Submission #1127167

#	Time	Username	Problem	Language	Result	Execution time	Memory
1127167		mispertion	Travelling Merchant (APIO17_merchant)	C++20	100 / 100	56 ms	2120 KiB

merchant

#include <bits/stdc++.h>

using namespace std;

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
using ll = long long;
#define int ll
using ld = long double;
using pii = pair<int, int>;

#define F first
#define S second
#define sz(x) (int)x.size()

const ld PI = 3.1415926535;
const ld eps = 1e-9;
const int N = 1e3 + 5;
const int M = 7e6 + 1;
ll mod =  998244353;
const int infi = 1e9;
const ll infl = 1e16;
const int P = 31;

int mult(int a, int b) { return a * 1LL * b % mod; }

int sum(int a, int b) {
    if(a + b >= mod)
        return a + b - mod;
    if(a + b < 0)
        return a + b + mod;
    return a + b;
}

ll binpow(ll a, ll n) {
    if (n == 0) return 1;
    if (n % 2 == 1) {
        return binpow(a, n - 1) * a % (mod);
    } else {
        ll b = binpow(a, n / 2);
        return b * b % (mod);
    }
}

int n, m, k, b[101][1001], s[101][1001], d[101][101], fl[101][101];

bool ok(int m){
    int td[n + 1][n + 1];
    for(int i = 1; i <= n; i++)
        for(int j = 1; j <= n; j++)
            td[i][j] = infl;
    for(int i = 1; i <= n; i++){
        for(int j = 1; j <= n; j++){
            if(i == j) continue;
            if(d[i][j] == infl) continue;
            td[i][j] = d[i][j] * m - fl[i][j];
        }
    }
    for(int k = 1; k <= n; k++){
        for(int i = 1; i <= n; i++){
            for(int j = 1; j <= n; j++){
                if(td[i][k] != infl && td[k][j] != infl)
                    td[i][j] = min(td[i][j], td[i][k] + td[k][j]);
            }
        }
    }
    for(int i = 1; i <= n; i++){
        if(td[i][i] <= 0)
            return true;
    }
    return false;
}

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++)
            d[i][j] = infl;
    for(int i = 1; i <= m; i++){
        int u, v, w;
        cin >> u >> v >> w;
        d[u][v] = w;
    }
    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] != infl && d[k][j] != infl)
                    d[i][j] = min(d[i][j], d[i][k] + d[k][j]);
        }
    }
    int ans = 0;
    for(int i = 1; i <= n; i++){
        for(int j = i + 1; j <= n; j++){
            int mxbs = 0, mxsb = 0; 
            for(int c = 1; c <= k; c++){
                if(b[i][c] != -1 && s[j][c] != -1)
                    mxbs = max(mxbs, s[j][c] - b[i][c]);
                if(s[i][c] != -1 && b[j][c] != -1)
                    mxsb = max(mxsb, s[i][c] - b[j][c]);
            }
            fl[i][j] = mxbs;
            fl[j][i] = mxsb;
        }
    }
    int lo = 0, hi = 1e9+1;
    while(lo + 1 < hi){
        int m = (lo + hi) / 2;
        if(ok(m))
            lo = m;
        else
            hi = m;
    }
    cout << lo << '\n';
}

signed main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    int t = 1;
    //cin >> t;
    for(int i = 1; i <= t; i ++){
        solve();
    }
    return 0;
}

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