Submission #57851

# Submission time Handle Problem Language Result Execution time Memory
57851 2018-07-16T10:36:10 Z Jeez Travelling Merchant (APIO17_merchant) C++14
100 / 100
278 ms 2656 KB
#include <iostream>
using namespace std;
typedef long long ll;
const ll INF = 1e10;
const int MAX_N = 100 + 9;
const int MAX_K = 1000 + 9;
int n, m, K;
ll buy[MAX_N][MAX_K], sell[MAX_N][MAX_K];
ll w[MAX_N][MAX_N], dist[MAX_N][MAX_N], profit[MAX_N][MAX_N];
ll g[MAX_N][MAX_N];

void read(){
    cin >> n >> m >> K;
    for(int i = 1; i <= n; i++)
        for(int j = 1; j <= K; j++)
            cin >> buy[i][j] >> sell[i][j];

    for(int i = 0; i < m; i++){
        int u, v;
        ll w;
        cin >> u >> v >> w;
        dist[u][v] = w;
    }
}

void init(){
    for(int i = 1; i < MAX_N; i++){
        for(int j = 1; j < MAX_N; j++)
            dist[i][j] = INF;
        dist[i][i] = 0;
    }
}

void floyd(){
    for(int k = 1; k <= n; k++)
        for(int i = 1; i <= n; i++)
            for(int j = 1; j <= n; j++)
                    dist[i][j] = min(dist[i][j], dist[i][k] + dist[k][j]);
}

bool check(ll rat){
    for(int i = 1; i <= n; i++)
        for(int j = 1; j <= n; j++)
            g[i][j] = profit[i][j] - rat * dist[i][j];

    for(int k = 1; k <= n; k++)
        for(int i = 1; i <= n; i++)
            for(int j = 1; j <= n; j++)
                if(i != j && dist[i][k] < INF && dist[k][j] < INF)
                    g[i][j] = max(g[i][j], g[i][k] + g[k][j]);

    for(int i = 1; i <= n; i++)
        for(int j = i + 1; j <= n; j++)
            if(g[i][j] + g[j][i] >= 0 && dist[i][j] < INF && dist[j][i] < INF)
                return true;

    return false;
}

void solve(){
    for(int i = 1; i <= n; i++)
        for(int j = 1; j <= n; j++)
            for(int k = 1; k <= K; k++){
                if(sell[j][k] == -1 || buy[i][k] == -1) continue;
                profit[i][j] = max(profit[i][j], sell[j][k] - buy[i][k]);
            }

    ll lo = 1, hi = 1e9 + 1, mid, ans = 0;
    while(lo <= hi){
        mid = (lo + hi) / 2;
        if(check(mid)){
            ans = mid;
            lo = mid + 1;
        } else
            hi = mid - 1;
    }

    cout << ans << '\n';
}

int main()
{
    init();
    read();
    floyd();
    solve();
    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 240 ms 2116 KB Output is correct
2 Correct 70 ms 2116 KB Output is correct
3 Correct 68 ms 2116 KB Output is correct
4 Correct 17 ms 2116 KB Output is correct
5 Correct 14 ms 2116 KB Output is correct
6 Correct 16 ms 2116 KB Output is correct
7 Correct 15 ms 2116 KB Output is correct
8 Correct 3 ms 2116 KB Output is correct
9 Correct 17 ms 2116 KB Output is correct
10 Correct 13 ms 2116 KB Output is correct
11 Correct 18 ms 2116 KB Output is correct
12 Correct 0 ms 2116 KB Output is correct
13 Correct 12 ms 2116 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 14 ms 2116 KB Output is correct
2 Correct 13 ms 2116 KB Output is correct
3 Correct 18 ms 2116 KB Output is correct
4 Correct 17 ms 2116 KB Output is correct
5 Correct 19 ms 2116 KB Output is correct
6 Correct 3 ms 2116 KB Output is correct
7 Correct 14 ms 2116 KB Output is correct
8 Correct 14 ms 2116 KB Output is correct
9 Correct 10 ms 2116 KB Output is correct
10 Correct 11 ms 2116 KB Output is correct
11 Correct 16 ms 2116 KB Output is correct
12 Correct 17 ms 2116 KB Output is correct
13 Correct 14 ms 2116 KB Output is correct
14 Correct 13 ms 2116 KB Output is correct
15 Correct 17 ms 2116 KB Output is correct
16 Correct 12 ms 2116 KB Output is correct
17 Correct 15 ms 2116 KB Output is correct
18 Correct 3 ms 2116 KB Output is correct
19 Correct 20 ms 2116 KB Output is correct
20 Correct 17 ms 2116 KB Output is correct
21 Correct 19 ms 2116 KB Output is correct
22 Correct 18 ms 2116 KB Output is correct
23 Correct 13 ms 2116 KB Output is correct
24 Correct 16 ms 2116 KB Output is correct
25 Correct 15 ms 2116 KB Output is correct
26 Correct 3 ms 2116 KB Output is correct
27 Correct 17 ms 2116 KB Output is correct
28 Correct 13 ms 2116 KB Output is correct
29 Correct 18 ms 2116 KB Output is correct
30 Correct 0 ms 2116 KB Output is correct
31 Correct 12 ms 2116 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 89 ms 2116 KB Output is correct
2 Correct 203 ms 2576 KB Output is correct
3 Correct 78 ms 2576 KB Output is correct
4 Correct 85 ms 2576 KB Output is correct
5 Correct 86 ms 2576 KB Output is correct
6 Correct 82 ms 2576 KB Output is correct
7 Correct 15 ms 2116 KB Output is correct
8 Correct 3 ms 2116 KB Output is correct
9 Correct 20 ms 2116 KB Output is correct
10 Correct 17 ms 2116 KB Output is correct
11 Correct 19 ms 2116 KB Output is correct
12 Correct 18 ms 2116 KB Output is correct
13 Correct 13 ms 2116 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 14 ms 2116 KB Output is correct
2 Correct 13 ms 2116 KB Output is correct
3 Correct 18 ms 2116 KB Output is correct
4 Correct 17 ms 2116 KB Output is correct
5 Correct 19 ms 2116 KB Output is correct
6 Correct 3 ms 2116 KB Output is correct
7 Correct 14 ms 2116 KB Output is correct
8 Correct 14 ms 2116 KB Output is correct
9 Correct 10 ms 2116 KB Output is correct
10 Correct 11 ms 2116 KB Output is correct
11 Correct 16 ms 2116 KB Output is correct
12 Correct 17 ms 2116 KB Output is correct
13 Correct 14 ms 2116 KB Output is correct
14 Correct 13 ms 2116 KB Output is correct
15 Correct 17 ms 2116 KB Output is correct
16 Correct 12 ms 2116 KB Output is correct
17 Correct 89 ms 2116 KB Output is correct
18 Correct 203 ms 2576 KB Output is correct
19 Correct 78 ms 2576 KB Output is correct
20 Correct 85 ms 2576 KB Output is correct
21 Correct 86 ms 2576 KB Output is correct
22 Correct 82 ms 2576 KB Output is correct
23 Correct 15 ms 2116 KB Output is correct
24 Correct 3 ms 2116 KB Output is correct
25 Correct 20 ms 2116 KB Output is correct
26 Correct 17 ms 2116 KB Output is correct
27 Correct 19 ms 2116 KB Output is correct
28 Correct 18 ms 2116 KB Output is correct
29 Correct 13 ms 2116 KB Output is correct
30 Correct 82 ms 2576 KB Output is correct
31 Correct 101 ms 2576 KB Output is correct
32 Correct 132 ms 2576 KB Output is correct
33 Correct 112 ms 2576 KB Output is correct
34 Correct 79 ms 2576 KB Output is correct
35 Correct 78 ms 2576 KB Output is correct
36 Correct 278 ms 2656 KB Output is correct
37 Correct 2 ms 2656 KB Output is correct
38 Correct 3 ms 2656 KB Output is correct
39 Correct 80 ms 2656 KB Output is correct
40 Correct 83 ms 2656 KB Output is correct
41 Correct 72 ms 2656 KB Output is correct
42 Correct 84 ms 2656 KB Output is correct
43 Correct 87 ms 2656 KB Output is correct
44 Correct 2 ms 2656 KB Output is correct
45 Correct 22 ms 2656 KB Output is correct
46 Correct 21 ms 2656 KB Output is correct
47 Correct 17 ms 2656 KB Output is correct
48 Correct 251 ms 2656 KB Output is correct
49 Correct 241 ms 2656 KB Output is correct
50 Correct 2 ms 2656 KB Output is correct
51 Correct 240 ms 2116 KB Output is correct
52 Correct 70 ms 2116 KB Output is correct
53 Correct 68 ms 2116 KB Output is correct
54 Correct 17 ms 2116 KB Output is correct
55 Correct 14 ms 2116 KB Output is correct
56 Correct 16 ms 2116 KB Output is correct
57 Correct 15 ms 2116 KB Output is correct
58 Correct 3 ms 2116 KB Output is correct
59 Correct 17 ms 2116 KB Output is correct
60 Correct 13 ms 2116 KB Output is correct
61 Correct 18 ms 2116 KB Output is correct
62 Correct 0 ms 2116 KB Output is correct
63 Correct 12 ms 2116 KB Output is correct