#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define pll pair<ll, ll>
#define maxn 101
#define maxk 1010
int N, M, K;
const ll inf = 1e18;
ll dist[maxn][maxn];
ll buy[maxn][maxk];
ll sell[maxn][maxk];
ll profit[maxn][maxn];
ll d2[maxn][maxn];
bool check(ll val) {
for (int i = 1; i <= N; i++) {
for (int j = 1; j <= N; j++) {
d2[i][j] = profit[i][j] - val*min(inf/val, dist[i][j]);
}
}
for (int i = 1; i <= N; i++) {
for (int j = 1; j <= N; j++) {
for (int k = 1; k <= N; k++) {
d2[j][k] = max(d2[j][k], d2[j][i] + d2[i][k]);
}
}
}
for (int i = 1; i <= N; i++) {
if (d2[i][i] >= 0) return true;
}
return false;
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cin >> N >> M >> K;
for (int i = 1; i <= N; i++) {
for (int j = 1; j <= N; j++) {
dist[i][j] = inf;
}
dist[i][i] = inf;
}
for (int i = 1; i <= N; i++) {
for (int j = 1; j <= K; j++) {
cin >> buy[i][j] >> sell[i][j];
}
}
int vp, wp; ll tp;
for (int i = 0; i < M; i++) {
cin >> vp >> wp >> tp;
dist[vp][wp] = min(dist[vp][wp], tp);
}
for (int i = 1; i <= N; i++) {
for (int j = 1; j <= N; j++) {
for (int k = 1; k <= N; k++) {
dist[j][k] = min(dist[j][k], dist[j][i] + dist[i][k]);
}
}
}
for (int i = 1; i <= N; i++) {
for (int j = 1; j <= N; j++) {
if (i == j) continue;
for (int k = 1; k <= K; k++) {
if (buy[i][k] == -1 || sell[j][k] == -1) continue;
profit[i][j] = max(profit[i][j], sell[j][k] - buy[i][k]);
}
}
}
ll lo = 0LL;
ll hi = 1e12;
while (lo < hi) {
ll mid = (lo+hi+1)/2LL;
if (check(mid)) {
lo = mid;
}
else hi = mid-1;
}
cout << lo << endl;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
86 ms |
2168 KB |
Output is correct |
| 2 |
Correct |
59 ms |
2168 KB |
Output is correct |
| 3 |
Correct |
54 ms |
2168 KB |
Output is correct |
| 4 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 5 |
Correct |
9 ms |
2168 KB |
Output is correct |
| 6 |
Correct |
9 ms |
2168 KB |
Output is correct |
| 7 |
Correct |
11 ms |
2168 KB |
Output is correct |
| 8 |
Correct |
2 ms |
2168 KB |
Output is correct |
| 9 |
Correct |
9 ms |
2168 KB |
Output is correct |
| 10 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 11 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 12 |
Correct |
2 ms |
2168 KB |
Output is correct |
| 13 |
Correct |
10 ms |
2168 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
9 ms |
2168 KB |
Output is correct |
| 2 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 3 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 4 |
Correct |
9 ms |
2168 KB |
Output is correct |
| 5 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 6 |
Correct |
2 ms |
2168 KB |
Output is correct |
| 7 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 8 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 9 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 10 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 11 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 12 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 13 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 14 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 15 |
Correct |
11 ms |
2168 KB |
Output is correct |
| 16 |
Correct |
12 ms |
2168 KB |
Output is correct |
| 17 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 18 |
Correct |
3 ms |
2168 KB |
Output is correct |
| 19 |
Correct |
11 ms |
2168 KB |
Output is correct |
| 20 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 21 |
Correct |
11 ms |
2168 KB |
Output is correct |
| 22 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 23 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 24 |
Correct |
9 ms |
2168 KB |
Output is correct |
| 25 |
Correct |
11 ms |
2168 KB |
Output is correct |
| 26 |
Correct |
2 ms |
2168 KB |
Output is correct |
| 27 |
Correct |
9 ms |
2168 KB |
Output is correct |
| 28 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 29 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 30 |
Correct |
2 ms |
2168 KB |
Output is correct |
| 31 |
Correct |
10 ms |
2168 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
62 ms |
2452 KB |
Output is correct |
| 2 |
Correct |
116 ms |
3056 KB |
Output is correct |
| 3 |
Correct |
60 ms |
3056 KB |
Output is correct |
| 4 |
Correct |
60 ms |
3056 KB |
Output is correct |
| 5 |
Correct |
60 ms |
3056 KB |
Output is correct |
| 6 |
Correct |
57 ms |
3056 KB |
Output is correct |
| 7 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 8 |
Correct |
3 ms |
2168 KB |
Output is correct |
| 9 |
Correct |
11 ms |
2168 KB |
Output is correct |
| 10 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 11 |
Correct |
11 ms |
2168 KB |
Output is correct |
| 12 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 13 |
Correct |
10 ms |
2168 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
9 ms |
2168 KB |
Output is correct |
| 2 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 3 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 4 |
Correct |
9 ms |
2168 KB |
Output is correct |
| 5 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 6 |
Correct |
2 ms |
2168 KB |
Output is correct |
| 7 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 8 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 9 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 10 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 11 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 12 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 13 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 14 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 15 |
Correct |
11 ms |
2168 KB |
Output is correct |
| 16 |
Correct |
12 ms |
2168 KB |
Output is correct |
| 17 |
Correct |
62 ms |
2452 KB |
Output is correct |
| 18 |
Correct |
116 ms |
3056 KB |
Output is correct |
| 19 |
Correct |
60 ms |
3056 KB |
Output is correct |
| 20 |
Correct |
60 ms |
3056 KB |
Output is correct |
| 21 |
Correct |
60 ms |
3056 KB |
Output is correct |
| 22 |
Correct |
57 ms |
3056 KB |
Output is correct |
| 23 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 24 |
Correct |
3 ms |
2168 KB |
Output is correct |
| 25 |
Correct |
11 ms |
2168 KB |
Output is correct |
| 26 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 27 |
Correct |
11 ms |
2168 KB |
Output is correct |
| 28 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 29 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 30 |
Correct |
57 ms |
3056 KB |
Output is correct |
| 31 |
Correct |
58 ms |
3056 KB |
Output is correct |
| 32 |
Correct |
82 ms |
3660 KB |
Output is correct |
| 33 |
Correct |
57 ms |
3660 KB |
Output is correct |
| 34 |
Correct |
58 ms |
3660 KB |
Output is correct |
| 35 |
Correct |
60 ms |
3660 KB |
Output is correct |
| 36 |
Correct |
114 ms |
5772 KB |
Output is correct |
| 37 |
Correct |
2 ms |
5772 KB |
Output is correct |
| 38 |
Correct |
2 ms |
5772 KB |
Output is correct |
| 39 |
Correct |
55 ms |
5772 KB |
Output is correct |
| 40 |
Correct |
58 ms |
5772 KB |
Output is correct |
| 41 |
Correct |
56 ms |
5772 KB |
Output is correct |
| 42 |
Correct |
59 ms |
5772 KB |
Output is correct |
| 43 |
Correct |
56 ms |
5772 KB |
Output is correct |
| 44 |
Correct |
3 ms |
5772 KB |
Output is correct |
| 45 |
Correct |
12 ms |
5772 KB |
Output is correct |
| 46 |
Correct |
11 ms |
5772 KB |
Output is correct |
| 47 |
Correct |
11 ms |
5772 KB |
Output is correct |
| 48 |
Correct |
118 ms |
8464 KB |
Output is correct |
| 49 |
Correct |
118 ms |
10568 KB |
Output is correct |
| 50 |
Correct |
2 ms |
10568 KB |
Output is correct |
| 51 |
Correct |
86 ms |
2168 KB |
Output is correct |
| 52 |
Correct |
59 ms |
2168 KB |
Output is correct |
| 53 |
Correct |
54 ms |
2168 KB |
Output is correct |
| 54 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 55 |
Correct |
9 ms |
2168 KB |
Output is correct |
| 56 |
Correct |
9 ms |
2168 KB |
Output is correct |
| 57 |
Correct |
11 ms |
2168 KB |
Output is correct |
| 58 |
Correct |
2 ms |
2168 KB |
Output is correct |
| 59 |
Correct |
9 ms |
2168 KB |
Output is correct |
| 60 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 61 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 62 |
Correct |
2 ms |
2168 KB |
Output is correct |
| 63 |
Correct |
10 ms |
2168 KB |
Output is correct |
