#include <bits/stdc++.h>
#pragma GCC optimize("O3,unroll-loops")
#define pb push_back
#define F first
#define S second
#define ld long double
#define int long long
#define all(a) a.begin(),a.end()
#define pii pair <int,int>
#define sz(v) (int)v.size()
#define rep(i , a , b) for(int i=a;i <= (b);i++)
#define per(i , a , b) for(int i=a;i >= (b);i--)
#define deb(x) cout <<#x << " : " << x << "\n" ;
using namespace std ;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int maxn = 202 + 10 , maxk = 1e4, sq = 1e5 , lg = 19, inf = 1e18+10 , mod = 998244353;
int b[maxn][maxk] , s[maxn][maxk] , d[maxn][maxn] , w[maxn][maxn] , sp[maxn] , n;
int dis[maxn][maxn] ;
bool ch(int x){
rep(i , 1, n)sp[i] = 0 ;
rep(i , 1 ,n+1){
rep(j , 1 ,n){
rep(k , 1 , n){
if(d[j][k] == inf)continue ;
sp[k] = min(sp[k] , sp[j] + (-w[j][k] + d[j][k]*x));
if(sp[k] < -(1e17))return 1 ;
}
}
}
rep(j , 1, n){
rep(k , 1, n){
if(d[j][k] == inf)continue ;
if(sp[k] > sp[j]+(-w[j][k]+d[j][k]*x))return 1 ;
}
}
rep(i , 1 , n){
rep(j , 1 , n){
dis[i][j] = inf ;
if(d[i][j] == inf)continue ;
dis[i][j] = (-w[i][j]+d[i][j]*x);
}
dis[i][i] =0 ;
}
rep(i , 1 ,n){
rep(j , 1 ,n){
rep(k, 1 , n){
dis[j][k] = min(dis[j][k] , dis[j][i] + dis[i][k]) ;
}
}
}
rep(i , 1, n){
rep(j , 1 , n){
if(dis[j][i] + (-w[i][j]+d[i][j]*x) == 0)return 1;
}
}
return 0 ;
}
signed main(){
ios_base::sync_with_stdio(false);cin.tie(0);
int m , k ;
cin >> n >> m >> k ;
rep(i , 1, n){
rep(j , 1, k){
cin >> b[i][j] >> s[i][j] ;
}
}
rep(i , 1, n){
rep(j , 1 , n){
w[i][j] = -inf ;
if(i == j)continue ;
w[i][j] = 0 ;
rep(z , 1 , k){
if(b[i][z] == -1 || s[j][z] == -1)continue ;
w[i][j] = max(w[i][j] , -b[i][z] + s[j][z]) ;
}
}
}
rep(i , 1, n){
rep(j , 1 ,n)d[i][j] = inf ;
d[i][i] = 0;
}
while(m--){
int v, u , w ;
cin >> v >> u >> w ;
d[v][u] = min(d[v][u] , w);
}
rep(i ,1 ,n){
rep(j , 1, n){
rep(z, 1 , n){
d[j][z] = min(d[j][z] , d[j][i] + d[i][z]) ;
}
}
}
int l = 0, r =1e9 ;
while(r-l>1){
int mid = (l+r)/2 ;
if(ch(mid) == 1)l=mid ;
else r = mid ;
}
cout << l << "\n";
return 0;
}
/*
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
84 ms |
4432 KB |
Output is correct |
2 |
Correct |
65 ms |
1624 KB |
Output is correct |
3 |
Correct |
56 ms |
1628 KB |
Output is correct |
4 |
Correct |
12 ms |
1116 KB |
Output is correct |
5 |
Correct |
9 ms |
1112 KB |
Output is correct |
6 |
Correct |
11 ms |
1152 KB |
Output is correct |
7 |
Correct |
8 ms |
1112 KB |
Output is correct |
8 |
Correct |
1 ms |
600 KB |
Output is correct |
9 |
Correct |
8 ms |
1148 KB |
Output is correct |
10 |
Correct |
8 ms |
1116 KB |
Output is correct |
11 |
Correct |
9 ms |
1112 KB |
Output is correct |
12 |
Correct |
1 ms |
604 KB |
Output is correct |
13 |
Correct |
8 ms |
1224 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
1152 KB |
Output is correct |
2 |
Correct |
8 ms |
1112 KB |
Output is correct |
3 |
Correct |
1 ms |
600 KB |
Output is correct |
4 |
Correct |
8 ms |
1148 KB |
Output is correct |
5 |
Correct |
8 ms |
1116 KB |
Output is correct |
6 |
Correct |
9 ms |
1112 KB |
Output is correct |
7 |
Correct |
1 ms |
604 KB |
Output is correct |
8 |
Correct |
8 ms |
1224 KB |
Output is correct |
9 |
Correct |
9 ms |
1116 KB |
Output is correct |
10 |
Correct |
8 ms |
1160 KB |
Output is correct |
11 |
Correct |
9 ms |
1116 KB |
Output is correct |
12 |
Correct |
8 ms |
1116 KB |
Output is correct |
13 |
Correct |
9 ms |
1116 KB |
Output is correct |
14 |
Correct |
1 ms |
344 KB |
Output is correct |
15 |
Correct |
6 ms |
1112 KB |
Output is correct |
16 |
Correct |
9 ms |
1192 KB |
Output is correct |
17 |
Correct |
5 ms |
1116 KB |
Output is correct |
18 |
Correct |
7 ms |
1116 KB |
Output is correct |
19 |
Correct |
8 ms |
1112 KB |
Output is correct |
20 |
Correct |
7 ms |
1116 KB |
Output is correct |
21 |
Correct |
8 ms |
1116 KB |
Output is correct |
22 |
Correct |
10 ms |
1196 KB |
Output is correct |
23 |
Correct |
9 ms |
1116 KB |
Output is correct |
24 |
Correct |
12 ms |
1116 KB |
Output is correct |
25 |
Correct |
12 ms |
1116 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
7 ms |
1112 KB |
Output is correct |
28 |
Correct |
8 ms |
1236 KB |
Output is correct |
29 |
Correct |
7 ms |
1200 KB |
Output is correct |
30 |
Correct |
8 ms |
1176 KB |
Output is correct |
31 |
Correct |
7 ms |
1116 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
12 ms |
1116 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
7 ms |
1112 KB |
Output is correct |
4 |
Correct |
8 ms |
1236 KB |
Output is correct |
5 |
Correct |
7 ms |
1200 KB |
Output is correct |
6 |
Correct |
8 ms |
1176 KB |
Output is correct |
7 |
Correct |
7 ms |
1116 KB |
Output is correct |
8 |
Correct |
65 ms |
1880 KB |
Output is correct |
9 |
Correct |
83 ms |
4956 KB |
Output is correct |
10 |
Correct |
66 ms |
1928 KB |
Output is correct |
11 |
Correct |
68 ms |
2136 KB |
Output is correct |
12 |
Correct |
47 ms |
2016 KB |
Output is correct |
13 |
Correct |
57 ms |
1884 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
9 ms |
1116 KB |
Output is correct |
2 |
Correct |
8 ms |
1160 KB |
Output is correct |
3 |
Correct |
9 ms |
1116 KB |
Output is correct |
4 |
Correct |
8 ms |
1116 KB |
Output is correct |
5 |
Correct |
9 ms |
1116 KB |
Output is correct |
6 |
Correct |
1 ms |
344 KB |
Output is correct |
7 |
Correct |
6 ms |
1112 KB |
Output is correct |
8 |
Correct |
9 ms |
1192 KB |
Output is correct |
9 |
Correct |
5 ms |
1116 KB |
Output is correct |
10 |
Correct |
7 ms |
1116 KB |
Output is correct |
11 |
Correct |
8 ms |
1112 KB |
Output is correct |
12 |
Correct |
7 ms |
1116 KB |
Output is correct |
13 |
Correct |
8 ms |
1116 KB |
Output is correct |
14 |
Correct |
10 ms |
1196 KB |
Output is correct |
15 |
Correct |
9 ms |
1116 KB |
Output is correct |
16 |
Correct |
12 ms |
1116 KB |
Output is correct |
17 |
Correct |
65 ms |
1880 KB |
Output is correct |
18 |
Correct |
83 ms |
4956 KB |
Output is correct |
19 |
Correct |
66 ms |
1928 KB |
Output is correct |
20 |
Correct |
68 ms |
2136 KB |
Output is correct |
21 |
Correct |
47 ms |
2016 KB |
Output is correct |
22 |
Correct |
57 ms |
1884 KB |
Output is correct |
23 |
Correct |
12 ms |
1116 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
7 ms |
1112 KB |
Output is correct |
26 |
Correct |
8 ms |
1236 KB |
Output is correct |
27 |
Correct |
7 ms |
1200 KB |
Output is correct |
28 |
Correct |
8 ms |
1176 KB |
Output is correct |
29 |
Correct |
7 ms |
1116 KB |
Output is correct |
30 |
Correct |
84 ms |
4432 KB |
Output is correct |
31 |
Correct |
65 ms |
1624 KB |
Output is correct |
32 |
Correct |
56 ms |
1628 KB |
Output is correct |
33 |
Correct |
12 ms |
1116 KB |
Output is correct |
34 |
Correct |
9 ms |
1112 KB |
Output is correct |
35 |
Correct |
11 ms |
1152 KB |
Output is correct |
36 |
Correct |
8 ms |
1112 KB |
Output is correct |
37 |
Correct |
1 ms |
600 KB |
Output is correct |
38 |
Correct |
8 ms |
1148 KB |
Output is correct |
39 |
Correct |
8 ms |
1116 KB |
Output is correct |
40 |
Correct |
9 ms |
1112 KB |
Output is correct |
41 |
Correct |
1 ms |
604 KB |
Output is correct |
42 |
Correct |
8 ms |
1224 KB |
Output is correct |
43 |
Correct |
75 ms |
1624 KB |
Output is correct |
44 |
Correct |
72 ms |
2140 KB |
Output is correct |
45 |
Correct |
70 ms |
3416 KB |
Output is correct |
46 |
Correct |
79 ms |
1880 KB |
Output is correct |
47 |
Correct |
66 ms |
2128 KB |
Output is correct |
48 |
Correct |
65 ms |
2016 KB |
Output is correct |
49 |
Correct |
88 ms |
5284 KB |
Output is correct |
50 |
Correct |
1 ms |
344 KB |
Output is correct |
51 |
Correct |
1 ms |
576 KB |
Output is correct |
52 |
Correct |
79 ms |
1804 KB |
Output is correct |
53 |
Correct |
66 ms |
2128 KB |
Output is correct |
54 |
Correct |
56 ms |
1884 KB |
Output is correct |
55 |
Correct |
59 ms |
1624 KB |
Output is correct |
56 |
Correct |
65 ms |
1624 KB |
Output is correct |
57 |
Correct |
1 ms |
344 KB |
Output is correct |
58 |
Correct |
9 ms |
1116 KB |
Output is correct |
59 |
Correct |
8 ms |
1312 KB |
Output is correct |
60 |
Correct |
7 ms |
1328 KB |
Output is correct |
61 |
Correct |
100 ms |
5220 KB |
Output is correct |
62 |
Correct |
92 ms |
5216 KB |
Output is correct |
63 |
Correct |
1 ms |
352 KB |
Output is correct |