#857414 (C++17) No.2263 Perms

• 問題: No.2263 Perms
• ユーザー: rniya
• 提出日時: 2023-04-07 22:11:23
• 言語: C++17 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 4 ms / 2,000 ms
• コード長: 4,619 bytes
• コンパイル時間: 2,439 ms
• コンパイル使用メモリ: 219,108 KB
• 実行使用メモリ: 5,248 KB
• 最終ジャッジ日時: 2024-10-02 19:41:37
• 合計ジャッジ時間: 3,949 ms
• ジャッジサーバーID （参考情報）: judge1 / judge2

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	2 ms; 5,248 KB
testcase_01	AC	2 ms; 5,248 KB
testcase_02	AC	2 ms; 5,248 KB
testcase_03	AC	2 ms; 5,248 KB
testcase_04	AC	2 ms; 5,248 KB
testcase_05	AC	2 ms; 5,248 KB
testcase_06	AC	3 ms; 5,248 KB
testcase_07	AC	3 ms; 5,248 KB
testcase_08	AC	2 ms; 5,248 KB
testcase_09	AC	4 ms; 5,248 KB
testcase_10	AC	3 ms; 5,248 KB
testcase_11	AC	3 ms; 5,248 KB
testcase_12	AC	3 ms; 5,248 KB
testcase_13	AC	4 ms; 5,248 KB
testcase_14	AC	4 ms; 5,248 KB
testcase_15	AC	4 ms; 5,248 KB
testcase_16	AC	2 ms; 5,248 KB
testcase_17	AC	3 ms; 5,248 KB
testcase_18	AC	2 ms; 5,248 KB
testcase_19	AC	2 ms; 5,248 KB
testcase_20	AC	3 ms; 5,248 KB
testcase_21	AC	3 ms; 5,248 KB
testcase_22	AC	3 ms; 5,248 KB
testcase_23	AC	2 ms; 5,248 KB
testcase_24	AC	2 ms; 5,248 KB
testcase_25	AC	3 ms; 5,248 KB
testcase_26	AC	3 ms; 5,248 KB
testcase_27	AC	2 ms; 5,248 KB
testcase_28	AC	2 ms; 5,248 KB
testcase_29	AC	2 ms; 5,248 KB
testcase_30	AC	2 ms; 5,248 KB
testcase_31	AC	2 ms; 5,248 KB
testcase_32	AC	2 ms; 5,248 KB
testcase_33	AC	2 ms; 5,248 KB
testcase_34	AC	2 ms; 5,248 KB
testcase_35	AC	2 ms; 5,248 KB
testcase_36	AC	2 ms; 5,248 KB
testcase_37	AC	2 ms; 5,248 KB
testcase_38	AC	3 ms; 5,248 KB
testcase_39	AC	2 ms; 5,248 KB
testcase_40	AC	2 ms; 5,248 KB

ソースコード

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define ALL(x) (x).begin(), (x).end()
#ifdef LOCAL
#include <debug.hpp>
#else
#define debug(...) void(0)
#endif
template <typename T> istream& operator>>(istream& is, vector<T>& v) {
    for (T& x : v) is >> x;
    return is;
}
template <typename T> ostream& operator<<(ostream& os, const vector<T>& v) {
    for (size_t i = 0; i < v.size(); i++) {
        os << v[i] << (i + 1 == v.size() ? "" : " ");
    }
    return os;
}

template <typename T> T gcd(T x, T y) { return y != 0 ? gcd(y, x % y) : x; }
template <typename T> T lcm(T x, T y) { return x / gcd(x, y) * y; }

int topbit(signed t) { return t == 0 ? -1 : 31 - __builtin_clz(t); }
int topbit(long long t) { return t == 0 ? -1 : 63 - __builtin_clzll(t); }
int botbit(signed a) { return a == 0 ? 32 : __builtin_ctz(a); }
int botbit(long long a) { return a == 0 ? 64 : __builtin_ctzll(a); }
int popcount(signed t) { return __builtin_popcount(t); }
int popcount(long long t) { return __builtin_popcountll(t); }
bool ispow2(int i) { return i && (i & -i) == i; }
long long MSK(int n) { return (1LL << n) - 1; }

template <class T> T ceil(T x, T y) {
    assert(y >= 1);
    return (x > 0 ? (x + y - 1) / y : x / y);
}
template <class T> T floor(T x, T y) {
    assert(y >= 1);
    return (x > 0 ? x / y : (x - y + 1) / y);
}

template <class T1, class T2> inline bool chmin(T1& a, T2 b) {
    if (a > b) {
        a = b;
        return true;
    }
    return false;
}
template <class T1, class T2> inline bool chmax(T1& a, T2 b) {
    if (a < b) {
        a = b;
        return true;
    }
    return false;
}

template <typename T> void mkuni(vector<T>& v) {
    sort(v.begin(), v.end());
    v.erase(unique(v.begin(), v.end()), v.end());
}
template <typename T> int lwb(const vector<T>& v, const T& x) { return lower_bound(v.begin(), v.end(), x) - v.begin(); }

const int INF = (1 << 30) - 1;
const long long IINF = (1LL << 60) - 1;
const int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1};
const int MOD = 998244353;
// const int MOD = 1000000007;

struct BipartiteMatching {
    int U, V, t;
    bool solved;
    std::vector<std::vector<int>> G;
    std::vector<int> L, R, visited;

    BipartiteMatching(int U, int V) : U(U), V(V), t(0), solved(false), G(U), L(U, -1), R(V, -1), visited(U, -1) {}

    void add_edge(int u, int v) {
        assert(0 <= u && u < U);
        assert(0 <= v && v < V);
        G[u].emplace_back(v);
    }

    void shuffle() {
        static std::mt19937 mt;
        for (auto& v : G) std::shuffle(v.begin(), v.end(), mt);
    }

    int solve() {
        for (bool updated = true; std::exchange(updated, false); t++) {
            for (int i = 0; i < U; i++) {
                if (L[i] == -1) {
                    updated |= dfs(i);
                }
            }
        }
        solved = true;
        return U - std::count(L.begin(), L.end(), -1);
    }

    std::vector<std::pair<int, int>> max_matching() const {
        assert(solved);
        std::vector<std::pair<int, int>> res;
        for (int i = 0; i < U; i++) {
            if (~L[i]) {
                res.emplace_back(i, L[i]);
            }
        }
        return res;
    }

private:
    bool dfs(int u) {
        if (std::exchange(visited[u], t) == t) return false;
        for (int& v : G[u]) {
            if (R[v] == -1) {
                L[u] = v, R[v] = u;
                return true;
            }
        }
        for (int& v : G[u]) {
            if (dfs(R[v])) {
                L[u] = v, R[v] = u;
                return true;
            }
        }
        return false;
    }
};

int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);
    int N, M;
    cin >> N >> M;
    vector<vector<int>> A(N, vector<int>(N));
    cin >> A;

    vector<vector<int>> ans;
    for (int _ = 0; _ < M; _++) {
        BipartiteMatching BM(N, N);
        for (int i = 0; i < N; i++) {
            for (int j = 0; j < N; j++) {
                if (A[i][j] > 0) {
                    BM.add_edge(i, j);
                }
            }
        }
        if (BM.solve() != N) {
            cout << -1 << '\n';
            return 0;
        }
        vector<int> v(N);
        auto res = BM.max_matching();
        for (auto [i, j] : res) {
            v[i] = j + 1;
            A[i][j]--;
        }
        ans.emplace_back(v);
    }
    for (int i = 0; i < N; i++) {
        for (int j = 0; j < N; j++) {
            if (A[i][j] != 0) {
                cout << -1 << '\n';
                return 0;
            }
        }
    }

    for (auto& v : ans) cout << v << '\n';
    return 0;
}