Submission #309796

#	Time	Username	Problem	Language	Result	Execution time	Memory
309796		vipghn2003	Travelling Merchant (APIO17_merchant)	C++14	0 / 100	259 ms	2296 KiB

merchant

#include<bits/stdc++.h>
#define int long long
#define pii pair<int,int>
#define fi first
#define se second
#define mp make_pair
using namespace std;

const int N=105;
const int K=1005;
int n,m,k,d[N][N],buy[N][K],sell[N][K],opt[N][N],w[N][N];

bool check(int lim)
{
    for(int i=1;i<=n;i++)
    {
        for(int j=1;j<=n;j++)
        {
            w[i][j]=-1e18;
            for(int u=1;u<=n;u++)
            {
                if(d[i][u]==-1||d[u][j]==-1) continue;
                int dist=d[i][u]+d[u][j];
                int gain=opt[u][j];
                w[i][j]=max(w[i][j],gain-dist*lim);
            }
        }
    }
    for(int k=1;k<=n;k++)
    {
        for(int i=1;i<=n;i++)
        {
            for(int j=1;j<=n;j++)
            {
                w[i][j]=max(w[i][j],w[i][k]+w[k][j]);
                if(w[i][i]>=0) return true;
            }
        }
    }
    return false;
}

main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    memset(d,-1,sizeof d);
    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];
    }
    while(m--)
    {
        int u,v,w;
        cin>>u>>v>>w;
        d[u][v]=w;
    }
    for(int u=1;u<=n;u++)
    {
        for(int i=1;i<=n;i++)
        {
            for(int j=1;j<=n;j++)
            {
                if(d[i][u]==-1||d[u][j]==-1) continue;
                int val=d[i][u]+d[u][j];
                if(d[i][j]==-1||d[i][j]>val) d[i][j]=val;
            }
        }
    }
    for(int u=1;u<=n;u++)
    {
        for(int v=1;v<=n;v++)
        {
            opt[u][v]=-1e18;
            for(int item=1;item<=k;item++)
            {
                if(buy[u][item]==-1||sell[v][item]==-1) continue;
                opt[u][v]=max(opt[u][v],sell[v][item]-buy[u][item]);
            }
        }
    }
    long long l=1,r=1e18,res=0;
    while(l<=r)
    {
        long long mid=(l+r)/2;
        if(check(mid))
        {
            res=mid;
            l=mid+1;
        }
        else r=mid-1;
    }
    cout<<res;
}
/*
50 144 5
669304181 -1 479970956 -1 167649828 -1 470258299 -1 885426197 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 952670542
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 485876430 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 893900443 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 575906768 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 941456320 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
32 39 1
49 38 1
21 12 1
35 2 1
32 11 1
46 20 1
4 11 1
26 20 1
18 6 1
48 45 1
20 47 1
18 22 1
47 3 1
43 47 1
13 11 1
13 39 1
27 9 1
34 50 1
11 18 1
4 25 1
41 20 1
26 37 1
28 7 1
7 22 1
1 46 1
3 1 1
46 18 1
47 1 1
41 8 1
11 29 1
47 36 1
43 48 1
33 37 1
45 49 1
42 30 1
30 38 1
47 15 1
3 27 1
32 29 1
17 2 1
50 49 1
4 21 1
48 39 1
28 38 1
34 18 1
31 21 1
50 45 1
16 12 1
1 50 1
44 17 1
43 40 1
32 42 1
41 24 1
8 37 1
20 34 1
23 46 1
42 34 1
7 17 1
21 34 1
30 47 1
27 22 1
6 23 1
33 14 1
31 37 1
7 2 1
22 28 1
48 32 1
30 5 1
22 35 1
39 19 1
6 36 1
5 3 1
30 23 1
45 12 1
23 16 1
18 1 1
14 41 1
20 7 1
40 26 1
15 20 1
19 33 1
48 19 1
47 43 1
36 49 1
20 4 1
43 5 1
1 14 1
48 9 1
9 29 1
4 26 1
3 2 1
29 41 1
27 13 1
22 42 1
39 2 1
21 32 1
26 33 1
32 10 1
4 48 1
15 49 1
32 21 1
50 31 1
25 8 1
50 41 1
27 12 1
9 1 1
19 29 1
31 27 1
28 13 1
4 7 1
25 26 1
22 37 1
38 1 1
34 39 1
24 22 1
27 31 1
5 30 1
20 30 1
8 22 1
13 6 1
6 30 1
9 24 1
18 17 1
29 1 1
2 29 1
43 44 1
46 35 1
40 3 1
5 16 1
50 4 1
5 10 1
50 44 1
10 38 1
18 28 1
15 43 1
37 1 1
12 43 1
2 44 1
15 25 1
25 40 1
1 30 1
10 22 1
46 47 1
25 45 1
*/

Compilation message (stderr)

merchant.cpp:43:6: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
   43 | main()
      |      ^

• Subtask 1: 0 / 12
• Subtask 2: 0 / 21
• Subtask 3: 0 / 33
• Subtask 4: 0 / 34