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Submission #881521

# Submission time Handle Problem Language Result Execution time Memory
881521 2023-12-01T11:17:39 Z ttamx Travelling Merchant (APIO17_merchant) C++14
100 / 100
 68 ms 2280 KB 
#include<bits/stdc++.h>

using namespace std;

typedef long long ll;

const int N=105;
const int M=205;
const int K=1005;
const ll inf=1e18;

int n,k,m;
ll b[N][K],s[N][K];
ll dist[N][N],prof[N][N],dp[N][N];

void foyld(ll (&d)[N][N]){
    for(int k=1;k<=n;k++)for(int i=1;i<=n;i++)for(int j=1;j<=n;j++)d[i][j]=min(d[i][j],d[i][k]+d[k][j]);
}

bool check(ll cost){
    for(int i=1;i<=n;i++)for(int j=1;j<=n;j++)dp[i][j]=dist[i][j]<inf?dist[i][j]*cost-prof[i][j]:inf;
    foyld(dp);
    for(int i=1;i<=n;i++)if(dp[i][i]<=0)return true;
    return false;
}

int main(){
    cin.tie(nullptr)->sync_with_stdio(false);
    cin >> n >> m >> k;
    for(int i=1;i<=n;i++)for(int j=1;j<=k;j++)cin >> b[i][j] >> s[i][j];
    for(int i=1;i<=n;i++)for(int j=1;j<=n;j++)dist[i][j]=inf;
    for(int i=1;i<=m;i++){
        int u,v,w;
        cin >> u >> v >> w;
        dist[u][v]=w;
    }
    foyld(dist);
    for(int i=1;i<=n;i++)for(int j=1;j<=n;j++)for(int k=1;k<=::k;k++)if(b[i][k]>0&&s[j][k]>0)
            prof[i][j]=max(prof[i][j],s[j][k]-b[i][k]);
    ll l=0,r=1e9;
    while(l<r){
        ll m=(l+r+1)/2;
        if(check(m))l=m;
        else r=m-1;
    }
    cout << l << "\n";
}

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 56 ms 2128 KB Output is correct
2 Correct 26 ms 1368 KB Output is correct
3 Correct 33 ms 1436 KB Output is correct
4 Correct 4 ms 856 KB Output is correct
5 Correct 4 ms 856 KB Output is correct
6 Correct 4 ms 956 KB Output is correct
7 Correct 4 ms 860 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 4 ms 860 KB Output is correct
10 Correct 4 ms 856 KB Output is correct
11 Correct 4 ms 740 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 4 ms 860 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 956 KB Output is correct
2 Correct 4 ms 860 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 4 ms 860 KB Output is correct
5 Correct 4 ms 856 KB Output is correct
6 Correct 4 ms 740 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 4 ms 860 KB Output is correct
9 Correct 4 ms 860 KB Output is correct
10 Correct 4 ms 860 KB Output is correct
11 Correct 4 ms 860 KB Output is correct
12 Correct 4 ms 860 KB Output is correct
13 Correct 4 ms 1024 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 4 ms 860 KB Output is correct
16 Correct 4 ms 1028 KB Output is correct
17 Correct 4 ms 860 KB Output is correct
18 Correct 4 ms 1016 KB Output is correct
19 Correct 5 ms 936 KB Output is correct
20 Correct 4 ms 1024 KB Output is correct
21 Correct 5 ms 860 KB Output is correct
22 Correct 5 ms 860 KB Output is correct
23 Correct 4 ms 860 KB Output is correct
24 Correct 4 ms 860 KB Output is correct
25 Correct 4 ms 860 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 4 ms 860 KB Output is correct
28 Correct 4 ms 860 KB Output is correct
29 Correct 4 ms 860 KB Output is correct
30 Correct 4 ms 860 KB Output is correct
31 Correct 4 ms 860 KB Output is correct

Subtask #3
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 860 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 4 ms 860 KB Output is correct
4 Correct 4 ms 860 KB Output is correct
5 Correct 4 ms 860 KB Output is correct
6 Correct 4 ms 860 KB Output is correct
7 Correct 4 ms 860 KB Output is correct
8 Correct 30 ms 1652 KB Output is correct
9 Correct 49 ms 2280 KB Output is correct
10 Correct 28 ms 1372 KB Output is correct
11 Correct 30 ms 1880 KB Output is correct
12 Correct 36 ms 1624 KB Output is correct
13 Correct 28 ms 1372 KB Output is correct

Subtask #4
34.0 / 34.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 860 KB Output is correct
2 Correct 4 ms 860 KB Output is correct
3 Correct 4 ms 860 KB Output is correct
4 Correct 4 ms 860 KB Output is correct
5 Correct 4 ms 1024 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 4 ms 860 KB Output is correct
8 Correct 4 ms 1028 KB Output is correct
9 Correct 4 ms 860 KB Output is correct
10 Correct 4 ms 1016 KB Output is correct
11 Correct 5 ms 936 KB Output is correct
12 Correct 4 ms 1024 KB Output is correct
13 Correct 5 ms 860 KB Output is correct
14 Correct 5 ms 860 KB Output is correct
15 Correct 4 ms 860 KB Output is correct
16 Correct 4 ms 860 KB Output is correct
17 Correct 30 ms 1652 KB Output is correct
18 Correct 49 ms 2280 KB Output is correct
19 Correct 28 ms 1372 KB Output is correct
20 Correct 30 ms 1880 KB Output is correct
21 Correct 36 ms 1624 KB Output is correct
22 Correct 28 ms 1372 KB Output is correct
23 Correct 4 ms 860 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 4 ms 860 KB Output is correct
26 Correct 4 ms 860 KB Output is correct
27 Correct 4 ms 860 KB Output is correct
28 Correct 4 ms 860 KB Output is correct
29 Correct 4 ms 860 KB Output is correct
30 Correct 56 ms 2128 KB Output is correct
31 Correct 26 ms 1368 KB Output is correct
32 Correct 33 ms 1436 KB Output is correct
33 Correct 4 ms 856 KB Output is correct
34 Correct 4 ms 856 KB Output is correct
35 Correct 4 ms 956 KB Output is correct
36 Correct 4 ms 860 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 4 ms 860 KB Output is correct
39 Correct 4 ms 856 KB Output is correct
40 Correct 4 ms 740 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 4 ms 860 KB Output is correct
43 Correct 28 ms 1368 KB Output is correct
44 Correct 34 ms 1628 KB Output is correct
45 Correct 44 ms 2168 KB Output is correct
46 Correct 29 ms 1628 KB Output is correct
47 Correct 29 ms 1628 KB Output is correct
48 Correct 29 ms 1624 KB Output is correct
49 Correct 56 ms 2140 KB Output is correct
50 Correct 0 ms 344 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 28 ms 1492 KB Output is correct
53 Correct 29 ms 1372 KB Output is correct
54 Correct 28 ms 1372 KB Output is correct
55 Correct 28 ms 1512 KB Output is correct
56 Correct 28 ms 1372 KB Output is correct
57 Correct 0 ms 348 KB Output is correct
58 Correct 5 ms 860 KB Output is correct
59 Correct 5 ms 860 KB Output is correct
60 Correct 5 ms 856 KB Output is correct
61 Correct 68 ms 2276 KB Output is correct
62 Correct 53 ms 2140 KB Output is correct
63 Correct 0 ms 348 KB Output is correct