| 17172 | 2025-05-28 11:09:50 | szil | Game on a Matrix | cpp17 | Time limit exceeded 85/100 | 5.087s | 8456 KiB |
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int MAXN = 1001;
const int INF = 1e9+100;
int a[MAXN][MAXN], n;
bool f(int x) {
vector<vector<int>> g(n+1);
vector<int> mt(n+1, -1);
vector<bool> vis(n+1);
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= n; j++) {
if (a[i][j] >= x) {
g[i].emplace_back(j);
}
}
}
auto try_kuhn = [&](auto &&self, int u) -> bool {
if (vis[u]) return false;
vis[u] = 1;
for (int v : g[u]) {
if (mt[v] == -1 || self(self, mt[v])) {
mt[v] = u;
return true;
}
}
return false;
};
for (int i = 1; i <= n; i++) {
fill(vis.begin(), vis.end(), 0);
try_kuhn(try_kuhn, i);
}
return count(mt.begin(), mt.end(), -1) == 1;
}
void solve() {
cin >> n;
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= n; j++) {
cin >> a[i][j];
}
}
int lo = 0, hi = INF;
while (lo < hi) {
int mid = (lo + hi + 1) / 2;
if (f(mid)) lo = mid;
else hi = mid-1;
}
cout << lo << "\n";
}
int main() {
ios::sync_with_stdio(0); cin.tie(0);
int t = 1;
// cin >> t;
while (t--) solve();
return 0;
}| Subtask | Sum | Test | Verdict | Time | Memory | ||
|---|---|---|---|---|---|---|---|
| subtask1 | 0/0 | ||||||
| 1 | Accepted | 1ms | 316 KiB | ||||
| subtask2 | 10/10 | ||||||
| 2 | Accepted | 1ms | 316 KiB | ||||
| 3 | Accepted | 1ms | 548 KiB | ||||
| 4 | Accepted | 1ms | 316 KiB | ||||
| 5 | Accepted | 1ms | 316 KiB | ||||
| 6 | Accepted | 1ms | 316 KiB | ||||
| 7 | Accepted | 1ms | 316 KiB | ||||
| 8 | Accepted | 1ms | 316 KiB | ||||
| 9 | Accepted | 1ms | 316 KiB | ||||
| 10 | Accepted | 1ms | 316 KiB | ||||
| 11 | Accepted | 1ms | 508 KiB | ||||
| 12 | Accepted | 1ms | 316 KiB | ||||
| 13 | Accepted | 1ms | 316 KiB | ||||
| 14 | Accepted | 1ms | 316 KiB | ||||
| 15 | Accepted | 1ms | 388 KiB | ||||
| 16 | Accepted | 1ms | 364 KiB | ||||
| 17 | Accepted | 1ms | 508 KiB | ||||
| 18 | Accepted | 1ms | 316 KiB | ||||
| 19 | Accepted | 1ms | 316 KiB | ||||
| 20 | Accepted | 1ms | 316 KiB | ||||
| 21 | Accepted | 1ms | 508 KiB | ||||
| 22 | Accepted | 1ms | 316 KiB | ||||
| 23 | Accepted | 1ms | 316 KiB | ||||
| 24 | Accepted | 1ms | 316 KiB | ||||
| subtask3 | 30/30 | ||||||
| 25 | Accepted | 1ms | 316 KiB | ||||
| 26 | Accepted | 2ms | 576 KiB | ||||
| 27 | Accepted | 4ms | 820 KiB | ||||
| 28 | Accepted | 10ms | 1076 KiB | ||||
| 29 | Accepted | 32ms | 1936 KiB | ||||
| 30 | Accepted | 32ms | 1864 KiB | ||||
| 31 | Accepted | 28ms | 1816 KiB | ||||
| 32 | Accepted | 12ms | 1196 KiB | ||||
| 33 | Accepted | 19ms | 1588 KiB | ||||
| 34 | Accepted | 6ms | 820 KiB | ||||
| subtask4 | 45/45 | ||||||
| 35 | Accepted | 8ms | 1012 KiB | ||||
| 36 | Accepted | 8ms | 1004 KiB | ||||
| 37 | Accepted | 8ms | 856 KiB | ||||
| 38 | Accepted | 8ms | 820 KiB | ||||
| 39 | Accepted | 7ms | 860 KiB | ||||
| 40 | Accepted | 6ms | 700 KiB | ||||
| 41 | Accepted | 8ms | 656 KiB | ||||
| 42 | Accepted | 6ms | 820 KiB | ||||
| 43 | Accepted | 7ms | 1012 KiB | ||||
| 44 | Accepted | 8ms | 820 KiB | ||||
| 45 | Accepted | 8ms | 824 KiB | ||||
| 46 | Accepted | 8ms | 820 KiB | ||||
| 47 | Accepted | 8ms | 864 KiB | ||||
| 48 | Accepted | 8ms | 828 KiB | ||||
| 49 | Accepted | 8ms | 772 KiB | ||||
| 50 | Accepted | 39ms | 876 KiB | ||||
| 51 | Accepted | 9ms | 868 KiB | ||||
| 52 | Accepted | 25ms | 864 KiB | ||||
| 53 | Accepted | 9ms | 824 KiB | ||||
| 54 | Accepted | 9ms | 860 KiB | ||||
| 55 | Accepted | 9ms | 636 KiB | ||||
| 56 | Accepted | 26ms | 872 KiB | ||||
| 57 | Accepted | 1ms | 508 KiB | ||||
| 58 | Accepted | 2ms | 576 KiB | ||||
| subtask5 | 0/15 | ||||||
| 59 | Accepted | 1.409s | 6328 KiB | ||||
| 60 | Accepted | 1.256s | 6452 KiB | ||||
| 61 | Accepted | 1.495s | 6452 KiB | ||||
| 62 | Accepted | 1.286s | 6460 KiB | ||||
| 63 | Accepted | 1.399s | 6340 KiB | ||||
| 64 | Accepted | 1.424s | 6452 KiB | ||||
| 65 | Accepted | 1.424s | 6452 KiB | ||||
| 66 | Accepted | 1.304s | 6452 KiB | ||||
| 67 | Accepted | 1.402s | 6452 KiB | ||||
| 68 | Accepted | 1.427s | 6452 KiB | ||||
| 69 | Accepted | 1.399s | 6196 KiB | ||||
| 70 | Accepted | 1.47s | 6416 KiB | ||||
| 71 | Accepted | 644ms | 5428 KiB | ||||
| 72 | Accepted | 936ms | 6196 KiB | ||||
| 73 | Accepted | 1.409s | 6452 KiB | ||||
| 74 | Time limit exceeded | 5.083s | 8456 KiB | ||||
| 75 | Time limit exceeded | 5.08s | 7380 KiB | ||||
| 76 | Time limit exceeded | 5.085s | 8324 KiB | ||||
| 77 | Time limit exceeded | 5.087s | 7392 KiB | ||||
| 78 | Time limit exceeded | 5.085s | 7404 KiB | ||||
| 79 | Accepted | 4.662s | 6268 KiB | ||||