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DistanceQueries.cpp
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89 lines (77 loc) · 1.87 KB
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//Distance Queries - https://cses.fi/problemset/task/1135
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int MOD = 1e9 + 7;
const ll INF = 1e18;
void solve() {
int n, q;
cin >> n >> q;
vector<vector<int>> g(n);
for (int i = 0; i < n - 1; i++) {
int u, v;
cin >> u >> v;
u--, v--;
g[u].push_back(v);
g[v].push_back(u);
}
vector<int> parent(n), dist(n, 0);
function<void(int, int, int)> dfs = [&](int u, int p, int d) {
parent[u] = p;
dist[u] = d;
for (auto &v: g[u]) {
if (v == p) continue;
dfs(v, u, d + 1);
}
};
dfs(0, 0, 0);
const int LOG = 25;
vector<vector<int>> up(LOG, vector<int>(n));
for (int i = 0; i < n; i++) {
up[0][i] = parent[i];
}
for (int i = 1; i < LOG; i++) {
for (int j = 0; j < n; j++) {
up[i][j] = up[i - 1][up[i - 1][j]];
}
}
auto get_lca = [&](int u, int v) -> int {
if (dist[u] < dist[v]) {
swap(u, v);
}
for (int i = LOG - 1; i >= 0; i--) {
if (dist[u] - (1 << i) >= dist[v]) {
u = up[i][u];
}
}
if (u == v) {
return u;
}
for (int i = LOG - 1; i >= 0; i--) {
if (up[i][u] != up[i][v]) {
u = up[i][u];
v = up[i][v];
}
}
return parent[u];
};
auto get_dist = [&](int u, int v) -> int {
return dist[u] + dist[v] - 2 * dist[get_lca(u, v)];
};
for (int i = 0; i < q; i++) {
int a, b;
cin >> a >> b;
a--, b--;
cout << get_dist(a, b) << '\n';
}
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int T = 1;
// cin >> T;
while (T--) {
solve();
}
return 0;
}