제출 #540805

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
540805		Lobo	여행하는 상인 (APIO17_merchant)	C++17	0 / 100	1100 ms	4484 KiB

merchant

#include<bits/stdc++.h>
using namespace std;
 
const long long inf = (long long) 1e18 + 10;
const int inf1 = (int) 1e9 + 10;
#define int long long
#define dbl long double
#define endl '\n'
#define sc second
#define fr first
#define mp make_pair
#define pb push_back
#define all(x) x.begin(), x.end()
 
const int maxn = 110;
const int maxk = 1100;
const dbl eps = 1e-9;
 
int n,m,k;
dbl b[maxn][maxk], s[maxn][maxk], dfw[maxn][maxn], d[maxn][maxn], g[maxn][maxn], a[maxn][maxn];
 
void solve() {
    cin >> n >> m >> k;
 
    for(int i = 1; i <= n; i++) {
        for(int j = 1; j <= k; j++) {
            cin >> b[i][j];
            if(b[i][j] == -1) b[i][j] = inf;
            cin >> s[i][j];
            if(s[i][j] == -1) s[i][j] = -inf;
        }
    }
 
    for(int i = 1; i <= n; i++) {
        for(int j = 1; j <= n; j++) {
            dfw[i][j] = inf;
        }
    }
    for(int i = 1; i <= m; i++) {
        int u,v;
        dbl w; cin >> u >> v >> w;
        dfw[u][v] = min(dfw[u][v],w);
    }
 
    for(int v = 1; v <= n; v++) {
        for(int i = 1; i <= n; i++) {
            for(int j = 1; j <= n; j++) {
                dfw[i][j] = min(dfw[i][j], dfw[i][v]+dfw[v][j]);
            }
        }
    }
 
    for(int u = 1; u <= n; u++) {
        for(int v = 1; v <= n; v++) {
            a[u][v] = -inf;
            //compra em u e vende em v
            for(int i = 1; i <= k; i++) {
                a[u][v] = max(a[u][v],s[v][i]-b[u][i]);
            }
            // cout << u << " " << v << " " << dfw[u][v] << endl;
        }
    }
 
    int l = 1;
    int r = inf1; //valor maximo
    int ans = 0;
    while(l <= r) {
        int mid = (l+r)>>1;
 
        //cria as arestas
        for(int u = 1; u <= n; u++) {
            for(int v = 1; v <= n; v++) {
                g[u][v] = a[u][v]-dfw[u][v]*(mid-eps);
            }
        }
 
        //encontrar se tem ciclo positivo em um grafo bellman
 
        bool ok = false;
        for(int beg = 1; beg <= n; beg++) {
            for(int i = 1; i <= n; i++) {
                d[i][0] = -inf;
            }
            d[beg][0] = 0;
            for(int i = 1; i <= n; i++) {
                for(int u = 1; u <= n; u++) d[u][i] = d[u][i-1];
 
                for(int u = 1; u <= n; u++) {
                    for(int v = 1; v <= n; v++) {
                        d[v][i] = max(d[v][i],d[u][i-1] + g[u][v]);
                    }
                }
            }
 
            for(int u = 1; u <= n; u++) {
                for(int v = 1; v <= n; v++) {
                    if(d[u][n] != -inf && d[v][n] < d[u][n]+g[u][v]) {
                        // cout << beg << " " << u << " " << v << " " << d[u][n] << " " << d[v][n] << endl;
                        ok = true;
                    }
                    // d[v][i] = max(d[v][i],d[u][i-1] + g[u][v]);
                }
            }
        }
 
        if(ok) {
            ans = mid;
            l = mid+1;
        }
        else {
            r = mid-1;
        }
    }
 
    cout << ans << endl;
}
 
int32_t main() {
    ios::sync_with_stdio(false); cin.tie(0);
 
    // freopen("in.in", "r", stdin);
    // freopen("out.out", "w", stdout);
 
    int tt = 1;
    // cin >> tt;
    while(tt--) solve();
 
}

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