#include <iostream>
#include <assert.h>
#include <algorithm>
#include <vector>
#include <set>
#include <string>
#include <queue>
#include <map>
#include <bits/stdc++.h>
#define initrand mt19937 mt_rand(time(0));
#define rand mt_rand()
#define int long long
#define INF 10000000000;
using namespace std;
#define mid(l, u) ((l+u)/2)
//#define cin fin
//#define cout fout
signed main(){
int n, m, k;
cin>>n>>m>>k;
int mat[n][n], p[n][n];
int b[n][k], s[n][k];
for(int i =0;i<n;i++){
for(int j =0 ;j<n;j++){
mat[i][j] = INF;
p[i][j] = INF;
}
p[i][i] = 0;
mat[i][i] = 0;
}
for(int i =0 ;i<n;i++){
for(int j =0 ;j<k;j++){
cin>>b[i][j]>>s[i][j];
}
}
for(int i = 0;i<m;i++){
int u, v, t;
cin>>u>>v>>t;
mat[u-1][v-1] = min(mat[u-1][v-1], t);
}
for(int x = 0;x<n;x++){
for(int i = 0;i<n;i++){
for(int j = 0;j<n;j++){
mat[i][j] = min(mat[i][j], mat[i][x] + mat[x][j]);
}
p[x][i] = 0;
for(int j = 0;j<k;j++){
if(s[i][j]!=-1 && b[x][j]!=-1) p[x][i] = max(p[x][i], s[i][j] - b[x][j]);
}
}
}
/*for(int i =0 ;i<n;i++){
for(int j = 0;j<n;j++){
cout<<"distance from "<<i<<" to "<<j<<" is "<<mat[i][j]<<endl;
}
}*/
int l = 1;
int u = 1000000001;
int ans = 0;
while(l<=u){
int r = mid(l, u);
bool found = false;
int adj[n][n];
for(int i =0 ;i<n;i++){
for(int j = 0;j<n;j++){
adj[i][j] = INF;
adj[i][j] = min(adj[i][j], -(p[i][j] - r*mat[i][j]));
}
adj[i][i] = INF;
}
for(int x = 0;x<n;x++){
for(int i = 0;i<n;i++){
for(int j = 0;j<n;j++){
adj[i][j] = min(adj[i][j], adj[i][x] + adj[x][j]);
}
}
}
for(int i = 0;i<n;i++){
if((adj[i][i] + adj[i][i]) <= 0){
//cout<<i<<" "<<j<<" "<<adj[i][j]<<" "<<j<<" "<<i<<" "<<adj[j][i]<<endl;
found = true;
}
}
//cout<<r<<" "<<found<<endl;
if(found){
ans = max(ans, r);
l = r + 1;
}
else{
u = r-1;
}
}
cout<<ans<<endl;
}
/*
4 5 2
10 9 5 2
6 4 20 15
9 7 10 9
-1 -1 16 11
1 2 3
2 3 3
1 4 1
4 3 1
3 1 1
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
138 ms |
2040 KB |
Output is correct |
2 |
Correct |
36 ms |
760 KB |
Output is correct |
3 |
Correct |
35 ms |
512 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
5 ms |
384 KB |
Output is correct |
6 |
Correct |
5 ms |
384 KB |
Output is correct |
7 |
Correct |
7 ms |
384 KB |
Output is correct |
8 |
Correct |
1 ms |
256 KB |
Output is correct |
9 |
Correct |
5 ms |
384 KB |
Output is correct |
10 |
Correct |
6 ms |
384 KB |
Output is correct |
11 |
Correct |
5 ms |
384 KB |
Output is correct |
12 |
Correct |
0 ms |
256 KB |
Output is correct |
13 |
Correct |
7 ms |
384 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
384 KB |
Output is correct |
2 |
Correct |
7 ms |
384 KB |
Output is correct |
3 |
Correct |
6 ms |
384 KB |
Output is correct |
4 |
Correct |
6 ms |
384 KB |
Output is correct |
5 |
Correct |
9 ms |
512 KB |
Output is correct |
6 |
Correct |
0 ms |
256 KB |
Output is correct |
7 |
Correct |
6 ms |
384 KB |
Output is correct |
8 |
Correct |
7 ms |
384 KB |
Output is correct |
9 |
Correct |
6 ms |
384 KB |
Output is correct |
10 |
Correct |
6 ms |
384 KB |
Output is correct |
11 |
Correct |
10 ms |
512 KB |
Output is correct |
12 |
Correct |
9 ms |
512 KB |
Output is correct |
13 |
Correct |
8 ms |
384 KB |
Output is correct |
14 |
Correct |
6 ms |
384 KB |
Output is correct |
15 |
Correct |
11 ms |
512 KB |
Output is correct |
16 |
Correct |
6 ms |
384 KB |
Output is correct |
17 |
Correct |
7 ms |
384 KB |
Output is correct |
18 |
Correct |
0 ms |
256 KB |
Output is correct |
19 |
Correct |
9 ms |
512 KB |
Output is correct |
20 |
Correct |
9 ms |
512 KB |
Output is correct |
21 |
Correct |
9 ms |
512 KB |
Output is correct |
22 |
Correct |
7 ms |
384 KB |
Output is correct |
23 |
Correct |
5 ms |
384 KB |
Output is correct |
24 |
Correct |
5 ms |
384 KB |
Output is correct |
25 |
Correct |
7 ms |
384 KB |
Output is correct |
26 |
Correct |
1 ms |
256 KB |
Output is correct |
27 |
Correct |
5 ms |
384 KB |
Output is correct |
28 |
Correct |
6 ms |
384 KB |
Output is correct |
29 |
Correct |
5 ms |
384 KB |
Output is correct |
30 |
Correct |
0 ms |
256 KB |
Output is correct |
31 |
Correct |
7 ms |
384 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
46 ms |
640 KB |
Output is correct |
2 |
Correct |
179 ms |
3800 KB |
Output is correct |
3 |
Correct |
40 ms |
640 KB |
Output is correct |
4 |
Correct |
56 ms |
896 KB |
Output is correct |
5 |
Correct |
53 ms |
896 KB |
Output is correct |
6 |
Correct |
42 ms |
640 KB |
Output is correct |
7 |
Correct |
7 ms |
384 KB |
Output is correct |
8 |
Correct |
0 ms |
256 KB |
Output is correct |
9 |
Correct |
9 ms |
512 KB |
Output is correct |
10 |
Correct |
9 ms |
512 KB |
Output is correct |
11 |
Correct |
9 ms |
512 KB |
Output is correct |
12 |
Correct |
7 ms |
384 KB |
Output is correct |
13 |
Correct |
5 ms |
384 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
384 KB |
Output is correct |
2 |
Correct |
7 ms |
384 KB |
Output is correct |
3 |
Correct |
6 ms |
384 KB |
Output is correct |
4 |
Correct |
6 ms |
384 KB |
Output is correct |
5 |
Correct |
9 ms |
512 KB |
Output is correct |
6 |
Correct |
0 ms |
256 KB |
Output is correct |
7 |
Correct |
6 ms |
384 KB |
Output is correct |
8 |
Correct |
7 ms |
384 KB |
Output is correct |
9 |
Correct |
6 ms |
384 KB |
Output is correct |
10 |
Correct |
6 ms |
384 KB |
Output is correct |
11 |
Correct |
10 ms |
512 KB |
Output is correct |
12 |
Correct |
9 ms |
512 KB |
Output is correct |
13 |
Correct |
8 ms |
384 KB |
Output is correct |
14 |
Correct |
6 ms |
384 KB |
Output is correct |
15 |
Correct |
11 ms |
512 KB |
Output is correct |
16 |
Correct |
6 ms |
384 KB |
Output is correct |
17 |
Correct |
46 ms |
640 KB |
Output is correct |
18 |
Correct |
179 ms |
3800 KB |
Output is correct |
19 |
Correct |
40 ms |
640 KB |
Output is correct |
20 |
Correct |
56 ms |
896 KB |
Output is correct |
21 |
Correct |
53 ms |
896 KB |
Output is correct |
22 |
Correct |
42 ms |
640 KB |
Output is correct |
23 |
Correct |
7 ms |
384 KB |
Output is correct |
24 |
Correct |
0 ms |
256 KB |
Output is correct |
25 |
Correct |
9 ms |
512 KB |
Output is correct |
26 |
Correct |
9 ms |
512 KB |
Output is correct |
27 |
Correct |
9 ms |
512 KB |
Output is correct |
28 |
Correct |
7 ms |
384 KB |
Output is correct |
29 |
Correct |
5 ms |
384 KB |
Output is correct |
30 |
Correct |
36 ms |
640 KB |
Output is correct |
31 |
Correct |
42 ms |
800 KB |
Output is correct |
32 |
Correct |
90 ms |
2296 KB |
Output is correct |
33 |
Correct |
44 ms |
768 KB |
Output is correct |
34 |
Correct |
46 ms |
892 KB |
Output is correct |
35 |
Correct |
43 ms |
896 KB |
Output is correct |
36 |
Correct |
195 ms |
4044 KB |
Output is correct |
37 |
Correct |
1 ms |
256 KB |
Output is correct |
38 |
Correct |
0 ms |
256 KB |
Output is correct |
39 |
Correct |
35 ms |
628 KB |
Output is correct |
40 |
Correct |
45 ms |
640 KB |
Output is correct |
41 |
Correct |
39 ms |
640 KB |
Output is correct |
42 |
Correct |
42 ms |
640 KB |
Output is correct |
43 |
Correct |
37 ms |
512 KB |
Output is correct |
44 |
Correct |
0 ms |
256 KB |
Output is correct |
45 |
Correct |
12 ms |
512 KB |
Output is correct |
46 |
Correct |
17 ms |
512 KB |
Output is correct |
47 |
Correct |
12 ms |
512 KB |
Output is correct |
48 |
Correct |
207 ms |
4216 KB |
Output is correct |
49 |
Correct |
204 ms |
4216 KB |
Output is correct |
50 |
Correct |
0 ms |
256 KB |
Output is correct |
51 |
Correct |
138 ms |
2040 KB |
Output is correct |
52 |
Correct |
36 ms |
760 KB |
Output is correct |
53 |
Correct |
35 ms |
512 KB |
Output is correct |
54 |
Correct |
5 ms |
384 KB |
Output is correct |
55 |
Correct |
5 ms |
384 KB |
Output is correct |
56 |
Correct |
5 ms |
384 KB |
Output is correct |
57 |
Correct |
7 ms |
384 KB |
Output is correct |
58 |
Correct |
1 ms |
256 KB |
Output is correct |
59 |
Correct |
5 ms |
384 KB |
Output is correct |
60 |
Correct |
6 ms |
384 KB |
Output is correct |
61 |
Correct |
5 ms |
384 KB |
Output is correct |
62 |
Correct |
0 ms |
256 KB |
Output is correct |
63 |
Correct |
7 ms |
384 KB |
Output is correct |