제출 #966805

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
966805		VMaksimoski008	축구 경기장 (IOI23_soccer)	C++17	24 / 100	4534 ms	36204 KiB

soccer

#include "soccer.h"
#include <bits/stdc++.h>
using namespace std;
using ll = long long;

int biggest_stadium(int N, std::vector<std::vector<int>> F) {
    int cnt = 0;

    for(int i=0; i<N; i++)
        for(int j=0; j<N; j++) cnt += (F[i][j] == 1);

    if(!cnt) return N * N;

    if(cnt == 1) {
        int x=0, y=0;
        for(int i=0; i<N; i++)
            for(int j=0; j<N; j++)
                if(F[i][j] == 1) x = i, y = j;

        return N * N - min({ (x + 1) * (y + 1), (N - x) * (y + 1), (x + 1) * (N - y), (N - x) * (N - y) });
    }

    int ans = 0, n = N;

    int mat[N+1][N+1];
    vector<vector<int> > ver(n+1, vector<int>(n+1));
    vector<vector<int> > hor(n+1, vector<int>(n+1));
    memset(mat, 0, sizeof(mat));
    for(int i=1; i<=N; i++)
        for(int j=1; j<=N; j++) mat[i][j] = F[i-1][j-1];

    for(int i=1; i<=n; i++)
        for(int j=1; j<=n; j++) hor[i][j] = hor[i][j-1] + mat[i][j];
    for(int j=1; j<=n; j++)
        for(int i=1; i<=n; i++) ver[j][i] = ver[j][i-1] + mat[i][j];

    vector<pair<int, int> > v;
    for(int i=1; i<=n; i++)
        for(int j=1; j<=n; j++) if(!mat[i][j]) v.push_back({ i, j });
    sort(v.begin(), v.end());

    auto queryHor = [&](int row, int i, int j) {
        return hor[row][max(i, j)] - hor[row][min(i, j)-1];
    };

    auto queryVer = [&](int col, int i, int j) {
        return ver[col][max(i, j)] - ver[col][min(i, j)-1];
    };

    int m = v.size();

    if(N <= 3) {
        for(int s=0; s<(1<<m); s++) {
            if(__builtin_popcount(s) <= ans) continue;
            bool ok = 1;

            for(int i=0; i<m; i++) {
                if((s & (1 << i)) == 0) continue;
                for(int j=i+1; j<m; j++) {
                    if((s & (1 << j)) == 0) continue;
                    bool ok1=1, ok2=1;

                    if(v[i].first == v[j].first) {
                        int x = max(v[j].second, v[i].second), y = min(v[j].second, v[i].second);
                        int p = hor[v[i].first][x] - hor[v[i].first][y-1];
                        
                        if(p) {
                            ok1 = 0;
                            ok2 = 0;
                            ok = 0;
                            break;
                        }
                    }

                    if(v[i].second == v[j].second) {
                        int x = max(v[j].first, v[i].first), y = min(v[j].first, v[i].first);
                        int p = ver[v[i].second][x] - ver[v[i].second][y-1];

                        if(p) {
                            ok1 = 0;
                            ok2 = 0;
                            ok = 0;
                            break;
                        }
                    }

                    if(v[i].first != v[j].first && v[i].second != v[j].second) {
                        pair<int, int> a = v[i];
                        pair<int, int> b = v[j];
                        if(a.first > b.first) swap(a, b);

                        //right-UD
                        if(queryHor(a.first, a.second, b.second) || queryVer(b.second, a.first, b.first)) ok1 = 0;

                        //UP-right
                        if(queryVer(a.second, a.first, b.first) || queryHor(b.first, a.second, b.second)) ok2 = 0;
                    }

                    if(!ok1 && !ok2) {
                        ok = 0;
                        break;
                    }
                }
            }

            if(ok) ans = max(ans, __builtin_popcount(s));
        }

        return ans;
    }

    //check full
    bool ok = 1;

    for(int i=0; i<m; i++) {
        for(int j=i+1; j<m; j++) {
            if(v[i].first == v[j].first) {
                int x = min(v[i].second, v[j].second), y = max(v[i].second, v[j].second);
                if(hor[v[i].first][y] - hor[v[i].first][x-1]) {
                    ok = 0;
                    break;
                }
            }

            if(v[i].second == v[j].second) {
                int x = min(v[i].first, v[j].first), y = max(v[i].first, v[j].first);
                if(ver[v[i].second][y] - ver[v[i].second][x-1]) {
                    ok = 0;
                    break;
                }
            }

            if(v[i].first != v[j].first && v[i].second != v[j].second) {
                pair<int, int> a = v[i];
                pair<int, int> b = v[j];
                if(a.first > b.first) swap(a, b);

                int ok1 = queryHor(a.first, a.second, b.second) + queryVer(b.second, a.first, b.first);
                int ok2 = queryVer(a.second, a.first, b.first) + queryHor(b.first, a.second, b.second);

                if(ok1 && ok2) {
                    ok = 0;
                    break;
                }
            }
        }
    }

    return (ok ? m : m + 1);
}

• Subtask 0: 0 / 0
• Subtask 1: 6 / 6
• Subtask 2: 8 / 8
• Subtask 3: 5.5 / 22
• Subtask 4: 4.5 / 18
• Subtask 5: 0 / 16
• Subtask 6: 0 / 30