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BOJ. Round Trip From City To City (17412)

[Link] https://www.acmicpc.net/problem/17412


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#include <algorithm>
#include <iostream>
#include <vector>
#include <map>
#include <set>
#include <queue>
#include <cstring>
#include <stack>
#include <cmath>
// #include <bits/stdc++.h>
using namespace std;
#define for0(i, n) for(int i = 0; i < n; i++)
#define for1(i, n) for(int i = 1; i < n; i++)
#define fori(s, e) for(int i = s; i < e; i++)
#define ll long long
#define endl "\n"
#define nulls '\0'
#define dkdk " "
const int MAX = 5e5 + 1;
const int INF = 987654321;

int n, p, flow_tot;
vector<vector<int>> adj;
vector<vector<int>> capacity;
vector<vector<int>> flow;

void edmonds_karp() {
  // vector<int> prev(n+1);
  queue<int> q;
  while(true) {
    vector<int> prev(n+1, -1);
    q.push(1);
    while(!q.empty()) {
      int cur = q.front(); q.pop();
      for(int next: adj[cur]) {
        if(prev[next] == -1 && capacity[cur][next] - flow[cur][next] > 0) {
          prev[next] = cur;
          q.push(next);
          if(next == 2) break;
        }
      }
    }
    if(prev[2] == -1) break;
    int min_flow = INF;
    for(int i = 2; i != 1; i = prev[i]) min_flow = min(min_flow, capacity[prev[i]][i] - flow[prev[i]][i]);
    for(int i = 2; i != 1; i = prev[i]) {
      flow[prev[i]][i] += min_flow;
      flow[i][prev[i]] -= min_flow;
    }
    flow_tot += min_flow;
  }
}

int main(int argc, char *argv[]) {
  cin >> n >> p;
  adj.resize(n+1);
  flow.resize(n+1); for0(i, n+1) flow[i].resize(n+1);
  capacity.resize(n+1); for0(i, n+1) capacity[i].resize(n+1);
  for0(i, p) {
    int from, to; cin >> from >> to;
    adj[from].push_back(to);
    adj[to].push_back(from);
    capacity[from][to] = 1;
  }
  edmonds_karp();
  cout << flow_tot;
  return 0;
}
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