Submission #594857

#	Time	Username	Problem	Language	Result	Execution time	Memory
594857		penguinhacker	Travelling Merchant (APIO17_merchant)	C++17	100 / 100	96 ms	3356 KiB

merchant

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

#define ll long long
#define ar array

const ll INF=1e18;
int n, m, k, b[100][1000], s[100][1000], profit[100][100];
ll d[100][100], dp[100][100];

bool ok(int x) {
	for (int i=0; i<n; ++i)
		for (int j=0; j<n; ++j)
			dp[i][j]=i==j||d[i][j]>=INF?-INF:profit[i][j]-x*d[i][j];
	for (int l=0; l<n; ++l)
		for (int i=0; i<n; ++i)
			for (int j=0; j<n; ++j)
				dp[i][j]=max(dp[i][j], min(INF, dp[i][l]+dp[l][j]));
	for (int i=0; i<n; ++i)
		if (dp[i][i]>=0)
			return 1;
	return 0;
}

int main() {
	ios::sync_with_stdio(0);
	cin.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];
	memset(d, 0x3f, sizeof(d));
	for (int i=0; i<n; ++i)
		d[i][i]=0;
	for (int i=0; i<m; ++i) {
		int u, v, w;
		cin >> u >> v >> w, --u, --v;
		d[u][v]=w;
	}
	for (int i=0; i<n; ++i)
		for (int j=0; j<n; ++j)
			for (int l=0; l<k; ++l)
				if (b[i][l]!=-1&&s[j][l]!=-1)
					profit[i][j]=max(profit[i][j], s[j][l]-b[i][l]);
	for (int l=0; l<n; ++l)
		for (int i=0; i<n; ++i)
			for (int j=0; j<n; ++j)
				d[i][j]=min(d[i][j], d[i][l]+d[l][j]);
	int lb=0, rb=1e9;
	while(lb<rb) {
		int mid=(lb+rb+1)/2;
		if (ok(mid))
			lb=mid;
		else
			rb=mid-1;
	}
	cout << lb;
	return 0;
}

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