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ford_fulkerson.cpp
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160 lines (128 loc) · 3.82 KB
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#pragma GCC optimize("Ofast")
#pragma GCC target("avx,avx2,fma")
#include <bits/stdc++.h>
//#include <ext/pb_ds/assoc_container.hpp> //required
//#include <ext/pb_ds/tree_policy.hpp> //required
//using namespace __gnu_pbds; //required
using namespace std;
//template <typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
// ordered_set <int> s;
// s.find_by_order(k); returns the (k+1)th smallest element
// s.order_of_key(k); returns the number of elements in s strictly less than k
#define pb push_back
#define mp(x,y) make_pair(x,y)
#define all(x) x.begin(), x.end()
#define print(vec,l,r) for(int i = l; i <= r; i++) cout << vec[i] <<" "; cout << endl;
#define input(vec,N) for(int i = 0; i < (N); i++) cin >> vec[i];
#define leftmost_bit(x) (63-__builtin_clzll(x))
#define rightmost_bit(x) __builtin_ctzll(x) // count trailing zeros
#define set_bits(x) __builtin_popcountll(x)
#define pow2(i) (1LL << (i))
#define is_on(x, i) ((x) & pow2(i)) // state of the ith bit in x
#define set_on(x, i) ((x) | pow2(i)) // returns integer x with ith bit on
#define set_off(x, i) ((x) & ~pow2(i)) // returns integer x with ith bit off
#ifdef LOCAL_DEBUG
#define debug(...) logger(#__VA_ARGS__, __VA_ARGS__)
#else
#define debug(...) ;
#endif
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
// auto dist = uniform_int_distribution<int>(l, r);
// use int a = dist(rng) to get a random number between [l,r] inclusive
template<typename ...Args>
void logger(string vars, Args&&... values) {
cerr << vars << " = ";
string delim = "";
(..., (cerr << delim << values, delim = ", "));
cerr << endl;
}
typedef long long int ll;
typedef long double ld;
const int MOD = 1e9+7; // 998244353;
const int MX = 2e5+5;
const ll INF = 1e18; // not too close to LLONG_MAX
const ld PI = acos((ld)-1);
const ld EPS = 1e-8;
const int dx[4] = {1,0,-1,0}, dy[4] = {0,1,0,-1}; // for every grid problem!!
// highly risky #defines
#define int ll // disable when you want to make code a bit faster
#define endl '\n' // disable when dealing with interactive problems
typedef vector<int> vi;
typedef pair<int, int> pii;
// https://atcoder.jp/contests/abc205/submissions/23534523
// Learnt from: https://www.youtube.com/watch?v=K1i-wP82Zdo
// Time Complexity is O(F * V^2), use when flow edges are of capacity is 1 but it also works when capacity is more
// https://pastebin.com/SLf6Kjbf
class FordFulkerson{
public:
int n;
vector<bool> vis;
vector<vi> adj, cap;
int src, sink;
FordFulkerson(int n = 0){
vis.assign(n, false);
adj.resize(n);
cap.assign(n, vi(n, 0));
this->n = n;
src = sink = -1;
}
void set_src(int src){
this->src = src;
}
void set_sink(int sink){
this->sink = sink;
}
void add_edge(int from, int to, int edge_cap){
adj[from].pb(to);
adj[to].pb(from);
cap[from][to] += edge_cap;
}
int dfs(int cur, int min_cost){
vis[cur] = true;
if(cur == sink){
return min_cost;
}
for(int ne: adj[cur]){
if(vis[ne] || cap[cur][ne] == 0) continue;
int cur_min = min(min_cost, cap[cur][ne]);
int t = dfs(ne, cur_min);
if(t > 0){
cap[cur][ne] -= t;
cap[ne][cur] += t;
return t;
}
}
return 0; // no path found
}
int getMaxFlow(){
assert(src != sink);
int ans = 0;
int sent = -1;
while(sent != 0){
vis.assign(n, false);
sent = dfs(src, INF);
ans += sent;
}
return ans;
}
};
void solve(){
// code starts from here
}
clock_t startTime;
double getCurrentTime() {
return (double)(clock() - startTime) / CLOCKS_PER_SEC;
}
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
//startTime = clock();
// mt19937_64 rnd(time(NULL));
int T = 1;
cin >> T;
while(T--){
solve();
}
//cerr << getCurrentTime() << endl;
return 0;
}