Submission #491864

#	Time	Username	Problem	Language	Result	Execution time	Memory
491864		K4YAN	Travelling Merchant (APIO17_merchant)	C++17	100 / 100	88 ms	4480 KiB

merchant

//Be Name Khoda

#include<bits/stdc++.h>
#pragma GCC target ("avx2,tune=native")

using namespace std;

#define ll long long
#define ld long double
#define all(x) x.begin(), x.end()
#define pii pair<int, int>
#define piii pair<pii, int>
#define piiii pair<pii, pii>
#define piiiii pair<pii, piii>
#define pll pair<ll, ll>
#define plll pair<pll, ll>

const ll mxn = 116, MXN = 1016;
ll n, m, k, q;
ll dis[mxn][mxn], f[mxn][mxn], b[mxn][MXN], s[mxn][MXN];
vector<pll> adj[mxn];

bool check(ll x) {

    ll d[mxn][mxn];
    for(int i = 0; i <= n; i++) {
        for(int j = 0; j <= n; j++) {
            d[i][j] = -1LL * MXN * MXN * MXN;
        }
    }
    for(int i = 1; i <= n; i++) {
        for(int j = 1; j <= n; j++) {
            d[i][j] = f[i][j] + -1LL * x * dis[i][j];
        }
    }
    for(int i = 1; i <= n; i++) {
        for(int j = 1; j <= n; j++) {
            for(int w = 1; w <= n; w++) {
                d[j][w] = max(d[j][w], d[j][i] + d[i][w]);
            }
        }
    } 
    for(int i = 1; i <= n; i++) {
        if(d[i][i] > 0) {
            return 1;
        }
        if(d[i][i] < 0) continue;
        for(int j = 1; j <= n; j++) {
            if(d[i][j] + d[j][i] == d[i][i] && i != j) {
                return 1;
            }
        }
    }
    return 0;
 
}

ll bs(ll l, ll r) {
    if(r - l == 1) return l;
    ll mid = (l + r) >> 1;
    if(check(mid)) {
        return bs(mid, r);
    }
    return bs(l, mid);
}

void input() {

    for(int i = 0; i < mxn; i++) {
        for(int j = 0; j < mxn; j++) {
            dis[i][j] = 1LL * MXN * MXN * MXN;
        }
        dis[i][i] = 0;
    }

    cin >> n >> m >> k;
    for(int i = 1; i <= n; i++) {
        for(int j = 0; j < k; j++) {
            cin >> b[i][j] >> s[i][j];
        }
    }
    for(int i = 0; i < m; i++) {
        ll v, u;
        cin >> v >> u >> q;
        adj[v].push_back({u, q});
        dis[v][u] = min(dis[v][u], q);
    }

}

void solve() {

    for(int i = 1; i <= n; i++) {
        for(int j = 1; j <= n; j++) {
            for(int w = 1; w <= n; w++) {
                dis[j][w] = min(dis[j][w], dis[j][i] + dis[i][w]);
            }
            for(int w = 0; w < k; w++) {
                if(b[i][w] != -1 && s[j][w] != -1) {
                    f[i][j] = max(f[i][j], s[j][w] - b[i][w]);
                }
            }
        }
    }

    cout << bs(0LL, 1LL* MXN * MXN * MXN) << endl;

}

int main() {

    ios::sync_with_stdio(false); cin.tie(NULL);

    input(), solve();

    return 0;

}

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