Submission #389620

#	Time	Username	Problem	Language	Result	Execution time	Memory
389620		talant117408	Travelling Merchant (APIO17_merchant)	C++17	100 / 100	98 ms	4168 KiB

merchant

/*
    Code written by Talant I.D.
*/
#include <bits/stdc++.h>
 
using namespace std;

typedef long long ll;
typedef pair <int, int> pii;
typedef pair <ll, ll> pll;
 
#define precision(n) fixed << setprecision(n)
#define pb push_back
#define ub upper_bound
#define lb lower_bound
#define mp make_pair
#define eps (double)1e-9
#define PI 2*acos(0.0)
#define endl "\n"
#define sz(v) int((v).size())
#define all(v) v.begin(),v.end()
#define rall(v) v.rbegin(),v.rend()
#define do_not_disturb ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define OK cout << "OK" << endl;
 
const int mod = 1e9+7;
 
ll mode(ll a) {
    a %= mod;
    if (a < 0) a += mod;
    return a;
}
 
ll subt(ll a, ll b) {
    return mode(mode(a)-mode(b));
}
 
ll add(ll a, ll b) {
    return mode(mode(a)+mode(b));
}
 
ll mult(ll a, ll b) {
    return mode(mode(a)*mode(b));
}
 
ll binpow(ll a, ll b) {
    ll res = 1;
    while (b) {
        if (b&1) res = mult(res, a);
        a = mult(a, a);
        b >>= 1;
    }
    return res;
}

const ll INF = 1e18;
ll buy[103][1003], sell[103][1003];
ll graph[103][103], graph2[103][103], profit[103][103];
int n, K;

void floyd_warshall(ll g[103][103]) {
	for (int i = 1; i <= n; i++) {
		for (int j = 1; j <= n; j++) {
			for (int k = 1; k <= n; k++) {
				g[j][k] = min(g[j][k], g[j][i]+g[i][k]);
			}
		}
	}
}

int main() {
	do_not_disturb
	
	int m;
	cin >> n >> m >> K;
	for (int i = 1; i <= n; i++) {
		for (int j = 1; j <= n; j++) {
			graph[i][j] = INF;
		}
		for (int j = 1; j <= K; j++) {
			cin >> buy[i][j] >> sell[i][j];
		}
	}
	for (int i = 0; i < m; i++) {
		int x, y, w;
		cin >> x >> y >> w;
		graph[x][y] = w;
	}
	floyd_warshall(graph);
	for (int i = 1; i <= n; i++) {
		for (int j = 1; j <= n; j++) {
			for (int k = 1; k <= K; k++) {
				if (buy[i][k] != -1 && sell[j][k] != -1) {
					profit[i][j] = max(profit[i][j], sell[j][k]-buy[i][k]);
				}
			}
		}
	}
	
	ll l = 1, r = 1e9;
	ll ans = 0;
	while (l <= r) {
		ll mid = (l+r) >> 1ll;
		for (int i = 1; i <= n; i++) {
			for (int j = 1; j <= n; j++) {
				graph2[i][j] = mid*min(graph[i][j], INF/mid)-profit[i][j];
			}
		}
		floyd_warshall(graph2);
		bool flag = 0;
		for (int i = 1; i <= n; i++) if (graph2[i][i] <= 0) flag = 1;
		if (flag) {
			ans = max(ans, mid);
			l = mid+1;
		}
		else {
			r = mid-1;
		}
	}
	
	cout << ans << endl;
	
    return 0;
}

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