#include <bits/stdc++.h>
using namespace std;
#define for_(i, s, e) for (int i = s; i < (int) e; i++)
#define for__(i, s, e) for (ll i = s; i < e; i++)
typedef long long ll;
typedef vector<int> vi;
typedef pair<int, int> ii;
#define endl '\n'
const int MXN = 100;
const ll INF = 1e15;
ll dist[MXN+1][MXN+1], gain[MXN+1][MXN+1], aux[MXN+1][MXN+1];
int main() {
#ifdef shiven
freopen("test.in", "r", stdin);
#endif
ios_base::sync_with_stdio(false);
cin.tie(0);
int n, m, k; cin >> n >> m >> k;
vector<vector<vector<ll>>> cost(n, vector<vector<ll>>(k, vector<ll>(2)));
for_(i, 0, n) for_(j, 0, k) cin >> cost[i][j][0] >> cost[i][j][1];
for_(i, 0, n) for_(j, 0, n) dist[i][j] = INF;
for_(i, 0, m) {
int a, b; ll w; cin >> a >> b >> w;
a -= 1; b -= 1;
dist[a][b] = min(dist[a][b], w);
}
for_(p, 0, n) for_(i, 0, n) for_(j, 0, n) dist[i][j] = min(dist[i][j], dist[i][p]+dist[p][j]);
for_(i, 0, n) for_(j, 0, n) {
for_(p, 0, k) if (cost[i][p][0] != -1 and cost[j][p][1] != -1) gain[i][j] = max(gain[i][j], cost[j][p][1]-cost[i][p][0]);
}
ll lo = 0, hi = 1e9+1, ans = 0;
while (lo < hi) {
ll mid = (lo+hi) / 2;
for_(i, 0, n) for_(j, 0, n) {
if (dist[i][j] != INF) aux[i][j] = mid * dist[i][j] - gain[i][j];
else aux[i][j] = INF;
}
bool valid = false;
for_(p, 0, n) for_(i, 0, n) for_(j, 0, n) aux[i][j] = min(aux[i][j], aux[i][p]+aux[p][j]);
for_(i, 0, n) if (aux[i][i] <= 0) {
valid = true;
break;
}
//cout << mid << " " << valid << endl;
if (valid) {
lo = mid+1; ans = mid;
} else hi = mid;
}
cout << ans << endl;
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
80 ms |
6136 KB |
Output is correct |
| 2 |
Correct |
38 ms |
512 KB |
Output is correct |
| 3 |
Correct |
39 ms |
512 KB |
Output is correct |
| 4 |
Correct |
6 ms |
384 KB |
Output is correct |
| 5 |
Correct |
6 ms |
384 KB |
Output is correct |
| 6 |
Correct |
6 ms |
384 KB |
Output is correct |
| 7 |
Correct |
6 ms |
512 KB |
Output is correct |
| 8 |
Correct |
1 ms |
308 KB |
Output is correct |
| 9 |
Correct |
6 ms |
384 KB |
Output is correct |
| 10 |
Correct |
6 ms |
384 KB |
Output is correct |
| 11 |
Correct |
6 ms |
384 KB |
Output is correct |
| 12 |
Correct |
0 ms |
384 KB |
Output is correct |
| 13 |
Correct |
7 ms |
512 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
6 ms |
512 KB |
Output is correct |
| 2 |
Correct |
8 ms |
512 KB |
Output is correct |
| 3 |
Correct |
8 ms |
640 KB |
Output is correct |
| 4 |
Correct |
6 ms |
768 KB |
Output is correct |
| 5 |
Correct |
7 ms |
768 KB |
Output is correct |
| 6 |
Correct |
1 ms |
384 KB |
Output is correct |
| 7 |
Correct |
6 ms |
512 KB |
Output is correct |
| 8 |
Correct |
7 ms |
640 KB |
Output is correct |
| 9 |
Correct |
6 ms |
512 KB |
Output is correct |
| 10 |
Correct |
6 ms |
512 KB |
Output is correct |
| 11 |
Correct |
7 ms |
640 KB |
Output is correct |
| 12 |
Correct |
7 ms |
640 KB |
Output is correct |
| 13 |
Correct |
7 ms |
640 KB |
Output is correct |
| 14 |
Correct |
6 ms |
512 KB |
Output is correct |
| 15 |
Correct |
7 ms |
640 KB |
Output is correct |
| 16 |
Correct |
6 ms |
512 KB |
Output is correct |
| 17 |
Correct |
7 ms |
640 KB |
Output is correct |
| 18 |
Correct |
1 ms |
384 KB |
Output is correct |
| 19 |
Correct |
7 ms |
640 KB |
Output is correct |
| 20 |
Correct |
7 ms |
640 KB |
Output is correct |
| 21 |
Correct |
8 ms |
640 KB |
Output is correct |
| 22 |
Correct |
6 ms |
512 KB |
Output is correct |
| 23 |
Correct |
6 ms |
512 KB |
Output is correct |
| 24 |
Correct |
6 ms |
384 KB |
Output is correct |
| 25 |
Correct |
6 ms |
512 KB |
Output is correct |
| 26 |
Correct |
1 ms |
308 KB |
Output is correct |
| 27 |
Correct |
6 ms |
384 KB |
Output is correct |
| 28 |
Correct |
6 ms |
384 KB |
Output is correct |
| 29 |
Correct |
6 ms |
384 KB |
Output is correct |
| 30 |
Correct |
0 ms |
384 KB |
Output is correct |
| 31 |
Correct |
7 ms |
512 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
46 ms |
1152 KB |
Output is correct |
| 2 |
Correct |
114 ms |
5532 KB |
Output is correct |
| 3 |
Correct |
41 ms |
768 KB |
Output is correct |
| 4 |
Correct |
46 ms |
1272 KB |
Output is correct |
| 5 |
Correct |
46 ms |
1280 KB |
Output is correct |
| 6 |
Correct |
43 ms |
896 KB |
Output is correct |
| 7 |
Correct |
7 ms |
640 KB |
Output is correct |
| 8 |
Correct |
1 ms |
384 KB |
Output is correct |
| 9 |
Correct |
7 ms |
640 KB |
Output is correct |
| 10 |
Correct |
7 ms |
640 KB |
Output is correct |
| 11 |
Correct |
8 ms |
640 KB |
Output is correct |
| 12 |
Correct |
6 ms |
512 KB |
Output is correct |
| 13 |
Correct |
6 ms |
512 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
6 ms |
512 KB |
Output is correct |
| 2 |
Correct |
8 ms |
512 KB |
Output is correct |
| 3 |
Correct |
8 ms |
640 KB |
Output is correct |
| 4 |
Correct |
6 ms |
768 KB |
Output is correct |
| 5 |
Correct |
7 ms |
768 KB |
Output is correct |
| 6 |
Correct |
1 ms |
384 KB |
Output is correct |
| 7 |
Correct |
6 ms |
512 KB |
Output is correct |
| 8 |
Correct |
7 ms |
640 KB |
Output is correct |
| 9 |
Correct |
6 ms |
512 KB |
Output is correct |
| 10 |
Correct |
6 ms |
512 KB |
Output is correct |
| 11 |
Correct |
7 ms |
640 KB |
Output is correct |
| 12 |
Correct |
7 ms |
640 KB |
Output is correct |
| 13 |
Correct |
7 ms |
640 KB |
Output is correct |
| 14 |
Correct |
6 ms |
512 KB |
Output is correct |
| 15 |
Correct |
7 ms |
640 KB |
Output is correct |
| 16 |
Correct |
6 ms |
512 KB |
Output is correct |
| 17 |
Correct |
46 ms |
1152 KB |
Output is correct |
| 18 |
Correct |
114 ms |
5532 KB |
Output is correct |
| 19 |
Correct |
41 ms |
768 KB |
Output is correct |
| 20 |
Correct |
46 ms |
1272 KB |
Output is correct |
| 21 |
Correct |
46 ms |
1280 KB |
Output is correct |
| 22 |
Correct |
43 ms |
896 KB |
Output is correct |
| 23 |
Correct |
7 ms |
640 KB |
Output is correct |
| 24 |
Correct |
1 ms |
384 KB |
Output is correct |
| 25 |
Correct |
7 ms |
640 KB |
Output is correct |
| 26 |
Correct |
7 ms |
640 KB |
Output is correct |
| 27 |
Correct |
8 ms |
640 KB |
Output is correct |
| 28 |
Correct |
6 ms |
512 KB |
Output is correct |
| 29 |
Correct |
6 ms |
512 KB |
Output is correct |
| 30 |
Correct |
39 ms |
640 KB |
Output is correct |
| 31 |
Correct |
44 ms |
1152 KB |
Output is correct |
| 32 |
Correct |
82 ms |
5624 KB |
Output is correct |
| 33 |
Correct |
42 ms |
1152 KB |
Output is correct |
| 34 |
Correct |
42 ms |
1152 KB |
Output is correct |
| 35 |
Correct |
42 ms |
1152 KB |
Output is correct |
| 36 |
Correct |
112 ms |
8184 KB |
Output is correct |
| 37 |
Correct |
1 ms |
384 KB |
Output is correct |
| 38 |
Correct |
1 ms |
256 KB |
Output is correct |
| 39 |
Correct |
39 ms |
640 KB |
Output is correct |
| 40 |
Correct |
42 ms |
768 KB |
Output is correct |
| 41 |
Correct |
42 ms |
820 KB |
Output is correct |
| 42 |
Correct |
39 ms |
792 KB |
Output is correct |
| 43 |
Correct |
39 ms |
640 KB |
Output is correct |
| 44 |
Correct |
1 ms |
384 KB |
Output is correct |
| 45 |
Correct |
8 ms |
896 KB |
Output is correct |
| 46 |
Correct |
9 ms |
896 KB |
Output is correct |
| 47 |
Correct |
8 ms |
896 KB |
Output is correct |
| 48 |
Correct |
112 ms |
8184 KB |
Output is correct |
| 49 |
Correct |
117 ms |
8312 KB |
Output is correct |
| 50 |
Correct |
1 ms |
384 KB |
Output is correct |
| 51 |
Correct |
80 ms |
6136 KB |
Output is correct |
| 52 |
Correct |
38 ms |
512 KB |
Output is correct |
| 53 |
Correct |
39 ms |
512 KB |
Output is correct |
| 54 |
Correct |
6 ms |
384 KB |
Output is correct |
| 55 |
Correct |
6 ms |
384 KB |
Output is correct |
| 56 |
Correct |
6 ms |
384 KB |
Output is correct |
| 57 |
Correct |
6 ms |
512 KB |
Output is correct |
| 58 |
Correct |
1 ms |
308 KB |
Output is correct |
| 59 |
Correct |
6 ms |
384 KB |
Output is correct |
| 60 |
Correct |
6 ms |
384 KB |
Output is correct |
| 61 |
Correct |
6 ms |
384 KB |
Output is correct |
| 62 |
Correct |
0 ms |
384 KB |
Output is correct |
| 63 |
Correct |
7 ms |
512 KB |
Output is correct |
