Submission #312758

#	Time	Username	Problem	Language	Result	Execution time	Memory
312758		Kuuhaku	Travelling Merchant (APIO17_merchant)	C++17	21 / 100	99 ms	1472 KiB

merchant

//Oct14
#define tasknames "merchant"
#include <iostream>
#include <stdio.h>
#include <cstring>
#include <algorithm>
#include <vector>
using namespace std;
const int maxn = 105;
int n, m, k, b[maxn][maxn*10], s[maxn][maxn*10];
long long a[maxn][maxn], d[maxn][maxn], vl[maxn][maxn];

void Enter()
{
    cin>>n>>m>>k;
    for(int i=1;i<=n;i++)
        for(int j=1;j<=n;j++)
            if(i!=j)a[i][j]=3e18;
    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<=m;i++)
    {
        int u, v, w;
        cin>>u>>v>>w;
        a[u][v]=min(a[u][v],1ll*w);
    }
}

void Prepare()
{
    for(int t=1;t<=n;t++)
        for(int i=1; i<=n;i++)
            for(int j=1;j<=n;j++)
                a[i][j]=min(a[i][j],a[i][t]+a[t][j]);
    for(int i=1;i<=n;i++)
        for(int j=1;j<=n;j++)
            for(int t=1;t<=k;t++)
            {
                if(b[i][t]==-1||s[j][t]==-1)continue;
                vl[i][j]=max(vl[i][j],1ll*s[j][t]-b[i][t]);
            }
}

bool Check(long long mid)
{
    for(int i=1;i<=n;i++)
        for(int j=1;j<=n;j++)
            d[i][j]=3e18;
    for(int i=1;i<=n;i++)
        for(int j=1;j<=n;j++)
        {
            if(a[i][j]==3e18)continue;
            d[i][j]=min(d[i][j],a[i][j]*mid-vl[i][j]);
        }
    for(int i=1;i<=n;i++)
        d[i][i]=3e18;
    for(int t=1;t<=n;t++)
        for(int i=1;i<=n;i++)
        {
            for(int j=1;j<=n;j++)
                d[i][j]=min(d[i][j],d[i][t]+d[t][j]);
            if(d[i][i]<=0)return true;
        }
    return false;
}

void Solve()
{
    long long l=0, r=1e11, mid;
    while(l<=r)
    {
        mid=(l+r)/2;
        if(Check(mid))
            l=mid+1;
        else r=mid-1;
    }
    cout<<r;
}

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    if(fopen(tasknames".INP","r"))
    {
    	freopen(tasknames".INP","r",stdin);
        freopen(tasknames".OUT","w",stdout);
    }
    Enter();
    Prepare();
    Solve();
}

Compilation message (stderr)

merchant.cpp: In function 'int main()':
merchant.cpp:87:13: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
   87 |      freopen(tasknames".INP","r",stdin);
      |      ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
merchant.cpp:88:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
   88 |         freopen(tasknames".OUT","w",stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~

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