Submission #945491

#	Time	Username	Problem	Language	Result	Execution time	Memory
945491		Wael	Travelling Merchant (APIO17_merchant)	C++17	12 / 100	49 ms	2136 KiB

merchant

#include <bits/stdc++.h>
using namespace std;
#define log(x) (63^__builtin_clzll(x))
#define endl '\n'
#define all(x) (x).begin() , (x).end()
const int mod = 1e9 + 7, lg = 22 , N = 1e6 + 1;
#define int long long

void solve() {
    int n, m, k;
    cin >> n >> m >> k;
    vector<vector<int>> b(n, vector<int>(k)), s(n, vector<int>(k));
    for(int i = 0; i < n; ++i) 
        for(int item = 0; item < k; ++item)
            cin >> b[i][item] >> s[i][item];

    vector<vector<int>> dis(n, vector<int>(n, 1e9)), maxGain(n, vector<int>(n, 0));

    for(int i = 0; i < m; ++i) {
        int u, v, len;
        cin >> u >> v >> len;
        --u, --v;
        dis[u][v] = min(dis[u][v], len);
    }

    for(int mid = 0; mid < n; ++mid) 
        for(int start = 0; start < n; ++start)
            for(int end = 0; end < n; ++end)
                dis[start][end] = min(dis[start][end], dis[start][mid] + dis[mid][end]);
    
    for(int i = 0; i < n; ++i) {
        for(int j = 0; j < n; ++j) {
            if(dis[i][j] == 1e9) continue;
            for(int item = 0; item < k; ++item) 
                if(s[j][item] != -1 && b[i][item] != -1)
                   maxGain[i][j] = max(maxGain[i][j], s[j][item] - b[i][item]);
        }
    }
    
    int l = 0, r = 1e9;
    while(l <= r) {
        int mid = (l + r) / 2;
        
        vector<vector<long long>> dp(n, vector<long long>(n, -1e18));
        for(int i = 0; i < n; ++i) {
            for(int j = 0; j < n; ++j) {
                if(dis[i][j] == 1e9) continue;
                dp[i][j] = max(dp[i][j], (long long)maxGain[i][j] - (long long)dis[i][j] * mid);
            }
        }

        for(int mid = 0; mid < n; ++mid) 
            for(int start = 0; start < n; ++start)
                for(int end = 0; end < n; ++end)
                    dp[start][end] = max(dp[start][end], dp[start][mid] + dp[mid][end]);

        int ok = 0;
        for(int i = 0; i < n; ++i) {
            if(maxGain[i][i] / dis[i][i] >= mid) ok = 1;
            for(int j = 0; j < n; ++j) {
                if(dis[i][j] == 1e9) continue;
                long long cost = -(long long)dis[i][j] * mid;
                if(dp[j][i] + cost >= 0) ok = 1;
            }
        }

        if(ok) l = mid + 1;
        else r = mid - 1;
    }

    cout << max(0ll, l - 1) << endl;
    return;
}

main() {
    ios_base::sync_with_stdio(false);cout.tie(nullptr);cin.tie(nullptr);
   
    int t;
    //cin >> t; 
    t = 1;
    while(t--) solve();

    return 0;
}

Compilation message (stderr)

merchant.cpp:75:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
   75 | main() {
      | ^~~~

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