| 17173 | 2025-05-28 11:10:52 | szil | Game on a Matrix | cpp17 | Accepted 100/100 | 3.894s | 8400 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);
}
}
}
for (int i = 1; i <= n; i++) {
random_shuffle(g[i].begin(), g[i].end());
}
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) {
mt[v] = u;
return true;
}
}
for (int v : g[u]) {
if (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() {
srand(42);
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 | 452 KiB | ||||
| 3 | Accepted | 1ms | 348 KiB | ||||
| 4 | Accepted | 1ms | 316 KiB | ||||
| 5 | Accepted | 1ms | 316 KiB | ||||
| 6 | Accepted | 1ms | 316 KiB | ||||
| 7 | Accepted | 1ms | 316 KiB | ||||
| 8 | Accepted | 1ms | 432 KiB | ||||
| 9 | Accepted | 1ms | 316 KiB | ||||
| 10 | Accepted | 1ms | 500 KiB | ||||
| 11 | Accepted | 1ms | 316 KiB | ||||
| 12 | Accepted | 1ms | 388 KiB | ||||
| 13 | Accepted | 1ms | 508 KiB | ||||
| 14 | Accepted | 1ms | 472 KiB | ||||
| 15 | Accepted | 1ms | 316 KiB | ||||
| 16 | Accepted | 1ms | 320 KiB | ||||
| 17 | Accepted | 1ms | 500 KiB | ||||
| 18 | Accepted | 1ms | 316 KiB | ||||
| 19 | Accepted | 1ms | 316 KiB | ||||
| 20 | Accepted | 1ms | 316 KiB | ||||
| 21 | Accepted | 1ms | 664 KiB | ||||
| 22 | Accepted | 1ms | 316 KiB | ||||
| 23 | Accepted | 1ms | 320 KiB | ||||
| 24 | Accepted | 1ms | 328 KiB | ||||
| subtask3 | 30/30 | ||||||
| 25 | Accepted | 1ms | 316 KiB | ||||
| 26 | Accepted | 2ms | 564 KiB | ||||
| 27 | Accepted | 3ms | 820 KiB | ||||
| 28 | Accepted | 8ms | 1252 KiB | ||||
| 29 | Accepted | 18ms | 1876 KiB | ||||
| 30 | Accepted | 18ms | 1856 KiB | ||||
| 31 | Accepted | 17ms | 1772 KiB | ||||
| 32 | Accepted | 8ms | 1228 KiB | ||||
| 33 | Accepted | 17ms | 1588 KiB | ||||
| 34 | Accepted | 4ms | 1012 KiB | ||||
| subtask4 | 45/45 | ||||||
| 35 | Accepted | 6ms | 820 KiB | ||||
| 36 | Accepted | 6ms | 820 KiB | ||||
| 37 | Accepted | 4ms | 828 KiB | ||||
| 38 | Accepted | 6ms | 820 KiB | ||||
| 39 | Accepted | 4ms | 820 KiB | ||||
| 40 | Accepted | 6ms | 820 KiB | ||||
| 41 | Accepted | 6ms | 864 KiB | ||||
| 42 | Accepted | 4ms | 820 KiB | ||||
| 43 | Accepted | 4ms | 620 KiB | ||||
| 44 | Accepted | 6ms | 860 KiB | ||||
| 45 | Accepted | 6ms | 1004 KiB | ||||
| 46 | Accepted | 6ms | 820 KiB | ||||
| 47 | Accepted | 6ms | 824 KiB | ||||
| 48 | Accepted | 6ms | 820 KiB | ||||
| 49 | Accepted | 4ms | 820 KiB | ||||
| 50 | Accepted | 17ms | 820 KiB | ||||
| 51 | Accepted | 10ms | 864 KiB | ||||
| 52 | Accepted | 9ms | 820 KiB | ||||
| 53 | Accepted | 8ms | 928 KiB | ||||
| 54 | Accepted | 8ms | 748 KiB | ||||
| 55 | Accepted | 9ms | 820 KiB | ||||
| 56 | Accepted | 10ms | 876 KiB | ||||
| 57 | Accepted | 1ms | 316 KiB | ||||
| 58 | Accepted | 2ms | 564 KiB | ||||
| subtask5 | 15/15 | ||||||
| 59 | Accepted | 293ms | 6360 KiB | ||||
| 60 | Accepted | 277ms | 6336 KiB | ||||
| 61 | Accepted | 298ms | 6196 KiB | ||||
| 62 | Accepted | 293ms | 6276 KiB | ||||
| 63 | Accepted | 296ms | 6192 KiB | ||||
| 64 | Accepted | 298ms | 6196 KiB | ||||
| 65 | Accepted | 296ms | 6360 KiB | ||||
| 66 | Accepted | 294ms | 6260 KiB | ||||
| 67 | Accepted | 293ms | 6196 KiB | ||||
| 68 | Accepted | 296ms | 6368 KiB | ||||
| 69 | Accepted | 296ms | 6196 KiB | ||||
| 70 | Accepted | 296ms | 6392 KiB | ||||
| 71 | Accepted | 263ms | 5396 KiB | ||||
| 72 | Accepted | 261ms | 6336 KiB | ||||
| 73 | Accepted | 291ms | 6196 KiB | ||||
| 74 | Accepted | 2.168s | 8400 KiB | ||||
| 75 | Accepted | 887ms | 7388 KiB | ||||
| 76 | Accepted | 2.188s | 8396 KiB | ||||
| 77 | Accepted | 3.894s | 7376 KiB | ||||
| 78 | Accepted | 2.783s | 7392 KiB | ||||
| 79 | Accepted | 551ms | 6136 KiB | ||||