Submission #1260184

#	Time	Username	Problem	Language	Result	Execution time	Memory
1260184		arashmemar	Travelling Merchant (APIO17_merchant)	C++20	0 / 100	199 ms	2244 KiB

merchant

#include <bits/stdc++.h>
using namespace std;

const int maxn = 101, maxk = 1001;
const long long int inf = 1e18;
const long double e = ((long double)1) / (2 * maxn * maxn);

long long int ine[maxn][maxn];
long long int ne[maxn][maxn];
long long int b[maxn][maxk], s[maxn][maxk];
long long int dis[maxn][maxn];
long double bel[maxn];

int n, k;

bool solve(long long int x)
{
	for (int i = 1;i <= n;i++)
	{
		for (int j = 1;j <= n;j++)
		{
			ne[i][j] = inf;
			if (ine[i][j] < inf)
			{
				ne[i][j] = min(inf, ine[i][j] * x);
			}
			dis[i][j] = ne[i][j];
		}
	}
	for (int i = 1;i <= n;i++)
	{
		dis[i][i] = 0;
	}

	for (int v = 1;v <= n;v++)
	{
		for (int u = 1;u <= n;u++)
		{
			for (int p = 1;p <= n;p++)
			{
				dis[v][u] = min(dis[v][u], dis[v][p] + dis[p][u]);
			}
		}
	}

	for (int i = 1;i <= n;i++)
	{
		for (int j = 1;j <= n;j++)
		{
			if (j == i)
			{
				continue;
			}
			ne[i][j] = min(ne[i][j], dis[i][j]);
			for (int o = 1;o <= k;o++)
			{
				if (b[i][o] != inf and s[j][o] != inf)
				{
					ne[i][j] = min(ne[i][j], b[i][o] - s[j][o] + dis[i][j]);
					if (dis[i][j] + dis[j][i] <= -b[i][o] + s[j][o] and i == 1)
					{
						return 1;
					}
				}
			}
		}
	}

	return 0;

	for (int i = 1;i <= n;i++)
	{
		bel[i] = 0;
	}

	for (int i = 0;i < 2 * n;i++)
	{
		for (int v = 1;v <= n;v++)
		{
			for (int u = 1;u <= n;u++)
			{
				bel[u] = min(bel[u], bel[v] + ne[v][u] - e);
			}
		}
	}

	for (int v = 1;v <= n;v++)
	{
		for (int u = 1;u <= n;u++)
		{
			if (bel[u] > bel[v] + ne[v][u] - e)
			{
				return 1;
			}
		}
	}
	return 0;
}

int main()
{
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	cout.tie(0);
	for (int i = 0;i < maxn;i++)
	{
		for (int j = 0;j < maxn;j++)
		{
			ine[i][j] = inf;
		}
	}

	int m;
	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];
			if (b[i][j] == -1)
			{
				b[i][j] = inf;
			}
			if (s[i][j] == -1)
			{
				s[i][j] = inf;
			}
		}
	}
	while (m--)
	{
		int v, u, w;
		cin >> v >> u >> w;
		ine[v][u] = w;
	}

	long long int l = 0, r = 1e9;

	while (r - l - 1)
	{
		long long int mid = (l + r) / 2;
		if (solve(mid))
		{
			l = mid;
		}
		else
		{
			r = mid;
		}
	}
	cout << l;
}

• Subtask 1: 0 / 12
• Subtask 2: 0 / 21
• Subtask 3: 0 / 33
• Subtask 4: 0 / 34