Submission #258711

#	Time	Username	Problem	Language	Result	Execution time	Memory
258711		aggu_01000101	Travelling Merchant (APIO17_merchant)	C++14	0 / 100	143 ms	3320 KiB

merchant

#include <iostream>
#include <assert.h>
#include <algorithm>
#include <vector>
#include <set>
#include <string>
#include <queue>
#include <map>
#include <bits/stdc++.h>
#define initrand mt19937 mt_rand(time(0));
#define rand mt_rand()
#define int long long
#define INF 10000000000000000
using namespace std;
#define mid(l, u) ((l+u)/2)
//#define cin fin
//#define cout fout
signed main(){
    int n, m, k;
    cin>>n>>m>>k;
    int mat[n][n], p[n][n];
    int b[n][k], s[n][k];
    for(int i =0;i<n;i++){
        for(int j =0 ;j<n;j++){
            mat[i][j] = INF;
            p[i][j] = INF;
        }
        p[i][i] = 0;
        mat[i][i] = 0;
    }
    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<m;i++){
        int u, v, t;
        cin>>u>>v>>t;
        mat[u-1][v-1] = t;
    }
    for(int x = 0;x<n;x++){
        for(int i = 0;i<n;i++){
            for(int j = 0;j<n;j++){
                mat[i][j] = min(mat[i][j], mat[i][x] + mat[x][j]);
            }
            for(int j = 0;j<k;j++){
                p[x][i] = 0;
                if(s[i][j]!=-1 && b[x][j]!=-1) p[x][i] = max(p[x][i], s[i][j] - b[x][j]);
            }
        }
    }
    /*for(int i =0 ;i<n;i++){
        for(int j = 0;j<n;j++){
            cout<<"distance from "<<i<<" to "<<j<<" is "<<mat[i][j]<<endl;
        }
    }*/
    int l = 1;
    int u = 1e12;
    int ans = 0;
    while(l<=u){
        int r = mid(l, u);
        bool found = false;
        int adj[n][n];
        for(int i =0 ;i<n;i++){
            for(int j = 0;j<n;j++){
                adj[i][j] = INF;
                adj[i][j] = min(adj[i][j], -(p[i][j] - r*mat[i][j]));
            }
        }
        for(int x = 0;x<n;x++){
            for(int i = 0;i<n;i++){
                for(int j = 0;j<n;j++){
                    adj[i][j] = min(adj[i][j], adj[i][x] + adj[x][j]);
                }
            }
        }
        for(int i = 0;i<n;i++){
            for(int j =0;j<n;j++){
                if(i==j) continue;
                if((adj[i][j] + adj[j][i]) <= 0){
                    //cout<<i<<" "<<j<<" "<<adj[i][j]<<" "<<j<<" "<<i<<" "<<adj[j][i]<<endl;
                    found = true;
                }
            }
        }
        //cout<<r<<" "<<found<<endl;
        if(found){
            ans = max(ans, r);
            l = r + 1;
        }
        else{
            u = r-1;
        }
    }
    cout<<ans<<endl;
}
/*
4 5 2
10 9 5 2
6 4 20 15
9 7 10 9
-1 -1 16 11
1 2 3
2 3 3
1 4 1
4 3 1
3 1 1
 */

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