結果

問題 No.3131 Twin Slide Puzzles
ユーザー AngrySadEight
提出日時 2025-05-01 00:35:20
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
WA  
実行時間 -
コード長 7,085 bytes
コンパイル時間 4,106 ms
コンパイル使用メモリ 199,276 KB
実行使用メモリ 43,520 KB
最終ジャッジ日時 2025-05-01 00:35:42
合計ジャッジ時間 19,826 ms
ジャッジサーバーID
(参考情報)
judge3 / judge5
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 3
other AC * 40 WA * 16 RE * 1
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 #

#include <algorithm>
#include <atcoder/all>
#include <bitset>
#include <cassert>
#include <cmath>
#include <ctime>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
using namespace atcoder;
typedef long long ll;
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--)
#define repk(i, k, n) for (int i = k; i < (int)(n); i++)
#define all(v) v.begin(), v.end()
#define mod1 1000000007
#define mod2 998244353
#define mod3 100000007
#define vi vector<int>
#define vs vector<string>
#define vc vector<char>
#define vl vector<ll>
#define vb vector<bool>
#define vvi vector<vector<int>>
#define vvc vector<vector<char>>
#define vvl vector<vector<ll>>
#define vvb vector<vector<bool>>
#define vvvi vector<vector<vector<int>>>
#define vvvl vector<vector<vector<ll>>>
#define pii pair<int, int>
#define pil pair<int, ll>
#define pli pair<ll, int>
#define pll pair<ll, ll>
#define vpii vector<pair<int, int>>
#define vpll vector<pair<ll, ll>>
#define vvpii vector<vector<pair<int, int>>>
#define vvpll vector<vector<pair<ll, ll>>>

// using mint = modint998244353;

template <typename T>
void debug(T e) {
    cerr << e << endl;
}

template <typename T>
void debug(vector<T> &v) {
    rep(i, v.size()) { cerr << v[i] << " "; }
    cerr << endl;
}

template <typename T>
void debug(vector<vector<T>> &v) {
    rep(i, v.size()) {
        rep(j, v[i].size()) { cerr << v[i][j] << " "; }
        cerr << endl;
    }
}

template <typename T>
void debug(vector<pair<T, T>> &v) {
    rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; }
}

template <typename T>
void debug(set<T> &st) {
    for (auto itr = st.begin(); itr != st.end(); itr++) {
        cerr << *itr << " ";
    }
    cerr << endl;
}

template <typename T>
void debug(multiset<T> &ms) {
    for (auto itr = ms.begin(); itr != ms.end(); itr++) {
        cerr << *itr << " ";
    }
    cerr << endl;
}

template <typename T>
void debug(map<T, T> &mp) {
    for (auto itr = mp.begin(); itr != mp.end(); itr++) {
        cerr << itr->first << " " << itr->second << endl;
    }
}

void debug_out() { cerr << endl; }

template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
    cerr << H << " ";
    debug_out(T...);
}

using mint = modint998244353;

void debug_mint1(vector<mint> &vec) {
    for (int i = 0; i < vec.size(); i++) {
        cerr << vec[i].val() << " ";
    }
    cerr << endl;
}

void debug_mint2(vector<vector<mint>> &vec) {
    for (int i = 0; i < vec.size(); i++) {
        for (int j = 0; j < vec[i].size(); j++) {
            cerr << vec[i][j].val() << " ";
        }
        cerr << endl;
    }
}

ll inversion(ll N, vector<ll> &vec) {
    fenwick_tree<ll> bit(N);
    ll ret = 0;
    for (ll i = 0; i < N; i++) {
        ret += bit.sum(vec[i], N);
        bit.add(vec[i], 1);
    }
    return ret;
}

int main() {
    ll N;
    cin >> N;
    vector A(N, vector<ll>(N));
    for (ll i = 0; i < N; i++) {
        for (ll j = 0; j < N; j++) {
            cin >> A[i][j];
        }
    }
    // 先頭 16 個または 25 個から 9 個を選んで乱択する
    if (N <= 3) {
        vector<ll> vec(N * N);
        for (ll i = 0; i < N * N; i++) {
            vec[i] = i;
        }
        map<ll, vector<ll>> mp;
        do {
            if (inversion(N * N, vec) % 2 == 0) {
                ll score = 0;
                for (ll i = 0; i < N * N; i++) {
                    score += A[i / N][i % N] * vec[i];
                }
                if (mp.find(score) == mp.end()) {
                    mp[score] = vec;
                } else {
                    cout << "Yes" << endl;
                    for (ll i = 0; i < N; i++) {
                        for (ll j = 0; j < N; j++) {
                            cout << vec[i * N + j] << (j == N - 1 ? "" : " ");
                        }
                        cout << endl;
                    }
                    for (ll i = 0; i < N; i++) {
                        for (ll j = 0; j < N; j++) {
                            cout << mp[score][i * N + j]
                                 << (j == N - 1 ? "" : " ");
                        }
                        cout << endl;
                    }
                    return 0;
                }
            }
        } while (next_permutation(all(vec)));
        cout << "No" << endl;
    } else {
        srand(time(NULL));
        // 先頭 16 個から 9 個を選んで乱択する
        vector<ll> rd(0);
        vector<ll> chosen(16, -1);
        for (ll i = 0; i < 9; i++) {
            while (true) {
                ll r = rand() % 16;
                if (chosen[r] == -1) {
                    rd.push_back(r);
                    chosen[r] = i;
                    break;
                }
            }
        }
        sort(all(rd));
        for (ll i = 0; i < 9; i++) {
            chosen[rd[i]] = i;
        }
        debug(rd);

        vector<ll> vec(N * N);
        for (ll i = 0; i < N * N; i++) {
            vec[i] = i;
        }
        map<ll, vector<ll>> mp;
        do {
            vector<ll> vec_cpy(16, 0);
            for (ll i = 0; i < 16; i++) {
                if (chosen[i] != -1) {
                    vec_cpy[i] = rd[chosen[i]];
                } else {
                    vec_cpy[i] = i;
                }
            }
            if (inversion(16, vec_cpy) % 2 == 0) {
                ll score = 0;
                for (ll i = 0; i < 16; i++) {
                    score += A[i / N][i % N] * vec_cpy[i];
                }
                if (mp.find(score) != mp.end()) {
                    cout << "Yes" << endl;
                    for (ll i = 0; i < N; i++) {
                        for (ll j = 0; j < N; j++) {
                            if (i * N + j < 16) {
                                cout << mp[score][i * N + j]
                                     << (j == N - 1 ? "" : " ");
                            } else {
                                cout << i * N + j << (j == N - 1 ? "" : " ");
                            }
                        }
                        cout << endl;
                    }
                    for (ll i = 0; i < N; i++) {
                        for (ll j = 0; j < N; j++) {
                            if (i * N + j < 16) {
                                cout << vec_cpy[i * N + j]
                                     << (j == N - 1 ? "" : " ");
                            } else {
                                cout << i * N + j << (j == N - 1 ? "" : " ");
                            }
                        }
                        cout << endl;
                    }
                    return 0;
                } else {
                    mp[score] = vec_cpy;
                }
            }
        } while (next_permutation(all(rd)));
        assert(1 == 0);
    }
}
0