結果

問題 No.1744 Selfish Spies 1 (à la Princess' Perfectionism)
ユーザー kotamanegikotamanegi
提出日時 2021-11-14 21:38:27
言語 C++17(clang)
(17.0.6 + boost 1.83.0)
結果
AC  
実行時間 294 ms / 5,000 ms
コード長 8,765 bytes
コンパイル時間 2,733 ms
コンパイル使用メモリ 129,760 KB
実行使用メモリ 10,964 KB
最終ジャッジ日時 2023-08-20 06:18:08
合計ジャッジ時間 6,139 ms
ジャッジサーバーID
(参考情報)
judge11 / judge14
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
4,376 KB
testcase_01 AC 2 ms
4,380 KB
testcase_02 AC 1 ms
4,376 KB
testcase_03 AC 2 ms
4,380 KB
testcase_04 AC 2 ms
4,376 KB
testcase_05 AC 2 ms
4,380 KB
testcase_06 AC 1 ms
4,376 KB
testcase_07 AC 2 ms
4,376 KB
testcase_08 AC 1 ms
4,380 KB
testcase_09 AC 2 ms
4,380 KB
testcase_10 AC 2 ms
4,376 KB
testcase_11 AC 2 ms
4,376 KB
testcase_12 AC 4 ms
4,384 KB
testcase_13 AC 3 ms
4,376 KB
testcase_14 AC 5 ms
4,380 KB
testcase_15 AC 6 ms
4,376 KB
testcase_16 AC 19 ms
4,376 KB
testcase_17 AC 54 ms
4,376 KB
testcase_18 AC 19 ms
4,376 KB
testcase_19 AC 2 ms
4,384 KB
testcase_20 AC 2 ms
4,376 KB
testcase_21 AC 3 ms
4,376 KB
testcase_22 AC 4 ms
4,376 KB
testcase_23 AC 3 ms
4,380 KB
testcase_24 AC 44 ms
4,536 KB
testcase_25 AC 9 ms
4,376 KB
testcase_26 AC 22 ms
4,380 KB
testcase_27 AC 32 ms
4,380 KB
testcase_28 AC 266 ms
10,944 KB
testcase_29 AC 23 ms
4,376 KB
testcase_30 AC 23 ms
4,376 KB
testcase_31 AC 17 ms
4,376 KB
testcase_32 AC 18 ms
4,380 KB
testcase_33 AC 291 ms
10,868 KB
testcase_34 AC 291 ms
10,956 KB
testcase_35 AC 246 ms
10,904 KB
testcase_36 AC 284 ms
10,956 KB
testcase_37 AC 291 ms
10,964 KB
testcase_38 AC 294 ms
10,912 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

#line 2 "library/bits/stdc++.h"

// C
#ifndef _GLIBCXX_NO_ASSERT
#include <cassert>
#endif
#include <cctype>
#include <cerrno>
#include <cfloat>
#include <ciso646>
#include <climits>
#include <clocale>
#include <cmath>
#include <csetjmp>
#include <csignal>
#include <cstdarg>
#include <cstddef>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <ctime>

#if __cplusplus >= 201103L
#include <ccomplex>
#include <cfenv>
#include <cinttypes>
#include <cstdbool>
#include <cstdint>
#include <ctgmath>
#include <cwchar>
#include <cwctype>
#endif

// C++
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <exception>
#include <fstream>
#include <functional>
#include <iomanip>
#include <ios>
#include <iosfwd>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <locale>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <stdexcept>
#include <streambuf>
#include <string>
#include <typeinfo>
#include <utility>
#include <valarray>
#include <vector>

#if __cplusplus >= 201103L
#include <array>
#include <atomic>
#include <chrono>
#include <condition_variable>
#include <forward_list>
#include <future>
#include <initializer_list>
#include <mutex>
#include <random>
#include <ratio>
#include <regex>
#include <scoped_allocator>
#include <system_error>
#include <thread>
#include <tuple>
#include <typeindex>
#include <type_traits>
#include <unordered_map>
#include <unordered_set>
#endif
#line 2 "Contests/yukicoder_/6681/main.cpp"
using namespace std;

typedef string::const_iterator State;
#define eps 1e-8L
#define MAX_MOD 1000000007LL
#define GYAKU 500000004LL
#define MOD 998244353LL
#define pb push_back
#define mp make_pair
typedef long long ll;
typedef long double ld;
#define REP(a, b) for (long long(a) = 0; (a) < (b); ++(a))
#define ALL(x) (x).begin(), (x).end()

#line 1 "library/atcoder/maxflow.hpp"



#line 5 "library/atcoder/maxflow.hpp"
#include <cassert>
#line 9 "library/atcoder/maxflow.hpp"

#line 1 "library/atcoder/internal_queue.hpp"



#line 5 "library/atcoder/internal_queue.hpp"

namespace atcoder {

namespace internal {

template <class T> struct simple_queue {
    std::vector<T> payload;
    int pos = 0;
    void reserve(int n) { payload.reserve(n); }
    int size() const { return int(payload.size()) - pos; }
    bool empty() const { return pos == int(payload.size()); }
    void push(const T& t) { payload.push_back(t); }
    T& front() { return payload[pos]; }
    void clear() {
        payload.clear();
        pos = 0;
    }
    void pop() { pos++; }
};

}  // namespace internal

}  // namespace atcoder


#line 11 "library/atcoder/maxflow.hpp"

namespace atcoder {

template <class Cap> struct mf_graph {
  public:
    mf_graph() : _n(0) {}
    explicit mf_graph(int n) : _n(n), g(n) {}

    int add_edge(int from, int to, Cap cap) {
        assert(0 <= from && from < _n);
        assert(0 <= to && to < _n);
        assert(0 <= cap);
        int m = int(pos.size());
        pos.push_back({from, int(g[from].size())});
        int from_id = int(g[from].size());
        int to_id = int(g[to].size());
        if (from == to) to_id++;
        g[from].push_back(_edge{to, to_id, cap});
        g[to].push_back(_edge{from, from_id, 0});
        return m;
    }

    struct edge {
        int from, to;
        Cap cap, flow;
    };

    edge get_edge(int i) {
        int m = int(pos.size());
        assert(0 <= i && i < m);
        auto _e = g[pos[i].first][pos[i].second];
        auto _re = g[_e.to][_e.rev];
        return edge{pos[i].first, _e.to, _e.cap + _re.cap, _re.cap};
    }
    std::vector<edge> edges() {
        int m = int(pos.size());
        std::vector<edge> result;
        for (int i = 0; i < m; i++) {
            result.push_back(get_edge(i));
        }
        return result;
    }
    void change_edge(int i, Cap new_cap, Cap new_flow) {
        int m = int(pos.size());
        assert(0 <= i && i < m);
        assert(0 <= new_flow && new_flow <= new_cap);
        auto& _e = g[pos[i].first][pos[i].second];
        auto& _re = g[_e.to][_e.rev];
        _e.cap = new_cap - new_flow;
        _re.cap = new_flow;
    }

    Cap flow(int s, int t) {
        return flow(s, t, std::numeric_limits<Cap>::max());
    }
    Cap flow(int s, int t, Cap flow_limit) {
        assert(0 <= s && s < _n);
        assert(0 <= t && t < _n);
        assert(s != t);

        std::vector<int> level(_n), iter(_n);
        internal::simple_queue<int> que;

        auto bfs = [&]() {
            std::fill(level.begin(), level.end(), -1);
            level[s] = 0;
            que.clear();
            que.push(s);
            while (!que.empty()) {
                int v = que.front();
                que.pop();
                for (auto e : g[v]) {
                    if (e.cap == 0 || level[e.to] >= 0) continue;
                    level[e.to] = level[v] + 1;
                    if (e.to == t) return;
                    que.push(e.to);
                }
            }
        };
        auto dfs = [&](auto self, int v, Cap up) {
            if (v == s) return up;
            Cap res = 0;
            int level_v = level[v];
            for (int& i = iter[v]; i < int(g[v].size()); i++) {
                _edge& e = g[v][i];
                if (level_v <= level[e.to] || g[e.to][e.rev].cap == 0) continue;
                Cap d =
                    self(self, e.to, std::min(up - res, g[e.to][e.rev].cap));
                if (d <= 0) continue;
                g[v][i].cap += d;
                g[e.to][e.rev].cap -= d;
                res += d;
                if (res == up) return res;
            }
            level[v] = _n;
            return res;
        };

        Cap flow = 0;
        while (flow < flow_limit) {
            bfs();
            if (level[t] == -1) break;
            std::fill(iter.begin(), iter.end(), 0);
            Cap f = dfs(dfs, t, flow_limit - flow);
            if (!f) break;
            flow += f;
        }
        return flow;
    }

    std::vector<bool> min_cut(int s) {
        std::vector<bool> visited(_n);
        internal::simple_queue<int> que;
        que.push(s);
        while (!que.empty()) {
            int p = que.front();
            que.pop();
            visited[p] = true;
            for (auto e : g[p]) {
                if (e.cap && !visited[e.to]) {
                    visited[e.to] = true;
                    que.push(e.to);
                }
            }
        }
        return visited;
    }

  private:
    int _n;
    struct _edge {
        int to, rev;
        Cap cap;
    };
    std::vector<std::pair<int, int>> pos;
    std::vector<std::vector<_edge>> g;
};

}  // namespace atcoder


#line 17 "Contests/yukicoder_/6681/main.cpp"
using namespace atcoder;

#define int long long
void solve()
{
  int n, m, l;
  cin >> n >> m >> l;
  vector<pair<int, int>> edges;
  REP(i, l)
  {
    int a, b;
    cin >> a >> b;
    a--;
    b--;
    edges.push_back({a, b});
  }

  mf_graph<int> main_graph(n + m + 2);
  REP(i, l)
  {
    main_graph.add_edge(edges[i].first, n + edges[i].second, 1);
  }
  REP(i, n)
  {
    main_graph.add_edge(n + m, i, 1);
  }
  REP(i, m)
  {
    main_graph.add_edge(n + i, n + m + 1, 1);
  }
  int expected_value = main_graph.flow(n + m, n + m + 1);
  vector<bool> ans(l, true);
  REP(i, l)
  {
    if (main_graph.get_edge(i).flow == 0)
    {
      continue;
    }
    assert(main_graph.get_edge(i).flow == 1);
    assert(main_graph.get_edge(l + edges[i].first).flow == 1);
    assert(main_graph.get_edge(l + n + edges[i].second).flow == 1);
    main_graph.change_edge(i, 0, 0);
    main_graph.change_edge(l + edges[i].first, 1, 0);
    main_graph.change_edge(l + n + edges[i].second, 1, 0);
    if (main_graph.flow(n + m, n + m + 1) == 1)
    {
      main_graph.change_edge(i, 1, 0);
    }
    else
    {
      main_graph.change_edge(i, 1, 1);
      main_graph.change_edge(l + edges[i].first, 1, 1);
      main_graph.change_edge(l + n + edges[i].second, 1, 1);
      ans[i] = false;
    }
  }
  REP(i, l)
  {
    if (ans[i] == true)
    {
      cout << "Yes" << endl;
    }
    else
    {
      cout << "No" << endl;
    }
  }
}
#undef int

// generated by oj-template v4.7.2
// (https://github.com/online-judge-tools/template-generator)
int main()
{
  // Fasterize input/output script
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
  cout << fixed << setprecision(100);
  // scanf/printf user should delete this fasterize input/output script

  int t = 1;
  // cin >> t; // comment out if solving multi testcase
  for (int testCase = 1; testCase <= t; ++testCase)
  {
    solve();
  }
  return 0;
}
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