#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template <class T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
#define int long long int
#define endl '\n'
#define pb push_back
#define pi pair<int, int>
#define pii pair<int, pi>
#define fir first
#define sec second
#define MAXN 100005
#define mod 1000000007
const int inf = LLONG_MAX / 2;
int n, m, k;
int b[101][1001];
int s[101][1001];
int cost[101][101];
int stonks[101][101];
int g[101][101];
vector<int> adj[101];
void floyd(int dist[101][101])
{
for (int k = 0; k < n; k++)
{
for (int i = 0; i < n; i++)
{
for (int j = 0; j < n; j++)
dist[i][j] = min(dist[i][j], dist[i][k] + dist[k][j]);
}
}
}
bool can(int mid)
{
for (int i = 0; i < n; i++)
{
for (int j = 0; j < n; j++)
g[i][j] = -(stonks[i][j] - (min(cost[i][j], inf / mid) * mid));
}
// nesse grafo, agr quero saber se existe um ciclo que a soma dos custos das arestas eh >= 0
floyd(g);
for (int i = 0; i < n; i++)
{
if (g[i][i] <= 0)
return 1;
}
return 0;
}
signed main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
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++)
cost[i][j] = inf;
}
for (int j = 0; j < m; j++)
{
int a, b, c;
cin >> a >> b >> c;
a--, b--;
adj[a].pb(b);
cost[a][b] = c;
}
floyd(cost);
for (int i = 0; i < n; i++)
{
for (int j = 0; j < n; j++)
{
for (int x = 0; x < k; x++)
{
if (s[j][x] == -1 || b[i][x] == -1)
continue;
stonks[i][j] = max(stonks[i][j], s[j][x] - b[i][x]);
}
}
}
int l = 0, r = 1e9;
while (l < r)
{
int mid = (l + r + 1) >> 1;
(can(mid)) ? l = mid : r = mid - 1;
}
cout << l << endl;
return 0;
}
// n mercados
// m arestas de mao unica
// k diferentes items
// cada item tem
// b[i][j] - buy o item j no mercado i
// s[i][j] - sell o item j no mercado i
// arestas de v pra w usando t de tempo
// uma ideia eh
// pensar em resolver pra cada componente fortemente conexa
// busca binaria na resposta
// p / t >= mid
// entao
// p - (t * mid) >= 0
// 0 3 2 0
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
50 ms |
2004 KB |
Output is correct |
2 |
Correct |
36 ms |
1292 KB |
Output is correct |
3 |
Correct |
30 ms |
1236 KB |
Output is correct |
4 |
Correct |
6 ms |
724 KB |
Output is correct |
5 |
Correct |
5 ms |
724 KB |
Output is correct |
6 |
Correct |
5 ms |
724 KB |
Output is correct |
7 |
Correct |
6 ms |
852 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
5 ms |
724 KB |
Output is correct |
10 |
Correct |
5 ms |
724 KB |
Output is correct |
11 |
Correct |
5 ms |
724 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
5 ms |
852 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
724 KB |
Output is correct |
2 |
Correct |
6 ms |
852 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
5 ms |
724 KB |
Output is correct |
5 |
Correct |
5 ms |
724 KB |
Output is correct |
6 |
Correct |
5 ms |
724 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
5 ms |
852 KB |
Output is correct |
9 |
Correct |
5 ms |
852 KB |
Output is correct |
10 |
Correct |
5 ms |
852 KB |
Output is correct |
11 |
Correct |
6 ms |
852 KB |
Output is correct |
12 |
Correct |
5 ms |
852 KB |
Output is correct |
13 |
Correct |
6 ms |
852 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
6 ms |
852 KB |
Output is correct |
16 |
Correct |
5 ms |
852 KB |
Output is correct |
17 |
Correct |
5 ms |
852 KB |
Output is correct |
18 |
Correct |
5 ms |
852 KB |
Output is correct |
19 |
Correct |
6 ms |
852 KB |
Output is correct |
20 |
Correct |
6 ms |
856 KB |
Output is correct |
21 |
Correct |
6 ms |
852 KB |
Output is correct |
22 |
Correct |
5 ms |
852 KB |
Output is correct |
23 |
Correct |
6 ms |
980 KB |
Output is correct |
24 |
Correct |
5 ms |
852 KB |
Output is correct |
25 |
Correct |
6 ms |
852 KB |
Output is correct |
26 |
Correct |
1 ms |
340 KB |
Output is correct |
27 |
Correct |
5 ms |
892 KB |
Output is correct |
28 |
Correct |
6 ms |
852 KB |
Output is correct |
29 |
Correct |
6 ms |
852 KB |
Output is correct |
30 |
Correct |
6 ms |
852 KB |
Output is correct |
31 |
Correct |
5 ms |
852 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
852 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
5 ms |
892 KB |
Output is correct |
4 |
Correct |
6 ms |
852 KB |
Output is correct |
5 |
Correct |
6 ms |
852 KB |
Output is correct |
6 |
Correct |
6 ms |
852 KB |
Output is correct |
7 |
Correct |
5 ms |
852 KB |
Output is correct |
8 |
Correct |
37 ms |
1612 KB |
Output is correct |
9 |
Correct |
77 ms |
2088 KB |
Output is correct |
10 |
Correct |
32 ms |
1364 KB |
Output is correct |
11 |
Correct |
37 ms |
1512 KB |
Output is correct |
12 |
Correct |
36 ms |
1492 KB |
Output is correct |
13 |
Correct |
35 ms |
1364 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
852 KB |
Output is correct |
2 |
Correct |
5 ms |
852 KB |
Output is correct |
3 |
Correct |
6 ms |
852 KB |
Output is correct |
4 |
Correct |
5 ms |
852 KB |
Output is correct |
5 |
Correct |
6 ms |
852 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
6 ms |
852 KB |
Output is correct |
8 |
Correct |
5 ms |
852 KB |
Output is correct |
9 |
Correct |
5 ms |
852 KB |
Output is correct |
10 |
Correct |
5 ms |
852 KB |
Output is correct |
11 |
Correct |
6 ms |
852 KB |
Output is correct |
12 |
Correct |
6 ms |
856 KB |
Output is correct |
13 |
Correct |
6 ms |
852 KB |
Output is correct |
14 |
Correct |
5 ms |
852 KB |
Output is correct |
15 |
Correct |
6 ms |
980 KB |
Output is correct |
16 |
Correct |
5 ms |
852 KB |
Output is correct |
17 |
Correct |
37 ms |
1612 KB |
Output is correct |
18 |
Correct |
77 ms |
2088 KB |
Output is correct |
19 |
Correct |
32 ms |
1364 KB |
Output is correct |
20 |
Correct |
37 ms |
1512 KB |
Output is correct |
21 |
Correct |
36 ms |
1492 KB |
Output is correct |
22 |
Correct |
35 ms |
1364 KB |
Output is correct |
23 |
Correct |
6 ms |
852 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
5 ms |
892 KB |
Output is correct |
26 |
Correct |
6 ms |
852 KB |
Output is correct |
27 |
Correct |
6 ms |
852 KB |
Output is correct |
28 |
Correct |
6 ms |
852 KB |
Output is correct |
29 |
Correct |
5 ms |
852 KB |
Output is correct |
30 |
Correct |
50 ms |
2004 KB |
Output is correct |
31 |
Correct |
36 ms |
1292 KB |
Output is correct |
32 |
Correct |
30 ms |
1236 KB |
Output is correct |
33 |
Correct |
6 ms |
724 KB |
Output is correct |
34 |
Correct |
5 ms |
724 KB |
Output is correct |
35 |
Correct |
5 ms |
724 KB |
Output is correct |
36 |
Correct |
6 ms |
852 KB |
Output is correct |
37 |
Correct |
1 ms |
340 KB |
Output is correct |
38 |
Correct |
5 ms |
724 KB |
Output is correct |
39 |
Correct |
5 ms |
724 KB |
Output is correct |
40 |
Correct |
5 ms |
724 KB |
Output is correct |
41 |
Correct |
1 ms |
340 KB |
Output is correct |
42 |
Correct |
5 ms |
852 KB |
Output is correct |
43 |
Correct |
30 ms |
1424 KB |
Output is correct |
44 |
Correct |
35 ms |
1584 KB |
Output is correct |
45 |
Correct |
45 ms |
2496 KB |
Output is correct |
46 |
Correct |
31 ms |
1552 KB |
Output is correct |
47 |
Correct |
33 ms |
1684 KB |
Output is correct |
48 |
Correct |
33 ms |
1600 KB |
Output is correct |
49 |
Correct |
81 ms |
3948 KB |
Output is correct |
50 |
Correct |
1 ms |
340 KB |
Output is correct |
51 |
Correct |
1 ms |
340 KB |
Output is correct |
52 |
Correct |
32 ms |
1368 KB |
Output is correct |
53 |
Correct |
32 ms |
1492 KB |
Output is correct |
54 |
Correct |
31 ms |
1452 KB |
Output is correct |
55 |
Correct |
31 ms |
1364 KB |
Output is correct |
56 |
Correct |
29 ms |
1364 KB |
Output is correct |
57 |
Correct |
1 ms |
340 KB |
Output is correct |
58 |
Correct |
7 ms |
980 KB |
Output is correct |
59 |
Correct |
6 ms |
996 KB |
Output is correct |
60 |
Correct |
7 ms |
980 KB |
Output is correct |
61 |
Correct |
82 ms |
4300 KB |
Output is correct |
62 |
Correct |
83 ms |
4288 KB |
Output is correct |
63 |
Correct |
1 ms |
340 KB |
Output is correct |