#include<bits/stdc++.h>
using namespace std;
typedef long long int ll;
typedef long double ld;
#define f first
#define s second
const int N = 100 + 100;
const int K = 1000 + 100;
const ll mod = 998244353;
const ll inf = 1e9 + 100;
int n, m, k;
ll dis[N][N], Dis[N][N], prf[N][N], s[N][K], b[N][K];
inline bool check(ll mid)
{
for(int i = 0; i < n; i++)
{
for(int j = 0; j < n; j++)
{
if(dis[i][j] == inf)
Dis[i][j] = -inf;
else
Dis[i][j] = prf[i][j] - dis[i][j] * mid;
}
Dis[i][i] = -inf;
}
/*
for(int i = 0; i < n; i++)
{
for(int j = 0; j < n; j++)
{
cout << i+1 << ' ' << j+1 << ' ' << Dis[i][j] << endl;
}
}
*/
for(int t = 0; t < n; t++)
{
for(int i = 0; i < n; i++)
{
for(int j = 0; j < n; j++)
{
Dis[i][j] = max(Dis[i][j], Dis[i][t] + Dis[t][j]);
}
}
}
for(int i = 0; i < n; i++)
{
if(Dis[i][i] >= 0)
return 1;
}
return 0;
}
inline void floyd()
{
for(int t = 0; t < n; t++)
{
for(int i = 0; i < n; i++)
{
for(int j = 0; j < n; j++)
{
dis[i][j] = min(dis[i][j], dis[i][t] + dis[t][j]);
}
}
}
}
inline ll max_profit(int u, int v)
{
ll ans = 0;
for(int i = 0; i < k; i++)
{
if(s[v][i] != -1 && b[u][i] != -1)
ans = max(ans, s[v][i] - b[u][i]);
}
return ans;
}
int main()
{
ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0);
cin >> n >> m >> k;
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 < n; i++)
{
for(int j = 0; j < n; j++)
{
dis[i][j] = inf;
prf[i][j] = max_profit(i, j);
}
dis[i][i] = 0;
}
for(int i = 0; i < m; i++)
{
int x, y, w;
cin >> x >> y >> w;
x--; y--;
dis[x][y] = w;
}
floyd();
/*
cout << "//////////////////////////////////" << endl;
for(int i = 0; i < n; i++)
{
for(int j = 0; j < n; j++)
{
cout << i+1 << ' ' << j+1 << ' ' << dis[i][j] << ' ' << prf[i][j] << endl;
}
}
cout << "//////////////////////////////////" << endl;
*/
ll l = 0, r = inf;
while(l + 1 < r)
{
ll mid = (l + r) / 2;
if(check(mid))
{
l = mid;
}
else
{
r = mid;
}
}
cout << l << endl;
return 0;
}
/*/
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 |
72 ms |
3436 KB |
Output is correct |
2 |
Correct |
46 ms |
1644 KB |
Output is correct |
3 |
Correct |
40 ms |
1772 KB |
Output is correct |
4 |
Correct |
6 ms |
1004 KB |
Output is correct |
5 |
Correct |
7 ms |
1152 KB |
Output is correct |
6 |
Correct |
6 ms |
1004 KB |
Output is correct |
7 |
Correct |
7 ms |
1004 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
6 ms |
1004 KB |
Output is correct |
10 |
Correct |
6 ms |
1004 KB |
Output is correct |
11 |
Correct |
8 ms |
1004 KB |
Output is correct |
12 |
Correct |
1 ms |
492 KB |
Output is correct |
13 |
Correct |
7 ms |
1004 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
1004 KB |
Output is correct |
2 |
Correct |
7 ms |
1004 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
6 ms |
1004 KB |
Output is correct |
5 |
Correct |
6 ms |
1004 KB |
Output is correct |
6 |
Correct |
8 ms |
1004 KB |
Output is correct |
7 |
Correct |
1 ms |
492 KB |
Output is correct |
8 |
Correct |
7 ms |
1004 KB |
Output is correct |
9 |
Correct |
6 ms |
1024 KB |
Output is correct |
10 |
Correct |
6 ms |
1004 KB |
Output is correct |
11 |
Correct |
7 ms |
1004 KB |
Output is correct |
12 |
Correct |
6 ms |
1004 KB |
Output is correct |
13 |
Correct |
7 ms |
1132 KB |
Output is correct |
14 |
Correct |
1 ms |
364 KB |
Output is correct |
15 |
Correct |
6 ms |
1004 KB |
Output is correct |
16 |
Correct |
6 ms |
1004 KB |
Output is correct |
17 |
Correct |
7 ms |
1004 KB |
Output is correct |
18 |
Correct |
7 ms |
1004 KB |
Output is correct |
19 |
Correct |
16 ms |
1132 KB |
Output is correct |
20 |
Correct |
10 ms |
1132 KB |
Output is correct |
21 |
Correct |
7 ms |
1004 KB |
Output is correct |
22 |
Correct |
7 ms |
1004 KB |
Output is correct |
23 |
Correct |
11 ms |
1132 KB |
Output is correct |
24 |
Correct |
7 ms |
1004 KB |
Output is correct |
25 |
Correct |
7 ms |
1004 KB |
Output is correct |
26 |
Correct |
1 ms |
364 KB |
Output is correct |
27 |
Correct |
7 ms |
1132 KB |
Output is correct |
28 |
Correct |
7 ms |
1132 KB |
Output is correct |
29 |
Correct |
7 ms |
1132 KB |
Output is correct |
30 |
Correct |
7 ms |
1004 KB |
Output is correct |
31 |
Correct |
6 ms |
1004 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
7 ms |
1004 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
7 ms |
1132 KB |
Output is correct |
4 |
Correct |
7 ms |
1132 KB |
Output is correct |
5 |
Correct |
7 ms |
1132 KB |
Output is correct |
6 |
Correct |
7 ms |
1004 KB |
Output is correct |
7 |
Correct |
6 ms |
1004 KB |
Output is correct |
8 |
Correct |
42 ms |
1900 KB |
Output is correct |
9 |
Correct |
75 ms |
3712 KB |
Output is correct |
10 |
Correct |
40 ms |
1772 KB |
Output is correct |
11 |
Correct |
43 ms |
2028 KB |
Output is correct |
12 |
Correct |
52 ms |
2028 KB |
Output is correct |
13 |
Correct |
44 ms |
1644 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
1024 KB |
Output is correct |
2 |
Correct |
6 ms |
1004 KB |
Output is correct |
3 |
Correct |
7 ms |
1004 KB |
Output is correct |
4 |
Correct |
6 ms |
1004 KB |
Output is correct |
5 |
Correct |
7 ms |
1132 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
6 ms |
1004 KB |
Output is correct |
8 |
Correct |
6 ms |
1004 KB |
Output is correct |
9 |
Correct |
7 ms |
1004 KB |
Output is correct |
10 |
Correct |
7 ms |
1004 KB |
Output is correct |
11 |
Correct |
16 ms |
1132 KB |
Output is correct |
12 |
Correct |
10 ms |
1132 KB |
Output is correct |
13 |
Correct |
7 ms |
1004 KB |
Output is correct |
14 |
Correct |
7 ms |
1004 KB |
Output is correct |
15 |
Correct |
11 ms |
1132 KB |
Output is correct |
16 |
Correct |
7 ms |
1004 KB |
Output is correct |
17 |
Correct |
42 ms |
1900 KB |
Output is correct |
18 |
Correct |
75 ms |
3712 KB |
Output is correct |
19 |
Correct |
40 ms |
1772 KB |
Output is correct |
20 |
Correct |
43 ms |
2028 KB |
Output is correct |
21 |
Correct |
52 ms |
2028 KB |
Output is correct |
22 |
Correct |
44 ms |
1644 KB |
Output is correct |
23 |
Correct |
7 ms |
1004 KB |
Output is correct |
24 |
Correct |
1 ms |
364 KB |
Output is correct |
25 |
Correct |
7 ms |
1132 KB |
Output is correct |
26 |
Correct |
7 ms |
1132 KB |
Output is correct |
27 |
Correct |
7 ms |
1132 KB |
Output is correct |
28 |
Correct |
7 ms |
1004 KB |
Output is correct |
29 |
Correct |
6 ms |
1004 KB |
Output is correct |
30 |
Correct |
72 ms |
3436 KB |
Output is correct |
31 |
Correct |
46 ms |
1644 KB |
Output is correct |
32 |
Correct |
40 ms |
1772 KB |
Output is correct |
33 |
Correct |
6 ms |
1004 KB |
Output is correct |
34 |
Correct |
7 ms |
1152 KB |
Output is correct |
35 |
Correct |
6 ms |
1004 KB |
Output is correct |
36 |
Correct |
7 ms |
1004 KB |
Output is correct |
37 |
Correct |
1 ms |
364 KB |
Output is correct |
38 |
Correct |
6 ms |
1004 KB |
Output is correct |
39 |
Correct |
6 ms |
1004 KB |
Output is correct |
40 |
Correct |
8 ms |
1004 KB |
Output is correct |
41 |
Correct |
1 ms |
492 KB |
Output is correct |
42 |
Correct |
7 ms |
1004 KB |
Output is correct |
43 |
Correct |
42 ms |
1644 KB |
Output is correct |
44 |
Correct |
50 ms |
1900 KB |
Output is correct |
45 |
Correct |
62 ms |
3052 KB |
Output is correct |
46 |
Correct |
42 ms |
1872 KB |
Output is correct |
47 |
Correct |
48 ms |
1900 KB |
Output is correct |
48 |
Correct |
42 ms |
1908 KB |
Output is correct |
49 |
Correct |
79 ms |
4560 KB |
Output is correct |
50 |
Correct |
1 ms |
492 KB |
Output is correct |
51 |
Correct |
1 ms |
492 KB |
Output is correct |
52 |
Correct |
39 ms |
1644 KB |
Output is correct |
53 |
Correct |
43 ms |
1772 KB |
Output is correct |
54 |
Correct |
41 ms |
1768 KB |
Output is correct |
55 |
Correct |
42 ms |
1772 KB |
Output is correct |
56 |
Correct |
39 ms |
1644 KB |
Output is correct |
57 |
Correct |
1 ms |
364 KB |
Output is correct |
58 |
Correct |
11 ms |
1132 KB |
Output is correct |
59 |
Correct |
8 ms |
1132 KB |
Output is correct |
60 |
Correct |
8 ms |
1132 KB |
Output is correct |
61 |
Correct |
80 ms |
4588 KB |
Output is correct |
62 |
Correct |
78 ms |
4588 KB |
Output is correct |
63 |
Correct |
1 ms |
364 KB |
Output is correct |