Submission #53943

#	Time	Username	Problem	Language	Result	Execution time	Memory
53943		MatheusLealV	Travelling Merchant (APIO17_merchant)	C++17	100 / 100	102 ms	2552 KiB

merchant

#include <bits/stdc++.h>
#define N 105
#define M 1005
#define inf 1000000000000000000
using namespace std;
typedef long long ll;

int n, m, k;

ll opt[N][N], B[N][M], S[N][M], dist[N][N], dp[N][N];

inline bool check(ll x)
{
	for(int i = 1; i <= n; i++)
	{
		for(int j = 1; j <= n; j++)
			if(dist[i][j] == inf) dp[i][j] = inf;
			else dp[i][j] = x*dist[i][j] - opt[i][j];
	}

	for(int k = 1; k <= n; k++)
		for(int i = 1; i <= n; i++)
			for(int j = 1; j <= n; j++)
				dp[i][j] = min(dp[i][j], dp[i][k] + dp[k][j]);

	for(int i = 1; i <= n; i++) if(dp[i][i] <= 0) return true;

	return false;
}

int main()
{
	ios::sync_with_stdio(false); cin.tie(0);

	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++)
			dist[i][j] = inf;

	for(int i = 1, a, b, c; i <= m; i++)
	{
		cin>>a>>b>>c;

		dist[a][b] = c;
	}

	for(int i = 1; i <= n; i++)
		for(int j = 1; j <= n; j++)
			for(int q = 1; q <= k; q++)
			if(B[i][q] >= 0 and S[j][q] >= 0) opt[i][j] = max(opt[i][j], -B[i][q] + S[j][q]);

	for(int k = 1; k <= n; k++)
		for(int i = 1; i <= n; i++)
			for(int j = 1; j <= n; j++)
				dist[i][j] = min(dist[i][j], dist[i][k] + dist[k][j]);

	ll ini = 0, fim = 1e9 + 500, mid, best = 0;

	while(fim >= ini)
	{
		mid = (ini + fim)/2;

		if(check(mid)) best = mid, ini = mid + 1;

		else fim = mid - 1;
	}

	cout<<best<<"\n";
}

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