Submission #1160900

#	Time	Username	Problem	Language	Result	Execution time	Memory
1160900		Otalp	Travelling Merchant (APIO17_merchant)	C++20	33 / 100	93 ms	1704 KiB

merchant

#include<bits/stdc++.h>
using namespace std;
// #define ll long long
#define pb push_back
#define pii pair<int, int>
#define ff first
#define ss second
#define unm unordered_map
// #define int ll
#define ll __int128

const ll mod = 1e9 + 7;
const int MAXN = 2e5 + 5;
const int MAXA = 2e5 + 5;
const ll INF = 1e30;

// vector<int> q[101], dq[101];
int n, m, k; 
int b[101][1001], s[101][1001];
ll dp[101][101], d[101][101];
ll c[101][101];
vector<int> ord;
int pos[101];

// void dfs0(int v){
//     pos[v] = 1;
//     for(int to: q[v]){
//         if(pos[to]) continue;
//         dfs0(to);
//     }
//     ord.pb(v);
// }

// void dfs1(int v){
//     pos[v] = 1;
//     for(int to: dq[v]){
//         if(pos[to]) continue;
//         dfs1(to);
//     }
// }


bool check(int k){
    for(int i=1; i<=n; i++){
        for(int j=1; j<=n; j++){
            if(dp[i][j] != INF) d[i][j] = k * dp[i][j] - c[i][j];
            else d[i][j] = INF;
        }
    }
    for(int k=1; k<=n; k++){
        for(int i=1; i<=n; i++){
            for(int j=1; j<=n; j++){
                if(d[i][k] != INF and d[k][j] != INF){
                    d[i][j] = min(d[i][j], d[i][k] + d[k][j]);
                }
            }
        }
    }
    for(int i=1; i<=n; i++){
        for(int j=1; j<=n; j++){
            if(i!=j and d[i][j] + d[j][i] <= 0){
                return 1;
            }
        }
    }
    return 0;
}



void solve(){
    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++){
            dp[i][j] = INF;
        }
        dp[i][i] = 0;
    }
    for(int i=1; i<=m; i++){
        int l, r, x;
        cin>>l>>r>>x;
        dp[l][r] = x;
        // q[l].pb(r);
        // dq[r].pb(l);
    }
    for(int k=1; k<=n; k++){
        for(int i=1; i<=n; i++){
            for(int j=1; j<=n; j++){
                if(dp[i][k] != INF and dp[k][j] != INF){
                    dp[i][j] = min(dp[i][j], dp[i][k] + dp[k][j]);
                }
            }
        }
    }
    for(int i=1; i<=n; i++){
        for(int j=1; j<=n; j++){
            c[i][j] = 0;
            for(int d=1; d<=k; d++){
                if(s[j][d] != -1 and b[i][d] != -1) c[i][j] = max(c[i][j], (ll)s[j][d] - b[i][d]);
            }
        }
    }
    
    int l=0, r=1e9 + 10;
    while(l + 1<r){
        int mid=(l + r) / 2;
        if(check(mid)) l = mid;
        else r = mid;
    }
    cout<<l<<'\n';
}

signed main(){
    ios_base::sync_with_stdio(NULL);cin.tie(NULL);cout.tie(NULL);
    int t=1;
    //cin>>t;
    while(t--){
        solve();
        cout<<'\n';
    }
}

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