3Z891mu8v9ezVInkh7/fXXufvuu7nnnntISkpi8eLFREVF8f7771/0/A8++IDo6GgWL15MUlIS99xzD7/+9a959dVXbecsXryYyZMn88wzz5CYmMgzzzzDpEmTWLx4sdQ/jsOyI/VH8lwEdBYLN0/onm6dF+OmXjdB6xtvs6lZ6XDsz+jHQOcORamQ6ThVxj1Fe6hoqiDALYBRPUYpHY6kDIkJ4KkpfQB4bsVxTpZIMzbh4+Jjc37qFg9y+z8GYyOEDxT1eWTEavmtirTbF5vOibPq9HiHwYD54rF1JEMBbG6zsVNw03U+edSVKatr5smvDgNw28hopvQLu+prWt8P1p9ZT6Ox8aqv59Ac+QrqzoJ3D0ieK+vS1oe48ZFqN4Q9mRk/EwGBA2cPUFQnzQieoghCW1eagg7Ka3PXYjQbSQpI6jZuyTqthjcXpODlquPAmUre3mR/U5broq/DXefOmZozHCs7ZvfrOxQ1xeJ7MMAYecfq95fsp7ShFG8Xb8ZHyrv37opImkhraWnh4MGDTJky5YKvT5kyhV27dl30Nbt37/7F+VOnTuXAgQMYDIbLnnOpa3YHVh/+DwD9mt2IDIlVOhyHYVT4KMI8w6hpqWFT3ialw7E/XsFtXWkO5OC5MkfcCE+LnYZOo1M6HMn5zfh4JvYJptlo5qEvUqmXSC/NmohYlbMKk9kkyRoOgaER9n0kHo9+VNZuiDM1ZzhSdgStoGVa3DTZ1u0OTI6ZjF6jJ7My0znH7aFtBOPkSig/LfvyTcYmm7NZd00EWywWnv76MGV1zfQO9eJPM+0zFp4SkkKEVwQNxgY25222yzUdErO5bTx55AOgc5FtaZPZZNs/OHM3uxKEeYYxLGwYOPN43AUOyssUCcHa8dfd7t+oAA/+78ZkAN7elMn+XPuO13roPWxTRk7bVWll7wdgaoGokRA1XNalrYW4qbFTcdHK997fVZE0kVZWVobJZCI0NPSCr4eGhlJScnGNlJKSkouebzQaKSsru+w5l7pmc3MzNTU1F3w4G4etY51+I5UOxaHQarTckHADOOt4J63VCp07FB6E08onCxsMDbakZXdx29JoBF6bN5BQH1dOn6vnzz9IUy0bFzEOP1c/zjWeszmaOSWHl0BDGfhGQ98bZF3a+oAxssdIgtyDZF3b2fF19WVC5ARw5ge5kEToNRWwwO53ZF9+c/5m6g313dpt9tNduWzOOIeLTsNbC1Nw02vtct3zx+OctqsSRM3Vsgxw8YYhd8q69P6zajeElJx//zrleJxWLyZ/UcZBOb8mn7RzaWgETbd0S54zKIKbUiIwW+DxpWlUNxrsen3r/bsmdw0Gs32v7TA014r6lMjfjdZobGRDnuis3t0SwZ1FFgVE4WfdBBaL5Rdfu9L5P/96R6758ssv4+vra/uIinIuB6DqugrCzF74mMzMGy/vP7quwA0JNyAgsKd4DwW1BUqHY3+8QmDIXeLx1n8o3pW2MW8jjcZGor2j6R/UX9FY5CTQy5W3Wt2Lvk0t5OsD9tdL02vbNGOc9kHObIJdrQmIUQ+CVr6ORovF0ibS3k27eaTGqnOyMmel83ZVjmkdL0r7EurOybq0zbK+5yynF7m+GCeKanh51UkAnp2RRGKYj12vb9WM2V20m7LGMrte22HY9Zb4eehdohOtjFjH6tVuCGmYHDMZV60rOdU5nKg4oXQ40jDkTnD1hfJMyFwr69I/5Yj378jwkQR7BMu6tqPw/Jx+RAd4UFjVyB+/s68J16geowhwC6CiqYLdRbvtdl2H4uB/obkagnpDb3mnIrbkb6HeUE+EVwQpISmyrt1VkXSXFRQUhFar/UWnWGlp6S86yqyEhYVd9HydTkdgYOBlz7nUNZ955hmqq6ttH/n5zmWd6+sVwMe/2c3GW/cTFd5L6XAcjgivCEaEi24v32d9r3Q40jDmMdC6iiLXuZd3xZUa61jGzPiZl02YOyMj4gN54rreAPzlh+NkldbafQ3rg9zGvI00GOzvjqQ4Gauh4rT4AJdyu6xLHz53mPzafNx17rYRAhX7Mi5iHD4uPpQ2lHLg7AGlw5GGmDHQYzAYm2D/v2RbtqyxjF1FosRFd0wEN7aYeGRJKi0mM9clhXDHqBi7rxHjE8OAoAGYLCbnNM0oOAhndoJGByMekHXp87shuuP9KwdeLl5t43GnnXQ8ztUbhv5KPN75lmzLWiwW2//T7tzN4+2m580Fg9BpBFYeKebrg/ZrYNBpdMyImwHOev+aDLDnPfF41MOgkbcYZi0kz4ib0S0LcZ1B0v9LLi4uDBkyhPXrLxRBX79+PaNHX9xZctSoUb84f926dQwdOhS9Xn/Zcy51TVdXV3x8fC74cEbcXD2UDsFhsZoOfJ/1vXN2QfiEw+DWpMPWfygWRlljma1K1F3GOn/Og9ckMCYhkEaDiYe+OESTwb7324CgAcT4xNBobGRj3ka7XtshsHVD3A2uXrIubd1ETI6ZjIdefT+VgvPdD51W50QQ2rrS9v0LWuRJeK/OWY3JYmJA0ABifbufVuqLK09w+lw9Id6u/OPmgZIVcqxdlU5p+mJ9/+0/D3wjZF36/G6IQSGDZF27O2FN8qzOWY3RLI2eq+KMuB80esjbBQXyFGyOlB0hrzYPd507k6InybKmo5IS7c8Tk8Wi8nMrjpN9rs5u17bev5vyN1HXYr/rOgTHlkNNIXiGwIBbZF26vLGcnYU7QXXr7BCSpxuffPJJPv74Y/7zn/+Qnp7OE088QV5eHvfffz+0dovdcccdtvPvv/9+zpw5w5NPPkl6ejr/+c9/+Pe//81TTz1lO+exxx5j3bp1vPLKK5w8eZJXXnmFDRs28Pjjj0v946h0Ua6NvhYfFx/ONpxld7GTtgOPeVzcOORuhzPK/Ixrc9ditpjpH9SfGB/7dwN0BbQagTduGUSQlwsZZ2t5/kf7jk8IgmBLUjrdg1zeXsjfC1oXGPEbWZc2mAysyV0D3TgJLBfWjfD6M+tpMirjrCY5SbPBLwYaKyDtC1mWPH+ss7ux5lgxX+7NQxDgjVsGEeAp3VjgtNhp6AQd6RXpnK6S31BCMipyIH2FeDz6EdmXtybWZ8bPVLshJGR0xGj8Xf0pbyp33vE4n3DZHZSt77+ToiephTjg/gk9GRkfQEOLiceWptFitI9eXd/AvsT6xNJsarZ1sDoFFktbB+XI+0Evr+P2mtw1mCwmkgOTifONk3Xtrozkf6luueUWFi9ezAsvvMCgQYPYtm0bq1atIiZGfMguLi4mLy/Pdn5cXByrVq1iy5YtDBo0iBdffJG33nqLuXPb7LdHjx7N0qVL+eSTTxgwYACffvopy5YtY8SIEVL/OCpdFFetqy3D7rSmA35RMGiReLxNma40a6t1d09EhHi7sfiWFAQBluzLY8Vh+1rNz4oTH5T3luyltKHUrtdWFGs3xID54B0m69LbC7dT3VxNsHswI8LUvyVSMihkEBFeEdQb6tmSv0XpcKRBoxVHMwB2vytq/0lIVmUW6RXp6DQ6psV2L7fZoqpGfr/8KAD3jY9nTIK0JiH+bv6MjRgLztZVuftdsJgh4ToI7Sfr0ud3Q3TnsTg50Gv0Nkdqp7p/f441GZz+o+QOyucX4tSxZBFrUdnPQ8/RwmpeW2cfp25BEGzPc0413nl6I5QeB70nDP217MvbxpK7YSHuapCl5PPggw+Sm5tLc3MzBw8eZPz4NieeTz/9lC1bLtxIT5gwgdTUVJqbm8nJybF1r53PzTffzMmTJ2lpaSE9PZ2bbrpJjh9FpQtzY8KN0OpqVtFkX1tmh2HsEyBoRfdOmdrZreRW53Ks/BhaQdvtHuQuxtheQTw0MQGAP357lNyyertdO8onikHBgzBbzM6j01OWBSdbnRxHKdcNMSNuBlqNfVz+VC6ORtC06Zw484Ncyq3g7g+VOeLDnIRYzUfGRYzD381f0rUcCZPZwhPLRHe4AZG+/HZyH1nWtZlmZK/EbJHXGVAS6svh0Ofi8ehHZV9e7YaQF2uyZ1PeJuoN9tubOBQhSdBrSquD8ruSLnVBIS5cLcRZCfd15+83DQDgw23Z7Mi0j0GLdf+wr2QfJfUlVzy/S2DtRhtyp7hvkJGc6hz1+a2TqL3TKt2GPgF96BfYD6PZ6FxVjPMJiIOBC8RjmbXSrCYDo3qMItA9UNa1HZXHr+vFsFh/6pqNPLwklWaj/bpSrBU5pxnv3POuuOHtNRVCEmVdurq52tYZpWpDyIM1EbGzcKfzFjZcPGHYveLxrrckc1Q2mU22hOTsnrMlWcNReX9LFntzKvBw0fLWghRcdPJsaydGTcRb701xfTEHzx6UZU1J2f8xGBshfCDEjW/HC+yL2g0hL8lBycT6xNJkanJOrVUr1qRw2hdQL53LrlqIuzTTksNYNCIagCe+SqO8rvmqrxnpHcngkMFYsDhHMbkoDXK2io0QIx+UfXnr/Tu6x2j1+a2DqIk0lW6F1XTgu6zv7GrJ7FCM+y0IGtH2uyhNliUtFgsrs9vcOlVEdFoNby1Mwd9Dz7HCGl5eddJu154aOxW9Rk9GZQanKk/Z7bqKUHcO0r4Uj8fI3w2xNnctBrOB3v696RMgT0dLdyfeN14sbFiMrM1dq3Q40jH8PtC5QeFByJNGj2j/2f2UNpTi4+LD+Ej5kyBKcfBMJW9syATghTnJxAZ5yra2q9aVKbFTwBmKGYZG2PeReDz6UdEsQ0bUbgj5cWqt1fOJHQs9UkQH5X3SOCjXtNSohbgr8OeZfekV4sW52mae/uaIXZ6/bKYv2U5w/1plTZLnijI9MnL+85t6/3YcNZGm0q2YFjcNV60rWVVZHC8/rnQ40hDYU3wzBtj2T1mWPFJ2hPzafNx17lwbda0sa3YVwn3deW3+QAA+3ZXL2uP2aUP3dfW1PTR3+Q7L/f8SN7o9UiBmjOzLW6txqraJvFi1kJx6vNMrGAYuFI+toxt2xvogPDV2Ki5a6UT2HYmaJgOPLT2EyWxh9sAezB0sr8MkzmSakfYlNJSBbzT0vUH25dVuCGWwJtL2Fu/lbP1ZpcORBkFo60rb95EkDsrrctdhMBtI8Eugt39vu1/fGXB30fLWQrFjeNPJUj7bfeaqrzklZgp6jZ7MykwyKuyjv6YIlWfg+PfisQKF5EOlhyisK8RT78nEqImyr9/VURNpKt0KHxcfJsdMBmc2HQAY9xQgwMmfoOSY5MtZqxmqW9HFuTYxlHvHibovT399mIJK+2zmrImfldkrMUksZi4ZLQ1tlWIFuiHya/I5VHpI1O2KnyHr2t2daXHT0Apajpw7Ql5NXjte0UUZ9bD4fnxqNZyz74a/wdDA+jProRuNdVosFv703TEKKhuJ9HfnbzcmI8j8vgEwOHQwPTx7UGeo67qmGWYT7HpbPB71EGh1si6vdkMoR5R3FCkhKc4zHncpJHZQthYyru95vSLvQ12FpHAfnpkuynb836p00otrrup6vq6+TIicAF29q3LPe2AxQfw1ENZf9uWthYzroq/DXecu+/pdHTWRptLtsJoOrM5ZTaOxUelwpCEkEfrOEY+3vyrpUgazgTU5oluROtZ5aZ6emsjAKD9qmow8uuQQBtPVC1SPixyHj4sPpY2l7CvZZ5c4ZSftC3GD6xcjbnhlxrqJGBk+khCPENnX784EuQcxssdIcPautKAESGx9b7QmLezExryNNBobifKOYmDwQLte21H5NrWQFYeL0GoE3lyQgo+bXpE4NIKmbTyuq44XnfxJNMNw94fBt8u+vNoNoSzWrsoue/+2B61OMgflwrpCUktTERBsAvgql+au0bFcmxhCi9HMo0sO0WS4ut+FNfm+MmclRrPRTlHKSEMFpH4mHo95TPblW0wtNmkNVZ+yc6iJNJVux9CwoUR4RVBnqGPDmQ1KhyMd458WPx//3u5dEOezu2g3lc2VBLgFMDJ8pGTrdHVcdBreWZiCt5uO1LwqXlt39bpmLloXpsZOha6aiDCbYPc74vGohxXphrA+QFgfKFTkxdpV+VP2T86rW8l5otdHlkGt/caozh9L7g7dELll9fzlB7HL+vFJvRgSo6xDqfVBbmfhTsobyxWNpcNYLLDzTfF42D2iOYbMqN0QymLVWj1Veaprj8ddCYkclK2yGsPDhxPmGWa36zorgiDwz5sHEOztSmZpHX9beeKqrjcuYhx+rn6UNZaxt3iv3eKUjf3/BkOD2IkWL38hYVvBNmpaagjxCGFY6DDZ13cG1ESaSrdDI2hsXWnfZX2ndDjSEZYMibNEJ8Rt0nWlWTfC0+Omo9PImwjpakQFePDKXNEK/IOtp9mSUXrV17Q+yG04s4EGg/31PyQlfQVU5oob3JRbZV/+8LnDNm2/SdGTZF9fBa6JugZ3nTv5tfkcKTuidDjSET0CokaAqQX2fWiXS5Y2lLKneA90k0Rwi9HMo0sPUd9iYkRcAA9ek6B0SMT5xpEcmIzJYmJN7hqlw+kYZ3aJJhhaVxj+G9mXV7shlOd8rVXriK1Tcr6D8s437eKgbLFYVH3VThDo5cpr88Tu6c/35F2VbrBeq7cZlKw4vcJuMcqCobFtLzD6MdllTTjv+W1m3EzVbbaTqIk0lW7JnIQ5CAjsL9lPfk2+0uFIx/inxM/HvoHy03a/fL2hns15m6GbPMjZgxn9w7l9ZAwAT351mLM1VydSPSh4EJFekTQYG9icv9lOUcqAxdImvj7sXkW6Iawbr8kxk1VtP4Xw0HtwXfR14AymGVfC2pW2/9/QXHfVl1uVvQqzxUxKSApRPvI6fSnB6+tPcaSgGl93PW/cMgitxjE68GzucV1Np8fajTZokWiKITPbC7aL3RDuajeEkjiF1mp7sDooF6XCmZ1XfbljZcfIrcnFTevGdTHX2SXE7sL43sHcNz4egN8vP0JJdef3wVZt0E15m6g31NstRsk5vATqz4kmL/3kN3mpaqpia8FWUAsZV4WaSFPploR5hjG6x2hw9q60HinQaypYzLD9NbtfflPeJppMTcT4xNAvsJ/dr++sPDsziaRwHyrqW3h0ieg811kEQeiaNuBndoobWp2buMGVmRZTi62DRBW5VhZrEn5N7hoMJoPS4UhHn+kQ0BOaquDQ/676ciuyxURwdyhi7Mwq48NtYjHolbn96eHnOGOA0+OmoxW0HC8/TnZ1ttLhtI/SdMhcK5pgjH5EkRCshYyZ8Wo3hJKcr7W6/+x+pcORDjs7KFv3W9dEX4OnXv5CYFfnqSl9SI7woarBwBPL0jq9D04OSibWJ5YmU5PNeMfhMZtgl1XW5EHQyq/zuSpnFUazkaSAJNVt9ipQE2kq3ZYbe4njnT+c/sG5q3ATfid+PrxUHKOzI7a24PiZ3UKfx1646bW8uygFDxcte3MqeGtj5lVdz/ogvbtoN2WNZXaKUmKsG9mBCxXphthasJXallpVG8IBGB4+nCD3IKqaq9hRuEPpcKRDo4XRVtHr98DUeXHkjIoMMisz0Wv0Np1EZ6W8rpknlqVhscDC4dFMSw5XOqQLCHALYEzEGOhKXZVW04ukWRDYU/blK5oq2FawDdRChuKcr7Xa5boqO8roR8TkceZaKD3Z6cucb7KljnV2DhedhrcWiPvg3dnltkJJRxEEwfYe0mXu34xVUHEa3PwgRX6TF84rZHQXt2+pUBNpKt2Wa6KuwdfVl9KGUnYV7VI6HOmIHAo9rxXtlXe8YbfLljWW2fR5Zsapbp0dJT7Yi5duFK2u39qUya7TnU+AxfjEMCB4AGaLmVXZq+wYpUSUnlS8G8K64VK7IZRHp9HZksE/nP5B6XCkZeBC8AiC6jw48X2nL2O9fydGTcTX1deOAToWFouF3y8/QmltMwkhXvxlVl+lQ7oo54/HmS1X78gsKTVFcOQr8XjM44qEsDpnNUaLkb6Bfenl30uRGFTasL7/bjizwXnd7EFMGtvBQXlX4S4qmysJdAtkVI9R9ouvmxEf7MVzs8VpltfXnSItv6pT17Hev/tL9lNcV2zXGO3OBSYvd4Orl+whnK46zfHy4+gEHTPiVbfZq0FNpKl0W1y0LrY3X6ce7wQY39qVdugLqLKPJtzqnNWYLWYGBA8g2ifaLtfsbtyQEsH8oZFYLPD40jTK6po7fa3z3Q8dHusGNnGmIt0QlU2VbC/cDmo12WGwVkW3Fmylqqlzm+kugd4dRrQKu+96q1Oi1wazwfbv3NnHOv+7K5cN6aW4aMXuBXcXx0x6T4yaiJfei6L6IlLPpiodzuXZ8z6YDRAzRiy0KcAPWWLCfE7POYqsr3IhKSEpRHhFiFqreV1Ia7UzjHlM/HxkGdR0LuliHetUTbaunnlDIpk5IByj2cKjSw5R29RxeYceXj0YFjYMCxZW5ji4aUbebijYr5jJC+cVLMdGjiXALUCRGJwFNZGm0q2xunduzt9MRVOF0uFIR8woiB0nbp6tlZCrxOrwpHajXR3Pze5HrxAvSmubefKrw5g7qRMxNXYqOkFHekU6WZVZdo/TbtQUixtYztvQysya3DU2bQi1G8Ix6OXfi6SAJIxmI6tyukBX5dUw7B7QuUPxYcjZ1uGX7yrcRXlTOQFuAYyLHCdJiI7AiaIaXloljl/9cUYifXv4KB3SJXHTuTE5ZjI4ejGjqRoOfioeW80vZOZU5SnSK9LRaXTMiFO7IRwBQRBsSXmHvn/tQdRwiBop7of3ftDhl9e21NqSjepY8tUjCAIv3difCD938ioa+OsPxzt1HWtRdMXpFVjs4MoqGTsWi58HLQLvUNmXN5lNrDwtPr+phYyrR02kqXRr+gT0oW9gX4xmo3Nbf3OeVlrqZ52uwlnJqc7hePlxtIKWaXHT7BNfN8XDRce7tw7GTa9h26lzfLitc2LV/m7+jI0cC45uOrD3A3EDGzVS3NAqgFXHSN0EOxZzEsRNXZezse8oHgGQcpt4vKvjotffZ4kjoTPjZ6LXyC9SLAcNLUYeWZJKi8nMpMQQ7hwdq3RIV8T6frIudx3Nps53F0vKwU+huQaCE6HXFEVCWJEl/vueEDkBPzc/RWJQ+SXWRNquol1dR2u1s4xpTSIf+ASaazv00vVn1tNibqGnb0+SApKkia+b4euu580Fg9AI8O2hQr4/VNjha0yOmYyr1pWc6hxOlJ+QJM6r5uwJxWVN9hbvpbSxFF9XX8ZHjlckBmdCTaSpdHusXWnfZX3n2FWMqyV2nJi8MDV36uHtfKxJx9E9RqttwXagd6g3z10v6kS8ui6Dg2c61x3p8Db2zbXixpXzNrIyk1Odw5GyI2gFLdPjpisSg8rFmR43HZ2g43j5cU5XdU54uMsw6iEQNJC1Qdxct5PKpkq2FGwBJ68mv/DjCU6fqyfE25V/zhvYJcxshoQOIdwznFpDLVvytygdzi8xtohjnbSKrmvkfwQwmo22jidnvn+7IrG+sfQP6o/JYrIJ6TstvadDYC9oroaD/+3QS61jybN6zuoS70tdhaGxATw6SZwQ+NP3x8grb+jQ671cvLg2+lpw5GKc9dmr72xFZE04b6xzeux0XLQuisTgTKiJNJVuz4z4GbhqXcmszOR4eedairsEgtDWlXbgE6gr7dRlLBaLLZHm7Po8cnLLsChmD+yByWzhkS8PUdXQ0uFrTIiagLeLN2cbzrK3ZK8kcV4VB/8rblwDe4kbWQWwPsSN6jGKIPcgRWJQuTjnjyo6velAQBwktbpldUD0+nzL+j4BfaSLT0F+OlLE0v35CAIsvmUQAZ5dY7OvETTMjBelDhzSvfPo11BbDN7h0H+eIiHsKmobS7Z2UKs4Dtb712ETEfZCo2lzUN7zPpjap8uVW51LamkqGkGjuh1KwMPXJDAs1p+6ZiOPLj2EwdQx4xZrMXl1zmoM7fydykZ1gfgejHKyJnUtdWzK2wSqW6fdUBNpKt0eHxcfJkVPAuC7TCc3Heh5LUQMAWNjpx2LUktTKagrwEPnwcSoiXYPsbsiCAL/d2MysYEeFFU38dTXRzrcIemqdbVpzljHvxwGk+G8boiHFemGMFvMtgdcdRPhmFi7VFaedtCuSnti7co8+rXopNgOrP+ub0i4QcrIFCO/ooFnvj0KwIMTezI6oWslu60PcjsKdziW7qrZ3NYNMeJ+0LkqEoa1m2dG3AynHUvuysyIm4FOI2qtZlRkKB2OtAxYAJ4hUFMAx75t10usBZ4xPcYQ4hEicYDdD51Wwxu3DMLbTUdafhWLN5zq0OtH9RhFsHswlc2VbC3YKlmcnWL3e2A2itNBEUMUCWHdmXU0mZqI840jOShZkRicDTWRpqIC3NTrJmit9ju19bcgtDl47v831Jd3+BLWjfC0uGl46D3sHWG3xttNzzuLBuOi1bAh/Syf7srt8DWso8qb8jZR01IjQZSd5Ni34obVM0TcwCrA/pL9FNUX4aX3UpPADsr4yPH4ufpR2ljK7uLdSocjLRFDIGasqBloTTJfhpMVJzlZcRK9Ru+UIu1Gk5nHlh6itslISrQfj1/XW+mQOky8X7you2oxOtZ4XNZ6OHcSXLxh6K8UCaG6uZrN+aJIu1UPUcWx8Hfz55qoa8ARi3H2Ru8GI+4Tj9vhoGwym2z6fs5ayHAEIv09+PtNAwB4b8tpdp9u/3OKTqOzFUm/zWxfclQWGivbTF7GPK5YGNbnt9k9Z6tjyXZCTaSpqADDwoYR4RVBnaGODWc2KB2OtPSeCmEDwFAPe97r0EsbDA2szV0Lqr6JZCRH+PLsTFHA9qVV6RwpqOrQ6/sG9iXBL4FmU7PjPMhZLOd1Q9wnbmAVwLqxmh43HXeduyIxqFwevVZv066zPrQ4NVbB4YOfQtPlE9/WTfDEqIlOKdL+5sZMUvOq8HbV8daCFPTarrlFtXalOdR4stWte+hd4OarSAhrctZgMBvo49+HxIBERWJQuTLWJNHK7JWONx5nb4beDXpPOHsMTm+67Km7inZR2liKn6ufWoiTmJkDwrllaBQWCzyxLI3K+vZLnVjv351FOzlbf1bCKDvA/o/FZ67QZEiYpEgI+bX5pJamIiCosjx2pGvuUlRU7IxG0NgqpE5fhTtfK23vh2KlpJ1szNtIg7GBKO8oUkJSpIuxm3PHqBim9gvFYLLw8JeHqGlq/2ZWEATbRsJh7uXTm8SNqt5T3LgqQHVztS1Jbu1AVXFMrO/FG/M2Ut1crXQ40tJrCgT1EZ0UUy8tem0wGWzalM7YDbH7dDnvbM4C4KWb+hMV0HW7nWfGz0Sn0XGi/ATp5elKhwMFB+DMTtDoYcQDioVhTSyqY/WOzegeox13PM7eeATA4NvF4yuYcH2XJUq/zIyfqYq0y8BfZ/clPsiTkpom/vBt+6VOYn1jGRwyGLPF7Bhaf4ZG8VmLVm00hTrBfjz9IwAjw0cS5hmmSAzOiJpIU1Fp5YaeNyAgsK9kH/k1+UqHIy19ZkJIP2ipbXuDbwfWjog5PeeobcESIggC/5g7kAg/d/JaNYM6opc2K34WOkHH0bKjjuF+aN2gDr5d3LgqwOqc1bSYW+jl34t+gf0UiUGlffQN6Esf/z60mFts5hBOi0bT1pW2533RWfEibCvYRmVzJUHuQYzuMVreGCWmor6Fx5cdwmKB+UMjuX5gD6VDuir83fxtuqsOMV5k7UYbMB98IxQJIbs6m6NlR9EJOpugvYpjotPouL6n2FXpMMU4KRn5IAhayN4CxYcvekpVU5XNidcqn6EiLR4uOt5amIJeK7D2+Fm+3JfX7tfe2Ev8HX2X9R1mS8cMC+xO2pdQfw58o6GfMveOyWyyJYLVsXr7oibSVFRaCfcKZ1SPUQB8f9rJNw8aDYx/Sjze894VR4oAiuqK2FuyFwFBrSjLgK+HnrcXpaDTCKw8UsySfe1P7ga6B9rcDxXfCBcfETeoglbcsCqE9YH2xoQb1SSwgyMIQttGOPO7DptudDkGzAevMKgphKNfXfQU69+k6+OvR6fRyRygdFgsFn73zRHO1jQTH+zJc7OdI8lt7Xpdmb2SJmOTcoGUn4Z0sRPBlrBVAOvfobERYwl0D1QsDpX2Ye163VG4g7LGMqXDkRb/GEhu7VLf8cZFT1mZsxKD2eDUbsmOSHKEL7+bKo6Bv/jTCTLP1rbrdVNipuCp9yS/Np+DZw9KHOVlMJvajN1GPQRaZQxWdhXtoqS+BF9XX66LuU6RGJwVNZGmonIe1krTD1k/OL9jXN85ENQbmqph30dXPN3aIj08bDjhXuEyBKgyONqf300TN23P/3ic9OL2mwdYN8I/nv4Rg1lBnZOdi8XP/W4QN6wKcLLiJOkV6eg0OlUbooswK34WLhoXMiozOFFxQulwpEXnKm6yAXYsFjff51HWWMb2gu3ghGOd/9tzhg3pZ3HRanhrQQoeLs6RJBwZPpIenj2oNdSy/sx65QLZ/Q5ggV5TISRJkRAMJoOtm92aIFdxbOJ84xgYPBCTxWQbCXNqrALwJ34Qk88/w9ndkh2Zu8fGMa5XEE0GM48sOUST4crPZh56D6bFToPWYpxipK+Ayhxw928bIVaA5ZnLobUQ56pVxrHZWVETaSoq53Ft9LX4uvpytuGs8zvGabQw/mnxePe70Fx3yVMtFkvbWKfaFiwr94yNZ2KfYJqNZh7+MpX6ZmO7XjcuchwBbgGUN5WzrWCb5HFelPLTcLx1E6OgU5G1G+3aqGvxd/NXLA6V9uPr6sukmNbxuFMOMB4nNUN/BW5+UJ4JJy8cZ12ZvRKTxcSAoAHE+8UrFqK9SS+u4W8rRQ2xP0xPJDlCGRF8KdAIGlvSSLHxzrpScawIYMyjysQAbMrfREVTBcHuwYyPHK9YHCodw5o0+jbzW+fvCg5LFpPNFnNb8a+V9PJ0m1uyOpYsPxqNwGvzBxLo6cLJklpeWtU+3Unr++/6M+upbWlfJ5tdsVjEwhjA8PvAxVP+GFoLcVvzRa1DVR/Y/qiJNBWV83DRujAzTvxDufzUcqXDkZ5+N0FAPDRWwIF/X/K01NJUCuoK8NB52LRfVORBoxF4bd5AQn1cOX2unr/8cLxdr9Nr9LaNsGL38q63xY1pwmQIH6BICM2mZptIu7qJ6FpYf1+rclbRaGxUOhxpcfUWN9sA218TN+GtRQxrIsaZihiNLSYeWXKIFqOZaxND+NWYWKVDsjs3JNyARtBw4OwBcqtz5Q9g97tgbILIYRAzRv71W/nm1DfQ+mDrTGPJzo7V3Tq3JpfU0lSlw5GecU+Kn9OWQE2R7cvWbjRroV1FfkK83Xht/kAAPtt9hjXHiq/4mgFBA+jp25MmUxOrc1bLEOXPyNkGxWmgc2/7264AP2T9gNFiZEDwAHr591IsDmdFTaSpqPyMub3nArA5fzPnGs4pHY60aHUwrlUrbdfb0NJw0dOs3WhTY6fioe+6bmpdlUAvV95ckIJGgOWpBSw/WNCu183tJd7LOwp3UFx35Y2HXaktgbQvxOOxT8i79nlsyttETUsNYZ5hjAwfqVgcKh1neNhwIrwiqDPU2RxXnZoR94PeQxS8Pr0JgINnD5JdnY27zp0ZcTOUjtBuvPDTCbJK6wj2duWfNw9wSt3CMM8wxvQQE1hWoWfZaKyE/a3FsXG/VcwpLr8mnz3FexAQ1EJGF8NT72l7z7EmQ52a6JEQPRrMBjEJbS3E5TivW3JXYmKfEH4zXuzI/t03R8ivuPjzipWfa63KjtXkJeU28AySf/2fFeJu7nWzIjE4O2oiTUXlZ/T2782g4EGYLCb5N79KMGA++EWLrjIHP/3FtxsMDazNXQtO1hHR1RgZH8jj1/UG4M8/HCOr9NKjuFaifaIZHjYcCxb57+U974GpBaJGQIxyLoPWTcQNCTeg1WgVi0Ol42gETVtXZWY36BD2DIQhd4nHraLXX50SzQdmxM3Ay8VLyejsxqqjxSzZl4cgwOJbBhHo5byaLdZixg9ZP8irVbnvY9GVO6SfOLKmENZ/t6MjRhPhpYxjqErnubm3+PC9Lncd1c3VSocjPdai34FPoKHC9nOHeoQyKnyU0tF1e56a2odBUX7UNBl5dOkhDKbLO3JaHeyPlR/jVOUp2eKkKA1ObwRBA6Mflm/dn7G/ZD95tXl46j2ZGqvc3wFnRk2kqahchHl95kHrSJzTmw5o9TC2taV955tguNBhbGPeRhqMDUR6RTI4ZLAyMaoA8NA1CYzuGUhDi4mHv0xtl+iq9UHu28xv5buXG6tg/3/E47FPKNYNUVhXyJ7iPQDM6akmgbsi1vG4g2cPKjMeJzejHgaNHnK3U356o02o3vo3qauTX9HAH5YfAeD+CT0Zk6BMpV4uxkeNl1+rsqUe9r4vHo97UnTpVgCDyWAr4Mzr5Rz3b3ejX2A/EgMSaTG38FP2T+14RRen12QI7Q+Getj3L74+9TW0JhTVQpzy6LUa3l6YgrebjkN5Vby27vLJsUD3QCZGTQS5u9K2vyZ+Tr4Z/JWTLfgmU+wknRE3Q50mkgg1kaaichGmxEzBx8WHovoidhXtUjoc6Rm0CHwioa4EDv3vgm9ZO3pmJ8x2yvGbroRWI7D4lkEEeYmiqy/+dGU3w0kxk/Bz9eNsw1l2Fu2UJU72W7sh+iraDWG9d0eEjyDSO1KxOFQ6T5hnGKN7iB2Niom2y4lvBAy8BYAfdr+M0WwkOTCZfoH9lI7sqjGYRNe1miYjg6L8eHJyb6VDkhy9Rm/r5Jbt/k39DBrKxQe4vsqNo20p2EJFUwVB7kGMj1JNBroigiDYinHfnPrG+U0HBAHGisZIpw5+xKHSQ+gEne3/gYryRAV48I+5oubuB1tPsyWj9LLnW8c7f8z+kWZTs/QBnsuA9FanWwVlTaqaqmySGFbJIhX7oybSVFQugpvOjdk9ZwPYKlJOjc7Vtnlgx2IwtgCQXZ3NgbMHRAeyBNW23hEI8XHjjVsGIQjwxd48fjpSdNnzXbWuXN/zepBL56SlAfa0dkOMfULRbgirycK83mo3RFdmfu/50KozJctGWGnGPI4Zga+bRC3E+X3mKx2RXXh1bQZp+VX4uOl4e2EKem332ILelCBqg+0o3EFJfYm0ixlbYOdb4vGYx0UdVIWwmQwk3Iheo1csDpWrY2b8TNy0bmRVZXH43GGlw5GevjeAfxxfuYgd/NdEX0OwR7DSUamcx/T+4dw+MgaA3351mLM1TZc8d0yPMYR5hlHdXM263HXSB7fjDcACibMgtK/0612Cn7J/wmA2kBiQSN8A5eJwdrrHLkZFpRNYH763FmyVfvPrCKTcDl5hUFMAh7+E8zbC4yPHE+YZpnCAKlbG9QrmwYk9AXhm+VHOlNdf9nyryOi2gm2crT8rbXCHPoeGMlF3r59y4tLrz6ynvKmcEPcQro2+VrE4VK6ecZHjCPUIpaq5yjbq6NQE9WJ3n4kU6PV4o2Va3DSlI7pqNp8s5cNt2QD84+aBRAV0nzGTWN9YhoQOwWwx2xwAJePIUqgtEv+WD1ok7VqXoaC2wNbNr5oMdG28Xbxt70HdwnRAq6N+5AP86OUJwC0J6v3riDw7M4mkcB/K61t4fGkaJvPFuyW1Gq1tD/xVxlfSBlWZC0da1xj3W2nXugwWi8WmTzm311x1mkhC1ESaisoliPeLt21+FXF8kRu9G4x5TDze/jpNzbU2t061o8fxeOK63gyN8ae22cjDXx6i2Xhp/bN4v3gGhwzGZDHZNBMkwWQQ3V8BRj+qaDfE0oyl0KptonZDdG10Gp1N9FryjbCD8JWvHwCza6pxr5U4+S0xxdWNPPlVGgB3jY5lWnL3K8qcPx5nNBulWcRssplUMPoRsdNcIaxjrKN7jFbH6p0A6/vvmtw13cJ0YKW3Fw0aDbEtBoaX5igdjspFcNNreWdRCh4uWnZnl/Pu5qxLnntTr5vQCTrSzqWRUZEhXVA73wSLCXpeCxHKaUofPneYrKos3LRuzIyfqVgc3QE1kaaichmsCaRvMiXc/DoSQ+4Cz2CoOsP6nS9R01JDD88ejOkxRunIVH6GTqvhrYUp+HnoOVpYzd9Xn7zs+QuTFgLwdcbXGEwSuccdWw7VeeI9lHKbNGu0g4yKDJu2ifUBQKVrc1Ovm9AKWg6VHpLXfUsBSupL2FomJp7m1dS0Jae7IEaTmceWpFHZYCA5wodnZiQqHZIiTImdgr+rP2cbzrI1f6s0i5z4Hiqywd2/zf1VAQzmNpMB9f3XORgQNICkgCSaTc1OX1i2WCwsyxITwfNr6xB2vgnmy7tDqihDz2AvXpyTDMDiDafYm11+0fOCPYK5JvoakLIYV1MsTmSgbDca5/2MU2Kn4O3irWgszo6kibTKykpuv/12fH198fX15fbbb6eqquqS5xsMBn7/+9/Tv39/PD096dGjB3fccQdFRRdqAE2cOBFBEC74WLBggZQ/iko3ZXLMZALcAihtKGVT3ialw5EeFw+xkg18lbMSWkUqVbcix6SHnzuv3jwQgE925rLmWPElz50UPYlg92DKm8rZkLfB/sGYzaK+HsDIB0Dvbv812smSk0ug1WhB1TZxDkI82kZ0nb0r7bvM7zBZTAzxTaCnwShuzusuL6jsqLy1MZN9uRV4uep4Z+FgXHXd82+Jq9bVNuK4JGOJ/RewWGB7azfaiAfA1cv+a7STrflbKWssI9CtzTFPpWsjCAILE8Vi3NKMpU7tZn/43GFOVZ7CTevKbIMGyjPhZDdwLO2izB0SyU2DIzBb4LGlaVTUt1z0vFv6iCY+P2X/RL3h8nIonWL3O2BqgaiREKNc80F5YzlrctcA2P7NqkiHpIm0RYsWkZaWxpo1a1izZg1paWncfvvtlzy/oaGB1NRU/vznP5Oamsq3337LqVOnmD179i/OvffeeykuLrZ9fPjhh1L+KCrdFBeti20k48uTXyodjjwMvZtM7yDSdBZ0qCYDjs51fUO5b3w8AE9/fYTcsotvEPQava07YOnJpfYP5NQaOJcOrj4w7B77X7+d1LTUsCpnFZy3cVJxDqyi+z+e/pHallqlw5EEo9loG7+eP+AeiBwGxibY857SoXWYnVllvN06bvPSTf2JDfJUOiRFmd9nPhpBw97ivWRXZ9v34pnr4exRcPGC4ffa99odxLpXurGXajLgTEyPm46vqy+FdYVsL9yudDiSYS3UTIubju+w+8Qv7nhdTFarOCQvzkkmPtiTkpomnvr68EXdZYeHDSfWJ5YGYwMrTq+wbwANFXDgE/F4/FOi+6tCLM9cjsFsYEDQAJKDkhWLo7sgWSItPT2dNWvW8PHHHzNq1ChGjRrFv/71L3766ScyMi4+n+zr68v69euZP38+ffr0YeTIkbz99tscPHiQvLy8C8718PAgLCzM9uHr6yvVj6LSzZnfZz5aQcvBswelna13FFy9+DpenO2/xgDBboFKR6RyBZ6e2odhsaJe2gNfpNJkuHi1+ObeN6MTdKSWptr3XrZYxI0mwNBfg5ty78crslbQaGwkwS+BoaFDFYtDxf6MCBtBvG88DcYGm36js7GtYBulDaX4u/pzXcxkGPuk+I39/4amrqNNdK62mceWpmGxwMLhUcwe2EPpkBSnh1cPxkeOB2DZyWX2u7DFAttfFY+H/go8Aux37Q6SUZHB/pL9aAWtWshwMtx0bjYHWmvXt7NR1VTF2ty1YC3EjbgfdO5QdAhOb1Q6PJVL4Nna8eyi07DpZCn/3vFLXTtBEFiQKE6vfZn+JWaLHcd197wPhnoIGwAJ19nvuh3EaDayLEP822L9WVWkRbJE2u7du/H19WXEiBG2r40cORJfX1927drV7utUV1cjCAJ+fn4XfP2LL74gKCiIfv368dRTT1Fb65zVaRXlCfMMY1L0JHDizcP5NBga+LExH4Cby0og3TkfWJ0JvVbD2wsHE+jpQnpxDc+tOH7R80I8QpgUI8G9nLsdCvaD1hVGPmi/63YQs8Xctonos0B1KnIyBEHg1qRbobXrxa4bYQfB2i16Q8INuGhdoPc0COkLzTWw9yOlw2sXZrOFJ79Ko6yumT6h3vxlVj+lQ3IYFvYRR21WnF5hv/GiM7sgfy9oXWDUw/a5ZiexjdVHT1Kdvp2Q+X3mIyCwq2gXOdXOJ8L/fdb3tJhbSApIol9gP/AMgmF3i9/c8oralebA9O3hw59nJgHwypqTHM7/pZTUDQk34Kn3JLcml91Fu+2zcFMN7Gudihv3W0W70Tbnb6a0oZQAtwCmxk5VLI7uhGSJtJKSEkJCQn7x9ZCQEEpKStp1jaamJv7whz+waNEifHx8bF+/9dZbWbJkCVu2bOHPf/4zy5cv56abLm1P3NzcTE1NzQUfKiodwTpnvjJ7pdM7Fq3NXUudoZ5InRcjm5pg6z9VodUuQJivG28uSEEQYOn+fL45WHDR8xb0EatUq3JW2e9e3voP8fPgO8A71D7X7AR7iveQW5OLp96TWT1nKRaHinTMip+Ft96b/Np8thc413hRZmUmu4t3oxE03JLY2s2j0bQJF+95F5odv2j4/tbTbM8sw73VVc3dpXvqol2MkT1GEusTS52hju+zvrfPRbe/Jn5OuQ28lUteVTVV8VO2qCVlTXirOBeR3pFMiJwAYCtaOQtGs9E2lrwg8bxC3OhHQOcGBfsge4uyQapclttGxjA9OQyDycLDS1KpabrQWMtT72mTq/ki/Qv7LHqgtVs8qDck/VKKSk6+TBfv37m95oqFOBXJ6XAi7bnnnvuF0P/PPw4cOACt1eOfY7FY2tUlYDAYWLBgAWazmffeu1Ab5N577+W6664jOTmZBQsW8M0337BhwwZSU1Mveq2XX37ZZnjg6+tLVFRUR39slW7OkNAh9PbvTZOpyX6bXwfl61NfAzCv721oXLyh9DhkrFI6LJV2MLZXEE9c1xuAP31/lJMlvywaWO/lRmOj7Xd9VeTuFDvSNHoY+/jVX+8qsHbzzO45G09999ZjclY89B420Xa7bYQdhM/TRcevSdGTiPCKaPtGvxshMAEaK2H/x8oF2A7251bw+nrRVfWFOf3oFao6hp2PRtBwW5LoaPz5ic+vXrTdOnImaGH0o/YJspMsz1xOs6mZpIAkUkJSFI1FRTqsheXvs76nrqVO6XDsxsa8jRTXFxPgFsDM+Jlt3/AOa3PB3ap2pTkygiDw97kDiPR3J7+ikWe+PfoLvbSFiQsRENheuJ3c6tyrW9DQCLvfFY/HPikWvhTiRPkJDpw9gE7Q2fRkVaSnw7/xhx9+mPT09Mt+JCcnExYWxtmzZ3/x+nPnzhEaevmOBYPBwPz588nJyWH9+vUXdKNdjMGDB6PX68nMzLzo95955hmqq6ttH/n5+R38qVW6O4IgsChxEbSOLjirY1F6eTpHy46i0+iYk7gARrQKrW77h7p56CI8fE0C43sH02Qw88DnqdT+rCInCAJ39rsTWqtXBpPhEldqJ9tau9FSbgPfyKu71lWQV5PHlnyxWmztulNxThYmLUQjaNhdvJusyiylw7EL5Y3l/HRa7Oa5ve/PTJk0Whj3lHi86x1okcBxzA5U1rfw6JJDmMwWbkqJ4OYhyr0fODLX97weHxcfCuoKbO9ZncbaDdz/ZgiIs0t8ncFgNrA0QyxkLEpapI7VOzEje4wkzjeOekM9yzOXKx2O3fjsxGfQOr7qqnW98JtjHhNHp/N2Q+4OZQJUaRe+7nreXpiCTiOw8kgxX+y9UGM92ifaplV51SZyqZ9B/TnwixbfgxXEev9OiZ2ijtXLSIcTaUFBQSQmJl72w83NjVGjRlFdXc2+fftsr927dy/V1dWMHj36kte3JtEyMzPZsGEDgYFXFjo/fvw4BoOB8PDwi37f1dUVHx+fCz5UVDrKjPgZ+Lj4UFhXyJYC52zvtv5RmRw9mUD3QBj5EOg9ofgwnFqrdHgq7UCjEVh8yyDCfd3IKavnD8t/WZGbHjudEPcQzjWeszlcdor81lEHjQ7GPnH1wV8F/zvxPyxYGBcxjni/eEVjUZGWCK8Irom6Bs7bPHZ1vjr1FS3mFpIDkxkUPOiXJ/SfB/6x0FDW5g7mQJjNFp76+jDF1U3EB3ny4g3JajLlEnjoPWwdA1d1/xYfbu0WF9oSrQqxJmcNJfUlBLoFMj1uuqKxqEiLRtBwZ1+xGPdF+hcYzFdZjHMADp87zJFzR9Br9Bc3yfDpIUpX0NqVpuLQpET787tpfQB44ccTHCu8UMbEOnr+fdb3VDX9UkutXRhbYOeb4vGYx0CrnENxSX0Ja3PEZ7Q7+t2hWBzdEcl6EJOSkpg2bRr33nsve/bsYc+ePdx7773MmjWLPn362M5LTEzku+++A8BoNHLzzTdz4MABvvjiC0wmEyUlJZSUlNDS0gLA6dOneeGFFzhw4AC5ubmsWrWKefPmkZKSwpgxY6T6cVRUcNe5M6/3PAA+O+4cD2/nU95YzsrslQDc2rdV38QzEIbfIx5v/j9VK62LEODpwru3DhYrckeL+e+uC9vX9Vo9i5LEDsv/nvjvRa3C24W1G2LgQvCPueq4O0tVU5Vt5PqufncpFoeKfFh/zz9m/0hpQ6nS4VwVLaYWm4vj7X1vv3gCSqtrS5bsfFMcKXEgPtyWzcaTpbjoNLyzaDCerjqlQ3JoFvRZYHNQPl52cXOYK2J9/02eC8G97RpfR7BYLHx6/FNo7Ub7RTePitMxq+csAtwCKK4vZn3ueqXDuWr+d+J/AMyIm0GQe9DFTxr7hChhkbtdNPhQcWjuHRfPdUkhtJjMPPDFQaob2xK+I8NHkhiQSKOxsfNaf4eXQE0heIXBoNvsF3gn+DL9S4wWI0NDh4omGSqyIekw7xdffEH//v2ZMmUKU6ZMYcCAAfzvf/+74JyMjAyqq8VMcUFBAStWrKCgoIBBgwYRHh5u+7A6fbq4uLBx40amTp1Knz59ePTRR5kyZQobNmxAq1UFbVWkZVHSInQacfN79NxRpcOxK1+f+hqD2UD/oP4MDB7Y9o0xj4OLN5QcgfQVSoao0gEGR/vzxxmig9H/rUrnUF7lBd+f12ceHjoPUeC8M+5FhQcha72ozTPuSXuF3SmWZSyjydREUkASw8KGKRqLijwMChlESkgKRrOxy2ul/XD6B8qbygn1CGVy7ORLnzhwAfhGQ30pHPyvnCFelj3Z5by6LgOA52f3o28Ptev/SoR6hjItbhoAnxzvRIdhyVE4+ZPYjTbhd/YPsAPsLtrNqcpTuOvcL97No+J0uGpdbVppnx7/tPPFOAcgryaP9WfEZOAvxurPxzdSlLDgvCS2isMiCAKvzRtk00t7+uvDtvtUEAR+1e9X0DqJ02Rs6tjFjS2w7VXxeMyjoHeze/ztpd5QzzenvgGwybaoyIekibSAgAA+//xzm1Pm559/jp+f3wXnWCwW7rpLrCzHxsZisVgu+jFx4kQAoqKi2Lp1K+Xl5TQ3N5OVlcWbb75JQECAlD+KigoAIR4hzIibAa2dPM5Ci6nFVpWxCiHb8AiAUQ+Jx5tfAifVh3NGfjUmlhn9RQejh75IpbK+xfY9Hxcfm2i7tZugQ2z9p/h5wHwIUG6UstnUbBtJvrPfneo4WTfCuhH+KuOrLit6bTQb+eSYmEi5s9+d6DWXGQ/R6tuS1jsXg6GDm38JKK1t4hGrLtrgCBYMU82c2ou1q3Jd7rqOi15bx8v63QjBfa50tqRYE4Fze83F19VX0VhU5OOWPrfgpnUjvSKdfSX72vEKx+ST459gtpgZGzGWPgFX+Lc09glRyiJ7syhtoeLQ+Hroee/WwbhoNaw7cZaPt+fYvjcldgo9PHtQ0VTBitMdbBI4/CVU54FXKAz9tf0D7wDfnPqGWkMtsT6xNu03FflQzl5CRaWLckdfcf58/Zn1FNYVKh2OXVibu5ayxjJC3EMu3hEx6kFw84OyDDhqB6dHFVkQBIFX5g4gLsiTouomnvgqDbO5rXJ8W9/bbKLt6eXp7b9w8WE4tRoEDYz7rTTBt5PvMr+joqmCMM8wpsROUTQWFXmZEDWBON846gx1topsV2P9mfXk1+bj5+rH3F5zr/yCQYvAJwJqiyHtczlCvCQms4XHlqRxrraZ3qFe/E3VResQfQL6MCFyAhYsHetKKzkG6T86RDdaenk6e4r3oBW0l+/mUXE6/N38uSHhBgD+dfRfSofTKUobSvkh6wcA7ul/z5Vf4B8jSlmgaqV1FQZE+vHnWeJ0xt/XnORAbgUAOo3Opif23+P/bb+JnLEFtr0mHo95HPTuEkV+ZZpNzbZC+K+Tf41GUNM6cqP+H1dR6SB9AvowKnwUZovZKbTSLBaLTfB4YdLCi3dEuPnC2MfF4y0vw9U6ParIhrebWJFz1WnYknGO97a0uRxGeEUwNXYqdHQjfL42T1Avu8fcXgxmA/859h9o3URctptHxenQCBpbV89nJz7r+HiGwlgsFv599N/QKhvgofe48ot0rm3GHtvfEDf1CvHG+lPszi7H00XLe7cOwcNF1UXrKNaH9xWnV1BSX9K+F1mdkvvOgZAkCaO7Mh8d+QiAqbFT6eHVQ9FYVOTn18m/Rifo2Fu8l8PnDisdTof5/MTnGMwGUkJSGBI6pH0vGvekKGmRtQEKDkodoooduG1kDNcP7IHJbOHhLw9RXtcMwI0JN+Lr6ktebR7rzqxr38XSvjivG+1X0gZ+Bb7L/I6yxjLCPMOYFT9L0Vi6K2oiTUWlE/wqWXzz/DbzW8oby5UO56rYVbSLkxUncde5c3Ovy9g3D78PPEOgMhcO/e/S56k4HEnhPrx4QzIAr68/xa6sMtv37ut/H7R2xmRVZl3yGjZKjrVp8yjsFPfT6Z8ori8m0C2QGxNuVDQWFWW4Pv56wjzDONd4juWZy5UOp0NsL9xORmUGHjoPFiUuav8LU24XBY5rChTrStt8spR3NovvFy/PHUBCiJcicXR1BoUMYmjoUIxmI/893g65iLMn4ITYQaN0N9qpylNsyNuAgMB9A+5TNBYVZQj3Cuf6ntcD8K8jXasrrbq52iZpcnfy3e1/YUA8DGjVAtymaqV1BQRB4OWb+hMf7ElJTROPL0vDZLbgofewydl8ePhDzJYrGKoZW2B7azfa2CcU7UYzmA02WYhf9fsVegVdQ7szaiJNRaUTjAwfSf+g/jSZmvg8XdnxmqvF2tEzt9dc/Nz8Ln2ii2fbGN/WfzqEPo9K+5k/NIr5QyMxW+DRpYc4WyP+/hL8E5gcI47zfnT0oytfaFurNlq/GyAkUdKYL4fJbOLjox9Dq9aQm045sVcV5dBr9dyTLHb1/Ofof2g2NSsdUruwWCx8cPgDAOb1ntcxbSm9W5tW2rZXZX8vLqxq5Imv0gC4Y1QMsweqnUhXg7Ur7ZtT31DWWHb5k60P7kmzIVRZd7YPD38IrVpDPf16KhqLinLc3f9uNIKGrQVbOyYRoTD/Pf5fGowN9Pbv3XFtqXG/FaUtTq2BojSpQlSxI16uOt6/dQhueg3bM8t4Z5NYCLo16Va8Xbw5XX36yl1paV9Adb7YjTZEWYf4ldkrKaovItAt0KZ3rCI/aiJNRaUTCIJg2/wuPbmUmpYapUPqFMfKjrGvZB86Qdc+t5ehvwKfSKgtggP/kSNEFTvywpxkEsO8Katr4ZEvD2EwidU3azfB2ty15FTnXPoCpSfbuiHGPy1LzJdiVc4q8mrz8HX1ZX6f+YrGoqIsN/a6kVCPUEobS1l+qmt0pW0r2MbRsqO469y5K7kTG/LBd4paaTWFcLATZiGdpMVo5sEvUqlqMDAw0pdnZyo7WugMjO4xmgFBA2gyNdlGfS9K6Uk4/r14POH3ssV3MbIqs2xOh2o3WvcmxieGqTGiRMT7h99XOpx2UdlUaXN7fnDQgx3XdgxKgOTWCQ7VwbPL0CfMm7/d0B+AxRtPsSOzDG8Xb25PEvUdL9uV5mDdaNax+jv73akWkhVETaSpqHSSiVETSfBLoM5Qx9KTS5UOp1NYu9FmxM8gzDPsyi/QucKE1gTK9teguWs65XVX3PRa3r9tCF6uOvblVvD31ScBSAxIZGLkRMwWM++nXWYjvO2fgAUSZynaDWEwG3gv7T0A7ux7Z/u0pVScFhetC3f3F0dz/n3s3w7flWaxWHg37V0AFiQuIMg9qOMX0bvB+NbR6u2vQUuDnaO8OC+tSudwfhW+7nreWTQYV51WlnWdGUEQeChFdMZelrHs0lppm/9PfP9Nuh7CkuUN8md8dOQjLFi4Lvo6evv3VjQWFeW5f+D9aAQNm/M3c/TcUaXDuSKfHP+EBmMDSQFJXBt1becuMv5psSstYyUUpto7RBWJuHlIJLcMjcJigcdapzNu7Xsr3npvsqraCgS/IO3z1m60MMW70b7P+p782nwC3AK4pc8tisbS3VETaSoqnUQjaGxdaZ+d+Iy6lq6VVDpddZoNZzZA63x9uxl0K/jHQUMZ7PtQugBVJCEuyJNX5w0E4N87cvghTXSetT7Irc5dzcmKk7984dkTcKy120dhbZ7vs76noK6AALcAbk26VdFYVByDm3rdRIhHCKUNpSw7uUzpcC7LxryNpFek46n35Nf9ft35Cw26Dfyiob4U9n9szxAvysojxXy6KxeA1+cPJCpATWDbi1HhoxgSOgSD2XBxramiNEhfIWpTXvOsEiHaOFF+gtW5qwH4zcDfKBqLimMQ7xdvEzt/69BbSodzWcoby23F74cGPdR5p+Hg3m1aaZv+ZscIVaTm+Tn9SAzzprxenM7w0Hpxa19xL/nOoXcwmo0XvuB8p06Fu9GajE02WYj7BtynFpIVRk2kqahcBVNjpxLrE0t1c3WX00r74PAHWLBwbdS1JPgntP+FWj1c80fxeOeb0FglWYwqPeZPEgAAW/dJREFU0jAtOYyHrhE1bX6//AjpxTUkBiQyPW46AG+lXmQjvOWl1m6I2RA+UO6QbaibCJWL4ap15cGBD0Kr1p+jjtubzCZbN9ptSbddXpfySuhc2kb8di6G5lo7RflLTp+r43ffiK58D0zsyaSkUMnW6o4IgsDDgx6GVhOj/Nr8C0/Y/H/i5/7zFHfqXHxwMQAz4maQGKCcTqaKY/HAwAfQaXTsKd7DvuJ9SodzST488iGNxkb6B/XvuDbaz5nwe9Do4PRGOLPLXiGqSMzPpzP+uS6DO/regZ+rH7k1uXyb+e2FL0j9r2ju4xUGQ9ohgyMhyzKWUdpQSphnGPN6z1M0FhU1kaaiclXoNDoeHCQ+vH12/DOqm6uVDqldZFVmsTZ3LbTqQ3SY5LkQnAhN1bD7HfsHqCI5T07uw7heQTQZzNz/+UGqGww8POhhdIKO7YXbOXj2PFv3ojRI/7G1G+KPSobN0pNL1U2EykWZkzCHeN94qpurL681pSDfZX1HVlUWPi4+3NHvjqu/4IAFENATGsphrzQdwo0tJh78PJX6FhMj4gL47WR1lE8KhoYNZXSP0RgtRt5OfbvtG3l7IXMdCFqY+AclQ2RX0S52F+9Gp9HxSMojisai4lhEekfanN8Xpy6+sgOiAuRU5/B1xtcAPDb4sc53o1kJiBNdlGntSrNY7BClihzEBXnyj5sHAPDh1mx2nqrn/oH3Q6vWX4OhVS6hpb5NB2/C04p2o9W21NpMth4c+CAuWhfFYlERURNpKipXydTYqST4JVBrqOWzE58pHU67eP/w+1iwMDlmMn0C+nT8Ahpt23jJnveh/gpOYyoOh1Yj8NaCFCL93TlT3sDjyw4R6RVlc/957cBrbRvhzS+JnxXuhqhoqrAJrKqbCJWfo9PoeGLIEwB8kf7FpbWmFKKupY63D4kJkgcGPoCPi8/VX1Sra0uu7HpbLG7YEYvFwrPfHyXjbC1BXq68vTAFnVbdOkrFE0OeQEBgde5q0krTxAfzTS+K30y5FQKVc8c0W8y2brQFfRYQ6R2pWCwqjslvBv4GD50HR8uOsipnldLh/ILFBxdjtBiZEDmBEeEj7HPR8U+D1hXO7ITszfa5pooszOgfzq/HxAHw1NeHGRIwg0ivSMoay9qe5/Z9JMon+MVAih2KX1fBR0c+oqq5ilifWK7veb2isaiIqLshFZWrRCNoeGiQqC/1+YnPqWiqUDqky3Kq8pTN4tlafekUSdeLI34tdW1ONipdCn9PFz64bQiuOg2bM87x5sZMHhj0AJ56T46WHeXH0z9C/j7IXOsQ3RDvpb1HraGWpIAkZvecrWgsKo7JhMgJDA4ZTLOp2Za0chT+fezfVDRVEOMTY1+BYFuHcBXsfs9+1wU+33OGb1ML0Qjw1sJBhPio7mBSkhiQaCtmvLLvFczZmyF3O2hdYLyy2pQrTq+wafupTp0qFyPIPYh7B9wLwBsH32jr6nEADpQcYFP+JrSClieHPGm/C/tGwDDR7IaNL6pdaV2MZ2YkMjw2gLpmIw9/cYT7+ovPc58c+4TSiizYIRYPuOaPopyCQuRW59okhH437HfoNDrFYlFpQ02kqajYgUnRk+gb2JcGY8PlXQ8dgDdT3wRgSsyUq3PbEgSY9BfxeN+/oDLXThGqyElyhC8v3yTagb+5MZO0HBO/GSAKSC9OXUz9phfEEwctUrQb4lTlKb4+JY5k/G7Y79BqVLdAlV8iCAJPDX0KAYEVp1dcOKKsIIV1hXx2XKxw/3bIb9Fr9fa7uEYLE58Rj3e/Cw32KeYcPFPBCz+dAOD30xIZ3bMT7qIqHebhlIfx1HtyrPwYK7f8SfzikF+BX5RiMVU3V/PGwTegVZvS381fsVhUHJvb+95OhFcEpQ2lfHL8E6XDAcBoNvLK/lcAmNtrLvF+8fZdYOwToPeAolTIWG3fa6tIil6r4Z1bUwj1cSWrtI61e0PpH9SfBmMDr254VCxQBSeJExkK8s8D/8RoNjIuYhzjIscpGotKG2oiTUXFDgiCwG+H/BaAr099TXZ1ttIhXZR9xfvYVrANnWAnfZOekyB+IpgNqmtRF+amwZHcOSoGgCeWpTEm5EZifGIoayzjw6qjoNEr6tRpsVjE7gyLmckxkxkaNlSxWFQcn/7B/Znbey4Af9vzNwxmg6LxWCwWXt77Mi3mFkaEjWBi1ET7L5I0G8L6Q0utXTqES2ubeODzVAwmCzP6h3HfeDs/eKpckiD3IO7tL3b1vE4VNXoPGPdbRWN659A7VDRVEO8bz+1Jtysai4pj46p1tXV8fXLsk18aZyjAkpNLOFlxEh8XH5tDuV3xCoERrRMem/8PzI6nD6dyaUK83Xjv1iHotQJrjpeSpL8LDRpWN+azx80Vrv2TWLBSiO0F223Pbr8bpmxnssqFqIk0FRU7MTx8OBOjJmKymHj9wOtKh/MLzBYzrx54FYCbe99MrG/s1V9UEOC658Xjo1+LovQqXZJnZ/ZlaIw/tc1GHv7iMI8MFLWm/ufrTcbAm8AvWrHYvs/6nn0l+3DTutl3JEPFaXks5TH8XP3Iqsriy/QvFY1l7Zm1bC3Yik6j45kRz1y9wPXF0Ghg0nPi8b6PoCqv05cymMw8/MUhSmubSQjx4h83D5QmZpVLclviImLNGsp0Wt7oPRS8lXNJPVF+gq9OfQXAsyOetW83pYpTMjlmMiPCRtBsauaF3S9gUXDcsaS+hHcOiaZYTwx5ggC3AGkWGv0IuPrA2WNw/Nt2vEDFkRgS489fr+8HwCebDczUhAPwUmgPDL2mKBZXg6GB/9srujbfmnSrfZ7dVOyGmkhTUbEjTw55Ep2gY2vBVvYU71E6nAtYmb3Spm/ywKAH7HfhHoPaWp7X/0XVh+iiuOg0vHfrYIK9XTl1to7TGzK4rr4BoyDwV8oxmo2KxFXWWGZLAD806CFV4FqlXfi5+dmSru+lvUdhXaEicVQ3V/P3vX8H4J7+99DTT8Lx6IRJEDsOTC2w+eVOX+alVensy63Ay1XHh7cPwctV1WKRG9f0n/jr2WIAvmnIZX/JfkXiMJgNPL/7ecwWM9PjpjM8fLgicah0LQRB4C+j/oKr1pU9xXtYcXqFInFYu9kbjA0MDB5o0x+UBI8AGP2oeLzpRTC2SLeWiiTcOiKam4dEEmYp48mcAwSYTORoTHx8XDkX8DdT36SwrpAenj14cNCDisWhcnHURJqKih2J841jXh8xqfTy3pcxmJQdKbJSb6hncaoomHlP/3vsX5G79k+iGHLOVji90b7XVpGNEB833r91MC4aC9cUvMcfyyvwFvQcrzrF5yc+VySmV/a9Qk1LDUkBSdzW9zZFYlDpmsxJmMPgkME0GBt4dsezmMwm2WN4/eDrlDeVE+cbZxvXkwxBgMmtHcKHl8DZ4x2+xA9phXyyU9S7fG3+QHoGe9k7SpUrYWyGjS8wtKmZed6ijunzu5+nydgkeyj/OvIvTpSfwNfVl6eHPi37+ipdl2ifaNuD/z/2/4OyRvnd3VfmrGRD3ga0gpY/j/wzGkHix95RD4JXmKgZfOA/0q6lYncEQeBvNyTzV9+fCDIbWFDlDcBHhz/ieHnH/55eLYdKD7Hk5BIA/jr6r3joPWSPQeXyqIk0FRU789CghwhwCyC7OptPj3+qdDjQ2pFR2lBKpFcktyVJkIzwj4VhrQ+J659T9SG6MENjA/jP4GySNPm4GN2YGyO6s72T9g6ZlZmyxvJT9k+syV2DVtDy3OjnVJcilQ6hETT8bczfcNe5c/DsQf534n+yrr/hzAa+zRRHfP466q+4aGVw/IoYAn1vACyw4fkOvTS9uIbfLz8CwEPX9GRqvzCJglS5LPv+BdV54B3OE1PeJ9g9mDM1Z3j9oLySEcfKjvHRkY8A+NOIPxHsESzr+ipdnzv63kFSQBI1LTX8aeefMFvk2xsW1xXz0p6XoNWhvk9AH+kXdfFsczff+go0VUu/popdcavMZEqL2BCw7twthGmHY7QY+eP2P8pazGgwNPCXnX/BgoUbE25kdI/Rsq2t0n7URJqKip3xdfXl6WFi5fbDIx+SX6Os0GpGRQZfpH8BwLMjn8VN5ybNQuOfAldfOHsUjn4lzRoq0mNoYkzehwC8Z5zD/7bGMSR4FM2mZn637Xc0GhtlCSO/Np+/7RENLH4z8Df0Dewry7oqzkWUTxS/H/Z7AN469BYZFRmyrFtUV8Rfdomuxr9K/hVDQofIsi4guikLWshcC7k72vWS6gYD939+kCaDmXG9gnhysgwPnSq/pLEStv1TPL7mj3h7hfDCGNE5ecnJJWw4s0GWMBoMDTyz/RlMFhPTY6czLW6aLOuqOBc6jY6Xxr6Eq9aVnYU7ZStmmMwmnt35LLWGWgYED+Ce/vfIsi4AKbdDUG9orICdb8q3rop92PBXBIuJssjJHKYPWelT8dT6kV2dzZup8vw+LRYLL+x5gdyaXEI8Qnhq2FOyrKvScdREmoqKBMyMm8mIcFFo9W97/6aY0KrZYubFPS9ispiYHDOZsRFjpVvMIwDGiQL1bHwRDPKPoajYgf3/QqgpwOLdgwOh86hqMFKYOYdAtyCyqrJ4Zd8rkodgMBn4w7Y/UG+oZ3DIYO7rf5/ka6o4Lzf1uomJkRMxmA08ueVJqpul7RIwmo38ftvvqW2pZUDQAPs4JHeEwJ4w5C7xeP1fr6hbaTJbeOKrNM6UNxDp785bC1LQalRzAUXY/jo0VUFwEgxcBMDYiLH8KvlXAPxl518k1/uzWCz8eeefya3JJdg9mGdHPivpeirOTYJ/gs1pcHHqYo6VHZN8zXfT3mV/yX7cde68PPZlebvZtTqY9FfxePd7UFMk39oqV0f2Vji1BjQ6gm74O09N7YPF5Ell3g0AfJ7+OWty1kgexvLM5azMXolW0PLP8f/Ex8VH8jVVOoeaSFNRkQBBEPjTiD/honFhV9EulmUsUySOz45/xuFzh/HQedi6MiRlxP3gEwE1BbDnXenXU7EvjVWwTRT2F659lnfuHE2QlyuZxRDa/CsEBJZnLreNq0mBxWLhxT0vcqTsCN4u3vx93N/RKmg7rtL1EQSB58c8T7hnOHm1efxu2+8kM8+wWCz8fd/fSTuXhpfei1fGv4Jeo4DL4YTfg94DCg9A+o+XPfX19RlsOlmKq07DB7cNwd9ThhFUlV9SlQd7xW5gJj8vPpC38kjKIwwIHkCtoZYnNj9Bg6FBsjD+fezfrDuzDp1Gx2sTX8PX1VeytVS6B/N6z2NyzGSMZiOPbX6Ms/VnJVtrbe5a/nX0XwD8ZdRfiPZRwHE8cSZEjQBjI2zpvPGLioyYzbDuT+Lx0LshKIEHJvRkar9QmmsS0ddeC8Cfd/5Z0s724+XHeXmveM88OvhRBocOlmwtlatHTaSpqEhErG8sTwwRO7ReO/AaOdU5sq6fUZHBW4feAuDpYU8T6hkq/aJ697ZK3PbXobZE+jVV7MeON87rhlhIuK87H94+BBethr0nAhnkPR+AF3e/yO6i3ZKE8N/j/+W7rO/QCBr+Pu7vhHuFS7KOSvciwC2At659C3edO7uKdvHGwTckWee/x//LsoxlCAj8bczflHOZ9Q6FUQ+Lxxufh0sY3/x4uIh3N58G4O9z+5McoSZNFGPT/4GpWXRe7TXlgm/pNXr+Mf4f+Lv6k16Rzm+3/haD2f5mRlvzt/JWqrhveGb4M6SEpNh9DZXuhyAIPD/6eXr69qS0oZRHNj0iSTL4RPkJ/rzzzwDc2fdOZsXPsvsa7UIQYPKL4vGhz6H0pDJxqLSfI8ug5Ai4+oiFqNb79tV5A+kZ7ElFwXV4mvrRZGri0U2PSmKekVeTx4MbHqTF3MKEyAnc1e8uu6+hYl/URJqKioQsSlrEqPBRNJma+MP2P8jm4tlsahbXMxuYGDWRub3myrIuAP3nQcRQaKkTRzxVugbVhbD3A/H4uuegtQtsSIw/f7sxGYBt+waR4n8tRouRJ7c8afeq3Oqc1TZB7d8N+x3jI8fb9foq3ZvEgEReHCO+J3124jM+OPyBXa+/Omc1rx18DVqLF5NiJtn1+h1m9CPgEQjlWRd1kDteVM3T3xwG4L7x8dyYolDSTwWKD4sPcrR2owm/HK2N8IrgnUnv4KZ1Y0fhDv62x76yEbuKdvHkliexYOHm3jczv898u11bRcXbxZt3Jr1DgFuALRncbGq22/VPVZ7iN+t/Q6OxkVHho3h8yON2u3aniB4BibPAYoYNzykbi8rlaWmATa3PK+N+C56Btm95u+n58PaheLm6UJI1F09NKEX1Rdy77l4qmirsFkJZYxm/Wf8bKpoqSAxI5O/j/i69y6zKVaP+hlRUJEQjaHhxzIv4uPhwovwEr+yXXl8K4B/7/kFWVRYBbgE8N+o5hItsyiVDo4FpfxeP076AokPyra3SeTa/BMYmiB4Nvade8K35Q/+/vfuOjqrc+jj+nfRCMkAKJBI6oYXeQYoICAiKDSmCIGADFBGvvVwLWF4Uu4IiCih6FVRAkKZIJ/QOoYYWEgippM7M+8fBcLlICJDkTDK/z1qz1pkzp+xRZnJmn+fZO4IH2lUDLERHd6VO2Uak5aTxwO8PsPN04bQEn3dwHs+seAYHDu6tfS8D6gwolOOK/Ldbqt7C2GZj4Xwdnc+3fl4ox50TM4dnVhjd2u6rex+D6g0qlONeF59AuOl8fas/xsO5Cxf9Z9KyePAbo7lAh8gQnu5ex7w4xahlhwOi7jI6r15Gw5CGvNPxHdwsbsyOmc3Lq18ulGnK606u47Flj5Ftz+amiJt4ruVz131Mkf9VKaASH3T+AG93b1YeX8nopaMLpYHRwaSDjFg0gqSsJKKCopjYaaJzdPm++WWj8cu+BXDoL7OjkctZ+wmkHAdrhFGi5n/UDC3DpHsbY3H4cWrfIMp4lGd/0n6GLxrO2cyz1336uPQ4RiwawbG0Y1QqU4lPu3xKGa8y131cKXpKpIkUsQr+FRh/43gsWPh+7/f8Z99/ivR83+/5nh/2/YAFC6+1e40g36AC7FXIIloYI9NwwMJnr1jsWkx2YrOR9ATo+uo/joZ4rmcd2tcKJiPHwvE9/ahbPoqU7BSGLxpOdFz0NZ/a4XAwa88snlvxHHaHnbtq3cVzrZ4r3uSvuJShUUMZ09QYrfDRlo94a/1b1zxNzuFw8NWOr3hp9UvYHXb61OzDuOZO1GGr6f0QWt+Ysn2+Vk92rp1HZm7ieFIG1YL9+VDNBcy173c4+Ae4eULnF6+4eaeITvy77b9xs7gxZ/8cnvjjietKRvx64FdGLh1Jli2LjpU6MrHjRDzdTajrJy6hUUgjPrn5E3w9fFlzcg0PL36YMxlnrvl4q0+s5r4F9+WN5Pms62cEeAUUaszXLCQSWgwzlhc+B3ab2RHJ/0qLN8qacL7jtafPP27WpV4FxnWrjSMnmNP7HsDqWZ6YszEMXjCYA0kHrvn0exP3MvC3gexP2k+Ibwifd/2cYN/gaz6eFC8l0kSKQceIjnmd28avG8+GuA1Fcp7ouGjeXG+MBnus6WPmTo3r8gp4+ELsGtj1s3lxSP4cDljwjJH0bNDXSIL+Aw93Nz7q35SqQX6cOGvBdvxBmoU2Jy0njRGLRvDF9i+wO+xXdeqM3AxeWPUCb6x7AwcO7om8h5favKTh7FLkhjUYllfDcsbuGQz7fdhVF8BOzEzkyeVP5k1HHlp/KK+2fdW5mmO4e0D388Wuo7+E+N28Om8n6w8lUsbbgymDm2H1U9LENLlZsNAYyUjrR6B8tQLt1qdmH97r9B7e7t78eexPBswfwK4zu67q1Nm2bF5f+zrPr3yeLFsWnSI68W6nd5VEkyLXMqwlk7tOpoxnGTbFb+Keufdc9Q25XHsuX+34ikeWPJLXIXly18nO1xyj07PgY4VT2416aeJc/nzTKEUT1hii7s5300c71aB3o3BysoJJPzKCYJ9QDqccZsD8ASw6vOiqTutwOJgdM5v7F95P/Ll4alhrMLPnTHOaY8g1szgKs8BCCZGSkoLVaiU5OZnAQLWUleLhcDgYt3wci44swt/Tn8ldJ9MwpGGhHX/n6Z2MWDSC1JxUelTrwVvt3zJ/VM8fE2D5m2CtDKPWG80IxLls/xF+GmZ0+Bu1Aaw35Lv5/vhU+ny8mrSsXPq2qIBbyI/MPzQfgOYVmjOu+TjqB9fP9xgOh4NlR5fx7oZ3iU2Nxc3ixuNNH2do/aHm/5sVl7I0dikvrHyBtJw0AjwDGBo1lIF1B+Ln6XfZfbJt2fx26Dfe2/geiZmJeFg8eKLZEwyuP7hYY78q3w2AvfM5EdyWtsdGYrFYmDKoOV3qFUMTGrm8lZNgycvgHwqjNxrTca/CplObeOLPJ0jMTMTd4s6Q+kO4v/79lPMpd9l97A47vx/+nfc3vc/xtOMAPNLoER5u9LBuYkix2n92P+OWj+NA8gHcLG7cXuN2Hmn0yBWbDG06tYnx68az96xRp/X2GrfzYpsX8Xb3LqbIr9Kaj+H35675cy5FJG4HfN7eqGN3/zyo1v6Ku2Rk27jn89XsOJ5CrTAIj/yRTfHG4Igbb7iRsc3GUqtcrXyPse/sPt5e/zbr4tYB0KJiC97r9J7zJYFdWEFzRUqkKZEmxSgjN4ORS0cSHRdNgGcAU7pNuWLSoSB2ndnF8EXDSc1OpUloEz7v+jm+Hk6QtMo+Bx81N2oPdH4ROjjRlCc5//+nBaQcM2opdfxXgXZbtucUw77egMMBr95Wj4CQLYxfN55MWyacn3rUo2oP2ldqnzfFwuFwkJCRwLLYZcw9MJdtp7cBEOwbzFvt36JlWMsifKMilxebEstTfz2VN6InyCeIrlW60r5SeyLLReLr4UuuPZfdibvZHL+Z2TGz8zp21Sxbk/E3jqduUF2T38UVnDmA/eNWuNlzGJr9FM279mPkTTXNjsq1pcbBh82M0RB9PoXG11YXMjEzkfHrxvP74d8B8HLzokc14/u3drnaBPsGk5aTRlx6HCuOr2DpkaUcSDamIgX7BvPvtv9WYxcxTUZuBm+uf5PZMbPhfIfamyJuolNEJxqGNKSsd1kADqccZlvCNuYemMvuxN0ABHoF8kSzJ7ir1l3OfRMuNxs+aQ2JB4wmMN1eNzsicTjgq54Quxrq3Q59vynwrieSMrjto1WcTsvilnoh1Km3mm92fU2uIxc3ixutw1pzc+WbaRralLI+ZfF29+ZIyhH2JO5h7oG5bIrfBICPuw8jG4/kvnr3OUdNP8mjRFo+lEgTM53LOccjSx5hU/wmyniW4c32b9IxouM1H2/NiTWMWz6OlOwUGoc05rOun+Hv6V+oMV+XbT/A7BEFHvEkxejPt+DP8UaB1VHRVzVi8LPlB3hzwR7c3SxMf6AlVSpm8cmWT5h7YC4OLvxZCfQKxOpt5XTG6Yvq+Hi7ezO43mCGNRjmXP9exSXZHXYWHFrAR5s/4ljasStuH+obyoC6AxhUbxBe7l7FEuP1OJ6UwZL3H+J+xy+c8owg9OmNWDycdPSGq5jzMGz9zmguMGyJ0ajnOiw9spTJ2ycXaIqnn4cfQ6OGMrje4HxHX4oUl60JW/lg0wesj1t/xW093Dy4vcbtPN708XxHXzqVmMUw825w84BH1hj108Q82/4Ds4cbJWhGRUPZiKvafeORs/SfvJZsm50xXWpxR0tv3t/0PouPLL7ivu4WdzpX7swTTZ8gIvDqzivFQ4m0fCiRJmZLz0nn0SWPsil+ExYsjGoyiuENhl/VtAqHw8HUHVP5YPMH2B12GoU04rMunzlfpxe7Hb7qDkfXQf074J5pZkckAMnH4MPmkJsBd081usVdBYfDwRPfb+HnLSew+noy59G2VA8pw4GkA8w7OI+lsUs5lHzokv2igqLoXq07Pav1JMQvpBDfkMj1y7HlsOrEKlYcW8GqE6s4de5UXlfEqoFVqRtUlw6VOnBLlVtKTC2ptKxc7v50NcfiTrHCdxzlHElwy3hoM9Ls0FzX0Wj4souxPHwZVLp8p86r4XA42JqwlV8P/MruM7uJSYohy5aFh8UDq7eVphWaclPETXSo1EHTiMQp7Ti9g2Wxy1hxfAWxKbGcyz0HQKhfKNUCq9G5cmd6VutJWZ+yZod69b7tZ3TwrH4TDJrzj42dpBhkpRqzMVJPQucXoMNT13SYHzYc5V8/GrMrPh3YlB4NwjiScoSlsUtZFruMQ8mHSM1OxYGDIJ8gapatSfOKzbmz1p2E+oUW8puSwqREWj6USBNnkGPLYcL6CXldPOsH1eeZls/QOLTxFffdeXonb0e/nTc8uE/NPrzQ+gXnrQ9xchtM7mjUIRj8C1TvZHZE8tNw2P4fqNwGhi64pgu6zBwb/aesZXNsElWD/JjzaDvK+V8YnZOclUzCuQSSspII9g0mrEyY8/4bFbmMHFsOduwl8t+uze7gwW82sHRPPMFlvFnc6TDlljwJ3lYYvQHK6GK+2Nnt8MXNcGITNB4IfT4pslPZ7Day7dn4uPs499Q3kcvItmVjc9ico1zJ9Uo8CB+3BlsW3DsD6vY2OyLXtPglWPU+lKsKj667bKfOgnh17i6mrjqEr6c7/3m4DVE3XHyDwma3kWXL0sjfEkaJtHwokSbO5Kd9P/F/G/6PtJw0ANqFt6NXjV50rNTxohbe53LO8dexv1hwaAHLji6D89Pj/tXiX9wTeY/zXyTPHwfRUyC4Njy8EjycfzpUqRW7DqZ2Ayzw4J8QfuXk7eUkpGbR5+NVHE/KoGXV8kwf3hJvDyfqWijiwl6bt4svVx7C28ONWQ+2pkmlQJhyE5zcanTpvWuK2SG6ns0z4JeR4BVgFB4PUMMHEZex9DVY8X9GE66R68BLCZZidToGPmkD9hzo/z3U7n5dh8u12Rk6LZoVMaepGOjDzyPbUdF67Yk5cQ5KpOVDiTRxNqczTvP+pvf5ef/PF60v512OIN8gEjMTOZt59qLaU72r9+axpo9R0b+iCRFfg4yzxlTCc6fh5peh/VizI3JNdtv50RCbocl9cPvH133IfadSueuT1aRm5XJn0xuYeE8j50/sipRyM9cd4fk5OwD4aEATejUMN144vhGm3Aw4NEK4uGWcNaYUpSdA19eg3WNmRyQixSk7HT5qaTR56vAv6Py82RG5DocDZtwJB5ZBrVtg4A+FctjkjBzu/nQ1MfFp1A8P5IeH2uDvreYBJVlBc0Xqcy3iBIJ9g3mt3WvMu2MejzR6hMoBlQE4m3WW/Un7ScxMxIGDiIAIhkUN46fbfmJ8+/ElJ4kG4FvuQqei5W9B4qX1s6QYbJxmJNG8AqDzS4VyyMgKAXw0sCnubhZmbzrOJ38eKJTjisi1WRlzmpd+2QnA2K6RF5JoYBS3bznCWJ43FnIyTYrSBS1+2UiiBUdCq4fNjkZEipuXP9xy/lp41SRI2Gt2RK5jz3wjiebuBd0nFNphrb6eTB3SgiB/L3aeSOHxWVuw2V1unJJLKtJE2tmzZxk0aBBWqxWr1cqgQYNISkrKd58hQ4ZgsVguerRu3fqibbKyshg9ejTBwcH4+/tz2223cezYlbtsiTi7KoFVeLTxo8y/cz5r+q/hx94/MrnrZH7s/SPL713O/DvmM6bZGCLLldBuP436QdX2kJsJ85807g5J8UmLh6X/NpY7v1CoU4o6Robwym31AXjn973M23ai0I4tIgW3Pz6NR2ZuxGZ30KdxOKM717x0o84vQJkKkHjA+DEnRe/Iatj0tbHca5LKG4i4qnp9oFY3sGXDr48ZdROlaGWlwoKnjeW2oyGoRqEePqK8H5MHN8PLw40lu0/x5oLdhXp8cU5FmkgbMGAAW7ZsYeHChSxcuJAtW7YwaNCgK+7XvXt3Tp48mff47bffLnp9zJgxzJkzh1mzZrFy5UrS0tLo1asXNputCN+NSPEq41WG2uVr0ya8DbXL16a8T/mSP13OYjF+QLh7w4GlsOMnsyNyLYtehMxkqNgQWgwv9MMPal2FB9pVA+DJH7ayOfZsoZ9DRC4vMT2bYV9Hk5qZS7Mq5Xjzrob//HfDx3rhjvyKiXBGo0iLVG4WzH3cWG46GKq2MzsiETGLxQK3vgue/nB0LWycanZEpd/S14zptGWrQPsni+QUzaqU5527GwIwZcUhZq47UiTnEedRZIm03bt3s3DhQr744gvatGlDmzZtmDJlCvPmzWPv3vyHsXp7e1OxYsW8R/ny5fNeS05O5ssvv2TixIl06dKFJk2aMGPGDLZv386SJUuK6u2ISGEJrgkdxhnLC58xasZI0Tu8ErbNMhoM9JoE7kVTv+H5W+tyc51QsnLtjPhmA0cTzxXJeUTkYlm5Nh6evpEjZ84RUd6XyYOa4eOZT+OP+ndCjZuNURHzx2qEcFFaOQlO7wP/UOj6qtnRiIjZykZAl5eN5cWvQPJxsyMqvY6uh/WTjeXe7xvTa4vI7Y1vYGxXY9bQS7/sZEVMQpGdS8xXZIm0NWvWYLVaadWqVd661q1bY7VaWb16db77/vnnn4SGhhIZGcmIESOIj4/Pe23jxo3k5OTQrVu3vHXh4eFERUVd9rhZWVmkpKRc9BARE7V73KgRk54AS14xO5rSLzfLqIUE0HwoVGpWZKdyd7PwQf8m1AsL5HRaNkO+Wk/SuewiO5+IgMPh4NnZ21l/OJEAbw++vL8FQWW889/JYoFb/88YIXzwT9j+Y3GF61oS9hld+gB6vGnUCxURaTEcKrWA7FT4bZxuZhSF3Cz4ZZTRXKfxQKhxU5GfcnTnmtzR5AZsdgePzthEzKnUIj+nmKPIEmlxcXGEhoZesj40NJS4uLjL7tejRw9mzpzJsmXLmDhxItHR0XTu3JmsrKy843p5eVGu3MUXIhUqVLjscSdMmJBXp81qtRIREXHd709EroOHtzEqivPF7w+vMjui0m3FRDi9F/xD4ObCaTCQH39vD6YOaUG41YcDCekM/3oDmTmaei9SVN5bvI/Zm47j7mbho4FNiawQULAdy1eHDk8Zy78/C+lnijROl2O3w7wxxqi/ml2NUYAiIgBu7nDbh+DmCXt/g12/mB1R6bPi3QvXv383PCtiFouFN+9qQIuq5UjNymXotGhOp2UVy7mleF11Iu2VV165pBnA/z42bNgA5/8h/S+Hw5Fvnad7772XW2+9laioKHr37s2CBQvYt28f8+fPzzeu/I777LPPkpycnPc4evTo1b5tESlsVdsZtWIAfn4EstLMjqh0OrXLuJAA6PF2sY2GqGj1YdoDLQnw8WDDkbM88f0W7OpiJFLovl0XywfL9gPwep8oOkaGXN0B2j0GIXWNEcK/FU3tGJe1ZQYcWQWefnDrRGMUoIjI30Lrwo1PGMu/PaVyJ4UpfrdxI5nz179+5a+0R6Hx9nDn80HNqRLkx7GzGQybFs257NxiO78Uj6tOpI0aNYrdu3fn+4iKiqJixYqcOnXqkv0TEhKoUKHgneLCwsKoUqUKMTExAFSsWJHs7GzOnr34iyY+Pv6yx/X29iYwMPCih4g4gW5vgDUCko7A4hfNjqb0sdvg19Fgz4HaPaH+HcV6+sgKAUwe1BwvdzcW7Ijj9fnqYiRSmJbuPsULP28H4LHONenfsvLVH8TDG+74FCzusHMO7Jhd+IG6ouTjsOgFY/mm56BcFbMjEhFn1GHc+XIn8UZTKLl+/339G9mj2K9/Acr7e/HVkBaU8/Nk67FkRs7cRK5NHVpLk6tOpAUHB1OnTp18Hz4+PrRp04bk5GTWr1+ft++6detITk6mbdu2BT7fmTNnOHr0KGFhYQA0a9YMT09PFi9enLfNyZMn2bFjx1UdV0ScgE8g3P6RsbxhKuxfanZEpcu6z+H4BvAONG00RJsaQfxf30YATF11iC9WHCz2GERKo61Hkxj17WbsDri7WSWeOF/g+JqEN7nQyWz+k5AWf6U9JD92O/wy0uiSHN4UWj1idkQi4qw8vKH3B8by5ulwcLnZEZV86yfDsWjwCjB1NHD1kDJ8OaQFPp5u/LE3gefn7MChWnilRpHVSKtbty7du3dnxIgRrF27lrVr1zJixAh69epF7dq187arU6cOc+bMASAtLY1x48axZs0aDh8+zJ9//knv3r0JDg7mjjuMTLLVamXYsGE8+eSTLF26lM2bN3PffffRoEEDunTpUlRvR0SKSvVO0PJBY/nX0ZCRZHZEpcOZA7DsNWO5678hMNy0UG5rFM5zPesA8Pr83czbdsK0WERKgyNn0nlgWjQZOTba1wpmwp0N8i2bUSAdnoKKDSAjEeY9ocLX1yP6Czj4B3j4wp2Ti6xLsoiUElXaQPNhxvKvoyFTjfGuWfyeC43Mur4C1htMDadp5XJ82L8pbhb4fsNRJi2JMTUeKTxFlkgDmDlzJg0aNKBbt25069aNhg0bMn369Iu22bt3L8nJyQC4u7uzfft2br/9diIjI7n//vuJjIxkzZo1BARcKJz73nvv0adPH/r27Uu7du3w8/Nj7ty5uLvn0+ZdRJxXl1eMotcpx+H358yOpuSz2+DnRyHnHFRtD02HmB0RI9pXZ0jbqgCM/X4r6w6qqLnItUhMz2bIV9GcSc+mXlggn97XDE/3Qric8/CCPp8aha/3zINtPxRGuK4nYd+FUgXdXoPgWmZHJCIlQZdXwFrZKHey4F9mR1My5WbBT8MhNxNqdrmQnDRZ13oVeK1PFADvL43hu/WxZockhcDicMHxhSkpKVitVpKTk1UvTcRZxK6Fqd2NFtX9voM6Pc2OqORaOQmWvGwMaX90NZS9hrpJRcBmdzBy5iYW7owj0MeD7x9qQ90wfQeLFFRGto0BX6xlc2wSN5T1Zc6jbQkN9Cnckyx/B/54HXys8OhaU0ezlji2HPiyK5zYDDU6w32z1WBARAruyBqY1hMcdrjrS2hwt9kRlSyLXoTVH4BfEDyyGgIqmh3RRSYu2suHy/bjZoEpg5tzc92C142X4lPQXFGRjkgTESmwyq2h7Whjee7jcC7R7IhKplM74Y83jOXuE5wmiQbg7mZhUr/GtKhajpTMXAZPXU/smXNmhyVSItjsDh6ftZnNsUlYfT35+oEWhZ9EA6ODXHgTo77Xr6ONel9SMH/9n5FE8ykLt3+sJJqIXJ0qbaD9OGN53lhIOmp2RCXHob9g9YfG8m0fOl0SDWBs10jublYJuwNGfruJzbHq0lqSKZEmIs7jpuchpI7RuWjeGNXouVq5WTDnIbBlQ2R3aHKf2RFdwsfTnS/ub0GdigEkpGZx35friE/NNDssEafmcDh4fs52Fu06hZeHG1/c35yaoQEF2PMauHtAn8/A3Rv2L4F1nxbNeUqbYxvhr3eM5V7vaiSfiFybjk9DpRaQlWxc09ltZkfk/DLOwpyHjVktTe+HOreaHdE/slgsTLizAR0jQ8jMsTPs6w0cTEgzOyy5RkqkiYjz8PSBOz4DNw/Y9QtsnGZ2RCXL0lchbjv4lofe7zvtaAirryffDGtJlSA/YhPPMfjL9SRn5JgdlojTenPhHmZFH8XNAh/0a0yLquWL9oShdeCW8yNbF79sjLKSy8tMgdkjwGGDqLsh6i6zIxKRksrdw2hS4lUGjqyCVZPMjsi5ORxGg5yU41C+hjEbw4l5urvxycCmNLjBSmJ6NoOnricuWTeUSyIl0kTEuYQ3gZtfNpYXPgOndpkdUckQsxjWfGQs3/6xUw5p/2+hAT5Mf6AVIQHe7IlLZdi0aDKydddV5H99+ucBPl9+EIA372xI96iw4jlxi+FQpxfYc+DHByArtXjOW9I4HEY5gsQDEFgJbv0/syMSkZKufHXoeX6E6x/j4fhGsyNyXlu+hZ1zwOIOd04BL3+zI7oif28Ppg5pQdUgP46dzeC+L9eRmJ5tdlhylZRIExHn02aU0W0nNxN+HArZqqOVr9S480PagZYPlZhGDZWD/PjmgZYE+niw4chZHp25kRyb6jGJ/O3bdbG8tXAPAM/3rEvfFhHFd3KLxagzE1gJEg8a9dI03f5SG6bCztnGSOp7vgLfcmZHJCKlQaP+UP8OsOfCf4aodvA/idsB8580lm96Fio1MzuiAgsJ8GbG8FaEWX3YH5/G/VPXk5qp2RkliRJpIuJ83NyMGj1lKkDCHpg/Vj/gLsduM2ponDsNFRpA11fNjuiq1A0LZOqQFvh4uvHH3gSe+s9W7Hb9vxaZu/UEz/+8HYCRN9VgRIfqxR+EX3kjOeTmYdzxX/dZ8cfgzE5shoXPGstdXoGIlmZHJCKlhcUCvSZBuaqQFHu+XppuNubJTIEfBkNuBtS4GW580uyIrlqlcn5MH9aK8v5ebD+ezLCvN5CZo9kZJYUSaSLinMqEwF1fgMUNtn5n3PWXSy1/Gw7+CZ5+cPdUo85cCdO8ank+HdgMDzcLP285wcu/7sShxKm4sD/3xjP2hy04HDCwVWXGdattXjARLeGW8cbyohcgdq15sTiT9NPw/SCwZUFkD2MktYhIYfItC32ng4cPxCyCFRPNjsg5OBzwy8gLU+rvnGLchC+BaoaW4ZsHWhLg7cH6Q4k8MmMj2blKmJYEJfNfnIi4hmodLtRLW/A0HNtgdkTOJWYxLH/LWO41CUIizY7omt1UJ5SJfRthscD0tUd4Y/5uJdPEJW04nMjDMzaSY3PQu1E4r94ehcXsxiEtHzQK6NtzjREAycfNjcdstvNTrZKPGsWt7/jMaZu7iEgJF9YQbj2fQPvjDdi70OyIzPfXO7D7V3DzhL5fg3+Q2RFdl6gbrHw5pAXeHsbsjLE/bMGm2RlOT4k0EXFu7R6Hur2Ngtc/DIbUU2ZH5BzOHICfhhutvpsPg0b3mh3Rdbu98Q2Mv6MBAF+sPMTERfvMDkmkWO06kcID06LJzLHTqXYIE+9phLubEyRoLBbo/QGE1oe0UzBrgGvXrlz0AhxeYXTV6/etMWpERKSoNLkPmg01rvl+Gg7xu82OyDx75hsJRTASjJWamx1RoWhZrTyfDTJmZ8zbdpIXft6hG8pOTok0EXFuFgvc/gkERxqtrb8fCDku3iY6Iwm+6weZSXBDM6dv9X01+reszL9vqw/AR3/s58OlMWaHJFIs9salct+X60jJzKV5lXJ8OrAZXh5OdJnmXQb6fwt+QXByizGtxhUv8qO/gHWfGst9PoXQOmZHJCKuoMfbUOVGyE41rgFdsflA3A6Y/aCx3PIhaHa/2REVqptqhzKpX2MsFvhufSxvLtijZJoTc6IrNBGRy/AJhP6zwKcsHIt27e5xtlyjk+npfRAQboyG8PA2O6pCdX/bqjzfsy4AExfv4/PlB8wOSaRIxZxKZcCUtSSmZ9Pg/BQPXy93s8O6VLmq0Peb880HZl8YFeAqYpbAb/8ylju/APVuMzsiEXEVHl7G92/ZKnD2sDEy2JVuLCcfh5n3QHaaUfrlltL596dXw3AmnJ+d8flfB5m4aJ+SaU5KiTQRKRmCalz4Abf9B1jxf2ZHZI7fn4UDy4zmAgNmQUBFsyMqEiM6VGdcN6Pm24QFe5i26pDZIYkUif3xafSfso4z6dnUDw9k+rCWWH09zQ7r8qreCL3eM5b/egc2fGV2RMXj5DajLprDBo0GQPtxZkckIq7GPwgGfA/eVohdA3MedI1Onpkp8G1fSD0BwbWN3wPuTvx38jr1a1mZl3rVg/OzM95brGSaM1IiTURKjuodoec7xvKy12HLd2ZHVLzWT4H1k43lOydDWCOzIypSozrXYnTnmgC8MncX366LNTskkUJ1MCGNAVPWcjoti7phgcwY1oqyfl5mh3VlTQdDx6eN5fljYe8CsyMqWmcOwIy7jClVVW6E3u+ruYCImCO0LvSbYRTa3/UL/P5c6Z6lkZMJPwyCUzvAPxQG/gd8y5kdVZF74MZqvHCrMTvjg2X7mbREpU6cjRJpIlKyNH8A2o42ln8ZaXSudAW75xmdSwFufslowOACxnaN5MEO1QF4bs52vluvZJqUDodPp9N/ylriU7OoUzGAmcNbUc6/BCTR/tbpWWh8HzjsxkitQ3+ZHVHRSI2D6XdAejxUaAD9ZhpTrEREzFKtg1GjEYyajX93cC9tbLnw0zA4+Cd4+huj8cpVMTuqYjO8ffW8ZNr7S2OYtERNuJyJEmkiUvJ0eRUa3mtMsflhMBzbYHZERevAMqMumsMGjQfCjWPNjqjYWCwWnu1RhyFtqwLw7OztTF9z2OywRK5L7Jlz9J+yllMpWdQKLcOM4a0oX5KSaPzdyXMS1L4VcjPh234Qu87sqApXWjx8czskHYFy1eC+n9ShU0ScQ8N7oPv5BNqfE2DVB2ZHVLjsNuOG+Z554O4N/b+DG5qaHVWxG96+Os/1NJraTFoSwwdqwuU0lEgTkZLHzQ1u/xhq3Aw552DGnXBii9lRFY3YtTBrINiyjVFovT9wuSlFFouFl3vXY9iN1QB48ZedfLlSNdOkZDqaaCTRTiZnUiPEn29HtCa4TAltGOLuCfd8BTU6Q046zLwbjkabHVXhSIuHr3tDwh6jscugORBQweyoREQuaP2wMUsBYPGLsOZjsyMqHHYb/PwobJtl1Ebu+7VR3sVFPdihBs/0MJJp7y7ex0fLlExzBkqkiUjJ5O5pFBut3AYyk41RAye3mR1V4TqxxehQlHPOSBre9SW4e5gdlSksFgsv3FqXRzrVAOC1ebvUzVNKnL+TaMeTMqge7M93I1oTElBCk2h/8/CGe2dClXaQlQLT+8DhlWZHdX1S4+Dr284n0cJgyDwoX83sqERELtX+yQvNT35/Dv4q4c24bLkwe4SRRLO4w51ToHYPs6My3cMda/B0dyOZ9n+L9vHxH/vNDsnlKZEmIiWXdxmj6GilFpCZVLqSaSe3GiPtslKgclu4d4bxg9WFWSwW/nVLbR67uRac7+b5oYa4SwlxICGNez5bw7GzGVQN8uPbEa0JDfQxO6zC4eVnfBdX6wjZaUZh/n2LzI7q2pw5AF92hYTd55No842u0SIizqrzC9DpOWN52Wuw5JWS2YAg+5xRsmXHT0Yzhb5fQ9SdZkflNB7pVIOnbqkNwDu/7+X9JTHq5mkiJdJEpGTzDjDq1oQ3hYxEmHYrHFltdlTX59AK+OpWOHcGwpvAgFnGD1XBYrEwtmskT3aNBGDi4n28u2ivLiTEqe2JS+Hez9cQl5JJrdAy/PBQGypaS0kS7W9e/jDgB6h1i1Ez7bt+sHGa2VFdnRNbYOotkBRr1EQbukBJNBFxfhYLdHoaur5qPF/5Hsx5GHKzzY6s4NLPwDe3wd75Rk20e6e7TGOtqzHyppp5ybT3luzjzQV7dA1sEiXSRKTk87HC4J+NkVtZKUaHtX2/mx3Vtdk9zxjNkZ0KVdvD4F+N9ycXGX1zLZ49Xy/ig2X7eXOhLiTEOe04nky/yWs5nZZN3bBAZj1Yikai/S9PH2P0bKP+RnOUuY8bIyPsdrMju7Kdc2Bqd0hPgIoNYNgiTecUkZKl3eNw24fGlMhts2DmXXAu0eyorixhnzES+Fg0+JSFwb9oOmc+Rt5Ukxd71QPg878O8uIvO7DbdQ1c3JRIE5HSwccKg2ZDZPfzoyH6w/opZkd1dTZNhx8GgS0L6vSCgT+CT6DZUTmthzrW4KW/LySWH+S5Odux6UJCnMjGI2fpP2UtSedyaBRRllkjWhNUUhsLFJSHF/T5FDo+bTxf+R5829d5f8zZbfDHBPjPEMjNMOpRDpkPZULNjkxE5Oo1HQwDfwCvMnDoL5jcybnLnuz5DaZ0hsQDYI2AB36HKm3MjsrpDbuxGhPubIDFAjPWxjLux63k2krATatSxOJwwVv4KSkpWK1WkpOTCQzUj1SRUsWWA78+Blu/NZ43HwY93jKaEzgruw2W/htWvW88bzIIek1y2cYCV+u79bE8P2c7dgd0r1+RSf0a4+PpbnZY4uKW70vg4ekbycix0bJqeb4c0pwAHyf+HioKW2cZo9JyM6FsFbhnGtzQ1OyoLkiNg9kPwqHlxvPWI42pUfruFZGSLm4HfD8Qzh4GDx/o+Y5xfeksnd9zs+GP1y9c+1ZpZ/yN0E2Mq/LLluOM/WErNruDng0q8t69jfH20DXw9ShorkiJNCXSREofh8P4w7zkFcBh/HG+cwpYbzA7skuln4E5D8L+Jcbz9k9C5xed50KnhFi44ySPfbeFbJudNtWDmDy4meslLcRp/Lr1BE/+sIUcm4P2tYL5fFAz/LxcNDlzcht8fx8kHQE3D+jwL2g/1vybG3t+g7mPGVM5Pf3g1onQeIC5MYmIFKaMs/DTCNi/2Hhepxf0fh/8g82N63QM/DTMaKwF0PJBuGW8+X8XSqjfd8Yx+tvNZNvstKsZxOeDmlPG20WvOQqBEmn5UCJNxEXsXQA/DTe6yPmWhz6fOFfNhcOrjPhST4CHL9z+ETS42+yoSqzVB07z4DcbScvKJeqGQKYNbUlwaZ9GJ07n69WHeWXuThwO6NUwjHf7NsbLw8UraZxLhHlPwK6fjedhjaHXu3BDs+KPJS0eFvzLqIkGUCEK7v4KQiKLPxYRkaJmt8PqD2DZ62DPAb9g6PY6NOpX/Ddtc7Ng5SRYMdEoY+JbzqjppqYC121FTAIPTd/IuWwbDW6w8tXQFroGvkZKpOVDiTQRF3LmAPw49MJdr2ZDoeu/zS3gn5NhXNCs+dgYMRdUC+75yihwLddlx/Fk7p+6njPp2VQN8mP6sFZElFfHUyl6DoeD95bE8MHSGADub1OFl3vXx81No0vh/Ejh7T/Cb09CZjJgMWr5dH6heKby5GTAus9gxXuQlWwU4247Gjo9A56+RX9+EREzndxmTGVP2G08r9wWbnmjeKbbOxyw9zdY/DKcMf5GUuNm4wZyYHjRn99FbDuWxJCvoknUNfB1USItH0qkibiY3CxY8m9Y+7HxPCAcuk+AercX/924mCWw4ClIPGg8bzwQerwN3mWKN45S7GBCGoO+XM/xpAxCA7z5+oGW1A3Td70UnVybnZd+3cm362IBeKJLJI/dXBOLpmhfKvUULH7J6CgHxmjcFsOMbnNFkVDLPgdbZhqjIFKOGevCGhmjIMIaFf75REScVW62cS28/G3IOWesq9PLaA4T1rDwz2e3w4FlsPxNoyMngH+ocQ0edZfKmBSBgwlpDJ66nmNnMwgJ8ObroS2pF65r4KuhRFo+lEgTcVGHV8Kvoy8ksaq0MwpLV2pe9Oc+tROWvgr7FhrPA8KMOhWRtxT9uV1QXHImg6euY9+pNMp4e/DRgCZ0qq0CtlL40rNyGfXtJv7Ym4DFAq/eHsWg1lXMDsv5HVkNi16E4xuM5+5exs2N5g9ARGtwu87psAl7Yet3sPFryDjfMTTwBqMGZcN7r//4IiIlVVIsLHsDtv8AjvOdHiu3gRbDoXZP8LrOUUzpZ2DnbFg/GU7vM9Z5+kGrh42bJr5lr/89yGWdSsnk/qnr2ROXShlvDz4Z2JQOkSFmh1ViKJGWDyXSRFxYToYxMmHV+5CbYayrcTPcOAaqti/8u2PHNsDqDy/UBnLzMC4kOv7L3OmlLiD5XA4PzdjA2oOJuFng30pwSCE7lZLJA9Oi2XkiBR9PNybd24TuURXNDqvkcDiMRivL37owWoHzo4br9DS+mys1L9hItZwMOL4RDv4JMYsuTOcHo2Nom1HQdJCmcYqI/C1hrzE6bdfPYM811nn6Qa2uULOrkVwLqnHla2O7DU7tMGr/7l8MB5eDw2a85hVgfPe2GwMBFYr+PQkAyRk5PPjNBtYdSsTdzcIbfaLo17Ky2WGVCEqk5UOJNBEh6Sj8+aYxYuHvP/YhdYyplvXvgLIR137s9NNGIeut3xk/7P5W/w7o9JyKWhej7Fw7z87ezk+bjCldw26sxnM96+KuulVynfbEpfDAV9GcSM4kyN+LL+5vTpPK5cwOq+Q6sRmivzS+O7PTLn4tsBKUq2p8L3sHgoeXkYTLOGt8356JgcRDRs3Jv7l5GD8EG/eH2reCuzqYiYj8o5STsOlr2DwTkmMvfs2nLJSvbnwH+5Y1Em0AWSnGd/CZg5B4AHIzL94vrBE0GmB0Q/bR720zZOXaeOan7czZfByARzrV4KlutVW79QqUSMuHEmkikifxkDFibOssyEm/sL5iA6jeCSq1gIoNoWxlcHO/dH+73ei6Gbcdjm+Cg38YybO/h8q7e0HU3dB2FFSoX3zvS/I4HA4++fMA7/y+F4AudSvwfr/G+Ks1uFyjFTEJPDpjE6lZuVQP8WfakJZUDlJB30KRmwWH/oI98yF2LSTsuThBlh//UKje0fjujuwO/sFFHa2ISOnhcMDJLbB7rjH9/vgmo7tmQXgFQOXWUPVGowtnUI2ijlYKwOFwMGlJDO+fb4R0a4MwJvZthI/nP/ymEVAiLX9KpInIJTKTjY5yO2bDkVWX/nCzuBt1zbwDjNEQthzISoPUk0Y78f8V1hga9oUG9xRPRzq5orlbT/Dkf7aSnWunfnggX97fgopWH7PDkhLE4XAwbfVhXp+/G5vdQatq5fl8UDPK+nmZHVrplZkC8buMUcTJRyE7HWzZxmu+5YxH+WoQWg/8Q1S8WkSksORmwekYOHsIzh6BrNTzTQoc4G01RpqVqwpBNY0p9Br567RmbzrG0z9tI8fmoHFEWSYPakZooK6B/4kSaflQIk1E8pUWb4yIOLTcqLMTv/vCD7d/YnGH4EgIbwxV2kKNzmCtVJwRSwFtPHKWB7/ZwJn0bCoG+vD5oGY0ilDRW7myrFwbL/28k+83HAXgrqaVGH9nFN4euqsrIiIizm3twTM8NH0jyRk5VAj05vNBzWmsa+BLKJGWDyXSROSq2G1Gci3lhFG7JzcL3D3Bq4xRODUgXHfhSpCjiecYOi2a/fFpeHm48UafKO5pfh018aTUS0jN4pEZG9lw5CxuFniuZ12G3VgNi0Y/iYiISAlx+HQ6I77ZQMz5a+AJdzTgrma6+f/fCporKtLe32fPnmXQoEFYrVasViuDBg0iKSkp330sFss/Pt555528bTp16nTJ6/369SvKtyIirszNHQLDoFIzo/5OZDeocRNEtDBqpymJVqJElPdj9qNt6VK3Atm5dp76cRsv/7KDHJvd7NDECe04nsztH61kw5GzBPh4MHVIC4a3r64kmoiIiJQoVYP9mTOyHV3rGdfAT/5nK6/O3UWuroGvWpGOSOvRowfHjh1j8uTJADz44INUrVqVuXPnXnafuLi4i54vWLCAYcOGsX//fqpXrw7nE2mRkZG8+uqredv5+vpitVoLFJdGpImIiN3u4MNl+3lvyT4AWlYtz8cDmxIS4G12aOIEHA4H30cf5aVfd5Kda6d6sD9T7m9OjZAyZocmIiIics3sdgeTlsbwwfkmBG2qB/FB/ya6BnaGqZ27d++mXr16rF27llatWgGwdu1a2rRpw549e6hdu3aBjtOnTx9SU1NZunRp3rpOnTrRuHFjJk2adE2xKZEmIiJ/W7LrFE98v4XUrFxCA7z5oH8TWlcPMjssMVFGto0Xf9nBjxuPAXBznVDevbcxVl9Ps0MTERERKRQLd5xk7A9bOZdtIzTAmw/7N6GVi18Dmz61c82aNVit1rwkGkDr1q2xWq2sXr26QMc4deoU8+fPZ9iwYZe8NnPmTIKDg6lfvz7jxo0jNTX1ssfJysoiJSXlooeIiAhAl3oV+HlUO2qFliE+NYsBU9by8R/7sdtdroSoAIdOp3PHJ6v4ceMx3Czw1C21mTK4uZJoIiIiUqp0jwrj1/++Bv5iHZ8tP6Br4AIoskRaXFwcoaGhl6wPDQ29ZPrm5Xz99dcEBARw5513XrR+4MCBfPfdd/z555+8+OKL/PTTT5ds898mTJiQV6fNarUSEaGi0iIickGNkDL8MqoddzWthN0B7/y+l6HToklMz6dbq5Q6v20/yW0frmRPXCrBZbyYMawVI2+qiZub6qGJiIhI6VMzNIBfRrXjjiY3YLM7eHPBHh6cvoHkczlmh+bUrjqR9sorr1y2IcDfjw0bNsD5xgH/y+FwFLhA79SpUxk4cCA+Pj4XrR8xYgRdunQhKiqKfv368eOPP7JkyRI2bdr0j8d59tlnSU5OznscPXr0at+2iIiUcn5eHkzs24i3726It4cby/cl0PP9Fazef9rs0KSIpWfl8vSP23h05iZSs3JpXqUc80a3p23NYLNDExERESlSfl4evNu3EePvaICXhxtLdsfT/f2/WHPgjNmhOa2rbjU3atSoK3bIrFq1Ktu2bePUqVOXvJaQkECFChWueJ4VK1awd+9evv/++ytu27RpUzw9PYmJiaFp06aXvO7t7Y23twrniYjIlfVtHkHDSlZGztzEgYR0Bnyxjgc7VOfJbpF4e7ibHZ4Usu3Hknl81mYOnk7HYoFHOtbgia6ReLoXaWNzEREREadhsVgY0KoyDStZGfXtJg6fOceAL9bycMcaPNElEi8PXRf9tyJvNrBu3TpatmwJwLp162jdunWBmg0MGTKEHTt25I1uy8+OHTto0KABy5cvp0OHDlfcXs0GRETkSs5l5/L6/N18uy4WgHphgbzfrzG1KgSYHZoUArvdwRcrD/LO73vJsTmoGOjDe/c2pk0N1y6yKyIiIq4tPSuX1+btYla0MZOvwQ1WJvVr7BKdy03v2gnQo0cPTpw4weeffw7Agw8+SJUqVZg7d27eNnXq1GHChAnccccdFwUfFhbGxIkTefjhhy865oEDB5g5cyY9e/YkODiYXbt28eSTT+Lr60t0dDTu7lceLaBEmoiIFNSinXE8M3s7ienZeHu48dQttRnarhruqptVYh05k85TP25j/aFEAHpEVWTCnQ0o6+dldmgiIiIiTmHhjpM8M3s7Sedy8PV059medbivVZVSXTvW9K6dnO+s2aBBA7p160a3bt1o2LAh06dPv2ibvXv3kpycfNG6WbNm4XA46N+//yXH9PLyYunSpdxyyy3Url2bxx57jG7durFkyZICJdFERESuRrf6FVn4eHs6RIaQlWvn9fm7uevT1ew7dflu0eKc7HYHX606xC2T/mL9oUT8vNx5884GfDKwqZJoIiIiIv+le1QYCx/vQLuaQWTk2Hjpl530m7yWgwlpZodmuiIdkeasNCJNRESulsPhYFb0UcbP301qVi6e7hZG3VSLRzrVUN2IEuDQ6XSe/nEb6w8bo9DaVA/i7bsbElHez+zQRERERJyW3e5gxrojvLlgD+eybXh7uDG2ayTDbqyGRymrKesUUzudlRJpIiJyreKSM3nh5+0s2R0PQJ2KAbx1V0MaRZQ1OzT5B9m5dr5ceYj3l+4jM8eOv5c7z/asy4CWlUv11AQRERGRwnQ08RzPzdnOihijo32jSlbevrsRtSuWnvrBSqTlQ4k0ERG5Hg6Hg7nbTvLKrztJTM/GzQJD21VjTJdaBPh4mh2enLfmwBle/GUH++ONKQjtagbx5p0ahSYiIiJyLRwOB//ZcIzX5u8iNdOYofHDQ21oUrmc2aEVCiXS8qFEmoiIFIbE9Gz+PXcnv2w5AUBwGW/+1b02dzetpNFOJkpIzWL8b7uZs/k4AEH+Xjx/a13uaHIDFov+v4iIiIhcj1MpmTw/Zwdnz2Xzw0NtSk0TLiXS8qFEmoiIFKY/98bz6txdHDydDkCjiLK80rteqbk7V1Jk5dr4ZvURPlgWQ2pmLhYLDGxVmae61cHqp5GCIiIiIoXF4XCQlpVbqmZjKJGWDyXSRESksGXn2pm2+hAfLN1PWlYuAHc2vYFx3WoTXtbX7PBKNYfDwbxtJ3n79z0cTcwAoMENVl7vE6XadSIiIiJSIEqk5UOJNBERKSrxqZm8vXAvP248BoCXuxv3ta7CozfVILiMt9nhlTrRhxN5Y/5uthxNAqBCoDdPdqvNXU0rlZppBiIiIiJS9JRIy4cSaSIiUtS2HE1iwm+7WXcoEQA/L3eG3ViN4e2rY/UtPUPgzbLxyFneXxrDX/sS4Px/34c71mB4+2r4eXmYHZ6IiIiIlDBKpOVDiTQRESkODoeDlftP887ve9l2LBkAq68nw26sxqDWVSjn72V2iCXOhsOJvL80Jq/1urubhb7NI3iiay1CA3zMDk9ERERESigl0vKhRJqIiBQnh8PB7ztPMXHRXmLi0wDw9XSnX8sIht1YjUrl/MwO0anZ7Q6W70vgi5UHWbX/DAAebhbualqJkTfVpHKQ/vuJiIiIyPVRIi0fSqSJiIgZbHYH87ad4PPlB9l1MgXOj6jq3TCMER2qUz/canaITiU9K5cfNx7j69WH8zqierhZuLuZkUCLKK8EmoiIiIgUDiXS8qFEmoiImOnvKZ+fLz/Iyv2n89Y3jihL/5YR9GoYjr+369b5ij1zjq/XHOaH6KOknu+AGuDtQd8WEQxpW1UJNBEREREpdEqk5UOJNBERcRY7jifz+V8HWbD9JLl2409yGW8PbmscTv8WlYm6IRCLpfR3n8zItrFw50l+3HiM1QfO8PfVSfVgf4a0q8pdTSu5dHJRRERERIqWEmn5UCJNREScTUJqFj9tOsas9bEcPnMub32NEH9ubRBGz4Zh1K4QUKqSatm5dlbtP8387SdZuCOOtPOjzwA6RIYwtF1VOtYKwc2t9LxnEREREXFOSqTlQ4k0ERFxVna7g7WHzvDd+qP8viOObJs977W/k2pd61WkfnhgiUwwpWbmsGr/GRbtimPxrlOkZl5InkWU9+XuphHc2fQGTd8UERERkWKlRFo+lEgTEZGSICUzh6W7TzF/Wxx/7Uu4KKlWzs+TtjWDaV8zmHY1g5028ZRjs7P7ZAor959m+d4ENh45mzeFFSAkwJseURW5tUEYLaqWL5HJQREREREp+ZRIy4cSaSIiUtL8nVT7bXscq/efJj3bdtHrlcv70aRyWRpVKkujiLLUDw/Ex9O9WGN0OBycTM5k98kUth5LZsPhRDbHJpGRc3Gs1YL96RgZQs8GYTSrUg53Jc9ERERExGRKpOVDiTQRESnJcmx2th5NYkXMaVbuP82Wo0nY7Bf/OXezGMm1mqEB1AwtQ/UQf24o60uY1Ycwqy++XteWZLPbHaRk5nAyOZMjZ85xNPEcRxLT2R+fxp64VJLO5Vyyj9XXkxZVy9ExMoQOkSFUCfK/5vcuIiIiIlIUlEjLhxJpIiJSmqRm5rApNoltR5PYeiyJLUeTOJ2Wne8+gT4eWP08CfQxHv7e7ri7Wc4/3HA4HGTm2MnKtZGZYyM1M5cz6dkkpmdfkrT7b+5uFmqGlKF+eCDNq5anedVy1AwpoymbIiIiIuLUCporUh95ERGREi7Ax5OOkSF0jAyB81MsE1Kz2B+fRkx8Gvvj0zh8Jp2TyZmcTMogPdtGSmYuKZm5QMY1nbOcnyeVy/tROcifyuV9qRrkT92wQGpVKIO3R/FOKRURERERKS5KpImIiJQyFouF0EAfQgN9aFsz+KLXHA4HKZm5JKRmkZKZQ0pGDimZuZzLysXmcGCzO/JGnPl4uuPj6YaPhzv+3h4ElfEiyN+b8v5eeHm4mfTuRERERETMo0SaiIiIC7FYLFh9PbH6epodioiIiIhIiaPbySIiIiIiIiIiIgWgRJqIiIiIiIiIiEgBKJEmIiIiIiIiIiJSAEqkiYiIiIiIiIiIFIASaSIiIiIiIiIiIgWgRJqIiIiIiIiIiEgBKJEmIiIiIiIiIiJSAEqkiYiIiIiIiIiIFIASaSIiIiIiIiIiIgWgRJqIiIiIiIiIiEgBKJEmIiIiIiIiIiJSAEWaSHvjjTdo27Ytfn5+lC1btkD7OBwOXnnlFcLDw/H19aVTp07s3Lnzom2ysrIYPXo0wcHB+Pv7c9ttt3Hs2LEiehciIiIiIiIiIiJFnEjLzs7mnnvu4ZFHHinwPm+//TbvvvsuH330EdHR0VSsWJGuXbuSmpqat82YMWOYM2cOs2bNYuXKlaSlpdGrVy9sNlsRvRMREREREREREXF1FofD4Sjqk0ybNo0xY8aQlJSU73YOh4Pw8HDGjBnD008/DedHn1WoUIG33nqLhx56iOTkZEJCQpg+fTr33nsvACdOnCAiIoLffvuNW2655YrxpKSkYLVaSU5OJjAwsJDepYiIiIiIiIiIlEQFzRU5VY20Q4cOERcXR7du3fLWeXt707FjR1avXg3Axo0bycnJuWib8PBwoqKi8rYREREREREREREpbB5mB/Df4uLiAKhQocJF6ytUqMCRI0fytvHy8qJcuXKXbPP3/v8rKyuLrKysvOcpKSlFEL2IiIiIiIiIiJRmVz0i7ZVXXsFiseT72LBhw3UFZbFYLnrucDguWfe/8ttmwoQJWK3WvEdERMR1xSciIiIiIiIiIq7nqkekjRo1in79+uW7TdWqVa8pmIoVK8L5UWdhYWF56+Pj4/NGqVWsWJHs7GzOnj170ai0+Ph42rZt+4/HffbZZxk7dmze85SUFCXTRERERERERETkqlx1Ii04OJjg4OAiCaZatWpUrFiRxYsX06RJEzjf+XP58uW89dZbADRr1gxPT08WL15M3759ATh58iQ7duzg7bff/sfjent74+3tXSQxi4iIiIiIiIiIayjSGmmxsbEkJiYSGxuLzWZjy5YtANSsWZMyZcoAUKdOHSZMmMAdd9yBxWJhzJgxjB8/nlq1alGrVi3Gjx+Pn58fAwYMAMBqtTJs2DCefPJJgoKCKF++POPGjaNBgwZ06dKlKN+OiIiIiIiIiIi4sCJNpL300kt8/fXXec//HmX2xx9/0KlTJwD27t1LcnJy3jb/+te/yMjI4NFHH+Xs2bO0atWKRYsWERAQkLfNe++9h4eHB3379iUjI4Obb76ZadOm4e7uXpRvR0REREREREREXJjF4XA4zA6iuKWkpGC1WklOTiYwMNDscERERERERERExEQFzRVddddOERERERERERERV6REmoiIiIiIiIiISAEokSYiIiIiIiIiIlIASqSJiIiIiIiIiIgUgBJpIiIiIiIiIiIiBaBEmoiIiIiIiIiISAEokSYiIiIiIiIiIlIASqSJiIiIiIiIiIgUgBJpIiIiIiIiIiIiBaBEmoiIiIiIiIiISAF4mB2AGRwOBwApKSlmhyIiIiIiIiIiIib7O0f0d87oclwykZaamgpARESE2aGIiIiIiIiIiIiTSE1NxWq1XvZ1i+NKqbZSyG63c+LECQICArBYLGaHUyhSUlKIiIjg6NGjBAYGmh2OiEvR50/EXPoMiphHnz8R8+jzJ1K4HA4HqamphIeH4+Z2+UpoLjkizc3NjUqVKpkdRpEIDAzUl6iISfT5EzGXPoMi5tHnT8Q8+vyJFJ78RqL9Tc0GRERERERERERECkCJNBERERERERERkQJQIq2U8Pb25uWXX8bb29vsUERcjj5/IubSZ1DEPPr8iZhHnz8Rc7hkswEREREREREREZGrpRFpIiIiIiIiIiIiBaBEmoiIiIiIiIiISAEokSYiIiIiIiIiIlIASqSJiIiIiIiIiIgUgBJppcQnn3xCtWrV8PHxoVmzZqxYscLskERKvQkTJtCiRQsCAgIIDQ2lT58+7N271+ywRFzShAkTsFgsjBkzxuxQRFzG8ePHue+++wgKCsLPz4/GjRuzceNGs8MSKfVyc3N54YUXqFatGr6+vlSvXp1XX30Vu91udmgiLkGJtFLg+++/Z8yYMTz//PNs3ryZ9u3b06NHD2JjY80OTaRUW758OSNHjmTt2rUsXryY3NxcunXrRnp6utmhibiU6OhoJk+eTMOGDc0ORcRlnD17lnbt2uHp6cmCBQvYtWsXEydOpGzZsmaHJlLqvfXWW3z22Wd89NFH7N69m7fffpt33nmHDz/80OzQRFyCxeFwOMwOQq5Pq1ataNq0KZ9++mneurp169KnTx8mTJhgamwiriQhIYHQ0FCWL19Ohw4dzA5HxCWkpaXRtGlTPvnkE15//XUaN27MpEmTzA5LpNR75plnWLVqlWZBiJigV69eVKhQgS+//DJv3V133YWfnx/Tp083NTYRV6ARaSVcdnY2GzdupFu3bhet79atG6tXrzYtLhFXlJycDED58uXNDkXEZYwcOZJbb72VLl26mB2KiEv59ddfad68Offccw+hoaE0adKEKVOmmB2WiEu48cYbWbp0Kfv27QNg69atrFy5kp49e5odmohL8DA7ALk+p0+fxmazUaFChYvWV6hQgbi4ONPiEnE1DoeDsWPHcuONNxIVFWV2OCIuYdasWWzatIno6GizQxFxOQcPHuTTTz9l7NixPPfcc6xfv57HHnsMb29vBg8ebHZ4IqXa008/TXJyMnXq1MHd3R2bzcYbb7xB//79zQ5NxCUokVZKWCyWi547HI5L1olI0Rk1ahTbtm1j5cqVZoci4hKOHj3K448/zqJFi/Dx8TE7HBGXY7fbad68OePHjwegSZMm7Ny5k08//VSJNJEi9v333zNjxgy+/fZb6tevz5YtWxgzZgzh4eHcf//9ZocnUuopkVbCBQcH4+7ufsnos/j4+EtGqYlI0Rg9ejS//vorf/31F5UqVTI7HBGXsHHjRuLj42nWrFneOpvNxl9//cVHH31EVlYW7u7upsYoUpqFhYVRr169i9bVrVuXn376ybSYRFzFU089xTPPPEO/fv0AaNCgAUeOHGHChAlKpIkUA9VIK+G8vLxo1qwZixcvvmj94sWLadu2rWlxibgCh8PBqFGjmD17NsuWLaNatWpmhyTiMm6++Wa2b9/Oli1b8h7Nmzdn4MCBbNmyRUk0kSLWrl079u7de9G6ffv2UaVKFdNiEnEV586dw83t4p/y7u7u2O1202IScSUakVYKjB07lkGDBtG8eXPatGnD5MmTiY2N5eGHHzY7NJFSbeTIkXz77bf88ssvBAQE5I0MtVqt+Pr6mh2eSKkWEBBwST1Cf39/goKCVKdQpBg88cQTtG3blvHjx9O3b1/Wr1/P5MmTmTx5stmhiZR6vXv35o033qBy5crUr1+fzZs38+677/LAAw+YHZqIS7A4HA6H2UHI9fvkk094++23OXnyJFFRUbz33nt06NDB7LBESrXL1SH86quvGDJkSLHHI+LqOnXqROPGjZk0aZLZoYi4hHnz5vHss88SExNDtWrVGDt2LCNGjDA7LJFSLzU1lRdffJE5c+YQHx9PeHg4/fv356WXXsLLy8vs8ERKPSXSRERERERERERECkA10kRERERERERERApAiTQREREREREREZECUCJNRERERERERESkAJRIExERERERERERKQAl0kRERERERERERApAiTQREREREREREZECUCJNRERERERERESkAJRIExERERERERERKQAl0kRERERERERERApAiTQREREREREREZECUCJNRERERERERESkAJRIExERERERERERKYD/B4lZdN32oC/2AAAAAElFTkSuQmCC", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sim = myokit.Simulation(cos_model)\n", + "sim.set_tolerance(1e-8, 1e-8)\n", + "log = sim.run(np.pi * 3).npview()\n", + "t = log.time()\n", + "\n", + "def amplitude(x):\n", + " \"\"\"Expected amplitude\"\"\"\n", + " return 1 / np.sqrt(1 + x**2)\n", + "\n", + "fig = plt.figure(figsize=(15, 5))\n", + "\n", + "ax = fig.add_subplot(1, 1, 1)\n", + "ax.set_title('Cosine simulations')\n", + "ax.set_ylim(-1.1, 1.1)\n", + "ax.plot(t, log['rc.v0'], label=r'$\\lambda = 1/2$')\n", + "ax.plot(t, log['rc.v1'], label=r'$\\lambda = 1$')\n", + "ax.plot(t, log['rc.v2'], label=r'$\\lambda = 2$')\n", + "kw = dict(color='#999', lw=0.5, ls='--')\n", + "ax.axhline(amplitude(1/2), **kw)\n", + "ax.axhline(amplitude(1), **kw)\n", + "ax.axhline(amplitude(2), **kw)\n", + "ax.legend(ncols=3)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "ab5437b5", + "metadata": {}, + "source": [ + "This shows the simulated voltages all starting at $V(t=0) = 0$, but then quickly adapting to become proper cosines.\n", + "Each signal is attenuated during the first period, but by the second period we see the peaks reach the expected amplitude for a pure signal.\n" + ] + }, + { + "cell_type": "markdown", + "id": "108098bc", + "metadata": {}, + "source": [ + "To check if our maths was any good, we can define functions using the derived equations for the transient and periodic terms, and compare them to the simulations:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "dbdea210", + "metadata": {}, + "outputs": [], + "source": [ + "omega = cos_model.get('rc.omega').eval()\n", + "\n", + "def cos_transient(t, x):\n", + " \"\"\"Transient, using x=lambda.\"\"\"\n", + " return -1 / (1 + x**2) * np.exp(-omega * t)\n", + "\n", + "def cos_periodic(t, x):\n", + " \"\"\"Sine wave with gain and phase shift.\"\"\"\n", + " return 1 / np.sqrt(1 + x**2) * np.cos(omega * x * t - np.arctan(x))" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "7e6d22cb", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(15, 9))\n", + "\n", + "ax = fig.add_subplot(2, 2, 1)\n", + "ax.set_title('Simulations, and subtracted transients')\n", + "ax.set_ylim(-1.1, 1.1)\n", + "ax.plot(t, log['rc.v0'], label=r'$\\lambda = 1/2$')\n", + "ax.plot(t, log['rc.v1'], label=r'$\\lambda = 1$')\n", + "ax.plot(t, log['rc.v2'], label=r'$\\lambda = 2$')\n", + "ax.plot(t, log['rc.v0'] - cos_transient(t, 1/2), '--', color='tab:blue', label='Simulation minus transient')\n", + "ax.plot(t, log['rc.v1'] - cos_transient(t, 1), '--', color='tab:orange', label='Simulation minus transient')\n", + "ax.plot(t, log['rc.v2'] - cos_transient(t, 2), '--', color='tab:green', label='Simulation minus transient')\n", + "ax.legend(ncols=2)\n", + "\n", + "ax = fig.add_subplot(2, 2, 2)\n", + "ax.set_title('Derived cosines')\n", + "ax.set_ylim(-1.1, 1.1)\n", + "ax.plot(t, cos_periodic(t, 0.5), '--', color='tab:blue') \n", + "ax.plot(t, cos_periodic(t, 1), '--', color='tab:orange')\n", + "ax.plot(t, cos_periodic(t, 2), '--', color='tab:green')\n", + "\n", + "ax = fig.add_subplot(2, 2, 3)\n", + "ax.set_title('Derived transients')\n", + "ax.set_ylim(-1.1, 1.1)\n", + "ax.plot(t, cos_transient(t, 0.5))\n", + "ax.plot(t, cos_transient(t, 1))\n", + "ax.plot(t, cos_transient(t, 2))\n", + "\n", + "ax = fig.add_subplot(2, 2, 4)\n", + "ax.set_title('Simulations minus derived cosines')\n", + "ax.set_ylim(-1.1, 1.1)\n", + "ax.plot(t, log['rc.v0'] - cos_periodic(t, 0.5))\n", + "ax.plot(t, log['rc.v1'] - cos_periodic(t, 1))\n", + "ax.plot(t, log['rc.v2'] - cos_periodic(t, 2))\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "badaae31", + "metadata": {}, + "source": [ + "We can repeat the exercise for the sine wave equations:" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "f9b341f4", + "metadata": {}, + "outputs": [], + "source": [ + "sin_model = myokit.parse_model('''\n", + "[[model]]\n", + "rc.v0 = 0\n", + "rc.v1 = 0\n", + "rc.v2 = 0\n", + "input(time, omega, lambda) = sin(lambda * omega * time)\n", + "\n", + "[rc]\n", + "t = 0 bind time\n", + "omega = 2\n", + "sin0 = input(t, omega, 1 / 2)\n", + "sin1 = input(t, omega, 1)\n", + "sin2 = input(t, omega, 2)\n", + "dot(v0) = (sin0 - v0) * omega\n", + "dot(v1) = (sin1 - v1) * omega\n", + "dot(v2) = (sin2 - v2) * omega\n", + "''')" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "147105b9", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sim = myokit.Simulation(sin_model)\n", + "sim.set_tolerance(1e-8, 1e-8)\n", + "log = sim.run(np.pi * 3).npview()\n", + "t = log.time()\n", + "\n", + "fig = plt.figure(figsize=(15, 5))\n", + "\n", + "ax = fig.add_subplot(1, 1, 1)\n", + "ax.set_title('Sine simulations')\n", + "ax.set_ylim(-1.1, 1.1)\n", + "ax.plot(t, log['rc.v0'], label=r'$\\lambda = 1/2$')\n", + "ax.plot(t, log['rc.v1'], label=r'$\\lambda = 1$')\n", + "ax.plot(t, log['rc.v2'], label=r'$\\lambda = 2$')\n", + "kw = dict(color='#999', lw=0.5, ls='--')\n", + "ax.axhline(amplitude(1/2), **kw)\n", + "ax.axhline(amplitude(1), **kw)\n", + "ax.axhline(amplitude(2), **kw)\n", + "ax.legend()\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "74ae6fe7", + "metadata": {}, + "source": [ + "Consistent with the positive transient term, the signals now all start off with high amplitudes before settling down to the expected filtering level.\n", + "\n", + "Next, we perform the same checks as before:" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "17efb2f1", + "metadata": {}, + "outputs": [], + "source": [ + "omega = sin_model.get('rc.omega').eval()\n", + "\n", + "def sin_transient(t, x):\n", + " \"\"\"Transient, using x=lambda.\"\"\"\n", + " return x / (1 + x**2) * np.exp(-omega * t)\n", + "\n", + "def sin_periodic(t, x):\n", + " \"\"\"Sine wave with gain and phase shift.\"\"\"\n", + " return 1 / np.sqrt(1 + x**2) * np.sin(omega * x * t - np.arctan(x))" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "e1c06f2c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(15, 9))\n", + "\n", + "ax = fig.add_subplot(2, 2, 1)\n", + "ax.set_title('Simulations, and subtracted transients')\n", + "ax.set_ylim(-1.1, 1.1)\n", + "ax.plot(t, log['rc.v0'], label=r'$\\lambda = 1/2$')\n", + "ax.plot(t, log['rc.v1'], label=r'$\\lambda = 1$')\n", + "ax.plot(t, log['rc.v2'], label=r'$\\lambda = 2$')\n", + "ax.plot(t, log['rc.v0'] - sin_transient(t, 1/2), '--', color='tab:blue', label='Simulation minus transient')\n", + "ax.plot(t, log['rc.v1'] - sin_transient(t, 1), '--', color='tab:orange', label='Simulation minus transient')\n", + "ax.plot(t, log['rc.v2'] - sin_transient(t, 2), '--', color='tab:green', label='Simulation minus transient')\n", + "ax.legend(ncols=2)\n", + "\n", + "ax = fig.add_subplot(2, 2, 2)\n", + "ax.set_title('Derived cosines')\n", + "ax.set_ylim(-1.1, 1.1)\n", + "ax.plot(t, sin_periodic(t, 0.5), '--', color='tab:blue') \n", + "ax.plot(t, sin_periodic(t, 1), '--', color='tab:orange')\n", + "ax.plot(t, sin_periodic(t, 2), '--', color='tab:green')\n", + "\n", + "ax = fig.add_subplot(2, 2, 3)\n", + "ax.set_title('Derived transients')\n", + "ax.set_ylim(-1.1, 1.1)\n", + "ax.plot(t, sin_transient(t, 0.5), label=r'$\\lambda=1/2$')\n", + "ax.plot(t, sin_transient(t, 1), label=r'$\\lambda=1/2$')\n", + "ax.plot(t, sin_transient(t, 2), 'k:', label=r'$\\lambda=1/2$')\n", + "ax.legend()\n", + "\n", + "ax = fig.add_subplot(2, 2, 4)\n", + "ax.set_title('Simulations minus derived cosines')\n", + "ax.set_ylim(-1.1, 1.1)\n", + "ax.plot(t, log['rc.v0'] - sin_periodic(t, 0.5))\n", + "ax.plot(t, log['rc.v1'] - sin_periodic(t, 1))\n", + "ax.plot(t, log['rc.v2'] - sin_periodic(t, 2), 'k:')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "0a7221fa", + "metadata": {}, + "source": [ + "## General frequency response\n", + "\n", + "To see how the above examples generalise, we start with an impulse response $h(t)$ **for a stable system**, a cosine input, and $t >= 0$:\n", + "\n", + "$$u(t) = \\cos(\\omega t)$$\n", + "to get output\n", + "$$y(t) = \\int_0^t h(\\tau)\\cos(\\omega(t - \\tau))d\\tau$$\n", + "\n", + "Next, we change the integration bounds to rewrite this as\n", + "\n", + "$$y(t) = \\int_0^\\infty h(\\tau)\\cos(\\omega(t - \\tau))d\\tau - \\int_t^\\infty h(\\tau)\\cos(\\omega(t - \\tau))d\\tau$$" + ] + }, + { + "cell_type": "markdown", + "id": "0ba317ac-8d75-487e-b660-7b5975fff31c", + "metadata": {}, + "source": [ + "The advantage of this formulation becomes apparent by considering the role of $h(\\tau)$ in both terms.\n", + "Because we defined our system as _stable_, its impulse response $h$ should be greatest at $t=0$ and then dampen out.\n", + "As a result, the second integral should become smaller and smaller as we start at larger $t$.\n", + "\n", + "For example, if the impulse response is a decaying exponential in the time domain:" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "dc683065", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(15, 2.5))\n", + "\n", + "f = lambda x: np.exp(-x)\n", + "x = np.linspace(0, 10, 1001)\n", + "y = f(x)\n", + "\n", + "ax = fig.add_subplot(1, 3, 1)\n", + "ax.set_xlim(0, 10); ax.set_ylim(0, 1)\n", + "ax.plot(x, y)\n", + "ax.fill_between(x, y, alpha=0.2)\n", + "ax.text(2, 0.5, r'$\\int h$ from 0 to $\\infty$')\n", + "ax.text(2, 0.35, '$A=1$')\n", + "\n", + "ax = fig.add_subplot(1, 3, 2)\n", + "ax.set_xlim(0, 10); ax.set_ylim(0, 1)\n", + "ax.axvline(x[200], color='k', lw=1)\n", + "ax.plot(x, y)\n", + "ax.fill_between(x[200:], y[200:], alpha=0.2)\n", + "ax.text(2.5, 0.5, r'$\\int h$ from 2 to $\\infty$')\n", + "ax.text(2.5, 0.4, f'$A\\\\approx{np.exp(-2):.3}$')\n", + "\n", + "ax = fig.add_subplot(1, 3, 3)\n", + "ax.set_xlim(0, 10); ax.set_ylim(0, 1)\n", + "ax.axvline(x[400], color='k', lw=1)\n", + "ax.plot(x, y)\n", + "ax.fill_between(x[400:], y[400:], alpha=0.2)\n", + "ax.text(4.5, 0.5, r'$\\int h$ from 4 to $\\infty$')\n", + "ax.text(4.5, 0.4, f'$A \\\\approx{np.exp(-4):.3}$')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "51c3a3f1", + "metadata": {}, + "source": [ + "By contrast, the integral in the first term\n", + "$$y_{ss}(t) = \\int_0^\\infty h(\\tau)\\cos(\\omega(t - \\tau))d\\tau$$\n", + "is always taken from 0 to $\\infty$, so over the full range of $h$, capturing its full \"weight\" of 1.\n", + "\n", + "This splits the system into a **periodic steady-state response** (first term) and a **transient response** (second term).\n", + "\n", + "Assuming that we're only interested in the periodic steady-state response, $y_{ss}$, we can then analyse the system by looking at $y_{ss}$ exclusively:\n", + "\n", + "\\begin{align}\n", + "y_{ss}(t)\n", + " &= \\int_0^\\infty h(\\tau)\\cos(\\omega(t - \\tau))d\\tau \\\\\n", + " &= \\frac{1}{2} \\int_0^\\infty h(\\tau)\\left(e^{i\\omega(t - \\tau)} + e^{-i\\omega(t - \\tau)}\\right)d\\tau \\\\\n", + " &= \\frac{1}{2} e^{i\\omega t} \\int_0^\\infty h(\\tau)e^{-i\\omega\\tau} d\\tau +\n", + " \\frac{1}{2} e^{-i\\omega t} \\int_0^\\infty h(\\tau)e^{i\\omega\\tau} d\\tau \\\\\n", + " &= \\frac{1}{2} e^{i\\omega t} H(i\\omega) + \\frac{1}{2} e^{-i\\omega t} H(-i\\omega) \\\\\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "10125dc2", + "metadata": {}, + "source": [ + "where we have isolated $H(i\\omega)$ and $H(-i\\omega)$: two _evaluations_ of the transfer function!\n", + "\n", + "To go further, we first need to show that $H(-i\\omega)$ and $H(i\\omega)$ are each other's complex conjugates, i.e. $\\overline{H(-i\\omega)}=H(i\\omega)$.\n", + "We can do this simply by writing them out:\n", + "\n", + "\\begin{align}\n", + "H(-i\\omega) = \\int_0^\\infty h(t)e^{i\\omega t}dt\n", + " = \\int_0^\\infty h(t)\\cos(\\omega t)dt + i \\int_0^\\infty h(t)\\sin(\\omega t)dt\n", + "\\end{align}\n", + "\n", + "Here the first and second terms are the real and imaginary parts of $H(-i\\omega)$ (because $h$ and $\\cos$ and $\\sin$ all return real values).\n", + "We do the same for $H(i\\omega)$:\n", + "\n", + "\\begin{align}\n", + "H(i\\omega) &= \\int_0^\\infty h(t)e^{-i\\omega t}dt \\\\\n", + " &= \\int_0^\\infty h(t)\\cos(-\\omega t)dt + i \\int_0^\\infty h(t)\\sin(-\\omega t)dt \\\\\n", + " &= \\int_0^\\infty h(t)\\cos(\\omega t)dt - i \\int_0^\\infty h(t)\\sin(\\omega t)dt \\\\\n", + " &= \\overline{H(-i\\omega)} &\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "490bf0f7", + "metadata": {}, + "source": [ + "Now, using $R=\\operatorname{Re}(H(i\\omega))$ and $I=\\operatorname{Im}(H(i\\omega))$ we can write\n", + "\n", + "\\begin{align}\n", + "y_{ss}(t)\n", + " &= \\frac{1}{2} \\left[ e^{i\\omega t} H(i\\omega) + e^{-i\\omega t} H(-i\\omega) \\right] \\\\\n", + " &= \\frac{1}{2} \\left[ e^{i\\omega t} H(i\\omega) + e^{-i\\omega t} \\overline{H(i\\omega)} \\right] \\\\\n", + " &= \\frac{1}{2} \\left[ e^{i\\omega t} R + i e^{i\\omega t} I + e^{-i\\omega t} R - i e^{-i\\omega t} I \\right] \\\\\n", + " &= \\frac{1}{2} \\left[ (e^{i\\omega t} + e^{-i\\omega t}) R + i (e^{i\\omega t} - i e^{-i\\omega t}) I \\right] \\\\\n", + " &= R\\cos(\\omega t) - I\\sin(\\omega t) \\\\\n", + "\\end{align}\n", + "\n", + "Finally, using the harmonic addition theorem in atan2 form (see above), we get\n", + "\n", + "\\begin{align}\n", + "y_{ss}(t) = |H(i\\omega)| \\cos(\\omega t + \\angle H(i\\omega))\n", + "\\end{align}\n", + "\n", + "where $|H(iw)| = \\sqrt{R^2 + I^2}$ and $\\angle H(i\\omega) = \\operatorname{atan2}(I, R)$.\n", + "\n", + "This shows that we can write a **stable** system's _periodic steady state response_ to a cosine input with frequency $\\omega$ in terms of the transfer function evaluated at $H(i\\omega)$.\n", + "If we allow $\\omega$ to vary, the resulting function $H(i\\omega)$ is called the system's _frequency response_.\n", + "\n", + "Repeating the steps above with a sine input, we find\n", + "\n", + "\\begin{align}\n", + "y_{ss,cos}(t) = |H(i\\omega)| \\cos(\\omega t + \\angle H(i\\omega)) \\\\\n", + "y_{ss,sin}(t) = |H(i\\omega)| \\sin(\\omega t + \\angle H(i\\omega))\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "20fb7cbe", + "metadata": {}, + "source": [ + "## Frequency response of filters\n", + "\n", + "A general strategy to analyse filters is to look at $H(i\\omega)$, work out $|H(i\\omega)|$ and $\\angle H(i\\omega)$, and then make a Bode plot.\n", + "\n", + "Below, we show this for three simple filters." + ] + }, + { + "cell_type": "markdown", + "id": "dba28c61", + "metadata": {}, + "source": [ + "### The first-order low-pass filter\n", + "\n", + "We now apply this general procedure to the low-pass filter we analysed before.\n", + "Because we used $\\omega$ for its filter frequency, we'll use $\\phi$ for the input frequency and $H(i\\phi)$ for the frequency response.\n", + "\n", + "\\begin{align}\n", + "H(s) &= \\frac{\\omega}{s + \\omega} \\\\\n", + "H(i\\phi) &= \\frac{\\omega}{\\omega+i\\phi}\n", + " = \\frac{\\omega(\\omega-i\\phi)}{(\\omega+i\\phi)(\\omega-i\\phi)}\n", + " = \\frac{\\omega^2 - i\\omega\\phi}{\\omega^2 + \\phi^2}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "|H(i\\phi)| = \\frac{|\\omega|}{|\\omega+i\\phi|}\n", + " = \\frac{\\omega}{\\sqrt{\\omega^2 + \\phi^2}}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "\\angle H(i\\phi) = \\arctan(-\\omega\\phi / \\omega^2) \n", + " = \\arctan(-\\phi / \\omega)\n", + " = -\\arctan(\\phi / \\omega)\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "083f3e94", + "metadata": {}, + "source": [ + "And so\n", + "\\begin{align}\n", + "y_{ss,\\cos} &= \\frac{\\omega}{\\sqrt{\\omega^2 + \\phi^2}} \\cos\\left(\\phi t - \\arctan(\\phi/\\omega)\\right) \\\\\n", + "y_{ss,\\sin} &= \\frac{\\omega}{\\sqrt{\\omega^2 + \\phi^2}} \\sin\\left(\\phi t - \\arctan(\\phi/\\omega)\\right)\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "fd49d887", + "metadata": {}, + "source": [ + "To make the bode plot:" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "60cca6f0", + "metadata": { + "scrolled": true + }, + "outputs": [], + "source": [ + "def bode(mag, arg, axes=None, lo=1e-2, hi=1e5, **kwargs):\n", + " lo, hi = np.log10(lo), np.log10(hi)\n", + " w = np.logspace(lo, hi, 1001, base=np.e)\n", + "\n", + " if axes is None:\n", + " fig = plt.figure(figsize=(9, 6))\n", + " fig.subplots_adjust(hspace=0.2)\n", + " ax0 = fig.add_subplot(2, 1, 1)\n", + " ax0.set_xscale('log')\n", + " ax0.set_yscale('log')\n", + " ax0.set_ylabel('Gain')\n", + " ax0.grid()\n", + "\n", + " ax1 = fig.add_subplot(2, 1, 2)\n", + " ax1.set_xscale('log')\n", + " ax1.set_xlabel('Angular frequency')\n", + " ax1.set_ylabel('Phase shift (degrees)')\n", + " ax1.grid()\n", + " else:\n", + " ax0, ax1 = axes\n", + "\n", + " label=None\n", + " if kwargs:\n", + " label=','.join(f'{k}={v}' for k, v in kwargs.items())\n", + "\n", + " ax0.plot(w, mag(w, **kwargs), label=None)\n", + " ax1.plot(w, arg(w, **kwargs) * 180 / np.pi, label=label)\n", + " if label is not None:\n", + " ax1.legend()\n", + " \n", + " return ax0, ax1" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "8e2f5c79", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "w_filter = 1\n", + "mag = lambda w: w_filter / np.sqrt(w_filter**2 + w**2)\n", + "arg = lambda w: np.arctan(-w / w_filter)\n", + "bode(mag, arg)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "f05ef4ce-56bf-4f42-82d6-26946020b98f", + "metadata": {}, + "source": [ + "For most purposes, the top panel is the most interesting: showing how the gain starts at 1 but then rapidly decreases for higher frequencies." + ] + }, + { + "cell_type": "markdown", + "id": "159edacf", + "metadata": {}, + "source": [ + "### A first-order high-pass filter\n", + "\n", + "We'll use\n", + "\\begin{align}\n", + "H(s) = \\frac{s}{s + \\omega}\n", + "\\end{align}\n", + "so that\n", + "\\begin{align}\n", + "H(i\\phi) &= \\frac{i\\phi}{\\omega+i\\phi} = \\frac{\\phi^2 + i\\omega\\phi}{\\omega^2-\\phi^2} \\\\\n", + "|H(i\\phi)| &= \\frac{|i\\phi|}{|\\omega+i\\phi|} = \\frac{\\phi}{\\sqrt{\\omega^2+\\phi^2}} \\\\\n", + "\\angle H(i\\phi) &= \\arctan(\\omega / \\phi)\n", + "\\end{align}" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "d5e1ad13", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "w_filter = 1\n", + "mag = lambda w: w / np.sqrt(w_filter**2 + w**2)\n", + "arg = lambda w: np.arctan(w_filter / w)\n", + "bode(mag, arg)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "46a05f40-9663-4394-aa3a-9a85306cf868", + "metadata": {}, + "source": [ + "Here we see a very similar phase shift, but now the filter has gain 1 for high frequencies, and the gain decreases as the frequency is _lowered_." + ] + }, + { + "cell_type": "markdown", + "id": "4291ad50", + "metadata": {}, + "source": [ + "### A second-order system as a filter\n", + "\n", + "Second order systems arise in many situations.\n", + "\n", + "Starting from a form found in the previous notebook\n", + "\\begin{align}\n", + "H(s) = \\frac{1}{s^2 + 2 \\zeta \\omega s + \\omega^2}\n", + "\\end{align}\n", + "we can derive\n", + "\\begin{align}\n", + "|H(i\\phi)| &= \\frac{1}{\\sqrt{(\\omega^2 - \\phi^2)^2 + (2\\zeta\\omega\\phi)^2}} \\\\\n", + "\\angle H(i\\phi) &= \\operatorname{atan2} \\left(2\\zeta\\omega\\phi, \\omega^2 + \\phi^2 \\right)\n", + "\\end{align}" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "070f51b8", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "w_filter = 1\n", + "mag = lambda w, zeta: 1 / np.sqrt((w_filter**2 - w**2)**2 + (2*zeta*w_filter*w)**2)\n", + "arg = lambda w, zeta: np.arctan2(-2*zeta*w*w_filter, w_filter**2 - w**2)\n", + "w_hi = 100\n", + "axes = bode(mag, arg, hi=w_hi, zeta=2)\n", + "axes = bode(mag, arg, axes, hi=w_hi, zeta=1)\n", + "axes = bode(mag, arg, axes, hi=w_hi, zeta=0.5)\n", + "axes = bode(mag, arg, axes, hi=w_hi, zeta=0.3)\n", + "axes = bode(mag, arg, axes, hi=w_hi, zeta=0.1)\n", + "plt.show()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.9" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/tutorial/appendix-a/img/block-diagram-1-series.png b/tutorial/appendix/a-laplace/img/block-diagram-1-series.png similarity index 100% rename from tutorial/appendix-a/img/block-diagram-1-series.png rename to tutorial/appendix/a-laplace/img/block-diagram-1-series.png diff --git a/tutorial/appendix-a/img/block-diagram-2-parallel.png b/tutorial/appendix/a-laplace/img/block-diagram-2-parallel.png similarity index 100% rename from tutorial/appendix-a/img/block-diagram-2-parallel.png rename to tutorial/appendix/a-laplace/img/block-diagram-2-parallel.png diff --git a/tutorial/appendix-a/img/block-diagram-3-negative-feedback.png b/tutorial/appendix/a-laplace/img/block-diagram-3-negative-feedback.png similarity index 100% rename from tutorial/appendix-a/img/block-diagram-3-negative-feedback.png rename to tutorial/appendix/a-laplace/img/block-diagram-3-negative-feedback.png diff --git a/tutorial/appendix-a/img/rc-1-simple.png b/tutorial/appendix/a-laplace/img/rc-1-simple.png similarity index 100% rename from tutorial/appendix-a/img/rc-1-simple.png rename to tutorial/appendix/a-laplace/img/rc-1-simple.png diff --git a/tutorial/appendix-a/1-op-amp.ipynb b/tutorial/appendix/b-op-amps/1-op-amp.ipynb similarity index 98% rename from tutorial/appendix-a/1-op-amp.ipynb rename to tutorial/appendix/b-op-amps/1-op-amp.ipynb index 3a7f40b..6598e43 100644 --- a/tutorial/appendix-a/1-op-amp.ipynb +++ b/tutorial/appendix/b-op-amps/1-op-amp.ipynb @@ -4,8 +4,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Appendix A1: Ideal op amps\n", - "**Appendix A provides extra background for path clamp electronics.**" + "# B1: Ideal op amps" ] }, { @@ -232,7 +231,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.13.11" + "version": "3.13.9" } }, "nbformat": 4, diff --git a/tutorial/appendix-a/3-non-ideal-op-amp.ipynb b/tutorial/appendix/b-op-amps/2-non-ideal-op-amp.ipynb similarity index 99% rename from tutorial/appendix-a/3-non-ideal-op-amp.ipynb rename to tutorial/appendix/b-op-amps/2-non-ideal-op-amp.ipynb index a76669c..d4e29a5 100644 --- a/tutorial/appendix-a/3-non-ideal-op-amp.ipynb +++ b/tutorial/appendix/b-op-amps/2-non-ideal-op-amp.ipynb @@ -5,8 +5,7 @@ "id": "730357a8", "metadata": {}, "source": [ - "# Appendix A3: Non-ideal op amps\n", - "**Appendix A provides extra background for path clamp electronics.**" + "# B2: Non-ideal op amps" ] }, { @@ -14,7 +13,7 @@ "id": "11447cae", "metadata": {}, "source": [ - "In this notebook we go a little bit further than [Appendix A1](./1-op-amp.ipynb) and consider the _speed_ of an op amp, using some of the concepts from [Appendix A2](./2-laplace-and-filters.ipynb).\n", + "In this notebook we consider the _speed_ of an op amp, using some of the concepts from Appendix A.\n", "\n", "Analysis of non-ideal op amps is usually divided into two parts:\n", "- In the _small signal_ range the amplifier acts \"linearly\": its gain within this range does not depend on the absolute values of $V_+$ and $V_-$, and there are no history effects.\n", @@ -647,7 +646,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.13.11" + "version": "3.13.9" } }, "nbformat": 4, diff --git a/tutorial/appendix-b/1-uncompensated-models.ipynb b/tutorial/appendix/b-op-amps/3-uncompensated-models.ipynb similarity index 99% rename from tutorial/appendix-b/1-uncompensated-models.ipynb rename to tutorial/appendix/b-op-amps/3-uncompensated-models.ipynb index a65cda3..2b1e05b 100644 --- a/tutorial/appendix-b/1-uncompensated-models.ipynb +++ b/tutorial/appendix/b-op-amps/3-uncompensated-models.ipynb @@ -5,8 +5,7 @@ "id": "fc24dbb4", "metadata": {}, "source": [ - "# Appendix B1: Models without compensation\n", - "**Appendix B discusses and compares patch clamp model equations**" + "# B3: Models without compensation" ] }, { @@ -14,7 +13,9 @@ "id": "aff7c8af", "metadata": {}, "source": [ - "Based on the discussion in [Appendix A3](../appendix-a/3-non-ideal-op-amp.ipynb) we now look at models of uncompensated patch clamp, with voltage offset and leak current omitted for simplicity." + "At least two models of op-amp speed are found in the literature, and a different choice of op-amp model results in a different voltage clamp model.\n", + "Here we compare two models.\n", + "For simplicity, we focus on uncompensated patch clamp, without voltage offset or leak current." ] }, { @@ -1026,7 +1027,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.13.11" + "version": "3.13.9" } }, "nbformat": 4, diff --git a/tutorial/appendix-a/img/op-amp-1.png b/tutorial/appendix/b-op-amps/img/op-amp-1.png similarity index 100% rename from tutorial/appendix-a/img/op-amp-1.png rename to tutorial/appendix/b-op-amps/img/op-amp-1.png diff --git a/tutorial/appendix-a/img/op-amp-2-no-load.png b/tutorial/appendix/b-op-amps/img/op-amp-2-no-load.png similarity index 100% rename from tutorial/appendix-a/img/op-amp-2-no-load.png rename to tutorial/appendix/b-op-amps/img/op-amp-2-no-load.png diff --git a/tutorial/appendix-a/img/op-amp-3-diff-amp.png b/tutorial/appendix/b-op-amps/img/op-amp-3-diff-amp.png similarity index 100% rename from tutorial/appendix-a/img/op-amp-3-diff-amp.png rename to tutorial/appendix/b-op-amps/img/op-amp-3-diff-amp.png diff --git a/tutorial/appendix-a/img/op-amp-4-generic.png b/tutorial/appendix/b-op-amps/img/op-amp-4-generic.png similarity index 100% rename from tutorial/appendix-a/img/op-amp-4-generic.png rename to tutorial/appendix/b-op-amps/img/op-amp-4-generic.png diff --git a/tutorial/appendix-a/img/op-amp-5-inverting.png b/tutorial/appendix/b-op-amps/img/op-amp-5-inverting.png similarity index 100% rename from tutorial/appendix-a/img/op-amp-5-inverting.png rename to tutorial/appendix/b-op-amps/img/op-amp-5-inverting.png diff --git a/tutorial/appendix-b/2-sigworth-rs.ipynb b/tutorial/appendix/c-rs/1-compensation-prediction.ipynb similarity index 97% rename from tutorial/appendix-b/2-sigworth-rs.ipynb rename to tutorial/appendix/c-rs/1-compensation-prediction.ipynb index 90cafb9..8b85648 100644 --- a/tutorial/appendix-b/2-sigworth-rs.ipynb +++ b/tutorial/appendix/c-rs/1-compensation-prediction.ipynb @@ -5,8 +5,7 @@ "id": "8cb8168d", "metadata": {}, "source": [ - "# Appendix B2: Sigworth 1983/1995 Rs compensation\n", - "**Appendix B discusses and compares patch clamp model equations**\n", + "# C1: Series resistance correction and prediction\n", "\n", "In this notebook, we take a detailed look at the $R_s$ compensation and slow capacitance transient cancellation scheme in figures 18 and 19 of [Sigworth 1995a](https://doi.org/10.1007/978-1-4419-1229-9_4), and re-derive the equations found in [Lei, Clark et al. 2024](https://doi.org/10.1101/2024.07.23.604780v1)." ] @@ -191,7 +190,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.13.11" + "version": "3.13.9" } }, "nbformat": 4, diff --git a/tutorial/appendix-e/1-rs-cm-one-shot.ipynb b/tutorial/appendix/c-rs/2-rs-cm-one-shot.ipynb similarity index 99% rename from tutorial/appendix-e/1-rs-cm-one-shot.ipynb rename to tutorial/appendix/c-rs/2-rs-cm-one-shot.ipynb index 8efa814..dc07080 100644 --- a/tutorial/appendix-e/1-rs-cm-one-shot.ipynb +++ b/tutorial/appendix/c-rs/2-rs-cm-one-shot.ipynb @@ -5,8 +5,7 @@ "id": "7fb2df6f", "metadata": {}, "source": [ - "# Appendix E1: Estimating Rs and Cm; a one-shot approach\n", - "**Appendix E describes Rs and Cm estimation methods**" + "# C2: Estimating $R_s$ and $C_m$ - the one-shot approach" ] }, { @@ -15,8 +14,7 @@ "metadata": {}, "source": [ "During a patch clamp experiment, estimates of $R_s$ and $C_m$ must be made to facilitate slow capacitance and series resistance compensation.\n", - "In this appendix, we will review a \"one-shot\" method that uses current measured during a test pulse without $R_s$ or $C_m$ compensation to make a single prediction.\n", - "In the next appendix, we wil look at an \"iterative\" method that uses currents measured during successive test pulses while $R_s$ and $C_m$ compensations are refined.\n", + "In this notebook, we review a \"one-shot\" method that uses current measured during a test pulse without $R_s$ or $C_m$ compensation to make a single prediction.\n", "\n", "The approach described here is explained in Axon's pCLAMP manual, where it is attributed to Dr. Fernando Garcia-Diaz.\n", "As reference we shall use the pCLAMP 9 User Guide Rev D (later versions are missing equation numbers), as available from [Molecular devices](https://support.moleculardevices.com/s/article/pCLAMP-Software-Manual-Download-Page), starting on page 229." @@ -1368,7 +1366,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.13.11" + "version": "3.13.9" } }, "nbformat": 4, diff --git a/tutorial/appendix-e/2-rs-cm-iterative.ipynb b/tutorial/appendix/c-rs/3-rs-cm-iterative.ipynb similarity index 77% rename from tutorial/appendix-e/2-rs-cm-iterative.ipynb rename to tutorial/appendix/c-rs/3-rs-cm-iterative.ipynb index fe19848..66559fd 100644 --- a/tutorial/appendix-e/2-rs-cm-iterative.ipynb +++ b/tutorial/appendix/c-rs/3-rs-cm-iterative.ipynb @@ -5,8 +5,7 @@ "id": "7fb2df6f", "metadata": {}, "source": [ - "# Appendix E2: Estimating Rs and Cm; an iterative approach\n", - "**Appendix E describes Rs and Cm estimation methods**" + "# C3: Estimating $R_s$ and $C_m$ - iterative approach" ] }, { @@ -14,9 +13,9 @@ "id": "e2ffeda4", "metadata": {}, "source": [ - "Having reviewed the \"one-shot\" approach used in Axon's pCLAMP, we now turn to the iterative method employed in HEKA devices such as the EPC-10.\n", + "In this notebook, we describe the iterate method of estimating $R_s$ and $C_m$ employed in HEKA devices such as the EPC-10.\n", "\n", - "As reference we shall use the EPC-10 hardware manual version 3.1, as available from [HEKA](http://www.heka.com/downloads/downloads_main.html#down_pca), starting on page 57, but more importantly - [Sigworth 1995c](https://doi.org/10.1016/0165-0270(94)00129-5), section 3." + "As reference we shall use the EPC-10 hardware manual version 3.1, as available from [HEKA](http://www.heka.com/downloads/downloads_main.html#down_pca), starting on page 57, and [Sigworth 1995c](https://doi.org/10.1016/0165-0270(94)00129-5), section 3." ] }, { @@ -78,7 +77,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.11.9" + "version": "3.13.9" } }, "nbformat": 4, diff --git a/tutorial/appendix-e/img/rscm-1-circuit.png b/tutorial/appendix/c-rs/img/rscm-1-circuit.png similarity index 100% rename from tutorial/appendix-e/img/rscm-1-circuit.png rename to tutorial/appendix/c-rs/img/rscm-1-circuit.png diff --git a/tutorial/appendix-e/img/rscm-2-protocol.png b/tutorial/appendix/c-rs/img/rscm-2-protocol.png similarity index 100% rename from tutorial/appendix-e/img/rscm-2-protocol.png rename to tutorial/appendix/c-rs/img/rscm-2-protocol.png diff --git a/tutorial/appendix-a/4-bessel-filters.ipynb b/tutorial/appendix/d-filters/1-bessel-filters-laplace.ipynb similarity index 74% rename from tutorial/appendix-a/4-bessel-filters.ipynb rename to tutorial/appendix/d-filters/1-bessel-filters-laplace.ipynb index 58d8908..9bc3fad 100644 --- a/tutorial/appendix-a/4-bessel-filters.ipynb +++ b/tutorial/appendix/d-filters/1-bessel-filters-laplace.ipynb @@ -5,8 +5,7 @@ "id": "044506d5-71e4-43da-8603-ce5103279e28", "metadata": {}, "source": [ - "# Appendix A4: Bessel low-pass filters\n", - "**Appendix A provides extra background for path clamp electronics.**" + "# D1: Bessel low-pass filters in the Laplace domain" ] }, { @@ -15,9 +14,9 @@ "metadata": {}, "source": [ "[Bessel filters](https://en.wikipedia.org/wiki/Bessel_filter) are popular for low-pass filtering in patch clamp hardware.\n", - "Compared to other filter types, they have very little _overshoot_: when you pass a voltage step through a Bessel filter it gets smoothed, but the filtered voltage _almost_ doesn't go beyond the intended step (graphs below!).\n", + "Compared to other filter types, they have very little _overshoot_: when you pass a voltage step through a Bessel filter it gets smoothed, but the filtered voltage _almost_ doesn't go beyond the intended step.\n", "\n", - "In this notebook, we build on the concepts reviewed in [Appendix A2](./2-laplace-and-filters.ipynb) to explore Bessel filters in detail." + "In this notebook, we look at the transfer functions and frequency response of Bessel low-pass filters and explore their effects with SciPy." ] }, { @@ -379,7 +378,7 @@ "id": "b37ae7b1-a52a-4994-a1fc-27ce4472d556", "metadata": {}, "source": [ - "We can then use the method from [Appendix A2](./2-laplace-and-filters) to create a Bode plot:" + "We can then use the method we defined earlier to create a Bode plot." ] }, { @@ -524,9 +523,24 @@ "id": "8c58a7e8-c2f2-4424-a7a2-6c9fa7be2815", "metadata": {}, "source": [ - "## Emulating an analog filter\n", + "## Offline analysis: Emulating filters\n", "\n", - "We can also use SciPy to simulate the effects of an analog filter (i.e. a fitler implemented in electronics) on an analog signal (some fluctuating voltage on a wire).\n", + "To understand filters a bit better, we now take a brief detour into filtering signals _offline_.\n", + "In other words, applying filters to digitally stored data." + ] + }, + { + "cell_type": "markdown", + "id": "67882abe-d34a-4989-815d-e0e1b1a7ca12", + "metadata": {}, + "source": [ + "### Emulating an analog filter with SciPy\n", + "\n", + "An _analog filter_ is a filter implemented in electronics, that acts on an analog signal (a fluctuating voltage in a wire).\n", + "\n", + "\n", + "\n", + "SciPy can _emulate_ the effects of an analog filter (i.e. a filter implemented in electronics) on an analog signal (a fluctuating voltage on a wire).\n", "\n", "For this, we use the method [lsim](https://docs.scipy.org/doc/scipy/reference/generated/scipy.signal.lsim.html)." ] @@ -605,9 +619,9 @@ "id": "3a3c0e89-4181-47c0-9a4d-44e443600e36", "metadata": {}, "source": [ - "## Applying a digital filter\n", + "### Applying a digital filter\n", "\n", - "We can also apply a digital filter.\n", + "We can also use SciPy to _apply_ a digital filter (no emulation needed here!)\n", "\n", "This time we use:\n", "\n", @@ -704,584 +718,6 @@ "ax.legend(ncol=4, framealpha=1)\n", "plt.show()" ] - }, - { - "cell_type": "markdown", - "id": "b473031f-6a1b-4177-b1b8-18ff14f37ae2", - "metadata": {}, - "source": [ - "## Two-pole bessel: the stimulus filter\n", - "\n", - "The HEKA EPC-10 uses a second order Bessel filter in its \"stimulus filter\", which is applied to voltage steps to reduce capacitative transients.\n", - "So we'll have a look at this filter in detail.\n", - "\n", - "First, we'll look at it the conventional way: as a low-pass filter over a _periodic_ signal, analysed in terms of its _frequency response_." - ] - }, - { - "cell_type": "markdown", - "id": "025a8499-c97e-4296-ba5f-99f6210fabaf", - "metadata": {}, - "source": [ - "### Frequency response\n", - "\n", - "The standard equation for a 2-pole Bessel is\n", - "\\begin{align}\n", - "H(s) = \\frac{3}{s^2 + 3s + 3}\n", - "\\end{align}\n", - "\n", - "For the _magnitude_ of its frequency response, we find\n", - "\\begin{align}\n", - "|H(i\\phi)| = \\left| \\frac{3}{(i\\phi)^2 + 3i\\phi + 3} \\right| \n", - " = 3 \\left| \\frac{1}{3 - \\phi^2 + 3\\phi i} \\right|\n", - "\\end{align}\n", - "To calculate this, we use\n", - "\\begin{align}\n", - "\\left| \\frac{1}{a + bi} \\right|\n", - " = \\left| \\frac{a - bi}{a^2 + b^2} \\right|\n", - " = \\sqrt{\\frac{a^2 + b^2}{(a^2 + b^2)^2}}\n", - " = \\frac{1}{\\sqrt{a^2 + b^2}}\n", - "\\end{align}\n", - "for\n", - "\\begin{align}\n", - "|H(i\\phi)| = \\frac{3}{\\sqrt{(3 - \\phi^2)^2 + 9\\phi^2}}\n", - " = \\frac{3}{\\sqrt{\\phi^4 + 3\\phi^2 + 9}}\n", - "\\end{align}" - ] - }, - { - "cell_type": "markdown", - "id": "be6603e6-b235-4c0e-b07f-0cf8670dca35", - "metadata": {}, - "source": [ - "The frequency at which this filter's gain is $1/\\sqrt(2)$ (the 3dB point) is found from:\n", - "\\begin{align}\n", - "\\frac{3}{\\sqrt{\\phi^4 + 3\\phi^2 + 9}} &= \\frac{1}{\\sqrt{2}} \\\\\n", - "\\sqrt{\\phi^4 + 3\\phi^2 + 9} &= 3\\sqrt{2}\\\\\n", - "\\phi^4 + 3\\phi^2 - 9 &= 0 \\\\\n", - "\\phi^2 = \\frac{-3 \\pm \\sqrt{9 + 4\\cdot9}}{2} &= \\frac{3}{2}\\left(-1 \\pm \\sqrt{5} \\right) \\\\\n", - "\\phi = \\pm \\sqrt{\\frac{3}{2}\\left(-1 \\pm \\sqrt{5} \\right)}\n", - "\\end{align}\n", - "By only allowing real and positive numbers, this becomes a single solution, which we'll call $\\omega_0$:\n", - "\\begin{align}\n", - "\\omega_0 = \\sqrt{\\frac{3}{2}\\left(-1 + \\sqrt{5} \\right)} \\approx 1.36\n", - "\\end{align}\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "7a77efcb-d58d-4ce0-b55a-8f04aebaab4d", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
    " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "w = np.linspace(0, 10, 100)\n", - "\n", - "fig = plt.figure(figsize=(12, 3))\n", - "fig.subplots_adjust(hspace=0.2)\n", - "\n", - "# Make a log-log plot, as used in a Bode diagram\n", - "ax = fig.add_subplot(1, 2, 1)\n", - "ax.set_xscale('log')\n", - "ax.set_yscale('log')\n", - "ax.set_ylabel('Gain')\n", - "ax.set_xlabel('Angular frequency (rad/s)')\n", - "ax.grid()\n", - " \n", - "# Plot, letting Numpy work out the absolute value\n", - "ax.plot(w, np.abs(3 / ((w*1j)**2 + 3*(w*1j) + 3)))\n", - " \n", - "# Plot, using the equation we derived\n", - "ax.plot(w, 3 / np.sqrt(w**4 + 3*w**2 + 9), '--')\n", - "\n", - "# Draw lines for w=w0 and gain=1/sqrt(2)\n", - "kw = dict(color='k', lw=1, ls='--')\n", - "ax.axhline(1 / np.sqrt(2), **kw)\n", - "ax.axvline(np.sqrt(3/2 * (np.sqrt(5) - 1)), **kw)\n", - "\n", - "# Show \"negative frequencies\", in an unscaled plot\n", - "w = np.linspace(-10, 10, 100)\n", - "ax = fig.add_subplot(1, 2, 2)\n", - "ax.set_xlabel('Positive and negative frequencies')\n", - "ax.grid()\n", - "ax.plot(w, 3 / np.sqrt(w**4 + 3*w**2 + 9))\n", - "ax.axhline(1 / np.sqrt(2), **kw)\n", - "ax.axvline(np.sqrt(3/2 * (np.sqrt(5) - 1)), **kw)\n", - "ax.axvline(-np.sqrt(3/2 * (np.sqrt(5) - 1)), **kw)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "2bbd7916-2d02-4982-aa38-6cd7d7869e15", - "metadata": {}, - "source": [ - "Now, we scale the filter to place this point at a user-defined cut-off frequency $\\omega_c=10\\,\\text{kHz}=2\\cdot10^4/\\pi\\,\\text{rad}/\\text{s}$:" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "5bf77ab3-a043-4225-adf5-8e6efdf74877", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
    " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "w = np.logspace(3, 5.2, 1000)\n", - "w0 = np.sqrt(3 / 2 * (np.sqrt(5) - 1))\n", - "z = w * w0 / (2e4 * np.pi)\n", - "\n", - "fig = plt.figure(figsize=(9, 3))\n", - "ax = fig.add_subplot()\n", - "ax.set_xscale('log')\n", - "ax.set_yscale('log')\n", - "ax.set_ylabel('Gain')\n", - "ax.set_xlabel('Angular frequency (rad/s)')\n", - "ax.grid()\n", - "ax.plot(w, 3 / np.sqrt(z**4 + 3*z**2 + 9))\n", - "kw = dict(color='k', lw=1, ls='--')\n", - "ax.axhline(1 / np.sqrt(2), **kw)\n", - "ax.axvline(2e4 * np.pi, color='r', label='10 kHz')\n", - "ax.legend()\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "282f4725-b77b-4d25-87a4-a10d6d442716", - "metadata": {}, - "source": [ - "### Step response and rise time" - ] - }, - { - "cell_type": "markdown", - "id": "58b0cc02-af3d-4433-a6f8-bf21812bfa51", - "metadata": {}, - "source": [ - "The HEKA stimulus filter is described as having a [rise time](https://en.wikipedia.org/wiki/Rise_time) of either 20$\\mu$s or 2$\\mu$s.\n", - "See e.g. the EPC-10 hardware manual:\n", - "\n", - "> Two degrees of filtering, specified as the rise times (time from 10% to 90% of the amplitude of a step change) are available in the\n", - "software: 2 µs, which is the minimum required to avoid non-linearity in the internal circuitry, and 20 µs, which is preferable for all but the fastest measurements, to reduce the capacitive transients\n", - "\n", - "To find the transfer function scalings for these settings, we start by working out the _step response_:\n" - ] - }, - { - "cell_type": "markdown", - "id": "1250c164-88d3-4c0b-8204-db88b9d38816", - "metadata": {}, - "source": [ - "From [Appendix A2](./2-laplace-and-filters) we get the step function and its Laplace transform\n", - "\\begin{align}\n", - "u(t) = \\delta(t) && U(s) = \\frac{1}{s}\n", - "\\end{align}\n", - "for output\n", - "\\begin{align}\n", - "Y(s) = H(s)U(s) = \\frac{3}{s(s^2 + 3s + 3)}\n", - "\\end{align}\n", - "\n", - "To solve this, we split into partial coefficients while keeping the second-order term together:\n", - "\n", - "\\begin{align}\n", - "Y(s) = \\frac{3}{s(s^2 + 3s + 3)} \n", - " = \\frac{A}{s} + \\frac{B + Cs}{s^2 + 3s + 3}\n", - "\\end{align}\n", - "\n", - "\\begin{align}\n", - "3 &= A(s^2 + 3s + 3) + Bs + Cs^2 \\\\\n", - " &= (A + C)s^2 + (3A + B)s + 3A\n", - "\\end{align}\n", - "\\begin{align}\n", - "A = 1 && B = -3 && C = -1\n", - "\\end{align}\n", - "\n", - "\\begin{align}\n", - "Y(s) = \\frac{1}{s} + \\frac{-3 - s}{s^2 + 3s + 3}\n", - " = \\frac{1}{s} - \\frac{3 + s}{s^2 + 3s + 3}\n", - "\\end{align}\n", - "\n", - "To save time, we could also have [asked a website](https://www.wolframalpha.com/input?i=partial+fractions+3%2F%28s%28s%5E2+%2B+3s+%2B+3%29%29) or used [SymPy](https://docs.sympy.org/latest/modules/polys/reference.html#sympy.polys.partfrac.apart):" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "id": "f2272c3f-1f19-4018-bf08-e27819d5eb2f", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle - \\frac{s + 3}{s^{2} + 3 s + 3} + \\frac{1}{s}$" - ], - "text/plain": [ - "-(s + 3)/(s**2 + 3*s + 3) + 1/s" - ] - }, - "execution_count": 16, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "from sympy.polys.partfrac import apart\n", - "from sympy.abc import s\n", - "\n", - "apart(3 / (s * (s**2 + 3 * s + 3)))" - ] - }, - { - "cell_type": "markdown", - "id": "cf198535-bb93-4ef0-8a0a-5ff3b2a4fc6e", - "metadata": {}, - "source": [ - "To get the inverse transform, we can write this in pole-zero form:\n", - "\\begin{align}\n", - "Y(s) = \\frac{1}{s} - \\frac{3 + s}{(s + \\sigma - i\\omega)(s + \\sigma + i\\omega)},\n", - "&& \\sigma = 3/2,\n", - "&& \\omega = \\sqrt{3}/2\n", - "\\end{align}\n", - "\n", - "This has the advantage that we can look up the standard solution, e.g. in [Appendix A2](./2-laplace-and-filters)\n", - "\\begin{align}\n", - "F(s) &= \\frac{C_1 + C_2 s}{(s + \\sigma - i\\omega)(s + \\sigma + i\\omega)} \\\\\n", - "f(t) &= \\left( \\frac{C_1 - C_2\\sigma}{\\omega}e^{-\\sigma t} \\sin(\\omega t) + C_2 e^{-\\sigma t} \\cos(\\omega t) \\right) \\theta(t)\n", - "\\end{align}\n", - "\n", - "to find\n", - "\\begin{align}\n", - "y(t) &= \\theta(t) - \\left( \\frac{C_1 - C_2\\sigma}{\\omega}e^{-\\sigma t} \\sin(\\omega t) + C_2 e^{-\\sigma t} \\cos(\\omega t) \\right) \\theta(t) \\\\\n", - "&= \\theta(t) \\left[1 - \\frac{3 - 3/2}{\\sqrt{3}/2}e^{-3/2t} \\sin(\\sqrt{3}/2 t) + e^{-3/2 t} \\cos(\\sqrt{3}/2 t) \\right] \\\\\n", - "&= \\theta(t) \\left[1 - (\\sqrt{3} \\sin(\\sqrt{3}/2 t) + \\cos(\\sqrt{3}/2 t))e^{-3/2t} \\right]\n", - "\\end{align}\n", - "\n", - "Let's plot it:" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "id": "5cf0d88e-a6cf-4abb-b24c-2092a60bd581", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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MQ3eg2NhYTJkyxVB+7Nix2LFjB1avXo20tDQcPnwYM2fOxF133QUfHx8R74Q6muSMImh0Aro428LXleMJiFpbUlJSvYkmRo8ejeTkZNTU1LT4uhxHRkTUMqK1FADAxIkTUVhYiCVLliA3Nxd9+/bF7t274e/vDwDIzc01WrNg2rRpKC0txcqVK/Gvf/0Lzs7OuPfee7Fs2TIR74I6oqQbxhMQUevLy8szOdGERqNBQUEBvL29W3Td2NhYxMTEGLZLSkqYGBARNYGoSQEAvPDCC3jhhRdMHtu4cWO9fS+//DJefvnldoiMrNnRdI4nIGprpiaaMLW/OZRKJZRK5W3HRkRkbUSffYjI3FTVaPFndm0/5DsDXMUOh6hD8vLyMjnRhFwuh5sbk3EiovbGpIDoJqdyilGt1cHd3ga+rrZih0PUIUVERCAhIcFo3969exEeHg6FQiFaXERE1opJAdFNjmfUzjo00M+F6xMQNVFZWRlOnDiBEydOAHVTjp44ccIwLuzmiSOio6ORkZGBmJgYnDlzBuvXr8e6devwyiuvGMpUV1cbrlldXY3s7GycOHECFy5cEOEOiYg6NiYFRDdJySgCAAz0dxE7FCKLkZycjNDQUISGhgJ1s8uFhoZiwYIFgImJIwIDA7F7924kJiZiwIABeOutt/DRRx8ZpiMFgJycHMM1c3NzsXz5coSGhmLGjBki3CERUccm+kBjInMiCAJSMuuSAj8mBURNdc899zS6XoypiSNGjBiB48ePN3hOQEAA16AhImonbCkgusHlokpcLVVDLpXgjq5OYodDRERE1C6YFBDd4HhdK0EfH0eoFDKxwyEiIiJqF0wKiG5wvG48QSi7DhEREZEVYVJAdIMTWXUzD3GQMREREVkRJgVEdao1OpzJLQUA9Od4AiIiIrIiTAqI6py7UopqrQ6OKjn8XO3EDoeIiIio3TApIKrzZ3YxAKBvFycuWkZERERWhUkBUZ2TdUlBP3YdIiIiIivDpICojiEp6MKkgIiIiKwLkwKiukHGf9UNMmZSQERERNaGSQERBxkTERGRlWNSQMRBxkRERGTlmBQQcTwBERERWTkmBUQA/swpAepaCoiIiIisDZMCsnpanYBzebWDjHv7OIodDhEREVG7Y1JAVi/zWgUqa7RQyqUIcOskdjhERERE7Y5JAVm9s3m1XYd6ejpAJuUgYyIiIrI+TArI6p2pW5+gl5eD2KEQERERiYJJAVm9v+paCnp5czwBERERWScmBWT1/spjSwERERFZNyYFZNXK1RpkXqsAmBQQERGRFWNSQFbt3JVSCALQ2UEJN3ul2OEQERERiYJJAVk1dh0iIiIiamFSUFlZiYqKCsN2RkYG4uPjsXfv3taMjajNnWVSQERERAR5S04aN24cJkyYgOjoaFy/fh2DBg2CQqFAQUEBVqxYgeeff771IyVqA2dy62Ye8uLMQ0RE1koQBFy8Woaj6UX4M6cYWdcqcL2iBhqdAEEQ4GJnAzd7G/i72aGXlyP6+Dgi0L0TJBKubUMdR4uSguPHj+PDDz8EAHzzzTfw9PREamoqtm/fjgULFjApIIsgCMLf3Ye82VJARGRtiitqsPm3DOw4fhkXr5Y369zODkoM6eaGod3dcX+IJ1w62bRZnETtoUVJQUVFBRwcat9E7d27FxMmTIBUKsXgwYORkZHRrGutWrUK77//PnJzc9GnTx/Ex8dj+PDhDZZXq9VYsmQJNm/ejLy8PHTt2hXz58/HM88805JbISuWX6pGcWUNZFIJunW2FzscIiJqJ1U1WqzZfxHrDqajVK0BANjIpRjo54yBfi4IcO8Ed3sbKGRSCAJQVFGNq6VqXLxajr/ySnA6pwRXS9X47kQOvjuRA5lUgiHd3DCmnzei+nrB2Y4JAlmeFiUF3bt3x7fffovx48djz549mDNnDgAgPz8fjo5N74axbds2zJ49G6tWrcLQoUPx6aefIioqCqdPn4afn5/Jcx5//HFcuXIF69atQ/fu3ZGfnw+NRtOS2yArd/5KGQDA39UOKoVM7HCIiKgdpGYW4ZWvfze0DPTycsAzwwIR1dcLDipFk65RVaNFauZ1JF0swM9n8nE6twQHzxfg4PkCLPz+FB7o44WJd/oiIsgNUim7GJFlkAiCIDT3pG+++QZPPvkktFotRo0aZRhgHBcXhwMHDuDHH39s0nUGDRqEgQMHYvXq1YZ9ISEhePjhhxEXF1ev/E8//YRJkyYhLS0Nrq6uzQ0bAFBSUgInJycUFxc3K4Ghjmfj4XQs2nUa9/f2xGdTwsUOh6hNWHudZ+33T8b+71gW5n97EjVaAZ0dlFjwUG882M/7tt+4pxeUY/fJXOz6PcfQLRUAfF1tMelOPzxxlx9c2b2I2sHt1Hktmn3o0UcfRWZmJpKTk/HTTz8Z9o8aNcow1uBWqqurkZKSgsjISKP9kZGROHLkiMlzvv/+e4SHh+O9995Dly5d0LNnT7zyyiuorKxs8Puo1WqUlJQYvYgA4MLV2paC7h7sOkRE1JEJgoAP9p7Fa9v/QI1WQFRfLyTMuRtj+/u0yif5ge6d8OLI7vhp9t3478vD8NRgPzio5Mi6Von395zF4Lj/4bVvfsepnOJWuR+ittCi7kMA4OXlBS8vL6N9d911V5PPLygogFarhaenp9F+T09P5OXlmTwnLS0Nhw4dgkqlws6dO1FQUIAXXngB165dw/r1602eExcXh8WLFzc5LrIeF/LrkgKOJyAi6tDifz6Pj3+5AACYNaoHZo3q0Wbdevp2ccLbXfph/pje2H0yF18kXcIfl4vxf8mX8X/Jl3FXoCueHhKA+3t7Qi7jclFkPlqUFIwcObLRabh++eWXJl/r5usIgtDgtXU6HSQSCbZs2QInJycAwIoVK/Doo4/ik08+ga2tbb1zYmNjERMTY9guKSmBr69vk+OjjutCfm1/UrYUEBF1XBsOp+Pf/zsPAHjzod6YPiywXb6vrY0Mj4R1xYSBXXA88zo2HrmEH0/m4mj6NRxNvwYfJxUmRwRg0p2+nLmIzEKLkoIBAwYYbdfU1ODEiRP4888/MXXq1CZdw93dHTKZrF6rQH5+fr3WAz1vb2906dLFkBCgbgyCIAi4fPkyevToUe8cpVIJpVLZxDsja3G9ohoFZWoAQDcmBUREHdLhCwV4+4czAIBXRwe3W0JwI4lEgjB/F4T5uyBvTAg2/5qB/xzNRE5xFZb99Bf+/b9zGB/aBVOHBHDNHBJVi5KChsYNLFq0CGVlZU26ho2NDcLCwpCQkIDx48cb9ickJGDcuHEmzxk6dCi+/vprlJWVwd6+9o3cuXPnIJVK0bVr15bcClkpfdchHycV7JUt7kVHRERmKud6JV78z3FodQImhHbBC/d0EzskeDmp8MroYLx0b3d8/3sONh6+hNO5JfjqaBa+OpqFId3cMG1IAEaFeELGWYuonbVqZ7annnqqwb79psTExODzzz/H+vXrcebMGcyZMweZmZmIjo4G6rr+TJkyxVD+ySefhJubG55++mmcPn0aBw4cwKuvvopnnnnGZNchoobokwK2EhARdTyCIOC1b/7A9Yoa9OvihHcm9DOr1YdVChkeD/fFDzOH4f+ei8CYfl6QSoAjFwvx/75MwT3L9+Hzg2korqwRO1SyIq36EWlSUhJUKlWTy0+cOBGFhYVYsmQJcnNz0bdvX+zevRv+/v4AgNzcXGRmZhrK29vbIyEhAS+//DLCw8Ph5uaGxx9/HG+//XZr3gZZAcMgYyYFREQdzubfMnHoQgFUCin+PWmA2a5FI5FIcFegK+4KdEX29Up8mZSBrccykXWtEm//cAYf7D2HR8K6YNqQAHT3cBA7XOrgWrROwYQJE4y2BUFAbm4ukpOT8eabb2LhwoWtGWOr4pzVBADTNhxF4tmrWDq+L/45yF/scIjajLXXedZ+/9Yor7gK936QiIpqLRaO7Y2nh7b/OILbUVmtxbcnsrHx8CWcvfL3mgdDurlh4p2+GN3Hy2yTHBLf7dR5LWopuHGgLwBIpVIEBwdjyZIl9dYdIDJHnI6UiKhjeu+nv1BRrcVAP2dMjQgQO5xms7WR4Ym7/DDpTl8kpRViw+FL+PnMFRy5WIgjFwvhZKvA+NAueDzcF719mOhS62lRUrBhw4bWj4SonVRWa5F9vXbBO3YfIiLqOI5nFmFHajYAYOHYPm22FkF7kEgkGNLNHUO6ueNyUQW+Tr6Mb1IuI/t6JTYeuYSNRy7hjq5OeGRgV4zp543ODpxpkW4Pp10hq3PxahkEAXCxU8DNnpUoEVFHIAgCltZNP/poWFf093UWO6RW09XFDnPu74mZo3rg0IUC/N+xLOw9nYc/Lhfjj8vFWLzrFIZ2d8fY/j4Y3ccLTrYKsUMmC9TkpMDFxaXJI/evXbt2OzERtamLVznImIioozl0oQApGUVQyqV4dXSw2OG0CZlUghE9O2NEz84oLFPjuxM5+O73HPyedR0Hzxfg4PkCvLHzT9zdszMi+3hiVC8PfvhFTdbkpCA+Pr5tIyFqJ2lXa1cyDnJnUkBE1BEIgoB//1y7avETd/nB07HpMyFaKjd7JZ4ZFohnhgUio7Acu37PwXcncnA+vww/n7mCn89cgUQChPm54P7enrivtyeC3DuZ1dSsZF6anBQ0daViInOXXlCbFAR27iR2KERE1AqSLhYiOaMINnIpnjeDRcram79bJ7x0bw+8OLI7/sorxZ5TeUg4fQWnckqQnFGE5IwixP34F7o422JYd3cM7eGOod3c2IpARlo0puDGtQNM8fPza2k8RG3uUmFdUuDOpICIqCNYcyANADDpTl+raCVoiEQiQYi3I0K8HTH7vp7IuV6Jn89cQcLpK/g1rRDZ1yuxLTkL25KzAAC9vR0xKMgVA/1cEObvAh9nLgRrzVqUFAQEBDTa/KTVam8nJqI2IwgC0q8yKSAi6iguXi3DgXNXIZEAM4YFiR2OWfFxtsWUiABMiQhARbUGR9Ov4fCFAhy6UIgzuSU4XffacPgSAMDLUYUwfxeE+jnjjq7O6OXtAEcVBy1bixYlBampqUbbNTU1SE1NxYoVK7B06dLWio2o1RWUVaNUrYFEAvi52okdDhER3aYvkzIAAKN6ecDPjfV6Q+xs5Lgn2AP3BHsAAArK1DhysRApl67heOZ1nM4tQV5JFX44mYsfTuYazuvqYosQb0f0rmuB6O5hDz9XO9jIpSLeDbWFFiUF/fv3r7cvPDwcPj4+eP/99+uteExkLvRdh3ycbLkiJBGRhSutqsE3KZcBAFOHWN5CZWJyt1fiH/198I/+PgCAimoN/rhcjOOZRTiecR1nckuQfb0Sl4tqXwmnrxjOlUpqp0kNdO9kePm72aGLsy28nFRwYOuCRWrVdQp69uyJY8eOteYliVqVvutQEAcZE7WqAwcO4P3330dKSgpyc3Oxc+dOPPzww42es3//fsTExODUqVPw8fHBa6+9hujoaKMy27dvx5tvvomLFy+iW7duWLp0KcaPH9/Gd0OW4rsTOShTa9CtcycM6+4udjgWzc5GjsFBbhgc5GbYd72iGmdyS3Emt6T2lVeC9KvlKK/WIvNaBTKvVWD/uav1ruWglMPbWQVvJ1v4OKvg5WgLV3sbuHWygWunv/91trOBzIIXmOtoWpQUlJSUGG0LgoDc3FwsWrQIPXr0aK3YiFpdel1LQYAbkwKi1lReXo7+/fvj6aefxiOPPHLL8unp6RgzZgyeffZZbN68GYcPH8YLL7yAzp07G85PSkrCxIkT8dZbb2H8+PHYuXMnHn/8cRw6dAiDBg1qh7sic6dvJXjiLj9OtdkGnO1sENHNDRHd/k4UBEHA1VI10grKcamgHOkF5UgrKEfWtQrkXK9ESZUGpWoNSq+U4dyVskavL5XUfg9nOwUcVAo4KOWwV8phr5LDQSWv3VbJYa9UoJNSBqVcCqVCBpVcBqVC+ve/ChlUhmNSyKQS/jy0QIuSAmdn53oPWxAE+Pr6YuvWra0VG1Gr4yBjorYRFRWFqKioJpdfs2YN/Pz8DGvghISEIDk5GcuXLzckBfHx8bj//vsRGxsLAIiNjcX+/fsRHx+Pr776yuR11Wo11Gq1YVv/IVZeXh7Ky8sN+1UqFVxcXKDRaHD1av1POr29vQEABQUFqKmpMTrm7OwMW1tblJeX1/uQzMbGBm5ubtDpdLhy5Qpu5uHhAZlMhmvXrhnFCQAODg6wt7dHZWUlrl+/bnRMLpejc+fOAIDc3FzczN3dHQqFAtevX0dlZaXRsU6dOsHR0RFqtbre4qJSqRSenp4AgCtXrkCn0xkdd3V1hVKpRElJidHzAwBbW1s4OzujpqYGBQUFDT7Dq1evQqPRmHyGZWVlKC0tNTqmVCrh6uoKrVaL/Pz8etf19PSEVCpF8rnLOJF1HTIJEOEtR25uLhwdHdGpUyeTz1ChUMDd3b3BZ9i5c2fI5XIUFRWhqqrK6Ji9vT0cHBxMPkOZTAYPD48Gn6GbmxtsbGxMPkM7Ozs4OTmZfIYSiQReXl4NPkMXFxeoVCqTz1D/893QM/Ty8oJEIkFhYSGqq6uNjjk5OcHOzg4VFRUoLi42Oqb/+e7soIS2vAj+vgqM8HUGULt6tIeHB6o0Av7KvIKswjJcKa3G1bIa5JdVo6wGKFbrUFBahWvl1ShVa6ETgGvl1bhWbhxDa5BJAblEArmsNkmQSWD8r1QCG4UcCpkUEkEABB0gASQAJJLa3w2FvPZtsqamBhIJIKkrIAGgVNpAAgk0mhoIgmA4T1L3syaTyaDVaqHRaCDogxIESKRSKBQKCIKA6upqCMLfMQt1zxh143V1OqFub+1/ZTJZ3XV1xtdFbWwKhQI1lcY/Y83RoqRg3759RttSqRSdO3dG9+7dIZe3ao8kolbF6UiJzENSUhIiIyON9o0ePRrr1q1DTU0NFAoFkpKSMGfOnHplGltMMy4uDosXL663f8OGDVCp/p6qsl+/fpgwYQJKSkqwdu3aeuUXLlwIAPjuu+9w+fJlo2Pjx4/HHXfcgVOnTuHHH380OtatWzc89dRTqKmpMXndV155BZ06dcKePXtw7tw5o2ORkZGIiIhAWloavvnmG6NjXl5eeO655wAA69atqzfL3/PPPw8PDw8cOHCg3mQgQ4cOxX333Yfc3Fx88cUXRsccHBwQExMDANiyZUu9N5dTp05FQEAAjh49isOHDxsdCw0NxT/+8Q8UFRXVu1eZTIY33ngDALBjxw7k5eUZHX/00UfRp08fnDx5Env37jU61rNnTzzxxBOoqqoy+Qznzp0LpVKJj77/FYAtfCTX8c2WDUBdcnrXXXfh/Pnz2Llzp9F5Xbt2xfTp0wHA5HVffvlluLq6Yt++fTh58qTRsREjRuCee+5BVlYWtmzZYnTMxcUFM2fOBABs2rQJFRUVRsefeeYZ+Pr6IikpCb/++qvRsfDwcDz44IMoKCioF5ONjY0hIf7666/rJa+TJk1CcHAwUlNT8csvvxgd6927Nx577DGUl5ebvNf58+dDLpdj165dyMjIMDo2duxYDBw4EH/99Rd27dpldMzf3x/Tpk2DVqs1ed05c+bA0dERaSeO4PTp04b9bgAeu/deDB8+HGfPnsXWrVuhU0lQBTmqBDlsndxw3wMPoUytwTff/YBKjYAayFAtyFADKXz8u0EnlSM3vxDFpeXQQAotpNAKEkBuAy2kqNYYJ2NaHaCFAHWjM2KqGzlmmXTqiiaUMk0iCDfmKB1fSUkJnJycUFxcDEdHR7HDoXak0wkIWfAT1BodEl+5BwFMDMgKiFHnSSSSW44p6NmzJ6ZNm4Z58+YZ9h05cgRDhw5FTk4OvL29YWNjg40bN+LJJ580lPnPf/6Dp59+ut6n7HqmWgp8fX1x9uxZODg4GPazpaCWpbYUCJBg8DsJuFpWg6VjAnFvDxcAYEtBnbZuKRAEoV6ihxt+vk09Q/3Pd1VVFYqKioyO3fjznZeXh5vfmup/vouLi+slXfqf76oqNXKvFkCt0UGrFaARBAiQwMXVDRqdgPyrhajRaGqTBUGARifArpM9pDIFSsvLUVZeCUH/qbxQ+/Ni18keWq0WxcXFhk/lhbrjzs7OEOrqGI1GW3dMgCAAtnZ2UChsUK1Wo7Kq9vdR379GLpfDwcEegk6oV3/UPn9HSKVSlJeVo0ZTYzhPIgFUKluoVCrU1FSjvLzCsB8AZFIZnJwcUVFWiseGBLeozm/xx/rZ2dk4fPgw8vPz6/0C6DNmInOSV1IFtUYHuVSCri5coIVIbKa6od6831SZxvoKK5VKKJX1V2n18vIy+QdSLpcb3ryaon8TaUqnTp3QqZPpDxekUmmj13V1dW3wmK2tLWxtG66jGruus7MznJ2dTR5TKpWNnqtPDkxxdHRs8A2GQqFo9Lr6N3um2Nvbw97e3uQxmUzW4HWPXCzA1bIaONkq8OiQYCjlxrPJ3c4zdHFxafBYR3qGqEtYGmJnZwc7O9NTvEokkhY/Q5VK1ei5+kTIFCcnJzg5OTVwXSUCfbs0eG63zqafUa1bDVJv+LqAzy3ObV8lJS3/wLNFScGGDRsQHR1tyBhvrsCZFJA5Si+o/YTGz9UOchnnVyYSk5eXV71PGvPz8yGXyw1vVBoq09gbL7IOP/1Z+3MR2duzXkJARC3TondGCxYswIIFC1BcXIxLly4hPT3d8EpLS2v9KIlagT4pYLchIvFFREQgISHBaN/evXsRHh4OhULRaJkhQ4a0a6xkXnQ6wZAUjOnX8CfORNQ8LWopqKiowKRJkyCV8tNWshz6pICDjIlaX1lZGS5cuGDYTk9Px4kTJ+Dq6go/Pz/ExsYiOzsbmzZtAgBER0dj5cqViImJwbPPPoukpCSsW7fOaFahWbNm4e6778ayZcswbtw4fPfdd/j5559x6NAhUe6RzMPxzCLkl6rhoJRjSPeGu78QUfO06F399OnT8fXXX7d+NERtiC0FRG0nOTkZoaGhCA0NBQDExMQgNDQUCxYsAOoGdmZmZhrKBwYGYvfu3UhMTMSAAQPw1ltv4aOPPjJa42DIkCHYunUrNmzYgDvuuAMbN27Etm3buEaBlfuxrpXgPnYdImpVLZp9SKvV4qGHHkJlZSX69etnaOrVW7FiRWvG2Ko4+5D1und5ItIKyrFlxiAM5cqXZCWsvc6z9vvvaARBwLBl+5B9vRKfTg7D6D4ND0olska3U+e1qPvQO++8gz179iA4OBi4xUwRROZAo9Uh81rt9F1sKSAiskznrpQh+3ollHIp7u7R8Iw8RNR8LUoKVqxYgfXr12PatGmtHxFRG8gtroJGJ8BGJoW3o6oJZxARkblJPFs7535ENzfY2rDrEFFratGYAqVSiaFDh7Z+NERtJKOwtpWgq6stpFK2ZhERWaJ9dUnBPT3ZSkDU2lqUFMyaNQsff/xx60dD1Eb0XYf8XU0vxEJEROattKoGyZdqV8K9J9hD7HCIOpwWdR86evQofvnlF/z3v/9Fnz596g003rFjR2vFR9Qq9EmBH5MCIiKLdPhCATQ6AYHunTg2jKgNtCgpcHZ2xoQJE1o/GqI2knmtbjVjN/4hISKyRIlnrwIARrDrEFGbaFFSsGHDhtaPhKgNsaWAiMiyHbpQAAAYEcykgKgtcEli6vAEQTAMNPZ3Y1JARGRpsq5V4HJRJeRSCe4KcBU7HKIOqcktBQMHDsT//vc/uLi4IDQ0tNH1CI4fP95a8RHdtuLKGpRWaQAAvi5MCoiILE1SWiEA4I6uTuikbFEnByK6hSb/Zo0bNw5KpdLwNRcpI0uhbyXwcFByXmsiIgv068XapGBwkJvYoRB1WE1OChYuXGj4etGiRa0WwKpVq/D+++8jNzcXffr0QXx8PIYPH37L8w4fPowRI0agb9++OHHiRKvFQx0PxxMQEVkuQRAMLQUR3ZgUELWVFo0pCAoKQmFhYb39169fR1BQUJOvs23bNsyePRvz589Hamoqhg8fjqioKGRmZjZ6XnFxMaZMmYJRo0a1JHyyMoakgOMJiIgsTkZhBXKLq6CQSRDuz/EERG2lRUnBpUuXoNVq6+1Xq9W4fPlyk6+zYsUKTJ8+HTNmzEBISAji4+Ph6+uL1atXN3rec889hyeffBIREREtCZ+sTGYhWwqIiCyVvpVggK8zu4AStaFmjdb5/vvvDV/v2bMHTk5Ohm2tVov//e9/CAwMbNK1qqurkZKSgrlz5xrtj4yMxJEjRxo8b8OGDbh48SI2b96Mt99++5bfR61WQ61WG7ZLSkqaFB91HBl1axRw5iEiIstz7NI1gOMJiNpcs5KChx9+GAAgkUgwdepUo2MKhQIBAQH44IMPmnStgoICaLVaeHp6Gu339PREXl6eyXPOnz+PuXPn4uDBg5DLmxZ6XFwcFi9e3KSy1DFlXasE2FJARGSRjmcUAQDC/F3EDoWoQ2tW9yGdTgedTgc/Pz/k5+cbtnU6HdRqNc6ePYuHHnqoWQHcPIuRIAgmZzbSarV48sknsXjxYvTs2bPJ14+NjUVxcbHhlZWV1az4yLKpNVrkFOuTAq5mTERkSQrK1LhU1wU01I9JAVFbalZLwW+//YZr164hPT3dsG/Tpk1YuHAhysvL8fDDD+Pjjz82TF3aGHd3d8hksnqtAvn5+fVaDwCgtLQUycnJSE1NxUsvvQTUJSmCIEAul2Pv3r249957652nVCqbFA91TNlFlRAEwFYhg7u9jdjhEBFRM+hbCXp62sPJViF2OEQdWrNaChYuXIg//vjDsH3y5ElMnz4d9913H+bOnYtdu3YhLi6uSdeysbFBWFgYEhISjPYnJCRgyJAh9co7Ojri5MmTOHHihOEVHR2N4OBgnDhxAoMGDWrOrZCVyLhhOlKurUFEZFlSMmuTgoFsJSBqc81qKfj999+NBvdu3boVgwYNwmeffQYA8PX1xcKFC5u8jkFMTAwmT56M8PBwREREYO3atcjMzER0dDRQ1/UnOzsbmzZtglQqRd++fY3O9/DwgEqlqrefSC+L05ESEVms1IzrAICBHE9A1OaalRQUFRUZde3Zv38/HnjgAcP2nXfe2aw++xMnTkRhYSGWLFmC3Nxc9O3bF7t374a/vz8AIDc395ZrFhA1JoPTkRIRWaRqjQ6/X65NCjjImKjtNav7kKenp2E8QXV1NY4fP260VkBpaSkUiub1+XvhhRdw6dIlqNVqpKSk4O677zYc27hxIxITExs8d9GiRVzNmBqlX7iM05ESEVmW07klUGt0cLZTIMidE0UQtbVmJQUPPPCAYUrQ2NhY2NnZYfjw4Ybjf/zxB7p169YWcRK1iH7hMl+2FBARWZTfs2pbCQb4OnNMGFE7aFb3obfffhsTJkzAiBEjYG9vjy+++AI2Nn/P6LJ+/XpERka2RZxEzSYIwt8tBUwKiIgsysnsYgDAHV2dxQ6FyCo0Kyno3LkzDh48iOLiYtjb20MmM15u/Ouvv4a9vX1rx0jUIlfL1Kis0UIiAbq42IodDhERNcPJy7VJQb8uTmKHQmQVmpUU6Dk5mf4FdXV1vd14iFqNfuYhHydbKOWyW5YnIiLzUFmtxfn8UgDAHV2ZFBC1h2aNKSCyJBmG8QRsJSAisiSnc4uhE4DODkp4OqrEDofIKjApoA7r7/EEnLWCiMiS6LsO3cGuQ0TthkkBdVj6mYe4cBkRkWX5o26QcV8mBUTthkkBdVj6lgIuXEZEZFn+NMw8xKSAqL0wKaAOK4NJARGRxamo1uBCfhnAmYeI2hWTAuqQKqu1uFqqBriaMRGRRTmbVwqdALjbK+HBQcZE7YZJAXVIWUW1rQQOKjmcbBVih0NERE30V17tVKQh3g5ih0JkVZgUUIekn47Uz9UOEolE7HCIiKiJ/sotAQCEeDuKHQqRVWFSQB2SYTpSdh0iIrIoZ3JrWwp6ebGlgKg9MSmgDinLMMiYaxQQEVkKQRBwJq+2paCXF1sKiNoTkwLqkDgdKRGR5ckprkJplQZyqQTdPezFDofIqjApoA6JSQERkeXRjyfo7mEPGznfohC1J/7GUYej0wlMCoiILJB+5iGOJyBqf0wKqMPJL1WjWqODTCqBtzPnuCYishRn6loKenHmIaJ2x6SAOhx9K4GPswoKGX/EiYgsBVsKiMTDd0zU4RimI+XMQ0REFqNao0N6QTkAoKcnkwKi9sakgDocfVLgy/EEREQWI6OwHFqdAHulHN5O7PpJ1N6YFFCHk8VBxkREFudCfhkAoFvnTlyJnkgETAqow8korG1+ZlJARGQ5ztclBd092HWISAxMCqjDybxWCTApICKyKBcMSQEXLSMSA5MC6lAqqjUoKFMDTAqIiCyKvqWgB5MCIlEwKaAOJauulcDJVgEnO4XY4RBZlVWrViEwMBAqlQphYWE4ePBgo+U/+eQThISEwNbWFsHBwdi0aZPR8ZqaGixZsgTdunWDSqVC//798dNPP7XxXZAYtDoBaVfZUkAkJiYF1KFwJWMicWzbtg2zZ8/G/PnzkZqaiuHDhyMqKgqZmZkmy69evRqxsbFYtGgRTp06hcWLF+PFF1/Erl27DGXeeOMNfPrpp/j4449x+vRpREdHY/z48UhNTW3HO6P2kF1UCbVGBxu5lDPHEYmESQF1KEwKiMSxYsUKTJ8+HTNmzEBISAji4+Ph6+uL1atXmyz/5Zdf4rnnnsPEiRMRFBSESZMmYfr06Vi2bJlRmXnz5mHMmDEICgrC888/j9GjR+ODDz5oxzuj9nA+v3bRsiD3TpBJOfMQkRiYFFCHksU1CojaXXV1NVJSUhAZGWm0PzIyEkeOHDF5jlqthkplPBe9ra0tjh49ipqamkbLHDp0qMFY1Go1SkpKjF5k/jjImEh8TAqoQ+F0pETtr6CgAFqtFp6enkb7PT09kZeXZ/Kc0aNH4/PPP0dKSgoEQUBycjLWr1+PmpoaFBQUGMqsWLEC58+fh06nQ0JCAr777jvk5uY2GEtcXBycnJwML19f31a+W2oLFwyDjDkdKZFYmBRQh6LvPuTvxqSAqL3dvOCUIAgNLkL15ptvIioqCoMHD4ZCocC4ceMwbdo0AIBMJgMA/Pvf/0aPHj3Qq1cv2NjY4KWXXsLTTz9tOG5KbGwsiouLDa+srKxWvUdqG2kFtR/oBHXuJHYoRFZL9KSgObNV7NixA/fffz86d+4MR0dHREREYM+ePe0aL5kvnU5AVhHXKCBqb+7u7pDJZPVaBfLz8+u1HujZ2tpi/fr1qKiowKVLl5CZmYmAgAA4ODjA3d0dANC5c2d8++23KC8vR0ZGBv766y/Y29sjMDCwwViUSiUcHR2NXmT+LtUlBYHuTAqIxCJqUtDc2SoOHDiA+++/H7t370ZKSgpGjhyJsWPHciYKAgDkl6pRrdFBJpXA20nVhDOIqDXY2NggLCwMCQkJRvsTEhIwZMiQRs9VKBTo2rUrZDIZtm7dioceeghSqfGfJpVKhS5dukCj0WD79u0YN25cm9wHiaO4sgaF5dUAgAAmBUSikYv5zW+crQIA4uPjsWfPHqxevRpxcXH1ysfHxxttv/POO/juu++wa9cuhIaGmvwearUaarXasM1BZx2XvutQF2dbyGWiN4IRWZWYmBhMnjwZ4eHhiIiIwNq1a5GZmYno6GigrltPdna2YS2Cc+fO4ejRoxg0aBCKioqwYsUK/Pnnn/jiiy8M1/ztt9+QnZ2NAQMGIDs7G4sWLYJOp8Nrr70m2n1S69O3EnR2UMJeKerbEiKrJtpvn362irlz5xrtb2y2ipvpdDqUlpbC1dW1wTJxcXFYvHjxbcdL5o/TkRKJZ+LEiSgsLMSSJUuQm5uLvn37Yvfu3fD39wcA5ObmGrUCa7VafPDBBzh79iwUCgVGjhyJI0eOICAgwFCmqqoKb7zxBtLS0mBvb48xY8bgyy+/hLOzsyj3SG3jUiG7DhGZA9GSgpbMVnGzDz74AOXl5Xj88ccbLBMbG4uYmBjDdklJCWej6KAy6/6wcDpSInG88MILeOGFF0we27hxo9F2SEjILbt+jhgxAqdPn27VGMn8pOvHE7gxKSASk+jtdM2ZreJGX331FRYtWoTvvvsOHh4eDZZTKpVQKpWtEiuZN848RERkefRJAccTEIlLtKSgJbNV6G3btg3Tp0/H119/jfvuu6+NIyVLoU8KfF2YFBARWQrOPERkHkQbjdnS2Sq++uorTJs2Df/5z3/w4IMPtkOkZCkuFdYmBQHuTAqIiCyBIAh/dx9iUkAkKlG7DzV3toqvvvoKU6ZMwb///W8MHjzY0Mpga2sLJycnMW+FRFZcWYNr+int2C+ViMgiXCuvRkmVBmDXTyLRiZoUNHe2ik8//RQajQYvvvgiXnzxRcP+qVOn1hvERtZF3/zs4aBEJ05pR0RkEfQzD3VxtoVK0fBK1UTU9kR/99Sc2SoSExPbKSqyNByoRkRkedIL2O2TyFxwhSfqEDilHRGR5cmoaynwZ91NJDomBdQh6Jug2VJARGQ5DFNJc30ZItExKaAO4e8p7fiHhYjIUmTpp5JmUkAkOiYFZPFunNKOLQVERJYj81olAMCPSQGR6JgUkMUrqqj5e0o7VyYFRESWoKJag4IyNcCWAiKzwKSALJ6+lcDHSQVbG05pR0RkCS4X1bYSOKrkcLJViB0OkdVjUkAW7xK7DhERWZzMulXo/bhoGZFZYFJAFo8zDxERWR79zEMcT0BkHpgUkMVL4xoFREQWJ6uobuYhFyYFROaASQFZPHYfIiKyPJyOlMi8MCkgi6bVCbiQXwYA6O5hL3Y4RETUROw+RGRemBSQRcsuqoRao4ONXApfF1uxwyEioiYQBAFZdWsUsKWAyDwwKSCLdj6/FAAQ5N4Jchl/nImILEFBWTUqa7SQSIAuzvxAh8gc8F0UWbTzdV2Heng6iB0KERE1kX6QsbejCjZyvhUhMgf8TSSLdv5KXVLA8QRERBYju27hsq6ceYjIbDApIIum7z7EpICIyHJkX69NCrpwLBiR2WBSQBZLd8PMQz08mRQQEVkKfUuBj7NK7FCIqA6TArJYOcWVqKjWQiGTwJ8LlxERWYwcfUuBM7sPEZkLJgVksc7m1XYdCnTvBAVnHiIishj67kNsKSAyH3wnRRbrVE4JAKC3t6PYoRARUTPok4KuHFNAZDaYFJDFOpVTDADo4+MkdihERNREJVU1KK3SAAB8uEYBkdlgUkAWS99S0MeHLQVERJZCP57AxU4BOxu52OEQUR0mBWSRiitqcLlu9oreTAqIiCzG3zMPsZWAyJwwKSCLdCq3tutQVxdbONvZiB0OERE1kWGNAiYFRGaFSQFZpJOX9eMJ2EpARGRJ/p55iEkBkTlhUkAWKTmjCAAQ5u8idihERNQM+u5DnHmIyLwwKSCLIwgCUuqSgvAAV7HDISKiZshh9yEis8SkgCxOWkE5rpVXQymXoi+nIyUisijsPkRknpgUkMU5dL4AADDA1xk2cv4IExFZimqNDvmlaoBJAZHZ4Tsqsjj7zuYDAEb28hA7FCIiaob80ioIAmAjk8LdnjPHEZkTJgVkUSqqNUi6WAgAuJdJARGRRblSUgUA8HBUQiKRiB0OEd1A9KRg1apVCAwMhEqlQlhYGA4ePNho+f379yMsLAwqlQpBQUFYs2ZNu8VK4vvxZB7UGh383ezQw8Ne7HCIiKgZcotrkwIvR5XYoRDRTURNCrZt24bZs2dj/vz5SE1NxfDhwxEVFYXMzEyT5dPT0zFmzBgMHz4cqampmDdvHmbOnInt27e3e+zU/rQ6AZ8fSgcAPBbWlZ8yERFZmDx9UuDEpIDI3MjF/OYrVqzA9OnTMWPGDABAfHw89uzZg9WrVyMuLq5e+TVr1sDPzw/x8fEAgJCQECQnJ2P58uV45JFHTH4PtVoNtVpt2C4pKWlRrKdyihGz7fd6+wUI9ffV31VX1sQ+E4UbON3kgYbKNvW6DcfajPtqMOBbx9ScuIoqqqHW6OCgkuOfg/yb9k2JiMhs6LsPsaWAyPyIlhRUV1cjJSUFc+fONdofGRmJI0eOmDwnKSkJkZGRRvtGjx6NdevWoaamBgqFot45cXFxWLx48W3HW1Wjxdkrpbd9Hbo9CpkEyx65Ay6dOECNiMjS5JXUfkjHlgIi8yNaUlBQUACtVgtPT0+j/Z6ensjLyzN5Tl5ensnyGo0GBQUF8Pb2rndObGwsYmJiDNslJSXw9fVtdrzdPRywZcYgk8dMdmJpoGeLxMQBU71gGuoYY6rLTEO9aEztNl3W9AVuO64mf/+mPxcvJxXc7ZUNREFEROYsr7h2jQJPthQQmR1Ruw/BxJtJQRAa7Stuqryp/XpKpRJK5e2/iXSyVWBod/fbvg4REZG1yqvrPuTNlgIisyPaQGN3d3fIZLJ6rQL5+fn1WgP0vLy8TJaXy+Vwc3Nr03iJiIio5QRBwJXi2u5DbCkgMj+iJQU2NjYICwtDQkKC0f6EhAQMGTLE5DkRERH1yu/duxfh4eEmxxMQERGRebhWXo1qrQ5gUkBklkSdkjQmJgaff/451q9fjzNnzmDOnDnIzMxEdHQ0UDceYMqUKYby0dHRyMjIQExMDM6cOYP169dj3bp1eOWVV0S8CyIiIroVfdcht042sJGLvkwSEd1E1DEFEydORGFhIZYsWYLc3Fz07dsXu3fvhr9/7XSTubm5RmsWBAYGYvfu3ZgzZw4++eQT+Pj44KOPPmpwOlIiIiIyD4bpSDmegMgsiZ6qv/DCC7h06RLUajVSUlJw9913G45t3LgRiYmJRuVHjBiB48ePQ61WIz093dCqQERE4mruCvWffPIJQkJCYGtri+DgYGzatKlemfj4eAQHB8PW1ha+vr6YM2cOqqqq2vAuqK3k1Y0n4BoFROZJ9NmHiIjI8ulXqF+1ahWGDh2KTz/9FFFRUTh9+jT8/PzqlV+9ejViY2Px2Wef4c4778TRo0fx7LPPwsXFBWPHjgUAbNmyBXPnzsX69esxZMgQnDt3DtOmTQMAfPjhh+1+j3R7DNORsqWAyCyJ3lJARESW78YV6kNCQhAfHw9fX1+sXr3aZPkvv/wSzz33HCZOnIigoCBMmjQJ06dPx7JlywxlkpKSMHToUDz55JMICAhAZGQknnjiCSQnJ7fjnVFryeNqxkRmzepaCvTrGpSUlIgdChFRm9PXdfq6ry20ZIV6tVoNlcr4zaGtrS2OHj1qWKF+2LBh2Lx5M44ePYq77roLaWlp2L17N6ZOndpgLGq1Gmq12rBdXFwMsM43C5lXCqFTV8BRWsP/H0Rt5LbqfMHKZGVlCQD44osvvqzqlZWV1Wb1anZ2tgBAOHz4sNH+pUuXCj179jR5TmxsrODl5SUkJycLOp1OOHbsmODh4SEAEHJycgzlPvroI0GhUAhyuVwAIDz//PONxrJw4ULRnzVffPHFl9ivixcvNrsut7qWAh8fH2RlZcHBwaHRlZNNKSkpga+vL7KysuDo6NhmMbYVxi8uxi8ua41fEASUlpbCx8enTeNDM1eof/PNN5GXl4fBgwdDEAR4enpi2rRpeO+99yCTyQAAiYmJWLp0KVatWoVBgwbhwoULmDVrFry9vfHmm2+avG5sbCxiYmIM29evX4e/vz8yMzPh5OTUqvfb0Vn674yY+OxuD59fyxUXF8PPzw+urq7NPtfqkgKpVIquXbve1jUcHR0t+oeU8YuL8YvLGuNv6zfDLVmh3tbWFuvXr8enn36KK1euwNvbG2vXroWDgwPc3d2BusRh8uTJmDFjBgCgX79+KC8vx//7f/8P8+fPh1Raf1icUqmEUqmst9/Jycmi/7+LydJ/Z8TEZ3d7+PxazlT9eMtz2iQSIiKyGi1ZoV5PoVCga9eukMlk2Lp1Kx566CHDH7OKiop6f9hkMhkEQWjTMRJERNbI6loKiIio9cXExGDy5MkIDw9HREQE1q5dW2+F+uzsbMNaBOfOncPRo0cxaNAgFBUVYcWKFfjzzz/xxRdfGK45duxYrFixAqGhoYbuQ2+++Sb+8Y9/GLoYERFR62BS0AxKpRILFy402TRtCRi/uBi/uBh/22ruCvVarRYffPABzp49C4VCgZEjR+LIkSMICAgwlHnjjTcgkUjwxhtvIDs7G507d8bYsWOxdOnSJsdl7s/NnPHZtRyf3e3h82u523l2EoFtsEREREREVo1jCoiIiIiIrByTAiIiIiIiK8ekgIiIiIjIyjEpICIiIiKyckwKGhEQEACJRGL0mjt3bqPnCIKARYsWwcfHB7a2trjnnntw6tSpdotZ79KlS5g+fToCAwNha2uLbt26YeHChaiurm70vGnTptW758GDB7db3KtWrUJgYCBUKhXCwsJw8ODBRsvv378fYWFhUKlUCAoKwpo1a9ot1hvFxcXhzjvvhIODAzw8PPDwww/j7NmzjZ6TmJhY71lLJBL89ddf7Ra33qJFi+rF4eXl1eg55vLs0cDvqkQiwYsvvmiyvNjP/sCBAxg7dix8fHwgkUjw7bffGh1vaT2yfft29O7dG0qlEr1798bOnTvb8C7MX3PrE6rVkvqMTIuLi4NEIsHs2bPFDsUiZGdn46mnnoKbmxvs7OwwYMAApKSkiB2W2dNoNHjjjTcM7/mCgoKwZMkS6HS6Zl2HScEt6KfX07/eeOONRsu/9957WLFiBVauXIljx47By8sL999/P0pLS9stZgD466+/oNPp8Omnn+LUqVP48MMPsWbNGsybN++W5z7wwANG97x79+52iXnbtm2YPXs25s+fj9TUVAwfPhxRUVFG0xjeKD09HWPGjMHw4cORmpqKefPmYebMmdi+fXu7xHuj/fv348UXX8Svv/6KhIQEaDQaREZGory8/Jbnnj171uh59+jRo11ivlmfPn2M4jh58mSDZc3p2QPAsWPHjGLXL6L12GOPNXqeWM++vLwc/fv3x8qVK00eb0k9kpSUhIkTJ2Ly5Mn4/fffMXnyZDz++OP47bff2vBOzFdz6xP62+3UZ/S3Y8eOYe3atbjjjjvEDsUiFBUVYejQoVAoFPjxxx9x+vRpfPDBB3B2dhY7NLO3bNkyrFmzBitXrsSZM2fw3nvv4f3338fHH3/cvAsJ1CB/f3/hww8/bHJ5nU4neHl5Ce+++65hX1VVleDk5CSsWbOmjaJsuvfee08IDAxstMzUqVOFcePGtVtMN7rrrruE6Ohoo329evUS5s6da7L8a6+9JvTq1cto33PPPScMHjy4TeNsivz8fAGAsH///gbL7Nu3TwAgFBUVtWtspixcuFDo379/k8ub87MXBEGYNWuW0K1bN0Gn05k8bk7PHoCwc+dOw3ZL65HHH39ceOCBB4z2jR49Wpg0aVIbRW7emlufUMOaUp+RsdLSUqFHjx5CQkKCMGLECGHWrFlih2T2Xn/9dWHYsGFih2GRHnzwQeGZZ54x2jdhwgThqaeeatZ12FJwC8uWLYObmxsGDBiApUuXNtr9Jj09HXl5eYiMjDTsUyqVGDFiBI4cOdJOETesuLgYrq6utyyXmJgIDw8P9OzZE88++yzy8/PbPLbq6mqkpKQYPTsAiIyMbPDZJSUl1Ss/evRoJCcno6ampk3jvZXi4mIAaNLzDg0Nhbe3N0aNGoV9+/a1Q3SmnT9/Hj4+PggMDMSkSZOQlpbWYFlzfvbV1dXYvHkznnnmGUgkkkbLmsuzv1FL65GG/p+YQ93T3lpSn1DDmlOfUa0XX3wRDz74IO677z6xQ7EY33//PcLDw/HYY4/Bw8MDoaGh+Oyzz8QOyyIMGzYM//vf/3Du3DkAwO+//45Dhw5hzJgxzboOVzRuxKxZszBw4EC4uLjg6NGjiI2NRXp6Oj7//HOT5fPy8gAAnp6eRvs9PT2RkZHRLjE35OLFi/j444/xwQcfNFouKioKjz32GPz9/ZGeno4333wT9957L1JSUtp0ZcGCggJotVqTz07/XG+Wl5dnsrxGo0FBQQG8vb3bLN7GCIKAmJgYDBs2DH379m2wnLe3N9auXYuwsDCo1Wp8+eWXGDVqFBITE3H33Xe3a8yDBg3Cpk2b0LNnT1y5cgVvv/02hgwZglOnTsHNza1eeXN99gDw7bff4vr165g2bVqDZczp2d+spfVIQ/9PGvr96chaUp+QaU2tz+hvW7duxfHjx3Hs2DGxQ7EoaWlpWL16NWJiYjBv3jwcPXoUM2fOhFKpxJQpU8QOz6y9/vrrKC4uRq9evSCTyaDVarF06VI88cQTzbqO1SUFixYtwuLFixstc+zYMYSHh2POnDmGfXfccQdcXFzw6KOPGloPGnLzp5OCINzyE8umak78ejk5OXjggQfw2GOPYcaMGY2eO3HiRMPXffv2RXh4OPz9/fHDDz9gwoQJrXAHjWvuszNV3tT+9vTSSy/hjz/+wKFDhxotFxwcjODgYMN2REQEsrKysHz58nZ/YxoVFWX4ul+/foiIiEC3bt3wxRdfICYmxuQ55vjsAWDdunWIioqCj49Pg2XM6dk3pCX1SFvWPZaIz+P2NbU+o1pZWVmYNWsW9u7dC5VKJXY4FkWn0yE8PBzvvPMOUNeSe+rUKaxevZpJwS1s27YNmzdvxn/+8x/06dMHJ06cwOzZs+Hj44OpU6c2+TpWlxS89NJLmDRpUqNlAgICTO7Xz8Jz4cIFk0mBfraWvLw8o09K8/Pz631i1VLNjT8nJwcjR45EREQE1q5d2+zv5+3tDX9/f5w/f75F8TaVu7s7ZDJZvU/xGnt2Xl5eJsvL5fJGk7a29PLLL+P777/HgQMH0LVr12afP3jwYGzevLlNYmuOTp06oV+/fg3+fzfHZw8AGRkZ+Pnnn7Fjx45mn2suz76l9UhD/09aq+6xJC2pT6i+263PrFFKSgry8/MRFhZm2KfVanHgwAGsXLkSarUaMplM1BjNlbe3N3r37m20LyQkRLQJLCzJq6++irlz5xreH/br1w8ZGRmIi4tjUtAYd3d3uLu7t+jc1NRUoO4H15TAwEB4eXkhISEBoaGhQF3f1v3792PZsmW3EfXfmhN/dnY2Ro4cibCwMGzYsAFSafOHkBQWFiIrK6vNu4PY2NggLCwMCQkJGD9+vGF/QkICxo0bZ/KciIgI7Nq1y2jf3r17ER4eDoVC0abx3kwQBLz88svYuXMnEhMTERgY2KLrpKamitr1Rk+tVuPMmTMYPny4yePm9OxvtGHDBnh4eODBBx9s9rnm8uxbWo9EREQgISHBqIVz7969GDJkSLvEbU5aUp/Q31qrPrNGo0aNqjdz29NPP41evXrh9ddfZ0LQiKFDh9ab+vbcuXPw9/cXLSZLUVFRUe89nkwma/aUpJx9qAFHjhwRVqxYIaSmpgppaWnCtm3bBB8fH+Ef//iHUbng4GBhx44dhu13331XcHJyEnbs2CGcPHlSeOKJJwRvb2+hpKSkXePPzs4WunfvLtx7773C5cuXhdzcXMOrofhLS0uFf/3rX8KRI0eE9PR0Yd++fUJERITQpUuXdol/69atgkKhENatWyecPn1amD17ttCpUyfh0qVLgiAIwty5c4XJkycbyqelpQl2dnbCnDlzhNOnTwvr1q0TFAqF8M0337R5rDd7/vnnBScnJyExMdHoWVdUVBjK3Bz/hx9+KOzcuVM4d+6c8Oeffwpz584VAAjbt29v9/j/9a9/CYmJiUJaWprw66+/Cg899JDg4OBgEc9eT6vVCn5+fsLrr79e75i5PfvS0lIhNTVVSE1NFQAY6pqMjAxBaGI9MnnyZKOZdA4fPizIZDLh3XffFc6cOSO8++67glwuF3799dd2uSdzc6v6hBrWlPqMmo6zDzXN0aNHBblcLixdulQ4f/68sGXLFsHOzk7YvHmz2KGZvalTpwpdunQR/vvf/wrp6enCjh07BHd3d+G1115r1nWYFDQgJSVFGDRokODk5CSoVCohODhYWLhwoVBeXm5UDoCwYcMGw7ZOpxMWLlwoeHl5CUqlUrj77ruFkydPtnv8GzZsEACYfDUUf0VFhRAZGSl07txZUCgUgp+fnzB16lQhMzOz3eL+5JNPBH9/f8HGxkYYOHCg0RR4U6dOFUaMGGFUPjExUQgNDRVsbGyEgIAAYfXq1e0W640aetY3/mzcHP+yZcuEbt26CSqVSnBxcRGGDRsm/PDDD6LEP3HiRMHb21tQKBSCj4+PMGHCBOHUqVMNxi6Y0bPX27NnjwBAOHv2bL1j5vbs9VOi3vyaOnWqIDSxHhkxYoShvN7XX38tBAcHCwqFQujVq5coCaY5aaw+oYY1pT6jpmNS0HS7du0S+vbtKyiVSqFXr17C2rVrxQ7JIpSUlAizZs0S/Pz8BJVKJQQFBQnz588X1Gp1s64jEfSjA4mIiIiIyCpxnQIiIiIiIivHpICIiIiIyMoxKSAiIiIisnJMCoiIiIiIrByTAiIiIiIiK8ekgIiIiIjIyjEpICIiIiKyckwKiIiIiIisHJMCola0aNEiDBgwQOwwiIiojbG+p46GKxoTNZFEImn0+NSpU7Fy5Uqo1Wq4ubm1W1xERNS6WN+TNWJSQNREeXl5hq+3bduGBQsW4OzZs4Z9tra2cHJyEik6IiJqLazvyRqx+xBRE3l5eRleTk5OkEgk9fbd3Jw8bdo0PPzww3jnnXfg6ekJZ2dnLF68GBqNBq+++ipcXV3RtWtXrF+/3uh7ZWdnY+LEiXBxcYGbmxvGjRuHS5cuiXDXRETWh/U9WSMmBURt7JdffkFOTg4OHDiAFStWYNGiRXjooYfg4uKC3377DdHR0YiOjkZWVhYAoKKiAiNHjoS9vT0OHDiAQ4cOwd7eHg888ACqq6vFvh0iImoA63uyZEwKiNqYq6srPvroIwQHB+OZZ55BcHAwKioqMG/ePPTo0QOxsbGwsbHB4cOHAQBbt26FVCrF559/jn79+iEkJAQbNmxAZmYmEhMTxb4dIiJqAOt7smRysQMg6uj69OkDqfTv/NvT0xN9+/Y1bMtkMri5uSE/Px8AkJKSggsXLsDBwcHoOlVVVbh48WI7Rk5ERM3B+p4sGZMCojamUCiMtiUSicl9Op0OAKDT6RAWFoYtW7bUu1bnzp3bOFoiImop1vdkyZgUEJmZgQMHYtu2bfDw8ICjo6PY4RARURthfU/mhGMKiMzMP//5T7i7u2PcuHE4ePAg0tPTsX//fsyaNQuXL18WOzwiImolrO/JnDApIDIzdnZ2OHDgAPz8/DBhwgSEhITgmWeeQWVlJT9JIiLqQFjfkznh4mVERERERFaOLQVERERERFaOSQERERERkZVjUkBEREREZOWYFBARERERWTkmBUREREREVo5JARERERGRlWNSQERERERk5ZgUEBERERFZOSYFRERERERWjkkBEREREZGVY1JARERERGTl/j/HsJfQk5is9AAAAABJRU5ErkJggg==", - "text/plain": [ - "
    " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "t = np.linspace(-5, 10, 1000)\n", - "\n", - "def bessel2_step(t):\n", - " theta = 1 * (t >= 0)\n", - " s = np.sqrt(3)\n", - " return theta * (1 - (s * np.sin(s/2*t) + np.cos(s/2*t)) * np.exp(-3/2*t))\n", - "\n", - "y = bessel2_step(t)\n", - "\n", - "fig = plt.figure(figsize=(9, 3))\n", - "fig.subplots_adjust(hspace=0.2)\n", - "ax = fig.add_subplot(1, 2, 1)\n", - "ax.update(dict(xlabel='Time', ylabel='Stimulus'))\n", - "ax.plot(t, y)\n", - "ax = fig.add_subplot(1, 2, 2)\n", - "ax.set_xlabel('Time')\n", - "ax.axhline(1, color='grey', ls='--', lw=1)\n", - "ax.plot(t, y)\n", - "ax.set_xlim(0, 8)\n", - "ax.set_ylim(0.98, 1.02)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "41011a4c-fe8f-41a9-8654-876546e323f6", - "metadata": {}, - "source": [ - "This looks good! And we can see the near lack of overshoot that makes Bessel filters popular.\n", - "\n", - "We can use the equations above to work out the rise time, but it's probably not a lovely expression so we'll just do it numerically:" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "id": "cb51e2bd-e386-4f81-8c78-c6560157c24d", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0.2999218750000007 0.10001114060500294\n", - "1.8783203124999999 0.8999978202201413\n" - ] - }, - { - "data": { - "image/png": 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", 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    " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from scipy.optimize import fmin\n", - "t10 = fmin(lambda x: (bessel2_step(x) - 0.1)**2, 0.1, disp=False)[0]\n", - "t90 = fmin(lambda x: (bessel2_step(x) - 0.9)**2, 2, disp=False)[0]\n", - "print(t10, bessel2_step(t10))\n", - "print(t90, bessel2_step(t90))\n", - "fig = plt.figure(figsize=(5, 3))\n", - "ax = fig.add_subplot()\n", - "ax.update(dict(xlabel='Time', ylabel='Stimulus'))\n", - "ax.axvline(t10, color='grey', ls='--', lw=1)\n", - "ax.axvline(t90, color='grey', ls='--', lw=1)\n", - "ax.plot(t, y)\n", - "ax.text(4, 0.4, f'Rise time: {t90 - t10:.4}s')\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "3f4b2b36-dfb5-4147-b978-b8f3a0f2d251", - "metadata": {}, - "source": [ - "To emulate a rise time of 20$\\mu$s, we scale $t$:" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "id": "27ab72c2-4304-4024-9dc1-6434d26ce6b3", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0.0038124999999999843 0.10029671636557969\n", - "0.0238125 0.8996055239892486\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
    " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "t = np.linspace(-0.05, 0.1, 1000)\n", - "\n", - "def bessel2_step(t, x):\n", - " theta = 1 * (t >= 0)\n", - " s = np.sqrt(3)\n", - " t = t / 2 * x\n", - " return theta * (1 - (s * np.sin(s*t) + np.cos(s*t)) * np.exp(-3*t))\n", - "\n", - "f = 78.8\n", - "y = bessel2_step(t, f)\n", - "\n", - "t10 = fmin(lambda x: (bessel2_step(x, f) - 0.1)**2, 0.01, disp=False)[0]\n", - "t90 = fmin(lambda x: (bessel2_step(x, f) - 0.9)**2, 0.02, disp=False)[0]\n", - "print(t10, bessel2_step(t10, f))\n", - "print(t90, bessel2_step(t90, f))\n", - "\n", - "fig = plt.figure(figsize=(5, 3))\n", - "ax = fig.add_subplot()\n", - "ax.update(dict(xlabel='Time (ms)', ylabel='Stimulus'))\n", - "ax.axvline(t10, color='grey', ls='--', lw=1)\n", - "ax.axvline(t90, color='grey', ls='--', lw=1)\n", - "ax.plot(t, y)\n", - "ax.text(0.04, 0.4, f'Rise time: {t90 - t10:.4}ms')\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "ec352afe-15bf-47c6-b807-08dda17e8432", - "metadata": {}, - "source": [ - "### Does this match what we measure?\n", - "\n", - "The HEKA EPC-9 has a [paper describing its hardware](), which contains a nice block diagram (Fig 1).\n", - "This shows us that\n", - "\n", - "1. The stimulus filter is applied to the command potential before any other additions (e.g. Cm and Rs compensation)\n", - "2. The \"V monitor\" is read directly from the stimulus filter output, again without any interference from other components.\n", - "\n", - "As a result, we should be able to see the effects of the stimulus filter on a recorded \"V monitor\" signal.\n", - "Here's a recording made using an EPC-10:" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "id": "28bc68e8-3152-428e-b7ae-56f030c1a6bb", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
    " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import myokit\n", - "d = myokit.DataLog.load('./res/stimulus-filter.zip')\n", - "d = d.npview()\n", - "\n", - "fig = plt.figure(figsize=(5, 3))\n", - "fig.subplots_adjust(0.14, 0.15, 0.96, 0.98)\n", - "ax = fig.add_subplot()\n", - "ax.set_xlabel('Time (ms)')\n", - "ax.set_ylabel('Command voltage (mV)')\n", - "\n", - "ax.plot(d.time(), d['v20us'], 's-', label='Recording')\n", - "\n", - "t = d.time()\n", - "y = -100 + 200 * bessel2_step(t - 1, 78.8)\n", - "ax.plot(t, y, label=r'Rise time 20$\\mu$s')\n", - "y = -100 + 200 * bessel2_step(t - 1, 78.8 / 2)\n", - "ax.plot(t, y, label=r'Tweaked 40$\\mu$s')\n", - "\n", - "ax.legend()\n", - "ax.set_xlim(0.9, 1.15)\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "id": "bf5acb58-1e78-45f5-87f3-ec480feb2cd1", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0.03943750000000005\n" - ] - } - ], - "source": [ - "f = 40\n", - "t10 = fmin(lambda x: (bessel2_step(x, f) - 0.1)**2, 0.01, disp=False)[0]\n", - "t90 = fmin(lambda x: (bessel2_step(x, f) - 0.9)**2, 0.02, disp=False)[0]\n", - "assert abs(bessel2_step(t10, f) - 0.1) < 1e-2\n", - "assert abs(bessel2_step(t90, f) - 0.9) < 1e-2\n", - "print(t90 - t10)" - ] - }, - { - "cell_type": "markdown", - "id": "ca357231-a3f2-45e0-9b7e-75f55db23f4e", - "metadata": {}, - "source": [ - "It seems the rise time is roughly twice what is advertised." - ] - }, - { - "cell_type": "markdown", - "id": "e3a94057-262f-4645-a459-dd9d21ef64a9", - "metadata": {}, - "source": [ - "### Can we use a first order approximation for the stimulus filter?\n", - "\n", - "The 2-pole Bessel was easy enough to implement, but having 2 state variables is maybe a bit over the top.\n", - "What does it look like if we approximate with a single-order filter?" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "id": "b20cbe38-3107-4f0a-86a2-c0cb4a15588c", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "
    " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "def y(t, tau):\n", - " t[t < 0] = 0\n", - " return 100 + (-100 - 100) * np.exp(-t / tau)\n", - "\n", - "tau = fmin(lambda tau: np.sum((y(d.time() - 1, tau) - d['v20us'])**2), 0.02, disp=False)[0]\n", - "\n", - "fig = plt.figure(figsize=(5, 3))\n", - "fig.subplots_adjust(0.14, 0.15, 0.96, 0.98)\n", - "ax = fig.add_subplot()\n", - "ax.set_xlabel('Time (ms)')\n", - "ax.set_ylabel('Command voltage (mV)')\n", - "\n", - "ax.axvline(1 + t10, color='grey', lw=1, ls='--')\n", - "ax.axvline(1 + t90, color='grey', lw=1, ls='--')\n", - "ax.plot(d.time(), d['v20us'], 's-', label='Recording')\n", - "\n", - "t = np.linspace(0, 2, 2000)\n", - "ax.plot(t, y(t - 1, tau), label=f'tau={tau:.4}')\n", - "ax.legend(loc=(1.1, 0.5))\n", - "ax.set_xlim(0.99, 1.15)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "8f698264-d3a8-4e93-b5cb-798f51e241c7", - "metadata": {}, - "source": [ - "This is not far off at all, and any discrepancies only last for 0.1ms. Compared to e.g. fast-capacitance compensation, it is unlikely that approximating as first order will cause any problems." - ] } ], "metadata": { @@ -1300,7 +736,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.13.11" + "version": "3.13.9" } }, "nbformat": 4, diff --git a/tutorial/appendix-a/5-bessel-filter-odes.ipynb b/tutorial/appendix/d-filters/2-bessel-filters-ode.ipynb similarity index 99% rename from tutorial/appendix-a/5-bessel-filter-odes.ipynb rename to tutorial/appendix/d-filters/2-bessel-filters-ode.ipynb index 3710fa1..476e4bd 100644 --- a/tutorial/appendix-a/5-bessel-filter-odes.ipynb +++ b/tutorial/appendix/d-filters/2-bessel-filters-ode.ipynb @@ -5,8 +5,7 @@ "id": "044506d5-71e4-43da-8603-ce5103279e28", "metadata": {}, "source": [ - "# Appendix A5: Bessel low-pass filter ODEs\n", - "**Appendix A provides extra background for path clamp electronics.**" + "# D2: Bessel low-pass filter in ODE form\n" ] }, { @@ -14,17 +13,15 @@ "id": "8da3b3fe-426a-4710-a21a-d01126734998", "metadata": {}, "source": [ - "In [Appendix A4](./4-bessel-filters.ipynb) we explored Bessel filters analytically and filtered signals using SciPy.\n", - "In this notebook, we will rewrite some common Bessel filters as ODEs, allowing us to embed them in ODE models.\n", + "In this notebook, we derive the ODE form of Bessel low-pass filters commonly used in patch-clamp amplifiers.\n", "\n", - "In particular, we will focus on 2, 4, and 6-pole filters.\n", + "We will focus on 1, 2, 3, 4, and 6-pole filters.\n", "\n", "- The HEKA EPC-10 uses a 6-pole Bessel filter as part of the voltage-clamp circuitry (filter1), an additional 4-pole Bessel as optional output filtering (filter2, run in series with filter1 for a 10-pole combined filter), and a 2-pole Bessel filter over the command voltage to reduce capacitative transients.\n", "- The HEKA EPC-9 uses a 3-pole Bessel filter (filter1), a 4-pole Bessel filter (filter2), and a 2-pole stimulus filter.\n", "- The Axon Axopatch 200B uses a 4-pole Bessel filter over voltage and a 3-pole Bessel filter over current output.\n", "\n", - "We'll start simple, with the 1-pole filter.\n", - "These results will mainly be useful when we want to approximate a higher-order filter with a first-order one." + "We start with the 1-pole filter, which will be useful both to understand the higher order filters and later approximate them." ] }, { @@ -93,7 +90,7 @@ "id": "37285b2f-39be-4fb4-8dc7-1c81524392f8", "metadata": {}, "source": [ - "We can now write a 1-pole Bessel filter with cut-off $f_c$ as:" + "This form fits in a Myokit or CellML model:" ] }, { @@ -1421,7 +1418,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.13.11" + "version": "3.13.9" } }, "nbformat": 4, diff --git a/tutorial/appendix/d-filters/3-bessel-filters-ode-summary.ipynb b/tutorial/appendix/d-filters/3-bessel-filters-ode-summary.ipynb new file mode 100644 index 0000000..32b8655 --- /dev/null +++ b/tutorial/appendix/d-filters/3-bessel-filters-ode-summary.ipynb @@ -0,0 +1,587 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "044506d5-71e4-43da-8603-ce5103279e28", + "metadata": {}, + "source": [ + "# D3: Bessel low-pass filter in ODE form - summary" + ] + }, + { + "cell_type": "markdown", + "id": "8da3b3fe-426a-4710-a21a-d01126734998", + "metadata": {}, + "source": [ + "Here, we summarise the 1, 2, 3, 4, and 6-pole Bessel filter ODEs." + ] + }, + { + "cell_type": "markdown", + "id": "2bd7b385-6681-4a14-94d9-ad5b5c8dfc13", + "metadata": {}, + "source": [ + "## The 1-pole Bessel low-pass filter\n", + "\n", + "\\begin{align}\n", + "\\dot{y}(t) = \\frac{u(t) - y(t)}{\\alpha}\n", + "\\end{align}\n", + "\n", + "where\n", + "\n", + "\\begin{align}\n", + "\\alpha &= \\frac{t_r}{\\log 9} = \\frac{1}{2 \\pi f_c} \n", + "\\quad \\rightarrow \\quad\n", + "f_c = \\frac{\\log 9}{2 \\pi t_r}\n", + "\\end{align}\n", + "\n", + "for **cut-off frequency** $f_c$ and **rise time** $t_r$.\n", + "\n", + "Simulating with $t$ in ms, $t_r$ is in ms and $f_c$ is in kHz." + ] + }, + { + "cell_type": "markdown", + "id": "a40adc02-4047-49e0-bdbd-c68959058f02", + "metadata": {}, + "source": [ + "## The 2-pole Bessel low-pass filter\n", + "\n", + "\\begin{align}\n", + "\\dot{y_1} &= \\frac{3}{\\alpha^2}u(t) - \\frac{3}{\\alpha^2}y_2 - \\frac{3}{\\alpha}y_1 \\\\\n", + "\\dot{y_2} &= y_1\n", + "\\end{align}\n", + "\n", + "where $y_2(t)$ is the filter's output, and\n", + "\n", + "\\begin{align}\n", + "\\alpha \\approx \\frac{1.3616}{2 \\pi f_c} = \\frac{1.3616}{\\log(9)}t_r\n", + "\\end{align}\n", + "\n", + "Here, $t_r$ is the **first order** rise time." + ] + }, + { + "cell_type": "markdown", + "id": "feeca2f6-b0b5-4b09-a40f-69bf84effebd", + "metadata": {}, + "source": [ + "## The 3-pole Bessel low-pass filter\n", + "\n", + "The 3-pole filter can be broken down into a 2-pole and a 1-pole filter in series.\n" + ] + }, + { + "cell_type": "markdown", + "id": "edd6e6fe-ea48-4ada-8f45-8460400dc24d", + "metadata": {}, + "source": [ + "And with these we can break down the 3-pole low-pass Bessel filter into a first-order filter\n", + "\\begin{align}\n", + "\\dot{y} = \\frac{u(t) - y(t)}{1 / 2.32}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "\\ddot{y}(t) = 6.4594u(t) - 3.6778\\dot{y}(t) - 6.4594y(t),\\quad y(0)=0, \\quad \\dot{y}(0)=0\n", + "\\end{align}\n", + "\n", + "u = sin(2 * 3.14159 * t / 5) + sin(2 * 3.14159 * t * 5)\n", + "dot(y1) = (u - y1) * 2.3222\n", + "dot(y2) = 6.4594 * (y1 - y3) - 3.6778 * y2\n", + "dot(y3) = y2" + ] + }, + { + "cell_type": "markdown", + "id": "b7141a07-01fa-4cb4-9d23-e661624336a7", + "metadata": {}, + "source": [ + "## The 4-pole Bessel low-pass filter\n" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "03983e75-bdd8-4a22-b5e1-c706d778f7e8", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "m = myokit.parse_model(\"\"\"\n", + "[[model]]\n", + "f.y1 = 0\n", + "f.y2 = 0\n", + "f.y3 = 0\n", + "f.y4 = 0\n", + "\n", + "[f]\n", + "t = 0 bind time\n", + "u = sin(2 * 3.14159 * t / 5) + sin(2 * 3.14159 * t * 5)\n", + "dot(y1) = 11.488 * (u - y2) - 4.2076 * y1\n", + "dot(y2) = y1\n", + "dot(y3) = 9.1401 * (y2 - y4) - 5.7924 * y3\n", + "dot(y4) = y3\n", + " desc: The 4-pole filtered output\n", + "\"\"\")\n", + "s = myokit.Simulation(m)\n", + "e = s.run(10, log_interval=0.001)\n", + "\n", + "fig = plt.figure(figsize=(15, 4))\n", + "ax = fig.add_subplot()\n", + "ax.set_xlabel('Time')\n", + "ax.plot(e.time(), e['f.u'], label='u')\n", + "ax.plot(e.time(), e['f.y2'], label='y2')\n", + "ax.plot(e.time(), e['f.y4'], label='y4')\n", + "ax.legend(loc='right')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "a873983a-f549-4969-aea2-9993da7c765e", + "metadata": {}, + "source": [ + "Before working out the natural frequency and scaling, we'll just compare with the natural version returned by SciPy:" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "d5289c70-30f7-4a30-af4f-c1ed0359139e", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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v36aFj+H1ejF27FiMHTsWN9xwAw4++GD8/PPPOOKII+BwOHD55Zdj6tSpcLvduPjii3UnY/bp0wf5+flYtWqVsjeXy4Vhw4Zh9uzZOO+885Tnzp49G7/73e90f8/p06dj/PjxmD59utJumC2efPJJvPvuu1i0aFHG4Yfp9OzZU/l/FlBLD2aJ8OuvvyIcDqNz587CPztjxgzcf//9+Oyzz9CnT582/x4IBLBx40YMHTrU9P6M+E2mWxLE3k4kGsO4lxbhiAdm49ssjFuvbg4iGpNht0kY0qMQACwHyXYlBG6XQi86+Fyw2yTIMlDrD1lbN7GvYw8qVvaZDTPfGT/twOGTvsDN7yzneDZBEARB7Jv8b/lODJr0Ba7799KsXD8rEtf77kU5KEsExnZY1BDlDaySzKv4kFU1BS2tyfRD96IcdCuM31juzEKirSkQxpnPLMRRD87BarKAIIgDjsMPPxyXXnopnn322ZTH//rXv2Lu3Ll44IEHsG7dOrzxxht47rnncPvtt2dcZ9q0aXjttdfwyy+/YNOmTXjrrbfg9XpTAkJXX3015s2bh88++8zQs8tms+G0005rE6i77bbb8Oqrr+L111/H6tWrceutt2Lbtm249tprledMnDgRl112mfL99OnTcdlll+GJJ57Asccei4qKClRUVKChwboH5Zw5c3DHHXfg8ccfR8eOHbO6diY2btyI+++/H0uWLMGWLVswa9YsXHDBBRg6dGib9lgjfvnlF1x22WX4v//7Pxx22GHK3mtra5XnfP/993C73Rg+fHg7/DZxKEhGEAC+21iDFdvr0RqO4qUFGy2vx8RoaZ4bPTrEhaPVEe7qLLDdJqHY5wIsitxwNIbq5niQbWiPIkgSEAjHUGMx8AYAz85bj5gMfLRil9LSSRAEQRD7Gy8t2ISYDHz+a0VWfD2VgFahF10K4y002dIQXQo9WQuS7U5UopUVeNC1KL5PtUeZWT5ZWY4Nlc1oDEQw7dv2M2YmCGLv5YEHHmiTdDjiiCPw3nvv4Z133sHAgQNx77334v7779ecRllYWIh//etfOP744zFo0CDMnTsXH3/8cUplVb9+/XDcccdhwIABOOaYYwz39ec//xnvvPMOYrHktOCLLroIU6ZMwf33348hQ4bg66+/xqxZs1KCcek+7C+//DIikQhuuOGGFO/2m2++Wfi9Suebb75BNBrFtddem/W1M+FyuTB37lyMHj0aAwYMwE033YRRo0Zhzpw5mhV+WixZsgQtLS148MEHU/Z+/vnnK8+ZPn06Lr30Ut2qP6vse/WXBNEOfL2uSvn/HzbXIhKNwWGhhbE8IWbLCjzomsiuVjQElOoyMzAxW5IQt53y3KhsCloSuZWJn3XaJZTkuVGS58buxiDK6wPomGt+4tX22hZsUfmlfbexBgd1yjW9HkEQBEHsjVQ1BVOqnRZtrFEsEcySrPqKB5+WbK3DTgvBp1hMVhJiJXlZDJKpdIkt0WbKqt6tsHB9UpN9u9F6dT9BEHs3mTzKe/bsiUCgbUv4uHHjdH3D1BMPzz33XJx77rm6ry3LMnbv3o1rrrmGa6+jRo1C165d8e677+KSSy5RHr/++utx/fXXa/5c+u84f/58rtdT06tXL81qZfV6kyZNajMNMluvk4nu3btjwYIFhs/TWlP93lxxxRWaQU8AqKqqwgcffIAlS5Zw788MVElGECqTXCR8MKya16vbGjrmuiBJQCQmo67FfIVWrT9uptjBlwySwaLIZVngkjwPbDZJCYyxAQFmSW+PyMZkT4IgCILY21i3O3XypNVKMlmWUZHQEGX5HpQm2i2tXOubAhFEY/GbkyKfE50S1/oqi9d6piFK85OBNxaMs8Ia1TTPHXWtaAyELa9JEASRTmVlJZ588kns3LkTV155JdfPSJKEV155JWVKJvHbsXnzZrzwwgvo3bt3u74OVZIRBKBMnpQkQJbj49b7lbadpMGLWjg67DYU5bhQ6w+hpjlkukKrLtEC2cEXny6SDZFbyYJk+fG1OmZJOG+sSg0yrim3Pr6eIAiCIPY2WJCM6Ye1Fdaud3UtYYSi8Tae0nyPYq1gxQahNpGgy3U74HbYk0m2RmvX+kqV1okkWo+sJtnC0Ri2JSrR2Xu6fneTpSmcBEEQmSgtLUXHjh3xyiuvoKioiPvnBg8ejMGDB7fr3ojMHH300Tj66KPb/XWokow44GkKhJUJT6cfEh/Vu73WmvEsE7Md8+LiVhG5FsQjE7lFibWYyK20MJ1qd0Igl+bFM9XFuWyf1jLBGyrjQcfT2PuZxYmZBEEQBLG30OZ6Z1E/1Prj1+UCrxMuhw3FWajwZgN+iliSLaEfmoIRBMJRU2vKspzUEPluJXFnVT9srfEjEpPhc9lxTO94YIxN+yQIgsgmsiyjqqoKf/jDH/b0Voi9DAqSEQc8rK2hwOvEwWXx6jGrkyiVqq+ceNApGxVa6Wt2SATL6lvNtyGw9g0mmDtlqd2S3SQc3zdujFnZFEQoEjP4KYIgCILYt2D2Ciyg0xiIoMlCe2DSWoHph/h/rbQxpuuHfI9D8Uc1awPREoqiNRFg65TnVoJ5Da1hS9f7bQn90LPYh25FiYmZFjUZQRAEQYhAQTLigKdc5f2hCDKL05nSq76yUaGVvmaBN54RrmsxL8aZOC7Kcabt06qZb/w9PbRzPtwOG2Q5OVmLIAiCIPYXWKKtT6dc5VpqJajDqr4KE2t1VCq0slFJFr/GS5KEwoSGqDepIZh+cDls8DrtKPQ6lcBbrYXWUFadVlbgUSZ7ZmNiJkEQBEHwQkEy4oCnIuMIc2vtEkx0FqVVktX4s1BJlhC5bO0GC8MAWBVaYdo+rWSs1abDnQu86JoQuZQJJgiCIPY3MmoIC+2B9S2pVV8seVXrDyEW4582pqY2bU2ognBmg2RJneOEJEmw2STFWsJKNTrTD6X5HnRL6IddpB8IgiCI3xAKkhEHPBWqUetlBXFvrkqLY9Fr00z2O1qsJIvGZCWgxYJjisC10G5Z35LqU5IN75PG1giCiVaLknw3OhfG31P2PhMEQRDE/kAgHFWu92X5HpTlx4M6VjREm0r0xETrSExGg8nrfV1aJRlUybF6k4m2ZCV6cs1saAg2+KgsP6nJSD8QBEEQvyUUJCP2OWIxGfd/vArXvLXEtGBUU67KWnZMiNGmgHkz20g0puyLiccii9OpGlrDkBMJZNbOYTULDAB1/tRKMtZ+YeV9ZVn1whwnPE67qlXE+lj4HXUtGD9tMV5asNHyWgRBEMSBx5Ittbj4lUWY9XO55bUqE62BbocNhTlOlX9Y9qrGXQ4b8tzxYfS1JgNatWlrQnW9N5toY1YPTIsgSxpCCZIVuLNSha/mxfkbceXUH6kyjSAIgtCFgmTEPsdXayvx+reb8cWvu/Hawk2W11OPMM/3OuC0xz01zAa0mOCUpKRvWIFF4cgEboHXCYfdlvj/uNhtDIQRNdmCUZ+WCWZiNysCNz8xMTMReKzOgsh97Iu1mLemEg9/tgbrdzdZXo8gCII4cJBlGXfMWInvN9Xijg9WojVkLhnGYP6bpfkeSJKksiyw4h+WmmQDgHyLGiJT1Veyksxsu2WmNbORaIu/dyX5HiXoWOsPmdY5jNXljXjk8zX4am0Vnpy9ztJaBEEQxP4NBcmIfY6F66uV/5+/rsryeopXh88FSZKUoI5Zk1wmHPM96oBWXDg2Wha4qoxt4v9l2cq6SU8R9T5bQlHT06nSJ2ZmY2gBEi2nX62pVL7/am2l7vMJgiAIQk1FYwCbqvwAgOZgBMu21VlaL71CKxvXu/oM1/tsJdqYBQRSLBtMtlumVaKn7NNChTvTECV5bqUKPyabbwtlzFm1W/n/r9ZUQpatBd0IgvhtkSQJM2fObPfX6dWrF6ZMmdLur5OJadOmobCwcI+8NpEKBcmIfY7l2+uV/1+1q9F0WySDZVGVcet51tol0se3IwsClwXBWDYZAJx2G3ITLRhm2iUC4eT4diZy8zzJ9bOVse6YpYmZW2v8aAxElO9/2dloaT2CIAjiwGKFSj8AwLK070Wpb0kNkrFKsiorlWQtbf3DrCba2LUz39O2NbLen73knVWtI8tyynvqtNuUYJ7Z6n7GzzsblP+v8YcUawiCIPY8lZWVuOaaa9CjRw+43W6UlZVh9OjRWLRokfKc8vJyjBkzZo/uMxP7c2CrpqYG3bp1gyRJqK+3dr3c16AgGbFPEYvJWF2eDI5EYjI2V/stramMRk8IMaU9sMma90c2hWNzMC5wWVAsfV0zGVYWHLTbJOR7HMr/5yX+33qQLPX9tCpwN1Q2p3y/toLaLQmCIAh+ft2Vmlyx2rZf60/15cpGu2W6JxmyoCH8TEN4khrCaiUZ0x1qTzKrbaFNwQgiibbK9OngVt5TANhQlaoh1pCGIIi9hnHjxmHFihV44403sG7dOnz00UcYOXIkamtrleeUlZXB7Xbv0X0eaFx11VUYNGjQnt7GHoGCZMQ+RVVzEMFIDHabhEM75wMAttW2mF4vEo2hMZBoOUzLBJv10Mrk06FuYwxHxdsY/cF4xZcvLUjGplKa8RRhwawCb3x8O8Oqp4jSwqlU5mXHuJ8J3GE9iwAAm6v9iFn0KCEIgiAOHLYn9MLgbgWARf0AdSVZm8pp89e7dBsEZKGNkSXa1BqCVZDXmVwzadzfVuuYHQbAqtq8Tjs8TjsAoNjHqvvNv6ehSAxba+J/a6YhWNstQRB7lvr6enzzzTd45JFHcPLJJ6Nnz544+uijMXHiRJx11lnK89Ttllu2bIEkSXjvvfcwYsQIeL1eHHXUUVi3bh0WL16MI488Erm5uTjjjDNQVZW05hk5ciRuueWWlNc/99xzccUVV2ju78knn8Thhx8On8+H7t274/rrr0dzc/yeZP78+bjyyivR0NAASZIgSRImTZoEAAiFQrjjjjvQtWtX+Hw+HHPMMZg/f37K2tOmTUOPHj2Qk5OD8847DzU1NcLv38iRI3HTTTfhjjvuQIcOHVBWVqbswQovvvgi6uvrcfvtt1tea1+EgmTEPsWOuvhEorJ8Dw7q5AMAbKsxL3LVUyNZ6wHzFKk1KciYGM1TZWyttjE2B+M/k15JxlonWKBPhLoMWWBkoa0jPUiYFLgW2y2r43/n4/oUwyYBoWjMcnUaQRAEceCwMzHVcHifjkAWgmRK5XjiOseqvxpaw4iYSIjJsqyqHG/rH2ZGP8iynKwkU2mI/Cxf65GFirdMLZzFWbBs2FHXgmhMhtdpxxE94m1RNOGSOCCQZSDk3zNfnL5/ubm5yM3NxcyZMxEMin3O77vvPvz973/H0qVL4XA4cMkll+COO+7A008/jYULF2Ljxo249957Tb55cWw2G5555hn88ssveOONNzBv3jzccccdAIDjjjsOU6ZMQX5+PsrLy1FeXq4Ela688kp8++23eOedd7By5UpccMEFOOOMM7B+/XoAwA8//IDx48fj+uuvx/Lly3HyySfjwQcfNLXHN954Az6fDz/88AMeffRR3H///Zg9e7by72PGjFHeZ60vNatWrcL999+PN998EzbbgRkucnA8hyD2GnbUxQVt1yIvenTIAQBsrTWfDWSZ0DyPo43JvtXWSHXGlrU0NgYiaGgNK9Vq/GuySjJ7yuMsEKf26uKlQclWu1Ietyxy09pPChL/DUZiCISjSnZYFOYf0r0oB6X5HpQ3BLCrvlUZEEAQBEEQeuysY0GyYry0YCOqm0PwByNtqrR5qUu7jqp9QxsDkZSWSR6CkZgyxVHdGmmljbE1HAUrulb/nkw/NJnQD1BVixVmGChkdUhRanVaMvBoFqYfOhd40LXQC1CQjDhQCLcAD3XZM6991y7A5TN8msPhwLRp0zBhwgS89NJLOOKII3DSSSfh4osvNmz1u/322zF69GgAwM0334xLLrkEc+fOxfHHHw8k2gWnTZtm6ddQV5717t0bDzzwAK677jq88MILcLlcKCgogCRJKCsrU563ceNGTJ8+HTt27ECXLl2UvX7++eeYOnUqHnroITz99NMYPXo07rzzTgBA//798d133+Hzzz8X3uOgQYNw3333AQD69euH5557DnPnzsXpp58OAHj11VfR2sp3zgsGg7jkkkvw2GOPoUePHti0aZPwfvYHKEhG7FOwLHC3Qi+6FsWFTkWDBe+Plnb0/kj3D8txojEQMdUa6c+QWYaqQq3ZhMhtylDxBos+Z8hg3J/rcsAmxadTNbaGTQfJdidEbmmBB10KvUqQbHD3/dMskyAIgsge4WhMCZYcUpaHPI8DTYEIKhoD6NMp1/DnM5Fe+cQG6jQH4wkx0SAZS7IBQI7qWmlFl7A1JSl1TeZFqn5NoXUzDAOwqp/qFbuG7K0JlX4oS+gHUJCMIPYqxo0bh7POOgsLFy7EokWL8Pnnn+PRRx/Fq6++qtsKqQ6ilZaWAgAOP/zwlMcqKyst7e2rr77CQw89hFWrVqGxsRGRSASBQAB+vx8+X+Yg4NKlSyHLMvr375/yeDAYRHFxMQBg9erVOO+881L+ffjw4aaDZGo6d+6c8nt37dqVe62JEyfikEMOwR//+EfhfexPUJCM2KdgoqZrkRedsjBFihnkZhxhnsVKMrbudrSayrAmg2SpASYWiGsy0W7p19wny9qaE87pQTKbTUK+14n6ljAaWsMoyfeYWpfd3JTlx0XuT1vrlKApQRAEQehR0RBATAZcdhs65rrRKc+NpkAElY1B80GytHZLJK71zcFIItFkXEWhRrkuu+yw2ZJeoVZ0ieJp6nKkrKkk2YIRyLKc4k3KQ1LrZCeYB1X7ajY1GVTJVKYfAGBnPU23JA4AnDnxiq499doCeDwenH766Tj99NNx77334uqrr8Z9992nGyRzOpMBdXYOS38sFku2vttsNshpbaDhsPa5ZevWrTjzzDNx7bXX4oEHHkCHDh3wzTff4KqrrtL9uVgsBrvdjp9++gl2e9q9W6K1MX0fVlD/zsjwe48ZMwYLFy7UXYP5rM2bNw8///wzPvjgg5R9duzYEXfffTf+8Y9/ZG3fezMUJCP2Kaqa4kKnJM+tBFuqm8wHyVjWskNWJ1FmNtm3sm6TRkAr30K7BMsC57qyt09ZllXG/anvKQuSmSEQjip/q7J8D0ry2LQr8iQjCIIgjGEJtU55bthsEjrlurGpym8t0abhy7WzvtXctT6gnWSD2UqyQNtgFlRJtmhMRksoKtRyGo7GEIzEUtZBhiFFTruYl019Bk8yqz6pSKtEL8mP64dafxDRmAy7TSw4SBD7FJLE1fK4N3LooYcqRv3ZolOnTigvL1e+j0aj+OWXX3DyySdnfP6SJUsQiUTwxBNPKN5c7733XspzXC4XotFoymNDhw5FNBpFZWUlRowYkXHtQw89FN9//33KY+nfZwuRdssZM2akPHfx4sUYP348Fi5ciD59+rTL/vZGKEhG7FOwiVEdfG7Fi6qqKWgqCwoAtRkErtXpjlpVX9YywZmFM8sEm6kkaw61HQlvdZ+t4ShCCeGcTTPfioa4wPU4bcj3OpQWFitGvgRBEMSBAxvGw4zg1RrCDNGYrPhyZas9UNOuwUKgSKu6Pcdlh90mIRqLDwsQCZL5VS2aqT5nqUOKRP1X65TEZbYryZKV6GztmBwPyhUL7pEgiOxSU1ODCy64AOPHj8egQYOQl5eHJUuW4NFHH8Xvfve7rL7WKaecgttuuw2ffvop+vTpg6eeegr19fWaz+/Tpw8ikQieffZZnHPOOfj222/x0ksvpTynV69eaG5uxty5czF48GDk5OSgf//+uPTSS3HZZZfhiSeewNChQ1FdXY158+bh8MMPx5lnnombbroJxx13HB599FGce+65+PLLL021WvIg0m6ZHgirrq4GABxyyCEoLDxwLG4OzHEFxD4LK8UvznUpo9ZD0Zhl/4uCDFlLM95hMGi3hEXhnJe2Zq4FTxHtdkvz+2QC12W3IceVvRYMlukvyfNAkiTlb0/TLQmCIAgeavzx6wibuFySF69Gr2wy13bXFFBPx85Oos0f+u30gyRJpi0bmOZwO2wp1WJ2m6T4nJrTEO3TbpnUEG447DalUo00BEHseXJzc3HMMcfgqaeewoknnoiBAwfinnvuwYQJE/Dcc89l9bXGjx+Pyy+/HJdddhlOOukk9O7dW7OKDACGDBmCJ598Eo888ggGDhyIt99+G5MnT055znHHHYdrr70WF110ETp16oRHH30UADB16lRcdtll+Otf/4oBAwZg7Nix+OGHH9C9e3cAwLHHHotXX30Vzz77LIYMGYIvv/wSf//731PW3rJlCyRJwvz587P6PhDGUCUZ0e5srGqGTZLQu6P1cl8maIp9LrgddhR4nWhoDaOqKZgiqnhpDrLplm2DZKwqyuUQiyUbVX2ZCWhptWBYmW7JfEra+Jwl1vSb2CdrlSjIcaZU9lmZzIUMvi/FvnjmN1uVZOt3NyHf60SpSb80giAIIvsEwlGs2F6PI3oWCbfupcP0Q4fE9cNqJRm7LrsdthSdoAR1TCTatCZZs2uoPxQVbhHUCrwhoSEaWsPCGiKpHzKs6Y4PRDCjIZhGKMyiBQbUbbEJDdHB50JdSxjVzUH0L80zvS4AtIQiWFPRhCHdClM83wiC4MPtdmPy5Mltgk/pqD28evXq1cbTa+TIkW0eu+KKK1I8zZxOJ1544QW88MILmq+zZcuWlO9vvfVW3HrrrSmP/elPf0r5/sUXX8SLL76Y8pjT6cQ//vEPXQ+v8ePHY/z48SmP/fWvf03ZS2FhIQYPHqy5RqYAWjbbVDO9rwcC7VpJ9vXXX+Occ85Bly5dIEmS4R9s/vz5kCSpzdeaNWvac5tEO7JqVyNGP/U1Rk/5Gut3N1laK6yqGGPl8SUWRW6mQFGexwkW38lq1ZfbvH+YlshNtltmMfDmNl+dxtbUmphpOkjGppAmhDNrl8mGJ9n8tZUYNeVrnP7kAtPHEUEQBJF9bnh7KS565Xvc+79fLa+V7XZLdl3Wao201m6ZasKsDpqx1+VF61oPCxqCJRgzralUuFvQJZkSl5aCZP7USeZMQ9ZarCSLxWRc8NIinP/Cd3hh/gZLaxEEQaTz+eef46677kJRUdGe3soBR7sGyfx+PwYPHixcKrl27VqUl5crX/369Wu3PRLtyzuLtyESkxGKxDD9x+2W1mIixyYBhQnRxLKCdVlsjbTbJCVQ1NAqLqC0jPtzLQSftLK2eR5zrRLQ8T7JRgtneoDQepAs4fuSk1ZJ5g9azm5M/3EbZDlejffRij00AYggCIJIYWd9K+auiY+wn/7jNrQIBofSUVeiA0AHnzVrBU3LgkQyp95SkCy1ksztsMOVqKQTDT5pXZfVj4mu2axTSaYkBE1oiOYMuoTph0A4hmAkqvmzWkRjcpsKNcWywWKibfmOevy6qxEA8MairQdktQVBEO3Hww8/jL/97W97ehsHJO3abjlmzBiMGTNG+OdKSkq4jeGCwSCCwWQWsLGxUfj1iPZj+fakGeJP2+osrcUEblGOSylpZ8EyVmkkiqZJbo4TjYGIuUlSiQyrZvDJjMk+26cne1VfWllwKxVv7eHHBlWAlLXUskqAQDgmPJVLjSzL+G5jjfL90m11uAq9Ta1FEARBZI8V21PNlFfuaMCxBxWbXq8mrZqowMuSbOb0Q3tMsta6hiJx/a/1h4Sv91rBPFhItGlpp/g+E9YSpmwg2q6b53FAkgBZjr+nJXl2nRXa0tgaRizNOy5blg2LVPqhqimIHXWt6N4hx9KaBEEQxJ5nrzTuHzp0KDp37oxTTz0VX331le5zJ0+ejIKCAuWLmeERe55gJIrV5cmg5apdDYjGzGfZatJaJZDFSZQ+V6rQY0JKdN1INIZAOD7dMVttjKFITJkYmetKryRLtkqIZjC1xHiy4i17Aj/fY22Eu9Jumcj857jsigeMlXaJisZASjBw5Q7tCTcEQRDEb8fKHQ0p3/+ys0HzuTywgAibuMjM2814h0Gn6kvRD2Y8yQI6wSeTCawmriCZaCUZW7NtwMpK8q450HZdm6q634yGYPohz+1QdAPrQqg1GSBlrEuzEfnZ4jFKEARB7B3sVUGyzp0745VXXsGMGTPw4YcfYsCAATj11FPx9ddfa/7MxIkT0dDQoHxt326tpY/IHttrWxCOyshx2eG0SwhHZeyqbzW9Xm1LahYYqva7OpOBEqPKJ9E2DH8o2QqQLh5zTYrR1FHrqWsygRuNyWgNi7UhaIlx9n0gHEMkGjO1V612y8ZWc+0ytX7WKhH/e0uSlBWfkvW7m1P2u7OuFWHB35kgCILIPszHlCXDttT4La2X7kvFridNwYip8367TLLWMdk3a9mgFcyDOtEmuGazjs+Z2X3KspyscE/3NbWQEGV2DYW+TD5n1lp40zXE1poWS+sRBEEQewd71XTLAQMGYMCAAcr3w4cPx/bt2/H444/jxBNPzPgzbrcbbrf7N9wlwcuOunhArEeHHISjMWys8mNrTYvpUnTFU0I1at2K9wc4vL7MilGnXYLbkRYkMykc1aPWHWnTvXJcdtgkICbHg285Lv6PtFa7hFr0+oNRFOTwx9K1hLPVgFZ9hgBpgdeJqqag6eo0JCavAsDwPsVYsK4KwUgMu+pb0bPY+iRWgiAIwjw7E0m1E/p2xCcryy0HINj1h12P8lWBmIbWsFJhxov2JGsLlVQaLZywYIivN4ky12K7ZfqQHqj2LpoQbA1HlbbI9L3Gq9FbTSXalOBoTqp+gMUkmyzLioY45ZAS/G/5LmyrtRbIJQiCIPYO9qpKskwce+yxWL9+/Z7eBmECJnC7FnqVoMNWCwKCBUPUooxVklk33s0c0DJb9ZXVLHBIW4xKkqTaK/97EIvJStVb+l5dDhvciZaEJsGWS8XMN22vVoYBQNUukWksfKMJjzdGRUMAANCtKAc9EsFbygQTBEHseZiGGN4n7kNm5dwcicaUa15+4trhsNuUQJkZDaEkmlyZr3fWBurotTGKXpfbod2SVbxlSMyx399vsjrNJgFeZ3aSjEjRD22DZFaSbPUtYQQTVhjDD7J+jBIEQRB7D3t9kGzZsmXo3Lnznt4GYQLWWtm1yIvuRV5AVV1mBhYMYQIXKuP+ehO+ErIsK0IvWxMeM01marOmoH+YXlsDTI5wb1G1Zmbaq9VKOq0WTvNBsvjfPr2SDBYzwRWN8SBZWYFbqXC0cowSBEEQ1mkMhJVrGjPr31nfiphJX1P19VGdcGKBk2xOslZ7cmXLKxQWLBv0dEmeSZN9PV1i1pNM/btLkpS2T+tBskz6wUqQjOmHYp8LfUpyAdIPBEEQ+w3t2m7Z3NyMDRs2KN9v3rwZy5cvR4cOHdCjRw9MnDgRO3fuxJtvvgkAmDJlCnr16oXDDjsMoVAI//73vzFjxgzMmDGjPbdJtBM765KVZJGEsK1qMj9JiJXZMxN4WGy3bAlFwfSrpsjNZltD4rFITEYwEoPHyTehSRGOGq2UZjLB7Pey2yR4nG1j5bluB6qbQybGwrO9ZvZOYzcN6QJYj1hMVoKgRVlul9idELml+R6U5nsAi8coQRAEYR2mH4pynOjRIQeSFPferGsJoViwLRKq62PcIzV5zSvKcWJbLVDnz17VFwtmxeR4C2E2bBBgpRpdJ/DGKulEq8b1p1tmP5iXa1KTQe1JpqpEz/fG18tGkq0034PSvKR+ENU4BEEQxN5Hu1aSLVmyBEOHDsXQoUMBALfddhuGDh2Ke++9FwBQXl6Obdu2Kc8PhUK4/fbbMWjQIIwYMQLffPMNPv30U5x//vntuU2indiVaGXrXOhFp7y4qK20EiRTKskytVuKZ4GZyJOkuHBWY76SLL7HTGLUpxLKIuv6NVoYlb26xVsb1MGsTGJOEblmK+lUgUyo3o9oIkAoQlMwoviUFHgzGe9aCZLFj8fSfI9yjFY1B0yvRxAEQViHtcJ3LvDCabcpflJmNYSiH9KuTQVMQ5gx2dcIPnmdca9QmEq0GQefhNsYleuyti5hVXH8a2rrErMTsrkq8U1UkrFW2hQ/W5V+EK32Y+xuYEEyNzrmxdduDUdTBjgRBPHbMG3aNBQWFu7pbRD7Ee0aJBs5ciRkWW7zNW3aNCBxQM+fP195/h133IENGzagtbUVtbW1WLhwIc4888z23CLRjtQmzFI75rpQwgIQlirJ2opclhmsbxEXOuoKrfRAUa5bvIURBqa7NptkKhvKhGYm4QgAOSxIJiDM9IQ4LGRtmzUy6zlOO9hbbDa77LLbUqrvWAbc7MRMWZaVG7EydZCMKskIgiD2KNXN8fNwx8R52er5WdEP3tRrnhXLBq3WyBSvUOGAlraGMNvGqHe9z0lcq1uyWJ1mNqDl1/ndfSZ/d/XPqNtsWZAsEpPRYjKoxZJsZQUe5LgcSgU9aQiCEKeyshLXXHMNevToAbfbjbKyMowePRqLFi3i+vmLLroI69atU76fNm0aJElSvjp37owLL7wQmzdvbsffIrt8++23cDgcGDJkyJ7eygHJXu9JRuy7sCBZsc+tErjmq3RYcCU/QzWRGaGTFGRt2x6TIs9sC0LmVkoz7RJ6oln9WiLZZT2BC1WQMFttHTabpJgbC1fnKd4nqe9pvsVKsqZgBK0Jb7bSfA865VKQjCAIYm8gqR/iFTpWq9E1K8kseFP5NTxNYcXrSycpZnagkK7PmYlKdOgkxGDBrkLvdze7JjSChF6nHU57PHNndvgPa7csSbRaUqKNIMwzbtw4rFixAm+88QbWrVuHjz76CCNHjkRtbS3Xz3u9XpSUlKQ8lp+fj/LycuzatQv/+c9/sHz5cowdOxbR6N5f7dnQ0IDLLrsMp5566p7eygELBcmIdoF5hwBAkc+piIgafwiRqFi7HSMpclOFjj3R15BN4WjZeFbDg8SMV4dR4M1nIvjUpNN+oX4t85Vk2Rtfr9UqYrXdsjIhcPM9DnhddnRKtEtUNZPAJQiC2JPUppmtW68kyzwlmn3faCL4opfAMpMQi0RjCIRjmmuaqaYKRqIIR+WUPVldEym6xNnm38zbVRh7upqqJAu01RCSJCkBU6sagvmZUpCMIMxRX1+Pb775Bo888ghOPvlk9OzZE0cffTQmTpyIs846K+V5f/7zn1FaWgqPx4OBAwfik08+ATTaLSVJQllZGTp37oyTTz4Z9913H3755Rds2LAB48ePx9lnn53y/EgkgrKyMrz++uvce5ckCa+++irOO+885OTkoF+/fvjoo48svyfXXHMN/vCHP2D48OGW1yLMQUEyol2obwkppvhFOS508LlgkwBZjgfKzJAUuUlRpm5rMF/1lb2AjnGFlrjQM2qNZK/VEsrempY9yfSy4GbH17uyGySrTRg1MxPoTrmpxrsEQRDEnqG2OTVIxhJtlSar0TNNx4a64stE8CV5vdeuRhdKiKmq4TOtmWdCl/hVXmPpA3Wguq7GBxkJTN3W+93NVrzpTMzMtfB30kqIKhqixaSGSARyi3PTA7nka0rsffj9fvj9/pTPeSgUgt/vRzAYzPjcWCxZ1BAOh+H3+xEIBLieK0Jubi5yc3Mxc+bMNnthxGIxjBkzBt999x3+/e9/Y9WqVXj44Ydht/MNQUOi2ozt7+qrr8bnn3+O8vJy5d9nzZqF5uZmXHjhhUL7/8c//oELL7wQK1euxJlnnolLL700pQKO/X5aX2PGjElZb+rUqdi4cSPuu+8+oX0Q2YWCZES7wKrICrxOOO022G2SInZrzQbJMhj3w0ImmLVK+DJUfVmdImXo9SUQKGoyCLz5lHZLcU8yn1bFm1u8VUSW5eTvn8kgWGnrEG2LzVwBYHWEOztGma8dM94NhGNkvEsQBLEHYTqB6YaOiUBEnWn90HY6NlKCWVamW2ZHQ7D1nHYJbkem4JN4oIhdwz1OGxz2tpKf6YeI4FAdnt89GIkhZGLN9Gs9rFaSaezVqmVDciBAfJ1iXzxIVt1s7hgliPaEBWSqq6uVxx577DHk5ubixhtvTHluSUkJcnNzU4brPf/888jNzcVVV12V8txevXohNzcXq1evVh5j3uO8OBwOTJs2DW+88QYKCwtx/PHH46677sLKlSuV58yZMwc//vgjPvzwQ5x++uk46KCDcPbZZ7cJMGmxY8cOPPbYY+jWrRv69++P4447DgMGDMBbb72lPGfq1Km44IILkJubK7T/K664Apdccgn69u2Lhx56CH6/Hz/++KPy78uXL9f9evXVV5Xnrl+/HnfeeSfefvttOBz8k5GJ7ENBMkJBlmV8/ksFft7RYHmtmrQsMFRBjToTBrmBcFQRW1qZ4Pbw6TBr3G80iVIsE8xXSZZNn7M8E55swUhMaevI2MJq0udNK7tckAhumfUTaUgTuF6nHS5H/JRoZWIm45v11fhpK5+XAkEQxL7O9toWfLh0B4IR60mG9HbLpH4wd27WMu7PN1HxxdDVEErVF/9+uSu8hQb/6K+Zo0qU8fqSxWKykkjSawsVWROc1WlmPMm03gOr1ej1iqVI/BgtyrE+cZtR1RTEjJ92oJUSdsQBwrhx47Br1y589NFHGD16NObPn48jjjhCCbgtX75cCXDx0tDQgNzcXPh8PnTv3h2hUAgffvghXK74Z/bqq6/G1KlTgcTggE8//RTjx48X3vugQYOU//f5fMjLy0NlZaXyWN++fXW/unbtCgCIRqP4wx/+gH/84x9CvyfRPlCIklD4cOlO/PX9FXDZbZh924noWewzvVZ6FhiJtkvAr2TfRGCBEEmCYgDPyDOZCdbz+mLZZpYJZcETI1gASLPd0kQbo1ELp09plxCfmJkpYwuLWXAYVedlyeeM/Y3MTrdUPPNy4seoJEko9DpR2RREfUsIXQu9ptYFgB821eCPr/0AAHjvmuE4uncH02sRBEHs7YQiMVz08iLsaghg5Y4GTBp7mKX10jUEO0+bmUIJHeP+PJNBspTK6Sz5muoF3WD2uqwzXAAA7DYJXqcdreEoWkJRFAusqbWu026Dx2lDIBxDczCiBJGM4Ao6WqkkS9M7LOFqJkAai8lKMIxVoxewYzQLQbIJby7B8u31+OyXcrx6+VGW1yOI5uZmAEBOTo7y2N/+9jfccsstbSqWWICHtScCwA033IAJEya0aW/csmVLm+deccUVpvbo8Xhw+umn4/TTT8e9996Lq6++Gvfddx+uuOKKlPV5ycvLw9KlS2Gz2VBaWgqfL/W+9rLLLsOdd96JRYsWYdGiRejVqxdGjBgh/DpOZ+p1RZKklPZTo8q0ESNG4LPPPkNTUxOWLFmCZcuWKdV9sVgMsizD4XDgyy+/xCmnnCK8P8IcFCQjFGYs3QEACEVj+GRlOW44ua/ptWoyBMmYkDAVJGN+ZG4HbAmjfobZTLBeNZU6k+kPRuBy8Ik8v2I8azDdMouZ4GQlmUi7pfZkT5ispGNr5riSwxQyrpklnzP2e4eiMQQj0YztKXqwigRWkYbEMVrZFDTtUcKYuXyn8v//XbaTgmQEQezXLNpUg10Nca+amct34p6zD814HeAl3ZNM0Q8mAxBMQ2hXooutGwjHEEtY++hWowslmrSN65FSjR2BLMuQJOP31yjwxv6tNRzlDkCxfTpsEtwaCcRctxOBcNDUkKI8nfdTNEgWUrV8pidYzUwGZzQFIsrfv9CbOEa9TONaa7fcUu3H8u31AIA5qytR5w9xBxoJQov0ABEAuFwuparK6LlOp7NNMEjvudng0EMPxcyZM4FEtdaOHTuwbt067iorm82Gvn2172WLi4tx7rnnYurUqVi0aBGuvPLKrOw7neXLl+v+OwsA5ufn4+eff075txdeeAHz5s3DBx98gN69e7fL/ojMUJCMABJZMXWb5bJtdZbWY74hHXLUQbKEp4gJAaFlugsLFUp6WWCH3aZkV01lQjW8vvJMZEONgmRmhJ6RcE76h4lMzOSrohMVpFp/J/X3/qB4kKyhNbWSDCqxazUTvHhL8vPDxC5BEMT+ykrVea6+JYzN1c3oW5Jnaq1QJKYEl4qVIJlVT7LM1dNmK8nU1/Acp7Zxv5mEmFElWTQmIxCOwZvBiL/Nmjpm+Ml17ahu5r82q/epFahT1hSqcNfeq5kAIdIr3NOSglZ8zpiO9bmSNg2FWWq3XLwl1aZh5c4GnNS/k6U1CWJvpqamBhdccAHGjx+PQYMGIS8vD0uWLMGjjz6K3/3udwCAk046CSeeeCLGjRuHJ598En379sWaNWsgSRLOOOMM06999dVX4+yzz0Y0GsXll1+exd8qiV6gTo3NZsPAgQNTHispKVEmeRK/LeRJRgAAtta2pGQ811Q0WVpPqSTLVbdbms+yMQGb52kbJDObCTacRGlmOhW3cb94dllrn8xTRCT4pJexVe9TbBhAlGtN0WAmOy7TWyXsNgk5iZsEMz4ldYnplkWqSrICC9WOjGAkii3VfuX79bubsuLRQxAEsbfy885UL1MrGoIFIOw2SWmPLFI8KCOIRPnN4BlNGsb9in4wmbzxuextqtthshrbKEiW47KDxYZ4p0QbaRKoNQSn/5VR4g7qCvcsVc2nBwhF18w0uIANQhD92yNl8E92uiXUrK9sTvl+1a5GS+sRxN5Obm4ujjnmGDz11FM48cQTMXDgQNxzzz2YMGECnnvuOeV5M2bMwFFHHYVLLrkEhx56KO644w5Eo9b09WmnnYbOnTtj9OjR6NKlS8q/TZs2jTsgT+x/UCUZAQDYkLgody30Ymd9K3bUtcIfjOhmH/VgJrkFXnUrG/MUMdNuyfxEtDOMotMtjQRpntuBqqagKV8uowotc8I5c9ZYqfrKUsZW/VpiFW8GlWQm2y31RL7P7UBLiL9NRE19opKsIKWSzJnyb2bYXO1HJCYjz+2AnHgPt9e2mK6qIAiC2NvZWBXXEN2KvNhR14p1u5sNf0YL9fWeBaDUWqIxEEmxchBas027ZaJtPyLWtm+oH0xUjev5pCLhc5PrcqApGEFzIAKeSwpPQCuZFONtt+Rf08wkzkzrsgChLMfX5KmiQ8rvn6FNzEK7ZX2aHxkAFHit+eYx1u2OB5g7F3hQ3hBQPlsEsb/idrsxefJkTJ48Wfd5HTp0wOuvv57x36644ooUL7T077VobW1FfX19m6mdSPitnXTSSbo/L8tym8fq67PXQTJp0iRMmjQpa+sR/FAlGQEA2FnXAgAY2DVfEXe76ltNr5dJQDIxYWY6VbJVQq+SzGzwRcOXy8Q0Rt52CaHWSFZFl0HkwWTVV3sI/GYjnzMT7ScwEM5mzJEZLFhblOZJBtXkSzOwKrKDSnLRrSjuM7CjzvxniSAIYm9GlmXsTOiF4/t0BADstHDOy3R9cthtynXJimVDerulT2WNkM2pkSwoY6rdUsOuASm2BXzXe6NKdJhIihkl7mBS6+glGVmAUGSfSPk7td1rnklNAvVkywyVZI2BCKKxtjfOvGxOaIiRA+ItllY+SwRBZCYWi2HXrl245557UFBQgLFjx7Z5zhdffIFHH310j+yP2PNQkIwAAMVwt2thjjLVb4eFIFlyolJSmDC/pwYTVTpKe2CGSrJc09Mt9cWjaLuELCfHohtNjeQVjtGYjNawfvCJtRyaEaNGwwD8Cf8PsTX1g3miAS29gF5yaIF4UCt9uiUsVjsyyhOfpS4FHgqSEQSx31PXElZa4Ib1KgIA7KxvMb2eloF9oUnLBvUkynQ7ALtNMjmohtOuwcx1WUM/IOWaxxvQil/LtJKBAJCTWLOFd00OnzPRfaqfq/X7W/F5y7SmUtlvpt3S33bwT0q1o0lfMlmWFQ1xVK/4wJ8dFj5LBEFkZtu2bejatSvee+89vP76620mfALAokWLcPTRR++R/RF7Hmq3JABAyQJ3KYzf2K+paLKUvVICUKqMaJGFSjK9KiXz0y35qr54RV4gHFOyh0btltxTpFQtlEb7DEZiiERjbXw3Mq5rMEWLvVYkJiMYicGTwZg4nWTFV+bn5pk07tcTucm/kbgnAQuEqYVtQRbaLSsa4wK3NN+jPLbTQsCZIAhib4ZphU55bvTuGJ90ZuWcp3VtLspxYXttq3ASw2gSZZ7HgeZgRCjRZlRNlWsigcPTxig6VKdZudZrT5vLFfQkSyZBefbJt6YsyxzVeSyoJfB30qlEN1PtxmDtlupKdKfdhlx3/FhqaA2bmkjZ0BpWpnEe0SMecC6vDyAaky1NiyUIIpVevXpxFwEQByZUSUYAqtbKbkVedElUklkRuZnEHvMCMTP5Ry9ra6Y1EBxCTzRraTTtChBvjWS/t96o9RyVSOcVuexmQDOYpwpuirZgaGaB3VbbYrWrCEXbJVpDUQQTQlQtZK20BDN2J7LAZQUepSqT2iUIgthfYVqha6FXOeexG3szaF3vC0xqCPU1zJvh2mym7c4o0WRmzWaO1shcwdZIv0EwD6aq03g8ydg++f5W6kBmtjQZDPSDWe0IjXZLqI5RMy3BUCXZinKc6N4hBw6bhEhMRmVTwNR6BEEQhDkoSEYACUELAJ0LvCgriFfAVDYGTa+XSeTmm5xCCQAtIW2vDsvTLTX8P1hbBm9Qx2jaFcx4fwSSgSetCStuhx1Ou5SyBz3UbaFaYtRuk5SbCTNj4TNhZhgADAS5mWw9VJViDpsEn8oA2Ky/nRomcsvyPeiU5wYA1PjNf5YIgiD2ZsobkpXoJYlzXiQmmw4UZLJrgCqoIXp+TuqHzNdmdt4XGf5j2G6p0g+ilgX6QbLsB7TYtZm33ZJvnwlPNs6EIKsOk6SkhUTbNc0PKdIa/APTnmRtK9GhSgab1RAVDclKdLtNQnFiQnxNs7VhAMSBBVVIEQc62fgMUJCMgCzLyk18xzw3Ovqs39hnCpgwgRsIxxAWHOGul2E1K5wNS/sFs4xGQSL1mv4Qn3DmMfKFYAtGMKJuC9Ux3hX8/ZWMrcZezbY28AXJxNotG1vja+Z7nSnBxzwTwxrS2Z0ILpfmexSBW91EApcgiP0TdgPfMdcNh92mtKCZvbHXuu7luc0lxHgH1Zhrt9TXD8yyQGRNPf8w8XZLEf8wvuuoXgtjck2xJJvaokMrIehziV/v9X5/sz6pUA2CaDMt1cKaALC7MVmJDgDFCT1e1UyJNsIYpzN+PLa0kI8dcWDDPgPsM2EG8iQj0ByMIByNB0065LiSN/YmL8palUrqNrwmwRHuLYpobisezZjuRqIxxWhYK1AkKkZFxqLLMtASiuoKV3C0dCh7dTlQ3xLmardUizef3hQttwNVTUHu1lCjdkvl/QxFEYvJmtV2atR/p2y2W7IgWPqABdHqwXRkWVYywWUFHgQSQxeokowgiP2V2rTWs465btS1hFHdHMQA5Amvp1WpZL6SLLtDesBxvfeprq3+YITP15NnuqVZXcIxDEDY50xnTdP7zKIfG9Kq8dNhQddgJIZQJAaXhqWF3rr5aeuaHSTFqGhIJNny4kGyjnluoJwqyQg+7HY7CgsLUVlZCQDIycnRDDoTxP6ILMtoaWlBZWUlCgsLYbcbX3u1oCAZgVp//OLrddrhddnRMTdRSWbyoqxVqeS02+B12tEajqIpEBYKkullA1mrRCgaQyAc5RKj6mCSkXDmLe1nz9MLfHmddtgkICbHhZ5RkMwo8MQQydoqk6l02kJF1wRPZl31eEs4ahj4Q5p3m34mWEyQNmpkwtmx1JxokREVF/5QVJlGWprvVt6TWn+IjHcJgtgvqU1oBZZgK851YX2l+USbVnLITFskOEz2zbTZ+3UsIKCyLGgNR+EPRlGcy7GmQKCIdyIj15psQjav1hGqTuNbsymg/zeCqsJOaJI3a93N8HdSv5Y/GIHLIa5J0wcimA3kMpj3WGl+XId39FlLWhMHHmVlZQCgBMoI4kCksLBQ+SyYhYJkhBIkY0ErtQeCmUCBXqVSnseRCJKZzQRrV5Kx1+YKknEY4otml5s5qr4kSYLP5UBTMIKmYAQlhmsai1EIClLuNV3mxHiexrpuhw12m4RoTIY/GOEKkjGfEpfDljHLKzoIgcEChemVZOoWmUA4Bq+GN4oWdYnPktthQ47LAZfdBikRFK1rCSkBaIIgiP2F9Eqy4sR5rtpqu6VmJZlYUqQlcX3I0Qho5Ztos9ebuM3IZXqHc10RTzLh5JVOdZpw1byGZ1zKPs3aNWQx8AaVfsuUaHTYbfA4bQiEY2gORoSmUWqta6YqUQ3z8Stqo8cpSEbwIUkSOnfujJKSEoTD5q1DCGJfxel0WqogY1CQjGgTJGM38qFoDI2BSBtjUiOY2MnJUKmU53GgsiloesKhL4PQS83YRrgCEWoxqul/ISpGA3zBp1xPPEjGs25SOOp/2H2J96WFIxPMI0ZhQow3Gfz+8QChHY2BCJqDEZRyrGnkGyeaVW+7buqx7XPZIUnxdtimYFg8SJZ2sxj353Gh1h9CdXOQgmQEQex3MA1RnNAQnZRqdLOVZNk17jdsjTThbclrr5BNywKYSAyxNdMTQlbWVK71WWwL5fndzbRbGg9YcCIQDgp7iLFAbRvLBlaNbtKTrM4fX1fdugwLAWfiwMVut2clUEAQBypk3E+0CZJ5nHZF4JgRuTytkcKTKA1aGdtnhLnZTKhBQMtM1ZehcT+bHGkscpUssEELpzJkQDC7nM0suNGNiPI3EjyetASuJEmWMsF1iYlXhTnJ4Bu7cSRPEYIg9kdYBa1S/WLxnKddSWbNuF9raiJ7XMjrSmgSpfF+eaZOQ1A/pHqvaq+ZY7LdUjegJWiyL+LHJhKAUoKEmhpCfOq2LMua65qtdmSwRBvTEMmqTKokIwiC+C2hINk+zPbaFsUY3ArpQTKoSrzZv4mgZzZvPhNsZLybGGHOYVyfup6e/4W5jC13ayTHe8AjRiGYYeXJAsNE4JG9T3oZa/M+JZnXzPOI/Y0YWu2WAJCv8iUTpT6tkgwqsctGxluhMRBGVROJZYIgrNESimBXfavldWIxWbmxL/altlvWmNAPSKlG1wpAiNo18CVbzFQo8Ux45AkUpXq56gWK+IM6qd6rPFone62R7TlgQKTiz0hDiLaFIqEzE38qJXDLyDOxnhqmE5iGYJNiG1qt6wdZlrG52o9YzHiyOkEQxIEOBcn2Uf67bAdGPPoVzn/hO4SjfOPFtWB+IuogGWuxNHNhTpa3txVl+SYywfEMq76pq9lKsmwaz/K3MfJnbXkq3qBut+Rq4dQPOCb3mf12U5EAoXqvWllgMx4l0DHuVz9mqpJMqahICmcrnyU1DS1hnPbEApzwyDz8sKnG0loEQRy4tIaiOGPKQpzwyDzMXb3b0loNrWElYFCYuLFn57xGk+c8beN+c+fmZoNrXnLycvba+CB4DVVfw3J0fFWZRYDImk67BLdDe81kki17CUGm1VrDUUQ4NCpfdb8F436tqdsuMU0C1fFnt0nwOFNvo7LmSZb2WcpGkOypOetx8uPzceP0pZbXIgiC2N+hINk+yr++3gwAWFXeiO8t3jCzyVSZgmRmql/0yubNiNzWcBRyQoRnWhNmjGc5BJk6IyjLxpk3nnZDpLQMGAtSceN+jnZLDo8SpLRLGL+nwUgUoYQQ5souc96MsDYVreBoUpCaa79JzwIj5e8ufuwn2y3Vn6X4/1sVuZ/+XI7KpiCCkRjeXLTV0loEQRy4fLmqAttqWxCTganfbrG0FqsWy/M4lOEqin5otdpume5JZq7dskWZRKl/HRGpSOYy7hdIColOneaqJBNMsoWiMYQi+gEtdauh7rVepS/8HBX+IolLobZYnYQYTFZ+MW2Qm8HT1sykVEZrKIpg4v0vTCTashUki0RjeOO7+Gd91s8V2F7bYmk9giCI/Z12DZJ9/fXXOOecc9ClSxdIkoSZM2ca/syCBQswbNgweDweHHTQQXjppZfac4v7JC2hCFZXNCrfL9poLUhWl6GSLD8LlWS67ZYmPCUkCfBqZFiFS/sNxrdDJciiMVkRLvr75KvQEhF6PNlqCGZYtW5A2qzpEQm8qdo6dMzuRdpP1M/LzRDMgrrdMhTlCmQy2E1Wpuwye6zRUrtl9ivJvt1Qrfz/D5trLa1FEMSBy7Jt9cr//7illqvSR4tM+qHQYouYX6M9Un2+jwq0jBkFYKwYwmfLP4w3IWamOs1YkySv2UbDfwLhmFI5qPe7ux12OO0S/14NglkwWTmuZ/8BwUAmo0nHrsFs4g6qz5LDJinV8+qqTCttkqvKG1M+jz+ShiAIgtClXYNkfr8fgwcPxnPPPcf1/M2bN+PMM8/EiBEjsGzZMtx111246aabMGPGjPbc5j7Hql2NUMcD1lY0WVqPXTgLVVMsCy3c2GfbuF8Z3+7UzrCKelXwiEd1ywNPVpCZxxsZ9wtllw1MZ5W9uvgrtPjFOH/gjT3H47TBYdc+rZidGGo0lSwakxWDYq51E6+fryNyzXiS1aX5iSCLQbK1u5Of8+rmICqbApbWIwjiwOTnnQ3K/4ciMWyp8ZteqyFxzlNPwbZ6ztNKDqmDEmKBkoTHmeZ1RMy8PRqT0Ro2ToqJ+F1xV30JBIp413TYbXAnqgCN1lUnLbUGIaTvlUtDGPjGQaWDePWDusI9W0OfoNKDeolgM55kSdN+l1KhxhLWMVl8irea9PuEVeWNms8lCIIgAP0rp0XGjBmDMWPGcD//pZdeQo8ePTBlyhQAwCGHHIIlS5bg8ccfx7hx4zL+TDAYRDCYNLJubNz/T/xrEhe7PLcDTcGI8r1ZMlVAWfMk0xaPeSaqdLjK8AWnU/FMorTZ4pMOm4MR+IMRdMpzG6zJMpaZq54YIhOaeKvTRLLLyu+eReP+pGjU/91FRW5SOGtMJVMFMpuDEXgNRLvyXF2Ra75dQi1yGQXe+Gs0mGw9QkLsb6mO38h6nXa0hqNYV9GMkjyP6TUJgjjwkGVZuWFmGmJ1eRP6luSZWi9TcIPd2AfCMQTCUXh0PLbSCUaiCEczG9i7HXa4HDaEIjE0BcIpgTk9WpSpkdmtRIdBUIddY4WCRJxTp8NRGcFIVNdrjMcnlOFzOxCMhAyHH6ntNNJbDdus6XKgviUspHV4Ksl422LVz8vm0IZkkk3brsGMfkia9ifX9TjtcDtsCEZiaGzlP+bTWV/ZDKj1w25r9w0EQRD7O3uVJ9miRYswatSolMdGjx6NJUuWIBzOHKyZPHkyCgoKlK/u3bv/Rrvdc+xMTKQ6sX8nAEB5Q6sl8/5MWVtLQTKdwEaeicmBTLRl06uC17xeJMPM28Zort2Sd01+749sTsw0Cmalryk63VIr+GazScIBUqS0S2TXkyyTyC3IwnSqbTUtiMRk5LodOLp3BwDAznryFCEIQozG1ohy/h3RvyMAYHud+XNJpiRWntsBFj8RNe83at3PNxGEYHtMn5bJSFZiR7la2ti1xm6TlAqsTIi1WyY0iVHySvXvRtd73sE/ENA6vNVpEKyqYpX4PDqPxzsNKp2Z47LDbtCFIDK0QdeuIbFei2BLMDKY9jOyUY2+MREkO/WQEgDAjjrrk20JgiD2Z/aqIFlFRQVKS0tTHistLUUkEkF1dXXGn5k4cSIaGhqUr+3bt/9Gu91zsLHth3crgMtuQ0wGKhrMt15lCsRY8RTRE6Rm/Bp4AkWiQkfU/4Nv3DqfeBQxr+cVpDkCEzP5fc6y76didsCC3t8+RzDwBpUnXsZKMivTLTNWklkXuOWJz3eXQg+6FXkBErkEQZiAJdmKfS706ZQbf8zCuUQ5R6sCWjabZPq8Z9S6b6bSt4XTlwoAWsL8w298LrtuNZWZdkuja6jdJinerEbXUZGAlk+ZkM1ZSWaQEINwQpCjkkx1jGXLk03UqgMG7ZbqwJmoZUNy8E9q8s6qxx9UGuIYJcnWasnjjCAIYn9nrwqSAWgjOJgZt5YQcbvdyM/PT/na32FBsm5FXnQpjLdbMeFrhkzTKK21W2oLCCtZYJ9OhjXpn8Vbhi8Y0MqiyPUJBGF4zGxF98mbXRZaU3ifYt5xepM4zbRLsCBtRuNdE8Ml0ver9jrLRpCsojEucEvzPeiaCJJZubElCOLAhOmHLoVedClMnEss6YfMVdnJCZfmJg8bTSMUSbQlE3eZAzsepw2s0KglS62BMKkfjKqxIaAhzAS0sllJJhKA4qlwd9ht8Dj5vNPUz9HzdBXxXmXoGfezlmAAaBKsRm/WqHDPhobYndAQg7sXwibFvQir/UHDnyMIgjhQ2auCZGVlZaioqEh5rLKyEg6HA8XFxXtsX3sb7Oa4S6HX8g1zJBpTJjdm8hSxEiTTN+4XabcUyQZmt5LMzHSqbAlnWZa5q9N8LhExKuZztqdMh8GdCeavogOAcDSmmPxnErlmPclkWU4GCzMFyVosCNxEFrgs34OuiRvbHRZubAmCODDZ1cD0Q/Jcko1KsvRzv9nznlGyyYznU4vBdVSSJFOG+PzXUP4gEY9/WHLKp1GQjM8nFQJVXyL7NDN1m3fwUbaq5s0Y9xsF9Mwkg6GyeEjXJVaDZMFIFDX+eJV7t6IclObHk+tUjU4QBKHNXhUkGz58OGbPnp3y2JdffokjjzwSTqc5s8r9jUg0plSVdCnwonNBXOSyx0RJ8f9QCYlCb7xdrN7Ejb1e9tLM5B+eoI6w8a6gIDPab0QVeOE32dcXzq3hqDJqvV2M+zkDWoFwDBEDzztenzPRrC3XWHiBAKF6TWi8r2yPPBUFaoKRGCKJP1imgHNTMGK6vYF9vssKPIrArW6mLDBBEGKwqrHOBclKdLP6ATqBCKuVZD6NynHFskHg/MzjQSpS5SyeZDN+D3irsWHKP8y4kiyXM9kk5HPm4tNPsiyr9qqv9UVaOPVsFcysx2B/q0zG/eo1WwR8ztTrpmtnK0lrAKhsjGsFl8OGohwnShIaoqqJNARBEIQW7Roka25uxvLly7F8+XIAwObNm7F8+XJs27YNSPiJXXbZZcrzr732WmzduhW33XYbVq9ejddffx2vvfYabr/99vbc5j5FXUsYMTk+frtTnhvFufFgVk2zucl5zYmLuMtuU0rEoTIbb2wNKy2vvOh5S6i9w3jXbVFEs44nmcAUKXCKZggEn1KDjUbm9XwCV2zUevzfW8PGZrH8QTK1/wevT0l2K8l4KulEA6Tstb1OO5wZPG9yOIW91rrQaF2WZXM+Z1C1SpTme9AxNz5ltZoELkEQglQ3xbWC+lzSFIggGOH3ZFKjde4370mm38ooGtQIRWIIJZI8Ph3LBjOVZNm0F/BzVMwre+XUO7wVbxAIaIm0W/J6sqkTTIb6ycVfpcXz+5uya0gEPbXegxzBxB1Dq/LPaiVZUj+4IUkSOlm8byAIgjgQaNcg2ZIlSzB06FAMHToUAHDbbbdh6NChuPfeewEA5eXlSsAMAHr37o1Zs2Zh/vz5GDJkCB544AE888wzGDduXHtuc5+iNlEyXeh1wm6T0CkhcmtMegtoGaOzi3JIVSElvmamKp34Y7IMw1HjjOY92G6piDwj7w9VsFFvJDsEqtOUzDLPqHXV72GUCW7S+Jun43bY4bTHX7fZYM12a7fM0L6otSavyG0yWJO9L7zHZ/pefS47bKpJWm6HXfFRMStylUqyfA86JgRuYyDCNeGLIAiCUZvQCh18TuR7nHAkzlVMW4iiVa1k1bhf6/okGtRQV/Pk8Az/EWq3NLjWc+oHCNggQK0hDNZtEgmScbdbiu+Tt4UTHNM9hSr+dLzD0l8vW8b9UCV0harRY1H4G6rhbd2Nglgt0FgO1G9HS8VGeBq3whuogt/fDMTEr/lq/QAAxb5Eoo2q0QmCIDQxvspZYOTIkbrVQtOmTWvz2EknnYSlS5e257b2aWoUgRu/UWaVZGYvdlrBIp/LDpsExOR41sxrUMmUac1MAoIZ5MbkuHDiEVps2pJuJZmocT+v1xenpwivaIZKOPuD8Wo6rQAYb7UbALgdNjhsEiKxeNuCVhtAWDU6PY/DpyTX7UBdS5hb5GbTyFi9ri9LFQAwMO1Xr5fSKhEJAo27sGv9SsybOwduuRUXHHcQ0FoHtNbhxpe+wk+bavD34zvipIO8wLN/x/cb63DhG9vRt5Mbn/2hOwKSHZ2mF+CeL8qxbEcrbjpnKEYdexjgKUCz7MWny3ai+0EDcNzJo4C8zoDDrbw8a5cozfegwOtU/tY1/qDSck0QBGFEbcJCoYPPDZtNQnGuC7sbg6hpDpk6l2hdp5Q2cwGDfXAksMwmxFwOW8bKYQZvuyFEfD0T161Q4rqrrtZPh10T9UzmlXU5K7SUNQ1sECAQfEq2BPIH3ngTgukJpsxrivuc6ekyc4N/9N9X5fcOBFG+Zgk2/boURx9UAGdrJdC4CzPnfo/nP/sFJ/TKwX2n5QOtDUCwAR882oSaVhmHBn3A1/E9v7c8hDv/F8DpB9lxf6EP+BmAKw+nTK1HRXMMr189FMcO7A3klmFzsxtfranBIQMHY/jIUUBBd8AR/3wDUNosO+axSjIKkhEEQWjRrkEyIvuwbC/LBLF2CbNl01oVQJIkIdftQGMggqZABCV54mtmElHMILcpEEFzMIISi+sxRKuJxI139YW+iJkte04kJiMYicHjzCzgRCZTsfe1oVU/oKX+N96JV3UtYY7WUL6bBp9AFjgUSQ6V0J9uKehzpnEzEvbXw9m4FR23/opbHLMx7+OvcOS/avD02fk4vlMzAGDF+jD+9J9WDCq14YJwrvKzqzf68f3mKG4ZGkI/OIEaINYUwfb6MHLsUfTGznjdbjXw/So/5myK4uLedYDtGwDA+vIoLn7Fj1KfhIrbEx+2nI54+Acb1tTZcGT3/oh2PQIlwS6QYodbvrElCOLARF1JhoSW2N0YRFWWE2281U7pGFUli1eS8U2iFGmzN2dZEIHL4dJ8rhkNYXQd9XMkmdLXzGbgrT2GAZgbpqSdEEy3qrAbBOlS1mXvQTSMHSvmY+GXH6FIrsfNznpMdG1G31kVKPhnDVrCwNobfehfHH+tyjUhzPk1AE/YARxZr6yb6wJqmJe+ZAdsDki2KGwS4HOp9hVqwsaqFmxrkOHcvQKw/wIA+G5lGFf9txUn9rRjwRU+QLIBRb2w8IM69A16cHj+WcD2KEo8ce1SbbJ6lCAI4kCAgmT7GCxIplSSWSybNppE2RiICIncWEyGP8QCJtrtEk2BiHDVF5evREi/OguJST/haMJgPUul/UJj0VWv6Q9GDINkPGuy5zW0hnWr3tiabocNDp2sunpN8IhcVp3VDpl1cLfa8h1PTYEICuRGDMdW4JvF+Par2bjs6bno4I5g8YRcdARwiwOYVe3HT9ui2LgrguM7uQCHB316d8Eph1ThsF4lwFFjAE8h4C3CPV3LcfaOJsyocePX/B64//wjMDgYxY/nbYHTDkxc3YTt1U3422kHYWKPNbh48xYMP7wbUOwEAvXAr+swot+36OCOAnYXEA0BLdWYtcSPhdui+M/523GJ62vgrSlY3+BA6/sBHNK1MxwjbgJwAlB2OGCn4SYEQehT509WkgFAxzw3UG4+0aY1OdLMkB5w2CuwinJe/cBe38jXUyT4xhvUcdht8DhtCIRjaA5GUOTTDpIJVaO3Q/KON9mk/H04ugvyRPWTUMWbSDDTuM0WCf2oVYWvIMtwbV+EQzcsQOevZwLzNgIVv+Dj75tw/awAxvR1YNalOfGkmAz0K7ajIWRDQ+EgYOAhQH4XnHKYA28eW4X+/fsDxx4LeIsATwEGOL+Bs0FG659PBPp2AgBcDqB4xQ7c+p8fcVlpAd68bDAQaMDHxy9G1a5tGHBwZ0AKAE3l6CT/gNHrF+OIzrb43V2kFajdhFk/NaGqRcajQ3YAr72KP0l22CoK8PZsGe9vGY0LLr8GKBsE2OmWkCAIgkFnxH0MJmQ7JNosmT9RrT/EnQVTo1cBxOudpaYlnBRDRsa73ObtQf2gm3rNmByfxqjXHipmsi+WXeURo3abBK/TjtZwFM3BCIpz3RmfJyIcwdmGIBp4S7YNGP3+vJVk4pl1t2GbjIFolmWgdhOw9VtMeuQZvDFnJR4a6cAlXicwB+hUE8WmmhB2OwHZ2wFycT+8v8WL7sdE8d7NgzHipFOBvoOBnA7oL0mY+2Dblxh5HNCwfCeefmc5HHnFQK9j4QNw1IATAQAPb1+E7ytrcWHxUIw95cI2Pz/0LODrO1T7bakFGrbjjk7v4sQfF6MuN4IVciMGuyvx0/Za/LyzFTnYgoMX3wMsBuDMwX2L8yEVdscV469Gr2PHAq4czfeMIIgDj2AkqpxXO+QkNITPWuuVoiHSEk5m9AM4rqXi+kGs6ovLZF/EvN7tQCAcyqohvo/TR0toEmU7aB32HKNJpCL7VI4rjrZYnumWRlYVcjSC3b8sQFnrOmDrt8DW77D+za3YUBvD2oIc9O4bX3tYz3wc19eLYUf0w+fdRuOdTW4cf8xwLN0+AjZH6pp9E1/pNEgFCNsCyPWk6qJcjwthyY2asAvwdQR8HTHo9D5tfn7UqcCof7CNy0BTBeTqdTh3/ePYtH4t8vv3BGKbYfNXYf3mXfhiaQglkam4IPQO4MoDehyDl5dLGHzCGTjyjEvg8PgM32OCIIj9FQqS7WMk2y3jF1FWURaTgfqWkGbARYtkFrhtsIgFZ0Qm8jEBZZPi0wMzIdoayeNLlaN6reZgxCBIxl9NxW2yL+AfhsR7y4Jk2mvyt0qAU+SKB954f3++LLhIZp1XOGc6npq3/Yw3n3sYS5f8iH+dIUNqqQIAVG9uxZbaMH4ql3DasF7o1O9o9C0dhDlHyxhy0lhIPfoBsoy77v4M0R4y/nn5qSgr8Oi+PkPPzJe1e3BVZUoS4CsGfMU4+4Yh6Pm7Bpzz3Dcoc3vw/Z0n4+S1i3F98QuI1G7BjiIPurWuRqy1Hs9/uRs1reswxrEIveZ7gG5HY0f+MOzOPRRDT7sQNged7gniQIZVkdltEvK98fOBMiHbsnF/5iCZ6ETf5HTL7Bj38ydwBCqUBKqpct0OVDeHstpyqPY11d0ney+z2RppYFqfuiZndZqJtlCxAQva60qShByXHY2BSHLN5ipgwxz8+Nl/cM5Ds1DsAVbdkLRXOLGXCzk5ToT6nwmcfwHQeQiOLuqNb21xPfno52swf8NG9JJK2wTI9GjTxpnAVFWmJAH5nSHld0bzSDc2dK/Br6cOQd/BXbB+wzqs2Pw4zsJiXHikD3BvB4INqFrxJa59ohl4YgYq7rwLpYefDPQ9DYFuI+DpcjD/axMEQewH0F3TPkZ6u6XDbkOe24GmYAQNrWHhIJmeODGTCVavp9XyKGKQC1UgT0/o2GwSfC47/KEo/MEIOuVpvw9mspa87YZ6Zf3p61Y1BXWz1iKZZd69amX9tcjj/f0FDYID4ZDh3583oOdzO+AO1qHT5u+BT98FNs4FKjbilieaEI4Bdx+ei94dvUDXYfjzhN4oOs2LD1sPR85hR+L+3w2EDcCpqvWYaG4KRLiPUegIXKjeFxFzYEZdS2KibY4TsNlQesgx6HimD28s2op+B/fF7af3Q2TnSjwQeByLvv8eQ/s7gZZdwLbvMO3rr3DPV0H86Yhr8ObdlwB9Twf6jwI8Bcr6M5ftxJKttbjltP6KxyFBEHsHsizjuXkb0BKO4tbT+uu2qBvBBv8U5biU63NhoqKsoUV88m40JqM1nLnSm9dcPp1sG/ezc65hu6UradlgvEf+pFj7VFMZB5/i1hfiLZyGxv3t0Bppbs3sTLcEgFyXHUW7FuKVWx7DKR1rcUaHrQCAfq0yqppj8Ick1JadhA6HjURLl2PxdaAKYThw2p2jgQxaKuPwHwNiMVnzGBBKsmWgLvHZLsxxAZIEX6ceWNH5XDi6noez/jkGkGPA7l/R+O3/MO7oV1FTXYlSdxBY9zmw7nPc8L9WfLPLhkevOQu/u/JmoMdxSmtmZWMAj3+5FqccXIozBpaZ2h9BEO3HzzsaMPW7zbhseC8M6V64p7ezT0FBsn2M9CAZElOkWJBMFH1PMtZqx78ul8m+gEEuBDPB/pB+dRbvHpNrxsWlUTbcz2kOnL4uV2skb9WXy1iQigbelH2GeKd78t008GTWDVslGsuBNZ9g63PPYNPbv2BNPwcgxVsMcz1O/OW03ijuMQDeP94ADDkNcHowCMB/P/4V/m+3GHrcNQUiymRVHvTe21zOG6VMsCBZUU7yM1+QmBzX0BoGbDa4ug/BdY/8G9ch0WZRtwXYOA+ty59Enns1TugSAVa+C6x8F81hB/7wmRtjzzoDZ197H/76/q/xm91QDE9cOFh4fwRBtB9zV1fiidnrAACdCzy4bHgv02uxSrLiNP0AAPWt4pVk6oBSm+mWHnM39kbXKKWSSDDJlq1J1jx7zLhfnXN/JBpDIBxLeT7PmnrXk5ZwFGy4fFbbLTmSlsJrtkNbKAwCrnIsBuxcCmn1/zAj/C6eW70VD30TwuZDHTjjghygbBCK+p2OxSO64/BTL4LLG9cWTY0BhDFXv1tC0DcPBlYlig41oR+AeJcJABTlxD+TTD9EYjJaQtH4+9N5EPr8fhA++P09cQ2x+xdg/WzI62fjy01fYEejjNwtnwNvzAFyOqKi7GSsiPbDHM9IvL+iGjOW7sS3/3cKd+U9QRDtjyzLuOXdZdhY5ccPm2rxzf+drOvZTaRCQbJ9jPpWVUYoQWGOEzvrW5V/EyHZ2qAdJBNpl+BpuxOeRMnZ2uBzO4CmYFbbGpQKIANBLrImVAEtPdEjvCaHyE+Ob+ereOMVpDzeH8qanH4qmQJvGxbPxYevT8GZZVUYKK8GAJzgjSISAzY02CEPGw+p32lArxF4wpOvu67eXlnVgUgVhF67Ja+3WybqEoHxIl+ybSNfHSRLR5KADr2BDlfhnzOvwqRWPyJbvwd2LATWzMJnC37Bx8tqsWrLNFxp+xBv2Q/BTOl4LPx1OGKxQbAJ+hoSBNF+zF61W/n/L3/dbSlIplSSqc4lBXrnEgPYudRhk+BOq3Cz7EmmUe0sUkkE1XUmh3tIT3ba+Bh5HOd+dRKKd+q00V55rC/U8Fb4i7RbqivR9QYqNXP4zjJ4WzihVZ23exUeuOM6TP1kEWZe6MKgUjs6Azjz4Bz81FSM8y48D/jLPUBevCpqmMaaPp1uiRzBQC5U76vdJsHjTP0s5SUqyUIR44FHmWDJdZZoy3HZFR+2htZw2+NYkuLDgMoOhzTiNvx69nZ88fZzOLF7A7Dxc6ClGv/+97/xt9lBnNHfjckXnIEZ0RGYu/pQXHqs+fMTQRDZZUtNCzZW+QEAO+tb8euuRgzsWmD4c0QcCpLtYzQlqrryVdVFTOQ2mhC5eoEYMyJXL+jGYCKHdxohryD1cYo8I8+T1DX5RJ5ohRZP+514u6VIdRqfT0Yuh8APJyZV8u6Vv4U1/u/d7fXAd88CK9/FxGd/wAerIqg/wYWHTvUA3Y5C2VGn4mhJRqzbUZDOOd3w9ZXKRJ2gK9ujSLtE+7Vbtg2Mi9zYOr0+OA8+FTj4VOC0STj6uHl4sPBRFDath12qxnH2VRhu+xVH/msKLvqyO5585EF0P/4imnRFEHsBv+xqUP7/550NhtOb9WDnC3VVaqFyLhE/N6mvzel7UrdbxmIyd/DduN1SLIGh57uqJkdgXZEElohXqMtug9shMjWSL8nGc7zwJi95NF76mjEZaA1HNQOVycCbsS4xM4XU1VIJ/PAesPxtoHwFlv3Ygs21EbyzyoVBp5yPp8sPxUuBg/DP14/B+Ud0012TR48q+kGgkiwZfLO3+XuJDDxKpzUURTChzwoTlWSSJKHA60SNP4SG1jC6FHp118gv6Y4Lbn0k/k00DGxZCGy7Dx193+F3/SRc4vgKlzi+QsXsVzH5tZ74w1/uQc9Bx3PvkSCI9uHnnQ1tvqcgGT90F7SPwQJheZ62meB6E54iemPHmWARKfHmarcUEDmhSAzhaLxnwGeQCfYp7YbZaw1kYicclRGMxODRyMiarfrSD5IZB3Myrcll3C9YScYTzAP3TYPxzUjUX4tlr9+B0tmf4+4LZGBH/PELB3rQIHkx9MzzgBvuA/K7IFjtx+6F85Fj0BLK4Plb5Qi2BIOz3VK0qgKqVokOJoNk6fQ84hTc/a9TAADXPvsBDqr4EodUzcbS8iasqtqCV2ddB/wwCRhyCaJDLoO9U6Y5XARBtDfBSBTrdjcp3ze0hlHRGEDnAv2bWi0yVbsq55IW8XbLZp2Aifqx5lDbqYFaGAVh2ONxbRDTnXwM1Tk3x+DaZMYQnisp5DHWJXo6TG+veolGcWsFtdaJZgzWhSIxhKL8baE5LjskKd691xyMaAbJRHQJb3W7HItiYPMibP/0BZzwdBW23JyLAo8E2Bz468Un46LcwTjn6juBgmKsemsJWnftFgq86f2tzFSiJ31d235ORAYepcPsGhw2qc3nngXJhLA7gT6n4PbXT8HBN27Bm++8jeLI9zjT/gO+/3Ur7np3DZ5950tsf3oM7EePBw4+BxAI6hEEkT1+TQuSra1o0nwu0RYKku1DqI092WQqqLJDZm6YdY37FU8yM+2WOlk2Du8sRmoAxsB4V9Akliugo3pf/MGIZpBMJPCmfp5eK6vSwsh5c8Ej8ptD2n/vTPAEd9jv4HbYDG9YdPcZiwGbvgKWvQXbmln45MMarKqKYeZqD8aPPREYdCEuuOM8XJDTIeN6LaEoV8UCz80DO9ZaOANvMDBetuZJxirJ2gbGzVSPMmRZxrfVefg8+jscdtilOOHyTzBKWoyCoq2AvxL49mlcfMtk+B3FmPyPv2Pw2OsAG99NHEEQ1tlVH0A4KsPrtKNLoQcbq/zYWOk3HSTLdJ2yoh/0gjvx64GEcFRGc0AkSKYfhMhJuyarK2z11jMKFuWqriPGe+RvD0xeQ7XfX9EkG9eaAUFNkvK+Zg6SpegxjuSdJEnwuRxoDkbi71mexl6Fhhboa5JoczXsK9+BvPg1vOXdiMOr/KgPyJhV3QWXTLgVGPh7HO8rTvkZMT86nm4JE5XoBm2suW4nAuGg8LRYxdPU50qpUNO1bOBkc10YP9qGwF9yIu7dVYlh3v/ilEO+wFEdmmDf9g2w7RvAV4Lntx+Mc/78d/QYeIzp1yIIQpzN1fFWy0HdCrByRwM2VDbv6S3tU5gfk0T85vhDEcQSRqxqwWnlYqdr3G+q3ZInAMG/LmuddDtscBgEYIRNYjkCRTabxJUVFGnhBGdAT7TqS1lTR5iJCmeeNf2cxsjpa7K9NG5fg/vHj8JpB+dDfus84Nf/QooGcc2JXTD6pCOx6+zXgau+AI66CkgLkKW/rtr8VgueGxJR3zyogoWZ1k16kol/RjMa91u4sU2uG1aCdif0K8H2spEIjH0W+Ota4KJ/o7b0BPxvTQSfrdwN+5d3AlMGAQseBZorTb8mQRD87KpvBQB0LfKiW1HcOHxnfYvp9TJdn1nA3R+KIpyoEuJF71wqSZJSFcOrIWRZNryeuBw2uBJagE9D8FVk+zirh9XVVNny4BRpYVQ/LxCOIaLxNxMJPCHhhcW8y7Sue2xNj9NYjzFEhhSJtK+mV+ZVrpyHCaMOwxF9OyP2xV2w1W1CE3Jw5qgRWPLFe7jk1TXAMdcAaQEytIMfnU+ZlGqi3VJD7/H646bDOkyKclKD1Faq0Rnb6+LnohP6dUQrPPim9BL8b1k5HvpoLXDSnUBuGX7dXI4bn/0E/YYci9pXfw9s/ArKRAmCINqVXQ1xDXF0r/i9E9MUBB8UJNuHaAwkfSvUFU2F3vjNs7l2S2PjfpFKMp62ATFBIj5q3XCEucB0JvBWUxmYDWutqRt8agfjfram0Uj0NmvqHANKBlRgTQci6FwxD3j7QthfOhaPvz0bc9f7MX+XBzj6z8CfF6D8kk+w5thJyD/oSN31PE4bWPEY1zHF8ffP4WzdTVmXvbc6nyWR9Rgs+MaC4UgTuLJJwVnREAASk+56d/QBCWNPOFzAIeegw3WfYtX3c/DM9aMwsGdHoHEH8NU/8dC5vTFh1GFY/8MXpl6XIAg+drIgWaEXXYu8iccCptdrznA9Vbd3id4w85rs81a/tIajSiJQP4nBPz2Q7dGo3ZJXl4jaC6i92bRgFWGi13roBGJEk1eAcaIxGXjjqwoE5zEgNt0y6T0rx6LAui+AaWcj551z8f7Xq7BydwQLGnqg5uRHcWzweXx60J0YNuoCgzX5E7d8STb+4QLp62p1DvD4w2Yi6WOcOUhmpRq9PKEh+nTKVSpSd9a1wtahJ3DyRODWXxA59QGcemgxfjfAgQ47ZgNvnQu8dAK+f+sBBP3U+kUQ7cmuhF44qnc8SLazvtX0PcOBCAXJ9iGUi5039eJsJSOkl71i4q5RoPolkwhPhzeYZbS/NvvlNu43WaHVDv4fegEtvcqkzPvkydjyBx3B6R+m17KbTuXGldj00pU48vNL8fv1dwDrv4DPKeOBcYfgrX/egGOfWAOc+RjQZQiaQ3zeJ5IkiVUn8rRLuFi7pRmRq91uacaTLNNnIH2Euxl2N8YvnqX5nuQNeF1qlqnvUafiL89/Ady2BjjvZbR2HIwnv2vFq7NXYcUT5wFvXwBsWkCZYYJoB9jnsUuhF10LM39GRch07bPbJGUQkOkgmca1VPS8x54nSUlfp0yInO9bOKu01C32sZj2+Uwxg+e0F2iP67K6mk676ou/JZR3r6LaCZzBR71rZ6b1HJEW9FvxNP5ychfgPxcCWxYi1+PE89echG9nvIyRT65ERb+L0QKPkPcsT1CrhSP4yJJsRseSGr0kG1R/R1HLBi0dmY1KMqYhyvI9yfOTutLV7sTgcbdizq/V+PeXS+MJUKcPdVt+xqlX3YuenYuw5f17gdZ603sgCCIzLaGIMtl2WM8iSBIQjMRQ3SzuP3qgwp9iIvY4jYnpU+kZoaSniPiBr5dtNDfd0riVUWQ6VYuAhxav2bpIdRpSMsHaYsIvIPKgEpl67Xfsb6MlmtLh8iRL/A7cUzgTGWP9AKHBTYgsA9sWAT++gvqFMzHt0wZIAO45tQsOGz0eOOJy3NyxrTk8e294fv9ctwNNgUjWjHeV99JEkCzjpFgPy6abb4nOU2XvvU674veTcYQ7BxVM4BZ4lOlWLDPcBqcHGHwxPIdfiJllL+PNF57AeQdXAeu/BNZ/iS9qu6Ox5xkYd/Nk2Bz8VQYEQWijtFsWetAtEci20i6hVUVbkONEYyAiXI1uFNwR9TVNDqvRn8hoZsKhXtANbaqzIhkN1GGgmTLv1bjl1ChAknm/doRaYtpVX4JJNnAEH0WCWelr6tpA8FbNBxrhXfwaprU+hhM/K8dsADcNK0H/0VcDx16HSwuSkylFKtxZUoznes8TfFQfG63hKNffwEiXKMeRYCWZljbNRpCMVaMzDfHrrkalciUdV9fDga6PASffhXVvTkJRzgvo5I2h5y9TgPWvAcOuQPSY62Ev7Gp6PwRBJGGfxVy3A8U+F0rzPKhoDGBXfSs65bn39Pb2CaiSbB8iOdkyexc7XU8yjjaBdHhaGXlaDXn2p7luFo37wekpYn66Jc/EK741eYKESkCLuzWSJwsezrhma2MtXrv3KjxzUR9g6hjg1/+ifwcZN57aA6efez6mHDodGPUAkCFABsFgJm9lQTgaQyhi7Ccj0s6DhJdOs86NTvKYjwqXOmcS+2yEOyyIXCZwS/M96Jgbv2A2ByMI6Pi6STYbTvj9dXhl3gbYb14KHHkVZLsHE99fjQtvfwJTLuwDrHwPiIpXzBEEkUoykO1VRG1Vc9D0elrXKbOtV0YV1ElfU751eac8Ck2i5AxquR02OBJ9+9mdRMkSYjxBIoEKLQN9Zi7wpq9LRH3OwHlt1rt2AkBd+VZ8NeUaYMrhkOZOwgmd/LjyqDw8eM056HLXUmD0PwFVgAyCwUwx435jXSZqAYGUybOZg7NJywaxa6vWe2u13bI1FFUsYNQaosaoSsVbhGOueRqby+sw89UnIZUcCoSaEf32WRx5SC/cNHYYarf8ampPBEEk2a1KhEuShJL8+Ge02oKGONCgINk+RFOQtVtm9hYQzQIHI1GEo/Eb9ozVL6rMFe+NvYhxv4gnmVEWWGRd062RGiJXlmXhNY2q9Iz+Nnpr8rQ18ApnZZ8h7WOgTTVBYzkw+z58dfMhuPqB13Hfx5vhj3mAIy4Drv0Gpz3+HdYOGA9/TH8qWXK6J7/INQpq8frJ5AhMYEWirYK9PXrtltGYjECY3xxblmUl8Jx+bFmdTqVulcj3OJT2He4LaHEf4OwnEblpJcaOGonuBXZc3rcO+HAC8PzRqF3wCiJB8/5JBHGgw1olinNdqptQ8wJXq/VQ8TUVrEY38ndMVtCKtVsaXfPMtNfnGFSjSxLfkJ5mVbUbD+3hP6p+fSOTfZE1jTSE0QTGTORx6BLN37+1Hj+/fgt69u6Nc+98BfX1dUDH/njA8Rd8fcpbGPv3t5DbMXPlUZPAXs0Y9+t1S7CpnhAw7zfqRjDdbmkQGDedZEvoB6/TjnyPAx1z4+cQXv3g9Oai51k3A9cvAi79ALOb+mJ5RQT/nr0UzldPBD79K9Cww9TeCIIAaph+8LlS/ktBMn4oSLYPodVumS84QYqhDihkmvzELtaRmIxghO/GnkfsibRximUD+ap/RAWpUQYvEI5xmQ2rMRLO6oAcz6h1cP7+TSZM9pHomNTyvmJ7zdn+Db556DxgyuHAt1NwRo9WnNbfh7vHjwX+sgQY+yxQdriwQTKP/wmP7wtUgtXIT4btkdfvi72uTYIyIUxNjssO1j3UxFlVgfTgW9qxpUyOE2y/YCSrVNyQJAnFCZFrmAlOw1lQiklvzMWmHbtRfPZ9gLcIqN2Iv/zlBhzcrQBzX/k7EDPnm0YQBzK1KpHLBG5dS1h4CiVDK3BiZkgPeCrJBINkvMkm3vM9Uq73PNcR/oAOd0KMowJIdE2evZoJkvEb95tYU+MYyJgQDDQAX00GpgzCYVtfR68CCT2Lvdhx9CTg+u+xIOd0hOHgqpoXG/okYtegv26OoHl/s4HesdxuqfWZN+GTirRWS0mSlPNTjV/wBlySgH6nY/QTSzDnzcfxzB8HIc8RARa/Cjw9BG/cOhqVm34xtUeCOJCpUyXZACiJNvIk44eCZPsQWu2WTIS1hKKIcpqEQnXx1Brn7VPf2HNngo39Gpi40Btfntwjv9DhbeMUbW0w8lBTP56TIUCSeU194aj2UeEdtc5+/5CqpbDtuokpWpxZcHVwJ6PYk2UUV/+IP63/Gx79v5tw7ZSPIEdDQI/jYLtkOmavbsDtz/8Pvk7dlR/hrQIQmaTl4/aj4xP5PBUFatTZ2kxeOpIkcQ2ASIe9vt0mweNMPQ7yON9HLVg2ibVxKUEyUZGbwJFbDJx4O3DLz2g+7i7M3SxjY3UIhUumAC+NANZ+Tgb/BMGJLMtKkKwox4WiHJfSwsXEryjJpFPqdYqdmxqFb8BZVZXBjb1goMBncH3ycVbpRGMyWsMmgiXZ8M9K26uehhI17lc/V2tddq3LF/APMwo+iibZkHK910+yAYAj7MeUW36PUYPKEJs/GQg2wFZyKGa/+wpWbGvEwPNvA2x2If9Vnqp5EQ9SXg3hE6xGN9I7eRzeuBnXTby/WvcNvNo+HUU/JG68OyZ0RHWTuXOTZLPh1D/9FX/81wrg8k+AXiOwfFcAV0z5En0PHYSaD/+PDP4JQoAalX4AgGLelmhCgYJk+xDsRjy93VJ9sRbJMhlVaalv7HkNx/naLZOC2kjkJkfM87db8hr3i0+iNMjYuuyw2bTNhtUYVdOJtAqk7xMawiwcjSmtfumCSQtJkpS2AvVeo+EQar59E/jXKfjjmutxe78dKPQAB/fuhsaLPgLGfwYcfBZgy1ChyBksEptsyidIeddMVpJxClwmRHkqKAU+o+rjID34pnw2TQbJ6vzxz3RhTlqWyaTIVXDnIXfU/2Hjtl348MErMKx3B6DyV2D6RXj/+qH4dsbL1tYniAOAllBUqeAuznXBZpPQwWfNl8yvJF80qlJN+h1pBXdEK9R4k2K8lT+tKn9FEW+qbE6yZu9BMBLTrAA0025pVKFmymSfXeu1KtwFElfKPg0nZkYhIYYLXd8h+Mxw3PfSDMxeH8D/dpUAF0wDrvsOpSOvgmR3tF1TN5hpIsHK5UkmdozyVqMnBy1k1ibKcAGBJBt0PqNWJm4DQH1LXCewwWHFiXNTtckkWwq9RwBXfILImU/jqF75OLufHcUrXwKeHgx8+wzkUAvHIgRxYFOX1m4p2hJNUJBsn4JVkqVnBl0OG9yO+J9SpJWLR5jlKUEysXYJvTXdjvhkPnCIXCaCcrLoKyHcbmmwrimB604K50zVdGYErtNugytxHGQSPrx+XOmk3DiEWjDvhb9iQJc8/HnCVcCupQhJLnzsOA1T/vMxPvhhKwoOHcm5nvbfKRiJKtVweTyVZKJ/e4NKhRwB0QzOY0DERyd93Uw3ZCItIplgIlfJMmVT5ALwFZXgvLunAjcvB46/GQ0RF659YyVO+P21+OLOk4DK1Vl5HYLYH2FVZG6HTWnh7miyJRoGPpeiUygZRgGjZCBfNMnGl8TgPd/bJCgayeq64sb9+skrcLTaZdyrQTWdkRG83l6NPMl4k2zqNTMG3mQZ6+dMxaeuu/Go7Tl0iOzC5DNL8K+/X4mzn/0ZOOw8wJapy8H4Wio03VJg4jpvok20Gl3xi9X0JDMX1NJqkbXablmX8EBm+qFTXuIGvCl7N+BHjr0KP2yswyvTpgOdDgYC9aj/+O84qk8xpj90PWIR85M5CWJ/R6lE96Umws12ixyIUJBsH6IxwNot24oeU5MoOQxoefw0UtfkLEUX9qXKThZYlmXhEe5KW4OBwDUjHLX2y1OZlAm9llMmmj1OfT+utnu1Ix9+FCx5GpgyEKW/vIyN1SEs3BZD45E342/d3sbfI1fB220w93psj1rDAFL88jhuHHinU/G3SvCPhAfnkAEzQS29z5NZHyEACEViys1Vh5zULFPWS7FzOgCn34/I1V9h3IhDcXiJHae6lgEvHh835/XXZPf1CGI/gAncDj6XUkWa9BQRF7l6HqRmW7eNKslyOc/LvOsxRM/3Wm3wbdcVMO7nvDYbJa8AcxVaRkETVv0vVo2uX61kxpNMq4I6uG0ZzhpShlGX3IhY9SY0wweceh+uf2czrn7gdTg9XuE11YhoR8WqQqfaT1mXUz8mK8nEEsxax4DIcAE1WglXtR4RnbgNAHWskswX3y+rcm0MRDTtPswg2WzIHfZ74LrvgN89jynL3PhpRwAPTnkZsZdGApsXZu21CGJ/Qq0hkM1ukQMICpLtQ7AgR7637cXZTCuXyCRKHvEcicaU9hBDkcvrIRUSmG7pMg6+tIaj5k32DbKrIsLR5bAp0wQzZdnNVJIhReS23asZIV61ZQ3yP7kFv19yFXosfwJoqcFh/Q/C/x69Hpu3lyP/7PuxK5wrtFf2PsXk1HYYNUZ+eW3X5DPJ5b3BUQSuYCWZ3jHA0yKSjp4HjJV2CVZFZpOSwbaCHHNTcjPx5JdrccQDs/Hxil3KY8W9BuKVL37B4qUr4Dj0HECOQv7xXzhrWDc8dfM4hFqaLb8uQexJdtS14KTHvsKFLy9CK2eblRbpAheq1qY6E59RvXOqWX8io+mWoomBbBv3+zkSgWp49mvGZD9ZjZ7N4FMioGfga2qq6ksr8GYhSKa8p/4a4NO/wj31FHjDtbBJwKNbD8O1HV4FRtwGuHK498kzyVskwWq0JtICr3x75DsPJH1NNdotzQayNfQp+z4c5R/MpYbpBJZkK1DZwDRy2rNosbnaj+MfnofLX/8RAaYRbXZg6B9xx3tr8eCfz8KTZ3WAo/oX4I2zIU//AzYvW2DpNQlib2DyZ6sx5P4v8cWvFZbXStcQSf1AQTJeKEi2D5Fst2wb5FBErokqFb1KHaFJlALVP7weEC0CrYxckxhVvwevyT7vFCnzAa22ezUjRpESfMxQnSYimht3AZ9PxIKJwzFz/go89W0zdjh7A+e/CvxlKcb+7Xn4ikriexUMEnqddsWAWkvgi7aK6LZ0qBA13dUbgqCGR5D7OAPDmfab6fg3Mm7Wg91kF+a4FB89qyPhGQ2tYTwzbwNq/SE8+OmqNgFrd9fDgIvfBi7/GB9XdsWstQHc8+KHqHliOLD2MzL3J/ZZXl24GVtrWvDj5lp8vHIXx09ooxckM/MZ1TtHiXqPMoz8PYU9yQyCbgxeo/XkepytkRxm62bsFZIBjszvr5k2RkNPMhPJO+OEYGLwjxm7huYmPHPbhWh+fHB8cqEcwxM3nINX/v0evj78Xsg5HYTX1KskFBmwwFPtl74udzU6bxeG0j2QWfOIDBdI3W/mz6hPFTg2k2irS7NrsNskJRhsVUNM/XYzdta3YsG6qjbBgpyCDrj75U8w+rk1wFFXA5IN7384EwOOGolJfzoJCDRaem2C2FPsqm/Fyws2ob4ljEc+W2N5vdqWzEEyq5/PAwkKku1D6AVOck3cMCsmvrrVL/yZYBagcNoluB36opTXA0IkE5wyiVFDSKincfGa7BsFI8wGtHJ1WmSbTfiJwODvxSOaN/40Hz88flHcIPX7F3B+/yjGDuqAo866CPNGzgAGXQDYU39eNEgoSZJhwEhrCpsWvBUL3H4iqn/naZfgCRRaabfM1HYr2gqtpi7NdBeqIFmjxQvoN+urlf/f3RjExip/5if2PhFnPbMC//r7lXj4zI7oHN0GTL8YePN3qF3znaU9EMSe4IfNtcr/L1R9DsyQKUimBLJNZIL1gjt61yI9jM6notWuopW+Ruu2cAbd2q6bneALw6jt1Ewlmd57EI3JShW+GeN+PZN9mKhOO9G2Aq2vjMPNT72Px+ZVAaWHA1d8ip43fAhn76Pj+zRRRZetSjKAL3EbUQ0/Mvr753BOYEXaFFatv5eZ6dhQBWbT3webTRLS9+kkE21JDZGfpUTbvDWVyv9/o3Ue9RUDZz0BXPstvqopRTgKSNt/AJ49AvhpGhCzVslLEL81i7ck9cOmaj921reaXkuWZcW4n2kIph+CkViyQpPQ5TcJkr3wwgvo3bs3PB4Phg0bhoULtXvI58+fD0mS2nytWWM9qrqvoyty2ah1M+2Wep5kBn5cvPtLh9uTTCATrA6+aAkJS1OktCY+mQxo+XQEqTK+XLg6TSfwpicaK9fgv/93OvofdTImPPYBYpEg0PN42P70X/SZOAfr+v4JrRp/Kr1AjtE+NdtPBEfNZ3togzqzzCNy+Yz7WWCY/+Kk60lmod2yLm00NLJYSbamIjWTu6pcO7Nrd7pw9QOv48Z3NgIn3ArYXVi7eB66Dzoef/v9sYj46yzthSB+KwLhKNbtblK+X61z3PNQ25Ldz2hyCnPbc0m+iSBZWFVlqxWIEG0Ry7ZxPzvX8tg1qF9XLzEimsBR7zeTPovFZFPV6Hr+o+rHshV4g5lgXu1mDJh3Nd50PYJbhsVQkmvDgNOvAK5ZAPQ6IW1NE35setMtBavzeBK3ai1g3C1hfCwpe1W9pna7pdggAKQF9TIP/4mvaaYaXRn8k6VKV0ZTIIwddcngwK+7DM6jpYfixbmbMOuV+3HHOYcA/irg45ux5eHjsfzLd0zvgyB+a1buaEj5frXRsa9DYyCCSMJbiGmIXLcD9kRxCFWT8dHuQbJ3330Xt9xyC+6++24sW7YMI0aMwJgxY7Bt2zbdn1u7di3Ky8uVr379+rX3Vvd6WnSyrEmRy3/g82RtRaZe6YnwNuvytksIBrV8nD4d2TCeTd+jaEBLL8tupv0CBjcPmYR4aMuPwLt/BF44BiPxA3xOoFtZJzSMex+4chbQ91T4Eu29mfYpy7JwQAscgk/kWEI7GPdDsF2Cp5XVSiWZbrulhSxwUYZKMqsXT3WgAADW8AQLPPnAaZOAGxfj/co+aAkDq1b+BPuLw4Ff/0stmMRez7rdTYjGksfp5mq/pWytYq+g8vop9MbFrpnPqF5rpJUkG3Suz+qBQjzm4KLG/bx2DaLVRHrnVJ6BR+noeYWaDmi5tHUJeyxe1c8v842qlZRhAAbX+qC/EQ9NGIMvbxuK3K1zEJbtqO07Fhs3bcUf/v5y3F8qba9mvNN4Ksm4taNAqy1Pt0SOQICYreuy2zTXZfvjGS6QXFcd1NPuQDGTaFMm52W5Gn19ZXPa96nn1YxIEsZMuAfem38ARj8EuPNx0xs/YdgZl+CF608DWutN74cgfivSE2tr07S0COwz6HbY4ElYC0mSpHxGs+E9fCDQ7kGyJ598EldddRWuvvpqHHLIIZgyZQq6d++OF198UffnSkpKUFZWpnzZ7ZkvHMFgEI2NjSlf+yPqqYyZMk1mRrjzZG1FyrFbDPxJ1PBmmEWM+6Ga/KnZxmehVSKbprsweA9Me5LpGferWgJ/+fLfOGNQKf509vHA6o8BAEVHjMX6H2dj1ooKFA0azbXPYCSmZCuy6n0iGHjMtnE/VO0SXGPhOdotczlEuOa6esb9Jkxyk+2W2a8kYyL3xP6dACAlK2xIUS/8/b0V+OTl+/HsRX0gNZcD71+BwGtjsf6HOZb2RRDtyfba+HE+rGcRct0ORGOy2LGfRqbrMwuY1ZsKkhnrBzOepi6H9rRkdo6KxvjMwXmvz7mcVTXs33M4A1q5HuNgoRnj/lwdXcIec9gEA1p6dg2qPfJM9WTo6QdZTla86VaNb1qAxy86BHe/+jlu+LgJ/s7DcUboYdwf+RNcRV1098oLjy41325p/LfPZrcEUgJ62jpXZLgAgw2FcjuSlfFqeI73TESiMaX6LNsaYsPuuH4YflAxHDYJ4aiM3Y0Bvh92uIDhNyA44RvkdOwOuwScLH0PPHcksHw6JduIvZrtdS2ASjtvqdawKuFAawpvtnT+gUK7BslCoRB++uknjBo1KuXxUaNG4bvv9D1nhg4dis6dO+PUU0/FV199pfm8yZMno6CgQPnq3r171va/NxEIx5JTGTMIPpG2SAbPBV9kXV6/JwgE30QFqZEBscgeGez9CUVjCEYymOybqKRSP183oGW63TLTPsM43vYzbtp2C2L/vRZf/FyJmWsiqOw5Frj+B+Cif6N08Glt96kjnNVl+j6hzLp+JaF4BWF22y2hOpZ4JlzyZK3NTKfSuynJU44f8WqV+hZtv6PWcNT0CHdZlrEr4aNwXJ9iIDHxT5Sz/nwPDrp3GXDSnYDdjcfeno2Bx5+OKdePAcLmAw8E0V6w475roRddCj0pj5khU0A/K+2WOhUloUjma1wmjEz7keYTytPSxT1YRXW+16tQYwN8RCdZ67bcmUq0aQf1lN/ZIxbQ0kveNSnVWSY9TTNMCFdPBs+oS5orgRkTgDfH4i+HN+GIri5Muv16uMZ/go1y18RetTWEmVZTrcpxWZaFtSPP9Vmkwp1VomsNkVLD8x6oJ6Lze/zpvwd5BjpMC3WQvtCboRrdQpUK82Hq1dGHzonzqGiywd2xJ975dhPWzpuOQw5JtGDOvBb//cswrF/0mem9EUR7EY3JKK+PB4OP7lUEANjVYD3Jln6doiCZGO0aJKuurkY0GkVpaWnK46WlpaioyDzetHPnznjllVcwY8YMfPjhhxgwYABOPfVUfP311xmfP3HiRDQ0NChf27dvb5ffZU/DLnaSFJ8OmI6ZEe48N/YiFWpiWTbtyY6MWExWBAZvJjjPwFslaTwr4H+hqmLLtF8tY1Qj9CqLzFanZQo+yrEYPn5xEqTXzsLbrsno7V+GQV28eP7akVj943yUXPkWUHIwx5raEzNz3Q7uQQjguBlpEvUT4az6EvGTYeb9PAKSp/LNjEkuT7ulmVYJdoFUj21XfybMXkAbWyOKB8oRPeIXetPmo04vcPJEyNd9h2XNxQhFgbLKBcCLxwGbtX0tCWJPwI7zLoVedC30pjxmhkw3+Yrnj4mb0BaNzHL6Y7xVJTwJJ0mSlOscV0UuZysjO/dFDCrUlOp77kp0Y71jyT9ML0iUxUp0q9XtMRmKkbyyZmKftjQNKkejeP2eK3DL6D7Az+8BkJB/wgQsWVeBSyc+C6fToVTIZd6ruH4ySoqlVLhn0deUJzDMu8fUddnfS1+X8ujmjOtqvAdmPcmYPshzO+BQVZFm4wacVY2V5XvQrTAHALCzXjzRBgC9T7oYuPZb4LRJ2O5340+vLMPhJ56JZS9fD0SCpvdIENmmqimISEyG3SZhKNPOFirRtbpmku2W4sN/DkTErqAmSc+OybKsmTEbMGAABgwYoHw/fPhwbN++HY8//jhOPPHENs93u91wu93tsOu9CyZwc5yZpzIqJt4i7ZY6opnB6x3Gux6D5wZfLdJEK8m0va7EBZnDboPXaUdrOAp/MJJSfQPOAEkm9DylRINE6Wv6g5H4dJ/VH+GT5+7G2JdWo4NXwqW9i1De5wIMvvAeXF/QVWhN/Smc1oN5Ketyisb09YKRGCLRWIpwy7SuT8Q3T6SKUmddXh+dlHV52i2DEcRislCQMtMxa7dJyPM40BSIoKE1jE554ufVioTALcxxom9JLpCYcBmMRA09XLSQOvbFjB+2Y8Gbk3FS9VtA7SbgjbOxtuQclJ73TxR27mlqXYLIJjuVSjKPUslsReQmAzyZK8n0dFQm9FrN7TYJOS47WkJRNAcjKM41/uy3ZNhfJnxuB5qCEcFggcGaqtf0ByOK54rWetmqJONuOUzfb7sEtJJJnPRjwWwlOqv8k+X4vtTJySbVe6m8VvV6/PL85bj6wUWQAfz+uME44ZbXgK7DoD4y8zwOBJtDGXWkGf1kdG1m+kmS+AOkyfeTZ7Kp8Zo+gyFSmdY1St753A7UtYS5E2NGAVjFi1Aw0ablI5eN6ZZMQ5QVuNGtKJ5s2FFroXrc4QJOuBVywbE47ovz0VJfhcG7/g28tBgY+yzQ41jzaxNElmCB4LJ8D3p0iAeHd9UHhLU9Q8tOiSrJxGjXSrKOHTvCbre3qRqrrKxsU12mx7HHHov169e3ww73HYyqvsyMcPfzGPcLBN9EjFJ9AiapNgnwOPkO1WS7pUbwxWLWNtO6pgNFeu2WgkEiRp7HAVsshLJ104EXjgXevwJndtqBI7s6cdpxgzE6+AhWDLwT4AyQweDGgXleZLMtFKp2Wf7JVOqbJm1RKtKCwXzweKZb8lQX+AQq09LX1Wu3BIAWQYNwLfFs9QJaocoCF+U4lfaQ6mZrWSvJZsPIK+6GdOMPwJHjEYzIOH/SdBx6cB/8+O4TltYmiGygtFsWedElUUlmpV0i0/WUVZJFVFXWvCgBI42gQZ5gNTq3fxjnutGYrCTGjIIQdpukVDPpne+Tw47EKsm07BpaQlHF1shce6C2fhBNiOUltIEst23pU6ZjC2oSSZI0NZ+yT7cDiIaBhU8ALx6Pw+Vf8bcRuXj8L+Nw7D9/ALoOa7OuT0dHmtFPRoN/lAEDAp5sPIlbkaCrmUp0o/dAsYDg1BBGmpynclJ3v57s6gcAqGiIa4iSfA9K8+PtlpVN1qu+ehw+HF+s2IVP3nsDttxSoHodoq+OxuTLR6Cxaqfl9QnCCjsTrZZdi7woK/BAkuIWPzV+c9pZ67PPNISV4RoHEu0aJHO5XBg2bBhmz56d8vjs2bNx3HHHca+zbNkydO7cuR12uO9g5K3BBJM5TzJjs1CedYUmB/IIklCy9YJX6BgZ97OgjGhQR/F/yiBOmgSEk5pcndJ5Uy0YkSCkhU8j8q8LMf2FxyFXrQU8BbCfPBE/ri2H65KXUOfubDpAaDQMIFtrwkR2PcWvQ0dA8gSGefeYsl8e434T7ZZ6otztsMGRyDCZFblapdhmL6CsVaIk3wNJklCcG6+6rM6CyAUAeAqAs5/CztGvISI5EY3G0HfpP+ITWpsyt/ATxG8Bu5EryfMoVZg1FoLDmQbheJ12OO3xz7yoeb/RDb7opDveISi866qvrSLnZx4PKX7j/uSambzO1Im7TLYXmuvqtVuarCTzOG1gBQbp65r1SQWA/ISGakwPkiVeo6xiAU4+tBOqP54ERINA39PwyEe/4q/PfACHK3MFok+n5dbM76+uHM806dFMtR9XuyVn9STveoxk5Z9Ru6WYhvAbvA9mp1sa6QcrQTJ2Hi3L96Aj0w/N2dEPkiSh8NhLgRt/BIb+ES8sDuGuN7/BcYP6ILqavMqIPUcl0855bjjtNhQlBmLU+M0d+y0Gn1Ezw38ORNp9uuVtt92GV199Fa+//jpWr16NW2+9Fdu2bcO1114LJDzFLrvsMuX5U6ZMwcyZM7F+/Xr8+uuvmDhxImbMmIEbb7yxvbe6V+NXxF5mYZb0DuM/8HmCWiIXer9A1pZnGqHyOwuY7OcaZILN+ofpZS7NTLuCYQuGQCVVuBX44WXgmaEYXfkv1Poj2NEIbDn0L8AtvwAnT4TkK26XKZxmW02N/v5mgoR6k7nS9ytS7djCdewb79eoei4TejcQkiSp1jR3w5wunq2K3N0NrJIsfrPUMdG2ZfZCr8VBIy7Aig0V+PLJ69DB54xPaH3+aCz+9/2QY+aGDhCEWWRZRl0i41uc68rKzV2mJJZ6hLuoL5lxNXoi0SZYSWbUIiY6pId3yiNPZS5LLvJeR1iyMZahOgtp52OxqZEcleiCJvvq8396EtPstR6qlrn0RInf78et9nex4d2HMH9dAyYtBHDuS8ClHwCFPXTX1PU1NRHQM5r0aGVNLuP+9qpE52i3hICGYMeb1n7N+ppqJQWt6odgJIraxHm0LN+DjllINmTEWwT87nkMumwyDip24aYjJdjfvRiYcTXgr8nuaxEEB+y4L07Y+Sgaosncsc/OO7mu7H5GDzTEr6CCXHTRRaipqcH999+P8vJyDBw4ELNmzULPnnEfmfLycmzbtk15figUwu23346dO3fC6/XisMMOw6effoozzzyzvbe6V2NUAWPUZpgJngu+SDm2UACCw58p2R7Cf5gaebOZDhS5tNc12y6h1dYQjsYU83O9fTbs3oaXJt2A8l8WYsqp8ax3XsfOuOjigdjY54/ofdH5GfdpuoquHQyCtSoUzZgj57j0/TrUE6+4PEU4BWk0JicvSNk27jc4tnLdDjS0hoWNd7WOBctBsqZkuyUSAQNYuNDr4ckrxOA/Pw9UXAt89BcsXLQYJ028D2c+8SI+nP09XB3Jq4z4bWhsjShG4R18rmRw2OTNnSzLmh6f+V4nqptDwp9RI8/QPMGAO6+/I++EbHWlG08AyscxECBZScaXaPM4bbDbJERjce+xdC1j2YNTx5OLZ5hMpnWbAm393sxe6wEgP/EzKcfX9h9x7OxrMMq5Cced48HTa0rwj3/PAnpqD/xJ2SeHhsgTsJZw2m1wOWwIRWJoDkZQmJPqE2umOo2nSos3MKx+7VCi2s2p4ZMKgUQrT3JZjZGOEhnMlWnddF1itRK9sjGeVHA5bCjMcaLYFz+PZquSLJ2TLrkFP4+5FN7vnwJ+eBH4+X38+t2X2NLvSpx17T/a5TUJIhNKkCyhHeLHfrPpBLPW/Xg2fAMPJNq9kgwArr/+emzZsgXBYBA//fRTigH/tGnTMH/+fOX7O+64Axs2bEBraytqa2uxcOHCAz5ABo4pTUZTHdOJi3DjLKsiHEJRxGLao9bRLu2W4m2MRt5sZidJaQWKUgIkWRLO6tfI+Ls37QZm34ct/zwKd770CZ79tgEbQqXAWU9i55++w9wuV6Em5mv7Y5ZbI7PUFsrTbmki8GgUhFJPvOKrJGMj3PnbhHg+S63hKKIGnyW08ejRuLH1aP9t9NBqETbbfsFgQQGWAWbBguosV5KlUHY4cNUcrC8bC6cdKEENXK+OAFa8A2RomSKIbMOEbK7bAbfDrgjdGn8wY9ueEa3hKNgpIv0zamQpoIVRe6SI/yhMeJIZrdssMDkQHOd7GEz0zITakytj1ZeJ5A1SgkT6E6JF0Tpfm2k3ZCiVZIEwgs0N+PsfTsC7t45EfvMmVMkFWHbkA/j3wk0o5gyQQUfvRVXeesLvKUd1msgUcz37C4aIXYO6xbfF4PqcDOoZtFsKTIoFR7tlnoYGNUIrQG7GG1kN81/qlOuGJEnolBcPfla1U5AMAHIKO0E64yHg6jmIdDgYV7yzE2dfdz+eveo4oLWu3V6XINSwY58NhlMSzCYTbVoB/XyTgfEDld8kSEZYh9dPpCXEdwMejMSU5/EY94PjQmpqciCHfxRvFli9rlZljdFIbC20RF5KgCRLa7K9ux3xbCljw+K5+PTescCUw4Fvp2BwhwD+clIJXp/0Z/S8dzlw1FXIy8uLrxGMtDkOWOaAZft4YeW6oWgMwUi6QbDJmwZOTzKR7LJRu2VK8JHjGOVtReBtE1JXr4mY+ab/bOY98meF1BV16eJZ1PMknbrEWGmW2VeCZFmqJKtq0gg62B0YP3k6ln31MZ68/Ggg0AD89xo0T7sQFRt+zsprE/sfVU3BjJ5GotSmC9zEf8NRGY2t4p8l9tmXMnhfiVZ8MYyqaBWrAsEbcF6zcd52S16TfZ72ekVDCASL9BKOVivRM+mSZKJJ7LoMnQSW2eQVVPrAVbkSr1w5CP+c/i2unxXA97mjcGrwMWzudKrwmrkadhU81zgt9CwwFON+kXZLgcpEniAZr08qBI590euz0X712oB51k1/f5O6PmoqOZDUD/FjkOmHpkCkjfY0gz8Y0bRiQddhiF41GycddwyKvRLGFf4MPH8ssO5Ly69L7J+EIrGsVTm2bbe0VkWpVFG3SYSbS7IdqFCQbB+hRWVinwn1xUqkNRIAcnQMaFPMwQXaJYzgudiLZoHBUVFnNsOqmbFNvNcuuw1uh5jI08rctwlm7VqGb+8fgwHHnIbLH/8E/tYA0O1o4OLpeGZeOS6/92U4PfGRwXkax0EoElOqkkSDZCnBnTQxnjLxSmhN/VZGa54imddke/c67bBzjFRmv7fRFDn1XvXahFz25GeJy8w38RyXQ/vYMuNzpq5SSX9/RStS06lP+CQVKSI3e8a7z3+1AUf9cw5uf3+l5nMOHXE2Cv8yHzjlHsDmxB0v/A8DBw/Bx8/eSVVlRAqzV+3G0Q/NwbgXv+NKLOmRngX2OO3KOdFMFaUS3HHa24x/F634Sq5p0G4pON0y28b9IgEIcJ77ki2mZhJtbW+mzfqHcVkWmGiNzNUImCoaIkc88FbolnCL4wOM++lyXHtwHUb19+KVhyfiywH/QCNyUeB1caySik9jmjnPNU50TZjUeVzG/YJBUuana+Rryls5L2rZYBQs5Qk06+5XoxI9GpMVyxAR6hNBMmZanu9xKprJqi9ZRUMAJz02H8Mnz8Pman/G57h9+Xj8/e+w4cc56NJrANBcAfznAnx095lo2L0t488QBybhaAxjn/sGR/9zDuavrbS8XnqijWnnGpPaWet+nHfaNBGHgmT7CEYC0u2wc2etkDYOPl2Eq5EkSddPInVN/nYJVp0UjsqaGaJmC1lgrROAWa8OLXFiReBqBQobWsOQ5RiODv8IvPk74JWROCbyLQ4qsuHYAaWoPecN4KovgYPPBGypH2G3ww6PM/5Yo0rkq/vPRVoQAMBhtylrZuv31/PWiMVk5Rg2M/HKqDpN9CbM6Ljn9T9RGy3zDcIwXlfUowSqz0CmCW1mb8AZdWkil13w2eNmiURjeHH+RgDAjKU7lDHxGbE7gBNvR+tlX+D73S7UtMTgW/Is8P7lgL/a0j6I/YeXF2yELAMrdzTgmw3Wjov0LDBS/PjMBMm0z1WiFV8MQ+N+wRtwXn8m0YrcrLZbKtXoJhJteu2WwlVP8TUztdqzYUtmWiOT1VSpGsps1fjyeR9ix+OjcLN9BmyIwjnofHyxbAfG3fRP1LeGTK0JnWPAbJINBn//9vIkE9YQnO2RvBPSRZNiRp0TZnxSoXN+ynHZwfKETYKVrgBQ54//DKsks9kkFGVJQ8xYugPVzUE0ByN4c9EW3ecWDjwFuHYhMPxG/LQrhnEPf4bDD+6D3T98YGkPxP7D/LVVWFPRhJgMvLxgk+X1WDCM6YZkJZnZdkt2P55Z42tWVBIpUJBsHyE5zlVbnImYcGqVYmZcl7Mku5ljjwy96iRGiwlBalRKyitG2u5XvzXSip9Iit9bNIzyL59D7lsXYdEr90De+BUg2eEYfBGW/vAdPllWju7DzwN0KpbYCHd1YIz9f57HwVVFpbVXrd9fNPCmJ0j9oYhS9CPiSWZ0MyZaVeBjmWrOVgmu4LCAyOU5tnyCHiVIE/rplW9WPEVkWUZdS6rIzdYknZ93NqTsacnWWsOf8fYahu/X7sYnD12OU/p4gFX/A54/BrWL/mNpL8S+TyAcxdJtSb+ZxZuNjyc90rPAULUcmxm1rtfWJ1rxhbQWa63zibAnGadnKK8uER3UY3SDH4rEEEq00vKuqV43UxDS/KCa5DVHq+XQXCVZ/PyaKdEGgL/qKxZF3WcPY8SY3+Plhbvx0go7pna+F7hgGpDTAVCZsZsJkmlV0inTxi0kGTO2xbbTdEsR434IVKO3u3G/Qbul6PW+SeOYlSRJSYCbSbSlV5JBrSEEp/mm8/W6KuX/l2zh8BpzeoHR/0Ts7CnoUeTCMV2AklnjgU9uBYLNlvZC7Pt8vyk5BXXZ9jpLtg3haAyNic9Lh8SwCqah600Gh7Xsj/JVGt9MS/SBBgXJ9hGaOTKiIqbbQlVfvJlggeofh92mVLFoTqJMrCeSBdYT5HpeTIbragQ3FO8LE0GylNbIhipg4ZPAlEE4ecsT2FzVitVVMazvdgFw0zJg3L+Q1/cYrnXVxrsMs5llhlZQq9Hk7+/TCe6wx5x2fY+vdNqrkszIdFdk4plIewPPDZkZDzG9VhQrxv2t4ShCkbhQYCI3W0Gy9btTRemK7fVcP+fy+nDWxGnA1XOBksNQV1OFwWf8EVeffiiaa8ot7YnYd1m3uwnqgp4VO/iOJy1YK1CH3Aw3dyaOfb1KMqMJzpkIhGOagwAYohVqvOfTPM5zCm/7prJuIjGjtV/1wJUckUQbG4ygW0kmdh1VV/qnn6utJNqSAdPUY4zdWHFd72s3AdPOQtEPk3HviS6cMbgUL3d/EPOdI1KeZkVDaAVjGq0kGbM8dZvHT0vEuB8CQSitaZFa6/Ea7RsdW2Y9xPQ0j96QCiPq0uwakCUNIcsy1u5uUr5fVd7I7XF21NirsGLdNrxy77XxpOKS1xF87jis+OJt0/sh9n1Wlzcq/x8Ix7BOdXyJUpdIstkkoNDLEsxxLWH2uNcKvLPPZ0yGYsFDaENBsn2EFo4qGJGskIhJrrjxLq/IjT+vUaPskwUntCZ66u01k8m8nhcT77rNAQ3vDxPC0e2woaf/F/SZ/RfcfFpPYO4/gKZd8BZ0wiXnn47rnp2J/hNeA4p6Cq2bHMOd/HtZyQJDbTycLnJNrsv+9sFIDJG0DIxagOl5fLXZI6dxP+/xyQZGZNNLx8xnVL/d0kSQLKDTymUhSMYErstuU967rAXJKuMChPmTbKlpEVugyxDgz1/hS8co7GyUsWDpWuC104HtP1raF7FvsqY8fjyxwShaHjW8sONbXQHBMsGNFirJMl2fzVR7qm+qtTxIzbdb8raI8Vbk8l3vjbxV2NRpl8MGp1082ZKtCiWGltG8FQ3BfqZeVWUTjcnKdVpvTTkWw5v/uBrbJh8LbFsEuHLx14dexC1vLUW9r1cbXdYeQbKGtMpjEXJdyQBPOuyYyBeocGd/n2hMRjCSuSrEbLul0YRsvWty6h7FPvtK4lrjeGXr6f3OuuvqaAhT7ZZpg3+QJQ1R4w+hviUMSYoHIqIxGTvqWrl/PrdDKYoueha4/GOgoDvu+XAtjjzzj3jmL+cAUXGtROz7rKlIaIjEtWVLtaAmVaE+tzL7o+Rxb+740rrf8TrtYM1ENOHSGAqS7SMo7ZE6VVUiGWaRSZQ8E3CCkSjCUeNpmWqMxL5oUANpF+30/ep5MfHuNT07ZipIFIsBG+ZCevsCPBN+APOWbsZbywLY6e4PnPsinhvyX8ztfTMKuvYT2iODldM2Zmi3NBsk07qBMruu+m/aZjKXyfYTY+N+seyyemKsHiLtMiI3ojw3ZGaM+/X2aylI5k9OpmLBzWTANpxsKTbBhsp4Jdmph5QAALaJBskAwOHGRf/8APPfeQ7TL++F3JbtwOtnAF9NRiycnembxL7Blpp4UOyUAfHjaVd9q1IFaQYWUFBXglirJNOu9GZVTCLtljwepKKffd6qmvYy7k/qnczvr+j5npGvUZ2l3qOoJxl09I6Va3OyJSe516ZAWLEr0FyztR7/uGgoLp/0Gi7/oBaxHicA130H21FXoiDR7pN+3FrZZ7JNMDveaWiPdkuVFja2bOCtJMvsGZcOb+WbT2dYQcZ1DSrJ1AFzIcsGjkoyc+2WiWSDL7uVZEw/dCvyon9pfAL8tloTGqL3iYj9+WtsRVdEYkCv6rnA66OBmo2m90bsezQGworFwskHdwIAbK01n2hL6gfVcZ/DjvuQqbZIreupJEm6lgJEKhQk20dQplvqVZVwGuxDUEDyrKsWP7yVX0ZBPSZIRIz77TZJef30dfW8mIzQzIQKiLya7Rvw+A3n4pkLegD/Ph/YMBuHlzlw6Qk98fLTD6HL//0ADPkD6oIS95qZaI92S61jwOy6TrtNqeJIHzSRFGBiaxq3W4q1SrAWnbhHmvZFSsR82CcgcnnMh81Mp9IT5FkRuKosMDsWYzLfQBEtdtXHjfpP6BcXJNtqW0z7KZx40Q048qGlwKCLADmKmS8/gOMGdMKGxXNN74/Yt2CDHwZ1L4DXaUdMBnbW81cWpMMSEurKlUxVPrzwGPenTzTUg8eDVNSTjDdgpGeEr0Y0KcabZMsRqESHUSWZyXZLaJz7w9GYou3MXJvZuVZtas6uyTkuu3KNTWHbD8BLI/DHzptQ6JEwavQZkP80U6lYZ8dwY2t2rvXg8k6zEnhr+3cyY9xvs0nKsaJ1PW0RbbdklWQ61+dwNKZUceUZHFc+jWCjFkbBN5tKL4toCL1EprVq9PapJNuVOLf36JCDHh3ik+BNJdoA2Hwd8M43G/Hdmw9i7KCOwM4lwEsjUDnnecgx84kWYt+B6YcCrxMHl+UDFo4nqM61+d62SbZwVBZui5RlWamwzexrKp5oO1ChINk+Ak97pE8gOiySteXxFGH78zhtcHC2NrAPqrbIzTydwwgt8WxmLLiypkarBLsB0hy1Lsvxlq4Pr8GCO4bhby/8Dw9+vgtBex5w9DW4teQ1fHP88+g44jJIiUmVTAyYaUFAisjNvieZOiMaiiQFvql2CY2gltm/k8/AaF+4nSfx+rJB734zp4E1BCu/eG4afZzDBdToBsmyInCTx4LHaVd85awY71Y0xkXJET0KYZPif48qk6Ox4xsrAM5/BdFzX8Hf5oTxw+ZGvH7774Cf3gDIzHS/Z1dD/KapS4EX3Tt4AbOVBQmYt1K+NzsVEHrXZzPG/TwepKKtXC2c5z1e30TRKh2j90HEd1WNXhunlXbLTEFI9bGRn6VKMkU/pK3X0tyEr5+9Hpg6BmjYhr59DsKWn77CxJc+gd2ZfC67UVMn2YKRKALheADAXNWXUasp54CBlDX1gpnmBgLorakeBJHL6ZPLc+yr/83I/kTk+qzu7tB7H3JMXPP1kuxmJ2ZCI9GWjSDZ7sa4VijN86BncSJIZuF8L0kShv/pbuC6b4GeJ6DZ34zjL7oJ447thdrtG0yvS+wbsKBr5wJPMuhqST+0TbL5XHbFXkT02A9GYsoU5YyWDSZ8TQ9UKEi2j8AzSUrkwOepTGPwBN+sGKVqjaL1mzDuT11Xo0LJhMBNRt75WhCaqsvx8l2X4ePrD4t7H618B2P7yRhzWBH+eevlwM0rgDMfRSi/F5AmcpXAm+lKMiZy24px8+2Wbavz1Cdu0emW0BHOyjCELApcmJie5nUmx5nrCUgR436R6VQ8Zr5mplPxBMlaQlHlIstLXYbJVFDdyJkVuYFwVPnZbkU5yvSfqiYLQbIE9iEXYe78b3DdyT1w3wgb8PFNwDuXAv4ajp8m9lXKE5ngzgUelOZ7AIvHU5MicrPTbtmiEzDiNcJXw5NkyzOozFIjYq+g6BKjilzBKh2jqdtJ/ZD9SjIzibZMQT12rTc7dZqda9UT0Nia6qBbxfoVOHJAF5xx24tYWxUCBv4euGYhCg49qc2a7LgNRWIIJJJD7BiWJLGJ0wyt99SK1vHp6F2R6u5M+8xUqSUSzGIkq9G1k2LseOBJMCvDhDiSYur3xccx8Iu3Oi0ak5X7B31PMvOJtmwb9+9OJNlKs3S+VyjsDlz+Eb4t/gO2NsSwZO0OSFPPADZQVfr+DNMPXQq9KCuwfjyxezX1uVWSJNPV6OrzrC/DZ99MNfqBCgXJ9hGSJvbaFztlzDbHBVSkqoYnM2TKP8xgmlaL6Uxw5go1MyX4jELVhVrtrcQu3PleZ7wCZcu3wMzr8a/LBuDayW/hgY/WAg4PMORSOP78FWb9XIMJD06FO784vq5Ou4TZgFahV3tNM9lqaFQssTXNCnyfxqjwpgwXDB6MjlOeQLMaSZJU7RI6lWQcwSyGSFCLZ+qZEtQS8STTCRarHxOpToOOP59VkcsErtdpR77HgU552QuSAUCPgcfghTmb4R7zIGBzQl7zCW46oy+++s+UrKxP7F3IspwicrNxPDUq58JsVZJpX+/NtETzeJCKBMhT7RX4gmSyrO/vKFrpaxTU461001xXb7qliUARu9bXt2bvWp9st9SpGl/3JUpmnIuunlYUem2oHvZXYNyrgCc/45o+V/J6zm7OlOPb7dD0tNPDpzq2Muknc+2WmfWuLMum/0569gVsTbeDv1vi/9m7zjA3qrN7Rn1X2t7XvVfAYIoLvZhO6IRQEnoJIaEGUgikwAeEGnoLECChBAIBU4PpvRcbG9zb7nq7tOrSfD8092qknXLvHW2C1/c8Dw/2Wr4eSTNzz5z3vOcNMQT387Twks8xlVFtpzPmc4zdlvyMN7JBf70Zfb5W4qUV9J0JVSVy5BKQ9rimCn/J+QNcbux7wR1477lH8OipU1CT3ZSLU3nhUqipeGn+DYnvFTZqTrLmqgA9nzpKwB+KB42Invv6qAGj+7WIG31LhRTJNhNYTbsiCPrYT3yedksWhxrPIAACu6wS/SbPA7PgXREhj4AQ3Kxa+Pn2xVKo7V+Gj274Md49bzJw/wHAZw/juOkqZrQEcOyRhyLz86+AQ28DRs4GtSbRdc3bJUxbOG1QG8wdKwmWRAlaOI3EHadr2rVb8oqZdnkdEQHxjWXCJc95xdp6xLqumRvPClafr9/jptN6eElu2EQsdC6Saa0SlX4oilJ6kgsALhcw/1zg9EX4x+oG/OWtXux/4nnY+NjFQEZW24YTeqIpGtLfWOnXkVyxB5qsbpqgUaaIWHC/+X4v4tRgySAtGKZiI5Dr4xXsCiT615TqPoqiuAYjh5qV0MiyrmG7pQDPISD7ZPdA/nxwOnW6Wgs4j6Uyg1xfoUwfMs9dAjxyFFzxbjx0+nb4/P23Mf+kKwbxED1cLoWKb10DiYI1RTlJyOTc6nfAIcyiCxLpLHU58jrcg77BPIeApxhGUG5yjHrwiMP6vF875xf3MADGohg5Xq9bgd8z+Jh5HKlG66LomPXDf0TRrt3bm6sCaAhp/MFJXIMBttv3WMy96mNgh9MAAK88cjPmTWnEcpl1OuxAi2xVATRW5Aed2AnXZqDTeIsLzIJdGHbP905iVbY0SJFsM0BaF+wZtKoEc2xOIsH91gSX3/VFrPB27RLcTjKTG4CZWs8Cn8dFCUp3NAkkIsAXj+HiTZdg+/cvwc2PvY7bFq0GfCFg2xPQdO7L+Gp9FOfd9E+4KxpM1yW28gLXl8N2y9qQRnAj+TXp5EGB7A+YVB76tIq485yz0rTF2t34RRxqLBMuWRxfPOsRsLT2mFXTWdY1O16e+0jBuibfm1ORjOSRkTaJUpPcvmgq75xp3gqH3PAuTt1nOq7Y3Y+WxXcCfz0A6Fldkn9LQhxdkYTwsAY9urUH/6oyL/weNxornLVL5AZ75H6t31tIYcWJSGYVuptMZ5lJOUtRzO9xwevWxCwbgZynkFEwTYul0MbZbpnJGgcbixbFrPaRfp17mhdGrZFOnWQV/sGur75YCtVrX8Nzlx6Ca67X3LA7nYmm899Aw7Q5TOvWF3EIIuwVt9KzQn9uFbSbOuAQZg4osr6iFE5vZIGVGz3PH9iPlQhfVsH9PNO8PW4XAl6X6THqwRoDwZshZssfBB/AyeuL205FhQI92vvyHKLURbZUJpvP7/OVAwf+GdljHsHPX0zhvZVh3PzzQ4BPH5ZZp/9jxJIZpjZlFhADQn3Ij6oyLy0sd0bEpqQbZZJBz5052y2t2qEhnWRckCLZZgB9nkG5VaYIx2bHk//BsumxZJ4MWtfiYVxVVSFSoj/e4htAH50gIkZIG8tUTPnubzjvgGlYfulY4MnTMDv9GU7Z1oNdJtfgwGPPAC5cBvzgFmD0HMtqLQFtwdBugol0hpKmWkFCWq9lNpEqcO7X5KYutuZQEHwzcka/d24nWX49o4dpkfOpnKEVgYq5JW63ZBELeZxpxeuaXfsi7jRYPNhXOhTJOopFshKS3Je+bsPsP76MY+58Nx90WtOIu1/6Ghff+AjgrwLWfYAN18zDE9df5PjfkxDDHa8vx+w/voJL/vml47XIAz9x3DptlyB5Ij63CwHdQ7leHOYV96wEI/31xer2HGDY7/Vilt21zz2JkiOygbUoVu5zg5jYjD4H4iTnbts3caLHUxlarBRxVBkWxBzuoYqi0CgIsm7r6qdxRuROtPen8MjXWSSP+Buw/9WAN8C8brEbvUsrSNRrBQqh4yxxtIQ5f9CcdD7+1lCr/VnkfCq3cKYR8Galsl6jrC2nPMOEWNYVnZBt1nbqtMiWzar03q4XyZw4fwgS6QwOu+1tzP7Dy3j7u076c9e0A/HCordx8i4jcdUebuDps4EnTwPi/Y7+PQkxdPTHscs1i7Dz1YvwXUfY8XrdJDsv6CvobiBclRdmxRfRc9+u80w6ydghRbLNAET9NrM3E/BkAfCQXJYLircKDJu2hngqP52D21FkIr6JELJMIgosexF48gw8lzwJ6qdP4OkP1+LRzyNA7Xjcph6BCxv+ggffXosfXvIXwBfkOtZi8YmQUo9Lcewk6x5I0oezTo3k1gmSXCN3GqluiLrTgiahtvnWDr51ybmXzqr0YUYPUq3hcSaWM7QiDHVwv3W7JXtGSfG6ZmSfkFRxkltaJxmpzpEHtFKKZHe+sQLprIqPVvfgg5XdBX+mzDwcOOstZEbsiBMebcdRF/wZV504F0gOOP53JdiRzmRx26LcxLBHP1qLjdpkSlGQeywRLUi7RKeoSEbzHo3P+0xWtQzuNoKVi9rtUpjawI3Xsy5isYr4vG2HbIW23GfEGq9Q4FAzao8TzLbUD0bQi5vke3Yp7NMN9ahmyQ8TAB2M0tsNPHkGDlv1e5w5C7j26Cl479PF8G11CPeaRCQjxTXy/7qg2F6v/7tGMRCOgvtNeJ5IMTRfdBp8vfI4xglYnOO85ylrYYy53ZLXSRa3vvadOsmshAIRJ3F/PIW09ixRF/KhqsxLXY2izh+C15duwlfr+5HKqLjzjRUFfzZq+g6497VVKN/3t4DiBr58HL85ZBLe+dd9jv5NCX48/vE6dEYS6B5I4qH31jhej3TmkPtkvUNOatpu6TiTzJrjSyeZPaRIthnA7oQnsAvCL1iTkTSDsTLEWwVGwWY6+AZAqnaKUpjDwAJiWS2+sTATsmg3wu/cj6PmjEFrXQWiDxwFfPEPlKsxHDm7DqccMBuH/PohpM7+CNckjsBatclB8C6pAueOrTOskdGQTyggFzoymsrksnIS6Qy9GYo6yWoNqsC9TocBmE28EmzBKMzrsGqX4D9HrQgkT+sRS2WZZ12ejJL866zXFZmeB93nWyzq0ewgwQ2ZtPWSh0FyDnc6bLfsj6fwyZoe+vt3lncOflH1aKgn/htz5+2MkA84vPJL4K7dgTbnjiYJNizfNFAwqfe9Fc4mj5J7GCW4Ds8nszb+gNdF2zD4Sa61YMTSvqgHaxGLdUI2b7xCyKa9I5nOIpnJcq0Jm3uL6AAYsp9l1cJ7IG2JKfMK7c3kfCulGxtaoa1u6T9xySEzkfjk78jChRvSR2HiL19CsGWi0Jp5QSt3TTgtskFXECQiWTyVQTwl7szT78168aTXQc4ZLWIZFMXEnGT2RTHeDNYgI4dgv+bFgvvNi2zORLJi9wv5d7IqDNuq7UC6NMp9bvg9biiKgrqgs8IIwZvf5jnDByu7Bg88cbmBXS8CTnoe/1pTjT+93IE9jjwF6568HMgOLuRKDA0+XJUvgDrlD9A9r5F7WgPlEE7bLUtTYLbj+KKRKlsipEi2GYCVkPJkC/BUgvObnkU1TGCSlBVx1k+iVBjaFvWgldUou0i28rM38fadFwL3HwRcOxGhF8/Fh9+sRcdAFq9urAB2PB03jPoLrhp/D+Zc8hhm7nlkwYObSEYJdKRzUziXt9PpsK0BAAJeNxVPuiLJ0rjTgoPdaUPVbknaYqs51y3M6zCqBA+eQGeHPMm1n27JQnJp1ZZlhDtDUDBPRglB2IY8i26gZm2noqIbQQ/Nw8l9b/msJ2cb/LftkYKYkCUbjW34Hn8Af3zoNax4+2lMGTcS6FwG3L0nvnn0CqiS6A45Fm/sK/z9BmctK3knWe48IudTfzyNdIb/+zQTYxRFodcCTzs0WIJ3Oa9R1iIWa+g2b7yCnVtF/3MuDmEhFvZT5w/fPhLwuuH35O6phgN1REP2iwpicOh6AnIjQw8KP47VL96P178bwO1fleOi4JW4OXM46irKxNbU8RLiHO+KOItrgEELp1NnHjlPsiqo2AaHwxCsnJT99DpnX5dlvxfN4rMN7meMreCJgAAD3xEWyUycemVe67ZqO5CiiD5Pjw7McpBzBgBL2/KcIZ7KYlWXict89E7Y86o3cez8sfjlfB9GfnFDbgJmuN3Rvy/BBj1n+K4j4qjNNp3J0vs2uacZTS7mgdF0bAjkBRLYxSnlh+bJoVR2kCLZZgD9OFcr8GxOYu2W5heUSEiu1cMztZ8KhOznN8DCG1YBeUpEgKUvAAsvwsIzJ2L8trvitN/cAKx6E1AzUJpm4JaLfoT3n7kfB9y1GjjgWvTWbwcVLkqcCdmrKvMyjwQvRrOWsxRLZdAfT5ekYouClstEgTuNV3Ck62mbQUI3prvbYQuGabtEVDzM1+wa0I+FL67WsKxntkmlMllK0HmC+1lcX9zuD852CbPjDVo8eLKsW0zKRdcjoM5CImrQMFNnrRLLOyKAJh4DwNJ2a/GlYftDgDPfBibvj2UdMWx/wuX4wQ6jEG5b5eg4JKxBxEsiXHzT5ixTpLhVQn+f6Rc4R/UOo2KIBuTauj053Zms+zN3uyXjfm8nlJOf+zwueDn20ryoN5ibkJ85CdnXV/D7TByDvGv2RvOFJkd76EAn8MjR+En0Pvz1BwGcuc9E/PSBz/FaPOcec1JoK263LEXxjqzZU9TCWRsUc82Xe9009lV/XhF+JuYkM9/vRZyJVu2bBLyDiswGFhSD3kNs1uUO7rfNNBXkDyb3PLu2ajv0Goim+anyzjjEd5uKOITF3lTZNBoPv7Ecl//5dsBTBqxYhK4/74T/PHCNo2OQsEZXJIGOcAKKkssNTWdVLO8Qj8wg55Oi5M+pPCcVE53y7ZbGXRi8573dxFy7oXkSeUiRbDMAyTOxfVjmCMxkCfKl62qviaeyppX2vNuNvTXSiuiL5olAn/2hG7WOTArN4a8xd8l1uOrIGXjg2Gbg78cAH9yFedUd8LuBxrpqRHb5HXDup8DZ7+KgXz+EHQ/+MVweT+G62sa6iQpa4tXVMp+bijYd/XFd/pL4mgBQS+zkkSQ6tZYJYjEXQc6qnrtd5MN88+KbCMydZM7HwhdXbgeSGRAnPJ+TjKxnTHJ5HRCsofiJdAbJNJv4xpspQl5n3i7B135BYFa9EnXTEPRGi51kpakCL9cI7t7TmgAAG3rj9k6iYB1w7N/xWfOPkMoC4e52lP9tX2DlG46ORcIca7qiAIDdp+SmBK/vcZhJpgvdBQCv20VJY4/AQ5PV1OS804n9XM1mVVqIMK0E04dGtnVZ877Y2y05W8Rs7nvCk6yt3OiCU5JR4PoqXWskEclSmXxGXZdAUUxVVdx6xS/w4a9mA9++hLTiw/vjT0f5KY9DCTXQ89uJoEVEO3J8Tvd66K63rmL+IMhLXC6FdkLo95ZS5JwZ7VV50ZXDSebLt2+a5WlRcYjRTccqZNs5xgevV6pMU7H93uqeIromdEJYTTD/vRmJ4LzoHsh3aew5tREAsLY7avl3FJcLrh1OBk5/DWrDdJz86Hrs85Nf4qaz9gHSzgQ7CWOs0b6T5soAprZUAADW9Vh/T1YgIn91mZdOFib3NhH+AIvplmZDZOxgNwxEtluyQ4pkmwFYWxvIJpvMWI+GV1WVklKWdgn9JmtWERMJ7rcmuPwh6wTVZV74s1H4v3gUfzh5H6TuPQj4v9G4eeACTOl7G29/24PnliaA6jHA9iej+sePoLtjA177pguhvc4HascbrltDq0+5Y+uKOCej0E3ta+uP04ptg8M1G3XTVkiYJAmXFEEux6GwXcJpddnIVZXKZOkDhBDJNcnrIOeTx6XQ9kS2Y7QWjMi56/e44PPYr0veczKdRcpCkNF/JrYiGUfOmT5E3LQSzDCswAjkIaL4eB23Wxa1SxCxOprMOLLNr9PElu3H1sDrVpDRTcGyhKLg6F/fhQ9efBwPnTID7oE24IFDkH35CqQTYtONJMyxQQvq33FcHQBgfW9MKMCZgDrJdO03VUX3dh70m1SBIdh6pL/ubFuaWJ1kjCIUa7slb7wCHQZi027JMx0bNu2WIs5hArL3FLRbRp2JZGW6QlMP3UM5i2KZFK47cz+cc/lNOPZvaxGpmIhFu/4DD2X2QXs4ge5oEqqaa2GsdRCy31iZ29Pb+3P3w00lcJKZ8ocK8eM0El976ffEv671dEv+84msp1rkaYVtRKdisApGrAOFWHLT9LATyMl7jiYzyBZndFnAStQWnZgJvbNQdz5UO7jfE5BiTWOFHxMbQ7mf9TIWcBqnIn3SS2gZPwM+N7Cb+i5w7z5A13Lh45EwxobeHCdrrS7DyJpcCzrz92SA4rgGODyfkul8N0qxSCbKnW3jGqSTjBlSJNsMQAiuXXC/nmBa2bujyQzN4mERoXw6AcCscs07xlr/bxuJejzW9nQiji9fewrvPXA58NwFmP7cYfg8cDpef+RWXPbXV/Dpe68BqSh61RBGTJ2Fa35+NK564EXgF18AB90ATDsI5bUttv9OjelYdGeur+aqnEjW3p9AmzZCuLGSfVy7EUZU5zaDdb0xbNA2hBHVztak7z9aSPCdOsn0VZI+nZWZp2JbvObgsfD584mn5bTcJlOEJTdMj0LB2XyDIn9W5nXTapX5mva5aXRdhgdwXmcatJwGstEXfxZOq1a9RQ+nFX4PzSgRtbcDQLt2rbVUldFrcAMHedpmryMx4uJ3gO1OBKDi+muvwu4zW7Dmy3eFj0liMAjJ3W50NVxKruV7k4OhDd3EmagTEYqnDPPAKuuwQuDhjlzHLgWmgn7+muJzf9i6SgycOcbHyCmS2XwO1IXKmU1lJerlpxHy7yNG5wPJQBTOD9O3HGotl1yFpp7VwF8PwCnV72JSrQvnHrELgue8jvJR2wBaka29L7+e3b5hhRHV5XTNSCJNOU9rtXjOWTF/otESDhzuRg97TpxkIYu9VKTdssxrz8nz7ZZsx0uFPJsiFqswHrLhOMWwzTTVcxyOQpvVPcpJu2WPQfstEVCdiGSEPzRXBeh1wcMfvOUVuGPhZ1j8/D2YNa4e2PgZcOeuaH/1DuFjkhgMMg27pSqQfy5y4EbvKXKiQyfAipxP+uefYoFYVBy2j2uQTjJW8JfYJP7riDIG93vcLpR53YilMhhIpE0rieQCcimFm7gVKvwedKWTtk4ykcmB0G4C/lD+WGhwfxFxGOjZhCXvvoixgQjqE6uADZ/g8Rffx48e78dOI9x479Qg/MjJvwdMDyFT1gjf7schtecx2PamFVCrXfjssn2oG4UHxN3VEc5tjp0ldpK198fpzZtUPEQxgm7acQQ0gbO1ytmaNHg3kkQmq9LJV6KuN2J/1wcZk02mwu8RIvlmeR3UmcjpKrATjHgnU3ndOcE5mc4ikkibnoc8rUI8ohZ5jdetUFdDMXhy0/Lr5l87qN3SQdUqlswgobWdElLi0gZQ9ERT6I2lhAXldu06bqr0Y0R1GdZ2x7C+N4bteRbxBYFD/oJw0xxcfe2J6Iwm8OLlB6Lu8D+hf+x++PG8scI5gJsr3lvRhX9+vA5n7zER4+qDjtZKpDP0YXpMXRBNlQFs7MvdJxsrxL73fCbZ4IyaHhEnGRFPjBwQApVg/cOi2bnDkhOqB2t7JOuEbN54BTtHLvk5b94XjWwwyKAUmUZIYOQMKMUkyoYKPzb2xdHRn0CkPk3vbVaFpkwmg9fu/xP26rgHSPShproKX71yN3zbHgMAaKrMVTxz/CHXRuSUPzRW+OF1K0hlVHyqTQAO+T1CrjyCwU4y5/wpJ2YOFImZhdOQeRC0EIlFBv/kWkLdGEjmOHmDgZufe7ol434fZnSScQf326wb8LrgUnIDFQYSGebPi8ZAGIlkDiZk91oG94u3OBL+0FgRwIgacfFl/D6nADvuBzx5OlZ//ga2PfAsHDr/RrScdCfOPnBHyuW3FMSSGfz5paUYW1eOE+aOdbweKbKNqC6jYqaTdstuOkhKX2Qb3J7PCjoQxOCZR3xSrE23iO4eoqrqFsdReSBFss0A5AKxyxOBdvLHUhnLB1L9ZEvWiyPo96BrIGlKynk3egBw6whEJJEuyOUI93ahteMdVH7cDTS2Ah1LgI7F2P/6r/DmmgweOqwMx22duzFt35RByKeguqYG6pzToLZuh93+HsbafRrwwa/3RmNFIDc9ErmAbRGHEgA0aW6TDq0FoasEWV/Qhfe39cWxvkQkl2za63uiKNPOGydVYBRNp+qNJmnGV41gW0cNzY4bnPsiImLCIl8jvxHxffckUyRqkkmWz85jXzfk96DbQnCGXnRmyjljrwTrQ3fNrn1e0gydw9RvELzN+0CvByGxHu1eQVBd7suJZIKVYFVVaStRU2WACsgb+8TaJSt2Og7vvzUKD172Y5w6swvKt5fgoSUv4/26mzFn6kihNTdHJNNZnPPIJ+iMJLF8UwRPnj3f0Xpt2vfh97hQU+5FoyaSbWJpizVBDx0Mon9oEneSWe19VpECZmARtLjbLRkzSHkzyXjbLc3EN97w8uLjLf58E+ksUhlVaE0UTCsrrUiWE3b70NYfp3EN5T63aZdAItyD/edvjUVfrsMLx5Vj393mAEfeC19N/uGRFNnC8TSWtedyFkfWlAsfIzRxp6WqDGu6o/hgZTcAoLU64Ohhiuz3g5xkJcg56y5RdhxLuyWv6Fru9+REMjM3Oue6QYaJ29Dfl0oc3G+XaaooCoJ+D8LxNJeTzMqhFmLMcjWC0SCHaoN2al609xEnmZ/yB9IJwo2qEcCPn8GLFx2FnvhT+Pqbb3Hx4tNwR/h3+MOZxwkf4+aI+95eiXvfWgkAmNpSiR3G1jpaj7j7WqoCNIamFPyhRu9MdJCTa7X3iRaY7eILyLrprIpEOosAo1lmS4QUyTYDRDlCbSsCHnRGEpabiV0osBHsLla7iTeDkEkB4TbM8S1H93fv4PafX49DZlRiXlMM6F6BvVdswHl/HcDSMgV/DIYoOZvZ6MLSbmCgaiKw0wFA67aY2DILfTdMoAH7CoDwv14CtIfoxooAJU4VATGHEvRkNJHGQCKNTdrUSCeZGtAJYt+09dPqqlOSW+Ak01p2nIpkNOcsHKfhuzXlXq5pZHoQcTGcSCORzsDvcTuqAoOx3ZIHdoJRWEAcDvrd6B6wJnxc02cZW6RYj5d1epYelkJB0eAPnkmwZPhGdXnhZNZ8ZpBYJbgvlqKDERor/TSvr3tAvLI8fttdcfm/luFf15+NQwcew9HKKzjhuK3xuxsfxPRdDhJed3PCJ2t66D3skzW96AjHhR1f0IlkLVW5B/QG7YG6U7DdUlVVw4e84rxJHli1CZk5nawwwJD3xdNuyZNByvrAzBu0b9c2whoybna8xcHGep7CGoiux1AE90N7oAYd0mPTatm+GP4nTsZUfzs+8AL94w4ATn4EcBeFO/s9qCrzoi+WwtvfdQIlKLJBE8XWdEfxPhXJHPIHLeesO5pEMp2lcRVO8lfrdO52gnwG1VBNt+RbN+T3YFM4UbIuDFYnGat7lGaIMTrHWa7VEBHJeO57DBxCRCQj13C1YYaUAycZKbJVBGjkSm80xc1xKFxunH7dk0g2X4Ht196Nqd52/GbjuYi90Y2yXc4BHAjUmxNeWtxOf/3iV22ORbI22hZbRgX5zoj4924kPhdPLuYpJljxB+KsTqSzSKazTLnHYNifg7o9MZJIS5HMAv+VTLLbbrsN48aNQyAQwOzZs/Hmm29avv7111/H7NmzEQgEMH78eNxxx5bdox2hk6kYHpgZNtCIjcpsva7VRq+i0hUHelbh2zefwnN3/R5L/nkN8OZ1wHMXYMNth2KHsZWY3OAD/tAA3DgT96Z/hfpvHsfVD7+Kl198HljzLhBpx/gaF2rLXBjfGEJk2o+A/a4Gfvxv3PjiSrSH0zj9r18A+/8fsM0xUBqnUIGMoLhSVAqCG/J7aBWvvT9OMwmchuxPasqFfn64qoceo5PjBIBRtflMkVXadLgJDc5an1qq8sIbcdw4eQDWC5al+p7MXFUirRLQbSZmBFLEARFkELV4xDee6VQ8LhUhgmvwObAM/jBDr4lo6nTCJSFONeVe+D1u+rAlKr4QZBQPLu47HMcnL8Wv31Dw2Cc9WHDQD5B49x7AQdj85oKv1vcV/P7r9f2O1iMPOMRlTASFzrAYyY2l8lNu9ecl3S8E2m+iFqKWyHRLFtdX/pq3X5cng5S13ZI3Q4y2W9q4aXgH9Zhlq+hFe5dAUYycD/rMw/4ScIimivyQHnIPKm7BSyWTiL15O3D3HsCmJbj+8NH49PkHcdQfHh8kkEFz7kzSgsM/WJUTtMj+7wSjtTWIk2x8fcjRenVBH3weF1Q1x58Ih2iodNBuaeEkE8mOy/OHwaHz/YLtu+U+63O/n3NIFWuGGOs1FfTbT+DkXVfEjW7lqLMb/GEF2p2gOx9oJpmD6Zb5uIYAqst9NCfVSaENAGJbH4Mzy/+MlzKz4VfSePCai3HiruMQblvlaN3NAelMFt9szHOGL4r4hAh66LRfX54/OOB5Rhya8NFURjXtOjED5Q8GnWKFOeOlyfeDrg0cgi3MWxKG3En26KOP4he/+AVuu+02zJ8/H3feeSf2339/LF68GKNHjx70+pUrV+KAAw7Aaaedhoceeghvv/02zj77bDQ0NOCII44Y6sP9XiLKNYky9xorkqu/yDPJBOIDfXBnUwh4AKTjSEbD+OLLr5CMRTBvq3FAIowDU18isPJDPPu7XpTPGYs9ptYAiTDa2zuw/7VvITaQwDc/rUTgztza1z8bwx0fp3DZrj5csUeOGFYkVHy0OqwdXxYVZV50oAajx6g4OujCrAXzgYMPAmrH47L/hFFxbgTnHDIDFfPyrQWsnq3qch/QFaWVonwOjTPXV1NVACs2DaC9P0EnpIxwWLWd2FhR8PtpLRWmr2VFbdCH1qoANvTlxQCjPAwekEry+t4Ynezj5L27XApqyr3ojORGaTdVBqhYJhqObFZlFZlMBZPpWXrQsfACrkxLIZtDfLPL+zFct8QE1yr/xOdxwe9xIZHOIpxIUWs6C8j5UFMskhk8xPJA32oJnQjT5aDCCC3rIpnO4i1shaqtrsIO636NS7dPwP/iBcC6t4CDbwICVUJrr+mKIqOqjnO+9OiKJLC6O4ptR1WXJJdi8YZCUWzxxn7sMbVReL3i/A+nJFd/TpfrqqdV5XknAP+a5qKWSEBufn823+95pl7xZJAOdbul2brkgZ9XgDAbjOAkjwwm7ZbdNLDZgUimG9JD91CdQ2vVN5/j2EP2xtRgH/76gzJg4t4IHHoHJoUaLNed1FSBj1b30N9Pa6kUPkaCmSOq8NhH6+jvpzQ7E8kURcGI6jKs7BzAht4Y5U8jHTjUaosiG1RVpd+ZWHB//nyJpjL099msKpS7Cxvnl6qqzG2RxevZFcXCjOvS96hN4LQrxrNcq/n3zC4YWAb3O5hu2WNw3ZZiuiXhEI2VuSEZtUEfOiNJdEaSjgZvLe8YQC8qcHrqfBw18AzuePluRJKrMf+cOTjjz08AY3cWWjeZzuLTNT2YPaZGzOlmAFVV8cmaHkxoCAlHpOixfNMAzWkEgCUb+x1nZtFplEEfdfxFkxlEk2km40kxjM7TMq8bPrcLyUwWvbEUlyPa6rzX54xHEmnmaBumYnjAQ6OOJMwx5CLZ9ddfj1NOOQWnnnoqAODGG2/Eiy++iNtvvx1XXXXVoNffcccdGD16NG688UYAwLRp0/DRRx/hz3/+s6FIlkgkkEjkCXN/v7PK9fcRB224Gb1vvoA7Hx1AwwFj8YNZ9YCaxfKOARx11xLUlHvwn5/PANQsrusZwO/eWI+L/jqA3gXNOHGHGkBVsaY7jl3/sgJBn4JPzm3BV/4YAp0pnLJjBA98nsLVe/tx8XxSpc9ih+sj8LqAxG8qoCgKfgzggxUx3PZRCg3dH2OPWG4TCCZVfLp2AACQSacAnwJ4Apg0ogzbbRpAw5jxwDbzgMoWVFS24t+j16Fl3CSUzdkDqGzGBX/9EG9GO3H9b7fBD7bLZ/e0p94HEOGuLBMUb4L5/DCHIllFTiRb2TlAb75OWyOryrwYWVNGQz9ntIo9RBdjq5FVVCSb0Vrl+CF4hG6Cz/reaMHPRFFTniMWPXRiqFb1EfyezKZTiT405ceZm7QJiTjJGB5wWVslYEPCBx0vA3F2EtxvNfEqkU5yb8hGrRLQiag8Dh09OrVMCiIc1zls4yNYvimXCTS5KYTlrrHoO/IB7L3PMuCdq4Cvn8LnH7yF+C6/xk6HnMS17truKBbc+DpSGRV/O2VHzJtQ7+g4ASCeyuCQW97G+t4Y/nDoTJwwZ4zjNZd35vaCrUdW4Yt1fVip/V4U5PsnIfv1Dr8nep763AUOI3JfEBkuYVUJFskU0WeGmiHE+KBcvJ7dHsDqUuG5P4GheMcaMj74eMl9wLgo4pQ/6Nstu3gmUZqgSZc/uqG4yLbmPaz+y7H44LtOLPEr+MPvLsDIQ34DuOwfaGe05kUxt0vB1GbnhbaZIwp5SCl4SUtVACs7B7C0PUy/IyeFtryTLLcPRBJp2kYvknVWGDqfLrgeiMmKd7gEzTU1uFb1Lk/WvFSWOAR9W7ndNVDmddP3HEnYCwcs0So8hTu6rmW7pfNMMn0GJeEPTlw0ZA+iHCLoR2ckSZ81RLGiM8chpjZX4vG2H+D0S8eg/6UbcdqMKPDAwcCuFwO7XgS4+e5tlzz5BZ78ZD32ntaIe368g6NjJLjnzZX408IlGF8fxAu/2JW5HdAMKzT+NKO1Eos39iMcT6NrICl8z01lsvQ+U1vuQ8jvoQXbznASo+v49wejApGiKKgI5HK7c5yU/Z5GnGdm110oYJ8zPvgY7d3oIb8H7bCOZpIY4nbLZDKJjz/+GAsWLCj4+YIFC/DOO+8Y/p1333130Ov33XdffPTRR0ilBj8QXXXVVaiqqqL/jRo1qsTv4n+P5vhK9HV14qNVYbSv+RZY/zGw4VPENyzBp2sH8MXafqD9K6BjMUakViMa7seyjgS6N7UB3SuAnpXI9q3H6p4Ulncm4U/2IKTE4UEG5Fk5ngbg8gK+CpRV1GFUtQfj6v1INW4DjN0FX1fugsDomTh6t2nYce/DgT1/C+x/LYJH3YFH//I77PLjC3CAeiPwqw3Ar9tw/tNt+Hh1GOc8+Dlw2O3AXpcBO5yKg866HLP3Ow6e6lbA5TJ9OBGt2hEUt8+QHvQ6h62RpAXhneW57I8KLQ/EKfae1kR/vccUceeFHjtPylefd59iXYlmQWu1NrggnMCqztIMGChul8iH+Yp9T2YClGieiF1FVORhjMVJJtZuye4qYXGS8RFca0edaCU4PzlwcA4PdAMZeFEsvtUHS+MkW7EpJwpNaqrIDeRQ3Fg26WTg5BcRKRuJo/+6EjsfdjKeuvIkIJu1XY/g6c/WI57KIpNV8eiHax0dI8Gibzqom+OR99eUZE3y4L+jliOy3sGodei+j1rt+yHZceIimfEDXiXdh/hFVytXlUiWDs81GmE4XtbQfnBcp7yRDUQAKNWUYLquyfcmmkFJQEQy4lRNZ7J08qmTQtsobb9c0x2lRbFR1T7gjWuBvx6A3Rq6ce8PR+GzRc9g5KGXMQlkALCnzq05d3xdSTJmZrRW0uuiLujD9BK404gbnbRw1pR7hdwcBEQ8J5O2OxmGIViBhM6j6Jolv/a4zKdCm8FqfyY/c7sUmh1rBxb+oG8rt7umFEXRRUDYi+5MuaY+gXZLC85vJobbIZNV6d/R83Ry7MlMFvEUX3sciGOxaGomEWWdcIhsVqXcejeNs/eP3xd3L1oJ17bHA2oWmUVX4fLDp6J71ZfM60YSaTz16XoAwCtLOug+7RQPvb8aALCicwDvrehyvB7hI+PqgzQD2QmHIMV3l5L7/hVFoYLbJoeFtmKnt2ihzc45Tjg1KzdhzSDlHf6zpWJInWSdnZ3IZDJoamoq+HlTUxPa2toM/05bW5vh69PpNDo7O9HS0lLwZ5deeinOP/98+vv+/v5hJ5T59v4VDi17C0dkk9hl1hRgZAugKBgTTeD52V/D7/cBc7cFFBfue3sVeud+hd8dFcSRC7YFWpsBKGhJpvHeXt/C4/HiCbURN7+5FnvOGIXrnp+K6zx+BIJVgC9386gBsObywmN4euES/LNjBU47eRwOOnA6/bkCYFZrGGvWvYGaMi/g42sFotkAUWOSKzKZCjrxhQTME9eXk0lKADChMff+Fn3TAZSg1ZLgjN3GY8nGfsxorcK8CXUlWfOo2SPx9redyKoqjt1xcGszL2qDPmr9ffPbTUAJXHS1JhOvRCtHZgSSd4IUAakCJzPGwZm8rRIoyCixmG7J1W7J5v4oWJcluD/JPh7a7noVH2Vt7AAUCUTXozinhBLcgYQjez/J2RlZXYZN4VxL9rqeGGbP2h7Zk17ANv/aFdHFq7Fr7xPAQz3AYXcCFU22676rI6Af69qqnOCztb3010s29qMvlnIk+CfSGTo1aodxtbjnrZWU9IpisJOMiGRiDyJmYgw5n0ScZAMW+Vwi4jBLKyNPGyePoEWdbyVyqdB1A8SRm0Emqw4anhPhzGUiMMsmJA8UIcFJ1rSNL5pEJqvSIo5LEZ+8DC0rzOtWEEtl8N6KLlR2L8b9p/4E++wfR0PQBWx1NH5yyXVAgE+Qaq0uw4ULJuP1ZZvwqwOmCR+fHn6PG1cevhXueH05frHXZKFst2IQ5/kby0rEHzTxnAx4ccofYBI6rxddefeGIMk1Ndif9UU2nknzsLn2yZ8pSp5v2K1JBlJZIakFiMPG+caba6qqqqVDjdw/eAp3KOJEeg6hv8+IBJdHkxk6PZfcg+pKkHfVOZBAMpOFSwG2H1OLO7EiJxL5Q8ChtwHjd8dVF5yKK15Zjsfem40vX/0n3DMOtl33k9U9BZGon6zpcTyIo3sgidVa3jEAvL+yC7tOdlaM39Cb408jqsuwobqMxtpsM6pa7Bh1Qia5f9VX+LG+N+Y4siHoM+MQfIU2wh/K7QrMjOd+LJV3pxYfo+i6f317JTJZFT+YNcJxbM/mhiFvt4RWqdDD7iHE6PVGPwcAv98Pv394f2lTdlyAKTsuGPTzEID9Zh1S8LOOpd9gcW0D5mw7DiPn5MUsP4CdJs4HALzx8jKsUZNIh5oRbGATFIO0MjT4wd6JoJUnuYUPPU4D3ElbQ4eWG0BbJYLOzpUJDblcDiJwTClBWwO0UPxHz5hbkrUIAl437jhhdsnWUxQFU1sq8OmaXurgcZpTUhsqFMk2kXZLQTEzaBKKn59uync+6avR0WQaPk/hcUUEHGosTi2Rdkue1iuWKjBrRgkY2y0hIpKZiJshB84fGGSdkazCVEZFfzwtfN8hYdxNlQGMrC7DB7rqaGXjKDz69nK0vXwL6j68ElixCLhjPlbM/h3G73mC5brL2iP01+t6YuiL8mW7GeHLolDcb9vD2N7BJCkyiTLgdWErrVVrQ2/MUBRhBc0T0YQJ8j2JTiUzE6BEq8CZrIpYipz7gx+0KgXEXDqoh6EKzOL84LmXUIeFxTSteCpLXSpmxL4YBQHEyfQgZyitznNyiOqyfMYMmZCMEvCHupCftqB1RRK02FYb9AmfywDgdbswpi6I7zoi2DH1Ab547o94eUMK53kCeOj+e4FtjhWeYnfOnpNwzp6ThI/NCAdt3YqDtm4t2XokK43wh8lNzvjToCJbmIhk4kKmkXu8vwTDAIz2Z5GOCb0AZfYsRYthDC3WYMheJdBzFivRndeNnkhnkdZuKkb3KZ4MRj3I5+B1FzoA3S4FIb8HkUQa4XiaW1QlorzP46I5j3VFhXkRkOeV+pAfY+pyAnJBoWnro3HApX48+MWxuHSeCvfjxwOrzwD2+T3gNc9BW9YeLvj91xv6HV/XxfxhaVvY9LWsIA631uoyjKgpxydreh05yfR5ZAS1RS5hXpjtp8JOMptJlLy5pqwCOQ8nv3XRd+iMJDF/Yv0WJ5INabtlfX093G73INdYR0fHILcYQXNzs+HrPR4P6upK47AZzqhgqLjwhu7CRnXO3zT4CUSNQYCmqqr0BiZatW3SJiaRCZRdJXKSFZO6UgTkbk7QZ5/4PS6MrXMWIl4cvEtJruCN2KzKSkhNcQC8HXweF3xayKmR84uS3FIH93OJZBzB/QzOt3Kfmz6nsW/MNu2WgtZus3bWSkFCQkAcSiSwPeB1U7IrSp4AoEMnkrXqMvwIFJcLLfueC5z+GtA4A69+tRGT9z4RvzxmHrIp48pmbzRJHVrkof+7Tc4JKRHeyAPl0nZna67XEdymygDcLgXprEqPXQR5J1nuGMn774ulBk2fY4GZq0q0Cqx3h1hPtxRot7QQp/X3ObvPgZBwFrG7cBKtdWskioYfWMHvcdP7qNE9gKe9XI+KgIdOldNft0YT7Xjgdin0YaC9P0FbqOocFtkAYEaDH5d5HsRf/dfh/kN82G96Da556BVg1o+EBbLNBXr+gBIMKSJh7LFUBrFkpiROMiOBp8cBHyX3GmMnGb+DkhxfVs0J1kYQHQZgxyHIugGvyzL8vZyKbmytjPp7StDgPiUyTAg2Tj0n7WaEr1ZrLXwo0TAAUmjS84e+WKrge9luzx/gi+VtOOFMrYPqgzux/Kr52PjV26brfqvt9eQYv9UV3UTxrcYXyLXmlD8AwIY+nUimGxQmCuIwrdVdt/mhLENTaOONACHrmQlavBxC72y3Esj5YlpIi+l/xVf1vcKQimQ+nw+zZ8/Gyy+/XPDzl19+GfPmzTP8O3Pnzh30+pdeegnbb789vF7n2U/DHXSsq5VIlrQn4cWglRyDhwgRoYCgumywMyCWyiCZyWp/LugkqyBTpHKbTid1KDkjuaNqy2kuGQDsOE7cebE5YrvRNfTX2491PiWHiJYd4VybGw1DddxuWUjOzALgWWAlQok83LE4v3jW5WltYBHfeDNKUCA+lMYyTkA+h2KnnqgzjaDPQDQlAky/oDsNBU4yP33INswoaZwKnPYfvJbcChkV6Pr2I7ju3x/oXjnopWQYQGtVgAZyr3OY9RVP5R8o50/MDQFY2+1sTULwW6pyAhmprDtpPymuBJPvKKsCEYb24mKYkT1aXNLaAXnXc5tkFenPe1ZRL5K0vpZQ5DyxD9lnzyTzul00G8ns2qIPCUXDD+xgdQ8gIjuvk8zlUug5oW+57KWihoNJlJV5DkEH/zgssn35xnPY+c2f4GTPCwCAjslH4fnPN6J15nxH624uGFlTVuBEmDPeWeGbBHEDwKZwIu9Ed+B2COniBggIPxXho5aZZAIxEHph2nzqNh8vCTJmiOXXtf4cQiaOfjPY3VNEig0oiGsYfLxmeYYsoCJ8iflDezgvkoX8Hlq4K+YQgVAlsO+fgB89jri3Bkfc9hm2mbMr3n3gChT0VWogwwD21PKOncYgQMdBdp6Yu4Y39sa59k4jbNRxCMqfHDjzjCYS6wttIjDjuuLtltbXKp0MzXst2cQrVDCKxHq3PEvr9nDDkIpkAHD++efjnnvuwX333YclS5bgvPPOw5o1a3DmmWcCWqbYiSeeSF9/5plnYvXq1Tj//POxZMkS3Hfffbj33ntx4YUXDvWhDguQDA6rTJGITQ+0EawCzHnyk4qRnyI1mOB63YrwRdlY1G65Sdt8nIpkAHDy/LEAgNljajBrpFiv/OaKfWc0o7UqAJcC/GTeOMfrtVRpbpu+OCKJNB3/LPo9VZblzsHiDbDPwUNTuQWBpFk6XO0S9s4vHren1fENPl428szjToPunmK+0QuSXJN7i5MMKRSIpqUjT6qq0rHwTZUBXX6WiUjkLcPv//4enr3tt7jp0MbcQJY7d0Xm88cKXtbWl/v7rdVlNMPHqUhG3G3lPjd1dzgN8+0qKkSUIqOFZkkG844/8lAs4vizqwKDN2SfurTchlVb/fXAkhkIBtIMzcXr0R4m7YRsu2Bgs2O2ewDncaLDpqWLigUChbaaIjcydIKZk/ywRlJoC8cL2qBE8f7f/oAd9zoIpz24FJ/3lOH09EUIHHwt4Nly2lcURcHJ83O8YadxtYOcZSLrtVTlvqcNfbGSOMlIK3CfgejK60SHrnBdqiKby6VYrgnGCZQFx8jYvh1hvJdQYZDxnmcX2ZJvOeO751sNVqKRDQKFNqOiKxXJBPkDALT35YtsAFBfkVvfNGR+8gJ0Hv5PwBcCVBVjv/gz8OTpQKLQ1UXEJ1LUX9cTNVyOB4QvbDu6Bh7NNd6hPWeJIJtV6X5fH/LnJ1k7cKJ3Fw3+ge57EnH85ULxrQtt/O2W1tMt6bnPuC7r/sxauI7pBlvw7vnDAUP+jo855hh0dXXh97//PTZu3IiZM2di4cKFGDMmN25+48aNWLMmP1lr3LhxWLhwIc477zzceuutaG1txc0334wjjjhiqA91WIDFVcJLmmGzoYQFSTN0m4wRIakq8wkHaDdrxCmcSKN7IEmdZCMchlUCwE/mj8POkxowsqasJGG2mxOCfg+e/8Wu6I+lMKrWWegudN/Hxt4Y3ciryrwoExRHieMklsognsog4HXnJhFR5xD/Q1NlmRfre2OGm5/IVDZKSC0IJE+FmfzbuXHy1nmPrG0YuWNkHw9tJxaKBu+GTdo4RUU3AqOx8E5Fsr5YioYaN1b6maddHXjW74HeU4F/ngasfQ9nn3w8snVX4KbHXkN5dUPenVYVoNNknYpkpJI8oroMI6pz17FTkay7qDWy3uG0r3gqQ8ej6zNFqsu9aO9PoC+WAu+IHjMC6fe44fO4kExnEY6zDzCwE7T8Hhe8bgWpjIpIIs2UXcgikJMpfH2xlPbgaJ5HwytqhfwedEaStk4y3taLXEU8Zkj2RYU3mBbaxJ0/BPnIhgR98BUKu06EgecuwHbL/oFtm92orqlF6PSFuHzENMfh2ZsjztxtPPae1ojRdeXC/E6P1uoyrOqKYmNfDBu1exgRzkRA7jWkVQsOnegkx8yQP1BxiH/q9kAyYytkszrUWAp34OAPvMH9tk507efxVBbpTJa5g8HqeJ0U2qhTtax0RTZo9xroXKx1QT/WdsdoprIRRk6bjfe+2YBvH/0tWtbcD3z5GLD+IwwccCuCE+dBVVUq8s8ek+sECcfTjgf1EA4xqrYMzVUBrOuJYX1PjBa+eRGOp6kTrSbopUI3cfGKoHjwD/QimcD3lEhn6TGWKrLBzvnF2zXBuj+ztltGtT93KeCe7Dsc8F95x2effTZWrVqFRCKBjz/+GLvuuiv9s/vvvx+vvfZawet32203fPLJJ0gkEli5ciV1nUnYg6XPXoSQWm2ioqQZuspcT1RfBU4W/JkIQn4PrbZ9tjY3DS7oc1OnkVNMbAyVZMz65oiqMm9JBDIAaKnOkYFNkQRWbBoAtJYMUVT4PdRhQc6pcCK/+Yo4yUj+lVGFMCzQLsEznYonkyyTVakTz25d2yoTFd74chBMnWQCI+Fh6SQTb5WAzoWkv8dUOiS5pC2gIuCB3+PmGzVePRr4yXP4evSJuPuTFO59eTE+unxXoP1r2jLeVBGg03SdtkuQMNwRNWVo1a5Bp2vSqm05EcmcOcnI9eZSCkVSJ5Vgq71KJOeOTqYyEfUVReHOvokkzAcB6MEqFItOojQ73gGGdlDj4zV2kiXS+UlxYm50UmjLcwijdihe5If/xHWiMp/4suzNp6DesQvwxaPwejx47vbf4tlP1mPCjO22SIEM2jUxqamCDllwCupG743T4oETDqGfbErQ6+B8Is40ozY8kSIbGEQo3muepXAHLie6WLulmZO0MCuRLQICuntjpaFIZh4hY4c+g6JrKUSyroFCNzZ1U9kUmgLlQWx10vXASQuBypF474tlGLPNznj8j6egR5uYCQBj6oK0iOW0KKbPIC1FfhgRw3It1G7Hk6xhMsCFXMMijj+r7LwKxv24GMRJVrweQYiTl5hN3ywGa7ul/vhKUdTY3LDlyYLDHCwWSqHgfou+aJEJPQR6JxkRMkqRJwLNeQEAH67KiWSt1WVb5EX+fUZd0AefxwVVBT5e3Q04dPspikLPKWLd7tUqwgGvS0jYNKs4ZrIqdbrwTLfkCe5nuUaDus2QNVPErq0paDHN1gh2bSOiwbtm9xby4JHQjaRnRSqTpcerdwaYteqyoqdoEiMhuOF4Gok0w+fo9mDGyX/BK3+7HtceVI9dqzcAd+2BiasfBaCiuSqfc+akBQFaezO0B0zykNneHxcKwyegTjLtfTud9qUne/r7NsmxFPmeqMBjQCBFnAUsD6MVDBEIvGuiYEiPTbslp6gVtBG0WUW8YphVxPUkPciRk0pgFdnghEM0V5I2vniBqMyEbBY3/fxwzNj9cNz+0lKgciRw0kLUHPQ7uDwyW7eUICL/ht6YTiQTL+IRJ1m3vn03Wnhv54FVG5Yod7YTtXi7O1idX6yiXlAwuN/sePUDlHiyKK1EPVFRA/rg/hIW2VBwnuXWIoNCrJxkBRg9BzjzTdy8pAFdURVP/ONBeB89FrXop1y7oQQxCLFkht5jW6vLaOcOySUVQfGQHuLE74kmkc7wcTwCo/OqFEW2coPsPOF2S5tzn7fVmDWDlHZ32Gaaau+Zc78fLpAi2TADizVTxPllVV226vu3A7lhqWreFWLUCiWCcdrkxTeWbQJEWyUkhhSKoqBV22DfX5kTyZwQXOis1aRdIu9MFDufiHhSXAkuqCpxbCB2+R+qqtK1jSqgxXC58tl9diSXXvtM7ZY87RI27Zac6xH0m9xb9J83r/CmJ7H6z9dpJbinyJ1WGfBSV2M3h1C05/Hn4YJ/LAEmLQAyCey96nrMePlMVCXbS0JwoSPdDRV+SkqzqlgLAgF5j9RJ5lDQo+7EYoHUwfdkJfCIuBNZJkcGOR/GooyiVl54tj7eCEdwPxhGzkcF+AN0LWXFHCIvhrrhFogvyA//Gdwe54RDjK3P8YflHZEC14Qtwu3AQ4cDSxcinQXe6W+BeuabuQdYiZKDfCdfre+j+TmtnI4/PSh/0DvJHIiulRZZVeRew5vFZydC8Q4EYBkmBI5nB14nOsszBG9OKvTFOysnmUAmGdknq4yC+wUnL8OgrZdkknHt9+W1eGDRMvzfTw/HXT+oQsXaV/G8/xLsXbZMfM0ikL/r97hQ4fdQ1xcPzykGiWUgInVNuQ8uJfds2B0VW9fofCXXsBh/MN+bhSdkM7Zbsk+3JO/ZJjfQx+dE3xLzyCBFsuEHvUimGkw5AUPItuG62gWVzGQHuSJELePQKkTk75GHTCJqOHWSTWwMAQC+3tAPAJjQEHK0nsTQgHxPX6zrAwCMrXcmkhExjGysPdHBlmse0HaJmLFI5vO4uFpHzNqOCGKp/IQ93hHudoSPbIhBG8cGa0YJgV27JWswsB6JdIa6xCqKpml53C4qDPKSElKtrQx4CrJNnItkhQTX5VJoNbQzzEnygvXAjx4D9r0Spz+bwMJP1uPus/dBS9/ngObOcuL6IoSUVJfJe2euWBuAVNdpJZhMt3TqJCs6p8i+IDLC3eohT6QSzFK1reAWnPkeRNkfbDmD+00+B/EWMeN7il1otx2IKE2u63QmS9d0wiHIvrS+N4a+WAouBRirFd7MkPx6IXDHfGDFIpw7vwrP3vgL/O3176CUb1lTsP+bIN/T5xp/GFFd5qiVs9iJDh2HEMoko+2Wgzm56LlPRSiTewqNgeAO7mfjD6UusrEU70Tc6FSENHD6k+6YfgEnWX6Qw+B2S9HJy9AX2oKFTjLePdTr8+GXt/wTVT97DX3BcWhSeuF55gLce+FhaCjPcR5uTqKDfqCOouh4joPWSMKfCG9wuxTKJUSPNT811chJJsIfzHmuqJOMNY+vVPl+dF1GkThq0w463CFFsmEGcuJnsiriKWOLKnV9cIWN50lH8YOuk0wyGNy0+gxCMUVQLIpNbalwtJ7E0GB6S6Xl73lRS4N3tXZLB60SsAjeFZ3IpieQRkI2WdelgI4At0OIQYRKZbI0s8yuwsxLSO2ySqwm25lB/16MyLNoeH+vyQOPU5GsuFUCepeLgKADRQHm/hTdc36ByQ0+XLuHgtrHD8U57qegZjMlcX0RclsKkttVJJKR663PYRW4mOw5+Z4sK8F+/kpw3vVlfp3aZXzpkc5k6b7NTHJtjpc3g9Tu2nf6YF+8rtNKNRVNteta/9DrhEPUBn30XAaAcfVB03b9xEA/zj98J+xz4CFIhzuAxhlQzngdB/78BiguSbOHElObC3ndNKf8wWBaap/BvZ0VxImuj2cgEBWc7SZaswbsE/AG97NmmjLzB4bPQcSNbtlu6cRJZjAYJODNDX+BYN5VNqsO4qrU9STQGggAaJ6Jh7Z+EL9ftTWufDOBU6/7F/Z6/3S0otORk4zkh9XR7DTnIftdA4N5utFgNx4YXQfEXazPKmaFVci+iEimqqqtCEV5bqnjGjS+Y9t9opvgvSVC7t7DDOVeN0h8i9HNX0/CeTZmj9tFH9gHtUtwjpsuBqmaEJJLHuD0E81EsO3o6oLfbzWiytF6EkOD6a3578XtUjDVIcml06mIk4yeT6JOMuN2y7DNREczkOskbRK0r8/3Ys3QY2lF0P8ZK8llIaSJdIYGw9q2WwrkiZSbtGGJVu7MWmecjnDPV4FLF+YbT2WwomFXuE/6G2bs/UMoagYXeh/HhRsuwdIvPhBaEzoym59E6YzkpjNZ+h7JmlXU8SX23sm5UuyAIg8mIg8OTE4ynocwhodGHsF5QPcQbRvczzgMg1eEsqswi4paxLlR/Pk6caJD9yBF7veEP1T4PcxT8Mwwa1SeQ5jyh87vsOGGvXDPcx/gjdUZvOxZAJz2KtA41dG/LcGGioAXY+vy7nOnPI/cv4gTXVVV+utqgfbdMm9+/yreq0QG/4DBmZ1vX2TjPKz3KLuA/eL1yDRKO7DcA3jdafp1jT5fJ8N/eg0C4eFwvw/H0yCaDeEmTloDCTYl3Li36WKceMzBOH9+CAfXrMRC/6Vo3vCy8JrEiV48ydqJ8NZTVLhDwecpWmgb7PwyivhhhVUovki7ZSKdRdpkWiYBtyuTOa7B+Hm+GFHOuIbhBimSDTO4XIpl8K5+U+U96c02UqMJIjyoKbK3k2lwJH9HFBMbQxin5YqMqi0bVHGU+H5g50n1VIDdeWK98MMSQXEl2On5ZNZuaTQGnAVB3QZrtPHl80TY1w0yPDAT4uz3uOC1eXhkzShB8T3FpBomQnCJKGk6MZNkHJVoGEDpnGQ6kueQ5JJzLOEOwXvk3cChd2BZnxe/eXwxDtl7N3z17J1C6+bbJYqmaAnmhxGBUFHyokW1w8/TrDXYyWdqJfDwTpFCQSuChZOMRyTTXuN1K7YtY3kxqzQ5QgR2U69Yh38Uw0zIJ9d5Jcf9To+aIpFsk3YON1Q64w8AsO+MJvrrfaY3F/6hqgKfPgzcuSvGpZfhvqMa8O/bf4f9L3sC8IpnYknwY8GMZt2vmyxfawdS5IinsoglM4gk0rSwTAan8EBRFNNCG7mHVXJyCOr8Mik62WWEFoN1uqXdgJ78errOk6Q9hzCbYm10jKzDAGAjQlZwOHzNjrf4e3PCIcj9q9znpvf+UkzM7I0moSgu7Hz2jbjumc/RXTUT1coAjlj+G9x0+h7IxAe419S3W6JgwIBzJ3qBk8zh+zfa732efFQH77os07Gtoo6KoXeWmuWa8p6nrBmklD8krY93S3eSbZnS4DBHyO9BJJE2DtnXNk+/x0WtwayoCHjQGUmUXCQj4kWHRm4pyRUgJHooioK/HLst7nt7JX48d6ycbPk9Rcjvwc3HbouXF7fh3L0mOV6PTqfSHtw7+p2dT/ngfuPznpfgul0KAl4X4qksBhIZ1BVF5YkMwuCZmMlSteYRtewcX+AUCoqP14w4VwpWgs2IvuNMsoHC4P6SrKlr61AUBZh1LK78Vyeaqi5GyJ3E5PcvAjyrgb1/B3jYzu90JktFLdpuSUiuYH6Y/jjJOVAcZFw8DcoOZoTUWbulVXA/fyWYxUnG09bD49LKX1OMwf2MmSL0YdRmch5vMcOM7NNBPYL5YeS+TvlDiYpsAHDEdiOxpjsKv8eN/WfmhZjettX4+Q/3xsXTN2JGoxsYuwuOPP8uoLLV8b8pwY+f7j4RkUQas0ZVO263DPrc8LldSGay6I4mEdeGAVT4PSgTfFCsLPOiJ5qyKLTxOdTsnF+8UzODPvu4BnB0jfg9bnjdClIZFQOJtO2zAVu7pYPgfgNHncg0Y7vjdeJG7zEqspVAJOvRO+drR+GLfR/F0kcuxtsLn8DfvngNH30+Dn979k2gYQrzml0mcQ1dkSRUVRV61uopEt7g8P2rqkr3sOL9vjLgRTSZ4V6XJbg/q+aEYZb9kZzLerdpMfJdGBkmHsWaQUraLVU1J9aZXdNbeibZlvmuhzlCAQ/Qb7yBio6cRkGukHE1TFQka9KmG7b358YHl0okA4CZI6pw/dGzHK8jMbTYZ3oT9pnurAJMQKZTdQ8UPjQ1VohV980enp2c9yG/B/FU0uQaJWGz7NcoS7sE3wM4OyHlaTkj7RcsbVB2jjoR4U2/bjFxLnVwf2nXzB+rf8JcpI5/ANe1Pgtf/9PAe7dCXfUm2na5Bi0z5jKsmXd9EULuNJPM6Fog4nFWzT2s8F4nZuer6KRUMFaCuZxkFu0XBEHGtkj9a6zWI7AL2CewylERWVc0XoFO+Sxxka25Mndf742mEE9lSsofPG4XLtq3qG1y7Ye44Kh98eD7PfhqmRsfPnIlXLteALi2zEr79wFV5V5cedhWJVlLURTUBL1o70+gO5KkTgon51OlgSCjqioVU3gFYrt7IG9eKmtm6ADH80PQ70FvNMXFISzbLTnuo3RdCzd6PtOUb2/OZlXTAp6T/d4oBoJORo2LFZpg4HCvCgVxVfo4TJ2URfW3j+PMGQPAXbsD+18DbHs8wCBw5dstCzPJkpkswom0kCvYqOhMft0rEK0QTWZADFLF339FwIM2k2dkK1gN6gl4XfC4FKSzKsLxFJtIxpBpqv+3BpJp2w4T8p6sJm6T43Up2qCJRNp0P5fTLSWGHawemJ2c8EbTtJLpLB27LSySaeSjvT+OTFalVYpSkFyJLQ8NodxDE3GQOX1oyrdbGj/ciUxQs2pvEAnGZpkeyeMAsQsG1oOl/Yq3/QI616vZuiLTrlAw8apIfAnkHzxY7fJ6WE28Eg3eNVqzusyHtCeIL2b9Fjj2H0BZLe557iNM3m4+/v5/59quSVolzFxfIjB6aAh43Qh4xYOMzdoGRB0AmaxK9yrjSjC/SEbOZav9lCe4325KrOG6Fte83Xs2gp3zjedBueB4TR7snYpklWUe+DVXfEd/oqQiWQGyGeCNPwP37Ysrd05h7tgy3HbH3XDtfrEUyIYZ8u7EOHUoOjmfKgzaLeOpLM3y5D337ZzevByCtfCQF7PsjzcoUhwocSaZVbtlnoOxt2+iyGE7iEMItIQSWDnJcvlZ/EUhFDvJdGuun3ESVn/7DebvtheQigLPnINP/3wYwpvW265JCtDE9RXwuuk9WJTrkL1P/5k6ER3JeWI0AEskWgEWOanQxHXedVmex3PxKDmexuNGt+MQiqIwDb+iTjLGIttwgxTJhiGsRs6LtHLRdQ2ymcjNS1HE3GkA0KxzknUPJJHJqlCUQtuthAQrWqpz59PGvpwz0SnJzbdbls5JFrQgkCJB1nYZJWCYQFm4HltGCRjzT0j7BXhGWdtNzNRaX6KchNTMTUuISipjPFDBDt0Grq+hcJIVZHJN2R/qGW/iyVUhRJIq1v3nLuCpM4FExHTN4tD+UhwndRcV54eVgOQWE1LeaU90Pd25bHROiYiuLC4tEVdmOQMhZWm3jNq8ZyPYPYzyPCjrQflDCe+j0Mg+4RBt/fEhEclWff4WHjx9FvDqHwA1g6adjsTbizdgp0NOKtm/IfH9QUtVGQBgQ18cHVqHQymcZHruTCYeu12KZaahEWwn0HJyCLJeVGvpMgPNiWS4P+UzCNkzyawKbULTLS0EfXJ8UY5hQvpj9bldg3IjeQoixSgWs6DxJlJoKpXDnfw/nEijvHkCcMK/gL0uQ8eAgv2veAbbTh+P7976l+Wa3UMwpMhIKHUyuEDvyi5u/2R1YbMcox5BTrcjuTasXF96MYvleKMMhTsCsiezxLTYOdOGK6RINgxh9RDhZJKUUYgimTpS4fcIWYEBoLGSiGT5KnBd0Od4MpXElokW7YEpkkijL5pCF223dOYkiyYzBZOanLZbwja4n/0aLffZE0ieAG8WZxo9XsbMI95KcNiC4BasJ0hyiz+HoM1ABTv0G5wPzocBEOI8mIySP1OqR+LZT9bjgUuOwgXzAsDnfwfu2g3qhs9MjjM96DidTtEyO7dI1o5Iu0TEZEqTaOAyOUa3S6FVbz1EnAoDDHkdZlMdrY6RR8i2brHOHZ/Ze7Za16y6LOJ0he4cKz4XjK4bXjRV6kSyEmaSQVWxeuFN2HqnXXHyfV/hvTY/8IPbgCPvg1JWzbCAxOaIVo1DbOyNOY5rgEmuKXWik7xJDoQsBKhEOoOkVuSpYBSy9fcbq/2U/BlPrimX+6WEwf2ZrEoFA6uiSK4oxl5os8pKFZniTWDGJ51wiHQmS+/XJCu1Unfc/fE04HIBu1yADXv+BX6fB2WuNEa8eDLw1g0596wB+g26KErmRtcJsM6KbPaucf52S+v9mVfIZc0P47mW8kIeu5BttW6UoSV0OEOqEMMQQQvVmcdNUgxSNejRhTv3CWYq6EEyRTrCcazriQI60ishwYtyn4durp+s7UFWzU2LqxV0JurJUNiQ5PKvS6uYBoRPJBibJ7if5eGWNaMEjJOpIFBls3sYFxE1oP98i9bVV/R5yVMqk6Xus1K1C6AgT8RaeHN7fTjxqsfgOuk5oHIEMpu+xYG774gbf3EksunC90KnCZZQzDOrsJbCSWaWSRZLFYrWzOv53IYPpSJOBfJaK+cXV7slIaQsmWS0Pdj8AS9i856NYPcAYfQwwwLSRhSOp5EqUbGBgPCFjv44NvTGAJ1DXRjRbuDxH2PMB5fh4MluzJlQjcYzngC2PY4pt0di80Wz5iRr64tjfQ85n5y0Ww52UZK2NCdOdKN7lf5+wCpk+z0u2nofNWk/VFXVNM/TCDz307DJvb5wPb7gfv391uhzKNe14PG40a26cVja18xgJhQ62UP1f4es43G7qGNP/+ez9j8Bn3+9DE/96mCUuTPAK5cD9x+EruWfDlqXCGH67DFavBMM2Tfa750N6TEXd0TzbO3aI80mOJuul7R3kvEe71AV2qSTTGLYoCJgvjnxPCgXg1QNeqJ6J5m4UEDQUOGHouQqOp+u7QUAjKkrF15PQoK4yd5b0QUAGFlTLuxM9LrzI6MLSK7gdEvYVIbCHER08HoWmWQi7ZZMlSvr7LDBa7IRUrsWDCJocWeKWAwEEM6q0H1OegJV6bjd0txJZrjm2PnAmW/h8Z6t8Py3Kfz29n9iw837Ar1r6EusCK64k0yr2BftK07evxnZ0/8brOdSwTHatkqwrxllIKQsrdAELNk8+XXtz1UewkygF5+Ls/n0DzO87ZZVZV6qLfUacAgnIllzZU7AWN8bw5ruXKFtTG1QeL1FD12H2E07AYufBgjPpzQAAJCzSURBVFwe3HXtFXh9cTvGb7ur8JoSmw9atciGDX2686lO/HwyyjUdKv7AMm26GIpiXyBKpLNIa62YTC4VIuTZ3Pf09xTrXFM+lxbJNPV5BrdFQhOLiLuWx/ll1Y0jKr7Agu842ZsJf6gMeAr4bz4Qv3BQT3XLWEw89yngkL8AvhD+/tzrmDBzNh7+45kgKfiqquoKbaURtPTnlv5zdeJwt9r7qLu71O2WnG5H1qE6Vs/0emR17kkmDqHdl6wKeNRJJjjZd3OHFMmGIaxu1E7aLUklWH9jLQXB9bpdGFGdq9y9tnQTAGC0A4IrIUHOp7e/6wQAjK51JroaTaci10HJ2y0FgrFZKlgi7ZZ2GSWwCFg3O0ZWAmkn6JcLOsmsBg2IDgMgr8+FrOa31dI5yXTB/XbEsbwWx9z0Jm67+Dj85aBKjOz/CLhtHvDpw4Cq0pYfo0mUZIoWL2guXXG7JWmxi/FPzYyYiFpet4vmtIQt8riKYVcFdpJ5Y1VlJYScLbif3aXFkkkmMqiHrJvODs7mK3iY4Sy0uV0KvY+WmkMQAeO9Fd1IprPwuBQqdHAhFcMVx++MPU+4EJc+vQaomwSc+gqC+/4Kbq/MSN1S0Krxh3U9MazuIiKZOIcwyjXtdXDeW92rwib3YidromhPDDK4Slj30lgqA7LlsAT38/IHtpwzHieZ+fTxvGu4dPECziZmavyhqIvCck1FAbY7EeoZb+KBZeXoi6tY/p/7gb8fC0Q6EE9lkcrkvrBSFdrMzq3iaAkeDJh8nihwS/Otmy+0Ge/P3O2WjM5xOhnabpI1ZwZpiIGTUyeZgGYwHCBFsmEIqwvKUbul9sDTrSe4DizjekxqDAEAlmzsB0ogakhs2ZjYlDufvlqfO5+cOhMJyS3M4xssNrCCEj6DCiYdW87xEMqShcEjkOtfE01ZE0jmdkveTDJKRo0/36BGLESD+42O12roCdOaJgQ3HE8jIyA+9dDplnxkVHG5cNbVD+End30CjNwRSIax+J4zcMy8sehb+w1gUgVWVf5AfFjk0g1FuyUEK8H2VeAcYYylMkzflapaZ94Ur8uWScZRBdZeE09lTdtOeZxp9Hh132Hx56v/fbmXv7JcY+FGd8IhJhbxhxE1ZfzO4Y2fA3ftgR3UTwAA2cYZUE9/HWjdVvi4JDZPTGzInU/remL0/HTCSY2C+41ynVihn8xYXNQQzQy0E6H0zw4s+cOs7ZFkXUUBdewbr8e3N7Nku5ZzuHxZ1hUR3YrXHSySaeYEgUITdaIX3VtZHFpK3Xg8+/F63HXR0bh0txCw7Hngtrno/+QJAIDHpRR8X6VwjZf73AXnlpPindXe5zTXNGgiavEKuaxFLFaHIm8GKcu6UYuJnlsCpEg2DBFiabcUCe4vHxzC3OvAMq7HpKaKgt9P1kQOCQkRTG+pLPh98fnFC3Lud2t5fKqqlobkWrRb2rUvGq1ntdmZZXEZQZ9RYkdKWR1qvKG2du2hvM60/LrmlfaQTR6TGezyRPT/Lg/6De6vXGH4dROAk1+AuudlOO3fCTz23hosufFY7Ov6sKAKrJ+iJRK8a9Y24CTM1+q8EgnezY9vtya4YDxH9a4qq0wyEp6dTGdpoLbpMXKIWgXHa/JQZveejeDSZfMVX/t6/iAyqIfcR8nEtXgqg3gq95k4yTUlRbb879nv98nYAL57+ELg7j2BTUtwwKwRWLzwbtz8zCdQ/NLRviWiJuijWbkAMLKmzFEmT02QiMOlcVBaFbFYJkUawW5YD08gOMt6xeuG/IOnEIqsR8AiFgYZBh5ZHW8xRCcv64+h+HujLsQY/5pG/AEcxSuPz4/TrnkU3jNfAxpnQB3YhJNOOB5jFp6BBrWn4PsqTX6YMX8SKd5Zt1s66xgolRs9XxSzvqZY1+XNIKUudysnGWNu2nCFFMmGISosbgBOMslqigguSlQFBoCtR1bRX3tcCmaOqLJ8vYSEFWa0Fopk2412NomsLlgoksVSGSQ194YYyTWfTiVyjbJsojwP4CwZJYOO17bdUqxdwi64n3eE+1AE75LXB4uIRC4PJbfNiuSUGBE9cr7FUhlb0QUA4HJD2fUC3PbXf2D3SZW4YW8X7vTdgAXLLgdivYPWdVIJLq6u58moQGWdJXiXy0lmTUj9Hhc8jMIwigKugxYEUv/v2QrOHKKWz+OCz2Pddmr3ns1gJhaLZJzpUUMnXObuo+QhzqUAIQckvC7kpy32ALDdGLb7/coPXsBOk5uw90+vRziWAqYdApz9Lqbtf6rwsUgMD+g5xHajaxytVRvMZeZ1R/LcuddBF0bA6wLRqKNF12g+roFvXdZ2S9Zrn9U5zrouS2uYHnQYgOW9WaTd0pyXhATb+GAhwJDvUWRNs2mkdK9nbWNsngmcvggf1h+NF5en8f7i9bg6fCmw8s3BazqYRFksEPo9bvg0RzC/u9987yPfU7+gk8yucMs73ZI1uN9OKOTdn+k1ZZVJxnAdDWdIkWwYImhxQYm0XxDU6Cy6pB2lVO2Wu05uoA+TO0+qR0CglUNCgmBCQ4i6C1qrApjaXGn7d6xAJmN2aSJZl0Z2/R6XZYuAGdiC+/mdZJaT7jjXZa1esU7j5G6XsCMkNBiYneAm0/kplJUGDxGimWRWofCi48ZhMvWrIuChAeg8hHSbvY7AosUd+KDlWGRUBePWP4Nbj5uK//ztOmCIKsGiGS36aaGlqtjbicSKonC1BJPXBLwuy4Bsjy5DzV5wZm+3REF7sImTTHC/NxOLqRgs2HqRL7Tlzge9E13EmabHfjOb6a/3nNpo/eJMCnj9WjQ8fRx6I1FEUgqWbP0r4OgHgWC9o+OQGB7Yf6sW+uu9ptmcTzao0/EHMgyj2yBvkhX6e1XxPUVkOjaQb3VkabdkAatznHVdq4EiRjAr3OhRbuKYtTxe+vkaDP4RKN4MWrfoeO3u8SxrBotjEEQC8T1+7Pize3D3LdfiygMbsGt9H/DAQcBzF0KNh0viGjeMVnDq7i/R95TNqpRrliq4nyWuAWCfkM2731t1naHoPVu55YcztkxpcJjDMhRc0IoNXauEquZuhDVBHzo10aA+5CzUtjLgxa0/2g7//mIDLthniqO1JCQURcG1R22Du99cgZPmjWWe8mSGvJMsAejEsvqQn8nWXIwhC+5P5gik0THxrssqGLFuzEEL95zxusY5V4PX4xdKYPKgL5pJZtZuCe1z6YwkuYlz4STB/LouLQC9L5ZCXyyJhgo/+6IeP+70Ho+/Jafhovit+MXTy5F+6kJ81PkRmv0nY1mJRTIrV7MVzKaFErCSRqM1rSdRetAXSzGRXNbQXWhEPZ5KMF9LrPkfQb8HXQNJU5eBXYaK+fEaXwf5Bzmxolhxu2VnJHc/rQs6D8U/d89JiCbTmNFaZVkUWf/ZIox4/3Jg42cIeYEnL16A1qP/jKYJMx0fg8TwwaGzWvHNxn54PS4ctHWro7VIkS2RzmIgmUHI70FnOHfu1/Pcv3UI+T0Ix9OD9lPWjFCj9cDgJGN1qLEKBqyFe/LnZKCIXSGdhZeQ98zjRrcM7hfc72CxP4lO3IZlzhkZqMO/19fOPRbXrRmLWcF/Ys+BhVj50p044oxb8dOLfwtgGyH+kC8GGrvGuweS/JMo4+Z7ad6dx76mvq3ZjEOIFoLtCu3c7ZbMQraW7WqybizF5pYfzpBOsmEIq1BCJ+2WPo+LtmARktulkdz6kNhGr8fe05tw0w+3xWiHIesSEgAwa1Q1bv3Rdth+bK3jtWqL2i3JeV8nKA4HTbIwVFW1rFSagWyiqlrYBqYHr0ONOVOEISAXHKIbgb21nRBc+wmc9Fi1Ncu8bsNgb1FCauT4omsK5pTEU1k69av4fp0fJMFPnPtjKXyiTobr5Odx+v7b4MjpHmzX+xxu7DoLu7s+K+m4ddHPk3xPvqJpoQQVdF32Y2UhkDzCK0/VltVNyF0JtmkPFnWOm1XviRgnUmSDvt1yILcOceSWgj9UlXtx1eFb4/g5Y4xfkEnj/844EOO33xPPv/EhEKgGDr8b217yvBTIJAbB43bhNwdNxy/3m+q4yFbuc9NOCdJySQttggKxmfPLbNKwHexctLwONebgfsbiXVD3kM5yf2a595ULuNGtjpfcN1MZFYm02ECh4uPN86bSxSAYDZJgRX88hQGU4YnWC4ET/oVfvenGp+vjeOTGy/BH9z1IRfuEj7Ok+WFM0y35i2wuBdQZXowgPZ/Y1o0yxiswB/dzZpAGbdotWd7zcMeW+a6HOaweRp0E90M3Sri4ElwKkish8X1FrXZ+d0ZK44AoN8nX0E/W43GSlXndNKPEvhJc2nZL9kwR9ipbJqvSKpZZa1dQR5rtJnAS2IX5irdbMpA8QaEIBpMEiYDK63iDLoejqaUVtz77Gf7x9MtQasehNrMJd7iuxqLL9kf3uuWcx2rs+hMluFbtqxB0qLE4yXi+fzoanaHdmnXIBHclmLZLWLdb8txLYCHsimacERD+0F3MHwTdNMzo+Aa4bwE6vngFyQzwdFsL8NP3ga2PBu1dlpAYIiiKomu5zJ3zTs99s/00zFi0Koad84vXocbaus6ao+R2KSjzsrvR2ZzD/G50q2JjULf/8ez3iXQGqYxquK6oGxsW7fvk3OCZ6klAhwEEvMCEPXD781/izP23xp0HleF476u4L/ozqN++wrUmU7ul6CTKEnEy/d5s1j3CO8GdfD/ljO2WdsVG3v3Z7jxgHaoxnCFFsmEIfRaA6XhoQZGMtPZ09CegqiqtBIs6aiQkNgcUB/d30vPeKcEtJHvk+nQpoISQBbmgffOqqN6hxt4uUdoHe3J8TAKEbtM2W9cqvNgMtFXCTnwRFLSMrf2ClVDaKucelNckSpzTmSz9O2TilXvi7sBZ7+CdhmNw+WtJ3P3iYuw9ZwbUxf9mXtdMjHH83k3InohDLd++a35d8Qi5PCG5rKScP3jX2mUgWhQzI/v5ybBi7ZaUP4SLhIIStFsaITHQj95nfwfcsTOw/mP8cb8GPHbNubj95W+BimaGFSQkSgPCFboHkkhlsjS4X7TQFvQbP+CKimR2ghGvQ4214GDlwhZdExaFGz3KTXiY9brm91S3S7HNdjOC/t8v3p9ERSJYCEVOstOKh7VVN43C7Qs/R/VpT2JNtgEt6ML1Pz0IJ+89DT0bVzOtafWZVtjscWawLFxqn2kyk2V2/LHGNYDjfMo7yay5vtm1bnaMQcbWSDrd0saJLqoXDAdIkWwYgmyOqlrosMhmVfTHnQXtk7HYbf1x9MVSSGsinBTJJIYzyPmdF8mcOSjNHkL1E694g6ytqljxVJY61JhJLsN49ELxzUYkExAgPC6FtqkUQy8M8k7MNDvWkGCF1UooFCWkQ1Fd1X9OBZ+BL4i3J56Pd8efgUkNfvxuZxeUx44HHj8JGOi0XDOdyepcf8VkPE/CWMKWCezIHsvo8mIwtVsynPP0GJNsVWDwtEtwBvfbtVuKFsXMxGKn06wJf2jviwMlbrcsxkfPPoBtJzbhrEuvBLIpYPJ+KP/F+zjqopuguCT1lfjvQj/8p0fjES4ln9PHCzPBiFyj1WV869L1TPY+ci+pLLUTneMeFdJlr9ohv3+aCxBBkeB+G0edyIRssqZRDISTnDOz4p1oBAQA9McKi2wEvkm7Y7/k1fhL/+647LUE/vqfb/DMeXOBpS/YrskiaPFHNpjvpUEBxx9PXANvpIjddEvW4i1vXAM5XrPzQDTfcDhBMoVhCL8nP21Lf1GFE2mQ55TiGxwrmgjJ7U9QN01lwAO/Z8ucfCGxZaBW12aczmR1D3diBFfv9tSLB04eQs1aOKFzgCgKW3sYGEWtRDovvtltzDxVNv1mb2XzJu/ZLIetGHaZjDTItISjwUWnM1kdqyjJJQS33OcelPUV8nuxunUBDr3hVfzgtEsAxQ18/STevHBrPHTlOVCzWcM19c7F4gcScuwkbJkVdlXboQru55lOxROyz/LAmExnkczkPiMrt1vBuoztltwh3ibnbL9Tkawqxx82RRLIZNV823opRbJEGFh4EZRnzsHS9jgWrVLRvvv1wLH/AKpGlO7fkZDgAG23jCSxSTvva4N+4bwzs3tKr9bKzMvxacZniR6Y85Mjre+lPC3hfO3w7Pd7nqJYXiw0/nztJgYaganI5kgkKzxW0k0gMgyAGC2KxdKgz4MoArjOdzr+ed/NOGNeHU6cEgH+fgzw2IlQ+zbYHmcp37/V/ux2KdxiJksBi3Wia/GarJNdSzUEg6DCJrZDdFLucMKQimQ9PT044YQTUFVVhaqqKpxwwgno7e21/Ds/+clPoChKwX9z5swZysMcdlAUxfDGQgiu3+OynQxjBkJy2/vjMo9MYotBfdAPr1uBqgLt4QTa+nNOCK7JgjqQTSyrFk6QcSKSWT2I6zc71mwBlo2ZEAxFGZybNXg99ipbhJM8sBJSO2cNbyWQHq/FuiKuJ7AKb5wkt99yMpdWVVT9wF6XAae9imjNNJz0aBtO+PWt+MuJWwOd35oep9etDCqWlHvdNPKJq7JuI+5UCgiPLASSJ6OGEGG7KjAYq+F2Ez2Nj5et3ZI3aN/OpVJVJkaa64I+uJRc5mBXJIFNDosNxVj/5sPArXOAD+7C7FYX/nHBAixeshRNu58is8ck/qcg3HljXwztDvkDCvaqwv1ZlEPYFbHCJoKL3XrJTBZJiwKJSLtlqYL7gxzO4eJ1S5mXyRLXEE9lkcqwF5pg4aazGu5mhzyHKDwP3C6FFnem7X8y7li0Bsr8cwHFjfRX/8Ke247DnZccj2x68F5l5foaikwyCIhvLEUxnvNTn7vLOt3SruWUdzo2+WyjyXwWstF6vIN/hhOGVCT70Y9+hM8++wwvvPACXnjhBXz22Wc44YQTbP/efvvth40bN9L/Fi5cOJSHOSxhdANw2ioBfbtlXxwbemMAgJbqgMOjlZD4fsPlUijJ3dAbo+f+iOoyofX0gpL+GiVV4CqBFoygReshnUDJsdmxCAaU3Pk8tu2hPFU2llYJCEwTspscWmGT0WC7roGoI0pI85lkBmvSKihfToeVSDjIPdQ6C57TXsEpR+2HCbVu/HjkGuD2ecCiK4FUnP49KyLlcikIcbbE2q2pP36e9z9gMe2KoNROBZ517SZ6GsGO6JNzjpfk2rZblotxCI/bRYWBtv48h2gVvI8S9K9biqPmjsVWC45H24Y1QM1Y4IR/4ahrX0TtyAmO1paQKAXIOb6+J4b1vbn7pyh/gMUDOW235LxG7e5RosH9RsdouC5H2zpPEYPNScbmRM9mVdsCjsjwHyvHL+vnaLmuSSZZLJVBmlN4sypgBum+nAZ85cCCPwKnv4a/rRmB11Ym8aubH0HPX/YENn5hcpwGIqGgk8yKP0GgjdNuPejeP8t00yhD7i6BXii1+r7Ieczbbgmz5wYOl+dwxZCJZEuWLMELL7yAe+65B3PnzsXcuXNx991349lnn8XSpUst/67f70dzczP9r7a21vS1iUQC/f39Bf9J5E9q/YjfUohk+XbLONb15AjuyOpyh0crIfH9ByG0a7ujaNMydUbUiJFcl67qpq/cOrlG86R58ObMG9qvX88sowSclaZSV4Gh2+RZg1KpWGiTScbt+rIQYIRHmFt8BqKB+NZTOAe3YPjKQ7j0zoVY/PXXqJq5AMgkgdevxm8PGouXH7im4BhK2hqpkb2QaSaZRnC5HkTs3Yl8uXns0y0rGNblHd+OgnPLxv3BSXLJfaK/SIQsZaFtdVcUm7QAf2GxIJMC3vkLgvfvgRWr16I/ASzy7g2c9S4wYQ/hY5SQKDUIV1jfG8N6wp0F+QN090b9PUVVVQdOMuu8L94HZq/bBZ+WJ2q1T/Hc9/ja4e0Fg3xcA6ObSPc60/1OJJPMQoDxul0IeF3ca8LCpVcovLEPLQBrVqr++27ZGifc9RluOv8Y3HRQNer6vgDu2h146TdIDfQWvN6oeCmy16czWRrvYPc98TrJrJ2Jbt3r7dqMc3/utsjdpesyfl+8zi+/xw2fVpAz7EBxOOhvOGDIRLJ3330XVVVV2GmnnejP5syZg6qqKrzzzjuWf/e1115DY2MjJk+ejNNOOw0dHR2mr73qqqtoO2dVVRVGjRpV0vexuaKmPJ+hRCBaYdIjbxmPY213FHAgFEhIbE4gleBP1/QinVXhcSlorBB3URo9kPfT0F2Rdktz51dYIICTRTDgWZenysbq0glytkvYEf2g7kGheDKw5bqW7Zb8JA82WS3CawqKeb7mKcBxjwNHPYA3Oqrwx5fase9Pfolv/3IkEr0bC/6++bGyu77sRFIR4c1uYqb+WPncjuznvtX3xeqeNDreiIGjTlXV/DnESXIJR+iJll4kI4W2j1f3ANqDhQgnef+pO5G9bWfgpd/AnR7AvafugI9e/AeOveqpnItBQuJ7BCIEr9c50VsddGEYOZaiyQxSmdy+xXtNldvspXaToY3Acj8VCu7nKrRZBfebFxat1vS5zSNrRIpitgOFBCIbrO7/Po+LCjM8+zJsuJmZA9nj8+Pc6/6B4+/5Gpj+A0DN4MPHb8SEkQ345w0XIaLtK0bfVSjA7+4vmBZq1hZLBT2298+yP3t0gqbdOUq5mM9tG4HidbN9X7zTsWFTGObNOBuOGDKRrK2tDY2NjYN+3tjYiLa2NtO/t//+++Phhx/Gq6++iuuuuw4ffvgh9txzTyQSCcPXX3rppejr66P/rV27tqTvY3NFTTB3Y+mNltZJNqK6DB6XglgqQ0muk2qYhMTmgpEayX1vRRegCcaiobswIVO9JXCSWW12Ii4VpnZLFqGAq8pmb22HfoQ7Y7sEccbYCTpqUVacHaxaEPKCDh8Zzed0lIY4gtWdZramogAzDsWsy9/Bzw7ZDmft4MOkrpex/TN743T3v1HlMxYVnYXsWz+IsIqjKV0uTqmC+8mwCJaQfZYJp9T5wDi+HTbB/bFUBkTn5XWSkSJbr67IBgB9UeccYmx9EADwxrJNgFZkY81JBACE23HGgmmYc/iZuP+VL4DyOuCQWzDr8ncwa59jhI9LQmIoQYps4XgaizfmOl5GOOjCMLoHEo7vdSso48wdtm3dFnClBnkiG1gKbTzThxm4Ccvx6cFSFOTNSQVDwUXEOR5PZen9v5RudCvx0daJX9kCHP0gcOyjuPoDN9b2pvGv+2/Cn/ovxRRljWWRkUt0TObFTJ+JSyvoY9/rUcDHrM9T9knWfAIUy/fFeox60AmXBtxEtMg2nMAtkl1++eWDgvWL//voo48ALUC+GKqqWhKiY445BgceeCBmzpyJgw8+GM8//zyWLVuG5557zvD1fr8flZWVBf9J5MdK651kRDATnWwJrQJBSO6KzgFAR3olJIYzxjXkzvNvOyIAgMlNFY7WMyJTQxbcT8QhISeZvb2bRSTjqbKxExI+kmuX0VTmdYPonnxhvubim3CmhsWxOp/4JL5mZeNI3Pz0x7jlqXeBEbPhSQ/g9NTD+O6q/fDcXb8vybHaOsl04iiL40//XVoF7YsE97MQ0oqA+bVZfIwiQraRQ42cPy4F3A/MRk70bFal/05VmXjQ/qTGEKDnD3WM/CGdBN69Fbhle0zGSigAVgS2Bs75CNjuBMAlh7VLfH8R8nvQqOXxfadxiElNIeH1jIpiev7AJTzr1jPLPRJpvQoyCBFchTbGvSSbVfNFDMv2OD5BK0z3ZPvwdp79LmzDS1iKLIPWTFhPNBdZU+9OcyRoTdkPf3tjBa74yV748/5V2Db7FZ7z/Qr1r/8aPRtWFrxUJNOVxfXFW7yj79umiMUqkrK0A/OuyxvcD51L0Whd3hzC4QhuVnHOOedgyZIllv/NnDkTzc3NaG9vH/T3N23ahKamJuZ/r6WlBWPGjMG33w6eqiVhjpryoXGSAcBk3cbuUoBpzVKYlBj+2GpEdcHvpzQ7E8mMWpqcBGNbjTN3FNxv0SrBOyKat8pmt9mXcwb32+WfKIpiOQDBCOlMFvFU7qHCiPCwiI2Gx2pBysSHAVi50/Lvm0V4UkZsB5zyCt6a8Qf87i0Fn6yL41eXXYHMg0cUTMEUqVjbiZkFGR0M372+TcassgwOggvwVYJ5gvv5qsDmLSP69XgfmKs1J3o8lUVcc1SG42mo2mnhhEMUFxdmtFZZvl7NZvH0rb/Fl7/ZBnjxV0CiH+cethM+fenv+OOj7wPl5pm1EhLfJ2w9Mn+ue90KxjkoMBtx/F4HTk/9nlDszE6m8xlPFYzTLaHbZ6NW970hCO7X7wlBhqD1aIqv2GK1Jm/hTv9aM34mUmjSO5ON7v80uL6E7jSettCyqjpc9tdX0PTLj/CSuiM8ShY33n4fJk2aiCeuPgfIFrrzhaaFWog7rBMjCViLYkFG/hjVtVuygCXrTmQapVURl2fy7HAF9zuvr69HfX297evmzp2Lvr4+fPDBB9hxxx0BAO+//z76+vowb9485n+vq6sLa9euRUtLC++hbtGwyiRzKpJtN7oGC7/MtcxOaqxAGeNFLiGxOWN8fRAhv4duJrNGVdv+HSvUBrVrdGCw29NZu6VVcL+Ik4yhcsUx8aozkmRwkjESEkrCS2eZD/o9CCfSzKKW/oHCSnzinURJWgaMPlunTjIrdxq0hwYm4dPlwuf1B+DVnarww+ANOHPUSrhXvALcNgfZHc5AZPZZQkHGdmKm3+OC160glclNG7MbSDFgIQ7qwTfdkj24n+X7EnGSVVi0W0ZsHrws1/V74HEpSGdV9ESTaKkqo/yhzOu2FBrtMKW5AmVeN21n3nqUhUjW9hX+9NMj8dsnl2KPsW7856yxUPb6LbzbnoBtpHNMYjPDViOq8cqSDu3XVcxTbI1Qo/GH7oHScHy/x03vqQOJdMEa+v1axI1udt/LZlWuiXys7fDkfuhSQN3rxuvl7t0kXsHuGKI8EzM5imJ2AoyjiZkldKeRf9/MnSZSvEtXjsLpiV9grvoZlqz7E7qiSVR//Vfg7i+Bff+EUHAWwMmfaJHNUszk+55Y92fWdclnaeVs14Or0MYR2UCuAaPvjEfAHq4YMpYxbdo07LfffjjttNPw3nvv4b333sNpp52Ggw46CFOmTKGvmzp1Kp566ikAQCQSwYUXXoh3330Xq1atwmuvvYaDDz4Y9fX1OOyww4bqUIclSLulfgPtL5FItu+MZprFdNDWUryU2DLgcinYf2YzAKAy4MHOE+2LBVYgIlmXwTVa8uB+usFzTLdkqIjxbqIsa4KjIpafEMpGyqJ0Xat2CTfTMRLoXUp+j/UIc1VlHwbAMkWKV3izcqcR4QkCxDnmr8fUcx/Gbtd8DEzaF8im8fBdN2DC+LFIPXcZvEhzVoKtH5wURcmTRoZjZRVdebLOWB6Yite1nvLGJuQZrmtBcEWqwIqi5J2uA7lzrFRFtoDXjQUzct0EtUEf5k2oG/yiSAfwzLnAnbvg+FHrUR1QMGfOXKTP/gCY/WPZWimxWWL/rZpBTD0Hbt3qaK26YL4QTlxQfbEclxC9Rs0KY6TAUe5zc+Ww2t1P9Y4vlgIea4YYq4u2zOum3webI5mtyAZOQcuu3VJEfLIbXCAyDEDvpDN0pzlwvL2rzMLb33Tg6avPwN7TaoGNnwH3H4jvrj8QLT2fcPEnFkErz6FY2y3ZxFzWc5SlHVgPuwnZLBM9jUDzbQ3WJdcET3F9uGFI3/nDDz+Mc889FwsWLAAAHHLIIbjlllsKXrN06VL09fUBANxuN7788ks8+OCD6O3tRUtLC/bYYw88+uijqKhw1tq0pWEo2y1H1Zbj3h9vj7XdURyzw2iHRyohsfngNwdNx9j6IHad1ODYglxbbuAkK0W7ZYmyBchGSzJKPAZVb96BAKxVtgFGK7pVi6nhuizkiUMoKVjTbDKV9vOsVq1mrRxaCZDFwhtrO52VWESEp95oSmtBYJu8VvCZ1k8EjnsM+PZl3P/3I9A5EEfruhfx8qgleK/tHECdAjAcK1OmCD1W9tZI22mpHNXlCHWSMYhkuoccs+/LSbtlMpNFIp0pEGlFgrb1qC73oTOSpOH9vQ4fwPW4/OAZmNgQwv5bNRcc80BPB268+MdQV72N38zPfUZj5x+BtRdcjNCo6Y7/XQmJ/yUmN1XgnhO3x5ruKE6cO9bRWqQQnlVz3L4m6HPkRIcmfhjdU8MWmZuW69HIBuP7Kfl3PC6FTu+zAuv0Ydb7PYlXiCTSOTe6zWPmUPAH/Wvt2i15WiPtCphDIrxxCk8oCtkPhkI45OI7gMgm4PX/Q+zd+3DqbW+iLfIGLjhmPmLds1BeN4LjOFkcf3zF0FK50XmnWdt9tiwTPQ3XtTheFkfecMeQvvPa2lo89NBDlq/RK8NlZWV48cUXh/KQthgYBfeTX5NWTCfYfcrgyaUSEsMdVWVe/HSPiSVZqzZU6CTLaK1N0LnMeGCZSSbQelWY+5RBVZm5SMYePspaCeat2vGNcGciT4zCm12YLxkGkFVzpINZJGNwkvEKbywtGL3RFB/JNTrOSfvgxS/a8eAfz8ahnkWoVdsxdtVvsfj3D2PTlOOx2w9/5ug4YUPuzNZjdSYmtWmYVm2FIk6ydFZFIp1FwCBI30lwP7RrwFAkExTzqYivPXiT/4sI+MWoCfrws70m5X+QTgKfPIC37vodfnPvRvjdwI/32gmjjr0BGDMX4vHmEhLfL+w1jT2T2Qo+jwsVAQ/C8TS6o0nUBH20c6Qu5Bdak2aIFYlaogHedoKB/r7MUujhFyDsj7fc50YkweZ0ZhFKRJxktoNqBJzjdi2cIsKb3efKm/MFM7Eo1AAceB16xxyOrZ87GsqKjbh8/Bfw3bE9MP8XwLxzAJ95nh/LXso7UMkuAoIeOmtuHkeRDQwFPJaJnsbHa945QTtQtmAnmfSsD1OQh2y9k6wzkgAA1AtuoBISEqVDbZGQ3T2QhKrmjDa1AkK2lUtLZLqlz+OCz209jZKXPPOSXDtCwhPcr6r5/BOWTBFm8mSTA1HQGshDSC1ImX4KJ9/UJ2vxUaxdwvg4Pf4ynPyHv+I/+7yAG1JHIK4EcP7fPsbux56LPx+3DdD2lemaLGImT8WeN+MOOhHMCPrpaeUMleCg7tww+2xFnGRul0KzYYrPA5EcQj3yg0Vy96cujT80lJA/ZFIprFx4K3DrDsDCC7FgRAQnbl+N+/74M4y48C1gzNyS/VsSEsMNtUW5ZJ2R3P9FOb5Z1IBovqHdPZp3YibrPZ/nXmomDBqBRXxjGXg0+Hg1XmLmRhdwp9kVSXinO4JBKOLN+So4ToP33jJzPp77dD3mnfF7fOOaCFcqCrx2JU6Y24JbLjgGyYF+k+O0jy4Q5nmMHCJi8/3ni2xsTrK8qGcsQJLjY+Ejeli13eYdjs4LY5srpEg2TEHaLSOJNJLpLFRVRVeEVJmcO8kkJCScoTi4v2sg9xBaU+4zbG20A31YNqoIxcUemMttnF/k36pkXJe9ysZGSHjIYyKdRUbLbimV+KJ/ndVn6ySrw4iQKooi1oJhUwl30oJhRpwDwUrclDkC59TehfGTZ6DMAxxWtwK4Yz7w6AlQi8Qy/Zh5q4cyntYO1mmpXl0V1uq7iqZ0rQ0MlWCXS6EuNbPPNi+28pHcID0PCsmzSIivHsRxTtot80W2EvAHVcXS5+/BrLHV2Ou4nyHZuRIINkI58Do88G47fnTJzXB5ttzqtYQECwaLZLlrVJTj22WS2Q1IMVvPrjDAyktY2+EHOAQIO45TsC7DPVUouN9mf8pnr4qsWTrXF3X4m7x/J22hZmsCwNraeTg0+Xus2uMWvNZZh4c+CeP8Gx9D21XbAh/cDaQTRcfJXmTjzZ5lj2yw4bjaOcrqJLM7XtH93kwszegKgTw5qcMNUiQbpqgMeKnToCeaRF8shbT2gChFMgmJ/z2Kg/s7w6QKLHZ9Wok7oq1XQZugfepQY263ZKuysVaCyznIo/49lBu0u+WPkYiNbISUZUy2UAuGTRsneWAZikown/DG5k5rQy1uW/g51n79ASbsehQABVjyDC45YjaOnjsW37z1LMAwZp6AJ1OEVpZZ8sMYHnLIAAi76WkF6waszwHy7/E+iFaYHK9oixRBTdH9KV9kc+Aky2aBxc8Ad+6KkW+ej019MfTEga/GnAz8/DNgx9MAj+QnEhIsqC0a0EUKbaJuTzMOERbmDzZFNs7iXVDn0rIKcbcTc/QoZxwmBIa9DgycyXhdu3ZL/pB9u8EtFTb7kRFs2y2p4MLfbmnt7ncDULB+xP6Yf+2XuO2XJ+CSveox2tMJLLwQ+MtsvHPfr5GMDTCvyVMMTWeyiKey2rHYiGSMnNSqCGq4LuWQxuuyFGuNYDbwS39eyHZLiWEHl0tBQ0Vuo2zvj1MbdkXAYziBTUJC4r8LIpL1xVJIZ7KU4NYFRVsl8m0DZNoVgahIZicY8JJn5iob47qsQb76Nct9brgsJnTxBrryETI24S2ZziKZyZEyM6s7eWDgyQ+zJ7kCwpuNO614CmXd5B2AI+8Dzn4X4fEH4baPknj8vdVYftsxwOM/QWztZ4DFmHkCnkwRnvYblumm+qot69AEO6GURWw1Ql58M3aSiWaSNWr8oaM/d19yEteQSSXx92vOwzl7tAKPnQC0fYFgMISn/vQTrPjuO2x36o2WGTMSEhKDMchJFnbWLZIXjIwFd957k52rSrTdUlWt2yN58h3z7Zb2+whLixxZL5nOIqXt4XawbY3kcLvl17QW9II+dic2gZ3jTcQxz+P6CsfT8JYFcdb/PYjfL1wHHPBnINSMDetWY8/Tr8SkETVoW3gtErGI/Zocrnn94IlSB/eztkfaCZC8k+bpuhq/LC6MkuP3upUtWjPYcuXBLQDNlQG09yfQ1hdHpTbtppR5IhISEuKoLvdBUXKEryeawqaw9hBa4awKDE00Io6UbFZFv+BkWzvBgNetkid7bFU2O0JSTgguh5PMtoWT5Jyx2vAZyIloCycsR7iLE1L7FgwR4my3ZtF31DgNFSc+jHdGH4VHbvwtDpi0Gvj6KdR+/RTOXjMKizy7AOr+ptMw7SqrPMdYsC7D98+TR0ZgN8I9wunKJAiaPOyQa76S05lG0FyVm27a1h8HdHlHXA/g6QTw5RNY98z/4YQrvkJGBU6Y0YCdjvgZMOdszA3WCR2bhIREoUimqiottIlmkpmJMX3C/IGtMBBivEfph+AMJNKmezlvcD843egsDmdyHNU2+bLJdG5IDCzu/UKZpjbOIjtnsxHs3r9IXAObk8xg7/T4c87jbY/Ht3f/CrXlf8Hoiiya3v8Dfu2uQb17AarUn1qsqXHbpP2E8AEOwYiV60U53O1gKAqKhuybiYVO+cNwgXSSDWM0VeZIbnt/XOaRSUh8z+B2KbRdoiOcd3vWCUy2BAC/xwW35pDSE75IMk3b1yoFSa5dJhlrsCcL2dO7qGydZBrBINMIrcBqb+clpBGbKVJgdCcVrKm9zu9xmebT8TreWFoGCMnlqljbiIR2pHGr3Q/FVf/6EsrZ7wIzj0BaVXDPi0vwwt/uwEOnTAe+ehLIDP67PJkqIkHOVp8Bz0MYgf2kN9JuKUZyix/yRB9sCQh/aOvLiWQ8D+Bda7/DwmtOAW7cGnj6bIxR1+Dn8yvwh5P3wZTffgjs9VtACmQSEo5ArsWOcAL9sTRSmdxGLzIdGxb3KNF7id29lNf9oigKUzuj3YAanmMsXNf+vq8feMQzedlqXd6J29DzEhM3tsgwANaC2IBBN4PpmgzDlCw7Brxl2O3sG7B8XQceuvmPUGrGoDLbi5+7HsUVR22P84/YCX1rvxn01whntXMlgnO/Z+Vl/JPh2dot+Z1kxoMmnPKH4QIpkg1j6CvB7Vo1WE62lJD4/qC1ugwAsLE3jra+GKC7bnmRI5CDxZg+bcJtwOtCwCKLywhW5EQf7MnuJGMXIMCSSaZz8ti1S+RHorNVAnmnHnFXQi3A0irH02oKxpaBoPYA0s9YCc5NDLUhztq5EUtlkLZqP2maARx5Hz7YbyFGjRuH1goXDmvZADxxEnDLbKx88o/o71ibX5ejhZU1uB+MIik9lzhCcvUtI0YQbY80m3pFSC6vME5A7kPt/XFksiptu7R0o3ctx4p7T8GoCZNwxK/vw6b2DUBFC7D35bju5XX4zb0vobpljNDxSEhIFCLPH2LY2J/jD9XlXu59nsBsn+qLJenapViPgNyzeAoDLMH4Ivf7AabplqyFNn53mt/jgtekICY0NdKmRVZkwIBt/qjue7TLnSUIM7Ty2u2dAFBWWYsxP7gE+NmnuL7iItz+TTWWdmbwj5c+RODuecATpwBrP8ypYhofJqkbzIIWw37PWhCN2oiYxTCLVaDHKDici063jBuLZKL8YbhAtlsOY+QrwQnqIBhZU/Y/PioJCQmC1uoAvlzfhw19MWzojWs/E79GQ34P+uPpgk3fSUXISjCIFIhZbBt9kKGVjQgQPgvSSECmESbTWURsWhtYJlNBRNAawnZLK/ExyEAcjda0ahkIcTrJYqmMbci+/twYSGZQVWb9ncaqJ2D53jdhlx+lENruG+D9O4GeVTjn1ivwxurLcP/5B+KI865BKJDLsGKbbllaZwFZzyozbdC6Fp9tNqtyV5YJijPfCJxWghsr/FAUIJ1V8W1HGIl0Fi5lsIifTaew6vW/Y3z7QmDZCxinZjGjwYWMuwwbdvgNGg4/T4bxS0gMAVqrc9fiht4Y1vfkRLIRDvkDSugqCdnFNVAnOo9IxpAZyeDupuvZDBcwOl7b8Ha/Bz3RFFdeJkuRrZRtjHnhiT9k3+z9+z1ueN0KUpnchGqWVj0WQZOLk7k9eF7ZBcvGb4M7rn4PNSsXwu9aAXz1BPDVEzjj1SB2XnAojj7v/yhfDifSaLQ8RvaQfVZBk3IIzjw+s3WdTrcsziSTTrIcpJNsGKNZ125Zig1UQkKitCCC2PqeGNb3Or9GjchEr+Ykqy7jf1ClobYGGzMhVz6PiznYk8mlwzn1Jx+8y2aZZ60Cs063ZJp45TcmIuZr2hMeUeHNumLLFxBMjtMqZJ8QZ9Z16ZqhZmD3S4DzvkZsr6uwOuJFJKli68gi4LY52PuDU7FH6k0MDAwwr8kT3G/lLIjauOeMYOVQ1D+UirZbDia5ud+Lklyv20WHiHy0qgfQCm8+j0YbI5uw5G+/xISmIHY7/CdIf7MQgApl8r544Zmn8PGqfmxz9C+lQCYhMUQgXKGtP47VXdGCn4nArKXLaSbZQDJjOI2yX2ACb6nb4fmmJLO5f0RaOK0+A55YCYKIzbohm+/G8lhLJWgxfle8kzgjiTQUxYU5x16Eo2//FDjjDWDW8fiozYW73tyIUy+/HX3XbI3z3I9hpNLB0RrJ4Uy0C+5nGAKhR8hGKLX7vk3XJedWuvDcEs0xHm6QItkwRkuVrspEHsBryv/HRyUhIUFACO2a7igNyHbi9jQSoZw5ycyrtuRnlUIE11yA4CEk0Ll57AhUhLFyxys+Efu7JcnlJo4cOR0lFN5489jocdpMeeRpYR3k+vKVo2yXs/Hlugg++ffdmLTzoYDiQkPn+6h++wYs+uVeeOSSw4COwbkj+TXZRS2Wz4D1XNLDqmWEvGePS4Hfw0fLyHVN2qqhtcFSksvZIqUH4RAfrOwGAIyscKPt/SeBJ04Grp+G8UtvRySeRiQJLG09Cvjph8Bxj6Nu9iFQXJJeSkgMJepDfnjdCrIq8OnaXgDACAf8waxIQgptvPcSci/NZFUkDMQdkYl8LPlcPPf7cob1itdlcZKBsygUtNyXdW5s1r3Zxk1H1jT7biyP1aogyDk1k2cYAm+mK+VkLdsAh96KMZe8iz+csh/O3aUWjUoPTso8gbf8v8CTP9sJj193AeLhXsP1eERXvRvTSnyMUjc6YzE4kBdKE+nB/Fl4gn3AQ2cj9Wpt1ZBOMgrZbjmMMaExBABY3R2lQZKy3VJC4vsDcj2+u6ILmawKv8flaAKtkauqz8HDshXZEyO49k4l1rZIAlaxiDWnhL8SSgQti+oqxwQt6IQ3K6GQZ7ojOIU3ZjLKkCdC/py1/cTse1JcLmx70KkATgV612Ldy7fimb9ch/ZIBrXrXgJuexUYMRuRyUcgPflAVLeMHbRmqdotoxyZNwSW15JOaLUSG41Qo13XPdE8wY2n8sMvnJDcCQ1BfLm+D2u++RiHb3gUj96+CEdVA2+elGt19Y/ZHs/ftQemH3gWyqvrhf8dCQkJfrhcClqry7C6K4o3v90EABjloBBunkkm6CTT7eEDifSgrDTabimQScZSxGC737Ptzcl0lg5GYBXJuNotLT4Dj9uFgNeFeCoXK1HDMJjBjp8Fdd9NOD74uzGCnfCGguE/rFzH/hzgaTdVVdVUJG0YOxW/uef53CCgb/6Nz/51I0b3f4qr/r0MyX9dj8/WPIxtFhwPbHMsMGI7OlnbLnfV6Fizai6OwkgE0w+nCjLy3GDBtZQZ1L0hmknmdimoLvOiJ5pCbzSFxopcYUyKZDlIkWwYo7HCj8pAruc6ls3A41Iwrj74vz4sCQkJDZObKgBdpXZyUwVcLr6HZD2MnF+kOiSy2VmFw4uMnC6ushkJArxTelhHuLOKb+LB/eafLxlxz14JJQMRLNak3zVbpgiLQ0/YncY6DIGB5DK1RlaPQv/8X0E5eXv8YMO/sM/+aWD5y8D6j/HXJ9/FRa+cgwsPnI4/XnEZMGU/XZW1NMH9JPOGtQoMm5YRGl7MmScCADVaDl+PzklGCK7bpTAHAxdjzZfvYN76R3Gy73VsrazE+vosbuzPIJ5yoXfKj1C92xlA6yxsL7S6hIREKTClqQKru6KUQ0xprhBey8illcmq9P7EyyHcLgVlXjdiqQwGEhnUhQr/PC/ksK/L027JdL/3mXMcozXB1G7JHlvAyndCfg/iqST7oB6bophL2xsGkhkMJNJoqLAvzrIU2vjd6PZ7X4UFDy1GPJW1zUmF2wPMOAzXvdeKZR0f4KSD/oH1336BbWpiwId3Ax/ejes/K0dPcBJ+cs4vEYlPtl5Ph3Kd2BhJpA05gn7IVDljoc3tUlDucyOazCASTw+aYBvmKAQWo6bch55oCj0D0klWDCmSDWMoioIpzRX4UMsTmdgYEp56IyEhUXqMrQsi5PdQQuGE4AJAhSaqkA0OTtst6bh1A3u3g1YJqyqb6GjsUo3cJn+eSGeRzmThsRkeEGYSn/iyvlhIfoizYsvipuJ3p7ETfAzBQ0PaXYZlE46H+7j9gEgH8MVjePvZy5FIx9GYWA48dTpUtw/XpKbjpiVVSPeMAxqnW67Lcj6RVgkeAcoyk0xbj7cKDIC6CnqjxgSXy5nW+S2w+GlcfeNtuOSplThplhdH/6AMKdWNxcHZuO+6OTj29F/CH6riPk4JCYnSY+aIKry0uJ3+3gmHINEJ+tbtfh2XEB3+E0tlLCMbeAptLJmhQ5FJRo414HXZcoIgFd7s91GW6Y7kzzsjSaY9tMCpZLPfDySNvxsj8EQ28BfaSsNL9O+l3OZ5tyLgQXvZeMz75cM4cadRwMrXgU8fhvrNQtz0WjvW9LVhduYj/HDWBGQ828ET3w9qZiYUt/m6heJjBjC4HMl5wTKcSo+Q34NoMoOwQWGUt7isRzV1o5fmuWE4QYZGDHPMnZBvgdh+bM3/9FgkJCQK4XIp2HZ0Nf39TuNqHa1Hqkv6ihAhudUOplsaEZ6wQBW43Oem+QdmxIx3sw/6SIspa7ulHRnV53+wjIW3X3coqqtBH+eaDC0DeSGHzZ3G0n4BzvfP2tpAHqyiyQwyWRUINQLzzsHfP+jAF4uewnFnXAjUT4aSSQKrP8ILz/wb++00E+q9+wJvXge0fUXHwResy9B+w/q+9bCeFJties9GqHFCcFNxvP7IDbjoyDlY+tutgFu2B179A3aqbIdLAXqUWvwu9WPslLgVp6UuwKFnXi4FMgmJ7xG2G53n9RMbQ6h3ENdAXKn98TRSmshC7iVBn5vrgZ6A3k+N3Oja8B+RdksrEYZn0l9+PRsnukDLHU8Gpy0vsShYDl6TzfUmPHWbYfgPd64pCy9hmMSZ505u266MoJ5DudzAhD2BI+9F5vyluPLSc3HUnNHYd0oItfE1+JnnX1D/cTJG1flx3UnzgSX/BhIR43VtPteooKBllekr0rpMQK57o0JbpRTJJIYzjthuBMp9bpR53fjhDqP/14cjISFRhB/PzWUntVQFsO/MZkdrEZGsW7fZiYbuwoZEkQd7nk1ZUZR8ldWE7JEqG2twP2uVkTWnRD+NMWIjvGWyKs1/YxHJWFslWKzz3PlhHGvGUzkXne1xMroJQxzTqVi/J/35oV9Xcbmw1e6Hou7QPwI//QA9P34dTyTmYGK9HwsmeKCsfQ/4z++BO+bjgOkVOG3BDKx/6Xagb31uXQbxkVwPPMH9FZToWwjOAgS3mj7Ypuh3ZkZws+k0Vn/0CvDeHcBDRwJXj8XVv7sYf/7n+/j3+98CLg8wYS/sfNbN2Lj8azz1SRvC25yMblTimO1H0X9LQkLi+4G5E+owRYtt+Mm8sbavt0J1uS8f4q3xhl6HjhIzwUhV1fyDPc8AFJ+1AJHOZGkQPZOg5TMX8fTgcaflc7l4ikKlm5jJ6nrj2ZezOq7DEtnAXRBkioFgd5Ix5dEFjPdkT3kljvvljXjs3dUo+9VyPDziN3g2sxNeWqlifV8GqbUfA48eD1wzDqm798e1Zx6A9566C2oqUXS8xp8BOUazieC2x2tQxBRpXSYg+3q3gUhW7WDwz3CAbLcc5hhTF8SiC3cHtPHtEhIS3y/sPb0Jiy7cHbXlPlRaZFCxoJZsdiXKFii3qAqKtFtCI0ORRNqWQLC6dAi5tHOSRZP2ZCx/jB70RlPMY7ztjpcnkws6cmUlQIY4iDgYq8D69zCQzKCqzLqOxtwaafNgI7Km3+OGz+1CMpPFQCJtfH4rCvorJ+GVCeejbOpFuPXcScCq14BvX8KaT17F8990QvlmMa7d7pfAO5cANeMw0DESUxcr8LoXANm5gMGURvqwwEFyrYP7xfNEiENUVXPXel3IT6/52gCAtR8Ca95BxxeLMO2CfyOayqL74gqUeXNPw8fMrkPT6Bpsf+wPgR+eC5TVwAOgUVv/miO2xqk7j8e0Fmet4BISEqWH26XgqZ/Ow7qeGM04dbIWCfHuHkiiocLv2FESNLn3R5MZmh3F125pLcLohZTStluSe35pnWSsjnzaZsqR62m7JocbnZXr8LRbqqpKC5FW54DVlPVBx8nh0mISHv0VeKtsTzyfmo7LbrkOZ615HtNcq4Ced4CelXjn7Tdw8QNRND/8Ajb88jJg9ByclBmJJ/rL0dsxEhhfN2jJPH/g5M4Wk0N5p8LrQdzovUVt1qqaRWrdF+jasBp1A98C+/w+57jbgiBFsi0AUhyTkPh+o1QDNYzaLUkblogLxIpEiAT3g5KoRMnaLcsZCSnPukFfTiRjXdPjUuD3mAtKrC0dxeuWciz6QMK+CuzzuOyFJ87jhO4cCTMcK28luHsgaTPpLL+et2EC0DAB2OEUNB3Sh4VTb8XX77+K6vEZYONnQM9KPPr013jx6zSuHHgZuPoaoGUbxOpm4tllKWw1Z09M3WlvLlcBy2dARVEBkczjdqEi4EE6HkF0xXuoS3yLjfc9jODT7yM4SgXW5q77BlVFwKMinlbwlXcWdtjnCGDi3vhx43T82CK3zON2YXprJfdxSUhI/HdQ7vM4FsgIaoM+KpJB14JVI+giNZtoTe7LLgUo48hKtnXpaKKLz+2Cz2JPpsenCQ+pjIpkOmv6d1gcT3RNgQxOu3X5WjjZ3Gk8vIS8xo7r8DjeoskMTTywbLckBUGLgU/0ODmiEMi/acdLyGdeVVWDfX9yce6Hqgp0LYfn6Xtx6OKH0eTqhZKOASsW4QQANzwVwQF3XIsXzpqEffbeE2jdFv2BUUhVjUMkXq0do5iTrPj7Sqbz7skKASdZTdAHZFOIfPcB8NUSqG1f4s/JV3Hr8x9h12uiuGk/P87dyQ/M+hHQNIN7/c0ZUiSTkJCQGCYgId5dOpGsM5KzgNeH+EmuFYkSdZKR15s5v/idZKyVYGJxL1GFUf8ZBDyWxI04qZKZrCURLz5WFnfaQMKeOLKuCY24JaPZErdGlv6hgbyme8D6wSHfDlu4nj9Uhf1P/RX2P/VXuR/E+4E172Hy8isxs/cjbDfSDST6gVVv4rM3F+Ho+6IYVXkD1pxfjZuVJizxNmPZXUGsLKvGfvvsg7EztgOqRgKBajo6Xo8Ki++LCs4Wn2MmmUDHqsWIbVqD8bUuoGc10PUdjvnDY+hZ2oF//zCAUU/m3mNzZwqLN8ZQrriAsmZg9FwoY+bijX1GY/T2+8AbKLf9bCUkJLY81AZ9WL5pgIpkm8Iaf2CYfmgEszgEfas+z3ARO2GHZ/8oft1AIg2fx5gncRVvGHIti9ct5fAb1mPlmZCtX9OS6zAKT9C9FzuhlKypqrn93Op9RRiKgQSsvMSwKKYoQP1EzD/lKsw/5arcwXUsAVa+gbcWPYv26IvIqllM9W0EPv878Pnf8Y+Pkzjj2TiOnFmGxw6biejAOOD1d/DvzztQ2zoes3feC4GG8bnpmwagkQ1F31dBBp3Z+1ZVIN6HDd99gcWffYgGdwTb1KeB7hXY/9uvccH1n+NaFbjs0goEPAp2dwFv1GXwlAtYl2kAdjgG8Gx5hhspkklISEgME9QVOcmyWZWSXZFAXytxh5CmSk4nGclhMMsQ43XplNNMEZvgXcaAXFhUv4vBGhDMSsSL17WqBLNMCtWDuTUy4EEPg4sOHBVrnocGvnYJL4CYZQsK88NNoBKYvADn3LorHrzyPzhHyWDZmeOgbPgM8ReexvZjXsKoYApQMxipbsBI9wZc+ngEH2/M4pnVT2LslFwF9411Hpz8dAQ7jqvGIz+bB5TVAmU1eOyFxZj6+UZsNX0SUm8th89fhpXrN+Hp1z9BT38CZ7c0Y9f2KuBFPy7/60v4amU7fnXAWGzXpAIDm/DMh2tx+KNRzBnpxrun5J2n69sGsL4/g2VdWUwf1wT/yG2hBCqxTyaMfQ48DDj5WCraTbD9RCUkJLZkFOeakoIb4Ra8MBN38kHjfM4Xu9Y7nmIYNKes3+NCIp3FQDJNC43FiHLwkiBHGyPrhE8a2cCQa8oskgWMBUwjsA8+EhDzfNbCW5nXDZeS4zqRRNryffHwhwrGTDYm7qgoQNN0oGk6/rl6DrxnnYWbtnVj5CwF2PAx0PYVNr6/CEAbRgYz2NG1FBhYiuyrz+PIP4WRzACrfh7CmGo3UFaDB78C7vuwD4ftNA4/P2Ie4C3HoV0RLPvgfXy6ogrh1MGoKPcBahYffvgNpr3/IcY0V8Pzn3eBRBjZWD8OvvIFdIdjWHjKCNRkO4F0HHe9FscVrydx+nZe3HlwGQBgnKoi4AFiaeA7z1SMmr49rv3ch2U7tiD8r1NRVjW4ZXRLgRTJJCQkJIYJCMEbSGYQT2Xyk/905JcHVuKOaNi4XUU0T0j4gvvZq4HsFUb7YQD22WHQiHjA60I8lXNomRHx/LGSz8D8AaLcm5sUqmrE0e6hgFnQ48gPY6+C596HUZbG4DXZ3GkoEN/M1+UVXcn5nFLdiNZMQ7B5K+yx3Qn48FdaNTbchjNu/DsaE6ux805vY8TaNkye2gyUdQPRLrT1xbC8M4kRwS5g+at03fueiODTtix+PmopfP95EQCw5NsUznskhtktLnx0eghYC2At8Mo7A3h7bQbHjunEdmrus2sN5SruGcULjJidc63VTcLVYzO4f3Eaf0xNgLL33jh6+1FYeP+HWDa5AydvtZWhq01CQkLCCFQki+TEsU7NSdbg0Ek2SCRz6EQ3C9rnjWsgx5hIJ20mGmt7cgmd6ODYn0Tc2Hbt+0Ph8BYJ2bfjkIqiIOj3IBxPI5JIo4npOHnETDaex+pOJJ9BumYclClTgCn7AgB+dyxwYW8nHnv+P/j5l59h/xExzK8dwJyJT2JdZwQtlT4AaSDWjW9WxfH60iS2rhoAPvkOALArgD1e60dWBX43+gNUhHJF64/fTOCF1xI4ZVsv8M57gDaV8Y0l/Ygkgc6NadTU5Y59YmMIM1qiaBo9FtjpEKB2PL5J1GNa1woER2+DmRcvwPsruvDQJ+9hbH35Fi2QQYpkEhISEsMHlQEPPC4F6ayKnmiSEtHqcq/Q+HZ9lbVY3Akzii7FsCNmPOPb9a+LWhAdVVW5RrizklweQhbyexBPJZkmXLKQMpcrNyk0NwQhA9hE0jDnhw1BWwerMw+6VgKe78mqtYP3oanM64bbpSCTVRGOpwe3WFS2YFFyGpKZKXjrvqswskbXupiKYe/Vi/HWDz+GT40BExuBWDcQ7cbRa/6Dui/WYknFGOw8eQwqPBmMDPbi2DVfw+Pz4R/pyZg9vhGTRrXgZ1iJY6NZbLPrHGDyZCDYgO2DTUje3gC3t1BgnQ/gycc+R/iTdbQ1qktrsa4TcI9KSEhsuaC5piVykpllaYXj2n1eKNPUqsjGH2BO2vat9maedksRN5WdoMUnPrEVmngG6rDv9UOUP0pEMptCm9h0S+t2Ux7uCF3RtN/gWIPV9eip3xZPZ0OoHDEG+x06E68fe3fuD7NZINoJDHTi+HkfY5svPsP4hgAwthpIRfHpio3YZesXEPICwa3nA+V+QHFjbGQVdu9ciuDYJmDevoCvAvBX4J7A1/CVV6Jpr72BlvFARTOO95bh+KJj8rSHsTH0BiqjuYJ6l4Puk+EGKZJJSEhIDBMoioKaoA+bwgl0RZLo1zZ/J5tdiFRZiwhkWHBqpv10Kj7nD8vko1gqP0mLh+Ta2fB5XE9BvwedkSQbIWWsspNJoSwTr1jbTSnJZVqT7ThZ2xrSmSziqWzBcbAcq9VnyvMdQbuGQn4P+mIpTbArzOFIaa3HMHrf3jLUTpyN+RNnD1r3kr1+i6ev+g9u7otj713nY+uR1dgawCMXAUff8S4uWdWNW7bfFpO2bsUx+ww+LqtHvqbK3PXd3h8HAHRGCMkVe7CVkJDYMkEC+smDcj7TVIxDmLl9CTfhjWuwE4t47/dgdE+zRguAgz9AwElWyjV5BurQQHyb4iWfi47HNc62Lo9DkVV4FHWjm31XpHW3vPhccrmAUCMQasT0BdMxfcEJBX/8xTursGq/g3HgVi2oOG47+vOmGe1Y6fkIoRFVwIKd6c+Pmct0uGiqynGc/ngasWSGXvN1kj+A31ogISEhIfG9RZ0uvL8r4qwKDAshopeIZOV8Ipl9uyWvSKY5yRiqwIqSzzBzcox0XY3os0wlDDJa+zNZFbEUXyA+T/aJbbtEgJ3kMleXGSvW+lw5FicAFd8sBD2eh5vidY2EQr1jkTX3hoDmyhSt26ddS9VlYtdps0Zy2/riUFXV8YOthITElgnyYEzcqJRDCD4wm0UX9ApO3SbrxVL5KAk9RNstYSOW8LqeoO1nqjr4GPUIcxTEYLPXFR8r+3RLnhgE1nbL0mWagoPrsIp5+mO1WjORziCVUQuOwQ4kZ8/su6LONEH+UCxq9gkWrOnx+j2UF7f1x3VFNskfpEgmISEhMYzQVJl7YG7vi6PD4WQqmBBIVVWFN+agjVjEmnPFuh70FUubgFi6JmN7IBF1WAQdM4Fk8Jr5P7d1aPEQUsaWAdqCYTMIAQItGPYBubk/97oV+D0MxJl89xYCKRVdOQgpJaMG3xX5HL1uxXZK6aDjHSKSS6/5/jgiiTQdBy8rwRISEjwg95K2/jiyWTU/3VLYSWa8RwnzB31OqsF9n3c6NhjFogHq/mFxOOeOMZNV6b3YCOlMlv4583RLjrgGq0xTCAparNEKXIU7hr2Z1Y1OeCBLG29Q95lmDQRXFPHeIEOBFTpeFjaZGkrWZDmXjI63uD20L+qMPyiKgubKfKGtU8Y1UAypSPanP/0J8+bNQ3l5Oaqrq5n+jqqquPzyy9Ha2oqysjLsvvvu+Prrr4fyMCUkJCSGDVqrcxNr1vfGsL4nBgAYof1MBEbtEgO6gQC87hcrAUpVVe6pmSxEjxJcRpLDG9xvR0bBI7xpf+5xKfDbiDBBDuLM29bB025pN7iAfYqUYFtDKaZbMh4vr4hrtG6pHhgJmnUPtht6cy2XlQEPt9NNQkJiywbhCht6Y+iMJJDMZOFS8m5VXgR9xnsUuedVct7z/B43vO5coctoLyX7lt2eVHiMZEK2FYdgHygU1N13rfa8AgFmSNot2ZxkpZxuqedjdi461uB+8LjROdxp5BxRVSCasp62HvC64GHM9bUriLI6/cyOt9jxKNrVoYe+0LaxN/fc0CJ4zQ8nDKlIlkwmcdRRR+Gss85i/jvXXHMNrr/+etxyyy348MMP0dzcjH322QfhcHgoD1VCQkJiWGBEdW5j29Abw4Ze5yKZETnr1UJ9fdrURh5YiVoDyXx2GGugL8l1MGu/AAfBYzlGPfL5F6VrFyBrBv32rjdWQYunZYCn3ZI1UyTfEmv+HUFAgOIRSHlELdIuETYI9BWd6goTh1oynaXttcIimUZmN4UTWNMdBQCM0A8UkJCQkGAAuZfEU1l8ub4P0B6gRQb/gCGuoVrgnmfl/CL3bHIP51vParolu+vJ5VJoQc5qbyJOI5/HZetKFmtjZBO0IiaOp8I1GYcBaPtiVgXd15wep/7ftctP4ymK+T0uuF3mgisEi2JWcQ3QcTyecxQF/KHISeawyAZ9ZEN/HOtKUFwfLhhSkeyKK67Aeeedh6222orp9aqq4sYbb8Svf/1rHH744Zg5cyYeeOABRKNRPPLII4Z/J5FIoL+/v+A/CQkJiS0VxEm2oS+G9ZpI1loCkUxPIvRVYJb2RaP1jMQisvm7XQrKvHzjtmGRS0YJLmcLp51Di8f5ZOYiKgYPKWNtt4xytAyYBS0XI5nOIpnRWkUYw3zBXK3nE8mshEeRIGerdkv6EMbgHixGpUaKyfWj/7Wi8Lkf9KgP+eF2KciqwGdrewAAI2skwZWQkOCD3+NGgxbP8MGqbsCxE91YgOp38GAftIhYIPdsnoEAQQZBi7fYwlIU49nveKZbhuNsvIRnTdb3X+Z1Q9OdGFojS8+feDgZGdIDC0GL190OhoEIZGgFrxuduC71/AElEsmadO2W5LlBcojvWSbZypUr0dbWhgULFtCf+f1+7LbbbnjnnXcM/85VV12Fqqoq+t+oUaP+i0csISEh8f0CbbfsiWFdj+YqcUJyDTKqaNC4gL3bKltD3yrBKr75PS5KyqImOVqsobMErK4vQoJ42gWs8rPASZxZg3fJ+/B77FsGePPDwPC5+j0ueGwqthBojWR7EGFrPdGDqd1SQNCqDuaulx7NiQndtVTh98Dl4hOcCdwuBa2ag/St77oAWQWWkJAQBOEQH6zsLvi9CMxiBpw82FtFF+SdZAKZZAwFHOYoAKZhACltTXYn+kDSvo2R5o/afAZc+WHUSWd9rIqi6FojS+kkI9956dYEQ6GNJzeNoNImuJ+syVsUq9H49kAyQydsw6HgTDCqNneNf7a2l/JoJ9f9cMH3SiRra2sDADQ1NRX8vKmpif5ZMS699FL09fXR/9auXftfOVYJCQmJ7yPG1gUBAKu6ouiJpqAowNh68dYrIyHCSVCoVWuDCMFVFMVWLBmqdkuRdgFWQYuHONtlihDSw1OxZq0Cs2R16L8jlmp9qUatg2NggdG6RtXliIBTgaBGm+RGJrtB/7DoIE8EACY3VgAAPl/bCwAYWyfbLSUkJPhB7h2frsndSyY0hITXCpmIO04KbdZudP5WNpa9ib+AY+9OoyHzDK5k8jmqqnkxkIC10Ebc0Ml0tkB0MUKUa3CBdSYXQV6AYhl8RCIQ7NbMD2ligf20dT53u/61sVQGqczgz1UkNw+a+EbqaL0GhTYnItkkjT98pvGH5soAAozdHMMZ3CLZ5ZdfDkVRLP/76KOPHB1UsYNAVVVTV4Hf70dlZWXBfxISEhJbKpoq/ajXTbUbWxd0FOBN2u/0OQilqAIbEdx+Qh44W9mC2vuLmohFvOILb9UyyDFu3G5NvlHz5LO0zhSJUILLPoWzlG2h+tdZkdy8oMXXalvq4H6rSjDNJBMI7ieV4EInWe7XTgguAExqqij4/bQWyYUkJCT4MbO1quD3U1sqTF9rB3LfzaqFbvReB4U2qz3KWXC/8d6sqip/u6XPXMgj4AmZD3jzjnnmQpsNLymYFGpbEOQotHFPomQRCfkGH7G3xRJ+a9duyS4Y6R18xcerH07Fm0nmcin0eukxKrQ54BCTmwqF8Omtkj8AADfLO+ecc/DDH/7Q8jVjx44VOpjm5mZAc5S1tLTQn3d0dAxyl0lISEhIDIaiKJjRWoXXl20CAMxwuNnVBHOCm9GmLBK6W2qCC4a2AV6hhNVNxdVuyRiyzzoxEhzCG4+Yx9tuWdr2E77Whvz3ZBG4LBC8SwU9A/ExLEhwAaC63PxaciqSbTUi/2CrKMA0SXIlJCQEMHNEleXveVDuc8PncSGZzqJnIImQ34NsVqW5TCIO2qDFpEMRAcLOSZZIZ5HWBs6wFJrAWGyKcBRciBs7HE8jnEij0eK1rOt63C74PS4k0llEEmnK9QzX5NjvWV3zPCIhCy/JZFU6LIBV1CICnW1wP8f55NUGWsVTWYTjabrvo2jAlFChLehDTzRlGNnghENUl/swsqaMhvbPlPwBEBHJ6uvrUV9fPyQHM27cODQ3N+Pll1/GtttuC2gTMl9//XVcffXVQ/JvSkhISAw37Dm1kYpke09zVmCo1YhTdyS/KfcKjm9H0aTDbFYtyGESnfqTX9OmGshg60cRybNyMotlapSmCgwOQSvKMbiA2/HGKmixtEYKi5nmTjqeB5Hida2C+0Uyyci1VNAq4cBRoceuk+vpw+hO42qpG05CQkKCB9uOrkZlwIP+eBpTmysc5RsqioK6oA8b++LoHkhiVG05wok0SOelk8gGo+JIv5NMMpu4BnDsdyx7s0jxLhxPW3IIvVDEskeF/B4k0knbIUVRxkwyFDjcS1doYylc6t8D62daYbNuhEPIKzxeL+KpxCAOQfiISwGdgMqDXGTDQMnbLQFg3xnNuPetlQCAvRw+NwwXiPfgMGDNmjXo7u7GmjVrkMlk8NlnnwEAJk6ciFAoZ+2bOnUqrrrqKhx22GFQFAW/+MUvcOWVV2LSpEmYNGkSrrzySpSXl+NHP/rRUB6qhISExLDBD3cchW/a+hH0eXDQ1i32f8ECtdRJVppNuXjSoV4QIwIEb95T0Ka1gXfCIXldOqsikc6aZjPwCDBWAwv0KDVxBOf7Z3eS8WV1MD00cApa5HXxVBbpTHZQNlo2q9IWGh5RyzK4X9DtCH275YD+Wsqt55TgVgS8uPbIrbHwy424aN+pjtaSkJDYchHwunHDMbPwyPtr8Iu9Jzter6ZcE8k0DkEKAwGvC34Pv1Bg1nqXzepb2UREMrO4htzPy7xuuBmHq9itCYHIAqZBNQVCEYOgFfCgayDJkB/GwSEYWk3BKRKyOPPIn3lcCvwetjQp1i4E7kmUAQ86I4lB6/brOA7vZHgURDbkrqFEOoN4Kpd7JlK01uOs3SegvT+OWaOqsc2oakdrDRcMqUh22WWX4YEHHqC/J+6wRYsWYffddwcALF26FH19ffQ1F198MWKxGM4++2z09PRgp512wksvvYSKCvGeeAkJCYktCX6PG1cdvnVJ1iJh410Dg90vIqG7fo8LbpeCTFbFQCJTJJKJtltaE9IoZ3i7vlo6kEgbimR6AaaU4hMPKRuKtobioGUzIkfcW6ziUwXDsYqKmdC++6ryQmKsf2AoVXA/PUcFWiVI20V/PE1FvT4Hrsxi/GDWCPxg1gjH60hISGzZ2GtaU8ncJHWhQjd6r5bDWF1m3t5nBbO9NLdn5X7N46TNZ5KZOMk4nNgEVMiznJgpVhSyEt7Iml63wiRABhkFLZ5jJfsnq2ueZS9lcaIToS/IIUCRgQD2Ihnf/pznEIUud9E8MoJ8ZIMmOGv8QVHEOIke9SE/bvnRdo7WGG4YUpHs/vvvx/3332/5muJRtoqi4PLLL8fll18+lIcmISEhIcEAQnB7BpJUNNkUSQDapsqL3IhwN/rj6UHEJD/dkrfdMkcGbdstGUmER5cpMZDIoM5guFc0lSeqXE4yVpGMpVWCMSCXEHWWAQ7FU7TMPjN+Qcu+BYNHzAMAn8dFWwwjyfSgfJuIQGUZNsH9TkiuPsOvL5ZCXciP7oHctVRnkQcjISEhsbmipujBvksTy+pCzkSy4r2UFDByAhH7/d7eScbfcjdU7ZawKzTFRdc0F970LZwsLYK808FLVWQUcX3ZDQTIf558jkczN7rIBHc9iJOMDL7o1orXteW+gugSidKAe7qlhISEhMSWA0Jw01mVWsW7NJFMlOSakSinTrJSBffrj9F0Te1Y3S4FAa/9Vsodsl9C4Y2nCsw6RYv3wYGnVYTne6KZIkaCFmltCPC1NuQzyQyC+0kmmUDV1uN20XObtEsQh2ZdkF9wlpCQkPi+g+aaavc6J0U2WEQXhHWZpiL3e7vwdhH+YO2c5uM7LIUm7qnTDK6vKGfWFx1SZLFmIp1BKqMyr6n/PIvNNQQDCb7QfugLjTbTLXk5KTnefpNMMhH+AL2TbKA0grOENaRIJiEhISFhioDXTdsRCMnt1DZmUZJrVgnuFw3u9xEnmbEAJRK+GjQh4sVrBn1uJkKuX8+M5KEg66s0E5/ASR7JFC3YkFyeiZlgbrfkJ5BWn4FongghxAPJ/CQqgrAgaSYgojMJ3t0U1h4YK6RIJiEhMfxQVySSlcpJVhzcL+rSIe4o/eRBPQY4XdOw4DiF6/KJb2xrimWFWu/1uTVZHdls+WH5745tGEBuzawK6morhoiYaceh6ARzznbLChM3umghmKCmaEJ2p0PBWcIaUiSTkJCQkLBEjY7kJtNZmoPgVCQrlRXd1kkmIL4FbYcB8K1Z3MZohjCH+ETWTGVUJNL2OSUs7ZZgFLTCggTfKiCYN6MFNo4/UZFM3+pq5lYQmW4JnauCkNu8k0xWgiUkJIYfagaJZLl7X4Owk8y4Rc6pEx0mkQ0iA4VYClhhwdbI0rZw2k/dzsc1sBUEWVzzhAcEvK5BA3eMkPu3tb9rM4W0VPxBf5y87ZZmk7ep6CaYSVbMHzqp4CxFsqGAFMkkJCQkJCyhrwSTXBG3SynIWOKBfbsEJ8nVxJ+oWTVQYF27ami+CsxGnvRtjEy5XAzHWjhgwEIk4x1cwNIayemoYslPE6nYW31PIqQZ2uALn0bczUa48wRD69FcGQAAtPcnkM2q9MGxQTrJJCQkhiGKnWSdDuMazJ3oWpGN0/VDhgnBZB8NCxTZ8uKT/b7MGrg+FLlcQR+7462kk6w5HVqKoiBECpdmrZGcPAcsPC8pxkkrTYb/OM0ka64i/CEOFDjJZJFtKCBFMgkJCQkJS+QrwQnaHlYbFA8KzWdrFLVLJESD+43bL+i6Ik4yu0BXzoqtvo2RLbzefl0yYMDqOCEgPvG4vv6XVXDYZIo4cX1VGEynSmeytNVDNFOEkNy2/jh6Yyna3lMrnWQSEhLDEIOcZAOliWsY7EQXEzTIMCGYxCuI5FAGmcQnvn2ZrY1RLJPMqt1S1J3Gkj8qFIFhwvOcZMeZvf98hpjodEvjIpvoJMqmytw10xHOFdk6w7LdcighRTIJCQkJCUs0ai6X9v4EDd110h5mN52Kp60BNoJWPJVBMpMFhLOuTAiZQAArT5gvL3EuJmN65PPD2AhpPpOrdMcZtHloUFVVyPnFkknGQ5oJqjSXZF80L5Lp/w3Rdssm4iTri9O2o+pyL7wMLScSEhISmxvy/CEOVVVpoU20Rcx+8A+/y9dqb+4XEN942i2ZBS2WNkZOhzsLJ4lq/14583F6bdcUyw/LvadwYvBAHQgIhLDgogRhzs+TgPKHWFG7pcPg/oaQHy4lN3G0cyChE5xlkW0oIFmZhISEhIQlWqvLAAAbemPY2Bsv+JkIjIiZqqpC2WHQt1saiDoFwkYJBS3eyVRgcFOJCEVmratGx8oraJkJhOAcMACGdstEOou05qriEaCsPlPaEioikpFR6zqSSwhv0OcWFrVIJbitP442rWWiUbZaSkhIDFMQrjCQzKA/lsaG3lju55qrlhdmjiInrWzlFgKUWLslS0GM73h52hhLOgyA0/XFMoWT14kOXY6XmUjIO7QAus/eyImeTGeRTOcKrLwtvHQKpRZPQkA4RHW5WFyDx+2irrH2vgTa+giHELuWJKwhRTIJCQkJCUuM0Eju+t4Y1vdGC34mAiOyF0mkqUjCSyCsyKO+cufmaA+1I49OJjGakbxYKgMyXKuU+R9kUEApiTNvpohtQK72c0UByr0cI9wtXIRhge+IoHgKZe7XhOCKV21JJllbfxzrenIPiyNryoXXk5CQkPg+I+B1U+f50vYwdWaJFtpINlUykxcxoCtoiAgQVnser5hVsF4yg6zBxMxUJot4is/hzhSyz1kY4opBYBz8wyQQCjnxifhm7CQTiVew+p70x8/rJKs2cKIDQG8sxyeqnHCIKj2H0Ph4jTgflzCHFMkkJCQkJCxRIJJpD/ZONmUjEkUEiIDXhQCHSIKCdkujKvDQTMwciupygVDE2BrJlx/G2oLhtl1TvK3Dun016PNwZd0Rkc4oUyQ/mYpfJCMPWj06kksewqoEB1YAQFNVvt2SElwHgrOEhITE9x2EL3y4qhvQ7q8i92UU7TmFHCInQNQICBDWmWTirnEAiKYG73n642YVdYbCScYikkVFM01LOGCg8FjNMslSXMdZ/O8Xf/fkGFkncOpBcviKnWS00OaEQ2iFtu86IlRwlhxiaCBFMgkJCQkJSxCCu6E3hvWkVcKJk8w3WNTKkwd+gkuEKisnGa9IZle1JYSMz0lm3YZAg3x9HqZR62Cs2hLyF2StBDNNouQjuXribFRZFyHNsMmj453AqQc5D3v1IplGeJ2IZK1V+dajL9b1AQBGyiqwhITEMAa5732wMieSOXmo97hd8Htyj68Rg0KbiJOswiRoHQVZqezr6qdZG7qc43kBhrV1n2fwD79rvIQ5Z9pnmcqoSKStWyP5MskYIzA41vR7XPBoX1Tx58rrltejWpdJpuc7Ttstobt23lneCQCocSA4S1hDimQSEhISEpZorgrA7VIQT2Xx4aoeAMDYOvEWMZItoXf/kIqbCHmo1Ik66Uy24M9EJlOBI7i/lGG+eecTT7uh9ZppgbYOOzKayarcLZx2lXXRSZRWmSKiwhs04omidstSENwynxujanMk981vcyRXtltKSEgMZ5BCwOvLNgEAxtYFHa1XYVDI6XHQDk8EsP744FY+yiE49ia7adYiAgzP4B/2vb70+WFBXTHOND9MYLol5TomDneRFk5FUej3Wvy5iuTOEpBzMKsWCq9OisEEExtDgOQP/xVIkUxCQkJCwhJ+jxsTG0L094oCTGqsEF6PCBA9A3kBosdBq4S+5dF8LDznCO8hyCRjHwbAfqx2leCBZP7n5bytkSbDAPQ/Z33/Aa+LZsIZ576ItUaS1xu1W4adtFsatEs4cSroMbno2pnWIn4tSUhISHzfMb21suD3U5qd3fNoMPqA/v5MOIRAoU1z/vTHSulGt8o5Ey+yWbu+MlzrVjBMoiQcIsjoRHe7FJR5rSMbRPZ71lxT3kJb0GfsIuR10Onh87hoxwThEPFUBjGtQFjlgENMbpL84b8FKZJJSEhISNhi5ogq+utx9UGUMWZmGaFWEyC6B0rj0vF5XJSUFZNcUYIb9FkLRf0OQmJtSV4Jw2zJxE+vW4Hfw5hzZkIaCQihdrsU2vZiB0VRKGk0Wld0EqXVgwitVgu1WxInmb7dkmSSORu3PlVHast9boxx6KqQkJCQ+D5jKx1/AIBpLZWmr2UB5RBGRQyB+7O1k0ys0GbpJBMJrjcZWFC4Ll8uFxGAoskMMgYxCBCcRMnqmhcZfFRK/gQdNywWH0WOUQ8i5JIs037t/y5FbOI2wZSmCujTOKY7vJYkzCFFMgkJCQkJW8wZX0t/veukBkdrGYlkPQPOJgcSolNMcoeC4EJ4OpOdk4x/yABp1zBrCxUbtW59nPqsL9bsNOi+g1JOorSqLtOWWEfTLfXB/eItwXrsObWR/nrehDquqasSEhISmxvGN4Tovo8iPiGC2vJCDqF36VQHRZxkxoWheCqDpBbhIDr8x3CgkNB0bOOBBXrwt1uaB9cX/1s8rZFUeLJdk/39V9jwElFRK8/1Crmjk0wyFAz/yZ2j+sE/PMOJilFV7sV2o2vo73d2yMclzCFFMgkJCQkJWxy8TSt2HFuLcfVBnLrLOEdrEbIcS2UQ06z8PQ5aJaBvlxgkkuV+X1nCVgkItkvwTHhkhVVwPXTiGc+adscZFiaj5vknEcFMMitBT7SFEzqCS4Qx6Ma5O5lMBQDbjqrB/jObMbKmDOfuNcnRWhISEhLfd7hdCn51wDRUlXlx8X5TuItWxagN5ThEVyR3fyZOdLdLESqKkOMhbh8C/V4V4thDYTP8R2S/87hdCHgHDywwWpeVl/g9Lnjd5jEI0Ald5QK8xHQ6uEBrZNBnXhDLZFXaFsrNIUzyZ/Oim1jXRL7QpolkDjLzivHzvSahNujDyfPH0YwyidJDjkOQkJCQkLBFwOvGY2fOLclaIb8HPrcLyUwW3dEkRvjKHIeiExGsZO2W/sETOPUQqTLaudNEiKOdmBcVyNUYqrYG6yBjwQELJq2hqqrSc0pkGmW+CpyCqqpQFIVWgp06yVwuBbcfP9vRGhISEhKbE46cPRJHzh5ZkrXqitzodPBPmZfL3UxQaeNED/k93O6foIWoQ13jAs7peCpp6NAqEIoY1yUDBnqjqZwoVDX4NYQDcbneyHsvYci+FX8QyUmlr6fDfwq/eyf8AbrcMSKOlWI6NsGukxvwyW/3cbyOhDWkk0xCQkJC4r8KRVFQo7VEdEeKSK5glc3MSSYq6OjD61V1cFaHSCXYqrIMh8TRKLgewgG51lVg0bYGyyBjwTWJ+JlIZ5HSTTaNpTJIZXLfmwgpJVXgZDpL23hISHQpKsESEhISEmIg92eSSZaPa3DoRI8ZO9FFJhwy7XfCLZw2QlGJHFoQjGywbY0UcOJbrUl+lste5ZM2QjR/trAgSrikqKhVoyu0oQTdEhL/fUiRTEJCQkLiv47aoB8A0DWQAABsCuf+3xDyC61XadIu0U9JrlgmmarmQm31SKTzOSVDETzL1cJpQ0ajnJOpoHPHDSSMBUIRxxvs8sMSYq0SBZkqunVJFdjjUlAuMGSi3OembSiE5NJztELsHJWQkJCQcI46rd2SFNk2RXL35nqn/KHI+STqRIeNoCWawRm0GKpDhDef28U8pAewj1fIt1sOhRtdwIlv8d6Dfr6cVOg4R/FnSjhEpaBIRgZIEAeZ5A+bH6RIJiEhISHxX0dxu0SHQwJBgndLRXLLfW46QaiY5OpJ2v96OhNrdhpfu2XutemsioTBFC2nTrJStlt63S5aOdavS9puKwXbbxRFoQ9cm8IJxJIZ+mAjSa6EhITE/w7Fw3+cChCUP5g6yfiFkvx+P1h8Es7gtBC0IqLFq4A1LxFqt2TMXxWJljA6TlHRERZiplORrF4Tcsm5KUWyzQ9SJJOQkJCQ+K+jRkdyM1kVXVoluFGU5GokNmwS3M9LchVFMW1DIL8v97m5JhPaCloCxNHsGAmExrfrXGfGgpZozpt9yL4Iya0wIPlO80QAoKkyAABo74+jUzs//R6Xo/HtEhISEhLOUNxu2RGOAwAaKwJC6xEhJJHOIpHOCzv9DpxklsH9ZA8VHH5j6E6L8xfEYFO8U1U17yTjWDcvaKUG/ZmoEz8fgZEZ5HAXLdxB9x0Uv3+nHKK5KncutvXnzk3idhTtlpD470OKZBISEhIS/3XonWRdAwlkVcClAHWi7RI0U8SY6IhklZiF94tPd7SprjpwkpmKZALtli6XgqDPnIyLjG8vOFaLdolSVYKdVoEBoFknkumdjiLONAkJCQmJ0oC0W/YMJJHNqtjU78ylE/J5qHNc33bnZKIxFZ8MQvZFXV+W4fUCLYywEfNiqQyIHiXGSwZzHT3/4XOn5Y4zk1URTxU63EULd7D4TImrsFJwEistsvXlRLLOcE7QrZdOss0GUiSTkJCQkPivg5DZ9v4EtaHXBv1cziw9KgymU6mqqhu77aRdwthJJtoqkcxkkTRqY3SQSRZPZZHODF5TxEkGGzIeFiXjAXPiLJpzBt3n1adrlSmNkyx3jrb1xWWrhISEhMT3BHVBPxQlFwnQHU1Sl46oE93lUqijSN9y2RsTH9ZimUkWF9tDrcLrRd1p1jEIuZ8pClDm5c8ksxpawOvED1o43EvhRO+LFU+3zK0pyiGISNYRTuSEXOkk2+wgRTIJCQkJif86RlSXAQDW90apS0eU4MIkuD+SSCOdzZVBawRI7v+3d+/Bcdb1/sDfz+5mN5tkc2+ySZuk6YW2tMXeoFAKtCg9IHZ+eBwU8AKjclCoGjtqARWKI+20yGUOlUI9DvXGyMzRKj+VIx2RVkQPpRLFoi21V5qmSXPZ3Vx2N7v7nD/2+T777HZ3SZ7vk2w2+37NZMymyddv24Tn08/38/18Ml2PFEHemK9KGBrfZp/wOJZmtoY1w1l6n4zxCkbW3ieSk7nSXcEwW50Gw9+tmHAGq5JkFaKSLMQAl4hoknA6bHq8cKZvGF2SlWQwtGQw9jXtkzhkyzrdUrJxf9rqNOnncpY1nWNriJ9tQnbAZP9RY4X7BUmyoLnDQBj624kG+9AOWEUsWWFyGmW86jyeyO0ZDPOgLQ8xSUZERBOuUUuSdfQHcbY/Xo4uKnfM0K9bGgJcUUXmcthQPIZTUKFUHw1uTSWZw25DcdGFTeYFM81nXY7EFMZsAanZ6Z7pElpmT6w9o0m8ySTJDEGuft3SRGWaYLxu2dE/HP9YhbmeN0REZJ3EQdswOnzx/z6L6h0zEi0bDIctVly3zPK8s7Kvp9nm9aNJ5pndZ9bEm5k+bxkq6WSuW4oEqEiIQqvMF33TzB60Fdlt+vCfd84F9D3KfI/SxBrXJNnDDz+MVatWoaSkBJWVlaP6mjvuuAOKoiS9XX755eO5TSIimmDTq+IB7lnfME70DAIAWmpKTa8nkiH+NFfuzFSRIUugF9CTRBKny1lOgi0NnE2uma2niNUn1tGYqlfBmQmcq7Qgt98Q5PotbNzf6Q/iVO8QAKC5usT0ekREZA1x0PZ2h19/zsn897k8TcsGmeuWo2ncPy59PS1MaCXih7H2ObP+Wmi2vcpct0xUoof1gQAidrQbqtfMEAdtr5/oBQDUlrlMVbtRboxrkiwcDuPmm2/G5z//+TF93fXXX4+zZ8/qb7/5zW/GbY9ERDTx6j3x/mMjURVvaAGEVICrV5IlAlxRWWTmqgSyBLkyJ6GlGYLcSDSG4ZFo0ueMfp/WB7njcWJdmuEKhvG1qSC3NHnSGSxKkjVVxb8fT/UO4Xh3PJHLJBkRUe6Jg7bX/nUe0No1uCUSGiKGMPamElf4ZXqapj5DYzHVggqtNIdXomrcwkoyMR3cbP/VrAlCUxND08dP+j5NHFyKJFnE8Pci4sjy4rFdM03VVB3/Ht1/pBsA0Ky9pvwwrunMhx56CACwe/fuMX2dy+WC1+sd1eeGQiGEQiH9td/vH+MuiYhoojnsNjRWFuN07zD+cqofANBSYz4BIQKdQDCCkWgMRXabVNN+ZAlIRRBtapKSM31Cy9hPbKwj3LOdLieCx7EGufaMa4pgfKxBrqi8Sw2cRULL7LVY8Xffn+a6pUySbEaVG8VFNgRHYnj7bDy2aJb4HiUiImuIQwwr4gdkqEhOTMc20bg/w7PeOD1z7FVf712dZuUhm1+yuj3bwZ2ZA7FMlfiJ5/3Y13Q77fpzvn9oBJ7iIkviBwCYU+cB0Gn4HjV/W4Im3qTsSfbKK6+grq4OF110Ee688050dXVl/NytW7eioqJCf2tqaprQvRIRkTkLGyqSXs+pKzO9VqW7CGJQUt9gPFkikiaVbnPXLTOdhsoEUJka4otg0umwweUYW6JoPK5bjqanyJgHF2RIvMkGpHol2WAiSdZvQZBrsylJ35MOm4KZDHKJiHJu0XTr4gdo07UBoGcg8RzRq9ElnvWhSPLkafG8cxfZx/ysz9auwWzyaXS908xdt8w2MdPMtUPxNYFMMYTJA9HqkuQYQiRKZZNkc1O+J2W/R2liTbok2Q033ICf/OQnePnll/Hoo4/iwIEDuPbaa5OqxYzuu+8++Hw+/e306dMTvmciIhq7xTMSQW51qVPqKpvNpugVRT0pgY5sJVmmyidzzXyzX+E006djNNcty8ca5I5i1PyYr2AUJwJ80fsDViTJ0lQA9GjTKGskp1Fe3FCeeL+x3FSlGxERWWu+1wOHLXEVbmlzldR6NfphS/zZEYpEMaRVeJvpa2pMAhkPxaw4ZMuWfLLyaqRsT9PgSHKC0Pj/YybW8YzDwSUMlYIiKWpV/LCwsTzp9dKm0fVnp8lhzEmyzZs3X9BYP/XtjTfeML2hj33sY7jxxhuxaNEirF+/Hi+++CKOHDmCX//612k/3+Vyoby8POmNiIgmv6vm1ia9L9P7AQBqyrQkmXYSLKYVmT1dzFRNJZr5mlm3TEtWXdiXy9wVRmQJco19zsYcOGeY7BmKRDESjSe4zF7riKnQ9wVLkmQXVpKJRKn4njDrAwvq9feN369ERJQ7xUV2XDqzWn995Ry5/z7r8YP27BCTLRXFXGsFp8MGp12bZm14jiaGAVjX5wwSB22j6Uk29qpxQ4IwnFyhFrCgp6vVSbLq0pQkmYgfSuXih9baUv0asMthw5JmJsnyyZi/Qzds2IBbbrkl6+fMnDlTZk9JGhoa0NLSgnfeeceyNYmIKPcumVGJz6+ZjQPHe/GVdfOk1xOBTo92Eiz+d5rJ08BMjfvlToLTrynTp2M0DfHNXrdMvdZgvCpZ6hzbmu4iO2xKPEk2EIygRPt6q65b9g+NQFVVhKMxfd+1pXInwe9fUI+Pr2zG6b5hfHb1LKm1iIjIOl+/cQG+8Yu/48bFDZheKdcUXY8ftEO28wOJRInNZu4Ar9RlR3golvS8F8+7cgvbNUCikixTGwTjmmONH0SCMByNYSAUSXq2JyZRmjlk1OKS1JhM8nqkSFiKQQ3ie0C2kkxRFGz998V45LeH8akrWvSYh/LDmP+2amtrUVs7caepPT09OH36NBoaGibs/5OIiCbGpuvnW7ZWjZYQERVF3QEtSeYxF+iUZghIE0kdiWa+4fQJLZk+Hak9RUSiqLjIhiL72ArHM50u6/t02mEf4z8cFEXRm+L6gyOo08ajW3XdMhyNYTAc1U+/HTYF5SYa+RrZbQoe/vBiqTWIiMh6i6ZX4Bf3XGnJWhfED9qVu1qJREmpy4G+oZGkAyufVLuGRIV3LKYmJe/E895shbdog2Cs6Dc7HRsZEoSQnA4uknXGCaSxmKonzcwkHmGoRk9Ukom/e7lKMgBYNbsWe+5mFXo+GteeZKdOnUJ7eztOnTqFaDSK9vZ2tLe3Y2BgQP+c+fPnY8+ePQCAgYEBfOUrX8Gf/vQnnDhxAq+88grWr1+P2tpafPjDHx7PrRIRUZ5LvW7ZFZCrJBN9vMQ4cEGmqaue0Eo5tfUPm+sdhix9OvwSY9ETPcmsuyoBQ0Krd/DCCWJmA1x3UXw6FbReIolTYKf0FV4iIpr6EtctQ1BVVfqQDcYYwpDUkYkfREJLVYGhkeRns3jem+0/mtoGAUkxhIk2EMUZpnuGzF3hRNIk68SfZyAYgWhxKnvdUlQPihiiWvK6JeW3ca37e+CBB/CDH/xAf7106VIAwO9//3usWbMGAHD48GH4fD4AgN1ux1tvvYUf/vCH6O/vR0NDA9auXYvnn38eHo9nPLdKRER5LnHd0ppKsuo0UxOjMVVPFMlNt7TuCmemPh0DetN+meq09Ps0OzG0ssQJ9AzpJ7awoJJMURTUlxfjZM8QzvlDeqBfLXnVkoiICoN43o9E45VJViTJUntdwZAwM/O8Ky6y6S0LBkMRPZ6QiUsytUGARON+GKrmrYx1Uiu+jOsVF419MrhQr1W1d/mDAIDzFjXup/w2rkmy3bt3Y/fu3Vk/xzjhyu1247e//e14bomIiKYoEdD0DIQQikT14MlskFtpmJooriEEDFVlUpVkKRVa+jAAiTVT+3TIBLhlGfqcyY5Gr9b7h1mXJIMW5J7sGUKnP4iRSHyalmzTXSIiKgzFRXaUuRwYCEVwPhCyJEmW2usKxoMmE437FUVBqcuBQDCCgVAEYqyMTFyiKApKnQ4EQvE16wy/luhJJjGJM5g+SWamcjzdJGsr4gdvRfzvuFNLklnVuJ/y27hetyQiIpooXu008KwvqJfNO+026YSO6HUFQ3BW4rTD6Rj7I7Q0Q+N+mdPlTNVp+rUGU/1Esp8Cm70aqf+jwRDkyvzeBfF3f84X1ANdb0Wx6fWIiKiw1JdryRJfUO9JZrZdAzJUkskeNKV73svHJZnaK4gYwrrrljK//6p0lXlBaw7ZoP29hyMxvZKMMURhY5KMiIimBDHd6kz/MM5piZJpHpfpvlTuokTA2SfGwks03UVKk1wjmdPljEkyiYmZZRmq0+Sb7Ft7/UQQwWynP4gz/cMAgEbJaWdERFQ4pleVAADe7UvEEGLAjBmVWa4Hmj1oKkvTCkH2uZyxf5jMdcs0+zReCzUT64iv8Q2PIBpT9fdh0SFbz2AYp3oHoarxCZ2sJCtsTJIREdGUML0qnhTpHQzjSGcg6WNmKIqC6pQgdzwCXFjUk8zK65bi9xeOxBA0NPO1ahJl32Ca65YmgmZBPwn2B9GhJcmmV/IUmIiIRkcctL3bP4zTvUMAgBkSMUR11uuW5hIw6aq+ZJ/L6RJakWgMQ1oFvZlq9MTQgsSasu0qRC9UVU38nq1IklWXOuHUJoC/eaof0L4XOPinsDFJRkREU0KFu0hPCP3pWA8AoKW6RGrN1OuBIlkmHYxm6NNh5XVLf9D8dUuPywGHNl7eyv4fiZP1xJpiMILZ6jwAaNQqyd7tHdKTZKwkIyKi0RIJsWPdA/q1fZkYIt31wH7JGCJx0GbdhOiyNG0gjAkzM9Xo+oFYmiq6EqcdRfaxpyCcDps+FVOsK+KHCpPDhKAdiDZoh2qvH+8FADTykK3gMUlGRERThjgJ/uPReJKsWTJJpvcUGUweDV5rspmvCIz9hhNVSAa54qpEaj8Rv2SD4Mo0Qa7MmkjTuD8cicGvJQxrJXq/zKkrAwC80zWAU1oFwHQmyYiIaJTEM+PPx3qhqvHkULXElTvRXkAkclRVxXnt/doyc+uWu+PPe2OFlvR1yzSVZOJwrNRknzPxe7d6SE9lqWjenxqTyV2NnD0tHkP8/nAXAGBGpVzsSPmPSTIiIpoyRKAjGq8218gFOqk9tHoG4+vWmgycxclycCSG4bDhuoREM1t9GEA4glgsMTFaXPEwm9BK109FZgon0lTmiX88OGyKVODcUlMKu03BUDiK4EgMLocNLTWlptcjIqLCMmta/Jmhxw/VJVJX7hKJovjzLhCKIKxNXzZ7KJSaeIOF1y2ThgFIXgtNN6THiiSZHpNp8U0iJjN/yAbDQZsY+nSR1yO1HuU/JsmIiGjKuGRGRcrrSqn1qkqTe2idD4hTYHMBWanTrve+6NWST9GYqvcTk7luqarAkKF/mGxCazzGraeeLot/jFSXOmGzmf/HiNNhw0xDQnRufRnsEusREVFhme8t15/PSBNPjJWIH3qHwlBVVa96KnM5UFxkN7VmuomZfsmBQuIKYyBorCSTjR8urCQTsYTZa6FIc3hnVSXZXC1JJsyrZ5Ks0DFJRkREU8aSpkRSrKqkKClxYkZVSg8tkdQxe90y6RqjlngLBEegagVgZgJSd1Ei8ZYuIK0yeRIsenxYOZlLTIvqHQwjGlP1P88aiauWwhWza/T3V7RUS69HRESFw+mw4eLGcv31suYqqfXEszcciWF4JJqIH0xetUSamAQWHF5VaGuKdWCMH0qtqRq3Yp8wxBCi4kuPISQryS6fVZP0ekmz3AEr5T8myYiIaMpY3lKll83felmz9HQiEZB1B+KBmOgnIjMaPPUkWASO7iJzvT8URTH0TrswyDV73TJtJZnEtVBoyTCbAsRUoGcglDgFlvhHg/CRZTNgUwC7TcG/L5suvR4RERWWWy9rArTn5r8t8kqtVeK0o7go/kzvDoRwPiB/KJRa3Q7DM9rshGgxhbM3aU0xUMfsdcvMh2wySbK68vifXVcgPlihR8RkkjFEU3UJVmkHbf9vSaOpYQU0tfA7gIiIpgyH3Yaf/sfleOtdH66aWyu9nrci3shXTLoSQa7ZSjKk6SnSL5l4gtbrrNMf1K9wwnDd0myQW5UytCAmeS0UiCewpnlcOOcPodMf1PuJyCQdhaXNVfj/X1gNBUpSNQAREdFofHRFE6ZXlqClpkTqmQztAMtbXowTPUPo9AUtrSRLSmjJtlYoTbemXOJNHLIFghFEojE47Db9WqjMn6u3PD518pw/iFhM1fcsM/hH+N6nVuB/j/dg1Wz52JHyH5NkREQ0pdSWubB2fp0la3kr4gFZpy8Yn0ylBbnTJAKy1ImZvRachFannC4HR+IN7GGYBjVWqdcl+obC+rXQKpOBM7Qg95w/hE5fEF1+8Y8G+QAXABY2yvWQISKiwqUoClZbcMAmeCu0JJk/iO4B+YROup5kegxh8sphujUT7RpMXuE0JML6h0dQW+bSq75kJobW60myEHqH4m0bFEVuTaHU5cC18+ul16GpgdctiYiIMmjQkmTdAyF0B0IIRWJQlESgZkZq8ql7QD5RlHq6LK412G2K3pTX7Jq+YTHZM6x9vAgOu/nwoc5wEtzhGwYANFa6Ta9HREQ0GYnKp05fEB398s+7dJVk5yWb16etTpO8bumw21Be7Ehaq8eCSrr6NH+edR4XiiRiEqJ0+B1FRESUQW2ZC3abgmhMxZun+wEA9Z5iU73DhNRTW9GXS66SLHnNPsNkKrN92apSknn6VVPJqi+v4ST4TF88yJ1exSQZERFNLaJlw1lfEO/2DQEApsskybRnfSgSw3A4ikg0pj/vragkU7Vy8T7JPmfGvfbrg4/kK+lEdX9XIIh3RfzAQzYaB0ySERERZWC3KajT+o8dPNkHWJDQST217RmHSjK9ab9Mn7OUNbv1SZRy1xpEkHumfxhn+hnkEhHR1CSq0c/6DM87iRii1JmYZt07FEbfUHw6tqKYvxopnvUjURUDWt9R0ZPMihjigkmUErHONG34z0hURbt2cMlKdBoPTJIRERFl0VRdAgD4wzvnAQsSOtUpTXKtaOY7HtVp4lpDlza0oMeCU2AAmFVbCgA41OHTg2cmyYiIaKppqo4/2/7VPYiz/fFnqczzTlEUfcJl70BYjx+qS5ym2yC4nXa4i+yAYUJ2jwUJrXptEmV3IN7T1Ypp1k6HTY/J9h/pBliJTuOESTIiIqIsLqovAwD846wfANCqJXnMmuYRgWM8CO2RbLqLNNOpurXx6NMkpnCKUeuD4SgGQhFDMk8uSTanLv7neeTcAKAl+ColrnQQERFNRnPrPACAo10DiMRUuIvsUj1NYYwhBoKWHIjBeHinXbkU8UmdRAxhbLLvD0YQjsaHCcnGELOnxWOIf3YGkl4TWYlJMiIioizm1XuSXi9oKJdazzgxE4ZkmVRPshIxMTN5GIDMFM4SpwMerfHuOX/QklNgAGipKYXdluiTNq/eY7pvGhER0WQ1vdKNUqddfz3P60l6/pnhLY9XTnX0BxOVZJLTHasME7IDoQhCEfmEVr1hSI+oTCtzOVBcZH+Pr8xOHLQJ872ejJ9LZBaTZERERFksnlGZ8rpCaj3RuD4QiiAQHMFZLVnWUGH+yoAIkEXA3OXXToElT6yNQW6ndu2yziO3ptNhw+LpiT/DSyT/PImIiCYjm03BIoufdw2GgzYxIVomfgCA6lJRnRbSD+48LgfcTvMJLVGFdi4QMsQPclVkALCsORGTOe02XFTPJBlZj0kyIiKiLC6ZXqH3EFk0vVy6f1apy6GPRj/aNQCf1iC3sdJ88klUp/UMhhGKRC2pJIOhp8g5v2EylwX9P9YtrDe875Vej4iIaDL64OIG/f1/s+B559WHAQTRYdHwG6941vuC+iHbtHLZ+CHR1/RdCydZXzmnFiVa8u6aedOkK9OI0nHkegNERESTmc2m4D9vXYr/Pnga/3H1bEvWbKx0w98Z0Cdmlhc74CmWmSJVBJfDhlAkhnO+xEmwTE8yAKjXqsY6+oOWTqL8zOpWBIIRNFWVYHlLlfR6REREk9EtlzWh0x9EQ0UxVs2ukV5PHKh1+of1SZeyySdRidbhC1p4yJZI5p3RkmQzLEiSeYqLsOuTK/A/h87iC9fOlV6PKB0myYiIiN7D8pYqS5M53opi/LMzgAMnegEA06tKpNZTFAWNlW4cPz+IDt8wuixKkjXXxPf1l5N9CI7Ee5Q0SFS8CS6HHZuuny+9DhER0WRm9fNO9CQ70zcMp0NLkkkeXonE21nfsD7RWjZ+EJM9fcMj+PsZnyX7FFbPrcXqubWWrEWUDq9bEhERTbBZtfHGsy+9fQ4A0GTB6aroU3Kse1CvJJM9tZ2lTY16+XAXoF2/dDl4tYGIiCgXZk+LT9g+0TOkT4luqpY7aBOVZJ2+IE73xlsrzJA8vCtxOtCoxSUihpBdk2iiMElGREQ0weZ548knVY2/ni85MROGPiX/e7wH0K5wVpbITbyaVRsPxvV9euX3SUREROZM87hQVZJoz1BcZEOzZJJMVJJ19A/jpJYka6mRT2jNrkuNddhkn/IDk2REREQTbF5KsmmBBSPMRZC870g3AKClplR6zTl1ZXrPEwBYYEEyj4iIiMxRFAXzDDHDvHoP7DZFas3plSVQFMAfjODNU/0AgBbJxBtSYgan3YbZWnU60WQ3bkmyEydO4DOf+QxaW1vhdrsxe/ZsPPjggwiHw1m/TlVVbN68GY2NjXC73VizZg0OHTo0XtskIiKacAsby/UJlwBw+Sz5Zr6iyqt/KD4t04pT4OIiOy5tTfRis6LpMBEREZl31dxp+vur5sj35nI77ZipHayJidsttfIHbasNe7u0tQpFdtbnUH4Yt+/Uf/7zn4jFYnjmmWdw6NAhPP7443j66adx//33Z/267du347HHHsOOHTtw4MABeL1eXHfddQgEAuO1VSIioglVZLfh7rVzAAB3rJqJqlK5a5EAcHFKldfi6RXSawLA56+ZA6fdhpWt1UySERER5djNy2dgmseF2jIXbrus2ZI15xuq06pLnXo/MRmrZtfg0plVcBfZ8blrrJkOTjQRFFUVt4TH3yOPPIKdO3fi2LFjaX9dVVU0Njaira0NmzZtAgCEQiHU19dj27ZtuOuuuy74mlAohFAopL/2+/1oamqCz+dDeTmvhRAR0eQVCI6gzOWAoshdlQCAWEzFyq2/05v2//fnrsCKmdUW7BIYDEXgLrLDJnmlg4iIiOQFR6JQFFg2TOe//nAM3/71PwAAH1hQj/+6fYUl60ZjKkKRKEqcjlF8NtH48vv9qKioeM9c0YTWPPp8PlRXZw7Yjx8/js7OTqxbt07/mMvlwjXXXIPXXnst7dds3boVFRUV+ltTU9O47J2IiMhqnuIiSxJkAGCzKbj9ihZAu865rLnqPb9mtEpdDibIiIiIJoniIrul06ZvWjpdbwPxSS2WsILdpjBBRnlnwr5j//Wvf+HJJ5/Eo48+mvFzOjs7AQD19fVJH6+vr8fJkyfTfs19992HjRs36q9FJRkREVGhuXvNHFzWWoN5Xg+TWkRERDQqtWUuvNh2NfoGw1hkUbsGonw15kqyzZs3Q1GUrG9vvPFG0td0dHTg+uuvx80334zPfvaz7/n/kXqqrqpqxpN2l8uF8vLypDciIqJCZLMpuKy1GhXuolF8NhEREVHc9Eo3E2REZirJNmzYgFtuuSXr58ycOVN/v6OjA2vXrsUVV1yBXbt2Zf06r9cLaBVlDQ0N+se7urouqC4jIiIiIiIiIiKyypiTZLW1taitHd2o2TNnzmDt2rVYvnw5nn32Wdhs2QvXWltb4fV6sXfvXixduhQAEA6HsW/fPmzbtm2sWyUiIiIiIiIiIhqVcWvc39HRgTVr1qCpqQnf+c530N3djc7OTr3vmDB//nzs2bMH0K5ZtrW1YcuWLdizZw/+/ve/44477kBJSQluu+228doqEREREREREREVuHFr3P/SSy/h6NGjOHr0KGbMmJH0a6qq6u8fPnwYPp9Pf/21r30Nw8PDuPvuu9HX14eVK1fipZdegsfjGa+tEhERERERERFRgVNUY8ZqCvD7/aioqIDP52MTfyIiIiIiIiKiAjfaXNG4XbckIiIiIiIiIiLKF0ySERERERERERFRwWOSjIiIiIiIiIiICh6TZEREREREREREVPCYJCMiIiIiIiIiooLnyPUGrCaGdfr9/lxvhYiIiIiIiIiIckzkiETOKJMplyQLBAIAgKamplxvhYiIiIiIiIiIJolAIICKioqMv66o75VGyzOxWAwdHR3weDxQFCXX27GE3+9HU1MTTp8+jfLy8lxvhyiv8eeJyBr8WSKyBn+WiKzDnycia0zFnyVVVREIBNDY2AibLXPnsSlXSWaz2TBjxoxcb2NclJeXT5lvUKJc488TkTX4s0RkDf4sEVmHP09E1phqP0vZKsgENu4nIiIiIiIiIqKCxyQZEREREREREREVPCbJ8oDL5cKDDz4Il8uV660Q5T3+PBFZgz9LRNbgzxKRdfjzRGSNQv5ZmnKN+4mIiIiIiIiIiMaKlWRERERERERERFTwmCQjIiIiIiIiIqKCxyQZEREREREREREVPCbJiIiIiIiIiIio4DFJRkREREREREREBY9Jsjzw1FNPobW1FcXFxVi+fDn+8Ic/5HpLRHll69atuPTSS+HxeFBXV4ebbroJhw8fzvW2iPLe1q1boSgK2tracr0Vorx05swZfOITn0BNTQ1KSkqwZMkSHDx4MNfbIsorkUgE3/jGN9Da2gq3241Zs2bhW9/6FmKxWK63RjTp7d+/H+vXr0djYyMURcEvfvGLpF9XVRWbN29GY2Mj3G431qxZg0OHDuVsvxOBSbJJ7vnnn0dbWxu+/vWv480338RVV12FG264AadOncr11ojyxr59+3DPPffgz3/+M/bu3YtIJIJ169ZhcHAw11sjylsHDhzArl27cMkll+R6K0R5qa+vD1deeSWKiorw4osv4u2338ajjz6KysrKXG+NKK9s27YNTz/9NHbs2IF//OMf2L59Ox555BE8+eSTud4a0aQ3ODiI973vfdixY0faX9++fTsee+wx7NixAwcOHIDX68V1112HQCAw4XudKIqqqmquN0GZrVy5EsuWLcPOnTv1jy1YsAA33XQTtm7dmtO9EeWr7u5u1NXVYd++fbj66qtzvR2ivDMwMIBly5bhqaeewre//W0sWbIETzzxRK63RZRX7r33Xvzxj3/kDQEiSR/60IdQX1+P73//+/rHPvKRj6CkpAQ/+tGPcro3onyiKAr27NmDm266CdCqyBobG9HW1oZNmzYBAEKhEOrr67Ft2zbcddddOd7x+GAl2SQWDodx8OBBrFu3Lunj69atw2uvvZazfRHlO5/PBwCorq7O9VaI8tI999yDG2+8ER/4wAdyvRWivPXCCy9gxYoVuPnmm1FXV4elS5fie9/7Xq63RZR3Vq9ejd/97nc4cuQIAOCvf/0rXn31VXzwgx/M9daI8trx48fR2dmZlI9wuVy45pprpnQ+wpHrDVBm58+fRzQaRX19fdLH6+vr0dnZmbN9EeUzVVWxceNGrF69GosWLcr1dojyzk9/+lP85S9/wYEDB3K9FaK8duzYMezcuRMbN27E/fffj9dffx1f/OIX4XK58KlPfSrX2yPKG5s2bYLP58P8+fNht9sRjUbx8MMP49Zbb8311ojymsg5pMtHnDx5Mke7Gn9MkuUBRVGSXquqesHHiGh0NmzYgL/97W949dVXc70Vorxz+vRpfOlLX8JLL72E4uLiXG+HKK/FYjGsWLECW7ZsAQAsXboUhw4dws6dO5kkIxqD559/Hj/+8Y/x3HPPYeHChWhvb0dbWxsaGxtx++2353p7RHmv0PIRTJJNYrW1tbDb7RdUjXV1dV2QzSWi9/aFL3wBL7zwAvbv348ZM2bkejtEeefgwYPo6urC8uXL9Y9Fo1Hs378fO3bsQCgUgt1uz+keifJFQ0MDLr744qSPLViwAD/72c9ytieifPTVr34V9957L2655RYAwOLFi3Hy5Els3bqVSTIiCV6vF9AqyhoaGvSPT/V8BHuSTWJOpxPLly/H3r17kz6+d+9erFq1Kmf7Iso3qqpiw4YN+PnPf46XX34Zra2tud4SUV56//vfj7feegvt7e3624oVK/Dxj38c7e3tTJARjcGVV16Jw4cPJ33syJEjaGlpydmeiPLR0NAQbLbkf9ba7XbEYrGc7YloKmhtbYXX603KR4TDYezbt29K5yNYSTbJbdy4EZ/85CexYsUKXHHFFdi1axdOnTqFz33uc7neGlHeuOeee/Dcc8/hl7/8JTwej16dWVFRAbfbnevtEeUNj8dzQS+/0tJS1NTUsMcf0Rh9+ctfxqpVq7BlyxZ89KMfxeuvv45du3Zh165dud4aUV5Zv349Hn74YTQ3N2PhwoV488038dhjj+HTn/50rrdGNOkNDAzg6NGj+uvjx4+jvb0d1dXVaG5uRltbG7Zs2YK5c+di7ty52LJlC0pKSnDbbbfldN/jSVFVVc31Jii7p556Ctu3b8fZs2exaNEiPP7447j66qtzvS2ivJHpzvyzzz6LO+64Y8L3QzSVrFmzBkuWLMETTzyR660Q5Z1f/epXuO+++/DOO++gtbUVGzduxJ133pnrbRHllUAggG9+85vYs2cPurq60NjYiFtvvRUPPPAAnE5nrrdHNKm98sorWLt27QUfv/3227F7926oqoqHHnoIzzzzDPr6+rBy5Up897vfndKHo0ySERERERERERFRwWNPMiIiIiIiIiIiKnhMkhERERERERERUcFjkoyIiIiIiIiIiAoek2RERERERERERFTwmCQjIiIiIiIiIqKCxyQZEREREREREREVPCbJiIiIiIiIiIio4DFJRkREREREREREBY9JMiIiIiIiIiIiKnhMkhERERERERERUcFjkoyIiIiIiIiIiAre/wFH2bYNq+O13QAAAABJRU5ErkJggg==", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "t, u, y = e.time(), e['f.u'], e['f.y4']\n", + "\n", + "fig = plt.figure(figsize=(15, 4))\n", + "ax = fig.add_subplot()\n", + "ax.plot(t, u, label='Noisy (0.2 Hz + 5Hz)')\n", + "ax.plot(t, y, label='Simulated, n=4')\n", + "ax.plot(*low_pass_natural(t, u, n=4), 'k:', label='SciPy, n=4')\n", + "ax.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "2f1845d7-191e-4bf1-a73c-56254267d0f6", + "metadata": {}, + "source": [ + "Looks exactly right." + ] + }, + { + "cell_type": "markdown", + "id": "f7bd8a04-1b26-4c78-888a-a968bc432eda", + "metadata": {}, + "source": [ + "#### Scalable filter with even number of poles\n", + "\n", + "Finally, we'll work out how to make this 4-pole filter scalable, and write the results in a way that extends to any even-numbered order low-pass Bessel filter.\n", + "\n", + "To do this, we add a scaling factor $\\alpha$ to every $s$\n", + "\\begin{align}\n", + "H_{2m}(s) &= \\prod_i^m \\frac{\\sigma_i^2 + \\omega_i^2}{(\\alpha s)^2 + 2 \\sigma_i (\\alpha s) + \\sigma_i^2 + \\omega_i^2} \\\\\n", + "\\end{align}\n", + "to find\n", + "\\begin{align}\n", + "\\ddot{y_i}(t) = \\frac{\\sigma_i^2 + \\omega_i^2}{\\alpha^2}(u(t) - y(t)) - \\frac{2\\sigma_i}{\\alpha}\\dot{y}(t)\n", + "\\end{align}\n", + "where\n", + "\\begin{align}\n", + "\\alpha = \\frac{\\omega_0}{2 \\pi f}\n", + "\\end{align}\n", + "where $\\omega_0$ is the unscaled cut-off frequency in rad/sec and where $f$ is the desired cut-off frequency in Hz." + ] + }, + { + "cell_type": "markdown", + "id": "64309f7d-b9d8-4ba3-b39d-14146a831ea2", + "metadata": {}, + "source": [ + "We can find $\\omega_0$ using SciPy and fmin:" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "a78c6470-0896-41ba-8117-c4aac389ce95", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2.114 rad/sec\n" + ] + } + ], + "source": [ + "print(f'{bessel_natural_cutoff(4):.5} rad/sec')" + ] + }, + { + "cell_type": "markdown", + "id": "c4cd77a7-153d-4130-84a9-c4c881418c86", + "metadata": {}, + "source": [ + "Let's try it in a model:" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "076c4a3f-1155-4062-bcf1-1f00e9b37a01", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "m = myokit.parse_model(\"\"\"\n", + "[[model]]\n", + "f.y1 = 0\n", + "f.y2 = 0\n", + "f.y3 = 0\n", + "f.y4 = 0\n", + "\n", + "[f]\n", + "t = 0 bind time\n", + "pi = 3.14159\n", + "u = sin(2 * pi * 5 * t) + sin(2 * pi * 50 * t)\n", + "f = 10 [Hz]\n", + "alpha = 2.114 / (2 * pi * f)\n", + "dot(y1) = 11.488 / alpha^2 * (u - y2) - 4.2076 / alpha * y1\n", + "dot(y2) = y1\n", + "dot(y3) = 9.1401 / alpha^2 * (y2 - y4) - 5.7924 / alpha * y3\n", + "dot(y4) = y3\n", + " desc: The 4-pole filtered output\n", + "\"\"\")\n", + "s = myokit.Simulation(m)\n", + "e = s.run(1, log_interval=0.001)\n", + "\n", + "t, u, y = e.time(), e['f.u'], e['f.y4']\n", + "\n", + "fig = plt.figure(figsize=(15, 4))\n", + "ax = fig.add_subplot()\n", + "ax.plot(t, u, label='Noisy (5 Hz + 50Hz)')\n", + "ax.plot(t, y, label='Simulated, n=4, f=10Hz')\n", + "ax.plot(*low_pass(t, u, 10, n=4), 'k:', label='SciPy, n=4, f=10Hz')\n", + "ax.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "a86a8334-e3c4-4912-b236-fd62086093f3", + "metadata": {}, + "source": [ + "Looks great!" + ] + }, + { + "cell_type": "markdown", + "id": "957681ff-0882-4141-8457-89e0d0b76dff", + "metadata": {}, + "source": [ + "### Six pole Bessel filters\n", + "\n", + "Applying the same methods for a six pole filter we obtain:" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "6eb455f1-3ba2-43e9-8abb-a1c4d9f36a20", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2 sigma_1 = 5.0319\n", + "(sigma_1^2 + omega_1^2) = 26.514\n", + "2 sigma_2 = 7.4714\n", + "(sigma_2^2 + omega_2^2) = 20.853\n", + "2 sigma_3 = 8.4967\n", + "(sigma_3^2 + omega_3^2) = 18.801\n", + "None\n" + ] + } + ], + "source": [ + "print(even_poles(6))" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "9b76c99b-cb1f-420e-8580-d074b1f8c205", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2.7034 rad/sec\n" + ] + } + ], + "source": [ + "print(f'{bessel_natural_cutoff(6):.5} rad/sec')" + ] + }, + { + "cell_type": "markdown", + "id": "55d89ad9-b1b5-45c6-b4f4-d79f47241f5f", + "metadata": {}, + "source": [ + "We can find $\\omega_0$ using SciPy and fmin:" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "48686b58-6027-4937-ba4d-e5afe94c7f08", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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PHj1gMBgwduxYLFy4EGazGTfccIPiZMw2bdogPT0dO3fujLo2OW63G7t27ULfvn2pf/dIBEHAzTffDJ7n8dFHH6lW0BoMhrDAVKNGjWCxWIiCVfHYvHkzUlJSkJkZ8A969eqFRx99FB6PByZTIFm3YsUKNGnSJKoNUw2S32/79u1o1qyZFKSsK7AgGaPaECtfGqenSBmLZGTrP/g1JDq48VAJC5Ix6jyVbp80FrxNQxusJj0cnoDG31kNlfUElCgor8JB2VSy8iovMixsQAqjbnNS2pvMaJweCJIlI4Gz6PfD0r+3nyhXfC6DUVeQEqLpZuSmp+BUpRuF5S50aZqheU23z48fdpyUvt9VUIFuwQQRg1FX8QYnWRp1OhiCQWFvEqZblju90r89vsTX69q1K2666SbMmzcv7PHJkyfjggsuwDPPPIPrr78eGzZswOuvv4758+fHXCc/Px9+vx89e/ZEamoqPvroI1gsljBdqwkTJqBjx44AgF9++UXxunQ6HQYMGID169dj5MiR0uNTpkzB8OHD0aJFCxQVFeHZZ59FRUUFxo4dm+BfIjD98ccff8SKFStgt9thtwf0g+X668nkm2++QWFhIXr16gWLxYLVq1fjsccewx133CEJ9d944414+umnMW7cODz66KPYu3cvnn/+eTz55JPUbfAkv9+6deswaNCgpP+uZxqWlmFUGycrQ45IsrL1Lq8fP+wIlZD+eag0watkMGo+YsA5PcUAi0kfahFL0J6+3xZejv3XYWZPjLpPaG9KQV5G4JCXDI2/r7eckP69ke1NjHqA18/jtCNUmSnuTQUJ7k2/7j+NEodH+v6PgyUJXimDUfPx+QOtiQY9J1VOev0C9STKSMqqQkEyl5cHzye2HoLi8ZHX1aNHD/z3v//F4sWL0aVLFzz55JOYMWNG3GmUmZmZePfdd9GnTx9069YNq1atwjfffBMmpt+2bVv07t0b7du3R8+ePVWv64477sDixYvDpj0eO3YMY8aMQfv27XHNNdfAZDLht99+S4rI/M8//wy73Y7evXsjLy9P+vrss88SXjsWRqMR8+fPR69evdCtWze8+uqrmDFjRphWW0ZGBlauXIljx47h/PPPxz333INJkyYp6q/FQ+33c7lc+OKLLzBx4sSk/p41AVZJxqg2xOxi47QU2MyBKphEHZHCchd8spv7X4dL4ecF6HVMIJZRdzkpaw8DgLwMizSRLxGOlISLbP5xqASXdmiU0JoMRk0nVPmSItMkS8yW/LyAY6WhSukjJU6crHBJNstg1EWK7W4IAmDQcchKNUkJ0ZMJ2tPRiL1p46FSTEi8M4rBqNF4g4Edo14Hg54DB0CAAB8vwKjX7ufIq8cECHB6fLClkHcNxNIPb9myJVyuaDsfNWqUom7YoUOhbqCRI0eGVXzFQhAEnDx5EnfeeSfRtQ4aNAhNmzbFZ599hjFjxgAAFi9eTPRaOePGjYsb3JMHB9esWUO9Nun7xOKKK67AFVdcofq8rl27Yu3atZrel+b3W7BgAXr27ImLLrpI9ZpqG6ySjFFtyIX7c5PU0nKiLOCEtM6xwmrSo9Ltw8FiexKulsGouZyUtS7L/5sse+oabIvZcrQswStlMGo+khSATLi/0u1Dpcur8kqFNStd8PMCDDoOHXLTAAB/M3ti1HHk2rM6HReqJEtwbzoe3Ju6NA0IWG85xmyJUfcRK8mMeg46jktKy6UgCNLrRekbZ1C+o6ZTVFSEOXPm4Pjx47jtttuIXsNxHN555x34fL5qvz5GoLItsu22rsAqyRjVgtPjQ6UrcINqnG6Gyxu4QZ+yu+H185oFWMWDU7MGFhj1HPactKOw3I2zG6Ul8eoZjJpFUWVI8wVAqH050SBZUCPworOysO14edImZjIYNRnRnhqnp8BmNiDNbECl24eTFS6kUWTX5YgB59yMFLTKtuKfwsqkTHNmMGoy8mQoACkhWliRmP5sQVlg3YtaZ2P78QoUVbpZ1wCjziMGs8TgmFHPwesPtFxqxc8L4IOVQVazAVVevxSMq+k0btwYOTk5eOedd9CgQQPi151zzjk455xzqvXaGAHuuOOOM30J1QYLkjGqBXF6WKpJD5vZAKsJ0HEALwAlDo/mFpQTwYNT00wLeEHAnpN2nLIzR4RRt4msJBODZaeCzr5WRHs6p3lmUtZjMGo6PC+EBckAoGG6GZWnfCiq1J5wEW2pSYYFDdOSY58MRk2nSDYEAwAapQVsKvG9KVjl3CwDHBdw9EudHuQkODGTwajJiMEwYzAYbNDpAPjhS6CSTAq86XQwJXEYwL9BolpsDEYisHZLRrUgOiEN08zgOA46HSdNzSuv0t7SUhCsfGmSaZEOY2JAjsGoq0j2FHQQkmFLLq9fEkY+Nxgkq3T54KolZfgMhhZKnB74g7qWObbAaPTMoD1VJGBPolPfJDMFjYJBMrY3Meo68rMeAGSmJr43QWZPzbNSkW0N2CmzJ0Zdx8eHV5KJlZP+BIJFUuDNwMEQ1DWrLZVkDMaZhAXJGNVCmTPgfGemmqTHxH8ncngS2y3zMlJYtp5RbxDHdzewBhyQZNiS6IRYTXo0zbTAbAhsB8yeGHWZsqAtpaUYJEckmfbUJFNWSWZntsSo24j21CBoQ8lI4Pj8vNT63zTTIlWPMXti1GUEQZASOGJwTAqSJTCN0hOsGjPpddKe5+NrRyUZg3EmYUEyRrUgHpDEAxMApAf/LR6qtCA6Ik0zLaFsPXPqGXWcSHtKhiMitYdlWsBxnOTYM3ti1GVi7U0ZydibgvqAeZms3ZJRf4jam4KVZC4vr7kquajSDV4I6DE1tJklvTNmT4y6jDwQlswgmdhaadTrpDbORDTOGIz6AguSMaqFWI5IpuSIeDStKQhCmGPPHBFGfSHSnhK1JURUviA4nQwATlUyjT9G3aVCIUiWjEqyppkpISkAZkuMOo5oM2ISNM1skBx7re3L8iEYOh0nyQwwe2LUZcRAmI4LTLYEAEMygmS+UJBMrCTjZVVrDAYjNixIxqgWQo5IaDZEoo5IeZUXVcHMZG5GCjs4MeoN8SrJHB6/ZgHWE+UhDSXINGVY0JlRl4mZwAlWv5QlpJcZrCSTCfcX2z3gmSPCqMNUuMLtieM4pKcEzn1a7emEzJaQxEE1DEZNRtQdk09wTU67ZeC1Jj0HvS4UgEtkGACDUR9gQTKGRFGFC5fMWo1nv92Z8FoVLh8QxxHRGiQTRcbTzAakGPXs4MSo0Sz85SB6z1yFbcfKE1qH5wXJERGz9ekyu9JqT6VBe8q2BuyIBckYNRWX14+r3vgFEz/cmHDQKdKpRxISOHxw8h4AZNtMyLaZpIl8JQlUezIY1cGqXSdxwXM/YuXOkwmvFTvoHNAn09q+LO5N4mCNUEKU7U2MmsddH23CVW/8Arvbl9A6kXpk8n/7Etj3pHWDVWSSeD9L4DAYirAgGUNi2bYCHClx4r31B7H5SGlCa0kl+CnJc0TErKSoedHQFqiAqWAT+Rg1kKe/2YkT5S5c8+YvCY2xrnT7IL5ctCe9jkNaMFufqD2JwetQixhzRBg1i7+OlGLL0TKs3HkSX285kdBa4hCMmAkcjU59pStko5kWE4x6HbKCgQIWdGbUNF74/h+cqnRj4ocbUeVJ7OwUq305PdGznmSjwSAZS+AwaiiF5S4s31GILUfL8OaafQmtJQWzuORWkomvFVs3jbqA66+1CyEeHMfhyy+/TOqasWjVqhXmzp1b7e8Ti/z8fGRmZp6R964Opk+fjsaNG/9r/+9qGyxIxpDYWVAh/XvOyj0JrVUd4sii/pI4RSndYoCJTeRj1EDkGUWvX8CqXUWa1xKdELNBhxSjXnpcahHTmq13ikEy5ogwajZbjoaqMWev2J1Q0Flxb6rSVvUlVpFZTXppT2L2xKipnHaEPucf/3ZY8zqCIFSL/mypdNYTEzjB9mVmS4waxpZjZdK/F6w/qDnRgniVZFxiQbLAxEw+bF0tlWRFRUW488470aJFC5jNZuTm5mLw4MHYsGGD9JyCggIMGTJE03VWJ3UtsCWSn5+Pbt26ISUlBbm5ubjvvvuoXr9r1y48/fTTePvttzX/v1u6dCkGDx6MnJwccByHv//+O+o5brcb999/P3JycmC1WjFixAgcO3Ys7DnxgnTjxo3DyJEjqa8rWbAgGUNC7ohsOVqm+Fw1lB2RxLKLYnCA40KCrmw0OKMmsf14eIvl1mPa7SmWLSGsMlObI1IedEREh4bZEqOmIrefY6VVYU4+LZFC45BVrCRelWmSHmNBMkZNpKjCJUlXAMDfCexNVV6/NCUvPYnSGuURVc7Mlhg1Ffne5PLy2FNUqXktJU0yXhDAa0gO+QUB4qvEgJso3k+jSTZq1Chs2bIFH3zwAfbs2YOvv/4a/fv3R0lJifSc3NxcmM1m6mtk0DNnzhw89thjeOSRR7Bjxw6sWrUKgwcPplpj//79AICrrrpK8/87h8OBPn364IUXXoj7nAcffBBffPEFFi9ejPXr18Nut+PKK6+E31/zO8BYkIwBAHC4fdgru7lXuHwJTfpS0qlIvAQ/eYcxBqM6iAwyHyut0rxWrHYWBNu6kMR2ywZWZkuMmkky7SlWkCzxqkxP2DpIwn7HYFQHWyI0MhPbmwIV03odB6spVOWcqLSGZE/BPU7sHqh0+5jYOKNGIS8uAIBjpU7NaylpkkFjNVnYxEydtomZZWVlWL9+PV588UVceumlaNmyJS688EJMmzYNw4YNk54nrwY6dOgQOI7Df//7X/Tt2xcWiwUXXHAB9uzZgz///BPnn38+bDYbrrjiCpw6dUpao3///njwwQfD3n/kyJEYN25c3OubM2cOunbtCqvViubNm+Oee+6B3W4HAKxZswa33XYbysvLwXEcOI7D9OnTAQAejwdTp05F06ZNYbVa0bNnT6xZsyZs7fz8fLRo0QKpqam4+uqrcfr0aaK/mZz+/fvjgQcewNSpU5GVlYXc3FzpGrRQWlqKxx9/HB9++CFuvPFGtGnTBp07d8bw4cOJ15g+fbr0fJ1OB07W4kvDLbfcgieffBIDBgyI+fPy8nIsWLAAL7/8MgYMGIDu3bvj448/xrZt2/Djjz9SvZf4mYr86t+/v6ZrJ4EFyRhAsPKFF4C8jBRkWQMHkuNJcOxjZhc1luBHtltCdhjTOmqcwagOxBL8zk3SgSQ59VGVZIk69g7RsQ+2L6ewIBmj5lFU6cKJchd0HNAxT7Qn7Y6IknB/pcunyREpj6hyBiBN+GP2xKhJiAFncW86noAtyfcmuZOVmSRNMtGeRP1NBG2UwagJ8LwQfdYroTzrCQLgcQAeB3i3A5zXCb3fKT3GeZ0w+KvAeZ3wu+zS46RffpddWkN8TOdzBtbzk+11NpsNNpsNX375JdxuumrOp556Co8//jj++usvGAwGjBkzBlOnTsWrr76KdevWYf/+/XjyySfp/mYR6HQ6vPbaa9i+fTs++OAD/PTTT5g6dSoAoHfv3pg7dy7S09NRUFCAgoICTJkyBQBw22234ZdffsHixYuxdetWXHfddbjiiiuwd+9eAMDvv/+O8ePH45577sHff/+NSy+9FM8++6yma/zggw9gtVrx+++/Y9asWZgxYwZWrlwp/XzIkCHS3znel8jKlSvB8zyOHz+Ojh07olmzZhg9ejSOHj1KfD1TpkzBwoULgWCbbEFBAQBg0aJFqtexaNEi4vfZtGkTvF4vBg0aJD3WpEkTdOnSBb/++ivxOgDQvHlz6VoLCgqwefNmZGdn45JLLqFahwYDwXMY9YBDpx0AgHaN01Dq9KDE4cGxUic6BW/8tCi1Wyar8gUyx54FyRg1iYPFAcfj8g6NsONERUJOfazKFySo8efnBWkCrWhP6bKAsyAImjNLDEYyOXw6YDvNGqSifWMbdhVUJBh0jp68LP93RZUXDaymmK+NR5kzPOAMuT252N7EqDkcDJ71xL2p2O5BlccPi6wSjJR4CZz0BPVnyyPalw16HawmPRwePypc9PbJYFQHJU6PFLS9tL141qPcm7xO4PkmAICmwa9IOiVwjakAukY81jD4dejOfQCsqmsYDAbk5+dj4sSJeOutt9CjRw/069cPN9xwA7p166b42ilTpkhtgP/3f/+HMWPGYNWqVejTpw8A4Pbbb0d+fn4CvyHCKs9at26NZ555BnfffTfmz58Pk8mEjIwMcByH3Nxc6Xn79+/Hp59+imPHjqFJkybStS5fvhwLFy7E888/j1dffRWDBw/GI488AgBo164dfv31Vyxfvpz6Grt164annnoKANC2bVu8/vrrWLVqFQYOHAgAeO+991BVRfbZOXDgAHiel64xIyMDjz/+OAYOHIitW7fCZFK/P9psNkmnTf53GTFiBHr27Kn42saNGxNdJwAUFhbCZDKhQYMGUWsUFhaGPTZmzBjo9eH7kNvtlqoV9Xq9dK0ulwsjR45Er169EqrKU4MFyRgAgGJ74JDfKM0Mq1mPrcfKNTsiLq8fbl+gJD49hphreZUXPC9Ipb+klEUIjSMo3o9geyiDUVMoDup6dW8Z2BgKK1zw+HhJ1JuGeI5IItl6eVBZXEcMOPMC4PD4YTOz7YFx5hHFuhulmdG0gQVIUpWz3J6Meh1sZgPs7oDMAK0TLg3BsMRK4LC9iVFzEO2pTSMb0swGVLp9OF5WhbMb2VRfG0m8BE6ircax2pfTLcZAkIzZE6OGIJ7zGqQa0TonEGw6VqY9IfpvQ1M1PWrUKAwbNgzr1q3Dhg0bsHz5csyaNQvvvfeeYiukPIgmBle6du0a9lhRkfbBVgCwevVqPP/889i5cycqKirg8/ngcrngcDhgtcYOAv71118QBAHt2rULe9ztdiM7OxsICttfffXVYT/v1auX5iCZnLy8vLDfu2nTWOHR2PA8D6/Xi9dee02q0Pr000+Rm5uL1atXU2uTyUlLS0NaWprm15MSKxH/yiuvRLVt/uc//4mpXXb77bejsrISK1euhE5XfU2RzAtiADJB1Jw0MxrwwXbLMm2OiOiEcByQJnO0xYMULwS0JSKdfjVKI4TGwSrJGDUQPy9Iwsgdc9NhNujg9vEoLHehRXYq9Xrqwv30n33RltLMBknENcWog1HPwesXUFHlZUEyRo1AdERybGY0axCwn2RUZsayJ7vbp2mwTKTQOMISOGxvYtQcRHtqGAw6/1NYiWOlzoSCZPH2Ji22xPNCbHtKMaKg3MXsiVFjKK4MnKMappnRLJjAoS4uMKYCj54AAOwrsqPK60fLrNSwwPPBYgfsbh+aZVqoEzjFdjcKyl3IsBjRIiuwf9pdPhw87YBJl0K1VkpKCgYOHIiBAwfiySefxIQJE/DUU08pBsmMxtDvIQZFIh/j+ZDOoE6ni5pe7fXGt/nDhw9j6NChuOuuu/DMM88gKysL69evx+233674Op7nodfrsWnTpqjqJbG1MZEp2pHIf2fE+L2HDBmCdevWKa4h6qzl5eUBADp1CtUYNmzYEDk5OThy5EhC17lo0SLceeedis95++23cdNNNxGtl5ubC4/Hg9LS0rBqsqKiIvTu3TvquWeffXbYY2lpaSgrC9ekffbZZ7F8+XL88ccf1R7QY14QA5BNtMuxmWEMjgfW6ohI2cUUY1i1WIpRLwUMKqq81EGy2I4Ia2lh1CxKnR4pQ5dtM6FpAwsOnHLgWJlTU5BM/GzHa7fUEiQTnZeM1PDDSobFiGK7BxUuL5rAQr0ug5FsQgkck3ZHJIjPz8Pujm63RNC+jpdVSa2TNJQyvUxGLUG0p4bBoHMgSKbNnuJWOSegP1vh8kL0TUXhfsiCzkzjj1FTCEvgBANQJ8qq6DplOA4wBaqdfAY/BPDQp9gAU8g915kBgffCb7AAJroJhH6DHoJRB53ZBJgC16iHD4JRQKKzBTt16iQJ9SeLhg0bSvpYAOD3+7F9+3ZceumlMZ+/ceNG+Hw+vPzyy1JF0X//+9+w55hMpqhqpO7du8Pv96OoqAh9+/aNuXanTp3w22+/hT0W+X2yoGm3FFtVd+/ejWbNmgEASkpKUFxcjJYtWyZ0HclutzzvvPNgNBqxcuVKjB49GghqoG3fvh2zZs2ivr4lS5ZgxowZ+P7779GmTRvq19PCgmQMQFaCn2MzSRUkWg9OsYSRRdJSjHDb3ZrEV2O2WwYFXVkJPqOmIC/BN+p1aNYgNRAk0+yIxHbq04JVlHYNtiQKjcudegQD28V2D7MnRo3hVFAKQF5JdrysSpNunnzfkYuBy793uOldh1iTl6UqZyYFwKghuH1+6fMYsKfEgs7SgKYIWxLPkPYEbMlq0ofJE7CgM6OmISVwbGY0TjPDoAtU4hdVupGbQVelhTjTLeXf+zVUNilNzCRttzx9+jSuu+46jB8/Ht26dUNaWho2btyIWbNm4aqrrqK+JiUuu+wyTJo0Cd999x3atGmDV155JaqSSE6bNm3g8/kwb948DB8+HL/88gveeuutsOe0atUKdrsdq1atwjnnnIPU1FS0a9cON910E2699Va8/PLL6N69O4qLi/HTTz+ha9euGDp0KB544AH07t0bs2bNwsiRI7FixQpNrZYk0LRbtmvXDldddRX+7//+D++88w7S09Mxbdo0dOjQIW4wkRTadsuSkhIcOXIEJ04EqiF3794NBKvCcnNzkZGRgdtvvx2TJ09GdnY2srKyMGXKFHTt2jXuRMx4bN++Hbfeeiv+85//oHPnzpKmmclkQlZWFtVapLDplgwgRgk+ghkRLYR0KqJjsKIjImbzaYilUyFWwrDsIqOmIC/BB4CmmYHDUsL2FOmIBL+vTJItAUBagsM1GIxkI9+bmgRtyenxa/qMiq+xmvQw6sOPP2mSY6+hMjNGJVk6c+oZNYzTwYCzUR+oGm6aGTjrFZQnt5LMloAtlcYYgoGwoDOzJ0bNQL43GfQ6NE4P7E9apGoEQQAfJ0imCyaD+ASCZIYYQTL5eyphs9nQs2dPvPLKK7jkkkvQpUsXPPHEE5g4cSJef/116mtSYvz48Rg7dixuvfVW9OvXD61bt1YM/Jx77rmYM2cOXnzxRXTp0gWLFi3CzJkzw57Tu3dv3HXXXbj++uvRsGFDqYJp4cKFuPXWWzF58mS0b98eI0aMwO+//47mzZsDAC666CK89957mDdvHs4991ysWLECjz/+eNjahw4dAsdxWLNmTVL/Dmp8+OGH6NmzJ4YNG4Z+/frBaDRi+fLlUa2siQ5FUOPrr79G9+7dJXH9G264Ad27dw8LVL7yyisYOXIkRo8ejT59+iA1NRXffPNNVJurGhs3boTT6cSzzz6LvLw86euaa65J+u8lUq2VZGvXrsVLL72ETZs2oaCgAF988QVGjhwZ9/lr1qyJaQy7du1Chw4dqvNS6z2icH9Dm1kKPJVVeeHnhagbthpi9jCWppHWw5PPz0tVADE1ydjBiVFDkJfgA0BWUEOi1EHfegIAjmAQLLLyJRFHJFblC8IqM5k9MWoGcnsyG/SSwH6JwxPlSKshJmdsKTH2JjHorKXKOaaGErMlRs1CtKVsqxk6HSftTSUJ7k2R9iTuVS4vD6+fjwpIK1EWJ/AWCjqzykxGzeBUxFkv22bC8bIqTWc9XgDEcJWOi1NJRiG0L+KTAm8hG5Sv7xcE6KDs45nNZsycOTMq+BSJXMOrVatWUZpe/fv3j3ps3LhxYZpmRqMR8+fPx/z58+O+z6FDh8K+f+ihh/DQQw+FPXbLLbeEff/mm2/izTffDHvMaDTi6aefxtNPPx33vcaPH4/x48eHPTZ58uSwa8nMzMQ555wTd41YAbRE21TT09OxYMECLFiwIObPDx06BIPBILVmxmLkyJEJ665F/v+LRUpKCubNm4d58+bFfU6865AH+UjeK9lUayWZw+HAOeecQx1p3r17NwoKCqSvtm3bVts1MgIl+GJGMMdmlnQgBEHbAV86OCkEyWgdEXnVQFhLC8vWM2oY8hJ8yKpLxAl4tIj2ZDXHdkS0tFuKjkhku2UG0/hj1DAi7UkMRGmxp3i2hLCgc3KkAERbqnT7NDk3DEaykev7AUADazAhqnVv8sQ+68nty0FpT5IUgDV2AodVOTNqCsWSFEDAnjKls56WIFloj4isS5AqyfjIV6kTq92S47iEAm+MEMuXL8ejjz4aJkpfE1i+fDnuuOMOFj9JkGqtJBsyZAiGDBlC/bpGjRohMzOzWq6JEY1Ygm/QBUrwdTpOytaXOj3U01QUHRGNui/iwUg+jQ9M94VRA4msJEvk4ASZ055qildJ5qPWZxIFlVm2nlGTEQQh1NIiCzofK9UmsC869VZT/L2JNujM80JMHU5RM1BcMyOitZnB+LdJ/t4UOMdF7k1GvQ4pRh1c3kAHAE3FZ5na3sQSOIwaQijoLO5N2oPOYtujjuOiznKiy5NIu2WUzhnHwQ+BBckS5IUXXjjTlxCTu+6660xfQp2gRmqSde/eHXl5ebj88suxevVqxee63W5UVFSEfTHokB+cxIksiWXrYx+ckIDui1h5FtlyJuqeVVR5kzqul8HQyimZTgUSPDghqL+EGNl60an3+gW4fXQpxrj2xNqXGTUIh8cPlzfw2RarX5KxN1nN0VoYNpO2SjKHxydN45Pbk8mgg8UYeB9mT4yagFxWA7JKYs17k9Q1EMOezMHBMpT2JD4/zRxZSca6Bhg1i1gJHCRYSRZL3kasJNMk3C+uG6eFU0vgjcGoL9SoIFleXh7eeecdLFmyBEuXLkX79u1x+eWXY+3atXFfM3PmTGRkZEhfouAegxwpSJYWyvaFDk/as/UxD04as/XSwSkl9sHJxwuo8iY60JjBSJzIEnyxEjPRSrJIx95q0t7SUhnPnixMR4lRcxCnLltNeinpkojGn6IUgMahMmLA2aTXIcUYbqOiPbEWMUZNILLyJSt4zrO7ffBQJloQtjclb0iTakKUdQ0wagA8L0hafqGEqHZpDX8wVhWpRwZ5QEtD1VdoGEDsNVklGYMRn2ptt6Slffv2aN++vfR9r169cPToUcyePRuXXHJJzNdMmzYNkyZNkr6vqKhggTJKxGl8Ygk+whx7+pu90sFJfIx2Ip94cIoUiE016WHQcfDxAiqqfDGr10jx+Xk43H7WFsNIiOKoEnzt2Xqvn5ecl0jHXq/jYDXp4fD4YXf7kC2zXzXscexJDDonw6kvd3phNevD2qMZDBpCCRzZ3pRAtj5e6zIS0CRTGgaQnmLEyQp3wkFnQQg4ZDQ2zmBEEtlumZZigI4LiIaXOT1oFJzOR4qYEE2mPVXGsaf0JE5ernR5gy2hdNPVGAyRUqdHCjCJiZuQxp+GSjKp3TL6Z1oryXhBkCrFkjkMIBKfn4deF90mymDUdmq893LRRRdh7969cX9uNpuRnp4e9sWgQzx0yKdGhlrEtGfrrUoHJ8psYGWwXSUyUMBxXFIOTz4/j1sW/IHzn1uJg8UOzeswGJH2JNqSlmy9U6bdF8sRsWochFHpDmn8yUmWcP+mwyW4aOYq3PnRpoTWYdRvYu1NibRbiq3LipUvSdqbkER7mrZ0G8579kes3XMqoXUY9ZtIe9LpOJkumQZ7UphkLlY+09tT7GrPZLVbHit14tLZazDstXWaKnMYDEToJIvTW0Vb0jItVgpmxYiShSrJKNeUfb4j15UCbwnawKlKF3YWVOC0xgm5DEZNpsYHyTZv3oy8vLwzfRl1GvEAnx4WJNN+sw/pviSvBD/UbhkrWy+W4Ws/PM1fsx8bDpyG1y8wR4SREJH2lJ5ilLKDtEFnuyfUymUyRN+utbaI2eO2tCQu3O9w+3D927+hyuvHqn+KNLXxMBhQ2ZsSSeAkU0MpnlOPJNnTd1sLsPjPowCAb7ee0LwOgyG2KqbHDDprr8yMqfGnVZNMtPkIKYBkBJwFQcCDi/9Gsd2D/accOFLi1LwWo34Ty5YSEu6Pox2GBCvJxNfHrSRLQJPM6fGhoNwFyAbAMRh1iWptt7Tb7di3b5/0/cGDB/H3338jKysLLVq0wLRp03D8+HF8+OGHAIC5c+eiVatW6Ny5MzweDz7++GMsWbIES5Ysqc7LrPeImTn5oSQxcWSlg1NynXrIdJUSyTB+8vsR6d87T7DhDwxt8LwgfbZFe9IFp8aWOr0odXqpWlqUbAnyQRgaNf4iW1rSkhBwXr+vGD5ZdnJvUSU6N8nQvB6j/iIGl2LvTYk49fE1yWirMpUSOMmwp0W/H5b+zaqcGYlQKQWgQp/VQNDZQR109vl5aWCMNdaQpgT1Z+PtTS5vQIIgVtJIjX1Fdmw8XCp9v/1EOVrlWKnXYTBEW0qLsiVte5M/mEuMpUmmC37UhWD7ZKznKK6pUJ2WSCWZXBfUzwvUU9YZjJpOtQbJNm7ciEsvvVT6XtQOGzt2LPLz81FQUIAjR0LBCY/HgylTpuD48eOwWCzo3LkzvvvuOwwdOrQ6L7PeUyllRKJv9okJ9ydfpyJSaByyAILDo0243+X1o7DCJX2//US5pnUYDHucSXcNUk3BIBmdPTkUNJSQQCVZRZzqF/F7p0ZbAoAjp8Oz8ztOVLAgGUMTio6II4EETkwpgGB7WJKExiELxjnc2u3psMyedpyoAM8LMZ0eBkMNMegsP0eJ1S8llPYk/0zHDDonqj8bsab8PZweH0wGU9Rr1TgcsTdtP16BK7s1oV6HwVBK4JQ5vdQBo1C7ZfTP5NVlPC9ApycMkhFUpyXSbSmfqu7jefj8AowGtjcx6g7V2m7Zv39/CIIQ9ZWfnw8AyM/Px5o1a6TnT506Ffv27UNVVRVKSkqwbt06FiD7F6iQHJHkZOuVHHut0y2VWlqswfdxUh7GRI6Vhh+c9pyshNvHJmUy6BGrGU2GcFHgTI0afw4FzRdodETcPr/UAhkZdE41BQPOGm0JQFQLy47jLOjM0Ebslhbt2XqHgiaZvD1MoGhBsSvuTQF7cnq02ZPXz6OgvEr63unx4+BpVk3G0EaofTn0Wc3UaE8OUikAjWe9yKCzUfY+WhOiUXsTS4gyNBLLlkQBf4+fp040xhPYR1B7WUvLZbzJlpAF4xLR5fP4w6U0qrzxf+f8/HxkZmZqfq+6htPpxKhRo5Ceng6O41BWVnamL4kRgxqvScaofmJlRBKZyKfk2Kdp1n2JL45s1VidJnK0JOCEdMhNQ4bFCK9fwN6Tdk1rMeo3sWwJssMTbfuykuYL5I49hSMirwCIV0nm9vHw+bVpiYmOSK+zsgEA21n7MkMjISkAWSWZNTxbT4OiFEDwPfy8AJeX/LOvXOWc2N50oqwKvACkGHU4p3nAwdjOgs4MDbi8oeSIPOgs7k30CRy1vUn87Gvb82JWZiaYxDkaTIj2bhPcm46XU99DGAyEtS6HbMli1EuBXNqgcyigFbsSKyTeTxEkUwi86aVKMrL1ioqKcOedd6JFixYwm83Izc3F7TdcjS2b/pBsXSlIdv3112PPnj3S9/n5+eA4TvrKy8vD6NGjcfDgQeLf70zhdrvx2GOPoWXLljCbzWjTpg3ef/99qjU++OADrFu3Dr/++isKCgqQkUHfbfHcc8+hd+/eSE1NjRuAPHLkCIYPHw6r1YqcnBw88MAD8HhCn801a9bEDdK1atUKc+fOpb6uugQLkjEUMyKJVJIpOSJadSpit7SI2frEsostslLRITcNALD/FAuSMeiJpfmCBLL1YgVKrMoXyOyBxmkQrzHVpI86kMmrP7Vm60VHZGCnxgCzJUYChKpKohM4WrL1Su2WqUY9RF+CJqglJXBiOvWJtS+Le1PzBqnolCfuTaySjEGPaEscB9hM8koybfqzdhUpAC1DmgRBkJ31ooPO4ntpDpIF7enyjoG9SdQJZTBokRKisoAzx3Gaxfv9wVhVvE76UCUZxZoKgTcdZZBs1KhR2LJlCz744APs2bMHS5Z+ifMv6oOK8jJp73MrJJcsFgsaNWoU9lh6ejoKCgpw4sQJfPLJJ/j7778xYsQI+P01u5Nn9OjRWLVqFRYsWIDdu3fj008/RYcOHajW2L9/Pzp27IguXbogNzdXk5abx+PBddddh7vvvjvmz/1+P4YNGwaHw4H169dj8eLFWLJkCSZPnkz9XvUVFiRjxHREtB6cBEGQyvCVdCoC2k30LS2xs4vBg5PGlpajsiCZKKp+qtKtaS1G/UZsD0uzhB/wtR6clJx6aNT4U9JQMhl0MAb1LrS0iPG8gGPByszzWzUAgr+zV2NVGqN+EyuBk2rSw6TXlq1XarfU6TgpeEBjT0rtlqnmxCpfpCBZVioapgX2pmI725sY9FTIqvHlmnZa9WfFwK+aFICdQo+vyuuXHHslTdtEg85nN7JJZ1xmTwwtVMTQy0QCcgBihVg8UX69hvZIv0IlmRR0IzialZWVYf369XjxxRdx6aWXomXLljinx/m4/b5JGDBoiLQfl5SW4I477kDjxo2RkpKCLl264NtvvwXitFtyHIfc3Fzk5eXh0ksvxVNPPYXt27dj3759GD9+PK688sqw5/t8PuTm5lJVbXEch/feew9XX301UlNT0bZtW3z99dfEr49k+fLl+Pnnn7Fs2TIMGDAArVq1woUXXojevXsTr9G/f3+8/PLLWLt2LTiOQ//+/TVdy9NPP42HHnoIXbt2jfnzFStWYOfOnfj444/RvXt3DBgwAC+//DLeffddVFTQdXhEVv6JX9OnT9d07bUFFiRjxGxpEQNmHh9Ppc/l8vKSEKRSkEwQ6A46sQJ5IqnmBLOLpSFHJDtYQXfawcYZM+iJZUuQfW4rKafciQ5GvEoy8XGaiXxK+n4IExunt6eiSjc8fh56HYcOuelSBrOE2RNDA7EmL3McJzkmtJMoxc90XMdeQ6VzaJpt/P1OewInEHBu3sCChrbg3sSceoYGpAFNEWeo0ARWbdX9qu2WFHueaHc6LqSPKSdV43ANBBO4cnvKsZkBFiRjaETNnqinJNvtcDodYZVkHo8HDocDbrc7rPLL4XDA4XCA50MRLq/XC4fDAZcrNISM5wU4nQ64q5xRz5U0yQiKFWw2G2w2G7788ku43QF7EfXIjHoOBh0Hnudx2w3X4Ndff8XHH3+MnTt34oUXXoBeH/v+EAuLxSJd34QJE7B8+XIUFBRIP1+2bBnsdjtGjx5NvCaCwaTRo0dj69atGDp0KG666SaUlJRE/X7xvoYMGSI99+uvv8b555+PWbNmoWnTpmjXrh2mTJmCqqqqOO8ezdKlSzFx4kT06tULBQUFWLp0KQDgrrvuUr0W+bBDNTZs2IAuXbqgSZPQcJLBgwfD7XZj06ZNxOsg2C5bUFAgfX366acwGAzo06cP1Tq1jWqdbsmo+fC8ALsnumxY7kRUunww28hudPLDS6ox+jUpRh30Og5+PlBWH8/5j7euojiyxgliR4IHpxZZqdL7FLNKMoYGYulUIAFHJOTUx3FEpJYWCkdEXDNGwBnBqrUyp1fTRD4xU9800wKTQYcsqwmnKt04VelG42CVJoNBSkWc5EhaigGnHR56R0RsEYtjT1LQmcKepKBzjCBZqD1MY+uyrJIsW3LqWcCZQY8UcLZE2pKYwNG2N8U7w2mpcpZPXY7VfmSV2pfpg2TFdg+qvH5wHNC0gQXZVhP2MXtiaCRkT8lJiHZtnQsA2H/4OBpYA0GNl156CY8//jgmTJiAx18IaEP5eQFNGzeC0+nEwYMH0apVKwDAG2+8gYceegg33ngjFi1aFHiuAAztdQ5KS05j+/bt6Ny5MxCsCrpl3HiAMEhmMBiQn5+PiRMn4q233kKPHj1w3kV9cMkVI9Dr/B7Q63X4bd0abN28Cbt27UK7du0AAGeddRbx73/s2DG89NJLaNasGdq1aweTyYT27dvjo48+wtSpUwEACxcuxHXXXQebzUb1tx03bhzGjBkDAHj++ecxb948/PHHH7jiiisAAH///bfi68XgHQAcOHAA69evR0pKCr744gsUFxfjnnvuQUlJCXGFW1ZWFlJTU2EymZCbmys9PmPGDEyZMkXxtfKAlxqFhYVo3Lhx2GMNGjSAyWRCYWFh2OPNmjWLer3TGRp0YrFYpL/D/v37cd999+H555/HwIEDia+nNsKCZPWcSrcP4j1SXjas13GwmQ2wu32odPmkrJsaofYwfcwx9RwXWLe8yotKlw+N0wmvU0n3JcFs/YmyQJCsWQMLTlYEsjCskoyhhdA0vngHJ0pHxCM69XF0XzQ4ImJALVblC+QTLjXYk9yWACDHZsapSjezJ4YmKmO0W0KjIyIIgnolmZm+kqxSWjOGcH+C0y2PS/aUKumEskoyhhbitYeFKl+SLAWQQFVmrI4ByKrWtASdxb2pcVoKzAY9ctICZ1pmTwwthOwpOZVkIvGkqWg1xKDSmikJ9/OBvVFNE2vUqFEYNmwY1q1bhw0bNuDrb5dh/qtzMOf1N3H3xNuxe+c2NM5rgrZt2xJfX3l5OWw2GwRBgNPpRI8ePbB06VKYTIG9bsKECXjnnXcwdepUFBUV4bvvvsOqVauI1xfp1q2b9G+r1Yq0tDQUFRVJj5199tnEa/E8D47jsGjRIklsf86cObj22mvxxhtvhAXUaGnUqFGUbluixPr/Guv/97p165CWlhb2WKw20PLyclx55ZUYMmQIHn744aRea02EBcnqOWI2xGzQwWwIz66npYhBMvLDk5pTj6AjUl7lJXbsw8Vc4wv3azk4+fw8yoN/g2ybmZXgMxIiVnsYkuCIqLVGUjn1xO2W9PYkBsPEqpecYIsYq8xk0CIIgiSOnAxHxO1TlgKAZo2/2MEHJGhLkLUp59hMaBAMkrHKF4YW4rWHpWttXVbQ90NYVWZybAly/VkN7ZYl0t4UsKMcyZ7Y3sSgJ9ntyxv3nYDXz6NRo4bSYw8//DAefPBBGAwGFFcF2hv9PKQAjzwgc++992LixIlh7Y1+XsCyDVvQJMOCZg1DemDjxo2T2i0FCBCE+ME5OSkpKRg4cCAGDhyIW+6ZjMn3342Xnn8W9985ASkpgWvx8YKka6tGWloa/vrrL+h0OjRu3BhWqzXs57feeiseeeQRbNiwARs2bECrVq3Qt29forXlGI3h/484jgtrP1WrTOvbty++//57AEBeXh6aNm0aNo2yY8eOEAQBx44dowoSRnLXXXfh448/VnzOzp070aJFC6L1cnNz8fvvv4c9VlpaCq/XG1Vh1rp16yjNOIMh/D7s9/tx/fXXIz09He+++y7RNdR2WJCsniPd6C3Rmbu0FAMKyukOT6IzEM8Bh3waJeFBx+nxS85NWoxsfWoCwv1lwaAGxwEZFqMsu8gcEQY98UTxtWsoBR2RGPoskAeINej7xQ+Saa9+EcWfs4KiyGLQ+bSDOSIMOtw+XtI9idb4ow86q0kBICzhkhzh/pB9aqsqEMWfG1hNki3Z3T64vH6kxPkdGIxYqLWH2d0+oooSEaUp5pDr8VGsq2RLkA/C0CDcL9qSWJEpJUQr2VmPQU+y2y1TLKkw8gL0upBUuMlkkqqqdK5AJSQvCFHBJAQDQZHBIL8gIDXVivS0VOhk6xqNxrDBabwgQAe66Yp+XsBZbdvj55XLwHEcOnTqgpMFJ7Br125069KRaA2dTqdYxZWdnY2RI0di4cKF2LBhA2677TaqaySFpt2yT58++N///ge73S4F1/bs2QOdThezZZGGZLdb9urVC8899xwKCgqQl5cHBMX8zWYzzjvvPOrre+ihh7Bt2zb8+eefSEmpH/IpLEhWz5Gmh8XI3GlpEVM7OEFe/ULoiIjP0+s4pBijZ01IE480ZOtLg9nFTIsReh0nCfefsrupDowMBsKm8UVm64OOiMZ2S7XKFyqnXqWlJREdJTFbL1a9ZLPqF4ZGRCdEx0W3dEl7E8XnXrSR1DhSAAhr3Sf/7CtVOYu2pGVv8vp5ae/NSjUhPcUAk14Hj59Hsd2NZg1Sqddk1F8q4uhlinuInxfg9PipdWLVKsl4IRDwJgnqSq3L8SrJpLOe9koycfpgNkvgMBKgIonC/YIgSK2R+jh7U6g9kr7dMp70jY7jwAuCagvn6dOncd1112H8+PHo1q0b0tLS8O2Pa5H/1mu48srhAIBeF/dFj569MeaG6zD3lVdw9tln459//gHHcZL2lxYmTJiAK6+8En6/H2PHjtW8jhI07ZY33ngjnnnmGdx22214+umnUVxcjIcffhjjx49PqNUSGtotjxw5gpKSEhw5cgR+v18K9p199tmw2WwYNGgQOnXqhFtuuQUvvfQSSkpKMGXKFEycOBHp6YRaR0EWLlyI+fPn44svvoBOp5M0zcSBAnUVNt2yniM6IrEcZvHwpCVbnxpHp0K+Lml2XV6CHytoJWooaZl4FHlwErOLHh+vaT1G/SaeI5Kw7otau6WGlpZ4joiWwJuIVPki2lMaa19maEMu4h15yNfiiDhUJsVCw2ff5+elKc2x9lDxvTx+Hh4fH/VzJURb4rhA0J3jOKlVjAWdGbSE2sPCP/+pJr3kmNPsI06VrgF5tSbpukpTzCFvt9RQmRnam8QqZzEhymyJQYc4eAwxuwboE6KCAIhhqjgxMmkP9FNokonP1cdJ9os6Z36VJW02G3r27IlXXnkFl1xyCbp06YLXXnwO14y5Fa++Ng8AYNBxmPP2hzi3x/kYM2YMOnXqhKlTp8Lv1yY1IDJgwADk5eVh8ODBUVVU+fn5/3ohg81mw8qVK1FWVobzzz8fN910E4YPH47XXntNes6aNWvAcRwOHTpUrdfy5JNPonv37njqqadgt9vRvXt3dO/eHRs3bgQA6PV6fPfdd0hJSUGfPn0wevRojBw5ErNnz6Z+r59//hl+vx8jRoxAXl6e9KVlrdoEqySr56i1W4LSERFbtBTbLU2iY0928xTf3xon8CZlFxM5OAUrXiwmPawmPRweP4rtnriHNQYjFvHaLW2yChU/L8TNFkZiV3HsE2tpiZ3ZT0S4n1WSMZJFvKpMyAZWaNHLVJYCoAs6y6stY1VPp8rapJ0eH0wGE/H1ljkDv5tY5YxgEqeg3MXExhnUxJtuGT5MyUs8hVicip4aRwpAp+Oks5TDTTb8iXhv0tI1ELQnaW+yMeF+hjbkAbBIH0HS+KOYkCwPfOlUAloUhWQQZbfiVU7rdAB49eo0s9mMmTNnYubMmcFrELD9eDkAwGYNVDQbdDpkNGiAuW+8jYZp0bY+btw4jBs3Lu738aiqqkJZWRluv/32qJ8dOnQI/fr1U3y9ECOoWFZWpvq+SnTo0AErV66M+/NDhw7h7LPPRtOmTeM+Z+7cuQldA4JBwvz8fMXntGjRAt9++23cn/fv3z/m3wjB34PmveoirJKsnpPsdks1px5hYsZ0joiq0LgGnYoSR/DglBpyXtjUI4ZW4jki8oMUTYYxFHSOp6EUamlxeckqVdRsNBR01tK+HPj9syIryZhwP4OSeEMwoHlvUnbqoaGSTAwUGPVc1OCbwOM6mAyBYxbt/hQZcIZMdJxVZjJoidceBo1i42pVztASdPYoJ0RtiSREHeGaZA1lQ5riOYkMRixEv8li1Ev3d5FQBw75Z1Rsd9RxXNxEp6iFT9VuKVWSxf65lomZCFbSAQAnaw81BN/Ex9NVTMeD53mcOHECTzzxBDIyMjBixIio5/zwww+YNWtWUt4vmSxfvhzPP/98lEYco/bBKsnqOUrT89I1tIiF1lPSJKMTR7ar6JyJouYeHw+vn4dRTx77DYm5hm5m2VYTDp92MkeEQY0UgIo45JsMOpgNOrh9PCpcXmSkkm2eDpX25ciWFotCACByzbhBZxOdYyMnVJkZbGmxMt0XhjaUkiPa2i0JnHrKShUnwZo2swElPg91+7Lk1MsTOJJjzyozGXQoaYgFgs5VmuxJtTKz0k1sT2o2mkoZdJMTrUkW+K/Ly1NpsTEY6rZEGSQTK74UOgFo2y0FmdaYenWatiCZXqeTgnqG4PX51Ho3CTly5Ahat26NZs2aIT8/P2rSIgBs2LAhKe+VbBYvXnymL4GRJNiuUM9RqirR5Ih4lJ16aGppUTk4yd7L6fYjI5UiSBYjW58lOfbMEWHQodRunJZihNvu1lT9Es8R0ek4pJr0cHr8wfdWb2lxqmTraafPigiCEDVBLCvoiJQ4PGwQBoOK0NCK6MCvlgliahpK0OCES86Swn6XatKjxEGv8VcStKVMWZBMbF8uYXsTgxKnkj1paV8m6hqgS4iqBd5s0uRl7dMtxSCZ1WyQElclDg8LkjGIUarw16I/K1V8KbgutAGtsBbOeMMAdOIwAOJLBWSBMLlsiFhJ5qfpB1WgVatWrMKTccZh7Zb1nJDDHN8RocnakWTraadRqumcmQw6mPRiS4s2R0TebimOdKYJZjAYfHA6GGSj6uWIlZmk9uTnBamFMpktLWpTyaTplpSOiN3tgzd4eBLtSfydvX4Bbkrhckb9RgzSpiYpgUPTbknazqUmBQC52DiljpKoSSavchbbuGkHgDAYzmpKiMY6O4pYKauS1aQAQpOXtVQ5i5pk0fZUweyJQYF4L49VDKClddmvUvEFWaCLNKAlPk+cYhlzTS78/YmvN7i4QRYkE4cDJCtIxmDUBFiQrJYiCAKOlToTjrRLN3uFgxPNASLkNCgdnILTKAkdERKds1TKjKVIrJaWdA1VCozajcvrR1GlK6E1nF6ZiLfC4Yn0cyUP+MZrNUaYjhJpS4uaxp9WWwrpdKQE20CtJoN0EBM1phh1n8JyF7z+xIKiYpA2dgJHe7slmXA/mS2pSQHIf0adwIlR5SztyVUsgVNf8Pl5FJRXJbyOUpBY/FzR6GVSJUSJg85q0hra9DIFQYjSJIMsicPsqf5Q4qBvfY9E6XMqFhd4fDzcvvifU7nvJuqMxav4glyTjNDnU9MjQwLtlj4+upJMy/RNBqM6SUYlIguS1VJW7DyJi19cjXs/+YtKyDESpUoyLQKUahpK0CTcTz4xk1ocOWLiEdjBqV4yPv9PXPzCavy855TmNcTKF44DUozRt1YbpWMvfu4NOk6qlIyF1pYWNUeE3painRCdjpPsliazyqi97C6sRO8XVuHatzagSkNblIjSXqKl3VIKuik69VptSX2/oxUbV0zgUExOY9Runv5mJ3rN/Akf/XY4oXWcnth6mdBqTyRVlJRBZ7UJtOKeRatJVun2SY69vGtAy+/NqL2UOT3oN2s1Br2yFkUV2pOi4l4Sa2+Sf3ZjBZ31+qCGsifUMi+6cIqVZLKAFonzLwXeklidJiLakkEWgRMDZqySjFFTcDqdAJDQAAXWhF9L+XHnSQDAsm2FeLfZAdzZr42mdZRu9tocEfWAFvUEMYI2Ga06SqHsYsiI2MGpfuHy+vHr/tMAgLHv/4E/Hr0cjdJTqNdxyJyQWNpbaWa6z5Vc80VJy8tK0dIiCIKqjWquyowQ7RdJSzGiwuVj9lRPWL+vGLwAbDlahulf78CL13bTtI7k1CvovtjdPmKtOymgpbiPUCZwCPY7cd8iDRSIxJIC0FJBx6jdiMGxJ77cjnOaZaBbs0zqNeT3/VhSALQtYn5eQJVXPDsmz57UpADkk5dpNC7Fc568yhnMnuodm4+WodLtQ6Xbh/s+2Yz/3tVL0zpK+n76YGLQ7vah0uVDti1cJ9ZgMCA1NRWnTp2C0WiETqeD2+WB4PNA8PJwuWLbEy8IEHyBz7GjqgoGnXKNS5XbG1gTerhcsQOCfq8bgs8DjxuI85SYuF0uCD4PeB/gcgWuw+f1Q/B54PNzcd+Pwfg3EAQBTqcTRUVFyMzMlALTWmBBslrK/lN26d8rd57UHCRzKpYNa9F9IWmNpMwuEmTrUzVO5CuNIY7MNMnqF3tP2sO+/+1gCUac04R6HYdKMJfWESGpoARl0LnK65eylrFarBGmGagt4Cx36hHUfTleVsUqyeoJuwoqpH+v3HUSL2pcR7mSLPAYLwSC02o2AtKqL8p9REmbRlpTqz3FqHIWEzisdbl+EJlYWP3PKU1BMpeXh1h8Yo1V/UJb5RwmBUAyLZZsXWec6dAi4t7q5wMal/KAlxKlkr5f9N4EpklWb9h5IrQ3/XGoBOVO8knjctTu+/IgWSQcxyEvLw8HDx7E4cOBAHiFy4uKKh8cZj3cZaYYKwY4VVYFQQD0jpSwVsdYVHn8OO3wwGzQAZWxBzpVurwoD76vIzX++0ZS4vDA6fHDbTHAEdyT/LyAovJAcEzvsIDNaGKcaTIzM5Gbm5vQGixIVgvx8wL+KayUvj9S4tS8llIlWbqGUcZqrVzQ0tJCUZ1Go1Xh8/PS75Zpia4kYwen+sHOgvKw749qtCfxsxfvc0o7Glwt6CYiBrtI2iPlzn9qHAdDq3C/KDSeYYmsJKOf9sSovcgdkRKHB5Uur/TZp8GpoElmMeqh13Hw8wIqXV6iIJlalYr8Z24fD5+fh0Fp3FhYIFtdvJzWnsqlBI5caJwlcOoT8nMeEjjryYNalhj3fdrqeTGYZdBxASc8DtonmSvvTeJzSYNkZUFbityb0lklWb1ipyyBg6A9dU3NoF5HSaYGwTNPYUV8ezKZTGjbtq3UcvnO2gP47M8TuKZHM9x7aeu47/vQG+tR6fJhwdgL0CrHqniNK3YU4sXV/+C8lg0w69oOMZ+z9K9jeGP1PvRv3xBPXNlecT057yzdij8OlmDKoPYY0joPAODx+XHnq+sAAF/e20fTns9gJAuj0ZhQBZkIC5LVQg6fdoQFg4oq3ajy+GFRcaZjoTgWPHiAqPL6iRwGyCvTkqpJRlCdZqLXqpA/V35D1xIcZNRe5E49ABw5nZgjEqudBRqCRSROPSiDzqFMvT6uSKxc44ympUUMKqdHOSJi9Quzp7qOx8djb1G0Y9+5Cb0jIk3Pi/H55zgOaSkGlDm9qHT5kEewvFL7poj8Zw6PHxkW5T2PxEa1ti+LlZfpKbGkAOhsk1E7idqbShya1nG6Q62Rse77tMEiuQSG0meQpsqZRApAr+NgMepR5fXD6fEjm+hqZbZkCV+XSWvUL3ZF2NPhEge6NtOwNykMPANh14BOp0NKSkDW45STx/FKPzi9UXosFpVeHY5X+lHF6xSfBwDlHuB4pR/dYIj7XIPRjOOVfpyo9KuuJ+dIuQ/HK/2wWFKk16UAKK4KVHi6BT0aUqzHYNRUmHB/LUTMhpzTPFM63Bwt1ejYKwSgxBJ8+fPUIMrWS5l12rYzde0LGnFk8UCYYtTBJMuGhiaIsYNTfUC0p0vaNQSCByctOFVK8MXPFXHriUplmojVRL4uTTWNjxfgoZhQKNpTWkr42umskqzesK/IDq9fQHqKAec0D7SFaa7MVEmO2CirVOwECRyzQQ9jUIyYxJ6IJvyZ6PcmQRAke5Hbk2hLHj8Pty+x6aGMmo8YJBP3pkQryZTaw6DpTKayN1FIa8ilAJT3J/ppsSFbil1JxhI4dR+H24eDpwNnO+mspzEhql5JZpTek/TaQJQQFc96JF0DJNI3oi3RVTnHs6c0lhBl1DFYkKwWImoodWichpbZgZLbxG/20TdSo14nldKTTNMKZALVHXvxZy5voKVFDTLHXszWk9/sK+Le6FkJfn1ib1HAngZ1agwAOFpSpWkdh8rBSbNTrxAcBmVLC4lzI2/DdFLYk3hwSmf2VG8Rq8g65KajZVYqkMDeFHLsVewpyRp/NJXORML9FI6NiNvHw+sPRAzkQTKrySBpvTA5gLqPaE/i3nSywg2Xl35irFLHABKwJTWnXhqoRBDQEvcvjkvuMAAoJHDS2LTYesOBUw4IApBjM6FHi8QSOEoyNUjorEdmTyQBYppBNbSTl1lClFFfYEGyWsgpuxsAkJuRghaSI0Jf/cLzglStoiY2TnKzd/t4afxvvJYzRGwEJBkMtSwoKKtpROLe6IPtYnaPTxqjzKibeHy8pKXVs3UWAOBEeRXcPg2OiNiCEq/yhVYcmaDyBZQtLUotbCIGWXCcpn1ZzZ6YU1/3OVUZ2ptaZgf3pgQ1/uJ9Vmn2JpL1RKwU4v0k2Xpa8XLIbIXjwu1fF5ycBhZ0rheIZ70OuWnS511LNZlDRRBf2puIdWKV282kdWn2Jtk1KrVwSpqZLIHDoKA4pt+ktcqZMOhMvTeRJUST1jWgwZYQdtaLsCcLk6ph1C2qNUi2du1aDB8+HE2aNAHHcfjyyy9VX/Pzzz/jvPPOQ0pKCs466yy89dZb1XmJtZLTwZt9js2EFkFHREtGpEqWkVQbuU3TegIVx95k0FG2tKhXp2kRGxfbKeNVkgkC+aGRUTspCU5k1Os4tGloQ6pJD0EAjpfSV5M5FITGIbcl0pYWUqeeoqUl5NQrH8a0DMKoiNEeBuaI1CuK7QF7yraZ0DxL+94EgsEV1VWZSdPS4pSq0wgqXyiy9WK7SprZEKUhlc4mXNYbTgftKcdmlhx7LZqZapVkaWZt7WFKn3tQTh0nHVQj7q9apDXSoypfmC3VF8SAc7bVLCVwqq19mTKBQyIFAOqgM4FepoYEjp8XpOuNV0nGEqKMukK1BskcDgfOOeccvP7660TPP3jwIIYOHYq+ffti8+bNePTRR/HAAw9gyZIl1XmZtY5YByct2XrxRq/jEHdCEU3WWnQqxMljSmjLiKgLLifj4GQ26CWNMlY2XLcplg5OJuh0XEL25FQ5OKVVc0sL1cFJ5TCWqkn3JVpoHMwRqVeEEjjmhNstQ9MtlRM4JPYkCAK1PZFVkhFUOUt7E33lS6wJYSzoXD9wenzSZyYnzZxQZaZDRS9T/hn1E1TP0zv1BB0D1aBzJqKWEGW2VPc5LUvgtMgKyNQUlFfBo0HbUU0vlmZvAsVnPxR0Ju/AIZG+odmb5L9TdJCMVZIx6hbKFpkgQ4YMwZAhQ4if/9Zbb6FFixaYO3cuAKBjx47YuHEjZs+ejVGjRlXjldYuTjvEm71ZmmgptrnQ4CQob6fJ1pP21YvvWeb0qq7r9fPSJqZ0s9emUxG7BF98rNjuZjf7Oo7clgAgLyMF/xRWarInh0qVFm12kTRbb6UQBicOFCTUvhxbzJXZUt1HtKccmwl5GRZA494kn3SnNi2WxJ48fh6+oPNPWplJZE8E7cs01TQi8VqXwRyReoPo1JsNOlhNeuSma7cnVU0y2efM7vYhwxJ9Joq1nnpAiyKBQ2BLSDAhGk+TjFW+1H3EBE5Dmxk5NhMMOg4+XkCJw4PcDLpJjGpVj2mUVc5O4vZlmoQojXA/+bRk0VbMBh3MhvDfnw09Y9Q1apQm2YYNGzBo0KCwxwYPHoyNGzfC641tdG63GxUVFWFfdR2p+sVmQpbVBMjaxmiQsuAKTjhNea/aQSzWumoZDLlwOFnZME22XskRYTf7+oC8dRkAGiRgT2qVZFZKZ1lNHFZal0q4n66FU4vuS7x2S+aI1H1Oy1paGlgDDmiV148qyulZLi8PQZx0pzaRj+Jzj4jBFLGwUgSISaQApL1Ow94UM4FjYfZUHyiWVWVyHIesoD2Vatib1PYSs0EPkz7gDpBV94tOPWHrctAJJ1lT7fyoTZMsdgInZEss4FzXCSVETeA4TjrrnXZoCTqrTF7W2G6pmhDVNKRJ3b8ThHD5HSXi2RLklZlMpoZRR6hRQbLCwkI0btw47LHGjRvD5/OhuLg45mtmzpyJjIwM6at58+b/0tWeGdw+v3STyrGa0SA15NSrHUIiUWtnAaXYOGkJPihaWuzBwENAxyz+x9VGkf0XiaehBCZAWW+QSvCDB6asoD1pckSkykzlyheXl4eXYKoraQk+VUuLh+wwlqpB96VCRbif2VLdR65JZjMbJO3JEiedPcnbfC1xglqiw0ByIBdtKcWog0FhHwHo2rlIpACkBA5V5UuwytkSY2+SKslYkKwuI28PgyyBc1pLAodo0h15mzF563Lg57wQ2PdI1iTf7+jPepH2JNqSx8drmhrKqD0UyxI4CDvr0d9H1SrJqk8KgF6mRinJmmLQS9OSSQN6oQ4cpSpntjcx6gY1KkgGIKrcUwz8xCsDnTZtGsrLy6Wvo0eP/ivXeaYQD04GHYd0i0GqJHP7eOJMgIhaOwso2y1JsuoipDd7kjHGSLilJVa7peiAsZt9XSZUlRk4OCVSSRayJ2WdCiRxOhEoW1qI16Rst3R5/VJbdDzdF1b5UrcRBCGq+qWBxqCzU9JQ0kcJ14vYKBwRO6EDDoqWFi1SAKSJrAoCTTJR3J9RNxErXHJsEU49ZcAZYZVfyUmISgEtlYSoxUjuhJMGCrQFnWOf9eR2y5I4dZvooHPgs0CbwAlIAahMXqbwm9w+cikAGg0xkvZlnY6TKqtJK53jJUPB9iZGHaRGBclyc3NRWFgY9lhRUREMBgOys7NjvsZsNiM9PT3sqy4jv9FzHIdUU0hkntaxd6qIuYK2pYUg6CZiJXTCaQMFdOLIsYX7wW729YbiiIOTGHTW4ojINf5iYdTrpAEZJAdyJ6E90bS00Iojk06LFX8fjgsdEEXE7KLd7QNPIArNqJ04PH64g0GjSHui3ZvUpodBdo+mkQJQa10GRUsLqRSAvJrGTSgSTaZJxoLOdZniiCpnMYGjpcpZksJQSDbazKH7tBoOQg0luROunhClkwKgaV+O1zWg13HSfsXsqW4jT+BAftajtCe3j5eGW8SdvEzRbin3WVSlAKqhaIF2+rLSUBmxa4AlRBl1hRoVJOvVqxdWrlwZ9tiKFStw/vnnw2hUFhKtLxRHZBc5jtNcNuwgOjjR98ATCfcTtrRQO/UaSvBj3expfm9G7UXK1lvDD06JVZLFtyfJsScS2ac75PAEuhK0E/6clCX4NpMhqvJHrnvhZC0tdRZRj8xi1EvBKK1BZxJ9S5p2SzuhAw6KvYRUCkDeLkq6PykFybRM92PUPiKrnMVgGW3lCwj1LelEwcna9kHh2JOcR+U/txM69TwvSO+tZE80GmeM2gUfFOhHEhI4YUGtJOjPUkkBmLR0DZAF3kg//1JxQQwpAC2t0AxGTUb9xJgAdrsd+/btk74/ePAg/v77b2RlZaFFixaYNm0ajh8/jg8//BAAcNddd+H111/HpEmTMHHiRGzYsAELFizAp59+Wp2XWasIVZKZpceyrCYUVrioD0+iA/xvl+CD4kBGPY3P4yee0qLkiIibn9vlAI7/BRTtwqKvVuLAkRO4qn8PdOvWDchqA+R2AUxW1fdi1ExEe8pJS+zgBFKNP7MBxXYPVYuY0nqIcsL9io5QSKeCtH2ZVsw1+r1TjDpwHGDwVOL4xu/R3nwKKD8GeJyY/O4qZDZogAmjhyOv2yVAo06AniVEaiPFEbaEBNqXHRRVziS2ROXUm8iqkkmlAPQ6DhajHlVePxxuP7JtqpcQ0lCKkcARnZ6qY1vxzZtfoHOWF2c10AHeKnhgwmvf78TZHbpgyA0TYc5pqf5mjBqJtDdFaJKVV3nh8/OqDrUcJ4HDrKV9mSTobDMbUFTpTlrXQKpUSUbmiAcqrAP/jmVPqWY9DPBBKNiCj/M/xe7du3DbZR1xViMrkJoNhyETW4pN6H75NbCkNyB6T0bNosLllVoaIzXJ6PemUFBLH0cKQJq8TLI3EU6KBUXAmVQKABral6VKMnMMWwru1wZXCbD/J/hPbMdjb3wGh6MKj47pi7wWrYHM5vA27ApDw7PB6WpUnQ6DEUW1Bsk2btyISy+9VPp+0qRJAICxY8ciPz8fBQUFOHLkiPTz1q1bY9myZXjooYfwxhtvoEmTJnjttdcwatSo6rzMWoU0jc8ackRCjj3dlBapr15RzJWm3ZJs4hEobvakFQDie/p5AW4fjxSVsmUoVJKVnzyC8q+ewpVHN+H/LBXA74FrfPN9B3456kdH+3p0OxB4zc5TAsYtA0YO6I1pz74CrnFH1fdl1BxOR4i5NtB4cEJYQFfBEaGY/kPi2CDY0mI16eHw+OFw+9AwzRz3uaTVaTapfZns4BS3KtPvBbfrGwz9exoW/rgHL68x4p3hFunHC7+vQKkLuM7yK/I26AGDBTvMPfCHoxlG3fMk0hs1I3p/xpkn0paQwCAMJ8GAiTSKlpaQ0HLyHBGaQIHVbAgEyUjtqSqOXmb5cZx36B0sM32L++btxJuH/JgzyIyHegX+5ifLeTz8hh167itUFrwGNGwFdLgS9pYDYW3fjzkltYhITbLMYCuTIAQCZfJEqRok7cs2sY2XZpI5hT2pffaphfsJpQBEDSWTXhd2LhR4HoW//Q+PeT7D+eYNyPjOiRvesGNXMY+++BNntQm8z4YDPgz8yIkmaRNx9NVh0HUeAXQaCdgaEr0/48wjJnDSUwySPE0DjZWZpMlQBCc7qwW0texNarYkb0UmnY5O2r4cLyFacmw/Vs6ehHtLd2BySjHwkQCdIGDWZ5UQADzefi+wJ/B3eOcPD2as8+L/Rl6AR598BmhzKaBT99kYjH+bag2S9e/fX1EjJz8/P+qxfv364a+//qrOy6rViJONsqyxsvV07ZYkOi00ApSkhxzIb8xqN3vCaXxW2e/g9PiJgmRRN/uKE8CGN7B+0duY+9FpZKYAc3qmQW/LBnK7YkS/QnQscqJj7w5Alg8o2oWNW47gz0MumH74EY82vQho0Qu4YALQ+Wp206/hCIKA4gh7Ev9b4fLB6+cV26giITk8WQm1+HheXRw2bF2zAQ6Pn7ylRTW7qE2TTJrgWVkG09aPofvjLaD8KAZnejHfBxyxG4A2lwPZbQCTFVOPrcf+IwVo0qU5ULoTcJdj4bJVeHmDB8uWfIT/zbwbuOgeIOdsoutgnDnEvSk71t5EO92SoJKMKoFDJdxPti7dfqdHsZ086FwZoaH0z6/f483nHsbL559AZ84P6IBrO5tQ7OFgbd0d6NUPMFrAHS/AmD7LwbvKYTH5gbLDwG9v4O7/zMbfxQa89vi9uHTCM4Axheg6GGcOsZJM3JMMeh0yLEaUV3lR6vRQBcmkvYmgkozMnmj2JnFqZnKkAFIpWs4Qw5bA89i2dDZu/L/pELxubLvbCo7j4DGm46ZLcnG8KgVN+vYG2uQBztMoOf07Gts2YsjZOugOrwUOrwWWT8OsvWeh//X34sIrxxJdB+PMcTqidRkJaJKRyGqEDWny+JFhiX+OpJECIJ1kLkkB6HVSUDDutVLaU1RCtKIA+GUu5s6aj2fW2HF5az0e7mQFstqAy+2CqdfthdFkRs7lvYGq08Dpvfiz4FcU2f3wHdsMLBoFZLQAzr8NVZ3HwJKVR3QdDMa/QbUGyRjJp9wZuEFlpoYyzFnBf1Pf7N0EByeKdkvaEnyQ3OwJsyx6HYcUow4uLw+H2xcWRIyHeHgyuUux+4On0P7oYsBXhSGtBQzrnAFfTls83XQSnrvzBoDjMDXGWWjoqO14r+tcZFXuArhdwJEN8B36FVePmYCbx96G0ZNfZtn7GorbFypJF+0pw2IExwWy9WVOr2JVlpzAxCNyTTK1Mny5dhepY0/S0kKu8afNEUlPMeDr1x/Dg0+9hCf76jHuXBNgbYji9n1w8W1NMOPxycBZOdLrHhkgW4TngaIdaFP+BDoc+AETztEBGxcAmxbC02k0TrS7Ba3OuZjoehj/PuVVgc9AhiXW3qQtgUPi1JNUvjgIggQixBpKFPud1vblBpwdri8noe9Nc1HsFNDbYsHgy/rg2ePdcfTyftj67bCw1zUD8MktwW/cduDAalT9/SWW7V2Ikiov0ja/Ccz7DrhkCtD9VkDPjoA1lZj2ZDWhvMpLnRAlqVaxScEsGv1ZdXuSJvIlbUiTmGDVkMA59Auw/BG0OLQFh4urIIBDvutSLNNdgtFDR+Gxx1pFvX70cOC6V3l4Cv8BDv4I7PgC+7ZvxCMf/wnh43HY+/J/cfaNLwC5XYmuh/HvE8uWtHYNqA1oQlCn0mTQwePjYXf7wt43ej2ytn1QnMto7DOVsDpNRKzMTOXtKP32aTTY8jbgdeCe84DlB20wtzsf/fy34+cHbgYAvDA6eo23b6zAzUveQVvfP8CpVUD5Efy96Elc9uHDePjmQXhk3v/AmQl0CRiMaoZ577WMSnd0W5P2smGSgxP5DTS0eRDcmE1kBzKqbL2J/Fq9fh4uL4+ORT9g4Hltcc3D8+DzOIHmF0F38xLcunAr/rloOgpSzgYU9M1yWnfB7TPew9Wv/AI8tAPoPw2L/jHh2x3luPvJuSh5fQBwcqfq9TD+fcSMGMeFPjt6HSe1tdCIjbu8vKR7YiXRUVKdnBf4uY6DNBFTCfKWFroJYjRC4w1RhodOT8fur17GwRIv3tgECMNeAR7cjiVZE3C00cVwehWm++l0QG5X3P3Kl9h5woFBT38HtB0MCDzey/8QHc/vi1cfGAn46FthGdWPFCi1RO9NpymlAOwElWSiJopHFuyOR3W0tNBU09hoB2G4vRig24Se3w9Byt8L8EgfE0b0aIJOdy3EvqGf4XN/P5z0pSovYrYBHYfDMmYB9u8/iI+fGovzO7QAKo4D3z6Eb+/vht++ep/oehj/PiGBbLljH/g3rbQGWYuYODWVIkhGYE+hALFa14AoBUDWNUCTwElxl6Dv1ieA/KFA4VZkZGTgq1l34eihg9h0zlP4U+gAuzd+1wun08HcpBPQ5wHgjtUw3LQYt17aDqM7G3F2xXrg7UuA7x+BUFVOdE2Mf5dYLYJah8qEWpeVP6dSF46KPWkpLnD7ePj88fc8qjVN9EHnVoWr8NLNvTDliecArwNodgFy7/4Ky7cXY8e5U3DY20CaABoLszUdA26dgpbj3wMm7QRGvokFu6woreKxbcOP4OZfBPyzjOh6GIzqhAXJahmKN3vqsmH1oBaVODJhKxeoWlroKwBIprTYK8rwrGEBPsxeiCqPH06/Hod7vwSMXw60HQhr8MBINaUlPQ/o/wiufv1vPH3bQLw8JB3ZJZsgvN0XWDsb4Nn0pJqEaEs2c/hERtGexHYXEuQOtUWh1VeL3hHJEAqSlhZ5tZvqxCPKg1PW0ZVYYZ6KrvZf8EAvK1668wqs2XoY3AXjAWMK9XqcTgeuTX/gpv8CE1Zh/eksuHyAbu8P4N++BCjaRbQO498j1t4k6pNpriRT1Msknxqprd1SpT2MUAoAFIECAHCUnoLls/GYXD4LxqpiIKcdJs1fhq82HUfXAddTt0IDQGZeS9w0PR+4/y/gihdwmk/HbR/8g94jb8dX069jgecahj/ORMasoD1priQj6BqoDikAUHQNWFU1lCirnHesgjN/PJ5f9At+P+YDzhsHPLAZl/7fm8jMa0m9NwFAq57DkP/Tbnz607aAPpnAo2LtfFzUPhdrPn2NeB3Gv0NljEEo8iFNSrJAkTgJ/RzaimSSvUme5FGyJ6o1KSpIwfsxvHgBnsI72HvKjR8OCrAPeR24fSXQ5rKwIXBqk9YljBbg3Bsx98ej+OSFB/D08NZA+VFg8Rh4Ph2L8pNHCBZhMKoHFiSrZVRURVeSSU49ddmweHBSEnMN3ejVNhKa9pPqEEcm1aoo+2cd0hb2x82GVWho1WH5zJuxbe9RtLniTqlqLJVwwlks0hs1w5Pvr8DYBduw1dYHHO/D1k+n48oeTVC4bxv1eozqQcrUR4hja8kwOqXKF31YwC0SG2m7JUHmP2xdgpYWp8cvVbsRTzxSsSWf24Wpo3sj/+n7kIFKFKa2g/netZjy1vewNmgUWo/SsQmj2flY9OtRLHzuftxwQTZ0p3ZBeOdSuDe8S78Wo9qIFSRrYA1WvmjVJFP4nBr0OqQYA0cYdS0+mqEyZJ9VUqdevqbqflK8F/93ZWes/Oswbv/ahcrz7gHuXAfu7Mui19JiS8YU4KK7wU38CRd3a4XueTpc4fsBWDAQKDlAvx6jWpB/nsODZPRVzoIgEFaSkTnLcueXrN2SbHoeuSZZcK/z+sErVKtAEIDf38awbfehXwsOTTMM8A16ERj+KmANtfwnsjfpGrUHRn+Aims/w/QNRvxx1IXx9zwIz4oZLClag4i5NwXbLb1+gSxAFMQhO+spQdo1IO1NBB04JoMOpqBOrl3Bnqh8MZP62THwhkXARyNxnXMxLm2lx/w7L8a2nXtg63mL5DeZDaGJn7T7k95owpj/vIq20zdj99kT4BX0mD5/Mc7tdDb++OYDqrUYjGTBgmS1jJBjH32z115Jpt4e5vUHpkYqrkfQqy+S7IlH8ucoiSN/MOMutDi3H37fvh/HhBzcpXsKPR74ELasxmHPox2LHIsF23wYUXwPpngm4vav3fhuSxEmjb4YKNyueU1G8ggFnMM/W5katCpIpoeBYhBGKDhMNvyBpFJFtCWOU652A6l9uiqwbdYQvLp0A77Z48PD+87Dku4fAI07x7g+7UFnAPDywPuGqzHEMwtr/V3hczsx7Ka78cCIHvC5XZrWZCSXyhgTTsW9qcypMVuv6oiQtYhpadtXa2nR4ogo2tOBn4F3L8PTPavQqbERKZdMgDBwRpTIPnGQQIFNlenY3G8eut00DW5jOlDwN/DuZTi0fomm9RjJRdJLNehgNoRsQIuOksfPwxf8nChWkgVtSS2BI37udQT7CKgqasiq00QbFgTA5Yu9n3hdTvi/vA/4fioM8OPqKy7GtS99gz6j74u+Pg2VZJHc+3sDfNfjNVx2bgt8dLUFpl9fBj67OaALyDjjiLqV8tZli0kvJVloKp1JJ7uSJkRp9hEQJnFohgGEznrxP/871n6NweedhZKdP8OJFDzguRe9HvsGDZq0Dnsex3Ey30mbPf1T4sfg7Zfhasc0fLKDx6ESL3YtvB/Y9rmm9RiMRGBBslpGhZQRCd3sxUoYEi0JOSTiyNaw8t7kOfa0wv1WEu0LpTV9HgjfPIjv/7sAlW4Bb+7JwVD38/jH0j3mWrRjkWPx/fYCABw+5y9Fx9tmYUindLw2gAfeHwzsW6V5XUZyiFdJpsWeSGwJss+Vmtg4jVMvX1fJnuS2pNbCqbpeRQGwcCi6+//CR9dm4K6JY7Gk+RSkplpiPj2VJEigwO7CShwpcaIYGRjr/Q8+8A/HqoN+vL98Mw7MGwl4HJrWZSSPiqrobL3olHj9AlxKenQRhLLrKkHnFLLPFV3VF2lLixYpgNjXeWzFG8DHowB3BRp17AXL2PdwoPnwmNcrvp9SkECN5dsLAQCr9b1wg+5loEkPvLv+JNr3vxafvPB/mtZkJA/RltIjEjiiPYlBNBLkZ5hUhaCWvGtACXlylUQKgERag0YKIMWok2RiY11rZfEJjOh5Fh6e9R7A6bCm1f9hEjcJtobNYq6XUJVz8BrW7S2G25SJ/YPnwzHweUBvBnYvw19P92XdAzUAKSEacZ4Sz3oVFPYUqnImqyRT+1yFtPjoznpKdkqaZAJB0I3fvwZjrr8WK/Y4MGmNETfieXzN94l7vbTTZyNZtasIALDd0AmpY9/DB/dchLHdOGDJ7cDalwCKZBuDkSgsSFbLiBpnLfs3zcEJhJk7nY6TbrTqwqs07ZZkN1KS0eXSmvGqv9yVwCejwW1aiPdGpOK1+4fjtrc3oAI26WAYSTIqyY6UOKV//6XvhG//OIicTv0Ajx349AYU//aZ5rUZiRPLlqDRnhwEQuOg0eIjDBKE1lX/vGq1pcgKoJ3rvkXBnH7AyW2AtSFGv/wTqnrdE7yO2Ncrrqc16Hy4JBQEE6BDab8n8PkrU7H4+gy0s28AFl0XsHPGGaMihu6L1aSH2H1M59iTBp2DexNp+zLBZ5+0pUWbFED451/gecy8YyjaDrsP6w9VAZ2vwYkRn6KYy0aqSS+1rshJkVUWkehvxuKIzJ52Omw4Oepz/FTSGB4/sPXbt4G/PtK0LiM5xNJQQtjeRNEeFvwMmw06GPTxj/yk7ZYk+mZySIbA0EgBcBwnE++P+PxXnsTapwZi+daTeGuTBwd6z8ba7BsAcHHtVAwcaq0kO3LaGfb9F/6LgXHf4pArA0Ne24J+fS7Aid2bNa3NSA6x2i2h0Z6IK8kIE6J2SnsiOUPS7U0KQbdtn0O36Fp8crUJw7rlYPb/fsM2T17YdURiTbAy86jMb3Kac9Duoa+AXoEKUNeKZ5A/9WoIPHnCjcFIBBYkq0W4fX6p5VF+eBKziw6PX7E9JJLQxC+VjAjhRkIz7ctaHS0tMapfCvZuwXu3dwcOrAaMqbCN/Qz3v/Y1nL7w64i3VuDwRp+5cLh9KJYJv9vdPhxzpQA3LwU6Dsd3uxxo3e8GfD3/Seq1Gckh3sFJtCe67CJZ5i6t2krw1bOLNAcn8TmCgLAKoK0/LUG/IVdh2Nv7YbedBUz4EWjaQ/p94mYXzYkdnOQBZwDYeaICox58EVc+vwIwpwOHf0HB61eisviEpvUZiRPLnjiOk6qeqeyJsH2Z1BGpjpYWp0f5Mx++XgwpAEGA/8ensX7NSrh8wE++84FRC2D3GxTX1ek4WfuytiROpD3tKvZj0c/7sOTR4Zh5uQn4+j5gI5t8eaaIuzdpsCUnoci+1G6ZRJ1YKASI5Yj2Tt7CGePzX1EA5A/FsIbH8PpV2VizJB9nDbwd9uBEeLW9SWtCNGpvKqgAml8IfvSHSDEZkKrzImXprUD5cU3rMxKnIoYUALSe9QgTmLTtlsnsGqCTqQnYUlXE2axy3TvAkgkA70WX/tfg241HYc09S5paGbfAgFCDMB6HI4LOOwsdwODnwA98Ftf9rwq3zf4Kj465mFWUMf4VWJCsFiEPUtliVJKBdEJJEFJxcJJMoMfHwxMMdtmS2NJC5dhHOA7Fu/9A74suwMRF+/HRPynAuO+A9leErRt5CBURD3Z+XpB+LxrEg1NmqhFdmqYDAHYWlAMGE3DtQnx2vAnsHmDRmy8CB9dRr89IHClbb4lst9SSrVcXGoeGiUekmmQk2UWag5PcUZEOO4XbYfju/6CDAL3ZCs8NnwMNWgGy3yfewSnSNmkRs/V92wYEl3cWVAR+0PxC4JYvcdJrw6Uz1+PqfufA7ajQ9B6MxIilSQbZPbaCKltPVvllI5xCTOvYkwWdKTQ4I3VaBAH46RkYfp2LJaMtWPL8BDz54c+AThcKOMexJcjblzVUkrm8fpyscAMR9qQzGHDNs1+BuyhQFSp88xC2fD6ben1G4lS6lW2JZm8ilcEgbbekCQ7Ln6fkNMv1bImmOUdUq5zctxWu94YCp/cBGc1x7/t/4MLhY8N+H9XKlwSrMkVbOnzaiUqXF2f16I+1a1Zj5b3tkOU+Anx8DeAs0fQejMSQpDUskfakQVqD1J5IdZcphzSRtDPSSAHEqiRbOH0i2g29CzuKfMAFE4Br8wFjinRf4rj4rdupCdtT+Flvx4nAeU7X535cMeI6pJmAy0xbgLVsb2JUPyxIVouolFVryNswjLIpX6Q3e7kGhFqZL4nYuNz5JSkbpp3SQjbKWHadxXuR/fXNuLETh7NzzOj98GdA0x5R68YtwZdtWFpu9mI2pGVWKjrkBoJke04GRVz1Rry/Yjvmj78Ai642A4tvBAq2Ur8HIzEqVLL12krwkzTxiKIqE4TZRRpdJnm1isPtA07vBz4aiU5plVg79Xys3LANWc3aRK+tYk9axVxFexrUORcAcLLCjXJnMPvb7Dwc7zsLxysF7D52GgX549lksX8ZnhdC4shJsKdQlbNa9QtluyX1tFj1bD1RS0tEEHvXx/8B1r0MAEi5chaumRaa1OogCEKIzk+Vlz7oLDohaSkG9GqTDQDYUxhsVeY44IqZ8J03ARO/qcIFNzyMlR/Mon4PRmLE0veDvPKlil6TzKpmS8Gfe3w83Apad3ZJWoCu3ZJkqAxxdZqsNbTk2H5c1vciXP3mNrhSmwLjvgWyzoq63viVZMmpfDmnWSYap5sBAPuKAme9lt36IOe+FUB6U+DUP/jtmSvgKD2l6X0Y2oknrSHuVTT2RCqKL1U5E3cNUCZEkyQFEDl52bP5M7z61vsotAv4tKQLMHQ2oNMFrzV0L4k3xT2u7A0Bbp8fJ8qrANlZb19RSEbj3pc+wYGvZ2NgGwOw+llW7cyodliQrBYR70YPmSNSTnizd3l5qVrVSlo2TNDKZTLoYFTQvZBD0tJC18IZWM9acQDIvxKc4ySevaEH/tq6C23O6x/23EqV9jC9jpMCj1pu9mJ2sUW2FXkZgelkxXa39HODOQV3v7UWhtZ9AXcFsOg6+EqOUr8PQzvxSvDTNBycSDXJ0giz9SSOshy67CLpmoHnHdu7DfvnDgMcp4Dcrmj/8Apk5rUMe65UmRkvWy8exDSKuYqOfcfcNOlveEpmTz2uuAnf5c/BrxMy0OrUSuDH6Zreh6GNgHZd4N/JsCfSoJYkBZDkabF0jj35oBqn24+F0yeg860vYe5vbmDw88BFd4U9V21vQoKVZGJVZousVNneJJuWyHHgrngBlSlNwfPA/qXPA0W7qN+HoR11vUx6TTK1oJb8c5ysVi4QVjnT6jKJn3+Xw47t827AweIqbC3icGrIe1J1s7R28G8Zb9+zBteKbDcjRdybWmSnIjcjMLgmzJ4ymwM3L8WX+03o99KfuHlQD/A+bfsgQxvxEqKaKskI7Yk8IZr8Kmeqac5yKYADP8P07X1YM86KVyZcgmc++RWQVXaqyWpAlhDSYk/HS6sgCIG/bZcmgeKCMFsCkDN4MtB3CgCg9POH8Nv/XqN+HwaDFBYkq0XEyy5Cw+FJHvhR04CwKgk7BqGd0AKCm72WFs7c0s04+ubN4CsLgEadwY37Bml5raOeS7KJpCYgQCkenFpmpSLbGhjbfjriZg9jCjDmEwg57THz+8Po37MraxX7F1HTJNNycLKpCo2HdCqUtO4kp4EwW0/W0kKbsdTD5K3AfdcNQO9X9mCzozFw0xLAkhn2PEEQiCsztQScPT4eBcHsYovsVOTYAtn607IgGQBcMuZBNB8XrMj59TV4N31K/V4MbYi2YtSHkgsiWuyJVBycpN3S6+fhCWp5JjPorEW4v4P9d2z74WMIAE42OB/odW/Uc0mC2Ym0Lx8W96bsVGRbA7ZUHGFLeqMRH67cil8e6427ugvAp2NYq9i/CMnkZVKtVNKBSga9TjoLkrTtJ7PKWUvgjQOPrr9PxiWWPfhpYiP88NXnaN61d4y1A++rJq2RqCZZy6xU5EhnvXB7QqMOaHT18wAAobIQ7lUzNb0XQxvxBmFIlWQaNMmshAkc9SFNZFXT0ro0QWciKYDAc/Jc+4HFNwF+DzJ7jMSDb/8EThe+l5MkmxKpJBP3phZZoXPeKbs7+l532eM43OQqXPiuHUNufRB7f/+R+r0YDBJYkKwWEe9GDw0ClE5ZyXy8slkREgFKWqceBDd7+eMkGcZ05zGc+O/TeO2XCjz7VyYw9hvAmqN4vcpBMu2jjI+UhJz6bNnNPoqUDBT0n4tZv3rwy75y/O+xa5gg5b+E2gQxbWPByUrwfbwgDeGIhZPSaUi2cD+CU7+m+d+G4K2CAA5po98E0hpHPc/t4+H1q4i5msJL+mk4XlYFXggE8xvazFLQOTLDCADoei1w8SSsO+xD2wE3Y9PyRdTvx6AnFHA2RmkK0dqTIAjESReSQRjylklqRyRJUgBWswGtuAJMtb+IlweZ8M2jQ/D8orUxnysKjcerykRY+ya9PR2VHBErsm3xbclsTUPPR74GMlsApQfhXTwOPreL+v0Y9FTI7EmO+Hn3+HnF/UOOg6I9kmRIE2nVtIhV1s4YL7BHIwWA4O9yv+5zNDv5E6A346L/fIku/a9SXDuuJhlBa3U8fH4ex0vlZz3RnqLPer2vmYgNHz6DpddbYNkwG9j1DfX7Mejx+nlp+FBUkExK4NBPXlZP4KjvTZDZE/lZT30QRmj/JNEk08PqKsTBBQ/iiy0lQMuLgavfAXTRrw1pz0b7oKH1tNuTuDc1lwXJPD4++lzLcci96XXkZKYhwwy4vnoQcLECA0byYUGyWkS8yhdoKBumyV4QaZJR3uhBMPVIvEaiFk5nCQZt/T/MutyI9o3MuOu1FYA1O+7TK6WbvVK2XnslWVFFwJnITU+JW/ki0qRLbyye/zzeutKCmzP/BP54h/r9GPTE1X2pRk0yq8zeSETBk5ldpBVcvsH/JW7L3Ix1t2fgx/+9j7MvuDzm8+TvaY1zvaH2MPqAs2RLGSngOC5kT47Y9oTLHsecbZk4XMZj+uS7AHsR9Xsy6CCRAiB1RDx+Hr7gBC3VFjFTSJsoHqLmpUmvg8lAKgVA0NJCODUQAMzeCrxteBk2OME174krn/4iKksvXW81V5IVVYp7k1mypRKHGzwfI4BhzQZu+BSnPCkYOGMZHrmpf/RzGEknnj1ZTQaIOU3ihKiHPABF0iJGWjUtIr6vIABV3thnKdIJnCKG397GRws/xsFSHrjyFaBlr7jPVUsOyStfaCeZlzq98PECOA5olBY668VM4ADocePj0AUHY2DpnXAc+JPq/Rj0xBt4Bo3ty8RSANSTl8+Mxp/VyOG8TU9jR6Ebk3/0wTXinUCXi8K6SrafSGVmUXCgTF5GCiwmvWSbUV04AMzWdHzxw1psnNQGXU1HgaV3ADz9kDUGQwkWJKtFxNNQggYBylAJPsm47eRXqcifG7+SjDDw5nECn96AtMr96Ne5MXpO/RCNWndQfAnJJpJKoJkWjxJH4KaeZTUhJ5hdPO2IfXACgMG3PYI7p70Y+Gb5NOAoOzxVN2oTxOxunzTuWg3SseA6HRdy7BWz9doOTsrC/eTi5a4d3+PmyoUAgL3dp6HbkLEK64aqSPXxxFzN2ivJ5LYEQLH6BQCg0yP/uw2YfFljfDaSAz5nQv7VTYVikEzcm8juozSVX2JGWzmBQ6d3BIKgc1gLp8o18j4fnhhzMV5eth9HvZnA9R8BBnPc51NNt9RgT6LDkWUzSzbFC0BZvLNDbhf8mjcePx/2462vf8fRH9+N/TxG0oinoaTTcdJnk9SeQlXO5Np5YjVjLGhauRDcF8Ti0nh2SuJ8i/hObMd3nyzA34U8pv9zFtD9prjPFQRBfZJ58HfmBRBX54mIe1ODVBP0Ok7qGlA662HQs+Bb9sWTK06j+0V9UVl8guo9GXSIPpE1xvlETODQtVuSnc1CWs7x1/bJKkKtpJWZUvI+Of6Yee1zeP/SMjzYy4L38/ORkt007nOl4gLFoTLaK8lOR531lBOiuWd3Q87tiwG9GdjzPVyrXqB+TwZDCRYkq0XEOzhBSyUZRaUKSbulQ+Yok6LW0kLS/877vHj+lotQue83+EzpuNXzCI4KjVTfW/xdlFparBoryQRBQKkzdLMXb/RlTi+8foVDWK/7gM7XwO31YfrEYSgrOEz1vgw6QrovscVcQVAqL0I6FhyEgzBoq75IWlpIA29Ht/+Otn2G47Ntbiz29ce2vGsVn0/Wuqy9KrPEGXJEID84xanMBICMxi0w+7N1SE21AYfWAevmUL8vgxypytkcXwqAtJJM3A9SjLq4QVcRksoX2lYuELS0hFVPqtjT2jf/D19vOo4Ptnhxa8F14K3RLcvh1xv4O5FMt9QyCEPam1JNMOp1yEwN/P9Rsqer7p+J1+8bgk13WNH8z2eA0kPU78sgp1IpIUppT9oqyZKnH8ZxnPTe8eyJ2Kl322FYMharb7Xg2gty0XLie4pPd3l5KdEVb225Ji9tQjQUJAv8P5ESogq2BL0BFYPnIX8rj72n3PjfkzcwiY1qpDJO6zK0VpIR+k42gsSl/Gf0wv1JsNGdX4P7ZS4MOg7e/pPQ4qIRik8Xz8OKxQUJVJKVxkmInqpUCDo3PQ+4cg6+3+vFWdc8jl+WvE39vgxGPFiQrBYhaShZYh2c6HRfSNvDQNpuSenUg6BCzUHg3DxxS3889t9tGPpJFQ4Peh97hWZEN2eSQ5nWm73d7ZM0mrKsJmRajJKzV6KUYeQ4YPhc3PQNh6d/OIU7runHDk/VhCAIoSBZhD2ZDDpJfJzUnmjal2kce9p2S6WWFqKDE+/H3MljcKzcjxf/0OEJz61wxFlPulaCiUehSrJEDk6B/08NFXRfwshpCwx7GQDwvzemY/3nb1K/N4OMCsmWYiVwDGHPUYO0nQWEui+0mi8gqHIW7dNs0MGgJAVwfBP6ly7Gj7ekYvCwK3Cw0aVx7ZPmei3S3qSlMjNwT2sQtCdR4y+mZqaMe+d+hfbn9gLc5cDntwN+8uoLBh2VivYkVr+QSmuQJ0StJPZE2RoJgknmxE798keA0/uQ2TAP+y+bA6dgUny6aKccF9DYjIV8kjltEkeeDAUQdxBGJJlNWuPT917Hp6OsGN9oC7CFDZmpLkJ+U4wqZ1HLmbADRz5MzEoYJFO2JXopABtBhwvJ8JdjO//Eu4/fBkEQ8LHuKnzL91LVuBTfszqKCyBLiIr2pCqtIXLuTfjkWFMU2AW8+OQUNmSGkTRYkKwWoTQanlb3hVRoHMTtlnQaSqAQ7o97cPrrQ1yZ+jcaWzncdfc90LXqHXyd+s05JECZ/LJhMRCWatIjxRgYjJBlJXTsUzIw9dnXkJfGYWzrImBTPtV7M8io8vqlDLOSPZEHncVDCUVLi5LYOOW0WItRvaVFCrwprfnLXMzqWYyZg9Jw5dR58OpSiKczkbSHef2C1KZGiujUZwUdkFAlmULAWeTcMfigpAdG/8+JMRMeQMmx/VTvzSBD3HdssSrJqPcm8vZIkqpMKYBN0W5pVZnGSuKEwG0HlkwEeB8uu/JabOt0r+KaIkQtLQQtN7GQVzln09qT3giMeg9IycCerb9j/oPKVQcM7diVKjOl6hfSIU3kVc5pBC1itFIAIDhDkpwfl7/9FDZ+lw+Awy/dnkcJ0lU///IqUqUBVVaN05fjSQGQ7E19Rt2JGx54KvDNd5OB4r1U780gQ+l+SltJViUL/FhUCgxsYUM2lBOXVHuTit8UHsiLvS7v82LstUNwxxclePSPTHyYemtgTUJ7UjzrJSBTIyVEU8UgGaE9cRzmL/kZT13RGP+9mgO+vp8VGDCSAguS1SKUqrXSaHVfKCrJSCpfaDQlRNRaWhTF9Q+uA759CL2aG7Bn8RO46ZFXiVrOoq9XvZKMNiMi16kQybaSH54uHD4WB758CcPaGQOZ01O7qd6foY74meO48HYLEVp7clBUfpE49iStxnJoWlriabPg+CZg9fPQ6zg88uJbyGjXS3E9EfGAaVX43eVt2LSOfShbH175oqj7IuOaJz9B+0Zm3NpVh/SfH2eHp2ogNLglli2J2fpqrCQj2pu0VDnHs6X4Gmwi700egdLj+4D0puCGz4XVFPg7qCVdiPQyVYbexKPCFdJZFNssGxK0L0s0aInjPZ/Gee84cO/ry/HjB7Oo3p9BhpLuEa090VSSEbVbUthn5LpqlZnx7OnYzj9x40PPotcCB9akjYQ996LgemS2pGb7qSpn0XhEBsmkQRhOD5me6cWTgNaXwOl04JnbBsDjtFO9P0OdkP6ycjKUZGgDTeWXVWYf8YeT0duSesA59Hjcz/2v83BlczsaWDjcNv19pKQEhPqJg87VVUkm+k4RlZkke1NaThNMX7AcKWYz8M+3wMYF1O/PYETCgmS1CKd02Ik+OEnZeoUMoByqgxOJJpnCRhQPtYl38dq4Dv61BsfeHQPwPqDzNUgfNj3w3rIpSuLI51jIxVzJgmRanfpQkKxhGmHZcJCU/g8BbS4HfC44Fk+A11VFdQ0MZcSMYGqw0i8Set2X5Dn2giBQTScSUWtpkRyRGGs6Sovw7uSrwfu9QOergXPGyHTEVCrJxACJQsDAKDtU0raInY4IOuekkbW0iKTl5GHzhrV4bmAaDHuXAVsWU70/Qx1pb4rliFjoKl9o9C3ltqSqxUfl1CvbklJVNwAsfXUaJr6xGt3ftsM+eC5gaSD9PkoBPciriEiqnDUmcKzBKmfIq18Ig85NL70NN1/eDZe11qPt3neBqjKqa2AoIwiC4rRHWnvSNKSJaKgMzVlP+bNvFytRY33meR6pqx/HZa10OKeZDb3vfl11rxOREjgqv7s1eG+oSjAh2iDVCI4LnEHFc6AiOj1wzbsYttiLJ789ghkTh1G9P0Mdqeo3xv1fvMd6/QLR0AYnRVWyXseFPvdx7ElLAkc14Bx8L4tRH1sK4MTf0K15Hg/1MuPQ8jfRrucA4qQLiZazVpkanheifCexkqyYcG9Ck3OBgTMgCAIWz56CfX+uoroGBiMSFiSrRTgVWjy0Vr7QtIcp98DTH5xIhfvlgpvlhYdx5bAhuHDeCfzNtwNGzofYZxYmwKpwg3b7eEkzTDlbr7UEX9R8ia4kK1YSoJSj0wFXvY5fT6bg3Om/4sV7r6a6BoYyoRas2P//qXVfKMrm1TKBbh8PMQmtZVpsfEck2p5EHrttKO747CgmfK8DrnwF4EJTOFUPTgRC45AHnSnL8CPFXHOC2cVKlw8uFX0nEctZFwKXPgoAEJZNhePEHqprYCijVJlMa0tKAYJIRKfazwtxEyNSQiiJLS2KSRbHaeTu/hDts3UYM6QPbJ0Hha2pFtii0cukTeBEZupBoaMkZ+5nq7HygS5oaSgKTGNmJA23LyQ2r5QQJdbLpJDCqK52S5vKZ18pgYONC5B16jf878ZsrFq9FqZUG/F0VykIEWPPk6PVsY906g16nRQwI7antFzce9/9aJLG4WJuE3BsI9U1MJRRCmxZTQZJpoJEl0wp4BYL8XMfr3jBTnFuFElV0aMU3ytWwNnnckL44i6A9wIdhyO97x2AvN2YUFpDsZLMrC3gXOHySufeyCFNxZXkexMuvBMzdzTBmP+WY9yN18LvJfS5GIwYsCBZLSIkDh7j4EQ7QSx4s1frq0fYjZ5AzJViuqVaS0towlPwhuz3ovLTCdDxHnA6PRrd/B5gtEjP1+nkjr16QA8qjn1oghhtdjFwQ8+WOyLizZ6wkgwAkN4EB5qPxr4SHgu/WAn3IXZ4ShZOBVuCTPeF5OAkz/yTVL+kqWTr5UGueGLDsQg5InGqX+K1Lx/9A2e5d8BqBG64expgaQDIAwVqJfgEwv0I031JrKUl3WKAUU8wCCOS3g+gKP0cjPqoEFcPuhgCT6eNxoiPUmVyuqy9mKQFSfy8xWqDjiSVQIsvkXbLeJ99pYlp+GEaejey4+8nzsfTC76XrUnmiJNUOVs12pIYcA7fm0SnntyWzGlZ0F3zNsDpgC2fwLXlC6rrYMRHHkhSsidaaQ2aykzliXxaqpyVnfB49sSXHAZ+DHQKcANnIOOs7sH1yILEIVtSqSRT2TvjEbk3gVJaQ+Tah2Zhz5u34Iqz9cAXdwIeJ9V1MOITChJHfwZ0Ok46j5EEnaW9idDPUbMnLQPPxOd6fDy8/ugzjFIl8gv3Xo3LZ2/EPmc6cOVcqcAgtN+RSWsQDZWhTIaKlcxpZoPUdUBb5QwECgxufHIBsiwcBjatgvDr61TXwWDIYUGyWoRTwRGhFaCUbs6UGkqqLS1UN3uy9jCb2RCoX1/2MJqV/4Ff7miIH7/5HE3anRP1mlSCQ15ocqBemjoZi4QryWSaZBkWOh0RkZseeRXzxp2PTXdYYV72AOCjCLIx4qKWXRcP62qtUQhm/n0qY+blqGmSydvNlMSGI7Ga4ged3T6/JJgfdsDxuYGv78cDPU049O5YDLrtP6H1CAdX2AnaLZFA9Utktp7jOOpqCgCA3oDS3o/j+30+rNl1CpsXPUV1HYz4ON3xHXH554LEnmiCWoHECJlGi7ahMnEqX+I4IsKelcDWzwBOh5RR82FKtUk/k9qXFexJLgWg1G6ZatZWlSlOD5NXkmVQTniTaNET/p734sX1brTvPxrFh1l1ZjIQP/9mgy7m+YRmbwLpkIkgaglRQRCqRUdJcr5ln3mB53H1wF74z3fFqGp8PnDBhKj1VNstSTXJNGr8xarM1GpP1qtfAWy5wOl98K6YTvVaRnxCVc7KZz0S30mpmycWNpXKTLtCAC8e8veO9fmvjNMSWXlgE+Z8uhKrD/nxR9Y1gDVHtibZfkKyN1tlmmQkOm8ipUm0pVbd+uDA92/iqf5mGNbOBIp2Ub2ewRBhQbJahJJWC0m1V9haChoy8dYWhPjl8tWZXbSZDShdOQfYtBAAh/Sb3kfHS66KvSaBI07SzoKwbKW2bL0oNI6wICbdzZ7T6XDfvGXIzMoBinYAa16gen1dpMLlRRmJ3ocCaoMr0gjE9UNryTL/BNUv4gTA+EEyuoOYiJJOi7xqLeyAs24OcOofwNoQOdfNCXsNaQsKcbulhmmxLq9f+vvKD0+0SQGR9hcNwvtPjMcfE63oceQ9oOQA1evrGoIg4GiJk+owGwul9mWzQS9lhsmCZHTtkWrTYpWGCsRD1amP4SxUFp/ARQOvwv92eCFceBfQ7LzwNQky7PJWu+oQR46cHoYEbAkAvH2m4MMdOhwp8yH/8TH1fihGlcePokpXYmt4le//No0JUZIq/5AmWexzSvjnk77KmaZ9+ZcPn8PXfxVg7u8eHOo2OSBBIV6nypAakZBTr9xuaSXU34wkqfaUmgVc9TpWH/Sh/S2zsebT1+heXwcpKK+inoYdiZr+Ms1Zz0FhS5D7ZXH3Jnq/Sa7vGuuaY06g5P1I++kR/DnBiiev7ogxU18Jew1p+zLNdEsfL0hTNkmIVZWZThHAjCTjkjuAtoMBvwfC0jvg9yR2X67teP08CsqZtjUt/0qQbP78+WjdujVSUlJw3nnnYd26dXGfu2bNGnAcF/X1zz///BuXWqNR0moRR4V7fPHHDYet5Sa/2VuMeogJzXiHHC2OPemUlrKf30WrEVOwdJcXGPg00GFo3DVTVaoKQCg+KV9La9lwuFNPp8sThq1hoDQawI8fvoSN331Iv0YdwefnMWTuOvSfvQZHTmtvSQg54nEcEZXDTfhaocx/TKHUqLVVxFwpD2IiSkHnWNWT29d8hctvfxL/FPuBoS8FDumE64VdrxSEUGu3pNd9EQ9ORj0XZq+h7C9l9QuAMY+/i3Mv6g94ncCX9wD1uO3yhx0n0XfWakz+35aEAmVVKu32ai3GctQy/5GoVWbaNQyVEX8PtZYWubMw96HR+ONIFab+5IO7z5So10hVzgqff/F+w3HKAXfS1s1IYlW+SFINhEN/5KSkZeLDhe9h4UgrJp+1F9i+hHqNusT4/D9x8Yur8eehEs1rqA2uCA2roNQkI/j8iwGDuNP45FIANJVkClXOMasnHcW4uGghvr7Bgjn3jUTHPuFnPvFvU+X1K7Zwh6QAlPdSzdMtYwxpEu2JqspZpO1AfFrYGgfLBDzz1KOAu5J+jTrCroIK9HnhJ9z03m8x78GkSHtTnM+AWpJFjlI3TyxCZyhle6Jpt4RKpXPM6sk/3wOO/YE2uel4euEKcLrwcyrpWY9EWkO+b9EkRGMNPBPvB1VeP/1ngOOAEa/hhMeGYS//hmfvvJLu9XWM6V/vQO8XfsKSTcfO9KXUKqo9SPbZZ5/hwQcfxGOPPYbNmzejb9++GDJkCI4cOaL4ut27d6OgoED6atu2bXVfao0moHsU33mWbwAkG72acLkcjuNUK9W0OPZWlSBUpcuHdtxR/PHZK6hwA1+dagH0fkBxTTWB2LBrJdRQos7WO6N1X9I1VpJJdBqBD093x8CPHBh/x93wuuqnZsW+U3YcL6tCmdOL+xdv1uzYO73KTn0oSKb+/4tGaBwkTr2G7CJUgs6Vke1hvB8P3n0bfjrowxN/ZgGdRkavR5hdrCS83lQN9iSfHsZxodYjccIbbfsyEByKMXI+YLLhxI5fsOKNyfRr1BGWbSsAACz96zi++vuE5nXUsvU2ivsfzeRlEEyLDSWE6BM4iBt0jtDLPPI7prbchicuMeGdOc8hJT07+joJPv/ySZxKrdYWgtbNWMTO1idgSwDOu+JGjPu/xwP2+f1/AKf2AFFtxunxYcOB0/D4eNz03u/E7ZDR6yi3M9JUKnl8vFTNQXI2U7MlScvWqCxVEYlSlbPLG6pOk+xp+SOA8zSG9z0X987+LMZ6ob9NlcLwFpLKF2isJHN6fNKwkFiOvaaEKICXF63AI5fl4MtROmD185rWqAv8vOcUeAH481Ap5q3aq3mdUNA5cXuiHVqRphLQtqvIfsRDaVpsKJAVCNYe2/E79ix+IvDDAdOBjGZRryFJYAqCICWclIJkBr0OZmmSObkNRE4xj3wfLdVkSMvF2szR+H6fD7M/WYXSPb/Tr1FHWPT7EQgCMPl/WxIqMKhvVHuQbM6cObj99tsxYcIEdOzYEXPnzkXz5s3x5ptvKr6uUaNGyM3Nlb70erqqirqGfOJdrMCWQa+TbpxUjj1hUEvSwYg7ylhLJZnylBa9sxgLjLPx8UgjXrmhI9755k9JaDIeqQSjwUnEJ8PW0qihlGGJriTTdKMPMnTKO2ho1aFvEy886+pnKf724xXSv7ccLcP+Uw5N6zgJD040JfikuhJq7ZaS7gXlwUmppSWqneWPd7FgsBfXdbFg7gdfxLSrZOpUQMVRikeZM3Avy0wNb5cRK2c1B50zW2Bby9vR8Q07Rk99FQV7/ta2Ti3nYHHIfv636ajmdZwqzoPkiJC0L1M6ImqVNVr2JrWWljDdF58H+Pp+mA3AjIdux8CxD8dcU9xPFKucSW1JrHTz81TtSKUx7EmucaW5mvDiSUDDjvBWnsKymbdqW6OWs6sgVPXj8fH4dV+xpnXUJiXT7E1VKkMAIrGqJIdIE4zx1o2toRR4Lx0XCL7t/mEhqv76b2AoxFXzAIMp6jVyvTal/YQ04SSJjVMkcERbMuq5sL0/kSpnAEjLaYKZb3+KNDMH/P4WcGKzpnVqOztPhM56nydQ/aI2VEmcfEq0N9EmcERbjdduKQWd6PxbpbOefOCZwPO486aR6DbvFD4taAWcf3vM9UikMAIaY+G/VzxIJznLEc96DWR7k0Gvk/Y6rfZ0/ZSX8dhVHfH7BCsarH+qXnYOlEYMPvh+e8EZu5baRrUGyTweDzZt2oRBgwaFPT5o0CD8+uuviq/t3r078vLycPnll2P16tVxn+d2u1FRURH2VReR3wzjTf3S0iJGethRc3C1lA0rTWkRvC48Zn8OzXWn4M9ohQcXrIfZmqZ+nUTZejKnSSrpp6wkE//+ougk5NlFWnFkGTkt22HP92/hjWEWWH+fC5Qc1LxWbWX78fKw74+WaMuIOFQOTmkqhxs5tEEtq4qzTJutlNZVqPwKtYcZgcpCYPVzaJmpw38Xvo6mHc6Lej7klV9eP3iilpbkV5KJByO5LSEJ2XoA6DT6cbTLTUOHbB3s39c/oWSPj8fuwpBjf0SjLYGkkoyipUV7JVkckX2N9qRUlSyvUDm49BmgeDeQmgMMejbuelap+ovEqVdpD5P9bWj2p1j2JNqSnxeoq6YlDCZUDXwBF7zrwLBnv8Paz+rfRLEdJ8L3Jq32pOrUm5UTlnLEoJZRz0lBXyWkdss4otuhc55GKYAYCUd5e5jbXo5hN9+FzvPt2NZoFNA09t7EcZxMbD/+30H8mZq0hpXANqOuW2ZL8irnRDT+JM4eAHS5FhB4rJ8zFj53/dNT2i6zp4IKF5GMTCzUkph0exNdx4yVeG/SFnSOVfkob112/LUE7opT4AF0H/tCmK5f2HoElWSiLYnBbCVIbDOS+Gc9bUPPRDidDs/mL0enJmnAkQ3A5vonV7PjRHhcJJGzXn2jWoNkxcXF8Pv9aNy4cdjjjRs3RmFhYczX5OXl4Z133sGSJUuwdOlStG/fHpdffjnWrl0b8/kzZ85ERkaG9NW8efNq+V3ONOLBKcUYe+IRCNq4Yq1npXREYmVb/LwglbwnY0qL4Pdj3IAuWLZ2C8p5Cwqv/DBKLyn+miTZ+ohWmXhrEYrDRiIGwuTrJyJAKSfz4glA60sAXxXw3aR6J5Qc6YgcLdXoiKhk69WqveSEsuukJfgqVZmas/XxDyai3lCa2YCizx8G3BUBB6THuLjryQd2JKOlhXQQgJwKKSsa++CUiD3pjSZ8+83X+OX2NLQtXQ3sXq55rdrI3qLKMGHdE2Uu+DRqvzhVHRFye3JS2hNptl6rPSlVkvmP70DXW57DlZ84Ud5rmuI+FQoUKNiSPJitgMmgg1EfOAc4vTT2JDpQofUtRj0MwTOFJh0lcZ12/dHz3E7ISeVQtmpuvZvEnLwEjnKVM41wv1Nlrai1zaGAqdhKKEfLpFiETTKPn8BJSzFi/5IZcHu8cPN6tLpuhuKaVoKkC2kQIlWlqyEWotMeuTdJk5cTSIgCAK6YiQdW8Oj78jbMe/jGxNaqZdjdvrAqZ0EAjpdqEx1Xm0iZLvlNBB04FPp+IKpyppcCgErwTbSnTIMXtnVPY+Utqdj89r3o0HuI6nqKHTgyW+JUOnqsGhKiIXsK/1toHXoWRmYL4NLHAABH//coTh3cqX2tWsj2JCVw6iP/inB/pEEJghDXyNq3b4+JEyeiR48e6NWrF+bPn49hw4Zh9uzZMZ8/bdo0lJeXS19Hj2pvGanJOAjEjGkcR7WS/khsCu2W8mxGMlpalj9/Iz5cux9PrHZjTMEYWPI6EK+ZSqAtQV75QiYOK8ft88MdbH9Jl2VERA0lTQKUcjgOuHIuStxG3D7nO3w660Hta9UyeF6QMiL92jUEAM299Wpj7GmywbROuOjkqFVlxru2uOsqtVsGf4/0f5ai5R0f4+k1bghDXoqbWUQwIC/eppUCW7QtYjQ6SuLBKT3i4CRpkiVycALQuGt/6PvcF/hm2RTAbU9ovdrEjmDr8kVnZcFk0MHPCygop69YCFQCByfexfnM0mgyOih1WtQcEbvG9mWrScGego+VfjsDHp+AMsGGtF7xA84gbDe2E1a+IGywDH0lmdyeOI5LTvULgFn532LX1NYY0eQUsP4VglfUHUQpgP7tg3uTRkdEdQhG8P+Vx68+pEmqmidMXqaa9NI9P9YgB9HppRUatxLYUhvjaXQ+tgi77rXh23efR1pOE+VrTWr7cvB8pqEqM3JvSpYtwdYI3S6/DhyAoi0rgDJlHee6xK6CCggCkJuegvaNAx0kWu2JtJKMyG+irCRTa42WzqHUwv1KCdHAYz2P5wPlR8FltkDnW15UXM9KoZdJYvti+zJVkEy0p4hKstAgjATtqedd+Ox4E3R6pQAP3jo8sbVqGWICR9ybtCZw6iPVGiTLycmBXq+PqhorKiqKqi5T4qKLLsLevbGFG81mM9LT08O+6iJSCb5CUEtNJFIkMASAtpIsfhWIeBAz6DhJsJGUqCktv76OIf7lePUKM/oPHYad2QNUK1TkWBUyliJ2wnZLUnFYOfKNVr6ZyP9NUtatSHYbvFtyId7/24tJz70BV4l2we3axMlKF5wePww6Dpcm7IioHJw0OfWkJfjBw73HF7ONkfTzGUmqOf6BrNLtgwE+VP2yAC4fUGBpC65Z7FYWEY7jZG0osT//giAQH54k3QsNjkh1VJJJ9H8EfHpzvPnjfjw9If7k3LrG/uJAQLBDbjqaN7AAGu1J7lhaVOyJbrolnSZZsieIqeko9dFtw8Tc7dh2Txree/8D6Axk7caKlWQUraFS0JmmMrNKzZ4SCzpn5LZEzqiXAt+sexk4tSeh9WoLgiDgQNCeBnQMnG01O/Uq1SpWE/lZgmZAE8QhTQrBV62ty8pDZQKfufs8CwCfC7Z2l6D7ddHTYSMJtUMnLyGajCpnqWtAw7TYSMY/9Q62PN0HMy/VA99NqTedAwdOBWypXW4ammelAgk49lUqgSgblV4mXSWZVWGqKzQUK0SvG9ueGpdtwbcfvQmPXwCumAmYrIrrkegvk9oS5Hq2VPYUuzIzJK2RoD3pDWhzzeNweoHDhw+jatt3ia1XizgQ1G4W96ZjpVXEhR/1nWoNkplMJpx33nlYuXJl2OMrV65E7969idfZvHkz8vLyquEKaw8kukekvfUePw9f0ECIK8kUsi2hEny9ahluJGFTWrZ9DqwIlMTe9vDz2NflbqL+9/D1CA5OhO2WZoMOYmcrqVaF5ISYDWFtsfLBCgnf7AE89Mp/MercBlhynRkpvyhnieoKxZXBqaE2E1rlBDZ97dlF5YNTmuxQryZm7SSo8gxfO3AIEITQlM2Y61FrKCm3tNyqX4n3B3nw+U0N8dw7XxCtqeY8uH2he4n6BDHtByexckwkKSX4IiYrfsm9Hfcsc2HGonXY9tOSxNesBYj21CjdjBZBR0SLPYmfDZOsMjgStenIYevRtrQoVG6ESQFoduyj7cntcmGGIR8A0H7o3ejQd4T6elIlJUnli3K7JWR/H9JKMp4XpL9/pD2FKjOTEHTufDXQdhB+P+zEPdcPhFAPhJIdHr/Unnh+qwZA0BFR0nKMh1qQWK/jpJ+ptS87KSvJoBLQDskUJDPg7EOHo0tRsWsdoDMAQ19SHdCEMN2jJEy3JBAuj0Sqco5jS8lI4OgMBnS9ewGgMwJ7fwB2fZ3wmrWBYntwb0oL7U1HNbZbivuTmpZzdWiShWwp9jlFc2Wmkj1VecD9OBvTVjrxwC/ZQIcr1a+TYC+pJLQlJLHKGUlOiJ4/5Casm30L1t6WCsuqaYBX22eqtlFsD0gfdG2aAZNeBx8voKC8fvzuiVLt7ZaTJk3Ce++9h/fffx+7du3CQw89hCNHjuCuu+4Cgu2St94amoY0d+5cfPnll9i7dy927NiBadOmYcmSJbjvvvuq+1JrNCQT9EgniMkPAqmEASglTZnQhBa6G738Ndu/fQcTxt0cyHz0vBsnO0+Ufk4TeCO52ZO2IMgraUi1KqSpZzE2kqSV4QMwpdrw+ZffoXdzA7DpA+BE3Z/OJ97oc2yyg1OJU9NENlUNpeD/K15FjwthTj2ZLcl1BZXaT6g1lBRaWmAvxIOGz8FxHEY99BKym59NtKaaPck/y2r3EpJKmkikEvyobH3QqU9U9yVI3xsfwh0D2mHu4BR03P92vcjYS/ZkTSxIJtmSwudfi44SvThyrPaw2JW9JMRrafHzArrteh1m+3HwqTlA/2lU16n0+acRRqcNOjs8PuljHWlPYuA+KfbEcSjr8wQu/6gKb64+gs9fmZr4mjWc00Fbshj1aNPQBr2Og9vH45SdXpdNTZMMFI6jFn3LUEA7+rMgfnZt1BpKIc2vyMBheWkJ/vn+Iwz8yImP7BcDjTqSrUmUECXUJNNQSSZVOZvjCY0nZ29Cw/bAxQ/hlIPHf+67HVXlp5Ozbg1G3JuybSa0yApWOWuQ1pBr68VNiFJU0dJOt5QnW2MhfT612lOMdc91/IK7u1SheYYOk194jzLgHP/zT1ORra3KWbmSLCkJUQC9750PXUYzoOww8Ou8pKxZk+F5ASWOUEK0WQJdA/WRag+SXX/99Zg7dy5mzJiBc889F2vXrsWyZcvQsmVLAEBBQQGOHAn12ns8HkyZMgXdunVD3759sX79enz33Xe45pprqvtSazQkAqykjoh4EDAbdDDoyT4CSj3wWp168TVne/fiP488igV/ufHC7rOAwc/DHtyMIm+YapAcdkIZEZJsPd2Ulnh99ZAfnpJ0s0fLXkDX6wAIqPxicp3P2IcOTmY0bWABxwUO3SUR441JUNM9shj1UiBLzZ5oK8kCwVdxrHWs9mWNQTKFCWL6ZY8ihXeiKL0L0P0W4jXVyvDlByddnIEioetTr6SJJP7BKYntlkHe/nwV7u+TAcPx34Htdb+a7LQjGCRLMyXU0uIgqHJOU9C0jFrPQ1dJlqYQyBUf03GglgKwmmLb054tG7D0qx/Q/nU7tra+A7Bkkq1HsJeIn2eqbD1h0FmsEjPpdUiJCGgnM4EDAJmtumHqjZfjtnON6Fv5DeCp2wdyKeCcZoJRr0OTzBRAa9CZoH2f9KxH69QjrEolfrslbVWm3LGOTDqdtS8fI9pyaJZhwMipbxKvmapQ6YkIKQDV6ZYapADUq5zVq9BJEfo8iAGLvJi1+jReevCGpKxZkxEryRrazGiRnXgCBySTzImqnOmq/K0qVWqaJ5nH++x7nLjPswBjzzXh9wVT0fbCy8nWC94f3D4+7vAeUn0/aKhyRpjvFFGZmeB0yyjMNmDgDPh5AW+9/CyO7vgjOevWUMqrvFK3R7bVLJ31jpWwSjIS/hXh/nvuuQeHDh2C2+3Gpk2bcMkll0g/y8/Px5o1a6Tvp06din379qGqqgolJSVYt24dhg6tPzox8SDRPUojLBt2ahCLVC7Bp3Nq5JylO4lPbK8g/6oUDOiUjSnv/gTodDItIm2BAqWyebpsPd3hSamSLFT9kjzHHgOexic7ObT9z2p8Ouuh5K1bAxEPTjk2E8wGPRqlmYHgVD5a1KpVOI4jFnR1aHBEpKBBzMpM+hYZyA97Edf78+LXMWXhBpz7lgO/tX1YUaw/klQVTTIajRotlWSVKgenZAbJkNEM6DsZACD88Di8jrLkrV0DEdstc2yh7OKJMvqDk9TOQrI3qTgiXj8PT3DwCa0mWawKanklDa0UQLw9z/vTCzg3V4+2uTacM+ph4vVIpABoAuS0Qed4tgRZUieZ9vTE21/h/VvbIxeFwC9zk7ZuTeSUzJYAoGmmdntyEgSJbYT2pMUJDwUNYlRmatT3sxj1knRF2DWXHkLfokV4bUgKXpqtLtYvx6by+a/y+iEWrRFXklEkcOLpZYp7ky/OhFAtcGYrHpt0L7rn6nC5YWOdF/Evrgx1DTTNDDj1JzS0h4m2pFfQS6Zpt6QNOtsUAnA8L2jyxaCgPy2snY08FOOYkAP/xZOJ15MHvWNJgICyGIK2kszl9Uv7fnVXkgEAuozC3T9n4O5vKjH1jroddBYTOBkWI0wGHZoGz3rHNexN9ZF/JUjGSBySCXpKN2Q5klgkjU6FWRQjje+IkASdwig/jkdO/QeNuDJccG4nrPhzD1IzsgBKkUg5StU0IqG11SvJLJRl+GKJfWQ7C5IojhxGRlMczOiFkw4B7733Xp2ezife7BsGHZEsa+C/pc4EKsmS4Ig4NTgiSgczrZWZ4mfO4ZFNUPX7UPnzG2hs5ZDXoiW4FhdSrak0MROU2cXqEHNNqi0BQO/7sMXREJfM24cZd45M7to1CEEQpEqybJtZsqUyJ/3fk0T3KBRwVl5fnoygdkRirK1VtB8yeyqXt00d+BndKn/G6nE2tLpxBjiKgDOJFADNdEsLbSVZnKpMVJM9caZUYPCzgW9+eRVCyaGkrV3TkKqcg3Yk/rdUS5UzQbsx6f8vLZVkynuTNqee4zgpEBtmTz88BqPgxq/+TihqdRXVmmpJF/H6OU79rGslqKSJJN7k5VSTvAo9efZ03aSX8Oezg9GnKQ+seCJp69ZE5NIaWVYTEPzc0IqNhz7/8fWSSWVqoEFaRknbVh6Mot2fpImPsoT7/k2r0eu2Z/DrUR+e8d6CtLQM4vXMBj2M+vgSIKD0yVLjVGHHo1Jmq5F7X3qSq5zFN7rn8ZeRk8rh4owCCAfXJ2/tGoZYXJBtC9hRdtCetPhN9REWJKslyG/28SBtQaKdbAmVVpGQcD/5emXHD+C2wedCqCjAAf7/2bvu8CiqL3pmtmWz6QmEjoBUAUFABUUEBbH3LhYUBQQLoj8UCyp2xQaKBey9YAdUFBBpSrMC0ntNzyZb5/fH7puZnZ3y3puNQtjzfX6SZPNmsjv3vVvOPbcRPurwLITMAvnnLG0nCfdJURGkFXOFmklGSRv+tzTJ1Lht0nuYfH4TzLrUASyYlNK1DyTsVzlOAFDgiz3vPJs9aflIRSDCwySTJ1zqJZ05dSrULb6yHsqKN3FG8Q78OroYe/qOZ7Ynq/Zl2XGiaF32utgp+MZirkqARBvUUMHlxfrmF2LBlghe+HQ+qrf+mbq1DyBU1IQRihAKvlu2pRIOWyLOPpUUgFXCOf6cuRyC4RCApLUp2i1ZCkIEuXF7KiO2FI0As+8CALwTHYjSwm5M65F7qAlFDIM9rmo9K5NM92xKsRQAQcezUNrgWNz0ZRkuO/PE1K59AGE/aQ/LjgUg+bI9cSSdKc4T2hYxVqFxqJ49PVtl1QtUI0+TJPvx3Wdw7WMfYXsVcF/4aqozJOE+LXw9dQHHikWqZsEaMWm0MJpuqWahp9KeBFGE4/THAUEE/voM2PhTytY+0LA/nlwuynYjL1MZdFTOqPNGQwhQkwusBm1UMRIMiC3paduSfZtHCiDpbAJw381DsWRbGLfMdWN2tCdzC6eV2D6TJpnM8qSNm2J/R5Y7Wbajrs6mbgMvwpY3b8SNR7shzBoXO9/rIfZp4qb8zNgZxSNTcyginSQ7SEBDy6Wt1vOMHTZzyshGSF0Nqa3A1acfjdeX7MN5n0QwJHgndkZyEl5CDsM8HW0vM9C0dCnOE0WLGCP75V/VJIsjIzsPNz74EtwOAVg4GSjbmtL1DxRoKyJksycBCguIDZi2iJm0GKvBM40yy6TdUtZ4YnRyHKIg33NZTQioLQd+eAgA8FHWZajMaMRsTz6LdmMWFikXk6xGPxBRf02jJcKCc0c9hIfO74BVw33wLX4ipWsfKCCC4tkZTmS4HLItlflDzElHGiYlrS1ZaQXqwYzxaYdJRoIz8gy+/dAITP5yOfyOHDwTPp/dllT3YGQDTLovzJpk+raEuqrWI1ax33bECEz5JYj3F27G77PfSu36Bwi0gUhB3J64mGQU9kQrBcAjhWHGHrajPysH9v4QpEgYY/53N6avDGH0kib4R2om2xstrLoGWGzJ41SG6dAG9oommY49pXJarBqNOiPS/Wq8tiKIs84+B9Fwitc/ABCOROXCZ6HPA5dDlPcn1sCehhBgNW2cgGYIgBYxBlvs39rzSW1LrFIAud7Eswkb52NS7324vocbjv43IdvjotabJrBqkWSZbullZJLR2FLKzyYA3sETgIw8YPfvwMp3U77+gYDkDpw0k4wF6STZQQLWiogZeJhk8nRL0/YwiqA+VAO8dwkePb4WXRq5ceZtz2I7GiRURACgrCZmwHlxZ5MWVjotkiSpnCdrp8yXSk2yOtzs0eF04LC+kMK1WDV9TOrXPwCQFIhwbvbhSBQBWfeIIuls2b7MoUkmt7ToTRDjD+xzVdX6F26/BAtW7wKK2uHN4ACAw56sBldUclDwa0LJE870EI0qtqrVUXI7RWS4xIR7SBUEUcRdkz9EsxwH8OcMYNuvKV3/QIDWccr1umRnXrsXW4GGSZltMh1ZDR6mihkTgGe6H4Halsp3b8GYx6Zh9MxaPL7jaJQhG7mMtuRxirIuk9F5UsXAoCZnXQ1jS4uuJlldaPzF0eXEc/DoVcfj+yGZ6LLl9Xo5OVZptyRMsni1noeZSWFPZtPG1eBhkpkltHmHykAVAJfXhCCsfAdTBkkY1DYDwqmx1kHWJBlJ/BnqZTKcTYIgyL41bRHHTDeX7Hd1YU+lRw7HLbMD+PL3Enz8NL0m4sGCkuogJCnGsCI+Hq+vJ0+KNYlN1NPGzYo4NEMAtFCzCrVrV7OSC1RQn02E4dzQJ2Li2GHYWXQ0chltCRYDO8BoT0rCjY1Jpt+BUwcyNQS+QuCE27FsRwSXXnsj/GX7Un+N/xjqSbFQn03VdfB+1kOkk2QHCWjaLXMYKfgsLShm7WHU1cVwEPjwSmDzz+jQNB8rf12Mlr0GA1qdCpU2Ti5ntV5v1DjimhOk1YVObDx1mmQ5dbnZCwICJ4zHyW/50f22j7Fqzsepv8Z/DEW43x5tWF0tNHOesign8vEE9nL7ssaJkCRJvp6dwH79sh9xy4uz0Pc1P5Y2vgqlsXOSmf1ipUnGIzQuSUBt2Np5qg6GZeFlM42/lLeIAUCjLsCRlwIAtn1we72bHLtfw8p0OkT52WFlv/gZCjh+i/ZYGq3ApLVVr9Xu05UpsKXymhB8K17G/f3cOK61D00ufADgsCVBEFSBiLk91QmTjLAydYpDdabxF8ftz32Mk9rnAtt/Bf76vE6u8V+C2FNRtqaAw8Eko5PWoNQk47Ans3ZLFnaWFsSe/JWlwA8Pok9zJ2a/8ST2OhvHf85YELWSAmBM6PkYC6KKJtm/a09FLdtj4vCz8eRAD86SvgVC7IOLDmQQP6/A55aTV0pgz3o2WSecBUEwHVYhr0UxBEAPRkNrKuPXsnM2VQXCqPh5GrDrd8CTizUdRwEcCWckTKQ0OJsYireZdWJLdcOajPQYigs/CeL9lZV45nb6ye8HC/Zr4iY7LOdDEekk2UEChUlmXV2kpeCzbM5mTADifJsltKLhEP53QQ/8+fNMwOkFLvsAYtPucsUjKUlG2i1ZKfiq90erAQDNe+OjYP7QTMtUw0hoHCqnl2XMOAs8rXujQeMWcDuA5e8/UifX+K8QiUooiQuNF2Xbqy6Sz9IpCnCbUNJpD2e+wF7fVmtCEXlcM2uCWP077ddNw9VHunDakcVoNfBa+ed6dHYzWIojMwiNZziV1gMaXTLy3rgdIjJcyQEjCZJq6sieMGA8xv8YRus75uKrlx6om2v8R9CyMqFynlgDERomWUIiy+Sz50k4e5winCIRHU5cmyRQ7dhSln8bnL+8hBG93Pjpm49RFY79LTyBiM9C96WSIQnB2r5sxiSTWTl1ZUvZxUCf0QCAmm/uRaimum6u8x8hlbovig1QaJJZTl7mYGaaBMskmLVjT4evfgmo3gsUtAF6DUOZn3QNcJ5NFppktBPSrVjTWpixX3x1bE+jn3gXtw1ujQz/NuCXV+rkGv8VzM4m1sCe9vlXNOSMP3t1Nw9Le6TPIEmWClvyBvaj0xkjMeKrGlT0HI290SwAQB5jwhk0SWcWJlkqbYmxdZMVDk8mJt4+Ald0deHyvBVA1d46uc5/haSzSaU/qx0mkUYy0kmygwSy0Lgp84XNcWKabqliAmhFh8tN2FNATPD4iav74PHP/0D/N/2oOP0loGUfQEsbVq/p50uSZbiUlha9TVURRXckCUTqgbxHtLpHiiaZ8WZv13EKR6L4YfVu3QPoyalvY81Nebim6Tpg/Q+2rnMgodQfRFSKTb8hDhNvdVH9/Js5O0ZjtrWw1yKmee7jduAQBW6x8WPFv9C1egFePisLn3/zHcprY89bToZTrszSwioQZ6nWi6KATBe982RmS+Bg0hhh8/5qLN9SmvyD3GaINO6OUBSY9d6LQKT+6L/oBSL5vElnCk0+t1OUq++VJvbEMwRDEARLezI8m0xAzqYbQ28AkSDQZgCEdqcoBRyO4EYOxHXsSZIkLiZZFXUBx/i9YG2PMYIkSVjwzz75+UpAn1H4eH0m2k38Ay/dc63erx+02JsiKYBoVFKYZBSaZLTSGkxSACYdCXbtqaj8T1zyvxfx0q9BRAc+iIjokhMTvCxnQ71MxgE4PoZgPBCOyJINeoUnuSBqUy9zf1UAP/2jE7S7vED/8bF/z38C4Yo9tq5zIEHbHgYb7cs1lM+/2URXAh6ZGpjEZUrXCTuTzOkQkeVx4pgNL2F7RQTfbxaQcdwIpQOHh0lmEZ+w+Hqs0y3NtJyJLdWGoszTTbVYtrkEW0v8Sd+/7I6n8dbI3mjpqwHmP27rGgca9mq6BsjZFAxH664oVo+QTpIdJKBjksV+FoxEETBpZ6IZAqCFOgBKqoiYVeujEWDGDbi+6Roc08yBSffcgpzuyqjvJAHKOGRNMsaKiCAIphMpK02YXnog7xEtW8VIaBwclUojjJ/xB4a+/iue++GfpJ8169IHLQcNj33x7b1APWkTI9XmXK8iSKpUF9laGpgdJ8v2ZR4mGXkWNMwXVXWRVcwVAPIyHLjHGRfH7nkNnE26oJxT3w80zBdGe2JhrJD3wmhtK/1BGpT5gzh50jxcOHWRrvM07pl3MHtoMaYMqAVWvs19nQMNJHgnwQcS2C9s9kQbiNMwM2mGAOjB59Zf2061PsfrQqutX2PiG3OxeHsUGPQQIAiqQITdnpTAPvk98AcjcnsxjT0pTEpaKQBjZo0VK4cW0xZsxBXTluDOT39P/qEnG3ubnIRtFRJef38GpJoyW9c6UBCOROXnrkCjSVZaHWKq1qvZ7z5TJhlpNbdiObPbE7muNqgPhqPy/fHYU16mC02WTcbWiig+3pQFof2pCX4f65pmCWcksPopmWQMiWL1PqOX0PaloIATjkRx5vMLMGTaUiz4R0cr6chL8Ee4FQa9sgN3Dj2L+zoHGkrj+2u+an/lbV+mJQTkmAxSktfiGHgGEz/SDssZANp7SvFStzWYe1UmXn5yAtyZWfLZxFPAyaLUn6WxJ0Uv076WszpO1esOosWPq/fg/BcX4erXlib/UBSBQQ/G/v3rdEj71nFf50ADiZ2IDXldDrlgmZ5waY10kuwgAU0VQ31Ym1VEaIYAaOFxOuTWNO0mWk76ybUbczxBht8/Qr7PhZ9nfowr/jcp4SVqJpnambRVETHRTzOj9erB6zJ3xJLXN9nsU8AkW7enCh/8Gpte+cr8DfovOuF2wJOLzWtWYcGb9aNNrFxHs0BNG2YBrbOTRRHUhyJRBOUhACwtLfrtluU2qosAEP7xaUydtRqb/F7gxLsAlS1xtYdZOk5s9mQ1QYll7VQwyZ6d8w9CEQmRqISlG0uSfp7XqCUGDbsv9sWPDwOBKu5rHUhQNECU97Ygbk91wSQDZdKZh0kG1TOSnHQ2ZyOaIcMpournt7BoWwSvbjkMKO4EqKUAeJhkMjPZuIDjFAV5KIXpWhZCy1qYTbdUGKP8tlTuD2Hi138DAL77a7euJuh197+MFy5sgQVXeyAsfI77WgcS1Hs4eQ5JAScYiTLtT8TPEASYPgO0XQM8TDKjAVBq7UeawRJatAqswSenlOHpUzIwafLLEERRtqVsj5NjGl9qCzgs0hpkX8ny6LOzWaei6+G9pVuwozymNzZ3jQ5TTHRg62EX4bsNEbz01VJUbP6D+1oHEvTkW7gLOJTSMlkUGnLcTDKD9mXlbOJLko3AB/AIIXQ9pi/6XzkOUPmP9jTJzO2JhkXqs7BNLRRyQfJ7mzDwhrOIE45EcfdnMftYv7caeyp0dPxanYDSJv1x+6wqDDl3ENd1DkRo7UkQhPSESwakk2QHCWimtDhEQQ5CTav1dmnDBpu9+lCLhoK46Yyu+PyjdwHRCVz4Ohydz0lak/xOKCIlOOjlNioiPpNkFGt1kTV4kKfx6azvZRwCoIcPftki/9shCqjVq6xkFuCHzDPQbnIVLh/zMGorD/6KvV7CRF1dZKnW0z7/2RQT39TPBV8gkuiU0ej7GSEcqMHH77+Hyb+EMGFN29jkHhtDMECRiDJjp+jBy5DYstKUYZ1GpkUkKuG9pYo9rdpmYCc9rwXyD0Nt2S4snvY/rmsdaKjUaW/gbl+mnO6aTTEIg5dJlmXQGm2rWr92FmacBwzrmYEr750qf7ucU0MJ6rPJooBDwyJlff7N7El9NvHqlHz9+86ErzfsS9Ydc2VkYsQDLyDDKQCLpgDl27mudSCBnA9elwOueKLH63bISS4W9kuN6mwyewbo2y3Z7cmQ+aIKZFnb9gGg+7rJcDkEHHniqehy4rmAmiHO1R6W2gIOi39GezbRJgn08M4S5WxavatS9zWDh47DxPPaY9UNPuT8+gz3tQ4k6CU3eQs4tEwyeZK5GbmAQ6YmYe0kcgH/2bTrj/k4tjomp/Jbh1tAxF5lfT8bmmR650koorBIaeyJvEc1oWR5Hj1UBpI/cwJ1dxBvQfTXzaXYXlYjf71qW7nu67a3uwaTFgfxzoKN+O3bd7iudSBBkiRd4oYdzcxDDekk2UECZUoLHfulLmjDxMi0rZFJvfWhGrwxqi+en/kXLv6kBjv6PQV0PFN3zUy3Ay5HbIMnh0YoEpU3TZ4WMTMavlk1Xf/+6NtQJElSTX/S032hr1QaYdN+pSUsFJHw984K3df1vmYiGmY50SY3in1znue+3oGCCp0qFtnow1FJdxKXEVgdJzNbIg6FyyHAzTLxSLYlAyYZh+Pk/P19TDvDhUFtM+A+9W75+8oQDA7HyaIiTvSlaDVqfAxaLeRwN9JnymSsVmqxu6IWtSGlHXnVVoMkmdONLZ1GoMPkKgwa8yL2blrNdb0DCYo9qZLOnOLIftZApA6ZZFp7Mps2bIpoFJjzIJrliOh2ygUQG7aXf8Q7VAbqar1uAYf1bNKfkGsEWXjZhOUsSUiwCRZs3p+YFDO0p/anAS16A+FarH13HNe1DiQYaSfyDMIge5nXwpZopyeS9XwM9kRsxfBs4tAjK1v1DQp3LUBQcuBVx8XK923YEtlPAuGo7sRclvYwMOryWYmYK/pOfAUcSZKwSWVPq7aW6TIzBVHE+MkfoFW+CPz+EbDzN67rHUjQsyfuSeaMTDJTX49j4BnUrdHas4mBmaXFqGuvQNvnKjFxbWtsyeggf5/YE0/SWZ68rPPMqgtbNCxS9flN0yJpZU9ei4S4FbRn08qtOhq0ADqfeDYeuOwYfH2ZF122vR07EA9iqAeB5SQkndNMMlqkk2QHCZQpLaljv1itpQVhdRHNAMTZGCToyfW6gJoy4K3zcGXx37i4swfTH7kdTfpdbbimIAhJ4v3qJBxP25mPSpOMjUlGs9GrhSX1DpJUUPCJbhIp5K40CES8OQX45cNJmHNlJpqtmQ7U6ldODhbo0bEzXA45UGQJ7GmdHZoJYrQsGi3yDAZWmAmYmiJUA8x7HANaOdH7wutQJuTIP5KZLzysTEoKPv0EMfqWY7OEMzim+2mxrTRWWSS29NfOCn1mJoBm/a9DQU4mctzAuhkPc13vQEKljog7rzhyNWMBx7ylhZxzbAUckgAmWpYE5ZxBQ2jlh8CeP1Et+PBS+IwEO1WYmTyaZMZJYmaWs5tNL1OZRJv8XnhV02N5mc5aezJkZgoCao8bh1PerkanG9/G2iXfcl3vQIFRcpPHnmiff7W4vhHzLxKVZL+Fhf1CbKUmFEnYD8nzycp8kaJRnHb+ZTjxDT+e3tMLawKF8s/K7bCcVUVev+4kc7akHktiS55Ca2CrPsYEthb7q4NystohCqgMhHWZmQCAxkcCnc+P/d7nd+u/5iBCpY498Qb1tAVRKl+Pk0lGEsBlfoOzifHZr1g9D8vXbsPuKglfZ56lezbZ6cDR8/X02LJmyHCJ8iRzmoKoFTPT7rTYpLNpq3E8NH7KJzitQxaELQuBdXO4rneggHxu2kFgStcAW/vyoYh0kuwgQCQqyQcmPW3YbIIY72YfD0RUm736UInsXQtp+qnAloVwePPw3hff47Kx1pNCcjQJgzJVQoRVpwIJgb1ZS0vqmWSEVSMIkKf4JdyXqg2Up6VFkiRsj2/2p3dtAgD4fbvxZt/opBEQGrQHakqAhZOZr3cgQdZD0Bz+pMK4n6VaH3/+rar1NLbEG9ST+9Y6fbxC49LSV4HKHajNbIx3IyclJJrtVOt9Fs8/s+4LQ4tYlUXSwC6TjCScj21diAKfG6GIhLW79dtaRKcTH7/+Iv4ZnYXeVTOBsi26rztYoDcUgYf5goTJyxZJZ4oJYnLCjbFaT55tdQEHnNX6UK0f3U+/BjfNrMWn7rNQjiz5bIpEJVstnPJESp3nnz3hzNYiacYkE1VONC/TeVtpzJ5O69IYsDibMtqfCHdOQwgC8PPr93Nd70CBnr4fVIF9SRXL2cQ2VCYUkeQpi1okDAFgsCf1FGR1AK6wnNlsc/XsaVi+qRy/7IjgXceZqFDpz9ppD3M7RDjj96l3PvFKa9CcJ1ZTaOViECfzhZxNjXMz0L15HgDgzx0mhc7+4zH+hyCajf4SP334Atc1DxTo2VM+hy0hYUiTRZKMot2Sl1yQL59NWl+Pz55yfnkGq0dlYerIfthZdLSujdrqwNG1JbbW5YQBahSJLUt7simtQeyJJm5CblPgmOsBAMHZ9yIa5ic1/NdQkwvU7fsF8WeypFpnCnUaCUgnyQ4CsDg7ZuO7CXhpw/lyRSR5U+5QMg+9jjoKEz9eAWQVA9d8A6HV8VTraplkdoTGkdCGYhyI0DLUfEwbfew1WW4nRBMx13BUQlCnPcAKFTVhuYLZu3WsGrunwmSTcziBAfcgEJbw7FOPY/eGg1fY1eiQNpqOagbF2aFsaTFtXeYL6kmSzB+MJEyi5Wlpqdi7HT0vHotpy4PY1e0mBOEyYL7w677oaUvE9A7YnCcWsf0qC8dJnu4Xssd8aZ6fieb5XgDAbhN7at3/CnjbngBEgsDcR7mueaCgUqelhTBIWGwJDINgqM4mm0lndQFHkiSuav3MF+7Cn7tq8f6fYaxodAGgssvK2pDcgcFjTz6TRBRrAcfH0CIpSZKcmLNsEeO0p61xe+rTpgiwOpsAPPPiNKwZlY1riv8Ati/nuuaBAKPPjRR0KixaItWg1eTzuZ0yU8PInshaogB5mhkNBEFQdQ0o9sTVuhyNouOmN7Dupiy8/r/zUZ7VCsFIVH5e7bSHCYJgqv3FWxClKuBYMV9sDmkiZ1OzfC+aF2QCcXkAQxS2wX5fW9SGgY9eevSgbhPTk3Age21lIEylcUWgEALoks51IVOjkAsS9wGu9uVNC4D1P8DtcsF7+oSkdctSoZdpKgVA7+eaxWFaVFr6eqmxpz5tYnFTeU3IsGsAAHD8GHzyjxMd712MDyfdznXNAwFGhQIlbjp4E4D/FtJJsoMALM4O3QQxe0yyBMepNoQLHXNx3u4XsKUsjLf/EuC/9AugUWf6dTVJsvIa/uoiVO+B3oaqJ1htBrPqihZmlXogkV3GU63fGq/UF2V50LwgFtTvrbSoBHQ8E5d9k4FbvqnAxJuvZL7mgQKj1glFm4V+s/fTOk4ULS28QX12hlOmfqudHB6Wykv3Xo/l24N4fImEaJdLktYs46T1w2L8diAcRSgiyX8P3Xr0mmRVFi0trNP9tCD21CzfiwbZHsDKngQBODnGepn72ZtYu2gm13X/a4RVE/fUASSPLYGhwk4zLZZXk0xmkqnaB/xBJbFLXa0P1eIsfIvvh2Riyp3XIK8oVnnWFnB8bgeTBiGBme4LK5OMpUUyxl6O/dswEGFg0mhRHQjLDMTuLWLMl72VAVOGW5tjTkXrfpfGvphz8E5hrjBgOedwnU10z78oCshym69fTTkEQA+5OvbE1R721wxg9+9o1iAPF457SWaokbZoO+1hSPD17NsTS4skWdtn8Dll2pwWS86m5vmZdGcTgHuffRNfXZGHZ48vA9bO4rrugQCZSabas9WfodWwCjXks8kisSXL1JgWcHiZZPpJMlZpDSkaxcKXbovtqUddBaGgFaCyy2hUKQrZktYwtSX6dVlaJEnsZETcYInD9EDsqWPjHPncNrWnzAL8ldETG0olTJ76MhA+OLW7KgzjJiLLlG63tEI6SXYQQB04WDk7NIGOcnDYbGkJ1aBw7jg84XoZ13d34KXrjsbiVWuR2bSD+UIaECr1/iqN48TNJDN+D9gdJ/oWSVIBM3pfnQ5RTnLy6L5sUwX1RVkxx2lflUWSTBBw4213oUm2gKOca4GSjczXPRBgNEWROBgsgYgsZmzlOMW1eyTJ+KDnDepFUdHi02NmUgf1/hKMbrwKkwZ58Pj4m9EgPxuIJ7RI4KBM42NPOnucohzYaNvkyAEsCvSOIxOTzMJxYmnd1AOxp+YFmfT21KwHJv59GPq/UY1xN1/Pdd3/GuogQ21POSo9S9p2cEmSqCYvQ6UtZ3o2cU631NMkI7bkFIWEhJIpfp0OVGzHSd1a4sI7JstT1fbHnws7QzCgSuzqtZyyaiiJqr/LquhCPnOHKMhTF5PuzYbYOJkclut1oVWRDwAQjEStK9X97wREF3asmoM/Zr7GfN0DAUZsWkUAn4XlTP/8y0UcoyQZJ/MFBsxM1qA+HKjFlo/vi33RZzQEX6EijxD39cptSAHA0p70k5dWa6WigONzGyccaKBmkhVlxd4zqyRZk3bdcPpVt8RihDkPAFH+AVH/JfQYgB6nQ/adWexJYTnTFnBMZGq4mWT67ZasSeeZ0x7GcY8uxWnvBSD1Hau0c8eLE5WBMAjJjmfwE/GnzGyJi0mWCk0yG0yyQDgidwg0z/eiQdzX22vh6936+Bt4/LRCzL7EAax4k/m6BwKM2L8kvqhgLIgeikgnyQ4C0LazgDIQYVlPDbXjtPHXObj6hJbI+ys2JvdD3+W4/qVFyG/UnGlNACjOyQBUdHKy6fMwX6DaAPQOPOZqvZu+RdJqQgtsClBuLVEcJ1JdLPEHEbK4rwGX34INz5yBa450AHMfYb7ugQAjBqA81Y6lpYWSSZbhUjRPjOyJN6iHgS5ZBWu1/udnkBGtxK3n9MTZox5Blscp2zVpdyqxQcEXBEHFiNBOtVWed732Yj2waEsoQuN1wyRTByK01XoAOG/0w8hwAk2wG5FNi7mu/V+CfG5aEV5iS8FI1FDnSIvaUFRmKFnZk9JuaaaXyZd01pMCULMyaZg0NWV7EPjxydgX/f4HuDLQkJxN8eei1O7ZZFLEYpUCgJr9ZWFP6kmxRu+FWeuaFYjmS7N8LzJcDvmztgpEkH8YvgifgDbPVWHoyJshRfkma/6XUDSU7LOcyfPvdVk/A8q0WH174mW+QG1PqoQE69n0xkM3ou3EPzHhZxE4dgQAoDgnts/uqUz09Xi7BnIy9IO9SFSyDLy18HEUcAzPJtv6fuRsUphk+2j0uI67GcjIQ2jnn1j75bNc1/4vIUmSoY4kzVAyLWhtgEYvk3vgmepsIsWnQDgitxxTJbSiUaz/fjo8DqBLtx4QcpvItrQ7bkskoe11OZBBWxRSwazgzNqBA4bEViQqya+x0iTjSTrvKIu9P16XAwU+N4qIPVn4elmFjXD7fY/A5xaAeY8DQYPBGQcwjOLdNJOMHukk2UEAWmFkJLSI6T/8YVUA5OPa7CV02z0Dp556Ct5YvBd3zBUwJDgO3za8BhD5Hqfi7ETHiSTLGsUDFFbIFVyTzV5vwpce1IlE2mq9mVNGKv88tGGFSZaJ/Ew3RCHGcqIR2vYMjosj//YhsOvg0yarMAggczg2+2pKTTJBECztiTeoh8HUIxaditD+LcCSl2NfnHQPIIoQBEFOOu+qqIUkSdhdHnMGuO3JQFuHVfMFjIG4lU4FaV/mYb6EI1HsLI/tM83yFSYZTZKs0/GnY9v0oZh8mheOHx886PRfKnT0yKDROaJNOqudViu2Fh3LmS/prJdwJpPzaB37p267Em0f24RPtxYC3S4D1AWc+LOyi5xNuam1JSSI7LLYEx37y0rfDzbFkdUJZwBKtZ7Cno65+gE4RAHuiB8li99hvvZ/DUMmmayjlHpNMlC0L9MyPPWgK61hMKBAF6FazJ/5CYIRILfTAMATYziTM2hX/Ewivl5xiu3JiC1rBp4CjqEUgI2gHgZdAzS2BG8e/mp6KTpOqcIpQ8chUF3Bdf3/Cmrt02R7smZ7aUH8bMshTRR6mbwyNeRsCkaicjKI2JIgGCdaE/DXZxjdcT/W3dYIdz79NpBALoi1tRN/hvtsyjA+m3gKOF5KJpn6PTdkZsosT/aks9qWBEFAA8LMtCrgAMBRVwF5LYGq3dj1jfUQugMNRuzfHI6E86GKdJLsIAAL8yvHgoKvHpXN6jwVYz/ecD2GGyqfx/ODPTiubQFaj3gDP0W7solPakA29V3xTZ5s9o3zvFzryY6TDi2blUnmcohyD7uVw0MTiBDnt4aDSUYqicU5HjhEAYUszlOT7sAR52L+5hDuuuFC5mv/1zBqRZIryQwClDUMiS1lwmVdMsmU55Rch6Zaf/OVZ2HQa/vwGzoBbQfJ35crjBW1KKkOygzIYrtJZ817zEPB95loyGhRFf/MjTXJ6DVktCj1hxCJShAEoEG2R1Wtp5v2U3jmBMDhATYvANYfXGPCKwySm6IoyA47rT3VyMwXh9yWawQ6cWS+pDOxl1JVtd5IK0oP0ap9eP+rOdhaISHY/mzAEfudRjKTTHM21WEgwtPSYlWtt5oUC0YmjRbEbsgeU8RgT8WtO2PFKzfjp2syUbjsWSBycDnuRoFINsfZxFJ0IfZr6Otx2hJUmkZ6UgBUIvvLXsMbp0uYM7wFRkycJn+7oaZrIGX2VKNfwHE7RXicdGczrS0hwdfTfy/UHQM8k8yJT9cwJ4P5bDrszLHwR0TUBMJYM+PgCuyJrThU03YJsk2K30ZQCAZ0mmSmTDLOgWeZbgfcccY2YWbKZzANCz8SBn58CADQ7NRbkN+0NQDIz0UwHEWZPyTHT/zFUOWZ1Xan8BREfZS6fCS+dTuMbdVrI+lMbImcTbI9VVIwM51ulPa8BWe950eHSx9Eybb1zNf/L2HMJCNnU5pJZoV0kuwgAAvN1yoQIRu9UxTkjdsSkoQPHxuN6udPQj/Hb6iFGwNHPIqf/t6DcIOY/hhPDzxBQ1VFBClxnIxb8JRpHyy0YbrEFl21nj8QIVVdokVQRNlbT7Ct/bUY8IYfj3yxGgs+nsp8fR4sXLcP6/ZU2V5H0SSzL0DJoi1hlSSzxyRLFnRVNMnMn8+yjavwxner8N2GCEo7XAaoWqiIM7CnIiDbUlGWh0toHAn6BdpARL8twgx8gYiFTgUHK5Ow93K9LjhEgdmWkNccOHoYdlRG8eCYa/+VMeEVtSF8uWqHZXu1Fcyqwqz2VM2ioUTV0hJfj7XdMr4nBsNROTBSWJnWa4mLnsevw7yYdkUbXDTmCfn7JOFc5o9Nw9oZ197iPZtyvcaJEzviyFbMTMKENT2bGIZqaEHOJpL4Z2GSAUDbiyZAyCwE9v8DrHqX+fo8+G1bGVZuLbO9jpE98bCcaScvQ90iZvB5VXMOlYHKnkqrOVjOgSrgp6cAAAOuux8Z2Xnyj0gAv6eyFv5gWF6T29cz0Nbha12mZ6tYDmmKv+eRqETduk4QikTl+y/wuWVbKvEHEabY+zPzivDVlLux7qYsdN3xHhCoZLo+D8KRKL5YtcN2+5aalaltCzeSfTBCUDVYiHq6ZTCMqMH0TF4mmSAIqsEyiVp8NHHTT69PwOb1a4HMQqD3SPn7HqdDjgV2VdRiR3n8bMrjsyX12aD1d+WziSFBmEmpy2fFygRDDKYHUoQme5qiSWYyLVaF3GOvxOZqN6oCEn58eRzz9XmwYW8VFvyzz/Y6RppkvEOaDkWkk2QHAZiCegONBnkt1UZPNfGoZAPeGN4LF4+bjGs/2Y8FNa1wbviRmBCrw8G02RtB7ThFo5JSEbFLwddlkvGMMqZLbFk5TkiorrBvTrJ+BwlEKHvrCZp17YsbTu2KET1dOHzL+3XeJvbP7kpc9uoSnDxpnvm4ZQpUGrSIZVs873pgSTqTw8Uw6WwnENG0W4YjUfk6VkyyvJUv4o8RWXjikiPQ75LRCT9rpGq3JEmyJpyOEyiq9UxMMh7dF0MKftyWOJ4tYkv5nLYEAMFjRqPHK37c++UWfPR03Y8Jf2LWGox+bwUe/OovW+uYtfUp7Ut09sTC/LKaIBZVaZOwspx9bgdcjvjkPD+ZkkypoVS5C1jyEjKcAobePRmiU/lbcr0uWTB6T0VA1W7JyXJWJU60DJMKrrOJ7jyRp/GZsZztFHDiUxDJnsbKfkFGLtD3NoQiEqY/Ng61laXM98CCqkAY57+4EOdM+VnWU+OF1QQxtrOJ+HqpKIjSr6VFno4mGa09/fL6eNSW7wEKWgPdLk/4GUk67ypXzqYsj5MpMayG8dnEnnBmaZG01MtU7Yes+rNk/xKE2Hudn+mGQxSopTUA4KhL70ZW47aAfx+w6AWm6/PgrcWbcdN7KzDszV9trWO2B7IOwlDviVaJLXI9STL+/HkHnkFnwiWtLQWqK3D52MfQbnIVfvCeLrctE6j1nHfZJBc4HaK8pxjbE4uvR5fYUutlGsEWuUD29WLvdRELkwyA6HTi1WcexZ8jfTjfPR8o3858DyyQJAlXvbYUV0xbgvlr99pay+hzU6QAwnJ7cxr6SCfJDgIoY8HtV+upKcOhWmDuo8CUY3F+4Vq0yhdxxTknY0j0XvwdbixvfKRSTPq8eUAc6lBEwr7qgEzFb8IZiBglTgLhiFzVY2G/+Cgr7FaOE9SbPUdvPTlgC7TVetpABMDkd2fihbPz0ahiBbB2NvM9sGC+qhIyYwX/wRKOROXDUev0KmKjLJpk9BVB6wliJKjnD0QIC4O00zpFwXyE956/gVXvo1W+iLFPJk/daZjgOMWqi7wUfJjYE1d7GKUtRaOS/Jkbi7ny61TI1UVNUF8djFAnsN15jTDywpPRp7kDh+34CojULXX9rcWbAQBvLtrMPdETFlPfshmr9X4GW7JaW53s9DEyyWLV+kQdJXI2EZagEdZ/cDcQrgGaHQ20OyVp3WJVy6WcdLZZwIlKyQ4/XyBCFzxUU1TrM2UpABtMMl9i0pmWSQYA6HUdBr8fwbUf7sQL44cy3wMLlm0ulVkmxK54YdXSwsZyZmCSWQytodXe1IN2uqUkSVT2VLJ9Awbe8jzaPV+FjW2vk9uWCYj22O6KgO1iKEzExrkKOAwtklUB86Szeoos616tZTmLooDCuF3tobUnhxMYcDcAYOF7T2Lf5jVM98CK137eBABYvKEEW/bzJ52NRPuRoElGWcCJP/9up5gwoEYPHqcoF1kMmZmcA8+galFmPZv2zXkBbfMlFPmc6H3V/Uk/lwdhqLoGeAs4MOnCMZJoMAPtYCUrWwJDDKYHQ5YzQ9zU6/xRaH9UXyBcC8x7jPkeWLCttEYe0vbSfHvtnVZSALCQv0gjnSQ7KKAE9Qw6FRYUfLON/se3nsCdp7aMTUKMBJDVoT/+XLUSD742Gw5XzKEhGw85tBtk8zs6Locoj7n+c0cFwlEJDlGQHW1WWFUXYREsaJFSJhmnOLIkSUlTCouyY+8ZbUUEAITcJsAxw2NfzLm/TseEL9tcIv/7jYWbuNdRf27GgQhDtZ5BW0KZIJZ6JlmeRpOMDK4oyvKY6lSUfnkvAAnoeCbQ9Kikn6s1yXbYrC6CikmW+olH6mqu0edE1gpGoggytrRoHSef2yEHNSz2NO7Z97FgVEsck7sHWF53Y8LJs0Hw+cod3GuZV+sZA5EAewGnNhTVbRklDrAgQP4sWKDVUSLvWcMc43Nk48oF6Dh8Gga9VY3q3rcntC0TJLBf4u2WvIG9OhhLhT0pU/RSUMBx8VfrtcxMcp5TM8kAwJWBKy6/HA19AvJ3/gTUljPfBy1+2aicTe8t3WKL6WzEzGRlZUJ1nlgJjYOqgEPvN2qRp9L4Q/yZIG3MZn7ZuhmPIMsF5GV50XLgDUk/L85WCjg7bLYuw0Tjz46+H02LJA37xUd51mmhtSWokilM9tTxbIxbnIvjXt6Hh28dwnQPLIhGpYThQ28t5vf1FFsylgKgHSrjZ0hqCYJgTTBIxbRYTZLMNMYJVKHpmlcx50ofln3wOLw5BUkvIfYU6xqI2RNvAQcJXTgp0J+ljHWsJsWCoXVTD4qvp2GSsdiSIAAn3wcA2P3Tm9j220/M90GLXzYpZ9PC9fttMZ2N2s49Tocsv5LWJTNHOkl2EKCGRafCqlofNMnab1mCHU+fjEFX34FH5+zB9ztzgAteA4Z8Bm/zLgnVejkQqaDY7ClAqvUrt8Q0QhpmeyyFoI1ANvpAOIpAWHFQ1I4Ny9q0LZKVFBUR2uqKFjWhiJwIKEjqrWfY7AHg+FuwM5iFka8tw3uP38r2u5SQJAlLNyotM6t3VXIHIuRz87ocSRVBVgo+VActSyBiZE92NMm01XoaW/rl6zfRdPjHGPd9ANKJd+m+plFOcrWedwgGTCaIKcLoLNV6upYWEtS7HILc7qaF+vNj1arQMl8EQUnK02pVAIArKx9Cv//Fvpj3GBC017plhF83Jbaf/baNX0vJTEuOt6WFZfIyDCZeVauCECopAA20Ey5l8WuTAs7Pr08AJADeAviOGKT7GnI2rdtTJd9jY85qvSAIuoF9NCrJzzyLPdEOr7CaFAub1XqZ5axlkjGeTUPufA7r7++Oa44IAQufZ74PWixVBSKVtWFs2l/NtY4kSSpmpn4BJxiOUp991QyBuGW7pdwexl/AUc6m2vh9OYxtvXI3ji7/Cv+MzsKnrz2X0LZMQJLL+6uDcvBnK0kma/zpM1/Y9DLpWySJxp/pJHPK6X5aaFnO4GVmiiIGXDIKogAEt/8OqdQeY9IIa3ZXJiSCf9vGn9w2O5tIEoW2gMOa1DKTqpEkyda0WO2QJuVsMomblkwFqvcC+Yeh0cBRui9RmJm1KWFmGrFTuZhktOQCopdJJVNjQwpAGzex2BIAtDgW7+8/Am2eLcdtw+su6axOkkkS8Md2fnsy0iRTfy+tS2aOfyVJ9sILL6BVq1bIyMhAjx498NNP5lnYefPmoUePHsjIyEDr1q0xdeq/IzJ+oIKlpUvtOOlRxrWVfykaxT8/vAu8cyEwfRCalP+C63tm4MYze6DH/T8Dnc9LqK6Tg7ukOhij4FdRbPYUkJNkcSFdWxu9xynfsnoD4KHgA4DXRZfYqqKqLvIxyUh10e0Q5c+uMF6tL6lm3Oy9+XizpDte/DWEu56YinBt6gP7zfv92FcVgNshyglJQgdnhRnzhZVJJkmSKulMw8y0al8mSQJ+TTLy2dLY0odTHkRNGNjlagmhuJPua4pVmmSpqdbrO488jpOXskVSbUtGCRO3U5SHj7BWGLU6FQBQ4Iu97/ur6JlkAIAeVyOU3Rwvzd2Kl+66iu13KbE0znwhtr+ttIZ7LfNqPV8gQlOtdzlEmSGmt76ddhao25erKav1e9fgivxlWD0qC8+/8KLhutqzKS/TRZVgN4Jetb46GAaRBmGSAojbk1WLJA3LmVf3RY/lTGyphNGWnJ4MZJ02IfbFoilA5W6m36dBIByRP0vyrG3ntKeaUATh+Aen3Qez3Pp+iOl6DIG4la3aYZKRZGeZP4RoVJI7Bhqate3/9BQQ8sN7WC8cPlC/XTY/0yXv2aviyRR77WH6bD0e5ou6RdIssRWORFEbihUs64JJpmU5A5DbLWk1yQgGXjkW6x8fgMmnuiHUUZsYCeplWyrjP5vMtOSMWmuNwCq0TyaV6iWda0NRWcLXx1MQ1Xx+MsvZ4Gwq3bERk598CIGwBPQfn9S2TEBYzltLa2S5Dt4CDqg0/tgLotYsZ3NZDSTI1NhvtyyIx03+YIS5cH/E+bfDHwI2bdmKmnULme+FBlpfr87siUMO4FBEnSfJPvjgA9xyyy0YP348VqxYgb59++LUU0/Fli1bdF+/ceNGnHbaaejbty9WrFiBu+66CzfddBM++eSTur7VAxYsLV1kEwtF9CnjZK3m4n7U/vAUehyWgyMGXo7dK2YBggM46kpMnrUGk7/4FfmNWiT9Pkle7SyvQUVNWGY32WWSNY0zXX76JyZUyKtHBgCiKOgKUJJqt6WQswa0TDJyKJtXF/kcpzJ5QotLThrYqQSMfvR1nHOED6+f6YJz1dvMv2+Fjftilfk2DbPQqsgHAHLChhXVJiwItRg4jQBlMBKVgxqqQMRyghg/k4zY0q7yWkiSJDPJDNvDNi3A471245srsjDh6VcN122YE2NhBsNR2YG15TgZDMIojz+TpvppGpA9zKpFspJCQwmqaj1r0lk78QgcrYYynG58Fh2I4V/XYtyUT1C6fQPb71OA2NPATsWADVuCau8xsyfqlhbGaZQkENF7j+0II0OVCCbJ+D1W1fofHwKkKFr3PgvtTzjfcF3t2WTHlqBOOuucTR6naMic1AN9tZ6BScZoS3osZ25bAoAOZwBNe2Dxxgq88L/LKX6BDTvLahEMR+F1OXDc4UWArbNJed8zXYnnSYIfQjstNsBSwIkH9ZbtYewJ3aIsN0QBCEcl7KsKqGQ19G1py++LMO/jl2JfnHSvbtsy4kxKMkRG8fVS0R6W+P6WyUlbNq1cYk81JsGz+jM37xrgZZIlspzBkSAiEEQRh13yeOyLVe/F9ExTjA17E8+mXeW13GLgiq+X/MxaafBp4WfUizUriKqLcF4Xuz3Jw5TI2VRhnnR+8varMPrLMpw7wwF0pj+bPE4xofDHCr2uAUmSZF9P/UxawUvZIkknU8MXN0EnSaYuXtA+SwRdTjwXSx47B4uv9cG78HHme7FCNCphc1zTj9iTnSRZtUkRP5tDDuBQRJ0nySZNmoRrr70W1113HTp27IhnnnkGzZs3x4sv6ldup06dihYtWuCZZ55Bx44dcd1112Ho0KF48skn6/pWD1iwBOI+1WuqAmEgEgYqd2Pvym/x2oRhWPP85ZjtvgNPbLscGfMfgDtaC4cILM0cAIz6BTjreQj5yckxArIp7yirlashuV4XMjgODjWObV0IxAWNAeDwhlm21tOrMOpV6GhAK7avsF+MDynisLIyX/R0KsymeFohM68IM15/Dv0OcwLzH0fAX46nv1trq41LDfJsFOd45GeGt1pvNvGOVYDSbxLU6IFak4yDSdYk/r5UByOoqAnL75muvp8kAXMehCAIOPXiYTisW1/DdT1OB3q0yAfi9iQIQOsGPub7IzCq1pdwBCLqPcysRZLGlqC2J8b25TKdvcCorZQG593yGE5qn4v7T3Qjc+WrWLm1DM98v1ZXe4sHJEjt3jwPiO+/VuLSRjCrsDOLIweMbVMPciCi225pj0lG7Gl7WQ2C4ai8Z+olydb9/Dl2LJkBQJAFro3Qu03i2dTW7tmk85zJRZBMN1OrKXW1nmWCGKMtySxnpygHkLamZwkCfms6BL2n+XHLy3Owfvk8vPrTBsxds4dtHQMorCjlbNrGGYioB1fo6UiyFrJYzhOrs0lpD2NPOjsdohzYbyursWwPm3DLUJz4WgXGL2sItO5nurbW12tbzG9PRkLjJfEWqzzGhEEmRYtkZUBJaLtNEto+XiaZDsvZ6O+kQrMeQMczsacqjFfvvhpbS/x4dOZqOfFhF+TZ6NI0F05RQDgqJWlo0sLsmTXyQ6zWok0SK+2cye+LX9WBY6YXawT12QSrAk7VHrSr/Q1NswXcMHIUIBrff4+W+XDGJ58ibks8UgUEesUNfzCCYNyPYUnAKV0zlK3LJvuUl3ItLSRJUhVEY/cuioJ8La32Gg16DXsagsMNbPgR2DAXny7fhk+Xb2NeRw8l/iDCUQmCABzZLObr8cZN6hZhvWR+mklGB76SLSWCwSCWLVuGcePGJXx/0KBBWLhQn6q4aNEiDBqUqA1yyimnYNq0aQiFQnC5Eo00EAggEFDazSoqKlL6NxwIOHPncyifPwsvvl+NotMPw1lHFgBSFP/sqsb5L69GfqYD825uD0hRiFIUA37chO/XVuHbzXm4rH3swN26M4KhL1ej0Cvg7tuzEIUIseVxmPpoD7TofzUKmramuhdls/dbV+oZcHy8oktwRtfGttbL8bqwvawmIYFEnI8ChmoI1Jt9iE6TzDQQIROUGAMRvQSf7Z7y7kNiui8lG/DLuxPx7LoT8cLcdfjnodP41lNBrpRle+AQY44kb0XEbHBFhismQBkMR1FZG7JkCZK1PE4RTouJR1Az1aymW3IwyTJcDhT63NhfHcQ2C3vaPPdtNNm0CC6PFzjhdsu1+7VvIOvu9G5daDlFyQxywJtUrU/UIaKBOy5cHopI8IfCyIX+50UjNA61xl8qks5yqwG7PTlcbnz/xQfAuxdBWjENN/zUEbtRgOwMF649vhXzelrsjQcdR8aTZDWhCEr9Iea9DBaDK7J5Nckon38lSWYciNCupUXTfFLAqZFFeZ2ioFsUGTXiesz7uwqv3zQAFzfsaLpuh0bZaJDtkYPB07rYPJt03uMSHfYIDWiZZDTMTF4pAKL5UqBK8CUUL2rD8nQ3WnQ97RqcduSdaCSUoPzHZzFx77UAgH8eOtVyUp0V1K1O6qIfD6z2/2wd1qDpevHP0UujSWZiS0iRPe0oj7XsKwWc5HNE2rMG2dUb4BKBs683TzgDQL92DfD+L1uBOPuze/N8rvuD6myqCoQRjUpyAoMUQQoYC6I+isSWfDZZsJwzOQuiuixnGwVRACjrcQvaXfUOygNLcY5jAlbk9sOeylpMuqgb13pqkGejUW4GGuVmYFtpDXaU1XAxbv0m013l9mLqs4leCgAJ9mRWwOGzJcKe3FFWE+saMLEn/PQUruoi4eKT+sIzPHmipRrZGS70aJmPJfEWvdO7NOG6PwK954z4Sh5VEYQGtC2Sdcly9gcVlrO2IFpRG+ZLOucfBvS6FuFFL+KTR2/EHfmPQhBEHNu6UI6PeUHipoJMN1oWZgIAdpTzxU2BcFQuROjZAOvZdKiiTplk+/btQyQSQXFxccL3i4uLsWvXLt3f2bVrl+7rw+Ew9u3bl/T6Rx55BLm5ufJ/zZs3T/Ff8d+jce1GVJTsw6+bK7Fryz/AjhXAzlUI7l6D33f48deOKmDfWmD/OqBkAwI1VdhaFsbWvZWxBQQRHQ5rggGdijDw2CNwXfWNeOrIb4Brvka3Kx6gTpDBgElmt9USqhHJBG2Ls22tp1d5K/FzVhcpE1tVFH37vEyyMk01BGrR2toQH6vE4UKk3514eVkQ1935NLL92xCKSLJIrx3sUYlmN407CLxJMjPHCYzJDW7HyWoQhu3AvtawpSUaDuPsK0egw5QqLMs/E8ixDtL7tWsg//t02wln/Sq2dmoQLWgYK1WU7ZbkmWAV7i/TEUdWWFScTkPbQUCL3hDCtbjZ+SmgaoOwg3Akiv1xR7VZfqb8fHC3iJkxyRgT70pQT6v7YsxUsyOMDHUBp7QmwZa0lf+qP79DVdl+hKNAr8vvsVxXEAT53AOAE9s3MH29FRR7Ut6DMk5bopYCYCngcGooqc9Vj1OZFssViAD44suvMe1sL7pV/oCOQkx0fNnmUsvfs4J6oAPZf7eX8ulyWjG/WNrkwqoWdBqWs1VLayrtaW+F8RAMYe7DeHZwBrZOOQdHn2mtydhHVRA9tnUhFzOHgPhakpTIqONhOYOyRZKGlQlVEYK5IGpWwOEsiOYd3hPnH98RPRqLOCP4DQAJX63aybWWFmp7Is8Mr2amWTKKdVos+QxpEs6w0Piz0zEAAM3yYgmP/dVB7K0KyJp2SfZUtgX4dToAIGPw/RBE6xC9R0slyWybXKDznNllOVv5ZuT9Nm1ddisyQiyTzMnZ5HaKCf4Oz8AvNaLHjUGf6bW45JW/0P6ftwAA89ba9/XUMbVyNtmTqYGRPaWF+6nwrwj3aw1LkiRTY9N7vd73AeDOO+9EeXm5/N/WrVtTdt8HClwn34VzbrgTbz05DoNueRG47CPg8k9w2PD38d0bT+DT6c8CV30FXDMTGDobjsH3oO+Vt6D7bR8AY9cB9+xD5p1rMefPvWh383v4wXk8HL5CrntpkqdU69VsoVTg4XO7AAAeOa+L7bX0xJHl6iInk8wssRWORGUdC5qWllSMBSebXCgiyYcuK4QjzsOLKx1Ysy+Cw1bGpomlcrNvmONJYHjwwIwyDEbaMKuYsZkmWTQqmbaC0oBo7+0oq8HeCn0x143fvYxdpX7s8wOHnTVOdx0tOjXOkRkwp6eM+aIMA4lEJZTXsOtUgJKxUkXhOMGG2HiJzl6gN3WQCYIAnHQfFm8LY/q7X6G4dAWWby5F2GbL5f7qICQpJixd6HMntW6wwkz7i1X3hWUIBiySZPIQDN6Ec/x92VVRi53x9ybpbJIkZC15Cj9dk4mVzw1B66NOpFr7jsHtIQjAsL6tbEsLKM5pcrWe1ZZIZd9SCoCC/ZLJ2dJSanCu2rUnR/MeiHQ6FyIkjHV+CKTsbFISqE3sMskspDBYzia/SgeLalosERqv1R/SxDrdT4umal/PiOW8YyXw12cABBSfO5Fq3VyvC6d2boQMl4iRJ7bhujcCdTK2Uqd9md3Xs/bPaKaYw4Y9legkzI2meLLguTc/w+Ib8nFt863oJ/6GYCQqa2TZgfrZaGbTnswmsmYztofVyNqb9oX77XQMIP75Eb9n1dbYwIpsjzOpuPTkrZdg3no/0OoEoDXd2XRRz+bwuhw4uWNDNC/I5Lo/9X3iX2Y50xRE1QkuFjaZPNky05WQP2CVldBCzCnG4AHHo8ArYFD0JzgQwbw1qTubGuYoCedSf4iZQQeVLWW4lOFparD6eocq6rTdsqioCA6HI4k1tmfPniS2GEGjRo10X+90OlFYmJzY8Xg88HhSk6Q5UNHh6EHocHTyeHofgJO7npH0/crDItgilgEtegBZiVVv2anjFEduqgrQqCYeMeDSo5tjYKfilDDT9Bz0UlVFhAU0TDJaMVcfp5irnoZSptsBhyggEpVQURvimrgmOp24YsQtuHr+k7imx04MjuzDvLV7cWFPe4xMteNE7tl2UG/V0kJx4NWYOGF6yDKpLqrFfY3uzQpK5dWvTLdU21MkjDbrpmH9TVlY2fhyFDY/nGpdURQwY+RxCEejTNMn9UASzsFIFIFwFBkuB8prQrIOBotwP9QtkjRMMstqPZ0mkxrqBF+ersafjcpay94YuyATP2/0o9/PU7D7jJg+Wc/DCriXJMWIoiw3RFFA07wMrNpqv8JoRsGn1yRjY6uYt7SwsTy1aJDlkVt5f4+PTU/S91v3PbBlEQSXF0cMeZR67T5tirDs7oHMQ1/0oPecleowG2kgs1VoxZFNNP5o9Jj0oMd8Qfzv3FMZsGVPv7cbheKlM/DVgkVodfhMzF1zMf43uAP3elDZUyxJFns+dlfGxPzNNKb0oCR29Z9ZlkEYxL9wOQSq+yC2FI5K8r6sht1psepk/N5K/aEyk++8GucVRdGkzyVA8RHUaz97SXfUBCPMbbh6yMlwoTYUf87ipJoSHV0vGtC0SNIyyTI525fLdPxU2wUcAL4m7fBd7jkYWPYR7nC+j/nBLpi3dg8u7mWsQWyFqkBY9s/USeftZXzMTLMiJrGlQDiKQDgCj9P8uWYdqmSWhGMZnqaH2MAKL/7ZU4WVW2Ns2AYaW1qzeDbGvbEIEQn4c8gV0J9dnozDinxYfNdJcrLYDvSes3+L5WwmreFyiLKsSnUwgjzKXKCRDnUq7OmaB6ZhaOM+OMzrx57QfMxcNxChSNSWHIBa+zEnw4VsjxOVgTB2lNXg8IZs3VXVFl0uVlIyacRQp0wyt9uNHj164Lvvvkv4/nfffYc+ffro/k7v3r2TXv/tt9+iZ8+eSXpkaejDtFpvUxy5UW4GBCF2UK2Kj1FPFZNMEISUJMhg0G8tO/M+xs2exnGK/8xtIeZKMz1JD3qtooIgpKSvXDrqChzdqztyXGHc7PwUf+2wr+unBCJKS8vOslpEOaYeWQXiJFigCe7YHSfjCWLkeRAEcDso5L1ZubUMoUhMsLMoS3Wgr3oP2L8OvrwiHHc92zQdr9thO0GG+PNPClHkOSNBSHaGk0rbTbserJhk1Lov7EyyhARfqsSRVcg4cQSu7ubCmwOr0FnYgD9t2pOioRQL6JumikmmG4gYJ7FY19KDHotKWYuOoWEEURRkHRwyRr1YFYhEw2G89+hohCIScPQwIIdNv6XA59atyLJC7zkzSjRZgZatQqdJFvtZIBxlYj8ayRikwp7WRxrhqnlFeGZJECXzXseaXeXck/MI1JpkRT4P3E4RkgQuVo1V0TFLZiJb70+sukeZLofplDa702KbqlrnCAu8WFXAWfDxVIx+cxU6TKlC+VE3Mq3tdoopSZBBZxBGOBKV/83Mco6/V2YtYtXMZxOnXqbq3rNt6GWq8bp4HkojGfjlt39wxPq38PfOSlvrEWkOn9sBn8dpu0XMjEmmTkrSDBdhTWxlmXQNVDNOytQDeW/ks0lTwMn7fTpu6OHC+Uc3Q6eTLmZaO9frskwa0kCvgMPLcqZtkSRxKq20BktB1ChJlgp7KhPz8JbzPADArc5PEQz4sbWELzlMoB2QQp4ZnvZlq6FKZs97GgrqvN1yzJgxePXVVzF9+nT8/fffuPXWW7FlyxYMHz4ciLdLXnnllfLrhw8fjs2bN2PMmDH4+++/MX36dEybNg1jx46t61utNyCBiN7DX0lZBTOC2ynKBvxrXB+ka3wKx4EEUvEvUyfJuKdbWgcish4ZJfOFdYIYCSq1TIZUVER2VgTwWPgSAMD54lxk7P+Tey3E26NlVlS2R058BiNRrqqFVSBuNeUrcS02bQn5IAmGkxJ86ooy70Qhotf2y6aYLXVolCM7O4HqCix5497YC48fA3js6fTxQhAE2Xki9sTbugyVfpVZYot2n+JhkhFb8rkdCVU/O9Mt1WuvyzsGZ54xEC1yRdzh/AC7bWr8aVudiD3trwqY/p4e1BOP9JwndcsJjc4h60RK2Z509gFahoYZSGCvnE258s8+fvZOXDZ9DY6ZVoto75u5r2EXsi357Z9NCpPM2JYCYUW8OMskAaN+HvwMRRzDs8mm2DjirbN7jr4Fx7Vw4skTJfQXlnM992rsVTHgRVFAg/hQk33V7OuS88SopUvRtKQ4myy0N7UQRcHQnqJR9WQzvuCZBGird1WiMhCGz+1A66L4lGRJgve3N9GnuQOX9e+M3Fb2BeB5QZKxxJ5ssZwppiWzs5zpbUmSJF17MtIFZcXaSjeuWdIa13xeiz9/+Ay79tubZq7tJiG2RDQ0WWGWKHaIgvz50NgTa2LLjEWtfOb8iSjCsiO+nvpsws5VKN4+C1NOz8RHn33DfQ27IPFEWY3y+fGynGlbJGntiUeqhnSXJJ9N9u1pV3kt3o6cjL1iA+zYuQdH/fMSdlfYO5u0Ot+Kr8duT1Z6yWas/jQU1HmS7OKLL8YzzzyDBx54AN26dcP8+fPxzTffoGXLlgCAnTt3YsuWLfLrW7VqhW+++QZz585Ft27d8OCDD+K5557D+eefX9e3Wm9gliEmm0aODYZJ83yF6+p2iomb/QGCovjmsq9S2bT4q/XWTCUyYcqqGpLpomuPSVrfYCiAoiHAv9HtLK/BSulwfB/thVPerkb5jPttbZwVNWE5KGuQ7YHH6ZAPTPXhSwtLJpnHmO2VvBYfBV+SkgPHVNhSs/xE3vgxrZS2vKl3X4djn9uE4bMFoNe13NdIBch0TGJPpLrIKowMte6LqT3ROU5eFzuTzKhyaWe6JQFJiL3suAQRwYkTHL8ja9sC7vWgaQ+D6j0v9bM7eLWhqBxA+nRsgLwnkSidzqHZpEw9yO3LZmeTlz9J1iw/cbpUL9LmGgkj8vsnaOgTcPYpJ0DMtie+bweyLamSPXKSjJHlTNMimSgFYBzkuR0inHGmHEtgX2VlTzbaOXaW16AsuzUm3T0cA9s4cbvzQ+zmbOUi0FbrCQOunMOerM4TxRej0MsMEqFx+kDcSDOzMhCW7Zz3fGqqmdR2VMt8hTW8fg56iH9iwXX5eOaNz7nWTxW09kT2xRwOljNNiyQt84WHSVYTisgT6dRnH/kM/cEIQpwal8FwFPuqAljd+UZ0aODCjT1EHLHH3me3VzNsiOxfZD9jhdVEVqUgStG+zFvA0TubasgzlZq4CQCOVvl6+CGu59f5fAiN7Wsy86IoO+Zb7K8KykVhEjexTop1OUS44/Zn5p/Rdg3IBAMGe7I8m2wUcHaU1yIANybtPwE9X6nG7JnfYuuWDdzrQeXrka4BxdfjiZvM5SuyTQqWaSj4V4T7R44ciU2bNiEQCGDZsmU44YQT5J+9/vrrmDt3bsLr+/Xrh+XLlyMQCGDjxo0y6ywNOmSZtDmQKpXVhmSGU1VC4Ec2y7UtZFwXaBBvWdubEIhwirl6rJlktMyXTNVaLK2HStIg9Uwy0mZS3uVazN0UwbJ1e/H3/M+41yPVkJwMp/xs5NsI7Gk1yWjaLVkdJ49TCRy1LWKpsKVOjXPkUc9QB/WBKuxa9R0cAnBU/7MBl73R0nZRpLEnWRiZo2VG1iQzZWbSJZ15RoMbJeByU1BdJILFUm5LrGxwDsbMrsXrE2+FFOUX799blTjQgdhSGYeDp3Yw9ca5q1u4aBLlrIG9GZNMsSf+QOQ01dnkdTnQijBfVr2HSw/bjw3/a46xT77FvX4qQALKhLNJFhjmExo3a5Ek77XX5TBNGgiCQKXJlLS+gaZMKsTGd8btaXPH61El+NBB3Arhj4+41wupJsU20NgTTyBi1dJFnnem9jAGJqWRZiaxJbdT5PbPfB5nwpTko8nZFI0C398PABCOuR4ZDemno9cFSEGUJGxKOYXGQZnYMvLFtKDxG5PWrlUkHNQ+itrH4NUQ2l1RC0kCot5CzHz9MYzt48GlNR8CQf6ks3YiNwnqyzj8PCQMabKS1qBpX2YriJrpz5KiTo4NTcrBnRslfN2zZcyeFnw8FSOe/hw7qwSg/13c66cChb7Y5xiOSrJ/Uco5KRbqeMfAl5AkiUovE6oppUwFHEJeSDqb7BdwdpXHWiC9/UehfUMPTm/rRN6qadzrIYGZSc6meAGH4wy1Ok/STDI6/CtJsjT+XZgFIoQlYWezv6hnM/nfchBygIEc2qS6WBuKyDpgWu0UK9DQfKkp+KoDm0WXzJr9wueUSJKEHfHNvueAs3DT2d2xZlQW2q17GaBot9KD3kAHQnfmqohYJLaIQ0UV1DMyydS6b1p7SoUtiaKAIce2lL/u1SquPLxoCh45IYo/7+yAa+59kXv9VIEIoJNApISzPQyqgLLGJBAhn5NV+7LC8uRhvhgknGtCVK2GeiAJ50a5GdjT6Rq8vCyIXzZXYe4bD3OtBzWTLIdUF0m7HkdQr6ouijr6WqIoyHsUjT2xTrc0a2mR7clGkkwd1BfneGJt0KEaYO4jsfs86Xb4Cu1Ne7ULwnwp84dkxi1vu6U6OWnUIkkzPYxAbt9kCkSsmGQ2kmRxeyoqKsY3uRfjjZVBjBh1KwLVfDp/xB9wioLMjCD2xFPAsWrpYpMCYB9cYSS+rNgSfwEHAK49vpX8715x5ssXk+/E1K9+RciRFZMB+I/RQMsk4+wYAGWLpBGrXwuaDgQtKlV+pFrCwekQ5XOTdrqjFrsqlLPJfcxQbIk2QBFKEV3M71+o9f2ges8ra8PMU50lSbLU0WNhZtYwapLlmOjPEv/ayh8xQ6siX4Lmcm6mC1I0iv+NG4epy0KY+HcLoNDetFe7cDtFeT9UmJn80ho+C83YQDiKcJwsYNUWTqMNrYVhB04KtJzJ2dSkMA/3PvIY3jrXixMrZgCVu7nWkyQpyZ5sMcksfDOfCXMyDQXpJFk9hJn4cirYL9kZLtx7Ric0yc3A9Sf8t5u6EUggsrcyAEmS5E3G5RCYNW98cpLMpLpI6ThluESZqcFTrU+uiBD2C99GV14TktuqinMyEB40AY1y3cjdvQRY/wPXmnqHKqHh2wnsjR0n+ikt/hCb4wSTFjFiS3YDkUuPboFuzfNwdrcmMZp19T5g4XMAgPaXToQrw95Y71RAyyRLTbXehJlJGdgTx6omlArmS+w5ikps7ZtqEMepcW4G2nY6EmcM7I3ZV2TixKrPgAifjZKqfGH8vSbVxVIO3RcacXCzIovxenT2ZHY2VaTgbBJFAa9c2RMNsj144OzOAICPHh2JRX9uBnKaAb2u4147VcjzumR26v5qe4GIx6mMdzcK7I2edz14KdrNtKg0YAKkYlqsOrBfVXwe/jcnhAUba/DaAyO41iOMvbxMt5wklpmZdcEkkwss9NMtfQyTko1axJSzyZ44ft+2RRjYqRhHH1aA7i3yEPRXYcyDz2DE17V4YU9PwJc8cf7fhiGTjIflzMAks/IhaIdqJKxtom1r1552qgo4DfKyMSlyIVbsjOCiG+9Bybb1XGuWVSeeTWpfiJXpHAhH5aEcRueJ2VAyLVg1yczaLStlKQB79vTa1b3QNM+Lh86NnU3C2ll4pG8IJ7V2Y/ykN2ytnSo0yNLYk7xn8tiT+Xmifq99FvsejyZZpWHclLoCTuNcL2ranokV0cPhjtYC85/gWi8QjsqxGPGr87z8BRzC3jOSqTFq1U8jEekkWT2EEfOlNhRBIF65trvZDz2+FRbeeRIOb5hla526AkmS1YZiI4PVGkqsIus0LZKy42RxIAuCoNJkotvsJUky7Nu3W60nG32Bz40MlwPOghZ4KzIQALD94zsRDbNvoIQarBbLtEPDtwrEFdowfSDCMqXISPOsIkWBiM/jxGc3HodnL+kOAPj00euxp7QCaHwk0OlcW2unCjIzszJmR0q1nv1vpxHbJ5+llT3xMMmMHCePU4TLEdsbeCuMO+OszMa5XhTnZODPLreiZ+s8CPv/iU0q5YDWnogtVXBU62kGVyhJYfP3QK1bRq1JphoMoEWqApGBnYrxy/iTcUK7BijbuRk3PPIm+kz34zvvGYArg2KFuoUoCiiMJ533VQZRE4zI7yNrIELTIkmrl4mEghAHk0wbiNg8m2pDyrndJNeLxsWN0Kv/yXjsZA+uylkIBNgn8ym2pNyrwszkOZvMmcksgYgyUIO93VKbhKugLNpZQRBiSecPh/eGx+mAsOpt3NxTRJdGblw74SVba6cKWiZZCWld5mG+ULRIKsxJc1vlCerNWJ927Ym0hzXJzYDLIWKB50Rc+nkEn/xRg8duG8K1pvZscjrEpEEKtFC/T9Yaf/TSGtTTLVUFHO0E3VQUcACgc9Nc/DxuAC4/piUQjQBzHsAJLZ34/qU70aR9d1trpwrJGn/8TLJMC2ayeliPHrNdDWXo2YGhSUa6BhrnZaBRrhePhS9BaY2EcY9Owfplcy1/XwtiS6KgDNixQy6wYpKph8rwdk4cCkgnyeohjF/Ka3cAALHRSURBVJg1lSq9A7MpV/UBPo9TDh72VgZUmi8cQT1FiyRtuyU4Koy1IaXCZlgR4a4uxhynRvFWruKcDEwJn42750XQ5u5f8PEz/2NeU69tKt9GS4sVBZ8EInQ6FexMsmyD6mVligIRNTb99jMufWQG2jxXhc0dRwDigbFFy8xMTSDCpVNBwSSjnhbLwXwxcpwEQZCfWV7dFzWTLMvjRMSdjSnhswEAge8fQqCKfZqYNhmrntjGqlVB025MyyRTv+esTDK9lqFUBSJqhH6egvM6ONC1qRcDrnswZevahaJLViu3LvOwnKE6n2oM7Ik8yz6KM59Lk8xgHzT7rGlAghCvy4EcrxMNczLwd6cRuLJfK3hDJQBHm5hsSzoFHC5NsoB50plpuiVJuDFoiBmfTcl/p20Eq+H6eRJGH+PGqs+eR1ZhI4pfqntoNf54W5eRamkNDr1MM21buxp/RC+zUW5M37Q4LxPNTrgAl3Vx4vqma4CKHcxr6tkTSU6yBvYk+ZHhUtixWrDYE6smmXr/0u5/qRjSpIW06n1g799ARh5w3C0pW9cuGmQnduGU2GlftizgsMRNKSzg2OzAiUQlmeXcODcDxTkeLI52wvlfefDYglrcdys7Y10eDuF1yQlDO+QCKyYZeU/CUUkmz6SRjAMjAksjpci2aA+jydrXB6h1ybbHJ2I1zmUXQKdpkTQKvPUg675QOk+E0aEVc4Xqs7bLJGuSR5JkHpQiBxu9XRCIALM/fh2IsK1dLm/2qmq9l7+lRZ5uaahJxqD7wsEkyzZgqqkPtVShYs4z6Fos4ti2RWjZ95KUrWsXDTTTYneUxavSeezMHKvgQc2ctJwgxpAgJTASc0UKaPhqTTJBEFCck4G3IwPx4YYstH94LabcdQ3zmlp7cjpE+ZlkbWmhqa7LYuMW+xNxVkUhxsKjgVG7TDSqfOYpC0Qqd6HB6jfx6lleLP3mXThc7E5+XUFmv1QGZVsizwwrMi0q7P+aJlnKCzhKEEJsKQwnpruviL3g5+cQLt/FtKYeyznfFpPMvH2ZRffFaoqzHozal2UNpRQmnLH4BaBqN5B/GIQeV6duXZtQ25IkSdheRti8HGcTzSRzyuKYj0cv04SlZp9JptgT4oXRda0vxtPXHo82OWFg3mPMa5br+EC805etBjQhoSBK4+uxSQF4nA55GqM2CVeZYnuqrSzDcecNw8vLgggfexPgzUvJuqmAuiBaUh1EIByFIChi8iywSmzRTopFQkGU3Z4MO3A4E877qgKIRCWIQmz/KY6TDKLHXouuxSIuabYT2PU705rlOhNU82114Fhokqm+n265NEY6SVYPYdR+VhfVkAMZ6t76baUxx6l5AXuSTBAEubqbCt0XpVpPt9mrKcnaIMr2Zh9vnyMHI2GUBQfciVlDG+HVU0LACrZpcMSJS2y3TAGTzIqCT+E8ykENQ7XeaOpRqlpaZOz+C13Lv8PS63z44P0PAI6Aua7QQMMk21oaSzprx5rTgExVNAoeAuEoQhF95qQWdphkep+bXUFX0qJAkorFOR4E4Mafuf2wuVzC6x99DamGnk0WikTl51/Pntir9dZJYnommWKXtMkd8p4HwlFZtB4AqoJheU5Iyuxp3mNAuAZofgw8Xc5OzZopgjoQ2VrCb0ugaJGkZWWCg0mmTm4mt7TYK+AQWyKaU+Rs+rimB/6MtsGpr+3CHdecxbRmhUkgwjfdkrCcrXVfrFpaaJIEWshdA0kF0dT6evu3rsOZN9yLJdvCwIB7AOeBk3Auyo7dS00ogupgBNvi9tSMw54yWdotLaUAiF5mJKl9z3BtwqbVWVsuiHImnYn+ITmbYoOVBPzYbGTsBcvfAvatY1pTT3Iij3NIk9JubOyb0RZEJUmSB5mwJJ2NJv7JsVOKCqKvPzgcizbV4IGfwggdxV44q0uomWRb43FTcXYGPE72KblWLZJMTDJGcgESYif9IU2BcBSBMLv+LDmbCnweOB2inEDc1KAvlj59Oc5o5wTmsDHXdeMmGwPP/BYyNbEhTfGhZzamfNZ3pJNk9RBWFPyUVhcPYKh767facJygZqwYbNBGOke6a5HAnjJ7b5aAM5sWR4OymsTxzmSz3xnJwinXT4gFv3MfYxoTbl4RYdvsJUmydJ7MxMC1sApq9GDEfkmVOLKMOQ8AkCAccQ4KOg9IzZopAnGcSqqDKK0Oyu9F03z2pLMVk5JFzNXLmHCGha0aTYujgSQpY9PJ894wPhW06Tl344WLWmLx0AwIiyZTr6lO1mXrBfbVdcAkM2Aia8HDfFG3TKs/Z/J3up0iMhgS2EZYu+R73PrQi9hbHQVOnnBAJZyhCURIAacZhy2BIrHFxCRjbGlRX1NrT3ZsCSqWJGF6kYlfJTURbGpxIWati+CVr39F+eY/qdes0NXLtMEkk9kq5rovUcl6mrWfIklgtH7S2WTAoODFo7dega9W12LEtwKkA0QnkyDT7ZT3M7sFUSuhcag7MiyHyljLdGhhljRQ7Ikv6Uye7zyNPa0UOqC06Um487tqXHPBYKY1y/3GzMxyViYZxeAK2nbL2lBULrqYrZe0vuzraQkGKYydastxTe5iPDvYgyduvw7enAL7a6YQ8pCmygC2kWIohy2BQlqGEDlo3le5dTMF+rNq2+U5n8izTZ51j9Mh29X27rcBggP4ZzaweSH9mjodOMTP8wcjzMm8aouBZzBJCqehIJ0kq4cwEuTT04qqz0hlIGJF9VXaLa3fWxpNJv21kzc71tZNLcjGTDb43HhbZHlNCOhxNZDXAsHynVj+1j3Ua+oFIooAJZvjROPsyO1hFIenn1GnAirnNLmlJZzwcztYPOMVvPbB54hIYqxSf4ChwOeGIMS0GH7fXg7EnSmW95Eg08LZqVY5NpZirvIQDPuaZOBg0iSsqxL8JfZE/l8ZcWDEhOeR6RKARVOAqj1UaxL7zPY4E3RaeHWUaHRaeJhktHA5RJlJqF4/1cyXe24dhmcWBzByfh7Qsk9K1kwl1DpK22ywMpFQdEmBXiajODJZ2+UQklpueTSZ1CiPP9ukVV/N4jj6olsw8bx2WHmDD7krXqBeU2GEJAcifNMtzW3A63KAmK2VPVm1x+hBGdJkIAWQCnsq24rRLdfimm4uPDJhPASH/SR2qkHsaUuJH/vjGko8BVGfRYtkwhAlC3vyOEX5s6c9n8ymOsu2yTl5mSSdiT2Rs6miJoSth1+Bx34O4vV56/HnDx9RrReNSvL9JkhrcJ9N1u2RtIMw1Oe3l0XjTyfpXBuKyKznlDDJFk6GJ1SKm07rjEvHPW9/vRRDkakJYmsJiZt4zyZzckEVw0RfmgR20voGXQMOUUCGK3ZeGWl5mqFMEzdBxfra52mOaLcheP+PEIZccgGkKJ3eF4kn1HFTdoZT3kOYk84U9sQyLfZQRTpJVg9BgvawavoYEsRcDy0m2Z4KVXXR5mZvlCSrZghEWIMHM+aLjyFBpAey8eZ5NUF9bRgR0Y2N7Yah/eQqnDTqaZTu2Ei1pp5WF0m+8TpOMHF21NUQo+mjBDTT/bQwEqCuSJE9SdEoxt5xB4Z+UYsH1rQFitraWq8u4HKIcjC5bHMpAKApb3tY/Jk1qq6biRdrIbfHhCLUE3rMkgbkeyyaTAQkAexRsaGIw1NeEwI6nAE07QGE/NjwwXiqNY3aPHh1lKyExqF63q0SJTTtMXrI0mnDU5JkKTibdqzAsMP3oFcTB+599Fn769UB5HbLioASiPBW6y1Yzix6maxDZcykAIidhyJSQmstLbTMF4coKC1ngQjGP/sO2hSIwKp3gT2rqdbUn7wc+3d1MMJ8n1ZsSkEQqFvEiG16D7ShMnMfQYvsCKbfPAinXDPO/np1AGJPy+NnU3aGM+EzpoVVi2RtKArybZpJ5twFUb2zSfZB+VjO5Rp7Iv8vrwmha//zcO9FR+GLS7zotPVtuntVtcjrty9zspxTwHyRtWfdDib9Zb2kQSoHngVLtkFaGGeSn3QP4DjwYjH5bKqslQs4tskFVtMtqc4mNlsKR6Kyj2nm6/EURMtkBqXSdp6bqRAM9nQaiqFf1ODtxTvx1UsPUK2pV9gQRYFb44+m6EJIHSwTQw81pJNk9RA+twPO+MFA2umQQBk+NJhkhxXFgvjftpdjd2VMtJR7syfBeCp66xlbWsxYalbTY6ygrYioHcvK2hBaDByOrMwMeJ3Amo8nUq1JAvtUiCPTODvq99zqfaCZ7qcF+Tu0964EIvbsKfrXlzi/dQ2aZIu44f6pttaqS7Qq8gEA5qzeDaSiPczClmgSmb745yhJSCgImMFIzBWqYJeHfq5lZUKbJBME+I8bh9Pe8aPDDa9iw/J51Gtqk2T8ui/Wzz99UM9uS1Ddu3oypyw0brdSL0nAt/fg5NZOLHnuGnTpf5699eoIxJbW7K6U9f14q/WWLGeusykFzBdVUYPHCSdnU25mckKrzB8CmvWMJZ6lKMq+pGPf6gUiORkuuVrPwiaTJCmlYuM8TDLy3mgHeOhNHeRBdMdvwMp3Y18cgG3LBIdpziZufT+LFkmzIUp6YGW/mJ9NJEHEXsCpCUUQjMTOR62vR2KECVM/wZkdMyFsnAtsmGu5ZrlOUQip0Ms0Zb7os/qT1rIYqGGEPB17qkjhwLObrzgNJ03bi1XR9kBHNj3FfwstCzMhCDEm2cqtMf1UbnKBxzzWMRuipIVVDKaFmjigl3iVk25cZxORqUn29cr8QTRqeyTGX94fD/b3oH/NN0DU2mb1Cjiw4etZTbcEAzPzUEY6SVYPIQiCPIaZjO9Fqqv1BwG6NY9NjPl7ZwUkKcZEKvDxCc5aVTG4prSkQJMs0wbzBSpHhlREXA5RdlLK/CE4XG58Mu05rLspC8dWfEU1Jtyst74qEEYoQl+tp3F2PE5RTgpbVhgpKMhakGdGe0gporU27CkchOOH+3Frbw82fXQ3mrQ/in+tOsaRzWL29Mf2CuBfEBqnaV1WswtpE8VGYq6J98ZfXcxTVxc1CdbMToMQySiAJAE/vXav5ZpKUJ/4jMmjwetwuqV1uyW7LQHQP5sCKbAlAFg7C9j0E+DwQDjpwGtbJmjfKBtup4jymlAKWc72Czg+Ro0/M1tyOkS5BdNOtV7PnohdSP3vxj0/BtB0xMdY8uXrlmvqiSOLoqBKGNDbUzASRThOKzILRGh1lHg0yeSzqVp7Ntkv4EjRKM46bRBunVWD0hanxpKSByiObJ54NvEWcBJaJHWeWTPmpB58FkkCs/WT1mL0G9UgtuRWtbvnaosV+YcBPYcCAEKz77NsE9OzJdjQ+FPOJrMCDp3QOO/ZpGdPqZICKFmzCG99/zt+3BRB+RFXHbAJ5+wMFw5vkAUA+HOHPXuyGqxEOykWHEwy4lN4nCLcOtO3rWQ/zKDtwIGOPY1/4RPcPaghsirWAL9btzAbFTZ4k840BRxiT1YF0UMZ6SRZPUWBjrCzMhb80GCStSjIlBlMiG/0tFPYtLBqkeSZ0kIdiJi1W8Y3+mAkytXSYsl+AdDulGuR2bo3EK4F5j1uup4kSbqaZOqNv5whEKFpjxQEQQ5EzKpC0ajEpUlGEnzqoF491c2WPf06HShZD/gawHXiWP51/gUc2Tw34WtuJplHYT/qtUiyTIoVRcFSk0kLs/ZlVkdMDVJdzDWxJQB4bspL+PvGLFxVuMpyTLhhdZFTHJlGzJV2EAaPJhnUZ5PK6UuFXmao1o+Tz7oYb6wMInrMCCCvBfdadQ2XQ0TnJjny126HKAtps0KZIJaK9mU2jT8rW2VNEqhRblKtJ3YhFHfEdmcr+EPAu8/dD1i0XBsyM2VdMoazSfV+m01LzmJkZvoY7EltS2qpgUqD5DoLln46GV+v2o0Xfg2itNsI7nX+DXSLF3AIeFmZgiCodC6Tn1mWswkUrGktzJiZvlS0h2W6ZB9YtiX1M3/CWMz4x4FOdy/AjOfNJQEsbYmxgKNMXjZjvlAyyShYaXrQ8/WUuMleAafgl6fw141ZeObKo3DCxTfaWquuQZLOBPY1yQzOJg6ZmpoUsDLV17RVEE04m+JSAOS59+YDx98a+/ePD0EK1ZqumcqzCap9wix2kpmZaU0yQ6STZPUURCi9xK9TETlENMkEQUBXlfPUvUWe6evN4HUZa3+pxVxZqvXULS2mQuOq9gDGQESSJIPNXhPYC0Ks1QLATzOmYcOyHw3X9AcjcnVdHfA6RIFLJJK2PZJmbXX7BIsmmcIkUw4ptR4Hr/NUsn0DzrtuDFbuigD97wI82Vzr/FvopnGctF/TwmfRIkkcJ9rPyEocVguz6iUrpV+NMpPqonpKZfsTzsHhfS8AIFmOCTeqLpLEbAXjpDOapHMWJQWfRmhZD/osZ/uByBsPDMectZW4/fsgqroN417n34I6EDmyeS53K09qmWScGkoGn5uPcRCAGmb2pE46T3jmNXx+WTae6bMfWD/HdE09cWSY6E6agTz/HqcIp8PYlfZRMzPZA3sSQEWlxL3ANpMsEsYxu9/B7Csy8cSwgWh9VD++df4ltG+UeHba8fXURRwtyGdopUdG4OOV1tDVn2XTC1RDbg/T0YmtVGu5ZjXECkc3rCuJ4tnJk4GI8TObSlsCJZOMnpVpXQzSg17XQEqYZOt/ANZ9hxb5btw86UP+df4lqM+mBtkeNMnL4FrHUqaGwZ5Sqe8Hm+3LSkFUYTnnqYeeERx9A/6qzsc5U1dj8rirTddUCoWJ90tbtNSCRg6DVn/2UEY6SVZPoUcbPtQ0yQCgTZw2DAA3ncQviG7GJFOLvNIkIJVeeFommXHfvtspwh130KsYKyLVqoSWXktLwmbfsjce/KM5TnitCnfdNNRwTfKMOVUMHwIe54mmPQyUgT1xnAQByHDSByLKZM6g/DmTpIdbo8fBgodvvgwz/qzBVV9FIXUbwrXGv4kWBUo18agWeejcNNf09UawapGUB4xQ7lMsgzCsxFx9NhwnXVZmpo4tAcCAuwHBgV0rZmL1nPcs1zQORBhtnsJxok2S+SlYaXooiNtT4tlECjicZ1NNGa7InIfHTvbg8duuRE7DZnzr/Ivo2kyxn9tP6cC9TqZFi2Qlgz5VZgqHyoBiWqAZ9DTJ9PQhW3Q5FmcNGRVjyHx/P2DSJiZX6zPs2xNtIC4HIlZ6mRxJZ7dTlFlNJTq+HndBdMWbwN7VGNS5AW6a9AHfGv8i3E4x4Vw5vUtj7rXMNGNZ9yneabG6mmRufv0grWg/VLYkSYnP/W1PvIGHT8nDVxcIsaEYBjCSAsjhPZtYJi8bsNAJuKUA9JhkNm0pEgpi87u3x77oNQwobMO1zr+J7qok2dhB7UyLAGbwUsrU0NiTj3GSuRkrExxkBTVoCzhwZ+In1wn4fE0Yj7zyMUJVJYZrGjHJ5GE1DPYUDEdlDUJfCny9QxnpJFk9hd5mb+Qg1mcM6d0SrYt8mHhOZ27KMCwSW6QC4BAFqnHTzBR8i779TE72C+lxjyV6lK1Ad7MHcPbI++ESgfzAdkS3LdNdU66GeF1Jra3ZlFVANRQKPh2TzGxt2XFysU08yldX6+PviW1bKtmIUS3W4pLOTjz+wD0QnAe+TQqCgLGD2qFz0xxMvoxfO01U2YleSwt5hmiT+WQtmsSWtZirHceJtIfpJ5wTnPrCNvgidDzaPFeF64aPNNR/MWpD5K4uUjDJaJkv3EwycjapEh0kiONuD/vpKWSEy3DH2V1x9b2v8K3xL2NAh2Ic2SwX15/QGke3KuBex2cRPLBMOvSxFnAsmGSZnINlEqfxKfaUY3A2oe9tgDsb4R2rsH72i7prBsNKgjwp6RxvO2HRZpEnW1IWcMySBglDABiTzvka9kttSJnSyZN09pfsQu238SE9/cbF2oYOAjxyXhcc3jALX4w6zpbAupl/xsp49TGKgyusTxO9TDsJZ1UxVJ1YVNtTbnFz3HnfRGR7BGDuo0CoRndNI00ycm5XBcwTWVrQTF4mtiRJ5ow6niEYMGCS2fX1Xn9wBNrdvxwPLRKAfndwrfFvo0OjbJzUoSFO79IYF/Rozr2OVSKK6IZRaZJ5lGKQ1RR70DDJbBRwaGRqCIbeOxU39i3CnCEZcC171XBNS3tiiJvUXUVm05J9HN09hxrSSbJ6Cr3Nfn9V7N+FWXzi9QcjWhX58MPYE3HFsS1trUM2+5qQGfOFTszVauKLFlabvY9TR0ldDVHft9Fm33XA+dj2yuV48QwvxB/1J10aMV/U989SEaFmklEkDWgTblq4HKJ8iJP2ZWJLRby29P0EHJYTwXu3n45TrhnHt8Z/gFED2uKr0X3RJI9Pj4zAZ9LSUslYuSUHPY1WhZWYq8+OJpk/+dknDM2wSg+PoOeQ+xGVgEhtJUp/+UR3TUXfT0PBJ0E9Y0sLTbWeNgFXY7elRVXA2V8dAAAUZrHrctXuXAMsiU+FHfQg4Dg45ARyvS58Pup43HVaR1vrqIMHLUKRqPzc0QR57NP44kGOpSYZmxOeMI1Px56SkmS+QvzZ5CIc8UI1Bl85BqFaf9Ka6nZEbVIvi4vlTBeI00zkC4SjMkuZv305du/7qmK25HaI1NpZajw0+iK0f3wTvt5ZJAu5Hww4p3tTfD+mX4LEBg98NEwy2gIOsSedSZl6oJECsDUEIzPxvrUTLmX0vBbIaQZUbMe+757RXdOI+UL8vEhU0p0QagSasynDJcJBMaTJT5nA1kJOOKu0nPdXkbOJw9cLVGHu1x8hGAG87QcAmfzFkH8TToeIaVf3wpTLj5Lfbx5YJaJYtEjVn2Vt2Pq5Mks4x76fCiZZcgFHq8XnysjE5BemomMDB/Dzc0D1Pt01jZKxSpGFXQrA7dD3c+W1ZV+PzY88lJBOktVT6DHJ9sY3+yKOQORQhyy2r8d8YWxj9TE6Tpa0YU7dF71qCEySZADQ8JwHAdEV01jYMC/p50YUfKjeH7bNnk2TzLzdks9xgk5gv8+GLUU3LQL++gyAAAyaeMBOOapL0LS00NoTy5QiK1aNLI7MNRY82Z4yXEo7tNZ5atK+O5ZPHYGFQzNRsGyS7phwY00yvgqgXK2noOD7g0obuR6IbdKwZ9XQ0yTbKyed2e3p6gsGY/AbpViT0QNoO4j59w92+NwkSawjNK56PmgmL7MOwbDSO/PJLWJ8BRyXI7Ft3+xsannmHSitjf3u6s+eTPq5WoBbG/jx2JPMJLPQTsyimMin3gdZhsoAQEFmYvvyPlUBh3VQUWjfRnw8eyG2lEsId7kUcB46BVUCsxZJVhF3H4M9BcJKYthMuN8fjDAxtGCgSQb1ABitPbkyUHLUaJz3gR8dLrwb5bu3JK2pN6AJ8T2E2Bdb+7I1k0wQ6LRtZb+RQXsWqkEY6rNpn42zCQufw5tnALOHt8KNj1hP361vsJLCYJkQn+F0yK4yja9nNTkz00arYZnOUBlDWwKATucCjboCwUrUzkkefqYeBKa1J572ZdpJydkmca0aQ1//BRe9tAgb9lZR30N9QTpJVk+hZZLVhiKykTVIJ8mYQZwdvQ1V0amgc5wyGXvr6WnDrO2WydUQWE3OK2gF9LwGu6qieOz2oUltYmYJQ54WMRoKPihbOWkTbnrQJp2VJBlbEBGNRND/lNMw7vtaVLS/CGjUmfle6gN8Jg5KJYPjBHXlnyLpbBnU2xDuL9exJ0EQlBYxHXvqeNlDELx5wJ6/dMeEG00kJs+7VSJLC5rgQR2g0VTrWYZgAEChDst5XyWfPW1b+hVmLNmEb9dHUNNzxCGZcDazJbIfZ7odcFHoysiBeIguEDcbKgNbUgBKe5g+yzmY9DtZhY3w1XO3Y8NNWeiy7R0gmMgmM2MB8bS0UDPJqFjOsZ+pmTK0kJPOcXsitsTDynTNfwQrbsjEa0O74KyRDzD/fn2AWaGERUMJCZPMrZ8r9bPn03mmSLI4EpUQYJxkrqdJBrP2ZQA5va/G6jInSmuimDP1f0k/rzBIQtAmsrRgHdJEdTYx+npEf7YmFJGLDvuqOO2pYgfw83MQBAGDRk2Cx5dD8Uv1Cz6TgpskSUz2JIqCPEWYhv1lrZfJVhAiqA1F5IFTenqZFXpJMlFE+MS7cf/cAJpf+iS2/L446V6NBoHJ5AIGtlc15aRk2snLy7eUYunGEiZfs74gnSSrp9BS8Elw73IIh8x0y1SCbOJ6LCg5kDWg9WrBOqXIapQx79QjZUILPZMMAALH3IQjp/ox7tMNmDE5cUx4tcnBxFWtp0xs+ShEbWsoWzf1oE06K63LbI7T99MmYP7aMkz5JQR/r1HM91FfYDbEwSgxZASWQNxaQ8lGu6VOdRGqVklde/LmA8fdgnBUwpuPj0XQX5nwY3IfWntKSGRxtS8b25PH6YDLEQvUzRLviiYZYyCiSjhLkgRJkviYmZKEZr89i79GZuGFG05At5MvZLqP+gIzW2LRIwNHIE7LJGOWAiBnk8ZXsTqbjr7yfmQXtwSqdgFLX0r4md/sbLLR0mKtSWbdbkna0ngKOIT9QphkpHWZWQpg+3Lgtw+Q6RJw9QOvQxAPzfDAjLlRwaxJFpfpoHj+qwKKf6KXKFU/G7wFUS1LxcyenJ4MvPrUA/h9hA/nOecCVXsSfl4tF0nMfL3UD2mimcjn57SnLI9TPvuIr7ePU1pj5hPDEKj1A82PBTqdzfS79QXZJgU3deKM+nxikKohz55xBw59AlsNYisOUUhoZzfUn43D0W4g5u3Owj6/hGkTRyf8jDz7LoeQNAiMS8uZ9myS1za3U94hTfUBh+YpeAhA6zjJ1RCfh5mCn4Z5gqeSk0lGuzlb9db7GNcjII5TPkN1EQA8hc1x/bl9cUxTBxpv/ixhTLgZU4Wn3fJA0CSDKklGks5crcuhWgysnoEvLvHi6ZvORaPDuzLfR32BWSDCak8+hkDcqrqotBry61SwBCIAgGOGY9C7YVz17na8dM+whB9VG7C1PE6HrDVRQWlPwXAUoUhc98iyRYymfZk4TowtLXFbCsSF1KsCYTkhw2RPf30GbFuKNsVZGP74+0z3UJ8gT7+qMW4Po9VQUgeVNIGIVUuLzCRglQLQEe0HjS05PUD/WOFm6XuPonTHRuVeTdojuaZbUgYOWTQsZ04NJei0L/O0h0nRKJa8GC/adL0YaMo/mOVgB/FT9PZV1snLLEUXK1amejAUf0GUzZ76XDoWnbodA4T8wLzENjHib+qdpbaYZBb2RCM2zstyFgTBpGuA3p5WfPsBTp/4DTq9UIXK48YfkgxnaP0UzTNGPj8n5cAzME6kpNZytpFw1mM5hyL6WnyCKOLJSc/gwwu8uK/DP8Ce1fLPlP0/NbbkZx14ZvIe0E7KrK9IJ8nqKQhtuMQfTKzUZx96GhOpgOw46TgTFYyOk9LSZV/MFTZ0lIxaIy0DEQD3TPkIi0Y1Re/sHcDKt+Xv01TrWdotmadbUmiSpYJJxlVdXPIihPKtOLNnC1z30JvM91CfkEp74mKSGSScyVqhiIQAhTisGkb3bUrDR2xM+EUXXoCiTAG+LXOA2nL5R2bOE6tWhdqxzLRwSrMo1ja7NzNkuhXHuaQ6KLMyfW6H6SQmNWory7D5gztjX/S5CchpzHQP9QmkqBGMRFGrcc5ZmS8OUZAnHdOcJ9YFHD6xcSOtGpqzCV0uxLiFWTjmhT14+ObL5G+btUcqBZw6qNYTTTKahDMPk0xzNu0lrcvZ9EH9jOfH49iHFuGijwOQBtzDfA/1CdkmQakyeZmygMNyNlkUcNTrMduTLJDOaE+CAJw8AQCwa+40bP3tJ/lHZu2RORz2RF0QpfD17EhrqO0pGpXkZFkDWnuSJOz7bhIaZQk4plMrZHc4gfke6hOM/BT12URL3GCZSGnVgWM28MYMRmdTptsBZ5wBamRPR516BS48/1yIggR8P0H+vtIeaUwuYBl4Vs1oS2bvZ4LfyJh0rg9IJ8nqKchGHwzHplvtq4y3h/nSemQ8MKXgy44TW3UxGInKo9qNYCXmCkbhcjWMWiNJ9d4sEHHnNIDQL65TMedBoKYMUAk06zknMuOhDhynf1uTbD9jdbF089+onfNE7IuT7gPcPuZ7qE+gYpJRD8Kgr9aTKT5Gemfq5BGLVkU4EpV1KrR2SuwpaYKYCtfeNxUbJhyJoUcE5Yq9JEmG7ZZQ6yjRahvGX+dxinBa6FNRtYhxBvaCIKiYziEuzZenxlyCDo+swfOrMoA+oyl+o/4iy+2UiQrJgQibhhIspvtpYdXOaTbwxgzkHMnSJpzjrOfaUHJCUIbowAkXjoAAoGbLCkh7/4mvacwukZPCLHqZlNNdaWyJdgiAHpLOpmri61EWcEI1WPf9a3CKQPvux0LIa858D/UJirSGztlEzg9aTTIGlr8iBWC8Nq/+LLm+1k7zTPQyZbTqixllndDuuTLceM0lypom9qToz3IMaaJmZhqvbWdIk9qeympCcktgAa09/fUZBvpWY80thXjmtWSd0UMNOQYdJJUGQ4nMYDUIQA1aKQDWrgF5XR0tPiK1UWZmTyfdCwgOhFd/g83z3gUoW5dZbMlPGeuoO3CiBnpjxC7dTpFK17S+4dD7iw8ReF0OmcK6pzKAfdXpyZZ2IAekweTNRNns2XRfQKFVYSXmChstYkZ05Bw5mWWxKR89DJGCtnjlpx148IazEu5BL6mVxVOtp2aSEXFLawo+j+NExn/viVfpWSn4o688C0c8uwvz/YfH2lkOcRi13oYiUfmAZ7UnJgq+QVDvdIjwxFlOLNV6dRJAGzTQML5cGZnIPieeRF0yFdi7FoFwVHbQ9YJn1tHgtEE9EqYeWSedadlfaij2VMs8BEMq24ZFP81FbRgoOvYSwJPFfP36BFEUkOXWfxZY9f2QUGFnCESMWM4MtqmGUsDR6LOonl0zezpt2N1Y/fggTD7VA+Hb8Qn34DMp4LBIAVRRnidMrcscBRxiN7sr4mdT/IyiZr4sfB539KjBb2NbY9xzHzJfv74h28T/MWJkGYFFL1ZmvpgyyfiSzkZBuFlCUI2OF9+HmjCwa9cuVK74HLB4ZmmYyGqEVAVjy4IoDZNMLtbaOJsqAvLZlJfpoksQBP3A7Ltj9zlgDBq2PXTblgmMWtlZWZlgZJJVWrVbylIAnLbEy6Bs0B5/Nz4f3aZW49RLrkWo1m+aICZr1oaiCEXoBnaYJbDVUL83Rue98vceeiwypJNk9ReCIKB5gRcAsLXELzPJ0u2WfCAbuSTFEmVqKFN+6AIRl0OE20EXiFuJuUJ1cFRxVuu1jlOWKkA2nXDmcOHnostx/Ve1eOCdn7B64UxVtT41gQgtk4wcBlRMMo5qffP8TADAthI/olFJbhGjsaeyP+Zg7or12FgqIWvAGOAQFURWw8hxUn9t1naiBkvgYKVJBkoKuhZkT3A5BHicic+X2fTBBLQ9GWg3GL9sDeB/15yJKhXzzGca2NMFIiy6RzT2JNumDXvaWuLHXkYNJeH7+/DlxW7MvvUoXHL708zXro8gwa6WpauwMukDEZ+bLniQJMkysKd+9jWoMghERFFQWjgt1mx3zWRAdAL/zAbWfmt43oGjdRkME/ToWM6xn/EknJsXxGxpZ3kNQpEoWwGnbCvw0yQAQMcrHoMvvyHz9esbzNqbmKUAGJhfNGcTb9KZPNc+zbNKa58deg/GwqevxuLrfMhe8AAQDlL5erRdA+okouWQJo+1v6ucTexJZ2JPW0v9qqnLdGfTK3degbm/bQJymwPH3cx87foII40/VlsCa0HUooBD1mI+m0ySb7TSN43PvBt7/MCe8gD+/miiYVEIGv+KXlqDjknmcYpyi6jR+2DGcjsUkI7W6jFaxDf7LSV+xXFKt1tyIcPlkBNbyQKU5i1cesikpA1bibmCkYKsRrXBIUI2w6gEuYXMCCdcdiuGHH8YnhjoQZs1U00FU/mmtNBt9vLEI5P3wE61vkVhPElWWoNSfxBhWgp+NIq8nx/A3zdm4eP/nYKjBl/OfO36CCPHidiSz+2wbAkkSCWTDIxMGgKzqa4smoF7e9yGvq9X4/Gv12LWtIkAgAyXqJsgz2ZsEWN5/mXWp8HaCUMAbNjTlpIauXWZqt1y80Lgj48hCCIG3T79kJ3Ap4VRAaKCo6XFS6kjVhtSmI7GE8T4hMbNAhzqxFtRW+DYEdjnj+Kem65CVUUFYMjKVFoiTQtDKtAWXcj91oQiCBswAZTWZfYkWYMsDzxOEVEJ2FlWq7RbUjAzp9x2IXaUVgMt+gCdz2e+dn2EkS1JkqQaKsMmBcAyBMP8bGIviIYjUXkwipa1Q4JymrOp1/XPQMxqCOxfByyZalokkTsvGAs4Locg61UaQWFmmrVb8jPJSNy0tcSPfQyty5t/+xk3PTcD/d/wY1HDKwB3JvO16yMMmWSMk5fBOAhD1nI20stkmJSZsK7p2USXeMtr3BKfPXcn1o7OQtdtbyFcuRsw8KWcDlFJ6NHaEyW5QBAE+e8w2gMUvbR0kizlKC0txZAhQ5Cbm4vc3FwMGTIEZWVlpr9z9dVXQxCEhP+OPfbYurzNeovmqs1eHgueZpJxg7R/JdOG2VtafJS0YRoxVxYKshrKdKLEjTTT7ZA1bmiqLG9+Pge3HJcN1+a56FgRE3bVr9ZziLlS04atnTI7OhWNcjLgcggIRqL4c0cs2MrJcCaxhpKw8m1g50pk5+TivLsPbbF+NYgtaSvNrPp+UD3/KWtpoWTS6K2r99yzMNMatD8at5zfB1ce6cLxZTPgRsjQ9lmnxbLoHsmBiIE9JYi52mC/qAs4DSyC+kgoiNfuuSqWnOtxNdD4SObr1ldYMTNZAhFf/Pm3kgIg+kyiAMPpZNwaSibnXhZD0lnqeztOeCOAibN3YfM7t8d+34SVGYnqTybTg1n7phrqs8toD7AzeVkUBdmeNuyrkgX8rdgvc997DqOmL0GnKVUo7X3oTuDTwshP8QcjclKY1p68lKxHqJI+5ixn9oJoohQAH5MMAJCRC5x0HyJRCS8/eS985Rt11wRH14Dim1FIAVAUW1mkBbRIIBcwDMHI/uVZDO3mwsmdinDspXcwX7e+wkiTjHXyMjgHYRgPPFOKQbSFEaiTRjbPpj5X34+C1t2AQAU6//1swu9rYdYCrgfa6ZbqaxrFZdU2OgbqA+o0SXbZZZdh5cqVmDVrFmbNmoWVK1diyJAhlr83ePBg7Ny5U/7vm2++qcvbrLdQb/bbSmsAAMXZGf/xXR28MJqApVQXWSoidBV2GjFXXiZZlQEFXxAEtvHIBa1l8ewhpS8gI1ypr1PBqKEEBiYZjfCy2eFmBYcooGlerH154fr9AIDiHHNbKt2xCfNeHhf74sRxQFa6lYXA2JbY9P3AOhbcgoIP9SAMBnuioeDT0vofeX0m3riiFQ4TtmOE4wvDZ591NDgLk8xKLNZvU8xVXa0nZ1NDC3t65Z5rMfStdTjxrQCk/nczX7M+gwQaWpYzTyBC+/yrn3mj6WQ+hgS23tp6e7XMzKSwT8GbiztGXo3ODUVcWbAKTbBPN3DIdDsgGgw/MAKt7pHHqUxzrTS0J3u6L8SeFm8ogSQBbocoC5DrIhJG/h/T0buZA5efdCTyOx7Pdd36CDkgTeoYiH1GTlEwTAprwaRJRpHQ5imIkmdOb69msSUAQLfLMWyODzd8Vo7cuQ/F7knnvTCbEKoHs+l+WlBNt7ShPyufTaU12FrqB2jipg3zULB1Nqac4cPMb79PM5xVsCrgsLCcaZlk0ahEoZcZ+74kgbowAotkNpOvJzqAU2M6tKVLP0arXd8ZPq+svh4tkwwU9mSndbk+oM4s+e+//8asWbPw6quvonfv3ujduzdeeeUVfPXVV1izZo3p73o8HjRq1Ej+r6CgwPC1gUAAFRUVCf+lEQPZ7P/cUYHN+2ObfcfGOf/xXR28sGxpYRJHJsGDRSDCwHxhrdabsV9oacMy+t6GvwMNceFrm9FiwQTT6mK1qiJrBX/QOPmgBmEHBMPGE0PtMMmgYr/M+mMnAKBTE3Nbum/EBTjxpZ24c2EmcPT1XNesr7CyJTahcfrAQRFzNUs6s9uTOfOFnk0AAEJGDjD4YQDASOfnOBxbdV+Xw9i+XM3w/CuOk/57mqqgfkuJH39sj53ZpvbkL0HO5llokCng0gvOg5BVxHXd+oqUMskoBY2VSr11AYdbk8z0bKILbK4c/wKWP3gS+jWL4AHXa/C5kt1eQRA4BmHQBw/ZFntUNQOTRg/EnmbGz6b2jbINNUwBAL9Ox5GujVgwogmefPNrrmvWVxA/LqDxJZSzyTgprAX5PMNRyXKSeV1pkpFnzpyVSZkkEEWMvPtJ5GcIuKhFKU5yrtKVRZCLYJQT+eTnn4b5kmEe1KvbS3nsqXFuBhyigGA4ih9X7wEsziYpHARmxie997oOzqZphrMaVppkbCxnuudfnfQ1sid1optJf9ak/ZB5sEaLY/BuxdE4brof275+EZnQn4DO2jXAwiSzYmZWURaD6ivqLEm2aNEi5Obm4phjjpG/d+yxxyI3NxcLFy40/d25c+eiYcOGaNeuHYYNG4Y9e/YYvvaRRx6R2zlzc3PRvPmhPb5aDXUgAgBN87zIpx1jnEYSjCivysQjlnZLUq23ammhaLf00K2lRbUJHZk5UeD2YVObq7FgSwRLV66BY9uSpJeoKzo0QVOC7pGl7ov6wDOiDdOx0oxA7GlTPOHcuUmu4Wul7Svg2PMHRAE4echtgIP+2TgUkGNQrSftl2xC46kbCw510pnBnsyDejYmGQDgiPOwIbcP/je7Cn+/dBOkaHKAxes40QT1VvessGj4bKlpnheCEKvg7qsKQBSAjo1MkmTf3YPL2gex9v6eGP7Qa1zXrM8wehZ4NMlomWRW08Og0X1hamkJGheHWFpaAEB0OuE65zmE4cTJjhVos+8H3dcZsVsN75EheFDsyYBJJtumvQIOKYZ2bmpiSxU7gR8eBACIJ98Db2FTrmvWV6j9FLU9VdqwJdAURJk0yRhYzhR6mSzr9Tz1cqx85UbceLQb9ztfi0101IBVf9bPwCSzume/ihXEE9g7HaLcNbCJwp4eH30ern11OfZHc4ET72S+Xn2HkbSGMlSGh1xAV8CJDVLST3Ooh8CwJZ2N7ZRGL0+LwWOmosgn4vhmEo7e+Y7ua7ItEsNJ98hQxLS0p7Rwf91g165daNgwub2oYcOG2LVrl+HvnXrqqXjnnXfwww8/4KmnnsIvv/yCAQMGIBAI6L7+zjvvRHl5ufzf1q36VfdDEc3yE4UjTR2nNCyhp1URikRlqi6PAKVVbz2N45TloVtLjWhUkpMApr31DIfHqdeNx3UD22PV8Cx0/v0RIJp4kCW0nVAE9gm6RxbtDU6HKFeGLDd7m+wXgiOM7CkagfDVLXj6FA/+ef4CnDRkLNf16jOILWmFsnn0/WQmWapaWhh0LwiohPtZ2qEFAfOaXo9XlgexeEM55r6a3F6YZcAeMrxHBiYZSU5UGdgpy1p6cDtFNMn1yl8f3jDLeLLfpgXAircBAHkXT4bTk5YM0MJomhzXdEvKQIRmqAx5PiJRSWZ30MCsNZ6H6YmGHfBxxvl4+7cgrhs2HOW7tyS9hHVaLAuTjFb3xWuzgENwhEkBZ9i5J+DFBfsQbXwU0HMo1/XqMxyiwipU25Oil0n/GbkcouzzWBZEKZLOiq9HX8Axm05Hw8DXQ0nv/2G7VIhm2APMeyzp58wJZxZNMgu9TKKl6BCNEyRWUNuTxyni8AZZuq8rWb8CD0z7GtNXhjDTcyaQadz1dKjC6FlQfD32gqilljOFFAAYuxAITCdRus0Z+HooaNYGE+6/G6+d7UX/fW8B+9cnvYZVz5l2uiUo2i2rbQw8qw9g3kEmTJiQJKyv/e/XX38F4hR2LSRJMn1oL774Ypx++uno3LkzzjzzTMycORNr167F11/rU8I9Hg9ycnIS/ksjBq/bgVZFPvnrLk2NHac0rKHnRKuZMGxJMjr2F42Ya6bbfJPTgxUd2cex2UuShJU97kFebhY8e1YBS19Oeo1V20niPcZe43GKVJMOrZIG8sHBWRHpoGlVNgxElr4C7FwJZOSi9ZWTua5V30Ecp6iUaAOyhhKHJlmMeWju6DMxyTiq9XpMEOaWljjEZt0xeFA/zLo8E/1L3wWq9uquS2v3LGLGVi0tLHR+I3RolC3/u5OBDECgugIXnnsWlmwLxwL65kdzX68+g7BbtCzncjuaZFYFHIahMjTrqUH2cD174mJmApiGs3DvvAh+2xnEM2MuSfo5K0OtmmGCnqU92ZhuCY0tAUBnA19v7luP49Uf1mH0zFqs6XhzTBcnjSToyQHw2BLUTGdKezLXJOPQyzQL6ikY+HqojHpwb+hq/LEngn7DHsZvP3yiuy7z5GWaoTIWtqTWI6Nti9VCbU+HFfr0/U9JQsHCB/HtFZkY3r8FLr/zea5r1XcYSWvI9sTCzKSUqZE7cCxiMh+HPVWaJJ19jNIaBMsLT8f8SBc4o0Hg6zExoTSddamZZJQDz0DB+jRLsh8KYE6SjRo1Cn///bfpf507d0ajRo2we/fupN/fu3cviouLqa/XuHFjtGzZEv/88w/rraYB4N4zO8n/NqsupmENvd56Mkkq1+uiSuQQ0E5poWG+qMVhqcfXx4Ncp0G1jadaXxOKYK+Uh0fDlwIAfn/nHqz/NbG1xartRA1Wmm+2RfBkV0fphLZFcjDvdojI1Tnct/yxFMNG34a91VHg5PuBbPq97lBChkuEM66Zo3aeSuL2VOCzniZFoA7EzdgvNGKuSGB+setU6Gmd+Swq30aoDoaxqvOt6Ny5A1BTCnx9a4LzxJokYxEzttQkC9kL6gFg3Kkd5H9rE9AEk269GB+vLMV5HwUQOH4c97XqO/QKOOFIVA5EChhkFnyUYvuEZWhmSw6VyDmLeL8sBaBjT6zJLILKqBeHDb4GDw3w4M7WfwAb5yf8nNgpTWAfiijMGyu9TFCwX1gq/3poXpCJy49pIX+tTZoBAILV6LvnTTx/agbuuaIvOp5wDte1DgXo2VNJNTmb2CRLaMXGlWSWicYfxyAMMykAp0OU/T+mImsggjnRHrhlQTbmbw5jzMhrgbCip8SccJbPJvusTJYBNUYYcWIb+d+GemR/fgqsn4PjWmXixQ/npMX6DWDE0CWxUyGDPZGOEktbotCeBef0ZVNmJufZVB2M4u7wUJSH3Bj+3Ey8fPc1CT9nLQylkklmN2462MFs1UVFRejQoYPpfxkZGejduzfKy8uxdOlS+XeXLFmC8vJy9OnTh/p6+/fvx9atW9G4cWPWW00DQP/2DfHg2Ufggh7NcHzbtNixHShTj5TNZH9V3TpOVGKu8Z+FoxKCFkwaArXjpFdtI1VHlsCerPlBtD8+2HM4er64H1dech4ioWTniYahxlKpB0Vir9omk0wQBLx93TE4p1sTTLpYR5xVknDzNefj1V/9uPa7DOCoq7iucyhAEARdeyqtjgf1mfTVxdjUrtgzbFZhpBFzBbc4snG1Xm5pibC1tFQHwgjDiS8PGw+ITlSs/AKL3n5YWTeDzSFjCR6sNZTogxojtC3OxitX9sTgIxrh4p46WqL7/sGwgl9wdTcXJt09Gp68dMLZCHqaZGXxBJkgAHlmkw41yKSshtMMlYG6uk5pT5GoJEsY6DLJOFjOiP89G5qfhVHDr4XbIQCf3QjUKoOeWOxJnaSgCkQo2S+8mmSIF0QvP6YF7jmjEzL05AnmPgJH5VaMGtgG9706k/s6hwL0psWW+vl8PdqCKIvGH1tCy3xdHmkNsmaLIU/h0iMz8ebpEeCnJ5PW9AcjiFIMaWJhOZPEecCAOS4n3GzYUmGWB5/deBxOOaIYN/Zvk/Tz0h0bsefj22Nf9B0LFB3Ofa36DqPJyyTpzKKTTSuFQXs2qZ9TWlSbrM3LcvYHw9giFePZkuPw0rIQxj71Jko3rpJ/ns2YfFOkAGgKoor0iR6qGLRs6yPqLPXdsWNHDB48GMOGDcPixYuxePFiDBs2DGeccQbat28vv65Dhw6YMWMGAKCqqgpjx47FokWLsGnTJsydOxdnnnkmioqKcO6559bVrdZ7DOl9GJ688Mik8c9psCFHJxAhjlM+Q1APhkCcSsxV5RDTalVYtcrwbPbk2l6XC8cOfx4ep4BCRzWqf3xafg1LpUXREKPbnOUKo87a6sq/lb6ZGQp8bjxzSXec0bVJ8g9/+xB3dy9Ft0YOPPLsNCBdWTQFodmr7Wl/dUx7knXACA1bhUbMFTZ1Kswo+GCuWMauX5HXCesPvw5dX6zCadffgx1rVsTWZUwWsAQPlhR8xgS2EQZ2KsbUIT2SP+9IGJgxHEUZIbx225m4eOwkW9ep78jRSTiTICTP6zKfdKiBL/5c1YTsF3CQUK2nfE5VZ2KqWlokSZLXDfS/H8hrAalsM+Y/fbX8miwGVgE5t10OQdacMoOlOLJNJhnimp8PndsF1x7fKulnWxZ9hsiCeDvY6U8Bbl/yAmnI0GO/7K9zJpm1RpOcJGBpt7RIvvF0DZDrexq3x7tvv4Um2SIw/0lg+/KENUGZfGMTGjc/T/0pOpu6Nc/DS0N64vCGyazMURcPROcnNuHbPcXA8bfYuk59h56eVjAclb8uYCjg+KhZznTtlpmMbYywSBrxJJzV1z/p1pdwRe8m+PxiL/Ln3gXEBzaxxmPVJhM4tbBq5fSnoIBzMKNOo7h33nkHXbp0waBBgzBo0CB07doVb731VsJr1qxZg/LycgCAw+HA77//jrPPPhvt2rXDVVddhXbt2mHRokXIztahj6eRxr8IPXHkEsJ8YWgPA0MgTqP7wkOZt6pc89CGq1VCxi279sHyD57A55d4kbPkSWDP3wnXo7lP4lQaCnpr79lA+wDayn9dbPbl24FvbkePJg4sf/9hHNHvrNRfo55Bb1osYZIVMtqTLDZuYk+0Yq5ZHEG4mQYGb0uLWhi8xXn3oUFeFvIzgN0fjQUkidlGWYIHdUuLXgt3XTtO2z+7H9j+K+DJBc58NkaHSsMQelIAPJV6qPZbSyYZZSDCGoSTdY2kAHjOptpQFITQ4s3OQ+TMyTjr/Rr0u2sGvn75wYT7pGI5ywUhuuc/25OcdFHDb3MQhhmqSnaj/5kX44TXq7G16VlAu1NSfo36Bl1pDe4kmXViKxSJojYUjV/bjOVsfc5pUWUxYILluZfXVE837nwe0Pl8QIpg1fNXorayLKYjG0/M05x5ssYlxfPvdIjIcJEBUMlrswwB4EHFknfx+9qNKKmRkHfqeMDJ5qscaiDPc00oIjP/yuLkAlGArmyJEWhZybQFHB/lADU1zHSifRwFVqh8s5zMDLz11QL0b5cLbF4ALJmasC5NZ09UxcSmGtJkoeVc1/Z0oKNO/+qCggK8/fbbpq9RO+BerxezZ8+uy1tKIw1u5McrHmSDRwIFv26YZJUUmmSIb6KBcJCaNkzLJGOj4CdWWA4/awxQvRRYOwv49HpI137HtNmT94ZG8wUW7BeyllMU4E4xozIaiWDf28PQMFAONO0B4fgxKV2/voLYE0mMQaVJls9oTzSCxrRirkrlP7UtLYFwkM+e3A64MjLxyaefIf/Ti5Ad/hX4dTp8Ha8A4s5nOBK11ERUqvUULS0ZSgt3IBxNat+qTgHzxQgrv/8Ix1w8ESN6uvHk5Clw5jZL+TXqGwiTucyvE9QzVOrBUq2nDkTY2C/VKjvVS2ZztZxpJiWLbfqhXefu8Kz/Bdu/nQxcPlKRGKDRy0zh2QTGyj8rfpt+C/ZWBhGOupBz1kMpX78+gthTqcrXk5POjPZEw6RUJ3zN2ppYW5cBc5YzOItCyvMfPxdOexLPvvUlxn71J0avHYRJny6Fz+NEeU2Iat1qi0SeFtkZLtSGArqBvd0hGKao2oOcuePxyzAf5ueci6PPTEtqWCHH64IoxIY0lfqDaJidofh5mW6IDCznTMokMX0Bh07jjCCsSmabsZxZ2y3J6zM9DqCgFXDKROCrW7Hvi/tQ7jgcWZ4j4vdJETepGOBU7ctk0rzF2UR71tU3pPuB0kiDEoVZMeeI6JCp/81arc9kDkTMkwaszpOV48RTXVQcnbhzIgjAmc8i7M7H+HeWYuwlJzCxAKoZqotQax+YMMnsTDwywot3XokOY2fio9UAzpkKOA7Nw4QVRLCVtFhKksRdrZeZZGZJMkoxV/UgDFrI9mQQ5PK0tMgVvPjvtjhqALJPmxD74ey7kFW+RvVa63v1M2hL+NxOmbyl1RIBgJq6EnMNBzBr8lgEI8CWaEM4jrostevXUxRlx9gMVYEwauNOspJwZjybKM8SmqEy4GhfrrKwJZ6WFjVThQRlE1+bhRXjjsD1nWuBz0aokgX0TDJafUs9ZhJBQuU/1czM9T+gT9U3+H1EFj569RnkFreg+KU0irJi9qT29WxrklGcTRku0VQWxcfYuqx+rZE+E5/Omeb5zyxAm9NGIxwFdv6zAtHVM5n0Z1mnJeux0JW1Es/NlEGSgC9vBmpK4GnaFQPHvJLa9espHKIg2wyxJ16Ws49S31VuXaaUAqAu4ATVCSizSeZsUgDE15QTUT2uwXJnD3Sbsh/nnHsOPKEqgNqWYtd2GDCxtTCzJSQwydLtlmmkkYYJiOO0ryogMyBlx4m5usjGJKOlDVO3tFgyX9iri7oTirIb4efmI/HwgiAmffoLCtZ8FLs+TUWEsbqYY0IbZkkQsEDasxozPvkYpbXA7qaDgQbtUrp+fYZiTzEbqqgNIxzviWKv1lsHuHJQT+k4selU1EHSWc9Gjx0JHH4yvvm7EqeceDx80cqE15qux+DsiKIgv08Vui0t9oZgGGLOAxjXrQwzhxZj6gez0xPDKJHtccoMWaKdVFLFPj0MDC1dlbQFHAqWpxpWlWuelhY9+/TmFKDjqPcBhwf4ZzaO2vFewmvNwDrxK8drfDaptd98qWSSVe0FPhsJAGg58AYcfd7I1K1dz1GoOZuQgumWNHqZltP4VAls2knm5JmzOpt4fD21jZ5xw71Y+NTlePc8L8TPR6Klq5x6XRZNMhjoXClr1Q2TbNq9Q/Ha+58Bogs4dyrgZHsODmUQ+Qxtkow1blJLr9RQ2RMlk4yxgON2iPA4dYbKMA6sQHwARST+Wtk3EwQ0vew5hCURoUAAhT/fH79PepkaWkKAmS2hDmOngwVpDzSNNChBmGSBcFTeiHgrIvSaZNZirqBMEiSuSxvUs1frtQdTvyF34O5L++D9870YHX0DjbC/Tphk2QZTdFBX1ZBgNYSPrsI3l3kw9equGPnYO6lb+xBAoSrpDFV7WKbboT+dzQQ+ioqgrCVhYUvyxCOOINzITvmSzjrPvyjCP2gShn0VxLx1lej6ywPU67JMEIMF+6VOxoL//SWwaDIAYPDt09CwVafUrV3PIQiCfD7tq4zZEzeTjDKpxa5JRns2mdspCWyMnHo9GD6vjToDgx/G5rIobr/rATTfNZcxEKG0JY+xLZH3WRAgay3ZRSQUxPCzeuH3dduAonbAwPtTsu6hAtmW4mdTNCqh1E/0Z1mTztb2ZHV+KGvFfi5JkNu+rGCpP8tYYIWJP9X7pmkQGh8J1JTgrtqnIEgRyqQzoz3Jg0qMz6ZUSgGsnj8DIx95HUO/qMXMzPNj+0Ya1NDaU2k1n6yG2ynKxSB/yPi5qqAV7md89mm1nMHR1QPNM1vcujNmvzcVv16fhaPLv8Zp4mLKuIleVgMWtpSwXjpJlkYaaZgh0+2UnQISiBAmGXu1nk3M1boiwkgbptUk42DT6CWiHnzzB1w8sBe84XI8654Cf02t5XrMTDKTan2VRTWVGZIEfHUrsHc13HlNcMPz30N0HpqHCC+07cslnO0soEw607IyaZMEamj1+LSwo6Okvd/Mhi3x1pTHMfpoN14/bhvOEhfSDcIwsU89KNNHk9cm30tVILJ+2Y8YduWlqAxIQO9RQIfTU7LuoQTZnqoTAxFmTbL481YbUirceqgrTTKrkfM8LS2mRaGe12LCyoaYuymMstnPI+Ivs1yPdXCFmS3JZ5PbfKAICyaNOhsv/bgZA970o/r0qelplowo0thSZW1YtoU8xknmmRRFF6sJlARel0Nug6cOwoPmCTg7LOcke3J6gAtfR1D04bWvfkGHxfdR6c9aJR+00JuMTaD4eikq4NSUod2y+3DPCR6c27MpBt/6QmrWPYSgLYjyDjxDwmAZ+/aUpWJ+0cCKXOBxivIkadqiELm21+VImkJ95BnXIWtATOP4UdcryK3ZRr0ebes+saWqYDiJ/RaNSskyOocY0kmyNNJggDYQ4WaSUYwFpxVzhbrdknaztzhEeAIRUzFjpwe4YDpCDh86h/+G+6vbLddjZX+ZMV8q4+wEQi22i1fuvgYvTHsLEkTggulAVoOUrHsoQRuI8OqRgTIQl4N6SuaLPxihammhcSS4psUGjKvrA64Yg+ceuQcep4BHXK8guvsv07XCkSgCcQ0PH2OFUS8QoR0oQgMpWIPLLjgLr/5ajdHzs4CTJ9he81AEaWnZJyed+Zgv6v2Wxp5SrUmmFHDMbakmFDFN4qmhiHnr3Ksg4On3fsB5XbLxxUUu3FT5FBA1Z+kwM8kobCknBbYExHTIrs75Gae0ceDp8SPga9UjNeseQtBqkpECTpbHqdtmZQYaJhntND5RFJDpYmMlW2v8cbCczeypsA1m5V6OSYuD+Panlaj+9X3L9ViZZDmyjpJxASc7Fb6eJAGf3wixfDPuPqstPp67CoLj0EwW2IHi68XsiHfgGRh9PdoOHNripRW5QBAE+f5o16yyShD3H49gk174fnUF9r4+EtVle83vkWFAE1TvkSQp+5B6LXLEpip2OtiQTpKlkQYDtDpKvL31spiryUZKDnuPU4TbQoAxk9HRsarW+2RdJhbhfgtHp7ANFnWegD7Tq/HYu/Pw7qM3m64n98JTO07WzJdUBPXrfpqBUY+9gRu/qcVX3vOBln1sr3koQralypgN7eecHgZa3RdqTbKYLUXikx2t4A9FQHJp/1rSGQD6jcNv7m7IRC2WP3UxSndsNL1HAuoKo9y+rGdP8aQzw/h2XUgShG/G4ukBUXRv4sbEVz4HHIemM2YXSYF9PPnMmiRTV8NNdV+o9TJTG9SrzyxaNo1VIJLXuCUef/MrNMnz4LjwUmD+E6br8TLJ9G0phUF96Sbgk+vQwCdg5lMjcMVdU+yveQiCMF/8wQj8wTC3LYGVSUbhnzAPwqhDTTKjs+Ssm5/Apf074tOLvLh4z9PA/vWm6/kZ2SqKr5ecdK6Qk8727WnOsyMQ+etLwOEGLnwDoq/Q9pqHIpSzKWZHtnw9iudfOZushjSxdeDQnHmsvp5lx4zDifJBz2H41wEs3+rH0yMGAybFWz+jTI3H6ZAF/rX2RM6mmAbboZkuOjT/6jTS4IRagLI2FJGDcu7pliFjgUfaaggSxJZZKyKpZL5YOzrhjmejuE0nFPsEtFj/FrDzN8PXVlk4YlqY9danLElWugltFo3FQwM8uODo5jhj7Ev21juEQQKR/dUBW5MtQTmRkrY9TJ3kZdGAEIUYZV7//tiSztGoZE2bdzgxtcHduOVHB67/YDsuP7U3IqGg7kuJ4+QUBVnTwwo5/waTbMEkYOXb6NPCjWVzv0azTr3srXcIQ67Wy7ovsc+N9WwSBEHVcqz/vAbCEQQjcSkAWk0yxoSW0boepwin3NJCGYhQTLwTm/XA+PBQAMCK9x7E7FcnGr6Wl0kWjETl6aMExL7s2lLZzs347p5BgH8/0KgrhNMet7XeoQyfWwkc91cF5fYwVlsCJZOMdhofElrEUiutwaQ/q53Gp4OON72DZu06wROpAt6/HAhUmdwjW0FU8fWMCzh27emjSbfj5Ftfwrkf1CB08oNA06NsrXcoo1Az3fJA6xpIlZYzOJLOVSYdAwRFLTui8zk34NZjPRjX9h9gkXHxo5pRpgYJes6J96z281IlBXCwIZ0kSyMNBhSpBChJNcQpCsytEiSolySgNqy/QdMG9UgIRChbWoLmhwi5P5aWFitdJsSdoH+OexDTb+yN45tGgA8uB6r3677WtEVGB2a6LyRxZqtaX1MGvHMRBP8+jD2vFz6c92eaem8DxHEKRSRU1IZtVRe9FGyVSkrHySEKcrKLRqtC7TgZORKsjpOfduJdZgGWtbkBWW4BJzYsgzjvEdN7pJ14BDX7Rbdab799eebUe7D103hr5amPQ2h7MvdaaSSKI0uSJLcxs7KckTAIRv95VesM+Sz2Zx8Fy1MNqpYWRnuimXjn8zjwcaQf7t3cA32mV+OiUfdi7eLZuq9lHVyR5XbKWlJae6pIQVAfqvXjgpN7YvAL/2DaX5nAZR8ALi/3eoc6BEFImGZOEs8FjHpkSJhkniImGUM7V0wKIGK6dhZjEhsw158l8HozMSJ4CyqdhSjf+heeuq4fouHka0SikjzhlVkvM1BHBZxtvwJLX4bHAbTq0BWu3sP510ojSZOM/J8n6UwjVUMSpanWy6ym8CFZk85+C8IC4vvR3jZnI3vA9bEC0Xf3AOt/NF2PZUiZouec+rPpYEc6SZZGGgwoVFXrt5b4AQBN8rzMWfYMp0qA1aCKweI4sba0VKrEgnXXszGlxTwQcUISXXgq+3YgvxVQtgVbJp+DmoqS5PWYNcniG30gnJTYq7DpOAVrqvHsdccjvGc1kN0EuOwDCBnZXGulEUOGyyE7MftU9tQ0nz248zG0W9IlnekDEaugHhy6L2p2mtnEuyyPE9uK+2L68xNxx3EeCAsmAcvfSnod6xAMJOgoJd6zeqAIrz0t/nw6zh09Ece8Wo1Nh10GHD2Ma500FMgs5+og9lYFUBuKQhSARrkZzGv5LOypSrXXa8WGtchksCVQVuuzGJmZNBO6yATKd4tuRM9WeejTXESTebcClbt11iMsT7rnXxQF+Z619iRrkvG2LksS8M1YtM4oh9cloMewZ4GcJnxrpSFDPVhmayn/2UQzQY9WkwyMSWe172bNJKOX1vBT3K/P48Qe5GNa4/vQ93U/xr69HBOuHpD0uhp1QYh68rIxk0wJ7DntqXQz8N4luLAD8OvEQZj08SK+ddKQoRRwgpAkCdtKawAAzfI4fD0LqRpJkhg0ydiefZm4YFIYYk06Kwlna9bbG5FBKG17PqRoBE+MOhd/zP086XWmeoEGUPSctWdTCsgFBznSSbI00mCAXF2sDmJLPKhvWZjJvI6YwFbR30xZHKdMViaZxdo8LS00NF9yvV3BDOCyD7B8fyaOmfgzLj/5yKRWMT8FM00N9YGoDcgq7TBfohFce0pX3PLun7j001CsSp8OQlKCIlUgIttTAbs90UykZGlfVjTOrJ99muQba3VRPcbbLAFP1t3Q4jyg720AgNBnN2Hl51M167FV6pGgSaavUwHKvSkJu/9C40X3om2BiJ7tGqP55c+yr5FGEoqyFb3MLftjttQ412upZ6kHWePS6GxiKuCkXvfFx5l09pkEDhkuEaIAhB0ZmPbFT/hixBHIqtkOvHtRUqsYK5MMJvZkt4CDHx6E67d38NKZmVj11avoNvAivnXSSECRSg5g835yNrFPCaWSAmDSJKN/9sm+7xAFQ00hVluKRiWZ6WwW2JPC0Gp3Z9w2chiaZAs4L2s5sPSVhNf5VQUhWt0jM00yO4Mwdq37DSVTzwCq9wLFXdD51o/hcLGzndJIRAOVLZVUB2U/qDmXr2ce69SEIrLYvCWTzMPGJLPSckZCgZVtuqXlJM4MJwABa3pNxLNrm+COWeU49ZwLULFtTcLrrPQC9WAkrZFKLeeDFekkWRppMECmDVcG5ECkBcdGDwqxcVrxSagcEmZNMoPNj6ulhaIiQq5XHYwgWtgO1Sfcg5IaCes270Dpx2MSBClZmWRqAUqjwJ55s49Ggc9H4dLmO5HjEXDtLXcDjbuyrZGGIdQ0fGJPPElnWYA1BWKu6vVotCpYmC/0rEy6BHGCduCAe1DV9nyc8W4ljr9oJJbPVqaKpZJJRmzL53bASalvJmPfP8CbZ6NlRiV+Hn8c3v12WToISRFI+/K+qoCtAg7UZ5MRy5lDCsDMNtWothpYwZN0Dlrbk/rMcxQeBtdVnwKZhcDOlfjxgdMRDtQmrUerSQYTe7JTrf/hmRsgzX8ydv+nP4k2A4cyr5GGPhR7CsosZztBPdU0PhZ7YpECMGmzZ9WfraEYVIMEXy+Mq+59Eas/uB/dGjmAmXcAq7+RX6dmvtB2ZBgxX9QsIlZm5t5Nq3FS32PR/9m/sEeMdQvAk+4WSAUIk6w2FMXqXZUAgEY5Gcgw0HA1gxWTjPh5gmAdO6htyUgbWg0rLWck+I5s5ALae60KO3DlE1/jiMYZGNfHiZwvhwK1FfLrWGVqQFHAOVQnWyKdJEsjDTY0zYu1rmze78dmm4GIVRVDFnNlYL7QBuGVDIF9Kisi6p/5QxH0vXAkvpl6H366xoeiNW8BcYdfvR5LYG+kS8YViEgS8M1twKp3cVq7DGz68S0Mvm48/e+nYYkmcbr9ii2l8jPJF4jQM8lY2pdpKoxUQT0jrV92nCyqgQnJAkGA+9znEPHkQ5Ik7PloTCwpxUnBN7YlknBmc5w2rJiP+feeDFTvARp1Qc6wz5FV2IhpjTSMQWxpb2UAf+2IOc3cZ5OFPSnMF+tngMY2E9amSBDzTxAztyf5zKsNA4VtgEs/wLO/RDHg4fm4dvCRsqYSTfumFkYaf6RljLWA89Toc3HSrS/jllkBSAMfBHpdx/T7aZiD2NPGfdW2fD0fjRQAx9nEIgVgtlezJ5yVJISZFIDPnZgUzh58N3DUlYAUxd8vXIn5H0xOuEcm5ouBhpI/qGjoMtlTTSn2v34ZSqpqsb9WRNUZU4HcpvS/n4YpMt1O5Mf1/Oat3QvYIBd4XXF7Cunbk7oDxyrp6nMnxiNWoNEkYz2baM+SLJVsQUGzNli2fBVuHNAc2P0H8P5lQNCfsB6fPekXRNNMsjTSSIMK7RvlQBCAXRW1WLm1FEgBk8xKk4xquqVMmbfe6CVJotJRYm5poQjsPU5R1rAhf99J101A7tlxwfEfJ2LDB+MTrsvSIiZrVSQJULJR8COhIO6/og/2znsVgACcOxX5vS+nvo806NCpcQ4AYNafuwAAxTkezuqidSDCMvUqkyFBrAT1qasu+ikSb9BxyNyZWfjkh2VYMPZIDG5WDbx+BrB/vVx1tUoSqGFkSzzTw7b99hP6n3QyTnllC+aWNgGGfAZ486l/Pw1rFPjcaJQTK+LM/itmTzwJZ6ief8NqPQfzhXaCGM2UZB+FzpMaVZTT85ICnOa9cNipN8MhAA0DmyB8dRMQjVLdoxY5Fkwypmr9z8/Bt3EWAKBhl/4QjruJ/nfToEKnJrGzafGG/Sjzxz4jHl8vU9VuacRWqWRgOTNJAVA8p+pnXpJo2DR0zK8kWxIE4PSnsS77OJw4vQSnDrkJi2e8TNUKrYXVND718B3rP2gf8Na56ID1mD+iGebM/BKtj+pHfS9p0IHY08w/dgIAWtglF1gwyWjOJtJib7aeGjTkAnZpDWv/EQmF1ti6nkbtgMs+BNzZCKybjwkXdYe/fD8Xk0xhZhp14KSZZGmkkQYFsjxOHFYY06XYWhITn2zBoVMBCrYKkyYZA5OsNhSVe/brYrM3u19BEPQrob1vBE66F1+uCaHj5Q/j/qGDUBvid55sMcnCAYw5+0hMeHcxznivBpHTnwG6pnVe6gLEcSK2xKP5goQJYvrPaoKYK5U4Mj2TjKaNk7W6WEWpIZalY6O5xS3Qffz3QMNOQNUubJ40CLuWz4qvx07BT6ousrYub1+O4q+vRJciCS0KPGg/6n3AV0R9H2nQ44gU2ZP8/FtU65kKOEG6IFwJcmjYL5QsZ8qklt6Zd/aoiVj20ZN4fJAXwsp3gM9vRCAQm87GZ082pAAkCfj2HuC7ezC8pxvLXxyO8a/MpL6HNOhBCjhEZLwoy83EHCTwqZ6RGgN7YmlfzmJIOtNIAZCfRSXIA1nMQJsg1i0MOZxodv276N66AdoXCmj7673wbPkJ4NRQCkaiqFW9p+ppfDStm5t++xnL7+8L7FgBeAvQdsw3aN97MPV9pEEPYk/K2WSTXGAxVIaGlRmLR8zXU4NuSFPqZWoM123SDbjiE1z5RQj3f74WQ07qjEhteXy91BVw0kyyNNJIgxoksCfgrYhkWjg7LGKuLBszOUQEAcg0qbbxb/Z0gX3Sun1vwx/Z/RCMAP/8OhcPOqdDRJTLeTLSJCO0YkMEKoF3LsDI1lvRNEfE7WNuhaPX1dTXT4MNxHEi4K4uWmgoJYi5UgX29AliOp0Ktgl/fsrqumGywFcEXPkFSjLbYvDLmzDh1uFos2MmH5MsSaciznyh0XxZ/yPwxplwBUrw4ehjsGDxCjRueyT1PaTBBu3ZVGeaZCyTYuNrSZJxkkANmiCcdVos7QQxI+3AI8+/DcJ5rwCCiOjKd9BpznB4gqWc9qQJRAJ0TLJQbQ0eGXIs/PPigy4GPoDuw18EKJIBabCjWb43ITjk7RjIcInKJHOL9mU6ljOLcL+1nap9QPIs0qzps7KlDP0zNCM7DzMW/I05956CQlcNus67DmeJPzMlnH1up/yeqtkvLKzMtYtm4ri+J+KUKWuwNtAQuPZboFFn6ntIgw2pipusZGoqGc4mcNqTz+RZZWmHBrNwv859tjgGo+97BoWZIkZ3rsD/dt6GBihl1J81Z5JxT16uB0gnydJIgxHqwL5xbgbfhDcKtgoL80Vm0rBUF91OiKLJ5DyGlpZwJIpAOJrwe0Yw3OwB3PnyTHz62AhMO9uLK10/4DX3E/AEyy2vT6BXrQ9HovJBZMYkC+z8G5h2CrBxPto3ycU/C7/GBWOeoL52GuxokO1JiPEOb5jFtU6mBVuFBCGiAKo2DB+PPVFWF6nYNJQ6FaYt0VkNgMs+QGFeDrLdwMuF7+C48q8ThmOYgdhKVTCc0CZEQ8GXolG8cMflmHj96UCwCmh9IjKvn4kGrTpSXTsNPqjPJqco2A5EDIP6eDBNk3BW25sV+0WSpDoR7qfVt5ST2bU663a9ELjkXdz1YwQvfLcBWR/fgGz/NqrrI0HjT1+TzLSAU70f1wxoi7veWYrLPqmFdNYU4Libqa+dBjsEQUDrBsp5xHs2qdkqKRmEQaFxxrKuKCrsfhp2Gq0tqVnO2jPPm1OA/GEzgCPOhSiFcOL6Z4BPRidNODe7Z+IXq9kv1CznNbPQePYwNPZFUZybAd9V7wNFbamunQYfOjXOTfia29ezkqmRmWR0iR0fQ5xDw1JjZTlXUZILyLqVOvd5/Pk3YOOKeTjxiMZoFV6Pzzz3Im/fcqrrw0yTLM0kSyfJ0kiDFeqKyPjT+YO+VNKGfaoKuFUQzkqXp9ns1X+DdSBivNkDwLl3vIDS019BreRCP3EV7j67PRZ++orua7UggUiZiv2iDqSMNvsvXpyA1h264LfffwN8DYGrvoT3iDTt/t9A79aF8r8v7dWCaw1iS1EJcrJWDRYxV6hZnjTC/QyOE21LixKImNsoaUkzcvAKmrXBd8vW45VRJ6JNbhRnbH4U+GwkAhX7LO8hN25LkqRfrTd0nILVWPjYBbjxiXdxzw81WOrpF9POSE8Kq3Mc0UQJRG4+qS33VCpaJhlNAUcUBct2aAJaxifv5GVr4f54YtjozGt/Ks4c8xwKM0WM6Smh8QenAH9/SXUP5LMoS2I5W0gBbF8GvHwiRnYsRb5XwHW33AXhqCuorpmGPXRrptjTjf0P517HbHhFNKqSAqAa0kQ/CIO+2MKeKKAN6g3PPKcHOH86ZnnPwmWf1OCj75bhrZHHAJW7Le8BAHLjQvBELw4UrcvhQC2kHx4G3rsY2ajEzP/1w/ylv6Nphx5U10yDH60bKK3/g49olNRFQAtLcgFjYodnWqxZ0jnbhASgB1792aTrtjseuPY7bBGawFm9F5efdxaeG3ORPGzGDMTXU9sS1EyydJIsjTTSoEXfw4twxbEt8PgFXXFG1ybc6yjsLyvasHWgo3ZI9JIEatA6TiwtLeQ1LocAt9N8W6Fp49zb7BScE3wQU/704aHv96H/Rddj19sjY+2QJijwJW/2pFKf4RLhcmjuLVAJfDEa0599CDsqInh8RTZwwzyg6VFWf3IaKcLYU9rjvKOaYv7t/WXHlxWJbJXk56qKUYCUPKMsTDLTlha3Q2bMpbKlhaaN05tTgO+7PoXHQpcgChFzZryJti0b48sXJ5iu7XaK8t9UShuIbFkCTD0exwXm4OZj3Hh85Fno9b/PYgFRGnWOFoWZuOXktrhtYDuMGlA3QT3USWfGQMSKqULL+DRqizQCeZ3Pst3S+sw78tSr0GrYZHTo3AlioAL44Ar8+dTZ2PnPKtO1831uAEBJtcKWkSTJ0J6C/ir8Of1m4NWBQPkW9DmyHTb/vgRnDDe32zRSh2uPb41zuzfF5zceh5aFfPp+SNDMTH7+1c8wi7QGzdlE024JDevLCrRBvbqN03BdUcT6o+/DiaefibM7eDCk8XpgSi9g2etA1NyPLciM2VOpyp7MEs5rFn+L4zsW45WnH4x94+jr0eDGWSho1sb0OmmkBi6HiEfP64Khx7XCs5d2oypW6sFSpoahAweMSedqisnL7AWcuP6sVSKbhu1Z0ApXOR7F7cuKsaksitfe+wTR104H9q41XTs/M/lsAquWcz1FOkmWRhqMcDpETDynCy7q2dzWOkqLmIE4cnyDotE98dI4JOTnlCwAlpYW4jjR9MH7KOjN1cEwVkst8FW353Hlie0w5lg3Gq17B3iuO7BoCiK1Vbq/Rzb7/arNvkJHpyISCqFm8RvAlGOA5W/ipTMycNfFvTH9h7VADn/iMw12HNUiH5Mu6sbdGgbNNCu9QIQEorQaQsRxqmKp1psE4AkCsVTMzHi1nqG6aMYgrQ5F8WLkLHzX6xU8vlTE1rIwZr/2MPDm2cDWpYa/VyAH9gH5e0SjTG1PO9auxKjTu6JkyiCgZAOQ0xTPvPstbp/yOQQx7Wb8m7jl5HYYfVJb7iAEFC1dij1RJskoAxG1LZndPwvLORyJykwWWkaN2ZnnD4SxN6MFLgvdA+m4WxCMiLjk8a/QrnN3zHniasBfovt7hXFbKvUrZ1NtKIpwnDonByKShK3z3kb3Ng3Rf/Tz2FMVAo44Fxj2I7Lb9LL8e9NIHVoUZuLpi7vhyOZ5ttbJNPF5iC25HAI8TuvzKZPBL6MZpgQLCQyjNa3OpsQ2ThNfLxDG6o43YOD9H8PRtDtQW47w5zfhgp4N8cWL90EySJbJSWeVPZGCaELCubYCmPMAZj5wPpZsrMAD80MInPECcNoTgNNt+femkTpccnQL3HtmJ6rn3AhWrGTms4kyqRWNKlIANJPMqQeeyUln9qEyetgbysC8o5/GI6POxyvn5sO5fTHwYm8EPx2NrX8s0f2dAp2zCaxDZeop0t5rGmn8R/BZjPJWqK7WWfyEJIFF4FBNmdBiEy+nHzusCLoa3yc5sNy5xXjjxzV4+PWZQEFroHovNn8wDi2K83D7BcdC2vVHgsZSYZZedVG10Qer8d2U23Fky1zcM+Z6oGI7kNcSxTd+g4feXwh3Zrol7GCFmY4Sa0XMJ7ebMYi52tEP0+D/7Z17fFx1nfc/Z+6ZSSZtmjZJ29CWllKgXEorpUXkWiiwuFzk8oAgCu4iD7q4iyjyCGUfhUdWkF1A0V0EfASXR6XKqtxU7qAC2yK0WKAU2tKmbS5NJplkruf5Y+Z35sxk5sz5/c5MM5n5vF+vvMykMye/4Pme3+97+3yjhnNjv6XFShRdBOKHO4/G2j9uwT9fehxuObkZeP9Z4L5VWH/j0bjvxiuwt+fDvM/lql/GV5KFAx5g91+B334Fnz1jOe757Zv41vNjwOEXAV94Gdj/uLJ/J6lNyokZS9uTTUfETqYeklXO5gmdKtMtx60xa0s+XwDaqpux5+z/h2AwBLemY2nfo8B3FwO/uhp73/xdXquLsKUBky2JBI5LA0LuNPDWo8D9p2Hm76+CKx2DrmnYtPg64LwHgCZngRoyceTExksncOzvTfYnL9sNGIR8Mmc9e049LMT7zYj/JqOtBwBX/B449VY8tNGNX6zrw+XX/m+M3HkU8Mo949owrSrJwgEvtm14Fa/fe1UmsfrC7fjSxzR89YwFeOXll+FfdnHZtZPaJFf5Vfy8Izt9226VczSRMlwNq8nL8gPPxCRz6/W22LAloempaS5cfstDWHbLfwMLVwPpJB64/z8w/4ij8bWzFgPv/g5I5uxG7E3ReCp/WqxIiPo9QN9mW39PvdG44UFCJhirEnxIBsmQfdiPJlL2s/UOe+DN2NV8QV5pf+m2M7EBio1DW3Ai8D//DLzxU9xz7T9hx9AwNrzxOrR7jwFau4H9j8dP1o9irG0B5qanIBnRgcgu7ProQ/z3Y7/GmXvfxyXh3cC/vAX3O4PYsHMUe4Zc+Of//b8Q/MQXAW+g7LpJbZO5V+JFDzuy2go5jT87LS1iKISdoHPMliNidxqfaOPU9cxnSr3fbJ/BKe34xoPPAgMfAs//C/DGT/Fvv/pv3L/+T/jLUz/Bv/7dCcCcFUi0LULH9nfQNtSMkYFuYCgFRPuQeuEuHPDmn7Ey6AeefB8AcMURbgzrrfjUdd8Bzr6i7N9HapuQzUoy2/Zks4rSrg6nTEuLCDh7XBp8he32BdjRkzGmOGf3ullHrsIfN+/Fu0/+O6Z88GNg11vAuv+LT3/lB/jTjjT+7z+cjNVnnImupgWYm3gP0V1+DH20H8JBLxIfbMJZsV9j3dO/xFE/6cefPueHS9Pg9vrxyDcvwsy/uR5TuuaU/RtJbRO0sKeyGo8FSGnF2gxo2Q0UoMjZrPx1rfe8PHtye4AVV+GM20/G1zyfw8zhv6B56F3gya9Df+J6nP0rH+bPn49vXPN3OEQP48/aCAZ2BvDRXwcxJaBh1q4/4kvu19D+2B8x90cbsaTThVc/H4LWvhCuVTfj/6w5ndNgJzmhMglM+YSovaCzuE9dWka6peT1JGwJeTbqfM8bS6SNQF7I7wZ8+wEXPQJ8+ApefPo8JFIfoWvsPeChcwFfC/ral+OHr4/iYys/gYPdU7An1YzBPR9hYGg33tv43zgpuhHHBLag+8F/AoZ7gK9sBkLTSv7+eoRBMkImCKuHaSKVNipD7B+e3OgdtpOtl3so28ouSh2cyvfWR4sF3dxe4MhLccvj5+MT938bbbtfAlxvAIPbEP3zj/GZWyNI68Dg11oQHtSA24FvPzmG7/4xjpuO8+Gozkwg7IQlC/DvXYfgU/9wC4Jdc8uul0wORNB5tIgjMiR5cJIZC16NoLNd4X5N09Ds8yASS2bsqUQh5EixoNvUOcDf3g2c+A0s6f8C/tjzOE5b4AK2vgxsfRkbe1L49x+MYL9WDWfNaAGeznxsw+MjeGV7Cn+a2YT5h/mBhafh3Is/h0/NP5GtlXWC3ZYWaXuqUAJHZm8yC42Xa0EN2aioMWzTZEuay4WFp/09oP8dsPUVDL3w73h5+4MYGNUxb/Al4Kk/ogPAp9+N4/P/NYYrf+fBw+cGMRvAd1p0tL8XwWAMeHL7NJx28f8Eln0WB7Ptv27IVZKVbre0nQwt04Fgxm7XgIr+bKiMcD9s7nnF7Kl9zkLc+p8vAmODwJs/B9b9BO+++Sp+9UYfPG/24ZaD3sblHg2X+4HPfXsUs9cncNdpAVx9lA/wArunZoIF4dapiJz+rwgvOz9zfiSTHrGXZCq79HHPdNkETtBnL+hs3pus9pHm7PXiqTTiybSlRnMqrRt+nt1BGNZVzpl/0zQgYG5pnbMCP35pO679wy/Q3fs88OFvgJE9eP2FJ/D1n0Rx2K+exBtXNgNeAD8Elv1wGK/vTOMPlwZxwjwPMAzA0wTs3gDM+4TlOusNBskImSCsHBHzKF674sjlpmUKhsfsBclUDk62RphLtLQUC7p5/AH8zZU3ZV7Eo8CHL2Hv60/gtMN/is07+6F7mwCMQYeGcJMXC2do2Omdjd/MOBtnnH0JtI7FuILOfN1hnvBaiKy2giGOLDXxqMwhR6KlxY7OmXFdfyZINjxmwxEptsaWDnzxzkfxxTsBvX8L8P4zwI712P70s+hq2YiZIvDm8gD+MJYubEZgmgfBky4FPvMPQKidug11RrmJXzmdR7nql3Lty3YrX+QCzvJ7Uzm9TJictTw0DZizEuE5K7HrU/fgz79+EAunDQK734K+ZxN2jW0CMIZYCoDbj5FAB/48NBWXnevD+edegKPOuATws6q53ghaVFIOSVaSBU2tm+m0DpertMNuZ6gMpBOi8vqzdhz7okGCQCvwscuBj12Ojo/ew487v4tt7/wF/v2bMbJ7Mzyj/fC7R+HWgA+HPXjfuwBvjs3AnGNOxc7PfwIdCzmAqd4IZe8pPTs1tangvpFNiDZbBLDNiD2hvJZz/hApn4Xunfl3ViLJaiRDve6iz4XDTjwXwLlA+rtAzxto/a8f439seQwtGMZezY9wegguTUc44Eb3FBf+PNaN7ViKSy65HNhvZUN23DBIRsgEEbIIaomS4Save/xExhIYD/tywv02dV/kSvAtDjrj1mkju2i3fdMXBA5YhZkHrMKvL7wdI7EkDrnpSbiQxls3r8aaNV64/msjfvTSFsybNx9ndC0quz4yObEKOktXktkQHIbQgDAcEetry9iT1CAMGxMuo4Z9Wl9Pa5sHtM0DAJzxSeB/nfsebnvir7ju4Jm47fwjkU7reHzwcSTTOo6++CQg1HiHpkbA6v7Pn8go19JSNoEjOY3Pji0ZlWQ2bMnOlL+oTQ0ZbyCIYz71BeO1BuCxod9h7hHDWPPF44DuqXj0jx/iG798C6ec2oGV5ywruz4yObFq6ZLVUDLbRjSRsrQV+wlReWkNW/ZkR5PM5nm0ddYCXHLDPcbrF97aiSt/8jqWXtaC5GsZ/ctVdzyHdyPDeGjxcnQsaC+7PjL5yJtkHk+OC5JJV5JJTl4ud5963C74PS7EkmkMx5KG3lcxRBLK7dLgt6g4g829ye5QDbhcwMwlWP73S/Dw338XAHDhD1/Bn97vxZ0XLMEf1szGy+/14qL/+BMWhJtxyfzG1ZetagL4W9/6FlauXIlgMIgpU+yJjuq6jjVr1mDmzJloamrC8ccfjw0bNlRzmYRMCFYtXcaDvsl+HDtos1JFNlsvI+Zqx6m39bCXaN80E/S54fO4kIYLfVmB5L7sZL72Zk4yqmdCFmXzsvYU8tlzGmLJ3HS6cgFdO3pHArsC5rCdYbQ/WMNMRhxZQ1808/mhsYTx97ZZHP7I5MasyVc4NXU0kULKmMgoWeVsc2+ym8ARLS1W2HXCYVMKwKiksZEQKmRq0Afd5cVAdgpf33B2b2rxS1+LTB6sJlLKaij5PS6IIhG7lZm2E6I2WjiFY29LuF+mMlPSnqZm96b+sdzzSUw1b2+mPdUrLpdmmcRR1SQrtzfZlQKA+b63WZ1mSwoge81ESkcsWXx/ijrYm9pCPuhwYSCa+e/Xa9hSY5/zqhoki8fjOO+88/CFL3zBxrsz3Hbbbbjjjjtw991349VXX0VnZydWrVqFSCRSzaUSss8RE1KKtUnJVr5AokVs2Gb7id0HPfKc+vIPZzul/aoPe03TclOPsuOM+4Yz/zutwR/29Y6RtS5iT6rT+KKJTEtLKcz3cKhMAMpOxZdAxhEXf3cpOzXrXtixTzPGdMusLfVmbSkc8FhqbZDJjXj2m+8dgQg4u03Oit3rld2b7LaH+fJbWqyQsSU7E8SiEpU0hYjAcuHe1M6Ac10j7udI0b1JTpNM0zTLLgQz8hp/EpWZEvqzVtfNSQFIJnCMycsZG0qm0oZd8axX39iyJ7sJUbsBrQq37cPkN9m6Zt6eV9yeVIsLYASdgf5skEwkcKY1eMC5qqfcm2++GV/+8pdx6KGH2nq/ruu48847ccMNN+Ccc87B4sWL8eCDDyIajeLhhx+u5lIJ2eeIA7kIiJkZGpUrwUfeaOQyGRG7Y8EVdF9CNh7OMpUvKo7I1ILDU6942Ica+2Ff71jZk/x0y4wt6TowViJrh4JMoJU2DBQn8lVC98Uc5FB1RAYKbImZ+vom6HPDnb2fCx0RMRa+JWAtYJx3PZsBYrtOvcftMiaMla+clqkky9loYQWdcT1RSaPiiJTam2hPdU24KRMAixQ968lpksHmXqLrumEb5a4toz8blXHsZXSUJBOiYm8aHE0gmUqjPxqHrmdkAYXDT+oTYU+FZ71EKm0EXe1La9hM4NhsXYZE0FmmitK855WyJ9syNUWYVnDWYwInQ02lgrds2YKenh6ccsopxs/8fj+OO+44vPzyy0U/E4vFMDQ0lPdFyGRAPOij8RSSqfyWEdnKF0hlL+TEXK3KewV2dc7y12mVXXRSNpz5bzZQUP3C7GJ9IzLxxRwRWeH+Jq/bmBRv5YTbrXyByakuF8SOJ9OIZ58HIYmgcynhfnFwcmkoq3tRiJFdHGFVZiOhaZphK4X2JKuhBImJfDIDYGRbWuzsJWJvSqZ1xEq0cUathPvLYFQ5054airBhS6UrX6QSojaCWmOJNEQRdCWnxUrpz/qs9yaUmG5ph9Ymr7FH7x1NGLbUFvQZAX5Sn7SUsCfzfWbXnkI2A8QyPo7doLPMfocyFXRwWkk2rmuACRzUWpCsp6cHANDR0ZH3846ODuPfCrn11lvR2tpqfHV3d++TtRLiFPNDvPBwonJwsqOnApkSfBvlvYKolHB/5j3FghnG73PwsG/LVoz1jySQTuvoz2qSTW/wh329Y1SSjTpvXza3tEQt7v1qZBfNgQQ7jni54PiIyQmxW/kjENnFobEkEqm0oe/Hqsz6R9jT4Gjh3pS1pTKDKszYHVohE3S2nRQyglr2qzJhETBQ1feDuUVMOCK0p4bAuspZTIqVsCcb1S/m+zfotd5HZKqcpfRnRftyiUC2ruvW02It8LhdaM0mmgdG4gw4NxDiHCeqMAXCbwp4XbYHntlut7Sp5QyJoLOsn1MuMZQb+KSmSYa8rgHaE1SCZGvWrIGmaZZfr732mqNFFR7kdV0vebi//vrrMTg4aHxt27bN0e8mZF/hNZXPFjr2sjoVyCsbttfS0lwmAGenvFcgVwGQ+ZuKiUILnJQNtwUz1+8djmHvaMLIplpNmSGTH6uWFjV7Kt++bOgdVUhgHyb79HnsHfRyE8RK6FTE1JwQZLP1IinfPxI3Dk7tLbSleqdUZabKUBn74sgqbcblgs7228PcZUSh4bSSLLsH9UbyK8mm057qmpwtOddQgk19S3MFZTkpAKnplhIaYuWCb2OJNMQRMKQSdM5WZu4ZjlEKoIEoVZk55CTgXKHiAsgkcCSuCRvBtxGbk5eLIboGhB3lBp41tj1J/5e8+uqrceGFF1q+Z+7cuUqL6ezsBLIVZV1dXcbPd+/ePa66TOD3++H3N/b/iWTyEg54MZaIjcsw5h72Ko5ImT54yZaWsUTctu6LrWx99oCXyra0BIpkOZ1Uks2a2gQA2D4waohPTgl6bWeWyOSk1MFJ13VT+7Kk7kskZmlPwwr6LOVsKdd+IieKXtqpV698cbk0dLU24aO9o9g+EM2JubLype4p1dKiMlQmaGTAK7s3QSLobFfzKOT3IBpPVaWSbNaU7N60N4p4Mo3BbCUE7am+abEIkqnYU8hGQtRuMhQSAeeEaZqsraEyZauccz9vKlPtVoxZU5vwfu8Itg+MGlVFjd4e1giUsqchhXOe2Bfs6mXasadm6WnO9vcmq+s6kakx+026ruc0yRq8kkx6l29vb0d7e3tVFjNv3jx0dnbi6aefxpIlS4DshMznnnsO3/72t6vyOwmZSFoCHuyOxMY97JWdeltlw3KZwN7huO2WFlulyAUtLcWCZE7KhvdrCwIAtvaN5EqGWUVW9xgl+AUB51gyjURKz75HoX3ZqpJMKrtY+VHjMB2ISrW0qLazCPZrC+KjvaP4sC/Kg1MDUcqeVKQAxL5QSU0yo5rGQu8IpqpkGd2XPRbBcRlNpkL2m5bZmz7sixo6f26XZrSNkfokJwWQGNcZo6ZJVr59WWYfMXQtY6UlMFBQbWNvuqXNKmcb1W7FEGe9bf1RJLMtAzzr1T/hEu3LOVuy/zwV934smUYylYanRDJdbm/KJphsJkRl2y1L7XlOBp7NntoETcusqXc4zoRolqqWVmzduhXr16/H1q1bkUqlsH79eqxfvx7Dw8PGexYtWoS1a9cC2TbLa665BrfccgvWrl2Lt956C5dddhmCwSAuuuiiai6VkAmh1JQWlYe9eDBblQ3HkilDFNzOdK5Qmcl5gtxhp/w1XaaWlrIPe4Vs/X5tIQDA1v4oxScbiFItLcK2NE2u+iMopUlmP6tetpJMslIlVObgFHVgSwAwJ+vY054ai1L2pKKhFLSZWRe/y05yxG5l5rDk/Z9rZSseMJCZPFuIcOojY0ls3pM5B7eFfEoBAjJ5EOe8ZFrHWKJwSJOKY18+4aIScB5LpMcNkTIjEjE+tws+G0NgmsvYkpNzHkz29GFfFL0R0R7GIFm9U0paw8kQDACIJmwEnW0NU5IV7pfrGii15zmpJPN73OgKBwAA7+yKGFXfja5JpvZkssmNN96IBx980HgtqsOeeeYZHH/88QCATZs2YXBw0HjPddddh9HRUVx11VUYGBjA8uXL8dRTT6GlpaWaSyVkQihVNqyiU2GnbNicebTjiNh17Eck2s7E+6xbWuxvSIWIbP1ANIG3Pso8W0SbC6lfzNl6M0Lvr8XvkXJG7egoVUWnQrKKUvzdJVtaJKb7FUPY09a+KD7oiwIAZtKe6p5S9qQ0VMYIkpVpt4zbd+zL3fcC2ark5nLVLw4qyQJeNzrCfuwaiuH5d/YAAGa2BqSvQyYXIZ8bLg1I6xnHvsmXk5wQe4hci1j59mWpycum3z0ST6G1qXgATFYr1tCfLWFLTjoGUJDA8WUrgLg31T+lpABUEjg+twsel4ZkWsdILFnys1KVmQG5/c5+Asf6uk5kapA96+0YHDP2ppaAx7ZPV69UtZLsgQcegK7r475EgAxZvZjLLrvMeK1pGtasWYOdO3dibGwMzz33HBYvXlzNZRIyYeQe9sU1yWQmiImHmVVLi3AoAl5XybLivGvadERkHQer4FsqrWM0IcqG5Q9PzX6PUXL/xIbMVNyDu8LS1yGTC8NpjqeQSucGQkQUNF9gs33ZyATa0amwHXCusJirxHS/Yohs/etbB9A7HINLAw7sYNKq3ikpjjyqII6cfY6PJvJtsxAZewqJKmebLZyhCrW0RCWEy4sh7Onxt7J700zuTfWOpmnGfWXuGjDfY3JB5/LtyzJOvd/jhtedSSDZSQpJV2WW6hhw6NR3G5VkI9i4cwigPTUEpabFioSoTHGBpmm2pi+PSASzbU+3lC4uKFfl7CzoPG5v6gpLT0SvN6hkTcgEEjZGGRevJJvI7CJsaEogG+iWdRyMiXxFDk+jppLnkIOMCLJl+ODBqSEwB8HM95WKLSFPHNni4CQqX2yV4GfeU66lZURSaF9ct5goNBQGARQyJ9u+LGxp/+nNRiUEqV8q2dJi3hdKOfaxZMrQDqxsZabk3lRGn8mso6SCWQ4ATOA0DDlpjdz9Kpx8v8cFv8f+/WTHCZdpt4RNe8qd82xWOWeTvPFUGrHk+H006rTKuS3XNTAcS8LndmH+9Gala5HJQzkpAOmEqI2gs4yWs92hMrKTx0VlZim7lw1iFzJnWsHeRL+JQTJCJpJwqUoyka2XEPS1IwwuKwpup7c+lkwb1QF2r2tU0BVxRMTByaVlKt5UEIcnwUF0ROoen8dl3C/mDKMxKVZSHDvoL9++nNNQsu/Uo0wgW/bglGvZLufUO6t8EdCWGoNctr64xp+MI+L3uCA6nUsFnc2B7ZBE0NnuNGf77culJxHC4bRYFLEnOiKNQbH7SsWWYKoKttTLjMkFtEI29Gelz4+mQHoxezIqyRSrMlsCXrSZhPoXdjZzinkDUHa6peT9ZCfonCswsD+czP7AMzm/qXBPFsgGsQvpLtybeNZjkIyQiaRYb306rWNvNkg2NWhfNNEQ7o+nkC7R0iJdSWbjYW/+t6DNMd4iw1isksxcSaNa6rvAlE0MeF15BylSvxSbyDcQFbYk54gY7ct2svU2qmp8Hpehm2KZrZdsDxOB9uFYEro+3u6dHpxag160m4T6eXBqDEoFXw17Ctm3p/yWFuthLU1eN9w2tAPtt7TIBYlL6d0gWzXtdFrsghn5lS4HdtKeGoFiGn97s7bUJmFLMOtlWrVbGkNl7F3bTtA5Jwxuz5bcLi03fbmIPTkRGheYz3oH0ZYaAtFOWaiXmdub5M775YLOuq6bfKfy9iTbblmJvQkKGmeFLCiowmQCh0EyQiaUYtMtI2NJozJrioRjHzI9GEdLTGmptN4R8h709sd4W2VEZCtpinHx0XOM75d0T1W+DplcGKPBTe3LAyNxIDtFTgY77cuymhL2qj3l2sNEMCOtF6/ScVpJBgBfXX2g8T0PTo1BKSkAVXsKlRHvH5YIOMOG3hEKpADsZ+tLV5KNJdIQceiQoj2dfPAMQ6x/StDb8MLIjUKxFrH+rC3JJENhszVSdnJeyEbl9IhkdRrK2JPT6ZYA8E+nLDS+Z5VzY1DqnlLfm6yDzvndMvYHnpWrcpYdXFGua0B2MnohB3W1YNXBHcbrA2ZQe5a7MyETSLHMQH8086AP+dwI2KzMQrZiSkxQGoklizrZsjoVdnrrVbIXVgcnp+0syG6Sv/vHT+COp9/B546Zp3wdMrkodohQd0Qq374c8nswEE0gYqn7IpddD3hz05kiY+PtXjZIUIzzlnVjJJbEhh1DWDl/mvJ1yOSh2FCZdFrHQHZ/apO0J5H0KOWIyLaeGHuTRTVNLJlGMuvc2G9fLi6BUPi7miT2ZjN+jxu/uvrj+OZvNuLUQzqVrkEmH8WkNQxbUgw4W+llDsfVEqJ2Am8hqbOeBz1Dxe0pGpcL5BVj+f7TcO+nj8Rjb+zAOUfOUr4OmTyIZ3Q8lcZYImX4ScJ3Ug86WydwYPPet3N2NP8+O9eEuWugTCWZateApmm4638swT//eiMWTG+Gz8M6KgbJCJlARNthUade8uCkaRpCPg8isWTJ6pfImJwjYke4XzZjCVO1gJUj4qSSDAAWzGjB9y5e6ugaZHJRLOjs1BGxNwhDbqqrddBZrpJM0zQ0BzzYG00gMpZAZ7ZKJXc9Z0LjgssYbG4ocsL9+RpKopN/iqQjUu7eHx6TO+DbqXI2BxFCFWhpyWXq7VdNF2N6ix//euES5c+TyUexrgFx1pO1JTt6mcMSepmwOX1Zdm9C2a4BZ5pkgtWLu7B6cZeja5DJQ7PPA00DdD1jTyJIlmtfVqskKyXcbx7WYue5bwwmi2ckMErJxsgGtayKC1QGqBUj4HXjlrMPVf58vcEwISETSLGJR3sVnXqYs/VldF/sZxetRw5DcYx32IYj4qQEnzQmxRyRnCaZWiWZLU0ym7ovUtl6qZaW0o5IVNLmCUHecJVc+7+wpWa/RzrLHDRaWsq0W1ayyjn7bwGvy5bOGcoMlcklcGhLRI5iwVdVTTJDL9PGABi7Iua2gmQKUhjNFi1ildAkI42Hy6WNm+qdSuuG7ySrPxssU0kmW1wg3qeXkMAQyMrfWBUXmFtCnSZESQ4GyQiZQFqzTr14uMNBdhE2yvBHJMvbxcHOUsxV0rmBzZYWHpyILDl7MgXJjMpMyYOT1LQv2eqXyh2cUKIi1bhehSrJSGMRNk3cEwLJ/Yq2BBuDMNSlACxsSbKFE6ZsfbWExkljUmxvUpUCMALOFZYCKHdNWeF+mM56xfZRlQQrIShiT0OjFahyLlNJZncfafK6jWnOpewpnkwjkRJBLbkq55F4ygiICcw+H+2pcjBIRsgEMq058zAfiCaQTKWz3wvNF3lHpNxBJyJZgh+yMd1yWCG7aC3m6lxonDQm7dnqy76RmPEzp+LIpQLOiVQasWTGZu079uWdmxEHjgjtiVQKn8dlVPwKezKEkRUSOOWCzspOfbz4VFco3vtWtiSC2020JSKJOOuZ9yanUgCxZNo4NxYyIqlJZqcyU3aoDMp0DZjb2AiRYVp24nbfcMaehB5Zi5Mq51IJHElbEtI3sNjvzL/LbtKlxTTUpjCJI67n99ivmiblYZCMkAlkatBnZByEM98/ojbGGHktLZXJiMjovoQqlF0Uhykx5pkQu7S3ZA5OvZFcZaayI+K3p1OBCuu+RE3TYu1iFXSmPRFVhD3tydqTcESUqpwNe7Jut5S1JauWlpGK21Jmbw7bnMBJiKC9efze5DSBA6v25Sroz4oqUJlKSquJfIY9NcknhEljMz0bdO4dztjQgKKWM2x04EQk9TJhYxiA8NH8Hhc8bnuhGL/HbQQAhwrsaYi2VBUYJCNkAnG7NMN5L3zYq2TrjeqXUg/mKui+yLacoYwjIlp7zO0+hNhhWiibXcxm68cSKePgI3t4CtmsfPF7XPDaPOTYaWmRDRbAPPWoQEdJ1/Xc4Yn2RCRpL7AnJ3qZIWMQRmUSOGKaM6wqABxIAYjJaWaGRrM6T7QlIknh3gRTq5js3uTzuOB1Z27+0kkcUfVld6hM5Vs4YdJEK37WyyZwaE9EEiPonK0kG1C0JdgoBhC2JLOPhMoM11CdOl6qMlO8bmECp6IwSEbIBDP+Ye8gI1LmYR+JyR3ycy0tKaTTxVtaoobmkf2Hs9gYCrMh4MOeOKC9ILsonBCPS7MtYCwQ9/5YIj1O/wGK96mtSjKFCUXNJQ5OMZPuBe2JyNLekrWnSLalZURtCAbyxJGtg8527VTTNMNGIiXbZOSn5zWb9rHxjojI1tOWiBzClvpH4sZ+0l+B9uVi9hRLphDPtmHKn/Xs7E3yQ2WsKjO5NxFZjPbl4UIpABWZGuuuAZF8lEmOlJ3mrCBTY15D4RmSxQXVgUEyQiaYkkEyJeF+64e9MaXF5qHEnOWIJqxbWmQyImFTu2Vh8I1lw0SVaQW2ZB6CUWoMdynMLVrF7GlYMuAMG0HsdFqXHgsOC0dEHJxcmlw7NCHIq34pqHJWEO439qYSVc5DDoLO5SvJ7NuSeXLaOEeEVZlEkbagD5oGpPXMGW80nsJoQlQ5qw/CKNbOZd4HKimtYQyVkUmIiq6BItcdMqQAaE9EjpzflC8FoJTA8ZW2JSgmRMsFnVVsCSZ7Lmxfpi1VBwbJCJlgchkRoUmmPkHMXPlVDJERqWRLi2zgDabAgq6P30ToiBBVpmcPTpGxJMYSKZMemfy95Pe44Mne/MUOT7KaL7DRbhlNpCA0yMXESjsIeyqlU9ES8MJFMVciSWECx5kmmbXTYNiTQra+XEu0bEtLqenLRnsYHREiicftMhz43uGYsTd5TEFZGaz0Z4UthXxu2yLeLWX2JpgCXXJnveK2lErrhn1S44/IUpgQdaRJVqbVOKJw1iu7Nyl2zJRKiLIqszowSEbIBFOqt15N98X6YS8ezHYPJZpWOqsuMDIiEhtIwJsLQLC3nlSKcJPH0GrpH4krCyMje+9bOSJDCoeSnO6LtWagS8vYiF1KVpLRlogDpo1rX3agSVbm3lc55JcTR1bRUIKlPVG4n6gzLZRLiJplNWSrnJHXvly6kkwmmGVUkhVpixQ40fgrtCXz76HGH5ElJ62R34HjRC+z3FAZGXtqLmNPzvemEgkc2lJFYZCMkAnG7IiYq19EVYwMVgcnXdeVDk92H/Yymk+appVtEWO2nsiiaZrRItY7HMOuoTHANKVPFqtBGCpVKqEywwDMGUsZx6nUBDHqVBAnFCZweoQ9qexNZYT7VfaRsrovY/LXhIU9GZNiaU9EAbM97XJgSzAlXIpJAUQUNJTKtVum0rqSXma41N6UfR3wuoyJfYTYRfhHQgqgZyizR4ngmQxGAqekTI26PZXTJJMPkomugRIJHOplVhQ+mQiZYMwHp4/2jkLXM6X0atl6kREpJuaaRjKr/1XJFjGnD/vCiXxDdESIA8zty9v6owCA/dqCSteychyGHQScKzmNDzYqyXhwIiq0m2wpmUpjx96MY69iT80WAWco2lO5CWIqVc4w2dM4R2SUjghRx5wQ3don9qYmpWtZ6SipSAEYe1M8BV0fP6jGHECoRCXZIBM4xAGi3XJvNIFEKo3t2bNet8LeZNfHkUm25M6O1l0D8gkc63ZL2lNlYZCMkAlmuilIZnbqVUrwRbtlMadBPFQ1SRHvchnGXJBMbkpLbsJl7rqZajf21hN1RNB5z3AM2wZGAQDdUxWDZBaDMFSqSsodxpSder/1wYntLEQFcwJn5+AYUmkdPo8LMxQqM4MWexPy2uxrJ1tfqt2S9kRUMNuT2JuUEzgW0hpqQuOZ66XSOmLJ9Lh/F7/H49Lgl6j8ErYSjaeQTOWuywFNxAlTmryG3t6eSAzbHZz1RMA5kdIRL3Lvq+iHNZfRORPBM/W9qVS7Jf2mSsIgGSETTLHKl9mKTn3QordePFSbfR4pEe9chtHasZcRGgeA1uzhaDCae9iPJdJIpDJZTB6eiApme9rqsJIs1yJWmXZLUSVTbNKX+ecy1TQw29IodSpI5RC2FI2nsKknAgCYPbVJaQiEVZVzOq1jOF4FceSYvHMDk6NRaE9styROyFVmxoy9SaXyBWUGYajc9yFT4rSYPY2Y9iaZBK7ZaTcnRKk9S5zgcmlGt83GHUOIp9LwuDR0tQakrxUqM8lcRbjfKC4oKS8gN0RNUPKsx6BzVWCQjJAJpjOceajvjozhnV3DgAOn3qqdS0V8EnktLeXEkeUqycQGJzTYYHrQu7T8jYsQu4hD0tb+ESPo3K3Y0mJVqSLuVdV2y6ItLYrtlmLa4NBYAql07rrUqSBOaPZ7jHvxpc29QAVal4sFnEfiydxUVxWx8XKVmRKV0zDtTXtNexPYbkkc0tma2Ye29kdNe5MzeyqWEFVJ4LhcpkE1FtVpIUlb8rhdhk3nnfXYbkkcInynF9/L7E2zpjbB45YPa3jcLqM6smgXjoLvVL5rIGO3sme9qcGMveyNMoGzL2CQjJAJZnqLH+3NPqR14OmNuwAHTn3QQoBSdeSw1cNe1/W8DKMMU7IP+wHTw97cHqbSbkrIwV2tAIBnN+1BLJmGSwNmTlENkpV2GlTsSdhSWs9UTY67pnKQLGNLup6fYWS7JXGCpmk4uCsMAHjirR6gAq3L8WQaiVT+vS/ue69brpWrnMafamWmCDqb96ZkKm0E+GhPRAVhSxt2DOUqyZS7Bkq3L6u2BVsFnVWdepimS+/NS4gKvUzaElFD2NOTG5ztTSgXdFYIQLWU25tE0Fk6SDa+uACK09ZJeRgkI2SC0TQNh8zMOPZiepi6TkVpceQhhZJhlHFERhMpiMIV+YzI+IPToGgPY6aeKLJ4VubgtHMwY0tdrU3wKmQXUaZ9WSWgFfTmqiOLDgNQ1FDylszWU6eCOOOQAnty2rqMIvuTWWhcJjmS25usxZHVs/U5WzLrk9ERISoc0NEMn9uFyFjS2FNmT1VM4BhnPYuhMoralkWHAcTkK6cFwp76R3JB51wlGW2JqFF41lOtyoQp6Fzo5yRSaYwm5APEdoX7VYsLCivJclXODDpXEgbJCKkBDpkZznutXoJvUUlm6FTIPUStdF/EYcylAU1eufbIYpVkQ5zQQhzSPTWYNzFItSoTZvHVCgn3u1yapeCyqnODktl6HpyIM0QCR6BqTz6PC75ssLpQp2VIYbIlbLVbqokjF8vWC3sP+tzKQXfS2HjdLizqajFed4T9CEiemwRWTriq3pdV14Cq0DjyKjPH2xOrMokqh8yqzN4Ei4SL2RZU2i1FcLmQEUODU87+xd7UP5KzpczAM7ZbVgPu9ITUAItND/sWv8exJllGAL+gpUVBQwllD065yhfZ9kjDERkpdnBidpGo4XJpmNseMl4vLnDyZRD3fuGUOzjS+LNqaXESJBufrc8dnGhPRA2RrRcc1BUu+d5yGPqWBfZkJHAkh79YTRBLp3XH7csDI+MTONybiBMO6szZj7O9SbRbjnfCVQdWiGsWGyyTG9CkvjcVT+DQnogaZltCkYSODM0lglriDBXwuqSSI+WqnHMJUbk9T/hNo4kUxrIVbqOJFJLZlh7uT5WlqkGyb33rW1i5ciWCwSCmTJli6zOXXXYZNE3L+zr66KOruUxCJpxDTUGyb5x5sHJ20ZyVGyoxmUv2kGNVSeZIpyIkKsko5koqy+HdOXu6+sQFytcR92GhLcE8LbaC7cuVztbTnohTFkxvNr6/bOVczJkWsny/FWIy11DB+PrhKlSSRRM550RVCoC2RCrNIaag8w1nHKR8HcOWRq0qktW6BqwTovJn06mh8Rp/tCfilCaf25gYe/jsVnzigHbla4VL2FNE0ZZyQWzrycuy9tQS8MCdnS4tWi7Fmt2m4RukMlQ15BiPx3HeeedhxYoVuO+++2x/bvXq1bj//vuN1z6fr0orJKQ26G4L4tpTFsLl0nDe0tnK13G7NLT4PYjEkhgaS2Jas9/4N/XsokVZv+IYY+S1hxXL1vPgRNT5+0/MRzSWwuc+Ps8IHqmQc+pLt1sqt7QUbYl2rvtSLFtPeyKqeNwu3Papw/Durgi+cuoiR9fKOSKFCRw1fSKrIJkIFLhdGgJeuXyw2Jui8RRiyRT8HjcryUhFOOfI2Xhz+yDOOKwL+5sC0LKESwSc4aDq0W7XgCxWUgC0J+KEfznvcDy9cReuO/VAR8O+xN4zLoGj6DcJn0gMqimsQlOtcna5NExp8qJvJI6BaBydrYE8W+LAs8pS1afTzTffDAB44IEHpD7n9/vR2dlZpVURUptcfeIBFblOuMmbCZIVOiIx1exi6ZYWVc0XlMjW9w9nvp/WzMA4Uae7LYg7LjjC8XVKOfXxZBqxZKadWbZFzGhpKRJ4y1VmymcDCyfy6bputIu10Z6IA85f1l2R6xiVmSUckcpWZWadep9b2nFoCXjg0jJTaPdGE+gIu9GXlQVoC9GWiDrNfg/+5bzDHV/Hqsq5mlIATtotzTpK/bQnUgFOOHAGTjhwhuPrlDrricSlasAZWdsxJ2vTad0Y3KFSYDAlmAuSAUBf1m9qc5AQJsWpSU2yZ599FjNmzMDChQvx+c9/Hrt37y753lgshqGhobwvQhqZlhIZkYjDlpbijojzSjKRrQeA3uEYABgl1IRMJOWyi1Aol7fSqogYjr3zbP3QaBLxrC7hNDoipAYQ+kOFLS1OhfuLT+NT1/dzubRx7cu9kcz/Tm/xW36WkH2BsKVILIm0GDGexam0htVQGWdSALl9tHeY9kRqh1wCp1S7pfzEcZ8nO6imwJ7MXQTOKjMz9mT4TbSlilNzQbLTTjsNDz30EP7whz/g9ttvx6uvvooTTzwRsVis6PtvvfVWtLa2Gl/d3ZXJeBIyWSnVWz/ssAS/aEuLA00yka2H6WG/xwiS8WFPJp7StpSbdOeRnHRn5YiojgUHgLZQvti4sKWWgEdZ45CQSlKq+mVYcdJdczaYHE+lEU/mD6pxYkswVb8Ie+rl3kRqCGFLup4/LVbX9QpMMrcIOitJAeQncBKptBF8pj2RWkAEnQdLaTkr3PctJZI4wpa8bg1+j3wYZlwCJ7s3TactVRzp/3fWrFkzTli/8Ou1115TXtAFF1yAM844A4sXL8aZZ56Jxx9/HO+88w5+85vfFH3/9ddfj8HBQeNr27Ztyr+bkHpAHJ4KH/ZDipPuWmw49SrZEGbrSa1jLsHX9Vy23omeSrWmWxba0p4ID06ktiilozSkOATDXMVZuD850VBCEcde2BOdelILBLxuw8E2B52j8RRS2cqySnYNiOoXZ0OaMuvsH4lD1wGXlrMzQiaSUgmc3N4kr+ta6qxn9ptUNMREQtQoLhBnPfpNFUf6aXf11VfjwgsvtHzP3Llznawpj66uLsyZMwfvvvtu0X/3+/3w+3ljECIwWloKHBFx2JcVMrdsaXGQZUE2W98/Eme2ntQkIqAcT2U0yERFljicqBzw7bS0OGlfLswusgSf1ApG+3JBZaaqPXncLgS8Lowl0hiOJY0penBoSzDtk/2F2XraE6kRwk1e7InEMvY0NfOzvVkn3+vWEJKcdGelP2u0WzqUAtB13XDqpzX7jUl9hEwkpSYvDxp7k3qQrNCeIg5sCSZ7Erp+lKmpHtL/D7W3t6O9XX3Mqix9fX3Ytm0burq69tnvJGQy01pCgFI4IlMkH/biQS9aWnym8mAnY8FhPOxHMBCNI5lKGw4Jg2SkFmj25wS8h0YTRpBMBKKErclQarqlruuOsvXCrgcKdCpYSUZqBWEvhVXOIoGj4og0+z0YS8TH2ZMTW0LetFgmcEhtEg54sCcSy7OngZFcMlS2SsVaWsP5dMtEKtMKSlsitUYpaQ1x1puqoOsqgs7jK8nUZWpQtN2SflO1qKom2datW7F+/Xps3boVqVQK69evx/r16zE8PGy8Z9GiRVi7di0AYHh4GNdeey1eeeUVfPDBB3j22Wdx5plnor29HWeffXY1l0pI3VBsgpiu60aGcUqTZCWZr3RLS67tTN65gemhvntoLK8EnxOPSC2gaVrRFjHDlhxkFwt1X4ZjSQj9ZRV7EhUu/SOZgHOuPYy2RGqDUu2Wwp5andhTgeCySBKpVjmLCszdQ2NAXrsl7YnUBsXsadA451WuPQxmuY4meXtq8rmNc+TuSMzk1NOWSG1QavKySJI4SYgW2pP4HSq2BJPdiD2JVc7VQ+3/IZvceOONePDBB43XS5YsAQA888wzOP744wEAmzZtwuDgIADA7XbjzTffxI9//GPs3bsXXV1dOOGEE/DII4+gpaWlmkslpG4olhGJxJKGToWsY2/V0iIcEZUNBABmT20CAGwfGDWExttCLMEntUM44MXeaCIvWz9oVL44yC4WlvVnr+/L2pss05v98LldiKfS2Dk4xmw9qTnKOSIq9hTyFXdEBiu4N43GUxiJZ4LabF8mtUKxroFqSQE4t6cgNu2KZM561MskNUYp4X7VDhxYtFtWwpaQ3ZtAvcyqUtUg2QMPPIAHHnjA8j1mMeSmpiY8+eST1VwSIXWP0H3Jd+oz3we8LqVJd+GAF2OJ2Ph+/Qo5Ih/tHWV2kdQkhsafKegsWhpVKl9EoCAyVvzgFG7yKom5ulwaZk1twpbeEWwfyNkTs4ukVihmS7qum/QyFewpe81S9lQJR0QEnP0elzHIhpCJJhd0Nu9NWSmACu5NY4mUMT3WyVkvEySLsvKF1Bzi3o/GU0ik0vBmp5bvHVVPiJaypyHTWU8Fw28aGEU6raNP+E60p4pT1XZLQsi+p1gJvjg4ybZaCgwtmWjB5Jess1MRR4QTWkgNUqz6xcguKtiTsJW9hVOUDFtSd8Jz1S9RVpKRmqOYLY3EU0iKKucq2JNTR2T7QBS7TZl6lQA2IdUgF3Qe326pou9ntiVzAYO4pktTFxufZXLsuTeRWsPclm8OajlptzTsKVq8uCCsKFPT1RqA26Uhnkpj855hxFOZADYLDCoPg2SE1BnFRhk7KRk2f66wFNnpw352W84R2UOhcVKDFLcndaHx1jK2pBpwRkFlplGCz6AzqRHCpvYw4YQLW/J7XGiSnMYHU2CtcFCNU3uaNSVjSyPxFDbvzujo0pZILVE8gaM2xRymc14qrRvtxSiofHEpSmHkSWsYexOdelIbeNwuo91Y3O+ZKmd130l8RlSjCZzuTR63C53hAABg3da9QLaDyO9RG6BGSsMgGSF1Rm6U8fgSfNUgWalsfaUckYFoAu/uyjgi08N0REjtUMyenAj3m6syzdl6pyX4MNnT+3tGDEdkBh17UiOIez+tw3DCnSZwWo0plMUdEVV7CnjdRqXLn7b0A7QlUmMUmxY74KDyJeB1G9PLzfZUmQSO6BqIYsfejJbSjJaA8vUIqTRCqkYEnUcTKaNKS6XdsphmICqcEP3zB9m9KUxbqgYMkhFSZxQToMxNPFJtt8x8zlw2HE+mMZpIZf9d7WHfEvAan33irZ0AgIO7wkrXIqQaFLMn4UC0KtiTyPDHU2mMJdLGzyvpiPzu7V1IpnVMDXrR1crDE6kN/B4XfFmtF3G/O2ldRolAASrsiDye3ZsOmcm9idQOxYY0ORHuh2kqZrHzYyVs6e2dEXzQFwUAHMSzHqkhwgX3vgg4e90agkpVztbtlk7sSbQvP/4m/aZqwiAZIXWGeNDHk2mMJfKz9VNDzirJih2cNC2/n18WcXgSlQVHdE9RvhYhlUa0tJj1+JzYU8jnhifbsmIuw6+kIxLN2tLh3VOooURqBk3TckHnqHBEKlTlPE4vswr2NJt7E6kdrKQAnNqTeb+riFOfrXIWidXutia0hdhuSWoH46xnJHByrcsq56hSCRzRlVCJhKjwmw6b3ap8LVIaBskIqTNa/B543ZkHet9I5iE/4KDyBXmaZDmnXpQkt/g9yjoVANCdfdiL37NfW9Dy/YTsS6ZmD/LClnRdz7VbKtiTpmlFD0/CnpwcnLoLbOcwOvWkxhAVLv1Ze3LSuow83ZecLaXSOiIx547IeHuiI0JqhzZjb4oZP6uGPTnVnhVrDZmqcRhwJrWGsCdjbzKqnB1KAYwbKuNcWqPQT2JxQXVgkIyQOkPTNEP8XugSDTrVfSmSrXeq+SI4+8hZxvczWjg9jNQWQodIDJYYjiWREtP4HOsoVTZb3xEOYOX8acbrI7rp1JPaYkZY2NMYAGCwQpOXzdU0EZOQuRPH/m+PmJn3ehqHypAaQkwCF+c8VKl9uRJnPU3T8s56DDiTWqPQnpwPPMvYYKH+bCXOeictmpH3+pCZtKdqwCAZIXVI4cN+wME0PpSYblmJBz0AnHJwhxGIWL24y9G1CKk0hi0NZZx6cXAKeF0IeNWmCRXTqqhU0Pnrpx9kfM9KMlJriATO7iGxN2UdEUUpgClF9DKFLTWZhMhVWNQZxnELpwMAzjiUexOpLcTeNDSWxFgilZ3Glz3rKUtrlLYnp2e9fzhpofH9srltjq5FSKUR9pTbm9QnxcJkL2b9WV3XK2JPU0M+fOH4+QCAA2Y0K02GJuVRFxIihNQsxsM+knXsjYey2sM+XMSpr4TmC7IZxl9/8eN4dN1HuHj5fo6uRUilmW6qJMsbCa5oSyhR/VIpR2TxrFb8x6XLkNZ1YzofIbWCmMI1LlvvWAqg8rYEAN+7+Eg8/KetOP0wBslIbREOeOD3uBBLprEnEsPUkA9JUeVcQXsSgwGc2tP0Fj9+8YUV2Lx7BEfuN9XRtQipNIVdA7mBZ2r3vdCfTaZ17B2No8nXhJF4yuhEcGpP/7RqIWa2BhhwriIMkhFSh0xvyXdERGZkuuII+2pNPBLMCAdw5XHzHV+HkEojbCaRygTIdmUrylRtCabMZKWF+wUnH9zh+BqEVAOjkkzsTdlETnuzswTOaCKFWDIFv8ddMaceAEJ+Dz7/if0dX4eQSqNpGqa3+LF9YBS7IzHEU5lqlZDPjYBXrYIy125Znb1p6Zw2LJ1Dp57UHoUdOOKs16541hP6s30jceyNJtDV2mQkRn1ul7KNCjxuFy5ZMdfRNYg1bLckpA4xP+yTqTR6sg97MWFIFqO3frTylWSE1DJ+j9u4x/cMx7BjcBQAMHNKQPmaRYX7s469Ew0lQmodQ5Ms64h8tDdjT2KkvSwtfg/E3BhhT5V06gmpZcxnvR0mW1LVdi1eSSakAFhXQeqXwg4cw54U/SaY9GcL96Zwk4f6y5MABskIqUNmtOSy9bsjMaTSOjwuTbn6RTgbw7EkEtlsZaU0lAipdWaYHBHh1M90cnAqaF/WdT0XdFbUDSRkMmAMlcm2Lzt1RFwuzdiDxICaQTr1pEEwt4jtqMLeBAadSYMwI9uB0zscRzqt46O9zooLUMSe6DdNLhgkI6QOMWcXd2YrXzpbA3C71DIX4UDO2Rhitp40GOYM444KHJwKs/VjibTRKkN7IvWMqCTbPTSGgWjCEDTubFWvzCyUA6AjQhoF82AZsTd1tTp36qslrUFIrTIt2/KfSusYiMYN38lJ0HlKgf4sbWlywSAZIXXI9LzKl8zBycmD3uN2ocWfCZSJIQB9w2JiprqAOSGTgWItLZXI1osDU29WKNbncSHEKUWkjpnenAmGDY0lsaV3GADQ3uyH36N+3xdm6/uy9tTGvYnUOcKezJVksyogBWCucu4bydgTz3qknvG6XWgLZe7xD/qihg1UQlpD6M8Kv4l70+SAQTJC6pC89rAB5331ADAlO1J8YCTzkN+V7dvvbOUEPVLfzDCNBt9ZgSCZcDb6s7YkNDA6wn7qVJC6Jtzkgc+TOXq+sW0QcOjUw6SZ2W/sTRmn3kl1GiGTgVxlplkvszJ7k67rGIgmkEjpeb+LkHpFnPX+sn0vkNW8bHGgEyv2pj6xN2X1oTu4N00KGCQjpA5pz+q+xFNpvL1zCADQ5fCh3BnOfF4MAdiVnZgp+vgJqVdEJdnOwTHj/p/pwJ46sra0q8CWOmhLpM7RNM3QJVu/LeOIOHHqYdqbhD3tzv7vjDDtidQ35mmxOyvQNSD2ptFECpFY0kjgtIV8jqo9CZkMiLNexfam7Dlx12B2bxIJUZ71JgUMkhFShwS8bsOJ//3bu4CKPOwzn+8ZHEMylTZaxDroiJA6Z+60EADgmU27kdYBr1szAtEqiIB173AcsWTKcOppS6QRmNeesaffZfcmJxpKMDkiO0WQLCKCzqx8IfXNvOkZW3pnVwQf9I0AAGY6sKcmn9vQzOwZHDMlQ2lLpP4Re9PTG4Xf5OxMJs56hcUFHazKnBQwSEZInbJsbhsAYCSeAirQbike9jsHx9A7HIeuA26Xhmkh9taT+kbYUjRrS12tTXApDsFAVrhftJztHooZ7WFsZyGNwLK5UwGTPTl1RESQrGdwDLqu51paGHQmdc7+7SG0hXyIJdNI64CmAR0OJTBEZebOwTHaEmkoCs96lapy7hkUQTLa02SCQTJC6pSPzWszvndpwMEzw46u12F62IsH/YwWv6NgASGTgbaQDwtmNBuvD53V6uh6mqblBZ15cCKNxFFz2/JeHzZ7iqPrdZpsaTiWNBwcBp1JvaNpGpbNmWq8XtQZdtwWaVS/DI7mWpdZSUYagI/NnZr32ulZT1RJ7zQSOJmE6HTa06SAQTJC6hTzw/6kgzocO+DmsuFdPDiRBuPAjhbj+08fPcfx9cwaf7vZ0kIaiCP2ywXFWvyecY6JLGJv2jWUaw9rCXgQ9HkcrpSQ2mepKUh2SSX2prwEDmU1SONQ2Pr/ySNmOrqeSNTEkmn0DseNSbG0p8kBg2SE1CkLZ7TAna3yunRF5Q5OPYNjpvYwPuhJY3DywTMAACGfG0fv31b2/eXoNGXrWUlGGomgz2MEnb900gGOJ7qKgHP/SBzb+qMAbYk0ECvntxvfn7XEmVMPAJ3hnP5sbm9iAoc0Bn9zWBcA4NwjZztOtAS8brRlJWne+miQMjWTDKbZCKlTXC4Na69aiZ2DYzj2gOmOr2fO1vdkR43z4EQahb89fBYSSR0r5k9z7NRjXLaejghpLO69ZCle/3AA5yyZ5fharU1eBLwujCXSeGN7ZioZbYk0CofObsW9nz4Ss6cGK1I9ae4aGIgmACZESQOx5pOHYMX8aTj3yNkVuV5nOID+kbgxMZMyNZMHBskIqWMOmz0Fh1XmOY/pzX64NCCZ1rFxxxDAMcakgXC5NJz/se6KXa8r63R80DuCobEkQEeENBDz2kPGJDGnZDT+mrCldwR/2T4IcG8iDcbqxV0Vu5a5a2BwNBMkY2UmaRTam/24eLnz7htBV2sAG3cOGQkcnvMmD2y3JITYwuN2GWKTL23uA0yHKUKIHMJ2Xs7aUsjnRoufeStCVBAtly+915t5zb2JECVEJdm7u4exOyut0UV7IkSJwrNeF4Nkk4aqBck++OADXH755Zg3bx6ampowf/583HTTTYjH45af03Uda9aswcyZM9HU1ITjjz8eGzZsqNYyCSESzJ+emfAXT6YBAMvnTZvgFREyORG2FMva0lHz2irSxklIIzJ/RqYqzWxPhBB5Zk8Nwud2IZXWkUrrmDstyEoyQhTZv8Bv+hj3pklD1YJkf/3rX5FOp/GDH/wAGzZswHe/+13ce++9+PrXv275udtuuw133HEH7r77brz66qvo7OzEqlWrEIlEqrVUQohNVi/uNL6fOy2I/aYFJ3Q9hExWFsxoxv7Tc+1mldANJKRRWX1Irt3M7dKYwCFEkSafG59YmNuPuDcRos6ph3TkvT5uYXvJ95LaompBstWrV+P+++/HKaecgv333x+f/OQnce211+LRRx8t+Rld13HnnXfihhtuwDnnnIPFixfjwQcfRDQaxcMPP1ytpRJCbGIOki2Y0TKhayFkMqNpGk5aNMN4bXZKCCFymCfOallHnxCixpmH54LO3JsIUWf21PxiAtFFQGqffapJNjg4iLa20mWGW7ZsQU9PD0455RTjZ36/H8cddxxefvnlop+JxWIYGhrK+yKEVIcZLQGcfFDGsf/cx+dO9HIImdRceNR+8LldOLCjBfOnV0bEnJBGxON24fPHzgMA/PPfLp7o5RAyqTnpoA5MDXoxJejFivmsyiTECbeecygA4IqPz6OsxiRin6kEb968GXfddRduv/32ku/p6ekBAHR05JcmdnR04MMPPyz6mVtvvRU333xzhVdLCCnFdy84Alv7ozhkZutEL4WQSc386c14/JpjEQ54eXAixCHXrV6E0w7twpLuKRO9FEImNc1+D/7rix+Hrme+J4Soc+HHunFQVxgHdbEDZzIhXUm2Zs0aaJpm+fXaa6/lfWbHjh1YvXo1zjvvPFxxxRVlf0ehs6DrekkH4vrrr8fg4KDxtW3bNtk/iRAiQUvAywAZIRVi/vRmY2osIUQdr9uFI/ebyoAzIRVg9tQgutuoO0uIUzRNwxHdU+D3UAZgMiGdHrj66qtx4YUXWr5n7txcG9aOHTtwwgknYMWKFfjhD39o+bnOzozeUU9PD7q6cv3wu3fvHlddJvD7/fD76WAQQgghhBBCCCGEEHWkg2Tt7e1ob7c3meGjjz7CCSecgKVLl+L++++Hy2VduDZv3jx0dnbi6aefxpIlSwAA8Xgczz33HL797W/LLpUQQgghhBBCCCGEEFtUTbh/x44dOP7449Hd3Y3vfOc72LNnD3p6egzdMcGiRYuwdu1aIFuOeM011+CWW27B2rVr8dZbb+Gyyy5DMBjERRddVK2lEkIIIYQQQgghhJAGp2pqjE899RTee+89vPfee5g9e3bev+m6bny/adMmDA4OGq+vu+46jI6O4qqrrsLAwACWL1+Op556Ci0tFLsjhBBCCCGEEEIIIdVB080RqzpgaGgIra2tGBwcRDgcnujlEEIIIYQQQgghhJAJxG6sqGrtloQQQgghhBBCCCGETBYYJCOEEEIIIYQQQgghDQ+DZIQQQgghhBBCCCGk4WGQjBBCCCGEEEIIIYQ0PAySEUIIIYQQQgghhJCGxzPRC6g0Yljn0NDQRC+FEEIIIYQQQgghhEwwIkYkYkalqLsgWSQSAQB0d3dP9FIIIYQQQgghhBBCSI0QiUTQ2tpa8t81vVwYbZKRTqexY8cOtLS0QNO0iV5ORRgaGkJ3dze2bduGcDg80cshZFJDeyKkMtCWCKkctCdCKgftiZDKUG+2pOs6IpEIZs6cCZertPJY3VWSuVwuzJ49e6KXURXC4XBd3JyE1AK0J0IqA22JkMpBeyKkctCeCKkM9WRLVhVkAgr3E0IIIYQQQgghhJCGh0EyQgghhBBCCCGEENLwMEg2CfD7/bjpppvg9/sneimETHpoT4RUBtoSIZWD9kRI5aA9EVIZGtWW6k64nxBCCCGEEEIIIYQQWVhJRgghhBBCCCGEEEIaHgbJCCGEEEIIIYQQQkjDwyAZIYQQQgghhBBCCGl4GCQjhBBCCCGEEEIIIQ0Pg2SEEEIIIYQQQgghpOFhkKxG+N73vod58+YhEAhg6dKleOGFFyzf/9xzz2Hp0qUIBALYf//9ce+99+6ztRJS68jY06OPPopVq1Zh+vTpCIfDWLFiBZ588sl9ul5CahXZvUnw0ksvwePx4Igjjqj6GgmZLMjaUywWww033IA5c+bA7/dj/vz5+NGPfrTP1ktIrSJrSw899BAOP/xwBINBdHV14bOf/Sz6+vr22XoJqVWef/55nHnmmZg5cyY0TcMvf/nLsp9phDgEg2Q1wCOPPIJrrrkGN9xwA9atW4djjz0Wp512GrZu3Vr0/Vu2bMHpp5+OY489FuvWrcPXv/51fOlLX8IvfvGLfb52QmoNWXt6/vnnsWrVKvz2t7/F66+/jhNOOAFnnnkm1q1bt8/XTkgtIWtLgsHBQVx66aU46aST9tlaCal1VOzp/PPPx+9//3vcd9992LRpE376059i0aJF+3TdhNQasrb04osv4tJLL8Xll1+ODRs24Gc/+xleffVVXHHFFft87YTUGiMjIzj88MNx991323p/o8QhNF3X9YleRKOzfPlyHHnkkfj+979v/Oyggw7CWWedhVtvvXXc+7/61a/isccew9tvv2387Morr8Qbb7yBV155ZZ+tm5BaRNaeinHIIYfgggsuwI033ljFlRJS26ja0oUXXogDDjgAbrcbv/zlL7F+/fp9tGJCahdZe3riiSdw4YUX4v3330dbW9s+Xi0htYusLX3nO9/B97//fWzevNn42V133YXbbrsN27Zt22frJqTW0TQNa9euxVlnnVXyPY0Sh2Al2QQTj8fx+uuv45RTTsn7+SmnnIKXX3656GdeeeWVce8/9dRT8dprryGRSFR1vYTUMir2VEg6nUYkEqFTQhoaVVu6//77sXnzZtx00037YJWETA5U7Omxxx7DsmXLcNttt2HWrFlYuHAhrr32WoyOju6jVRNSe6jY0sqVK7F9+3b89re/ha7r2LVrF37+85/jjDPO2EerJqR+aJQ4hGeiF9Do9Pb2IpVKoaOjI+/nHR0d6OnpKfqZnp6eou9PJpPo7e1FV1dXVddMSK2iYk+F3H777RgZGcH5559fpVUSUvuo2NK7776Lr33ta3jhhRfg8fB4QYhAxZ7ef/99vPjiiwgEAli7di16e3tx1VVXob+/n7pkpGFRsaWVK1fioYcewgUXXICxsTEkk0l88pOfxF133bWPVk1I/dAocQhWktUImqblvdZ1fdzPyr2/2M8JaURk7Unw05/+FGvWrMEjjzyCGTNmVHGFhEwO7NpSKpXCRRddhJtvvhkLFy7chyskZPIgszel02lomoaHHnoIRx11FE4//XTccccdeOCBB1hNRhoeGVvauHEjvvSlL+HGG2/E66+/jieeeAJbtmzBlVdeuY9WS0h90QhxCKZ6J5j29na43e5x2Y/du3ePi9IKOjs7i77f4/Fg2rRpVV0vIbWMij0JHnnkEVx++eX42c9+hpNPPrnKKyWktpG1pUgkgtdeew3r1q3D1VdfDWSdfF3X4fF48NRTT+HEE0/cZ+snpJZQ2Zu6urowa9YstLa2Gj876KCDoOs6tm/fjgMOOKDq6yak1lCxpVtvvRXHHHMMvvKVrwAADjvsMIRCIRx77LH45je/WTeVL4TsCxolDsFKsgnG5/Nh6dKlePrpp/N+/vTTT2PlypVFP7NixYpx73/qqaewbNkyeL3eqq6XkFpGxZ6QrSC77LLL8PDDD1OjghAFWwqHw3jzzTexfv164+vKK6/EgQceiPXr12P58uX7cPWE1BYqe9MxxxyDHTt2YHh42PjZO++8A5fLhdmzZ1d9zYTUIiq2FI1G4XLlu7xutxswVcAQQuzRMHEInUw4//mf/6l7vV79vvvu0zdu3Khfc801eigU0j/44ANd13X9a1/7mn7JJZcY73///ff1YDCof/nLX9Y3btyo33fffbrX69V//vOfT+BfQUhtIGtPDz/8sO7xePR77rlH37lzp/G1d+/eCfwrCJl4ZG2pkJtuukk//PDD9+GKCaldZO0pEonos2fP1j/1qU/pGzZs0J977jn9gAMO0K+44ooJ/CsImXhkben+++/XPR6P/r3vfU/fvHmz/uKLL+rLli3TjzrqqAn8KwipDSKRiL5u3Tp93bp1OgD9jjvu0NetW6d/+OGHut7AcQgGyWqEe+65R58zZ47u8/n0I488Un/uueeMf/vMZz6jH3fccXnvf/bZZ/UlS5boPp9Pnzt3rv79739/AlZNSG0iY0/HHXecDmDc12c+85kJWj0htYPs3mSGQTJC8pG1p7fffls/+eST9aamJn327Nn6P/7jP+rRaHQCVk5IbSFrS//2b/+mH3zwwXpTU5Pe1dWlX3zxxfr27dsnYOWE1BbPPPOMpR/UqHEITWedKSGEEEIIIYQQQghpcKhJRgghhBBCCCGEEEIaHgbJCCGEEEIIIYQQQkjDwyAZIYQQQgghhBBCCGl4GCQjhBBCCCGEEEIIIQ0Pg2SEEEIIIYQQQgghpOFhkIwQQgghhBBCCCGENDwMkhFCCCGEEEIIIYSQhodBMkIIIYQQQgghhBDS8DBIRgghhBBCCCGEEEIaHgbJCCGEEEIIIYQQQkjDwyAZIYQQQgghhBBCCGl4/j9VuYofNgzr6wAAAABJRU5ErkJggg==", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "m = myokit.parse_model(\"\"\"\n", + "[[model]]\n", + "f.y1 = 0\n", + "f.y2 = 0\n", + "f.y3 = 0\n", + "f.y4 = 0\n", + "f.y5 = 0\n", + "f.y6 = 0\n", + "\n", + "[f]\n", + "t = 0 bind time\n", + "pi = 3.14159\n", + "u = sin(2 * pi * 5 * t) + sin(2 * pi * 50 * t)\n", + "f = 10 [Hz]\n", + "alpha = 2.7034 / (2 * pi * f)\n", + "dot(y1) = 26.514 / alpha^2 * (u - y2) - 5.0319 / alpha * y1\n", + "dot(y2) = y1\n", + "dot(y3) = 20.853 / alpha^2 * (y2 - y4) - 7.4714 / alpha * y3\n", + "dot(y4) = y3\n", + "dot(y5) = 18.801 / alpha^2 * (y4 - y6) - 8.4967 / alpha * y5\n", + "dot(y6) = y5\n", + " desc: The 6-pole filtered output\n", + "\"\"\")\n", + "s = myokit.Simulation(m)\n", + "e = s.run(1, log_interval=0.001)\n", + "t, u, y = e.time(), e['f.u'], e['f.y6']\n", + "\n", + "fig = plt.figure(figsize=(15, 4))\n", + "ax = fig.add_subplot()\n", + "ax.plot(t, u, label='Noisy (5 Hz + 50Hz)')\n", + "ax.plot(t, y, label='Simulated, n=6, f=10Hz')\n", + "ax.plot(*low_pass(t, u, 10, n=6), 'k:', label='SciPy, n=6, f=10Hz')\n", + "ax.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "d841d052-5734-456e-848f-4b27dc24f95a", + "metadata": {}, + "source": [ + "It works!" + ] + }, + { + "cell_type": "markdown", + "id": "3a2985af-e49c-4187-a2e4-76aaf5c1ef3b", + "metadata": {}, + "source": [ + "## First-order approximations\n", + "\n", + "Finally, we compare a 6-pole filter with a 1-pole approximation." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "a6ed5de2-aec1-4f3c-bee9-0f457c3b5936", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "m = myokit.parse_model(\"\"\"\n", + "[[model]]\n", + "f.y1 = 0\n", + "f.y2 = 0\n", + "f.y3 = 0\n", + "f.y4 = 0\n", + "f.y5 = 0\n", + "f.y6 = 0\n", + "f.z1 = 0\n", + "\n", + "[f]\n", + "t = 0 bind time\n", + "p = 0 bind pace\n", + "pi = 3.14159\n", + "u = sin(2 * pi * 5 * t) + sin(2 * pi * 50 * t)\n", + "f = 10 [Hz]\n", + "a1 = 1 / (2 * pi * f)\n", + "a6 = 2.7034 / (2 * pi * f)\n", + "dot(y1) = 26.514 / a6^2 * (u - y2) - 5.0319 / a6 * y1\n", + "dot(y2) = y1\n", + "dot(y3) = 20.853 / a6^2 * (y2 - y4) - 7.4714 / a6 * y3\n", + "dot(y4) = y3\n", + "dot(y5) = 18.801 / a6^2 * (y4 - y6) - 8.4967 / a6 * y5\n", + "dot(y6) = y5\n", + " desc: The 6-pole filtered output\n", + "dot(z1) = (u - z1) / a1\n", + " desc: The 1-pole filtered output\n", + "\"\"\")\n", + "s = myokit.Simulation(m)\n", + "e = s.run(1, log_interval=0.001)\n", + "t, u, y, z = e.time(), e['f.u'], e['f.y6'], e['f.z1']\n", + "\n", + "fig = plt.figure(figsize=(15, 4))\n", + "ax = fig.add_subplot()\n", + "ax.set_xlabel('Time (s)')\n", + "ax.plot(t, u, label='Noisy (5 Hz + 50Hz)')\n", + "ax.plot(t, y, label='Simulated, n=6, f=10Hz')\n", + "ax.plot(t, z, label='Simulated, n=1, f=10Hz')\n", + "ax.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "baef0f1a-9a84-402f-b2de-8abfa7734a83", + "metadata": {}, + "source": [ + "The 1-pole filter doesn't filter out the high frequencies as well, but has considerably less lag.\n", + "_However_, for patch-clamping we're much more interested in the step response:" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "8f130c8b-3a8e-4b96-aa9f-556e93540de9", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Update the model to use pacing\n", + "# We also re-interpret time as being in ms, making the frequency 10 kHz\n", + "m.get('f.u').set_rhs('p')\n", + "p = myokit.Protocol()\n", + "p.add_step(level=-50, duration=1)\n", + "p.add_step(level=50, duration=1)\n", + "s = myokit.Simulation(m, p)\n", + "s.pre(1)\n", + "e = s.run(2)\n", + "t, u, y, z = e.time(), e['f.u'], e['f.y6'], e['f.z1']\n", + "\n", + "fig = plt.figure(figsize=(15, 4))\n", + "ax = fig.add_subplot()\n", + "ax.set_xlabel('Time (ms)')\n", + "ax.axhline(-50, color='#ccc', ls='--')\n", + "ax.axhline(+50, color='#ccc', ls='--')\n", + "ax.plot(t, y, label='Filtered, n=6, f=10kHZ')\n", + "ax.plot(t, z, label='Simulated, n=1, f=10kHz')\n", + "ax.set_xlim(0.99, 1.13)\n", + "ax.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "08710c2e-dbc4-4afb-af94-ee03042abecb", + "metadata": {}, + "source": [ + "Here we can see the much faster response of the 1-pole filter, and the much smoother response of the 6-pole.\n", + "The phase-shift in the 6-pole causes a notable delay in the jump.\n", + "\n", + "The effects are very shortlived though, so we're unlikely to notice this until we sample at a high rate and really zoom in.\n", + "At 10kHz, the filters seem unlikely to have a big effect on any currents." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.9" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/tutorial/appendix-a/res/stimulus-filter.zip b/tutorial/appendix/d-filters/res/stimulus-filter.zip similarity index 100% rename from tutorial/appendix-a/res/stimulus-filter.zip rename to tutorial/appendix/d-filters/res/stimulus-filter.zip diff --git a/tutorial/appendix/d-filters/stim-filter-1.ipynb b/tutorial/appendix/d-filters/stim-filter-1.ipynb new file mode 100644 index 0000000..e3a1b75 --- /dev/null +++ b/tutorial/appendix/d-filters/stim-filter-1.ipynb @@ -0,0 +1,603 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "b473031f-6a1b-4177-b1b8-18ff14f37ae2", + "metadata": {}, + "source": [ + "## Two-pole bessel: the stimulus filter\n", + "\n", + "The HEKA EPC-10 uses a second order Bessel filter in its \"stimulus filter\", which is applied to voltage steps to reduce capacitative transients.\n", + "So we'll have a look at this filter in detail.\n", + "\n", + "First, we'll look at it the conventional way: as a low-pass filter over a _periodic_ signal, analysed in terms of its _frequency response_." + ] + }, + { + "cell_type": "markdown", + "id": "025a8499-c97e-4296-ba5f-99f6210fabaf", + "metadata": {}, + "source": [ + "### Frequency response\n", + "\n", + "The standard equation for a 2-pole Bessel is\n", + "\\begin{align}\n", + "H(s) = \\frac{3}{s^2 + 3s + 3}\n", + "\\end{align}\n", + "\n", + "For the _magnitude_ of its frequency response, we find\n", + "\\begin{align}\n", + "|H(i\\phi)| = \\left| \\frac{3}{(i\\phi)^2 + 3i\\phi + 3} \\right| \n", + " = 3 \\left| \\frac{1}{3 - \\phi^2 + 3\\phi i} \\right|\n", + "\\end{align}\n", + "To calculate this, we use\n", + "\\begin{align}\n", + "\\left| \\frac{1}{a + bi} \\right|\n", + " = \\left| \\frac{a - bi}{a^2 + b^2} \\right|\n", + " = \\sqrt{\\frac{a^2 + b^2}{(a^2 + b^2)^2}}\n", + " = \\frac{1}{\\sqrt{a^2 + b^2}}\n", + "\\end{align}\n", + "for\n", + "\\begin{align}\n", + "|H(i\\phi)| = \\frac{3}{\\sqrt{(3 - \\phi^2)^2 + 9\\phi^2}}\n", + " = \\frac{3}{\\sqrt{\\phi^4 + 3\\phi^2 + 9}}\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "be6603e6-b235-4c0e-b07f-0cf8670dca35", + "metadata": {}, + "source": [ + "The frequency at which this filter's gain is $1/\\sqrt(2)$ (the 3dB point) is found from:\n", + "\\begin{align}\n", + "\\frac{3}{\\sqrt{\\phi^4 + 3\\phi^2 + 9}} &= \\frac{1}{\\sqrt{2}} \\\\\n", + "\\sqrt{\\phi^4 + 3\\phi^2 + 9} &= 3\\sqrt{2}\\\\\n", + "\\phi^4 + 3\\phi^2 - 9 &= 0 \\\\\n", + "\\phi^2 = \\frac{-3 \\pm \\sqrt{9 + 4\\cdot9}}{2} &= \\frac{3}{2}\\left(-1 \\pm \\sqrt{5} \\right) \\\\\n", + "\\phi = \\pm \\sqrt{\\frac{3}{2}\\left(-1 \\pm \\sqrt{5} \\right)}\n", + "\\end{align}\n", + "By only allowing real and positive numbers, this becomes a single solution, which we'll call $\\omega_0$:\n", + "\\begin{align}\n", + "\\omega_0 = \\sqrt{\\frac{3}{2}\\left(-1 + \\sqrt{5} \\right)} \\approx 1.36\n", + "\\end{align}\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "7a77efcb-d58d-4ce0-b55a-8f04aebaab4d", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "w = np.linspace(0, 10, 100)\n", + "\n", + "fig = plt.figure(figsize=(12, 3))\n", + "fig.subplots_adjust(hspace=0.2)\n", + "\n", + "# Make a log-log plot, as used in a Bode diagram\n", + "ax = fig.add_subplot(1, 2, 1)\n", + "ax.set_xscale('log')\n", + "ax.set_yscale('log')\n", + "ax.set_ylabel('Gain')\n", + "ax.set_xlabel('Angular frequency (rad/s)')\n", + "ax.grid()\n", + " \n", + "# Plot, letting Numpy work out the absolute value\n", + "ax.plot(w, np.abs(3 / ((w*1j)**2 + 3*(w*1j) + 3)))\n", + " \n", + "# Plot, using the equation we derived\n", + "ax.plot(w, 3 / np.sqrt(w**4 + 3*w**2 + 9), '--')\n", + "\n", + "# Draw lines for w=w0 and gain=1/sqrt(2)\n", + "kw = dict(color='k', lw=1, ls='--')\n", + "ax.axhline(1 / np.sqrt(2), **kw)\n", + "ax.axvline(np.sqrt(3/2 * (np.sqrt(5) - 1)), **kw)\n", + "\n", + "# Show \"negative frequencies\", in an unscaled plot\n", + "w = np.linspace(-10, 10, 100)\n", + "ax = fig.add_subplot(1, 2, 2)\n", + "ax.set_xlabel('Positive and negative frequencies')\n", + "ax.grid()\n", + "ax.plot(w, 3 / np.sqrt(w**4 + 3*w**2 + 9))\n", + "ax.axhline(1 / np.sqrt(2), **kw)\n", + "ax.axvline(np.sqrt(3/2 * (np.sqrt(5) - 1)), **kw)\n", + "ax.axvline(-np.sqrt(3/2 * (np.sqrt(5) - 1)), **kw)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "2bbd7916-2d02-4982-aa38-6cd7d7869e15", + "metadata": {}, + "source": [ + "Now, we scale the filter to place this point at a user-defined cut-off frequency $\\omega_c=10\\,\\text{kHz}=2\\cdot10^4/\\pi\\,\\text{rad}/\\text{s}$:" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "5bf77ab3-a043-4225-adf5-8e6efdf74877", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "w = np.logspace(3, 5.2, 1000)\n", + "w0 = np.sqrt(3 / 2 * (np.sqrt(5) - 1))\n", + "z = w * w0 / (2e4 * np.pi)\n", + "\n", + "fig = plt.figure(figsize=(9, 3))\n", + "ax = fig.add_subplot()\n", + "ax.set_xscale('log')\n", + "ax.set_yscale('log')\n", + "ax.set_ylabel('Gain')\n", + "ax.set_xlabel('Angular frequency (rad/s)')\n", + "ax.grid()\n", + "ax.plot(w, 3 / np.sqrt(z**4 + 3*z**2 + 9))\n", + "kw = dict(color='k', lw=1, ls='--')\n", + "ax.axhline(1 / np.sqrt(2), **kw)\n", + "ax.axvline(2e4 * np.pi, color='r', label='10 kHz')\n", + "ax.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "282f4725-b77b-4d25-87a4-a10d6d442716", + "metadata": {}, + "source": [ + "### Step response and rise time" + ] + }, + { + "cell_type": "markdown", + "id": "58b0cc02-af3d-4433-a6f8-bf21812bfa51", + "metadata": {}, + "source": [ + "The HEKA stimulus filter is described as having a [rise time](https://en.wikipedia.org/wiki/Rise_time) of either 20$\\mu$s or 2$\\mu$s.\n", + "See e.g. the EPC-10 hardware manual:\n", + "\n", + "> Two degrees of filtering, specified as the rise times (time from 10% to 90% of the amplitude of a step change) are available in the\n", + "software: 2 µs, which is the minimum required to avoid non-linearity in the internal circuitry, and 20 µs, which is preferable for all but the fastest measurements, to reduce the capacitive transients\n", + "\n", + "To find the transfer function scalings for these settings, we start by working out the _step response_:\n" + ] + }, + { + "cell_type": "markdown", + "id": "1250c164-88d3-4c0b-8204-db88b9d38816", + "metadata": {}, + "source": [ + "From [Appendix A2](./2-laplace-and-filters) we get the step function and its Laplace transform\n", + "\\begin{align}\n", + "u(t) = \\delta(t) && U(s) = \\frac{1}{s}\n", + "\\end{align}\n", + "for output\n", + "\\begin{align}\n", + "Y(s) = H(s)U(s) = \\frac{3}{s(s^2 + 3s + 3)}\n", + "\\end{align}\n", + "\n", + "To solve this, we split into partial coefficients while keeping the second-order term together:\n", + "\n", + "\\begin{align}\n", + "Y(s) = \\frac{3}{s(s^2 + 3s + 3)} \n", + " = \\frac{A}{s} + \\frac{B + Cs}{s^2 + 3s + 3}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "3 &= A(s^2 + 3s + 3) + Bs + Cs^2 \\\\\n", + " &= (A + C)s^2 + (3A + B)s + 3A\n", + "\\end{align}\n", + "\\begin{align}\n", + "A = 1 && B = -3 && C = -1\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "Y(s) = \\frac{1}{s} + \\frac{-3 - s}{s^2 + 3s + 3}\n", + " = \\frac{1}{s} - \\frac{3 + s}{s^2 + 3s + 3}\n", + "\\end{align}\n", + "\n", + "To save time, we could also have [asked a website](https://www.wolframalpha.com/input?i=partial+fractions+3%2F%28s%28s%5E2+%2B+3s+%2B+3%29%29) or used [SymPy](https://docs.sympy.org/latest/modules/polys/reference.html#sympy.polys.partfrac.apart):" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "f2272c3f-1f19-4018-bf08-e27819d5eb2f", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle - \\frac{s + 3}{s^{2} + 3 s + 3} + \\frac{1}{s}$" + ], + "text/plain": [ + "-(s + 3)/(s**2 + 3*s + 3) + 1/s" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sympy.polys.partfrac import apart\n", + "from sympy.abc import s\n", + "\n", + "apart(3 / (s * (s**2 + 3 * s + 3)))" + ] + }, + { + "cell_type": "markdown", + "id": "cf198535-bb93-4ef0-8a0a-5ff3b2a4fc6e", + "metadata": {}, + "source": [ + "To get the inverse transform, we can write this in pole-zero form:\n", + "\\begin{align}\n", + "Y(s) = \\frac{1}{s} - \\frac{3 + s}{(s + \\sigma - i\\omega)(s + \\sigma + i\\omega)},\n", + "&& \\sigma = 3/2,\n", + "&& \\omega = \\sqrt{3}/2\n", + "\\end{align}\n", + "\n", + "This has the advantage that we can look up the standard solution, e.g. in [Appendix A2](./2-laplace-and-filters)\n", + "\\begin{align}\n", + "F(s) &= \\frac{C_1 + C_2 s}{(s + \\sigma - i\\omega)(s + \\sigma + i\\omega)} \\\\\n", + "f(t) &= \\left( \\frac{C_1 - C_2\\sigma}{\\omega}e^{-\\sigma t} \\sin(\\omega t) + C_2 e^{-\\sigma t} \\cos(\\omega t) \\right) \\theta(t)\n", + "\\end{align}\n", + "\n", + "to find\n", + "\\begin{align}\n", + "y(t) &= \\theta(t) - \\left( \\frac{C_1 - C_2\\sigma}{\\omega}e^{-\\sigma t} \\sin(\\omega t) + C_2 e^{-\\sigma t} \\cos(\\omega t) \\right) \\theta(t) \\\\\n", + "&= \\theta(t) \\left[1 - \\frac{3 - 3/2}{\\sqrt{3}/2}e^{-3/2t} \\sin(\\sqrt{3}/2 t) + e^{-3/2 t} \\cos(\\sqrt{3}/2 t) \\right] \\\\\n", + "&= \\theta(t) \\left[1 - (\\sqrt{3} \\sin(\\sqrt{3}/2 t) + \\cos(\\sqrt{3}/2 t))e^{-3/2t} \\right]\n", + "\\end{align}\n", + "\n", + "Let's plot it:" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "5cf0d88e-a6cf-4abb-b24c-2092a60bd581", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "t = np.linspace(-5, 10, 1000)\n", + "\n", + "def bessel2_step(t):\n", + " theta = 1 * (t >= 0)\n", + " s = np.sqrt(3)\n", + " return theta * (1 - (s * np.sin(s/2*t) + np.cos(s/2*t)) * np.exp(-3/2*t))\n", + "\n", + "y = bessel2_step(t)\n", + "\n", + "fig = plt.figure(figsize=(9, 3))\n", + "fig.subplots_adjust(hspace=0.2)\n", + "ax = fig.add_subplot(1, 2, 1)\n", + "ax.update(dict(xlabel='Time', ylabel='Stimulus'))\n", + "ax.plot(t, y)\n", + "ax = fig.add_subplot(1, 2, 2)\n", + "ax.set_xlabel('Time')\n", + "ax.axhline(1, color='grey', ls='--', lw=1)\n", + "ax.plot(t, y)\n", + "ax.set_xlim(0, 8)\n", + "ax.set_ylim(0.98, 1.02)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "41011a4c-fe8f-41a9-8654-876546e323f6", + "metadata": {}, + "source": [ + "This looks good! And we can see the near lack of overshoot that makes Bessel filters popular.\n", + "\n", + "We can use the equations above to work out the rise time, but it's probably not a lovely expression so we'll just do it numerically:" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "cb51e2bd-e386-4f81-8c78-c6560157c24d", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.2999218750000007 0.10001114060500294\n", + "1.8783203124999999 0.8999978202201413\n" + ] + }, + { + "data": { + "image/png": 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3YaEksgLHr2VBCKC9rzN8XO3ljkNE92GhJLICFdcn+7Rh71Uia8NCSSSBk5MTHn30UTg5OdXJ/isKZU2uT9ZHLiLi8BAiSVxdXTFkyJA62Xfq3Xu4nlUEpQLo1drDanIRURm2KIkkKCkpQUpKCkpKSiy+79/KJxno3MIdrvY1m7auLnMRURkWSiIJsrKysGHDBmRlZVl833E3sgEAvYJr1pqs61xEVIaFkkhmJ5LKCuUjrWpeKImo7rFQEskoq0CDq3cKAQA9gprJHYeIqsBCSSSjuBs5AIB2Ps5o5mQndxwiqgILJZEESqUSjo6OUCot+5E5WXHa1Yzrk3WZi4j+wuEhRBL4+vri3Xfftfh+T5a3KB9pZd5p17rKRUR/4ddQIpkUlWiRmFp21w925CGyXiyURBJkZGRg2bJlyMjIsNg+TyffhVYvEOBmjxbNHK0mFxEZY6EkkkCn0yEnJwc6nc5i+zxxvez6ZI9atCbrIhcRGWOhJJJJfC2vTxJR/WChJJKBXi9wOvkuAKA7x08SWTUWSiIZXMssQL5GC3tbJTr4usgdh4hMYKEkksDDwwMvvfQSPDws0zv1dEpZb9fOzd1gozL/Y2jpXERUGcdREkmgVqvRtm1bi+3vdErZ9cmuge612o+lcxFRZWxREkmQn5+PAwcOID8/3yL7O51Sdn2ySy0LpaVzEVFlLJREEhQUFODgwYMoKCio9b6KS3W4kFZW2GrborRkLiKqmlmF8t69eygqKjI8v3HjBpYuXYp9+/ZZMhtRo5R4KxdavYCXsxrN3R3kjkNED2BWoRw5ciQ2b94MALh79y569eqFL774AiNHjsSqVassnZGoUUkoHxbSNdANCoVC7jhE9ABmFcpTp06hf//+AIDvvvsOvr6+uHHjBjZv3oxly5ZZOiNRo/LHzbIer7U97UpE9cOsQllUVAQXl7KxX/v27cOYMWOgVCrx6KOP4saNGzXa18qVKxEcHAx7e3uEhYXh8OHDJtfXaDSYO3cugoKCoFar0aZNG2zYsMGct0Ekmb29PTp37gx7e/ta7+uvHq+1n2jAkrmIqGpmDQ9p27Ytvv/+e4wePRp79+7F22+/DZRP0Ozq6ip5P9HR0Zg5cyZWrlyJvn37Ys2aNRg2bBjOnTuHli1bVrnN888/j9u3b2P9+vVo27YtMjIyoNVqzXkbRJI1a9YMY8aMqfV+sgo0SMm+BwDo3MLNanIRUfXMalHOmzcP77zzDlq1aoVevXqhd+/eQHnrslu3bpL3ExUVhUmTJmHy5MkICQnB0qVLERgYWO11zj179uDgwYOIiYnBoEGD0KpVK/Ts2RN9+vQx520QSabVapGdnV3rL2Vnym+r1drbCW4OtlaTi4iqZ1ahfPbZZ5GcnIy4uDjs2bPHsPzJJ5/El19+KWkfJSUliI+PR3h4uNHy8PBwHDt2rMptdu/ejR49euDTTz9F8+bN0b59e7zzzju4d+9etcfRaDTIy8szehDV1J07d7B8+XLcuXOnVvs5d6vs7y80oPatSUvmIqLqmT0zj5+fH/z8/IyW9ezZU/L2mZmZ0Ol08PX1NVru6+uL9PT0Kre5du0ajhw5Ant7e+zatQuZmZmYOnUqsrOzq71OuXjxYnz00UeScxHVpT/LW5ShzaVfoiAieZlVKAcOHGiyW/uvv/4qeV9/348Qotp96/V6KBQKfPvtt3BzK/tGHhUVhWeffRZfffUVHBwqj0mLjIzErFmzDM/z8vIQGBgoOR+RJf15q7xQWqhFSUR1z6xC2bVrV6PnpaWlOH36NP78809ERERI2oeXlxdUKlWl1mNGRkalVmYFf39/NG/e3FAkASAkJARCCNy8eRPt2rWrtI1arYZarZb4zojqTm5RqaEjz0MBbFESNRRmFcrqrkMuWLBA8lRadnZ2CAsLQ2xsLEaPHm1YHhsbi5EjR1a5Td++fbF9+3YUFBTA2dkZAHDp0iUolUq0aNHCnLdCVG8S08paky2aOcDd0U7uOEQkkUIIISy1sytXrqBnz57Izs6WtH50dDRefvllrF69Gr1798batWuxbt06JCYmIigoCJGRkUhNTTXMAlRQUICQkBA8+uij+Oijj5CZmYnJkydjwIABWLdunaRj5uXlwc3NDbm5uTUaykJUW+sOXcPHMecxtJMfVr8cJnccoiZPaj2w6G22jh8/XqOBz2PHjkVWVhYWLlyItLQ0hIaGIiYmBkFBQQCAtLQ0JCcnG9Z3dnZGbGwspk2bhh49esDT0xPPP/88Fi1aZMm3QVQnEm+xIw9RQ2RWofz7AGchBNLS0hAXF4cPP/ywRvuaOnUqpk6dWuVrmzZtqrSsY8eOiI2NrWFiotrJzMzE//3f/2HkyJHw8vIyax9/lg8N6WTBjjyWyEVEpplVKO/vTAMASqUSHTp0wMKFCyuNiyRqDEpLS3Hz5k2UlpaatX1RiRZX75Rdv+9kwRZlbXMR0YOZVSg3btxo+SREjdj5tHwIAfi4qOHjwnlZiRoS3riZqB5UXJ/sxGEhRA2O5BZls2bNJN87T2qvV6Km4q8ZeTjRAFFDI7lQLl26tG6TEFkxd3d3jB49Gu7u5t1DMrEOOvJYIhcRPZjkQil1xh2ixsjBwQEPP/ywWduWaPW4dDsfqINTr7XJRUTSmNWZ5/6xjVWp7l6SRA1VYWEhEhMT0alTJzg5OdVo26t3ClCqE3Cxt0GLZpXnI5YrFxFJY1ahbNWqlcnrlTqdrjaZiKxOXl4efv75ZwQGBta4IF1ML2tNdvRzkXydvz5yEZE0ZhXKhIQEo+elpaVISEhAVFQUPv74Y0tlI2oUzqeXXZ/s4OcidxQiMoNZhbJLly6VlvXo0QMBAQH47LPPKs3cQ9SU/dWi5NAQoobIouMo27dvj5MnT1pyl0QN3v2nXomo4TGrRZmXl2f0vGKu1wULFlR5T0iihs7Ozg5t2rSBnV3Nbo+VW1SKtNxiAED7OiiU5uYiIunMKpTu7u6VOiUIIRAYGIht27ZZKhuR1fD09MS4ceNqvN2F8uuTzd0d4GpvazW5iEg6swrl/v37jZ4rlUp4e3ujbdu2sLGx6J27iKyCXq9HaWkpbG1toVRKv2JxoY5Pu5qbi4ikM6uqDRgwwPJJiKzY7du3sXbtWrz22mvw9/eXvJ2hUPrXTaE0NxcRSWd28y81NRVHjx5FRkYG9Hq90WvTp0+3RDaiBu+iYWgIe7wSNVRm32ZrypQpsLOzg6enp9H1SoVCwUJJBECvF+zxStQImFUo582bh3nz5iEyMpLXRYiqkXr3HgpLdLBTKRHsxVlziBoqs6pcUVERXnjhBRZJIhPOp5Wddm3j4wxbFT8rRA2VWZ/eSZMmYfv27ZZPQ2SlfHx88M4778DHx0fyNhWnXUPq8LSrObmIqGbMOvW6ePFiPP3009izZw86d+4MW1vj8WFRUVGWykdkFVQqVY0nHb9Qfmutupzj1ZxcRFQzZhXKTz75BHv37kWHDh2A8g48FSx9dwQia5CdnY29e/diyJAh8PDwkLTNhbS6nwzdnFxEVDNmFcqoqChs2LABEyZMsHwiIiuk0Whw6dIlPP7445LWLy7VISmzEAAQ4l93Q0NqmouIas6sa5RqtRp9+/a1fBqiRuJKRgH0AnB3tIWPi1ruOERUC2YVyhkzZmD58uWWT0PUSFzJKAAAtPex/M2amzqFQoHvv/++Xo85YcIEjBo1ql6PSdbDrEJ54sQJfPPNN2jdujVGjBiBMWPGGD2ImrrLGWUdedr6OssdpcGYMGECFAoFFAoFbGxs0LJlS7zxxhvIyckxWi8tLQ3Dhg2rkwzXr1+HQqHA6dOnjZb/7//+LzZt2lQnx6ypQ4cOYcSIEQgICJD8peHAgQOG3+39jwsXLhjWefzxx6tcZ/jw4YZ1tFotPvjgAwQHB8PBwQGtW7fGwoULK83O1tiYffcQFkRqSlxcXBAeHg4XF2kdcy7fLmtRtvOp20JZ01zWbujQodi4cSO0Wi3OnTuHiRMn4u7du9i6dathHT8/v3rP5ebmVu/HrE5hYSG6dOmCV155Bc8880yNtr148SJcXf+6Zu7t7W34eefOnSgpKTE8z8rKQpcuXfDcc88Zli1ZsgSrV6/GN998g06dOiEuLg6vvPIK3NzcMGPGjFq/N6slmpjc3FwBQOTm5sodhRqxgZ/tF0GzfxSHL92RO0qDERERIUaOHGm0bNasWcLDw8NoGQCxa9cuIYQQGo1GvPnmm8LPz0+o1WoRFBQkPvnkE8O6d+/eFa+++qrw9vYWLi4uYuDAgeL06dPVZgBg9BgwYECV2QYMGCDeeustMWPGDOHu7i58fHzEmjVrREFBgZgwYYJwdnYWrVu3FjExMUb7T0xMFMOGDRNOTk7Cx8dHjBs3Tty5Y/7fyP2/C1P2798vAIicnBzJ+/7yyy+Fi4uLKCgoMCwbPny4mDhxotF6Y8aMEePGjTM8/+qrr0Tbtm2FWq0WPj4+4plnnpF8zPomtR5wuhAiCe7du4fExETcu3fvgetqtDpczyrr8dqujk+91iRXQ3Pt2jXs2bOn0jjt+y1btgy7d+/Gv//9b1y8eBFbtmxBq1atgPJ75A4fPhzp6emIiYlBfHw8unfvjieffBLZ2dlV7u/EiRMAgP/85z9IS0vDzp07qz32N998Ay8vL5w4cQLTpk3DG2+8geeeew59+vTBqVOnMGTIELz88ssoKioCyk8ZDxgwAF27dkVcXBz27NmD27dv4/nnnzfsc9OmTXV6Tbtbt27w9/fHk08+Wel2iX+3fv16vPDCC0bjdPv164dffvkFly5dAgD88ccfOHLkCJ566ikAQFxcHKZPn46FCxfi4sWL2LNnDx577LE6ez/1Rmrl7datm8jOzhZCCNG1a1fRrVu3ah/WjC1KMsetW7fEggULxK1btx647vm0XBE0+0cROn+P0Ov1VpPL2kVERAiVSiWcnJyEvb29oVUXFRVltN79rahp06aJJ554osrf8y+//CJcXV1FcXGx0fI2bdqINWvWVJkhKSlJABAJCQmVsv29RdmvXz/Dc61WK5ycnMTLL79sWJaWliYAiOPHjwshhPjwww9FeHi40X5TUlIEAHHx4kUhhBA7d+4UHTp0kPDbqvy7MOXChQti7dq1Ij4+Xhw7dky88cYbQqFQiIMHD1a5/u+//y4AiN9//91ouV6vF3PmzBEKhULY2NgIhUJh1ILfsWOHcHV1FXl5eZLfg5yk1gPJ1yhHjhwJtVpt+NlS33pWrlyJzz77DGlpaejUqROWLl2K/v37P3C7o0ePYsCAAQgNDa104Z1ITvdfn2SP15oZOHAgVq1ahaKiInz99de4dOkSpk2bVu36EyZMwODBg9GhQwcMHToUTz/9NMLDwwEA8fHxKCgogKenp9E29+7dw9WrV2ud9eGHHzb8rFKp4Onpic6dOxuW+fr6AgAyMjIMefbv3w9n58pnGa5evYr27dtj9OjRGD16dK2z/V2HDh0ME8QAQO/evZGSkoLPP/+8yhbf+vXrERoaip49exotj46OxpYtW/Cvf/0LnTp1wunTpzFz5kwEBAQgIiICgwcPRlBQEFq3bo2hQ4di6NChGD16NBwdHS3+nuqT5EI5f/58w88LFiywyMGjo6Mxc+ZMrFy5En379sWaNWswbNgwnDt3Di1btqx2u9zcXIwfPx5PPvkkbt++bZEsRJZyOaOiUDaODjb1ycnJCW3btgXKT6sOHDgQH330Ef7nf/6nyvW7d++OpKQk/Pzzz/jPf/6D559/HoMGDcJ3330HvV4Pf39/HDhwoNJ27u7utc7691PCCoXCaFnFl6SKHqF6vR4jRozAkiVLKu1LjptuP/roo9iyZUul5UVFRdi2bRsWLlxY6bV3330Xc+bMwQsvvAAA6Ny5M27cuIHFixcjIiICLi4uOHXqFA4cOIB9+/Zh3rx5WLBgAU6ePGmR37lczLpG2bp1a2RlZVVafvfuXbRu3VryfqKiojBp0iRMnjwZISEhWLp0KQIDA7Fq1SqT273++uv4r//6L/Tu3duc+ER16kr50JC6vj7ZFMyfPx+ff/45bt26Ve06rq6uGDt2LNatW4fo6Gjs2LED2dnZ6N69O9LT02FjY4O2bdsaPby8vKrcl52dHQBAp9NZ/L10794diYmJaNWqVaU8cszXm5CQUGWB/ve//w2NRoNx48ZVeq2oqKjSXaNUKpXR8BAbGxsMGjQIn376Kc6cOYPr16/j119/raN3UT/MKpTXr1+v8g9Jo9Hg5s2bkvZRUlKC+Ph4w2mSCuHh4Th27Fi1223cuBFXr141auES1TUbGxv4+fnBxubBJ2EqTr22reOhITXN1RA9/vjj6NSpEz755JMqX//yyy+xbds2XLhwAZcuXcL27dvh5+cHd3d3DBo0CL1798aoUaOwd+9eXL9+HceOHcMHH3yAuLi4Kvfn4+MDBwcHQ0eb3Nxci72XN998E9nZ2XjxxRdx4sQJXLt2Dfv27cPEiRMN/5/u2rULHTt2NLmfgoICnD592nDJKSkpCadPn0ZycrJhncjISIwfP97wfOnSpfj+++9x+fJlJCYmIjIyEjt27MBbb71Vaf/r16/HqFGjKp2yBoARI0bg448/xk8//YTr169j165diIqKMpwu/vHHH7Fs2TKcPn0aN27cwObNm6HX641O+zZENfp07d692/Dz3r17jcYW6XQ6/PLLLwgODpa0r8zMTOh0OsN5/Aq+vr5IT0+vcpvLly9jzpw5OHz4sOT/GDQaDTQajeF5Xl6epO2I7uft7Y3XX3/9geuV6vSGOV7b+db9qVepuRqyWbNm4ZVXXsHs2bMRGBho9JqzszOWLFmCy5cvQ6VS4ZFHHkFMTIyh1RMTE4O5c+di4sSJuHPnDvz8/PDYY49V+n+ngo2NDZYtW4aFCxdi3rx56N+/f5Wnbs0REBCAo0ePYvbs2RgyZAg0Gg2CgoIwdOhQQ97c3FxcvHjR5H7i4uIwcOBAw/NZs2YBACIiIgyTIqSlpRkVzpKSErzzzjtITU2Fg4MDOnXqhJ9++snQW7XCpUuXcOTIEezbt6/KYy9fvhwffvghpk6dioyMDAQEBOD111/HvHnzgPJT2jt37sSCBQtQXFyMdu3aYevWrejUqZPZvzerUJMeQgqFQigUCqFUKg0/Vzzs7OxE+/btxQ8//CBpX6mpqQKAOHbsmNHyRYsWVdnrS6vVih49eohVq1YZls2fP1906dLF5HHmz59faWwUe71SXbl8O18Ezf5RPPThz3Xe45WIaqdOxlHq9Xro9Xq0bNkSGRkZhud6vR4ajQYXL17E008/LWlfXl5eUKlUlVqPGRkZVX7by8/PR1xcHN566y3Y2NjAxsYGCxcuxB9//AEbG5tqz4FHRkYiNzfX8EhJSanJWyYCyr+hL1q0CGlpaSbXq7g+2aaeerxKzUVE5qtRofz999/x888/IykpyXAxfPPmzQgODoaPjw9ee+01o9OcptjZ2SEsLAyxsbFGy2NjY9GnT59K67u6uuLs2bOGc/OnT5/GlClT0KFDB5w+fRq9evWq8jhqtRqurq5GDyJzSOngUZ/XJyvURccTIvpLja5Rzp8/HwMHDjRMSHz27FlMmjQJEyZMQEhICD777DMEBARIHj4ya9YsvPzyy+jRowd69+6NtWvXIjk5GVOmTAHKW4OpqanYvHkzlEolQkNDjbb38fGBvb19peVEcuHQEKLGp0aF8o8//sCiRYsMz7dt24ZevXph3bp1AIDAwEDMnz9fcqEcO3YssrKysHDhQqSlpSE0NBQxMTEICgoCqrggTWTt/iqUHBpC1FjUqFDm5OQYXT88ePAghg4danj+yCOP1Pga4NSpUzF16tQqX3vQbW0WLFhgsckPiGpLpxe4eqe8UHIMJVGjUaNrlL6+vkhKSgLKuxufOnXKaNB/fn6+yQmMiRoqLy8vvPHGG9UOVAeAlOwilGj1UNso0aJZ/UzZJSUXEdVOjQrl0KFDDeMYIyMj4ejoaDQv65kzZ9CmTZu6yEkkK1tbW/j4+Jj8Ilhx2rWNtzNUyvqZ41VKLiKqnRoVykWLFkGlUmHAgAFYt24d1q1bZ5jyCQA2bNhQaaYdosbg7t272L17N+7evVvtOpdlmLpOSi4iqp0aXaP09vbG4cOHkZubC2dnZ6hUKqPXt2/fXuXM+EQN3b1795CQkIBHHnmk2smdr9yu/448UnIRUe2YNUHk/VPX3c/Dw6O2eYgarIpTr205NISoUTFrUnQiMqbXC1zJYI9XosaIhZLIAlLv3sO9Uh1sVQoEeTTsm9QSkTEWSiIJnJyc0Ldv32rvG3ilfPxksJcTbFT197F6UC4iqr3GeRM7IgtzdXXFoEGDqn39r4489Xt98kG5iKj22KIkkkCj0eD69evVTvpfMTSkPidDl5KLiGqPhZJIguzsbHzzzTfIzs6u8vXLMnXkeVAuIqo9FkqiWhJCyHbqlYjqHgslUS3dztMgX6OFSqlAKy/2eCVqbFgoiWqp4vpkkKcj1DaqB65PRA0LCyWRBEqlEi4uLlAqK39kLsswdZ2UXERkGRweQiSBr68vZs2aVeVrf92suf6vT5rKRUSWwa+hRLV0RYa7hhBR/WGhJJLg9u3biIqKwu3bt42WCyFw6fZf96G0llxEZDkslEQS6PV65OfnQ6/XGy3PLChB7r1SKBTyFMrqchGR5bBQEtVCxR1DAps5wsGOPV6JGiMWSqJaMFyflKHHKxHVDxZKolow3KyZHXmIGi0WSiIJPDw8EBERAQ8PD6Pll2Weuq66XERkORxHSSSBWq1Gq1atKi3/awylPC3K6nIRkeWwRUkkQV5eHv7zn/8gLy/PsCynsASZBWW3t2ojU6GsKhcRWRYLJZEEhYWFOHr0KAoLCw3Lrtwpa002d3eAs1qekzNV5SIiy2KhJDJTxdAQuVqTRFQ/WCiJzCTnZOhEVH9YKInMdJljKImaBBZKIgkcHBzQrVs3ODg4GJZVnHqVczL0qnIRkWVxeAiRBO7u7vjHP/5heJ5fXIq03GIAQFtvecZQVpWLiCxP9hblypUrERwcDHt7e4SFheHw4cPVrrtz504MHjwY3t7ecHV1Re/evbF37956zUtNU2lpKTIyMlBaWgrc15r0cVHDzdHWanIRkeXJWiijo6Mxc+ZMzJ07FwkJCejfvz+GDRuG5OTkKtc/dOgQBg8ejJiYGMTHx2PgwIEYMWIEEhIS6j07NS2ZmZlYtWoVMjMzgfsnGpB56rq/5yIiy5O1UEZFRWHSpEmYPHkyQkJCsHTpUgQGBmLVqlVVrr906VK89957eOSRR9CuXTt88sknaNeuHX744Yd6z05N29UMeaeuI6L6I1uhLCkpQXx8PMLDw42Wh4eH49ixY5L2UXEvPlPzXGo0GuTl5Rk9iGrLMBk6e7wSNXqyFcrMzEzodDr4+voaLff19UV6erqkfXzxxRcoLCzE888/X+06ixcvhpubm+ERGBhY6+xEFUNDWCiJGj/ZO/MoFAqj50KISsuqsnXrVixYsADR0dHw8fGpdr3IyEjk5uYaHikpKRbJTU2PSlV2Y+aiEi1u5twDrGQMZUUuIqobsg0P8fLygkqlqtR6zMjIqNTK/Lvo6GhMmjQJ27dvx6BBg0yuq1aroVarLZKZmi5/f3988MEHAIA/U3MhBODhZAdPZ3n/tu7PRUR1Q7YWpZ2dHcLCwhAbG2u0PDY2Fn369Kl2u61bt2LChAn417/+heHDh9dDUiJjhtOu3vK3Jomo7sl66nXWrFn4+uuvsWHDBpw/fx5vv/02kpOTMWXKFKD8tOn48eMN62/duhXjx4/HF198gUcffRTp6elIT09Hbm6ujO+CmoI7d+5gzZo1uHPnDi6klxXKDn7y93i9PxcR1Q1ZZ+YZO3YssrKysHDhQqSlpSE0NBQxMTEICgoCAKSlpRmNqVyzZg20Wi3efPNNvPnmm4blERER2LRpkyzvgZoGrVaL9PR0aLVaXLSiQnl/LiKqG7JPYTd16lRMnTq1ytf+XvwOHDhQT6mIqldRKDtaQaEkorone69XooYkr1hrmOO1PQslUZPAQklUA9eyyopkc3cHuNrLN8crEdUfFkoiCdzd3fHss8/iVlHZc2u4Pon7crm7u8sdhajRYqEkksDBwQGdOnUytCitpVBW5OL9KInqDgslkQQFBQU4fvw4zqXeBayoI09FroKCArmjEDVaLJREEuTn52Pv3n24nFEIWFGLMj8/H/v27UN+fr7cUYgaLRZKIokKhR0KSnSwUSrQ2ouz8hA1FSyURBLliLLrgG28nWFnw48OUVPBTzuRRDn6skJpLaddiah+sFASSaBWq1HiVHZXm04BrnLHMVCr1Wjfvj3vkENUh2Sfwo6oIfDw8ECejRuAIoQ2d5M7joGHhwdefPFFuWMQNWpsURJJkFNQjBtZZbMNWFOLUqfTobCwEDqdTu4oRI0WCyWRBMfOl93Fxt/VDu6OdnLHMcjIyMDnn3+OjIwMuaMQNVoslEQSXMwoa0128HaUOwoR1TMWSiIJDIXSh1PFETU1LJREElwwFEq2KImaGhZKogco1GiRnKMBeOqVqEni8BCiBziXlgcBwNvFDiGtW8gdx4ivry/mzJkDW1veG5OorrBQEj1AQnIOAKBbYDMoldZ1EkapVHKyAaI6Zl2feiIrFH+jrFAqspKQlZUldxwjWVlZ2LJli9XlImpMWCiJTBBCIP5G2T0oVTnJKCkpkTuSkZKSEly9etXqchE1JiyURCbczLmHzAINbJQKeCoL5Y5DRDJgoSQyoeK0awcfB9gohNxxiEgGLJREJlQUys7+vFEzUVPFXq9EJhy/VtZJ5tE23ggIHgZXV+uZEB0AXF1dMWyY9eUiakxYKImqkZ5bjCsZBVAogIEPNYebYyu5I1Xi5OSEnj17yh2DqFHjqVeiahy5kgkAeLi5G+wUWpw5cwb37t2TO5aRe/fuWWUuosaEhZKoGkcu3wEA9G3rhbt372LXrl24e/eu3LGMWGsuosaEhZKoCiVaPX69UHaPxwHtveWOQ0QyYqEkqsLxa1nIK9bCy1mNHq085I5DRDJioSSqws9n0wAAQ0N9oVIq5I5DRDKSvVCuXLkSwcHBsLe3R1hYGA4fPmxy/YMHDyIsLAz29vZo3bo1Vq9eXW9ZqWko0Gjx45myQvlUZ38AgK2tLVq0aGF1d+mw1lxEjYmshTI6OhozZ87E3LlzkZCQgP79+2PYsGFITk6ucv2kpCQ89dRT6N+/PxISEvD+++9j+vTp2LFjR71np8br3ydTUKDRorW3E3q39gQAeHl5YdKkSfDy8pI7nhFrzUXUmCiEELLNy9WrVy90794dq1atMiwLCQnBqFGjsHjx4krrz549G7t378b58+cNy6ZMmYI//vgDx48fl3TMvLw8uLm5ITc3l4O0qZKMvGIMWXoIOUWl+Hh0KF7qFSR3JCKqI1LrgWwTDpSUlCA+Ph5z5swxWh4eHo5jx45Vuc3x48cRHh5utGzIkCFYv349SktLqzz9pNFooNFoDM/z8vJqn12rx4jlR6p8TaD67x3VfSUx9U2luu8xJr/dmHixupdMfV+qfhtTxzHj92DGVzZzcps6VnZRCUq0erT3dcbYHoGG5WlpaVi7di1ee+01+Pv71zxoHbHWXESNiWyFMjMzEzqdDr6+vkbLfX19kZ6eXuU26enpVa6v1WqRmZlZ5X8UixcvxkcffWTR7AICF2/nW3SfZD383eyxbnwP2Khkv4RPRFZA9insFArjHoVCiErLHrR+VcsrREZGYtasWYbneXl5CAwMrHJdqWyVSnw7uVf1GU1tXM2LChNbVffrMHUc079Dc/ZX7StmbFP9ViZzm3Wcmudr6+MMe1tV9TsloiZFtkLp5eUFlUpVqfWYkZFRqdVYwc/Pr8r1bWxs4OnpWeU2arUaarXagskBpVKBvm3ZeYKIqCmQ7dySnZ0dwsLCEBsba7Q8NjYWffr0qXKb3r17V1p/37596NGjB7vHExFRnZC112t0dDRefvllrF69Gr1798batWuxbt06JCYmIigoCJGRkUhNTcXmzZuB8uEhoaGheP311/Hqq6/i+PHjmDJlCrZu3YpnnnlG0jHZ65XModVqkZeXB1dXV9jYyH7FwsBacxE1BFbf6xUAxo4di6ysLCxcuBBpaWkIDQ1FTEwMgoLKuuSnpaUZjakMDg5GTEwM3n77bXz11VcICAjAsmXLJBdJInPZ2NjAw8P6prKz1lxEjYmsLUo5sEVJ5sjJycH+/fsxcOBANGvWTO44Btaai6ghkFoP2P+dSILi4mKcPXsWxcXFckcxYq25iBoTFkoiIiITWCiJiIhMaHLd5CouyVpiKjtqOvLz81FcXIz8/Hw4OTnJHcfAWnMRNQQVdeBBXXWaXGeemzdv1npmHiIiajxSUlLQokWLal9vcoVSr9fj1q1bcHFxMTldmtwqptpLSUlpUL1zG2puMLtsmF0ezF7WkszPz0dAQACUyuqvRDa5U69KpdLkNwdr4+rq2uD+iNGAc4PZZcPs8mjq2d3c3B64DjvzEBERmcBCSUREZAILpZVSq9WYP3++xe98Utcaam4wu2yYXR7MLl2T68xDRERUE2xREhERmcBCSUREZAILJRERkQkslERERCawUDYgGo0GXbt2hUKhwOnTp+WO80DXr1/HpEmTEBwcDAcHB7Rp0wbz589HSUmJ3NGqtHLlSgQHB8Pe3h5hYWE4fPiw3JEeaPHixXjkkUfg4uICHx8fjBo1ChcvXpQ7llkWL14MhUKBmTNnyh1FktTUVIwbNw6enp5wdHRE165dER8fL3esB9Jqtfjggw8Mn8vWrVtj4cKF0Ov1cker5NChQxgxYgQCAgKgUCjw/fffG70uhMCCBQsQEBAABwcHPP7440hMTLR4DhbKBuS9995DQECA3DEku3DhAvR6PdasWYPExER8+eWXWL16Nd5//325o1USHR2NmTNnYu7cuUhISED//v0xbNgwJCcnyx3NpIMHD+LNN9/Eb7/9htjYWGi1WoSHh6OwsFDuaDVy8uRJrF27Fg8//LDcUSTJyclB3759YWtri59//hnnzp3DF198AXd3d7mjPdCSJUuwevVqrFixAufPn8enn36Kzz77DMuXL5c7WiWFhYXo0qULVqxYUeXrn376KaKiorBixQqcPHkSfn5+GDx4MPLz8y0bRFCDEBMTIzp27CgSExMFAJGQkCB3JLN8+umnIjg4WO4YlfTs2VNMmTLFaFnHjh3FnDlzZMtkjoyMDAFAHDx4UO4okuXn54t27dqJ2NhYMWDAADFjxgy5Iz3Q7NmzRb9+/eSOYZbhw4eLiRMnGi0bM2aMGDdunGyZpAAgdu3aZXiu1+uFn5+f+Oc//2lYVlxcLNzc3MTq1astemy2KBuA27dv49VXX8X/+3//D46OjnLHqZXc3Fx4eHjIHcNISUkJ4uPjER4ebrQ8PDwcx44dky2XOXJzcwHA6n7Hprz55psYPnw4Bg0aJHcUyXbv3o0ePXrgueeeg4+PD7p164Z169bJHUuSfv364ZdffsGlS5cAAH/88QeOHDmCp556Su5oNZKUlIT09HSjz61arcaAAQMs/rltcpOiNzRCCEyYMAFTpkxBjx49cP36dbkjme3q1atYvnw5vvjiC7mjGMnMzIROp4Ovr6/Rcl9fX6Snp8uWq6aEEJg1axb69euH0NBQueNIsm3bNpw6dQonT56UO0qNXLt2DatWrcKsWbPw/vvv48SJE5g+fTrUajXGjx8vdzyTZs+ejdzcXHTs2BEqlQo6nQ4ff/wxXnzxRbmj1UjFZ7Oqz+2NGzcseiy2KGWyYMECKBQKk4+4uDgsX74ceXl5iIyMlDuygdTs97t16xaGDh2K5557DpMnT5Ytuyl/v+2aEMKqb8X2d2+99RbOnDmDrVu3yh1FkpSUFMyYMQNbtmyBvb293HFqRK/Xo3v37vjkk0/QrVs3vP7663j11VexatUquaM9UHR0NLZs2YJ//etfOHXqFL755ht8/vnn+Oabb+SOZpb6+NyyRSmTt956Cy+88ILJdVq1aoVFixbht99+qzSnYY8ePfDSSy/J8sctNXuFW7duYeDAgejduzfWrl1bDwlrxsvLCyqVqlLrMSMjo9K3VWs1bdo07N69G4cOHWowt5GLj49HRkYGwsLCDMt0Oh0OHTqEFStWQKPRQKVSyZqxOv7+/njooYeMloWEhGDHjh2yZZLq3XffxZw5cwyf4c6dO+PGjRtYvHgxIiIi5I4nmZ+fH1DesvT39zcsr4vPLQulTLy8vODl5fXA9ZYtW4ZFixYZnt+6dQtDhgxBdHQ0evXqVccpqyY1O8q70A8cOBBhYWHYuHGjyZujysXOzg5hYWGIjY3F6NGjDctjY2MxcuRIWbM9iBAC06ZNw65du3DgwAEEBwfLHUmyJ598EmfPnjVa9sorr6Bjx46YPXu21RZJAOjbt2+lYTiXLl1CUFCQbJmkKioqqvQ5VKlUVjk8xJTg4GD4+fkhNjYW3bp1A8r7Gxw8eBBLliyx7MEs2jWI6lxSUlKD6fWampoq2rZtK5544glx8+ZNkZaWZnhYm23btglbW1uxfv16ce7cOTFz5kzh5OQkrl+/Lnc0k9544w3h5uYmDhw4YPT7LSoqkjuaWRpKr9cTJ04IGxsb8fHHH4vLly+Lb7/9Vjg6OootW7bIHe2BIiIiRPPmzcWPP/4okpKSxM6dO4WXl5d477335I5WSX5+vkhISBAJCQkCgIiKihIJCQnixo0bQggh/vnPfwo3Nzexc+dOcfbsWfHiiy8Kf39/kZeXZ9EcLJQNTEMqlBs3bhQAqnxYo6+++koEBQUJOzs70b179wYxxKK63+/GjRvljmaWhlIohRDihx9+EKGhoUKtVouOHTuKtWvXyh1Jkry8PDFjxgzRsmVLYW9vL1q3bi3mzp0rNBqN3NEq2b9/f5V/3xEREUKUDxGZP3++8PPzE2q1Wjz22GPi7NmzFs/B22wRERGZYH0XjIiIiKwICyUREZEJLJREREQmsFASERGZwEJJRERkAgslERGRCSyUREREJrBQEjVSCxYsQNeuXeWOQdTgccIBogboQXdHiIiIMEws7unpWW+5iBojFkqiBuj+O51ER0dj3rx5RpN0Ozg4wM3NTaZ0RI0LT70SNUB+fn6Gh5ubGxQKRaVlfz/1OmHCBIwaNQqffPIJfH194e7ujo8++gharRbvvvsuPDw80KJFC2zYsMHoWKmpqRg7diyaNWsGT09PjBw5skHfQJyoplgoiZqQX3/9Fbdu3cKhQ4cQFRWFBQsW4Omnn0azZs3w+++/Y8qUKZgyZQpSUlKA8lsyDRw4EM7Ozjh06BCOHDkCZ2dnDB06FCUlJXK/HaJ6wUJJ1IR4eHhg2bJl6NChAyZOnIgOHTqgqKgI77//Ptq1a4fIyEjY2dnh6NGjAIBt27ZBqVTi66+/RufOnRESEoKNGzciOTkZBw4ckPvtENUL3riZqAnp1KmT0U17fX19ERoaaniuUqng6emJjIwMAEB8fDyuXLkCFxcXo/0UFxfj6tWr9ZicSD4slERNiK2trdFzhUJR5bKKu93r9XqEhYXh22+/rbQvb2/vOk5LZB1YKImoWt27d0d0dDR8fHzg6uoqdxwiWfAaJRFV66WXXoKXlxdGjhyJw4cPIykpCQcPHsSMGTNw8+ZNueMR1QsWSiKqlqOjIw4dOoSWLVtizJgxCAkJwcSJE3Hv3j22MKnJ4IQDREREJrBFSUREZAILJRERkQkslERERCawUBIREZnAQklERGQCCyUREZEJLJREREQmsFASERGZwEJJRERkAgslERGRCSyUREREJrBQEhERmfD/AU/Zvqp6hVtCAAAAAElFTkSuQmCC", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from scipy.optimize import fmin\n", + "t10 = fmin(lambda x: (bessel2_step(x) - 0.1)**2, 0.1, disp=False)[0]\n", + "t90 = fmin(lambda x: (bessel2_step(x) - 0.9)**2, 2, disp=False)[0]\n", + "print(t10, bessel2_step(t10))\n", + "print(t90, bessel2_step(t90))\n", + "fig = plt.figure(figsize=(5, 3))\n", + "ax = fig.add_subplot()\n", + "ax.update(dict(xlabel='Time', ylabel='Stimulus'))\n", + "ax.axvline(t10, color='grey', ls='--', lw=1)\n", + "ax.axvline(t90, color='grey', ls='--', lw=1)\n", + "ax.plot(t, y)\n", + "ax.text(4, 0.4, f'Rise time: {t90 - t10:.4}s')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "3f4b2b36-dfb5-4147-b978-b8f3a0f2d251", + "metadata": {}, + "source": [ + "To emulate a rise time of 20$\\mu$s, we scale $t$:" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "27ab72c2-4304-4024-9dc1-6434d26ce6b3", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.0038124999999999843 0.10029671636557969\n", + "0.0238125 0.8996055239892486\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "t = np.linspace(-0.05, 0.1, 1000)\n", + "\n", + "def bessel2_step(t, x):\n", + " theta = 1 * (t >= 0)\n", + " s = np.sqrt(3)\n", + " t = t / 2 * x\n", + " return theta * (1 - (s * np.sin(s*t) + np.cos(s*t)) * np.exp(-3*t))\n", + "\n", + "f = 78.8\n", + "y = bessel2_step(t, f)\n", + "\n", + "t10 = fmin(lambda x: (bessel2_step(x, f) - 0.1)**2, 0.01, disp=False)[0]\n", + "t90 = fmin(lambda x: (bessel2_step(x, f) - 0.9)**2, 0.02, disp=False)[0]\n", + "print(t10, bessel2_step(t10, f))\n", + "print(t90, bessel2_step(t90, f))\n", + "\n", + "fig = plt.figure(figsize=(5, 3))\n", + "ax = fig.add_subplot()\n", + "ax.update(dict(xlabel='Time (ms)', ylabel='Stimulus'))\n", + "ax.axvline(t10, color='grey', ls='--', lw=1)\n", + "ax.axvline(t90, color='grey', ls='--', lw=1)\n", + "ax.plot(t, y)\n", + "ax.text(0.04, 0.4, f'Rise time: {t90 - t10:.4}ms')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "ec352afe-15bf-47c6-b807-08dda17e8432", + "metadata": {}, + "source": [ + "### Does this match what we measure?\n", + "\n", + "The HEKA EPC-9 has a [paper describing its hardware](), which contains a nice block diagram (Fig 1).\n", + "This shows us that\n", + "\n", + "1. The stimulus filter is applied to the command potential before any other additions (e.g. Cm and Rs compensation)\n", + "2. The \"V monitor\" is read directly from the stimulus filter output, again without any interference from other components.\n", + "\n", + "As a result, we should be able to see the effects of the stimulus filter on a recorded \"V monitor\" signal.\n", + "Here's a recording made using an EPC-10:" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "28bc68e8-3152-428e-b7ae-56f030c1a6bb", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import myokit\n", + "d = myokit.DataLog.load('./res/stimulus-filter.zip')\n", + "d = d.npview()\n", + "\n", + "fig = plt.figure(figsize=(5, 3))\n", + "fig.subplots_adjust(0.14, 0.15, 0.96, 0.98)\n", + "ax = fig.add_subplot()\n", + "ax.set_xlabel('Time (ms)')\n", + "ax.set_ylabel('Command voltage (mV)')\n", + "\n", + "ax.plot(d.time(), d['v20us'], 's-', label='Recording')\n", + "\n", + "t = d.time()\n", + "y = -100 + 200 * bessel2_step(t - 1, 78.8)\n", + "ax.plot(t, y, label=r'Rise time 20$\\mu$s')\n", + "y = -100 + 200 * bessel2_step(t - 1, 78.8 / 2)\n", + "ax.plot(t, y, label=r'Tweaked 40$\\mu$s')\n", + "\n", + "ax.legend()\n", + "ax.set_xlim(0.9, 1.15)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "bf5acb58-1e78-45f5-87f3-ec480feb2cd1", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.03943750000000005\n" + ] + } + ], + "source": [ + "f = 40\n", + "t10 = fmin(lambda x: (bessel2_step(x, f) - 0.1)**2, 0.01, disp=False)[0]\n", + "t90 = fmin(lambda x: (bessel2_step(x, f) - 0.9)**2, 0.02, disp=False)[0]\n", + "assert abs(bessel2_step(t10, f) - 0.1) < 1e-2\n", + "assert abs(bessel2_step(t90, f) - 0.9) < 1e-2\n", + "print(t90 - t10)" + ] + }, + { + "cell_type": "markdown", + "id": "ca357231-a3f2-45e0-9b7e-75f55db23f4e", + "metadata": {}, + "source": [ + "It seems the rise time is roughly twice what is advertised." + ] + }, + { + "cell_type": "markdown", + "id": "e3a94057-262f-4645-a459-dd9d21ef64a9", + "metadata": {}, + "source": [ + "### Can we use a first order approximation for the stimulus filter?\n", + "\n", + "The 2-pole Bessel was easy enough to implement, but having 2 state variables is maybe a bit over the top.\n", + "What does it look like if we approximate with a single-order filter?" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "b20cbe38-3107-4f0a-86a2-c0cb4a15588c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def y(t, tau):\n", + " t[t < 0] = 0\n", + " return 100 + (-100 - 100) * np.exp(-t / tau)\n", + "\n", + "tau = fmin(lambda tau: np.sum((y(d.time() - 1, tau) - d['v20us'])**2), 0.02, disp=False)[0]\n", + "\n", + "fig = plt.figure(figsize=(5, 3))\n", + "fig.subplots_adjust(0.14, 0.15, 0.96, 0.98)\n", + "ax = fig.add_subplot()\n", + "ax.set_xlabel('Time (ms)')\n", + "ax.set_ylabel('Command voltage (mV)')\n", + "\n", + "ax.axvline(1 + t10, color='grey', lw=1, ls='--')\n", + "ax.axvline(1 + t90, color='grey', lw=1, ls='--')\n", + "ax.plot(d.time(), d['v20us'], 's-', label='Recording')\n", + "\n", + "t = np.linspace(0, 2, 2000)\n", + "ax.plot(t, y(t - 1, tau), label=f'tau={tau:.4}')\n", + "ax.legend(loc=(1.1, 0.5))\n", + "ax.set_xlim(0.99, 1.15)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "8f698264-d3a8-4e93-b5cb-798f51e241c7", + "metadata": {}, + "source": [ + "This is not far off at all, and any discrepancies only last for 0.1ms. Compared to e.g. fast-capacitance compensation, it is unlikely that approximating as first order will cause any problems." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.9" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/tutorial/appendix/d-filters/stim-filter-2.ipynb b/tutorial/appendix/d-filters/stim-filter-2.ipynb new file mode 100644 index 0000000..dfbfc44 --- /dev/null +++ b/tutorial/appendix/d-filters/stim-filter-2.ipynb @@ -0,0 +1,164 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "a40adc02-4047-49e0-bdbd-c68959058f02", + "metadata": {}, + "source": [ + "Bessel 2-pole low pass\n", + "\n", + "To convert this to a system of first-order ODEs, we choose $y_2 = y$ and $y_1 = \\dot{y}$ to find\n", + "\\begin{align}\n", + "\\dot{y_1} &= 3(u(t) - y_2 - y_1) \\\\\n", + "\\dot{y_2} &= y_1\n", + "\\end{align}\n", + "Note that $y = y_2(t)$ here is the final variable of interest, representing the filter's output.\n" + ] + }, + { + "cell_type": "markdown", + "id": "c5000893-6a52-4e11-998d-19aef6087219", + "metadata": {}, + "source": [ + "Next, we make it tuneable by adding a scaling factor:\n", + "\n", + "\\begin{align}\n", + "H(s) = \\frac{3}{(\\alpha s)^2 + 3\\alpha s + 3}\n", + "\\end{align}\n", + "for\n", + "\\begin{align}\n", + "\\ddot{y}(t) = \\frac{3}{\\alpha^2} u(t) - \\frac{3}{\\alpha^2} y(t) - \\frac{3}{\\alpha} \\dot{y}(t)\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "679080a3-8e44-491b-b65e-396365fb5bca", + "metadata": {}, + "source": [ + "This means we can set $\\alpha$ using a cut-off frequency $f_c$ (in Hz) as:\n", + "\n", + "\\begin{align}\n", + "\\alpha = \\frac{1.3616}{2 \\pi f_c}\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "ee27af92-acc7-4003-8534-b164049ebb9d", + "metadata": {}, + "source": [ + "We can also relate this to the first-order rise time, by setting it to the same cut-off frequency:\n", + "\n", + "\\begin{align}\n", + "\\alpha = \\frac{1.3616}{2 \\pi f_c} = \\frac{1.3616}{2 \\pi \\log(9) / (2 \\pi t_r)} = \\frac{1.3616}{\\log(9)}t_r\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "62121ad3-18da-43f3-9f14-34517251ad1d", + "metadata": {}, + "source": [ + "This lets us compare 1st and 2nd order filters with the recordings from an EPC-10 again (see [appendix A4](./4-bessel-filters.ipynb)):" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "06745c87-9c2a-46e2-ae20-2d84f00a0ff5", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
    " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "np.float64(0.018204784532536746)" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Load the \"20us\" data, which appears to have a rise time of 40us instead\n", + "d0 = myokit.DataLog.load('./res/stimulus-filter.zip')\n", + "d0 = d0.npview()\n", + "\n", + "m = myokit.parse_model(\"\"\"\n", + "[[model]]\n", + "filter.y1 = 0\n", + "filter.y2 = 0\n", + "filter.y3 = 0\n", + "\n", + "[filter]\n", + "pace = 0 bind pace\n", + "time = 0 bind time\n", + "tr = 0.04 [ms] in [ms]\n", + "# Second-order\n", + "a2 = tr * 1.3616 / log(9)\n", + " in [ms]\n", + "dot(y1) = 3 * (pace/a2^2 - y2/a2^2 - y1/a2)\n", + "dot(y2) = y1\n", + "# First-order\n", + "a1 = tr / log(9)\n", + " in [ms]\n", + "dot(y3) = (pace - y3) / a1\n", + "\"\"\")\n", + "\n", + "p = myokit.Protocol()\n", + "p.add_step(level=-100, duration=1)\n", + "p.add_step(level=100, duration=10)\n", + "\n", + "s = myokit.Simulation(m, p)\n", + "s.pre(1)\n", + "d1 = s.run(2, log_interval=1e-3).npview()\n", + "\n", + "fig = plt.figure(figsize=(5, 3))\n", + "fig.subplots_adjust(0.14, 0.15, 0.96, 0.98)\n", + "ax = fig.add_subplot()\n", + "ax.set_xlabel('Time (ms)')\n", + "ax.set_ylabel('Command voltage (mV)')\n", + "ax.plot(d0.time(), d0['v20us'], 's-', label='Recording')\n", + "ax.plot(d1.time(), d1['filter.y2'], label=f'Simulation, n=2, tr=40 us')\n", + "ax.plot(d1.time(), d1['filter.y3'], label=f'Simulation, n=1, tr=40 us')\n", + "ax.legend()\n", + "ax.set_xlim(0.99, 1.15)\n", + "plt.show()\n", + "\n", + "m.get('filter.a1').eval()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.9" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/tutorial/appendix-a/6-stimulus-filter.ipynb b/tutorial/appendix/d-filters/stim-filter-3.ipynb similarity index 100% rename from tutorial/appendix-a/6-stimulus-filter.ipynb rename to tutorial/appendix/d-filters/stim-filter-3.ipynb diff --git a/tutorial/appendix-d/3-liquid-junction-potential.ipynb b/tutorial/appendix/e-offsets/1-liquid-junction-potential.ipynb similarity index 98% rename from tutorial/appendix-d/3-liquid-junction-potential.ipynb rename to tutorial/appendix/e-offsets/1-liquid-junction-potential.ipynb index c0e621a..3eeffaa 100644 --- a/tutorial/appendix-d/3-liquid-junction-potential.ipynb +++ b/tutorial/appendix/e-offsets/1-liquid-junction-potential.ipynb @@ -4,8 +4,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Appendix D3: Liquid junction potential\n", - "**Appendix D discusses remaining noise and errors**" + "# E1: Liquid junction potential" ] }, { @@ -250,7 +249,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.13.11" + "version": "3.13.9" } }, "nbformat": 4, diff --git a/tutorial/appendix-d/4-offset-correction.ipynb b/tutorial/appendix/e-offsets/2-offset-correction.ipynb similarity index 98% rename from tutorial/appendix-d/4-offset-correction.ipynb rename to tutorial/appendix/e-offsets/2-offset-correction.ipynb index c040238..4779133 100644 --- a/tutorial/appendix-d/4-offset-correction.ipynb +++ b/tutorial/appendix/e-offsets/2-offset-correction.ipynb @@ -4,9 +4,13 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Appendix D4: Handling voltage offsets\n", - "**Appendix D discusses remaining noise and errors**\n", - "\n", + "# E2: Handling voltage offsets" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ "Following on from the Appendix on the liquid junction potential (LJP), this notebook discusses how to deal with the LJP and other offsets when fitting models or otherwise analysing experimental data.\n", "\n", "Because everybody gets confused about the sign conventions, we'll go through this excruciatingly slowly.\n", @@ -243,7 +247,7 @@ "source": [ "## Case B: A priori LJP correction\n", "\n", - "Some other day." + "**To be added at a later date**" ] } ], @@ -263,7 +267,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.13.11" + "version": "3.13.9" } }, "nbformat": 4, diff --git a/tutorial/appendix-d/img/ljp-1-increase.png b/tutorial/appendix/e-offsets/img/ljp-1-increase.png similarity index 100% rename from tutorial/appendix-d/img/ljp-1-increase.png rename to tutorial/appendix/e-offsets/img/ljp-1-increase.png diff --git a/tutorial/appendix-d/img/ljp-2-electrode.png b/tutorial/appendix/e-offsets/img/ljp-2-electrode.png similarity index 100% rename from tutorial/appendix-d/img/ljp-2-electrode.png rename to tutorial/appendix/e-offsets/img/ljp-2-electrode.png diff --git a/tutorial/appendix-d/img/ljp-3-ljp.png b/tutorial/appendix/e-offsets/img/ljp-3-ljp.png similarity index 100% rename from tutorial/appendix-d/img/ljp-3-ljp.png rename to tutorial/appendix/e-offsets/img/ljp-3-ljp.png diff --git a/tutorial/appendix-d/img/ljp-4-vm.png b/tutorial/appendix/e-offsets/img/ljp-4-vm.png similarity index 100% rename from tutorial/appendix-d/img/ljp-4-vm.png rename to tutorial/appendix/e-offsets/img/ljp-4-vm.png diff --git a/tutorial/appendix-d/img/ljp-5-correction.png b/tutorial/appendix/e-offsets/img/ljp-5-correction.png similarity index 100% rename from tutorial/appendix-d/img/ljp-5-correction.png rename to tutorial/appendix/e-offsets/img/ljp-5-correction.png diff --git a/tutorial/appendix-c/1-symbols.ipynb b/tutorial/appendix/z-parameters/1-symbols.ipynb similarity index 100% rename from tutorial/appendix-c/1-symbols.ipynb rename to tutorial/appendix/z-parameters/1-symbols.ipynb diff --git a/tutorial/appendix-c/2-parameter-defaults.ipynb b/tutorial/appendix/z-parameters/2-parameter-defaults.ipynb similarity index 100% rename from tutorial/appendix-c/2-parameter-defaults.ipynb rename to tutorial/appendix/z-parameters/2-parameter-defaults.ipynb diff --git a/tutorial/appendix-c/3-parameter-values.ipynb b/tutorial/appendix/z-parameters/3-parameter-values.ipynb similarity index 100% rename from tutorial/appendix-c/3-parameter-values.ipynb rename to tutorial/appendix/z-parameters/3-parameter-values.ipynb From 6102e53f6a67f0c85e0785a8fb1d8b571062d2cb Mon Sep 17 00:00:00 2001 From: Michael Clerx Date: Mon, 23 Mar 2026 22:47:06 +0000 Subject: [PATCH 2/3] Worked param defaults notebook into tour. Moved symbols notebook to main. --- tutorial/README.md | 24 +++-- ...-values.ipynb => 1-parameter-values.ipynb} | 5 +- .../z-parameters/2-parameter-defaults.ipynb | 95 ------------------- .../1-symbols.ipynb => symbols.ipynb} | 5 +- tutorial/tour.ipynb | 17 +++- 5 files changed, 36 insertions(+), 110 deletions(-) rename tutorial/appendix/z-parameters/{3-parameter-values.ipynb => 1-parameter-values.ipynb} (99%) delete mode 100644 tutorial/appendix/z-parameters/2-parameter-defaults.ipynb rename tutorial/{appendix/z-parameters/1-symbols.ipynb => symbols.ipynb} (97%) diff --git a/tutorial/README.md b/tutorial/README.md index a747278..4346f61 100644 --- a/tutorial/README.md +++ b/tutorial/README.md @@ -37,13 +37,23 @@ In the final notebook, we derive simplified models and compare with previous wor --- -## Appendices +## Names and symbols + +[![github](./img/github.svg)](./symbols.ipynb) +[![nbviewer](./img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/symbols.ipynb) + +A table of all symbols, their meanings, and names used in other publications. + +## Parameter values + +[![github](./img/github.svg)](./tour.ipynb) +[![nbviewer](./img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/tour.ipynb) -Finally, there are several appendices: +Default parameter values, and comments on how to reparameterise the model, are given in the Model Tour. + +--- + +## Appendices -- [Appendix A](./appendix-a/README.md) adds details on electronics and filters. -- [Appendix B](./appendix-b/README.md) looks at details of the model derivation. -- [Appendix C](./appendix-c/README.md) provides default parameter values, and amplifier-specific ones. -- [Appendix D](./appendix-d/README.md) discusses remaining sources of error. -- [Appendix E](./appendix-e/README.md) looks at Rs and Cm estimates. +Finally, there are [several appendices](./appendix), which provide background on electronics and details of the model derivation. diff --git a/tutorial/appendix/z-parameters/3-parameter-values.ipynb b/tutorial/appendix/z-parameters/1-parameter-values.ipynb similarity index 99% rename from tutorial/appendix/z-parameters/3-parameter-values.ipynb rename to tutorial/appendix/z-parameters/1-parameter-values.ipynb index 3dfb26b..d50149f 100644 --- a/tutorial/appendix/z-parameters/3-parameter-values.ipynb +++ b/tutorial/appendix/z-parameters/1-parameter-values.ipynb @@ -5,8 +5,7 @@ "id": "44ff9bab", "metadata": {}, "source": [ - "# Appendix C3: Parameter values\n", - "**Appendix C discusses variable names and values**" + "# Z1: Parameter values" ] }, { @@ -344,7 +343,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.13.11" + "version": "3.13.9" } }, "nbformat": 4, diff --git a/tutorial/appendix/z-parameters/2-parameter-defaults.ipynb b/tutorial/appendix/z-parameters/2-parameter-defaults.ipynb deleted file mode 100644 index 4fce183..0000000 --- a/tutorial/appendix/z-parameters/2-parameter-defaults.ipynb +++ /dev/null @@ -1,95 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "fc24dbb4", - "metadata": {}, - "source": [ - "# Appendix C2: Default parameter values\n", - "**Appendix C discusses variable names and values**" - ] - }, - { - "cell_type": "markdown", - "id": "e184af6f", - "metadata": {}, - "source": [ - "Here we present the \"default\" values used in these notebooks.\n", - "Other choices are possible." - ] - }, - { - "cell_type": "markdown", - "id": "3e6bd67d", - "metadata": {}, - "source": [ - "## Basic model\n", - "\n", - "| Parameter | Value | Motivation |\n", - "|:----------|:--------------|:-------------------------------------------------------------|\n", - "| $R_s$ | 5 M$\\Omega$ | A 3$\\Omega$ pipette with an additional 2$\\Omega$ at the seal |\n", - "| $C_m$ | 25 pF | A small cell such as a HEK or CHO cell |\n", - "| $C_p$ | 5 pF | Based on own experience |\n", - "| $R_f$ | 0.5 G$\\Omega$ | Similar to HEKA, Axon, and Sutter |\n", - "| $C_f$ | 0.15 pF | Similar to HEKA |\n", - "| $\\tau_a$ | 13e-6 ms | Fit to data |\n", - "\n", - "Values are rounded to reflect uncertainty in the true values.7" - ] - }, - { - "cell_type": "markdown", - "id": "482bff5f", - "metadata": {}, - "source": [ - "## Model with compensation\n", - "\n", - "\n", - "| Parameter | Value | Motivation |\n", - "|:-----------------|:----------|:--------------------------|\n", - "| $\\tilde{C}_f$ | 5e-3 pF | Fit to data |\n", - "| $\\alpha$ | 0.7 | Typical setting |\n", - "| $\\beta$ | 0.7 | Typical setting |\n", - "| $\\tau_\\text{RC}$ | 0.01 ms | Default for HEKA and Axon |\n", - "\n", - "Estimates for $R_s$, $C_m$, and $C_p$ are set at or near their true values" - ] - }, - { - "cell_type": "markdown", - "id": "92f0e461", - "metadata": {}, - "source": [ - "## Filter settings\n", - "\n", - "| Parameter | Value | Meaning | Motivation |\n", - "|:--------------|:---------|:-------------------------------------|-----------------|\n", - "| $\\tau_s$ slow | 0.025 ms | Stimulus filter time constant \"20us\" | Fit to data |\n", - "| $\\tau_s$ fast | 0.003 ms | Stimulus filter time constant \"2us\" | Fit to data |\n", - "| $f_{c1}$ | 10 kHz | F1 cut-off frequency | Typical setting |\n", - "| $f_{c2}$ | 10 kHz | F2 cut-off frequency | Typical setting |" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.13.9" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorial/appendix/z-parameters/1-symbols.ipynb b/tutorial/symbols.ipynb similarity index 97% rename from tutorial/appendix/z-parameters/1-symbols.ipynb rename to tutorial/symbols.ipynb index 0beeb71..63d9d69 100644 --- a/tutorial/appendix/z-parameters/1-symbols.ipynb +++ b/tutorial/symbols.ipynb @@ -5,8 +5,7 @@ "id": "d0146af1", "metadata": {}, "source": [ - "# Appendix C1: Names & symbols\n", - "**Appendix C discusses variable names and values**" + "# Names & symbols" ] }, { @@ -91,7 +90,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.13.2" + "version": "3.13.9" } }, "nbformat": 4, diff --git a/tutorial/tour.ipynb b/tutorial/tour.ipynb index ef4bc03..732019c 100644 --- a/tutorial/tour.ipynb +++ b/tutorial/tour.ipynb @@ -71,6 +71,10 @@ "| $\\beta$ | - | Fraction of $R_s$ prediction, read from amplifier | 0.7 |\n", "| $E^\\dagger_\\text{off}$ | mV | Remaining voltage offset after zeroing | 0 mV |\n", "\n", + "The $C_m$ value corresponds to a small cell, e.g. a HEK or CHO cell.\n", + "\n", + "The $R_s$ value corresponds to a 3M$\\Omega$ pipette, with an additional 3M$\\Omega$ resistance at the seal.\n", + "\n", "In a simple simulation $E^\\dagger_\\text{off}$ is chosen by the user.\n", "In inference settings it may be a parameter inferred from the data." ] @@ -215,10 +219,13 @@ "\n", "To estimate $\\tau_s$ in a real amplifier, you can record the filtered output voltage and fit to it.\n", "The value above corresponds to the \"slow\" (default) setting on a HEKA EPC-10.\n", + "The value for the \"fast\" setting is 0.003ms.\n", "\n", "To estimate $\\tau_o$, you can use $\\tau_o \\approx \\frac{1}{2 \\pi f}$, where $f$ is the filter's cut-off frequency in kHz.\n", "\n", - "Note that exact values of $\\tau_s$ and $\\tau_o$ are seldom crucial." + "Note that exact values of $\\tau_s$ and $\\tau_o$ are seldom crucial.\n", + "\n", + "The given $R_f$ value is typical for Axon, HEKA, and Sutter." ] }, { @@ -313,6 +320,12 @@ "\n", "The given values of $\\tilde{C}_f$ and $\\tau_a$ were estimated by fitting to model cell experiments with a Heka EPC-10." ] + }, + { + "cell_type": "markdown", + "id": "a2d6e221-86bb-4cf6-8312-27731f56caaf", + "metadata": {}, + "source": [] } ], "metadata": { @@ -331,7 +344,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.13.12" + "version": "3.13.9" } }, "nbformat": 4, From 21714e5f4234b9c1eff2f76cfef55ed131d4624a Mon Sep 17 00:00:00 2001 From: Michael Clerx Date: Mon, 23 Mar 2026 23:24:10 +0000 Subject: [PATCH 3/3] Updated readmes --- tutorial/README.md | 46 ++++---- tutorial/appendix/README.md | 106 ++++++++++-------- ...dels.ipynb => 3-resulting-vc-models.ipynb} | 0 tutorial/tour.ipynb | 6 - 4 files changed, 80 insertions(+), 78 deletions(-) rename tutorial/appendix/b-op-amps/{3-uncompensated-models.ipynb => 3-resulting-vc-models.ipynb} (100%) diff --git a/tutorial/README.md b/tutorial/README.md index 4346f61..954b83b 100644 --- a/tutorial/README.md +++ b/tutorial/README.md @@ -6,54 +6,46 @@ The initial exposition draws on a book chapter by [Sigworth (1995a)](https://doi To view the notebooks, use the GitHub or nbviewer links below, or clone the repository and run Jupyter notebook locally. Running locally will require the dependencies from `requirements.txt`. -A list of references and further reading is provided [here](./references.ipynb). +[↩ Back to the main repository](https://github.com/CardiacModelling/VoltageClampModel) -[↩ Back to the main repository](https://github.com/CardiacModelling/VoltageClampModel-new) - -## Modelling patch-clamp experiments +## 1. Modelling patch-clamp experiments [![github](./img/github.svg)](./1-modelling-patch-clamp.ipynb) -[![nbviewer](./img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/1-modelling-patch-clamp.ipynb) +[![nbviewer](./img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel/tree/main/tutorial/1-modelling-patch-clamp.ipynb) The first notebook describes the uncompensated patch-clamp set up, and derives an ODE model from the electrical schematics. -## Modelling electronic compensation +## 2. Modelling electronic compensation [![github](./img/github.svg)](./2-compensation.ipynb) -[![nbviewer](./img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/2-compensation.ipynb) +[![nbviewer](./img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel/tree/main/tutorial/2-compensation.ipynb) The model is updated to include the compensation circuitry commonly used in patch-clamp amplifiers. -## Simulating a manual patch clamp experiment +## 3. Simulating a manual patch clamp experiment [![github](./img/github.svg)](./3-simulations.ipynb) -[![nbviewer](./img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/3-simulations.ipynb) +[![nbviewer](./img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel/tree/main/tutorial/3-simulations.ipynb) We walk through and simulate the early steps of a manual patch-clamp experiment. -## Simplified models +## 4. Simplified models [![github](./img/github.svg)](./4-simplifications.ipynb) -[![nbviewer](./img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/4-simplifications.ipynb) +[![nbviewer](./img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel/tree/main/tutorial/4-simplifications.ipynb) In the final notebook, we derive simplified models and compare with previous work. ---- - -## Names and symbols - -[![github](./img/github.svg)](./symbols.ipynb) -[![nbviewer](./img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/symbols.ipynb) - -A table of all symbols, their meanings, and names used in other publications. - -## Parameter values - -[![github](./img/github.svg)](./tour.ipynb) -[![nbviewer](./img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/tour.ipynb) +## Resources -Default parameter values, and comments on how to reparameterise the model, are given in the Model Tour. +- [![github](./img/github.svg)](./symbols.ipynb) + [![nbviewer](./img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel/tree/main/tutorial/symbols.ipynb) + **Names and symbols** A table of all symbols, their meanings, and names used in other publications. ---- +- [![github](./img/github.svg)](./tour.ipynb) + [![nbviewer](./img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel/tree/main/tutorial/tour.ipynb) + **Default parameter values** and comments on how to reparameterise the model, are given in the Model Tour. -## Appendices +- [![github](./img/github.svg)](./references.ipynb) + [![nbviewer](./img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel/tree/main/tutorial/references.ipynb) + **References** and further reading. Finally, there are [several appendices](./appendix), which provide background on electronics and details of the model derivation. diff --git a/tutorial/appendix/README.md b/tutorial/appendix/README.md index 928a590..0be92d2 100644 --- a/tutorial/appendix/README.md +++ b/tutorial/appendix/README.md @@ -1,53 +1,69 @@ -# Voltage Clamp (VC) model Appendices +# Voltage Clamp (VC) Model Tutorial Appendices -The tutorials come with appendices, which provide either necessary background or technical details for the main text. - -## A: Laplace transforms and frequency response - -1. The Laplace transform [![github](../img/github.svg)](2-laplace-and-filters.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/appendix-a/2-laplace-and-filters.ipynb), and -2. its use in analysing a dynamical system's frequency response. - -## B: Op-amps in the VC model - -1. Ideal op amps [![github](../img/github.svg)](1-op-amp.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/appendix-a/1-op-amp.ipynb) -2. Models of an op amp with a finite speed -3. VC models based on different op-amp models - -## C: Bessel filters - -3. Non-ideal op amps [![github](../img/github.svg)](3-non-ideal-op-amp.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/appendix-a/3-non-ideal-op-amp.ipynb) -4. Bessel low-pass filters [![github](../img/github.svg)](4-bessel-filters.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/appendix-a/4-bessel-filters.ipynb) -5. Bessel filter ODEs [![github](../img/github.svg)](5-bessel-filter-odes.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/appendix-a/5-bessel-filter-odes.ipynb) -6. Stimulus filter [![github](../img/github.svg)](6-stimulus-filter.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/appendix-a/6-stimulus-filter.ipynb) - - - -# Appendix D: Remaining noise and errors - -1. Strategies for dealing with experimental error [![github](../img/github.svg)](1-strategies.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/1-strategies.ipynb) -2. Stochastic and periodic noise [![github](../img/github.svg)](2-inspecting-noise.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/2-inspecting-noise.ipynb) -3. Liquid junction potential [![github](../img/github.svg)](3-liquid-junction-potential.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/3-liquid-junction-potential.ipynb) -4. Handling voltage offsets [![github](../img/github.svg)](4-offset-correction.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/4-offset-correction.ipynb) -5. Leak (unfinished) [![github](../img/github.svg)](5-leak-correction.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/5-leak-correction.ipynb) -6. Handling remaining capacitance artefacts (unfinished) [![github](../img/github.svg)](6-remaining-Cp-artefacts.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/6-remaining-Cp-artefacts.ipynb) +These appendices provide background or technical details that did not fit the main text. [↩ Back to the tutorial index](../README.md) -# Z: Parameter names and values - -1. Names & symbols [![github](../img/github.svg)](1-symbols.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/appendix-c/1-symbols.ipynb) -2. Default parameter values used in examples [![github](../img/github.svg)](2-parameter-defaults.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/appendix-c/2-parameter-defaults.ipynb) -3. Parameter values, estimates for different amplifiers etc. [![github](../img/github.svg)](3-parameter-values.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel-new/tree/main/tutorial/appendix-c/3-parameter-values.ipynb) - -[↩ Back to the tutorial index](../README.md) - - - - - - +## A: Laplace transforms and frequency response +1. [![github](../img/github.svg)](./a-laplace/1-laplace-transforms.ipynb) + [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel/tree/main/tutorial/appendix/a-laplace/1-laplace-transforms.ipynb) + The Laplace transform +2. [![github](../img/github.svg)](./a-laplace/2-frequency-response) + [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel/tree/main/tutorial/appendix/a-laplace/2-frequency-response.ipynb) + Analysing a dynamical system's frequency response +## B: Op-amps in the VC model +1. [![github](../img/github.svg)](./b-op-amps/1-op-amp.ipynb) + [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel/tree/main/tutorial/appendix/b-op-amps/1-op-amp.ipynb) + Ideal op amps +2. [![github](../img/github.svg)](./b-op-amps/2-non-ideal-op-amp.ipynb) + [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel/tree/main/tutorial/appendix/b-op-amps/2-non-ideal-op-amp.ipynb) + Models of an op amp with a finite speed +3. [![github](../img/github.svg)](./b-op-amps/3-resulting-vc-models.ipynb) + [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel/tree/main/tutorial/appendix/b-op-amps/3-resulting-vc-models.ipynb) + VC models based on different op-amp models + +## C: Series resistance compensation + +1. [![github](../img/github.svg)](./c-rs/1-compensation-prediction.ipynb) + [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel/tree/main/tutorial/appendix/c-rs/1-compensation-prediction.ipynb) + Correction-prediction ODEs +2. [![github](../img/github.svg)](./c-rs/2-rs-cm-one-shot.ipynb) + [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel/tree/main/tutorial/appendix/c-rs/2-rs-cm-one-shot.ipynb) + One-shot Rs and Cm estimation +3. [![github](../img/github.svg)](./c-rs/3-rs-cm-iterative.ipynb) + [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel/tree/main/tutorial/appendix/c-rs/3-rs-cm-iterative.ipynb) + Iterative Rs and Cm estimation + +## D: Bessel filters + +1. [![github](../img/github.svg)](./d-filters/1-bessel-filters-laplace.ipynb) + [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel/tree/main/tutorial/appendix/d-filters/1-bessel-filters-laplace.ipynb) + Bessel low-pass filters in the Laplace domain +2. [![github](../img/github.svg)](./d-filters/2-bessel-filters-ode.ipynb) + [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel/tree/main/tutorial/appendix/d-filters/2-bessel-filters-ode.ipynb) + Bessel low-pass filters in ODE form +3. [![github](../img/github.svg)](./d-filters/3-bessel-filter-ode-summary.ipynb) + [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel/tree/main/tutorial/appendix/d-filters/3-bessel-filter-ode-summary.ipynb) + Summary of ODE forms +4. [![github](../img/github.svg)](./d-filters/4-stimulus-filter.ipynb) + [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel/tree/main/tutorial/appendix/d-filters/4-stimulus-filter.ipynb) + The stimulus filter + +## E: Voltage offsets + +1. [![github](../img/github.svg)](./e-offsets/1-liquid-junction-potential.ipynb) + [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel/tree/main/tutorial/appendix/e-offsets/1-liquid-junction-potential.ipynb) + Liquid junction potential +2. [![github](../img/github.svg)](./e-offsets/2-offset-correction.ipynb) + [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel/tree/main/tutorial/appendix/e-offsets/2-offset-correction.ipynb) + Offset correction + +## Z: Parameter values + +1. [![github](../img/github.svg)](./z-parameters/1-parameter-values.ipynb) + [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/VoltageClampModel/tree/main/tutorial/appendix/z-parameters/1-parameter-values.ipynb) + Parameter value estimates from the literature and from different manufacturers -[↩ Back to the tutorial index](../README.md) diff --git a/tutorial/appendix/b-op-amps/3-uncompensated-models.ipynb b/tutorial/appendix/b-op-amps/3-resulting-vc-models.ipynb similarity index 100% rename from tutorial/appendix/b-op-amps/3-uncompensated-models.ipynb rename to tutorial/appendix/b-op-amps/3-resulting-vc-models.ipynb diff --git a/tutorial/tour.ipynb b/tutorial/tour.ipynb index 732019c..7e26c79 100644 --- a/tutorial/tour.ipynb +++ b/tutorial/tour.ipynb @@ -320,12 +320,6 @@ "\n", "The given values of $\\tilde{C}_f$ and $\\tau_a$ were estimated by fitting to model cell experiments with a Heka EPC-10." ] - }, - { - "cell_type": "markdown", - "id": "a2d6e221-86bb-4cf6-8312-27731f56caaf", - "metadata": {}, - "source": [] } ], "metadata": {