#include<bits/stdc++.h>
using namespace std;
#define int long long
const int N=110, K=1010, inf=1e18;
int n, m, _k;
int b[N][K], s[N][K];
vector<pair<pair<int, int>, int>> e;
int d[N][N];
int g[N][N];
int f[N][N];
bool check(int mid){
for (int i=1; i<=n; ++i) for (int j=1; j<=n; ++j){
f[i][j]=inf;
if (d[i][j]!=inf && d[i][j]<inf/mid) f[i][j]=mid*d[i][j]-g[i][j];
}
for (int k=1; k<=n; ++k){
for (int i=1; i<=n; ++i) for (int j=1; j<=n; ++j){
f[i][j]=min(f[i][j], f[i][k]+f[k][j]);
}
}
for (int i=1; i<=n; ++i) if (f[i][i]<=0) return true;
return false;
}
int32_t main(){
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n >> m >> _k;
for (int i=1; i<=n; ++i) for (int j=1; j<=_k; ++j) cin >> b[i][j] >> s[i][j];
e.resize(m);
for (int i=1; i<=n; ++i) for (int j=1; j<=n; ++j) d[i][j]=inf;
for (auto &i:e){
cin >> i.first.first >> i.first.second >> i.second;
d[i.first.first][i.first.second]=min(d[i.first.first][i.first.second], i.second);
}
for (int k=1; k<=n; ++k) for (int i=1; i<=n; ++i) for (int j=1; j<=n; ++j){
if (d[i][k]!=inf && d[k][j]!=inf) d[i][j]=min(d[i][j], d[i][k]+d[k][j]);
}
for (int i=1; i<=_k; ++i){
for (int u=1; u<=n; ++u) for (int v=1; v<=n; ++v) if (b[u][i]!=-1 && s[v][i]!=-1 && b[u][i]<s[v][i]){
g[u][v]=max(g[u][v], s[v][i]-b[u][i]);
}
}
int l=1, r=1e9;
while (l<=r){
int mid=(l+r)>>1;
if (check(mid)) l=mid+1;
else r=mid-1;
}
cout << r << '\n';
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
53 ms |
3420 KB |
Output is correct |
2 |
Correct |
35 ms |
1368 KB |
Output is correct |
3 |
Correct |
32 ms |
1368 KB |
Output is correct |
4 |
Correct |
5 ms |
860 KB |
Output is correct |
5 |
Correct |
5 ms |
976 KB |
Output is correct |
6 |
Correct |
5 ms |
860 KB |
Output is correct |
7 |
Correct |
5 ms |
1052 KB |
Output is correct |
8 |
Correct |
1 ms |
344 KB |
Output is correct |
9 |
Correct |
5 ms |
872 KB |
Output is correct |
10 |
Correct |
5 ms |
860 KB |
Output is correct |
11 |
Correct |
5 ms |
860 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
5 ms |
1000 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
860 KB |
Output is correct |
2 |
Correct |
5 ms |
1052 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
5 ms |
872 KB |
Output is correct |
5 |
Correct |
5 ms |
860 KB |
Output is correct |
6 |
Correct |
5 ms |
860 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
5 ms |
1000 KB |
Output is correct |
9 |
Correct |
5 ms |
860 KB |
Output is correct |
10 |
Correct |
5 ms |
860 KB |
Output is correct |
11 |
Correct |
5 ms |
860 KB |
Output is correct |
12 |
Correct |
5 ms |
860 KB |
Output is correct |
13 |
Correct |
5 ms |
1116 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
4 ms |
860 KB |
Output is correct |
16 |
Correct |
5 ms |
1088 KB |
Output is correct |
17 |
Correct |
4 ms |
860 KB |
Output is correct |
18 |
Correct |
5 ms |
860 KB |
Output is correct |
19 |
Correct |
5 ms |
1116 KB |
Output is correct |
20 |
Correct |
5 ms |
860 KB |
Output is correct |
21 |
Correct |
5 ms |
860 KB |
Output is correct |
22 |
Correct |
5 ms |
860 KB |
Output is correct |
23 |
Correct |
7 ms |
1112 KB |
Output is correct |
24 |
Correct |
5 ms |
860 KB |
Output is correct |
25 |
Correct |
8 ms |
860 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
5 ms |
1112 KB |
Output is correct |
28 |
Correct |
5 ms |
992 KB |
Output is correct |
29 |
Correct |
5 ms |
1112 KB |
Output is correct |
30 |
Correct |
5 ms |
1000 KB |
Output is correct |
31 |
Correct |
4 ms |
1108 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
860 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
5 ms |
1112 KB |
Output is correct |
4 |
Correct |
5 ms |
992 KB |
Output is correct |
5 |
Correct |
5 ms |
1112 KB |
Output is correct |
6 |
Correct |
5 ms |
1000 KB |
Output is correct |
7 |
Correct |
4 ms |
1108 KB |
Output is correct |
8 |
Correct |
37 ms |
1624 KB |
Output is correct |
9 |
Correct |
72 ms |
4080 KB |
Output is correct |
10 |
Correct |
38 ms |
1624 KB |
Output is correct |
11 |
Correct |
36 ms |
1924 KB |
Output is correct |
12 |
Correct |
35 ms |
1884 KB |
Output is correct |
13 |
Correct |
34 ms |
1628 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
860 KB |
Output is correct |
2 |
Correct |
5 ms |
860 KB |
Output is correct |
3 |
Correct |
5 ms |
860 KB |
Output is correct |
4 |
Correct |
5 ms |
860 KB |
Output is correct |
5 |
Correct |
5 ms |
1116 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
4 ms |
860 KB |
Output is correct |
8 |
Correct |
5 ms |
1088 KB |
Output is correct |
9 |
Correct |
4 ms |
860 KB |
Output is correct |
10 |
Correct |
5 ms |
860 KB |
Output is correct |
11 |
Correct |
5 ms |
1116 KB |
Output is correct |
12 |
Correct |
5 ms |
860 KB |
Output is correct |
13 |
Correct |
5 ms |
860 KB |
Output is correct |
14 |
Correct |
5 ms |
860 KB |
Output is correct |
15 |
Correct |
7 ms |
1112 KB |
Output is correct |
16 |
Correct |
5 ms |
860 KB |
Output is correct |
17 |
Correct |
37 ms |
1624 KB |
Output is correct |
18 |
Correct |
72 ms |
4080 KB |
Output is correct |
19 |
Correct |
38 ms |
1624 KB |
Output is correct |
20 |
Correct |
36 ms |
1924 KB |
Output is correct |
21 |
Correct |
35 ms |
1884 KB |
Output is correct |
22 |
Correct |
34 ms |
1628 KB |
Output is correct |
23 |
Correct |
8 ms |
860 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
25 |
Correct |
5 ms |
1112 KB |
Output is correct |
26 |
Correct |
5 ms |
992 KB |
Output is correct |
27 |
Correct |
5 ms |
1112 KB |
Output is correct |
28 |
Correct |
5 ms |
1000 KB |
Output is correct |
29 |
Correct |
4 ms |
1108 KB |
Output is correct |
30 |
Correct |
53 ms |
3420 KB |
Output is correct |
31 |
Correct |
35 ms |
1368 KB |
Output is correct |
32 |
Correct |
32 ms |
1368 KB |
Output is correct |
33 |
Correct |
5 ms |
860 KB |
Output is correct |
34 |
Correct |
5 ms |
976 KB |
Output is correct |
35 |
Correct |
5 ms |
860 KB |
Output is correct |
36 |
Correct |
5 ms |
1052 KB |
Output is correct |
37 |
Correct |
1 ms |
344 KB |
Output is correct |
38 |
Correct |
5 ms |
872 KB |
Output is correct |
39 |
Correct |
5 ms |
860 KB |
Output is correct |
40 |
Correct |
5 ms |
860 KB |
Output is correct |
41 |
Correct |
1 ms |
348 KB |
Output is correct |
42 |
Correct |
5 ms |
1000 KB |
Output is correct |
43 |
Correct |
33 ms |
1368 KB |
Output is correct |
44 |
Correct |
35 ms |
1780 KB |
Output is correct |
45 |
Correct |
45 ms |
2704 KB |
Output is correct |
46 |
Correct |
38 ms |
1772 KB |
Output is correct |
47 |
Correct |
35 ms |
1624 KB |
Output is correct |
48 |
Correct |
35 ms |
1628 KB |
Output is correct |
49 |
Correct |
60 ms |
4180 KB |
Output is correct |
50 |
Correct |
1 ms |
348 KB |
Output is correct |
51 |
Correct |
0 ms |
464 KB |
Output is correct |
52 |
Correct |
33 ms |
1372 KB |
Output is correct |
53 |
Correct |
34 ms |
1624 KB |
Output is correct |
54 |
Correct |
35 ms |
1628 KB |
Output is correct |
55 |
Correct |
33 ms |
1368 KB |
Output is correct |
56 |
Correct |
33 ms |
1372 KB |
Output is correct |
57 |
Correct |
0 ms |
348 KB |
Output is correct |
58 |
Correct |
5 ms |
1116 KB |
Output is correct |
59 |
Correct |
6 ms |
1112 KB |
Output is correct |
60 |
Correct |
5 ms |
1116 KB |
Output is correct |
61 |
Correct |
71 ms |
4532 KB |
Output is correct |
62 |
Correct |
61 ms |
4444 KB |
Output is correct |
63 |
Correct |
1 ms |
348 KB |
Output is correct |