Submission #407362

#TimeUsernameProblemLanguageResultExecution timeMemory
407362MohamedAhmed04Travelling Merchant (APIO17_merchant)C++14
100 / 100
148 ms4688 KiB
#include <bits/stdc++.h>

using namespace std ;

const long long inf = 1e18 ;
const int MAXN = 100 + 10 ;
const int MAXK = 1000 + 10 ;

bool Overflow_Mul(long double x , long double y)
{
	return (x * y > inf) ;
}

long long s[MAXN][MAXK] , b[MAXN][MAXK] ;
long long dist[MAXN][MAXN] , best[MAXN][MAXK] ;
long long ans[MAXN][MAXN] ;

int n , m , k ;

void preprocess()
{
	for(int x = 1 ; x <= n ; ++x)
	{
		for(int y = 1 ; y <= n ; ++y)
		{
			best[x][y] = 0 ;
			for(int z = 1 ; z <= k ; ++z)
			{
				if(b[x][z] != -1 && s[y][z] != -1)
					best[x][y] = max(best[x][y] , s[y][z] - b[x][z]) ;
			}
		}
	}
	for(int z = 1 ; z <= n ; ++z)
	{
		for(int x = 1 ; x <= n ; ++x)
		{
			for(int y = 1 ; y <= n ; ++y)
				dist[x][y] = min(dist[x][y] , dist[x][z] + dist[z][y]) ;
		}
	}
}

bool check(long long mid)
{
	for(int x = 1 ; x <= n ; ++x)
	{
		for(int y = 1 ; y <= n ; ++y)
		{
			ans[x][y] = -1ll * inf ;
			if(best[x][y] == inf || dist[x][y] == inf || x == y)
				continue ;
			if(!Overflow_Mul(mid , dist[x][y]))
				ans[x][y] = max(-1ll * inf , best[x][y] - mid * dist[x][y]) ;
		}
	}
	for(int z = 1 ; z <= n ; ++z)
	{
		for(int x = 1 ; x <= n ; ++x)
		{
			for(int y = 1 ; y <= n ; ++y)
				ans[x][y] = max(ans[x][y] , min(inf , ans[x][z] + ans[z][y])) ;
		}
	}
	for(int i = 1 ; i <= n ; ++i)
	{
		if(ans[i][i] >= 0)
			return true ;
	}
	return false ;
}

int main()
{
	ios_base::sync_with_stdio(0) ;
	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 = 0 ; i < m ; ++i)
	{
		int x , y , z ;
		cin>>x>>y>>z ;
		dist[x][y] = z ;
	}
	preprocess() ;
	long long ans = 0 ;
	long long l = 1 , r = 1e15 ;
	while(l <= r)
	{
		long long mid = (l + r) >> 1 ;
		if(check(mid))
			ans = mid , l = mid+1ll ;
		else
			r = mid-1ll ;
	}
	return cout<<ans<<"\n" , 0 ;
}		
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