Submission #656507

#	Time	Username	Problem	Language	Result	Execution time	Memory
656507		Iliya	Travelling Merchant (APIO17_merchant)	C++17	100 / 100	97 ms	4228 KiB

merchant

// Freedom will be ours
#include<bits/stdc++.h>

using namespace std;
typedef long long ll;
#define int long long

const ll INF = 1121272678990188431;
const int N = 1e2 + 10, M = 9999, K = 1e3 + 10;

int n, m, k;
ll t[N][N], tmp[N][N], p[N][N], b[N][K], s[N][K];

void floyd(ll g[N][N]){
	for(int k = 0; k < n; k++) 
		for(int i = 0; i < n; i++) 
			for(int j = 0; j < n; j++) 
				g[i][j] = min(g[i][j], g[i][k] + g[k][j]);

}

bool check(ll mid){
	floyd(tmp);
	for(int i = 0; i < n; i++)
		if(tmp[i][i] <= 0)
			return true;
	return false;
}

int32_t main(){
    ios::sync_with_stdio(0);
    cin.tie(0), cout.tie(0);

	cin >> n >> m >> k;
	for(int i = 0; i < n; i++)
		for(int j = 0; j < k; j++)
			cin >> b[i][j] >> s[i][j];
	
	for(int i = 0; i < n; i++)
		fill(t[i], t[i] + N, INF);

	for(int i = 0; i < m; i++){
		int v, w, timee;
		cin >> v >> w >> timee; v--, w--;
		t[v][w] = timee;
	}
	
	floyd(t);

	for(int i = 0; i < n; i++)
		for(int j = 0; j < n; j++)
			for(int l = 0; l < k; l++)
				if(s[j][k] != -1 and b[i][l] != -1)
					p[i][j] = max(p[i][j], s[j][l] - b[i][l]);

	ll l = 0, r = 1e9 + 10;
	while(r - l > 1){
		ll mid = l + (r - l) / 2;
		for(int i = 0; i < n; i++){
			for(int j = 0; j < n; j++){
				if(t[i][j] == INF)
					tmp[i][j] = INF;
				else tmp[i][j] = mid * t[i][j] - p[i][j];
			}
		}
		if(check(mid)) l = mid;
		else r = mid;
	}

	cout << l << '\n';
    return 0;
}

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