Submission #391041

#	Time	Username	Problem	Language	Result	Execution time	Memory
391041		amirmohammad_nezami	Travelling Merchant (APIO17_merchant)	C++14	100 / 100	110 ms	4196 KiB

merchant

//                                                          In the name of God 
#include <bits/stdc++.h>
using namespace std;
#define F first
#define S second
#define PB push_back
#define MP make_pair
#define lc 2 * v
#define rc 2 * v + 1
#define mid (s + e) / 2
#define _sz(e) (int)e.size()
#define _all(e) e.begin() , e.end()
#define ll long long
#define int long long
#define ld long double
#define pii pair <int , int>
#define pll pair <long long , long long>
#define piii pair <int , pair <int , int> >
#define FAST ios::sync_with_stdio(0);cin.tie(0)
#define Unique(e) e.resize(unique(_all(e)) - e.begin())
#pragma GCC optimize("Ofast")
#pragma GCC optimize ("unroll-loops")

const int maxn = 100 + 5 , N = 10000 + 5 , SQ = 500 , base = 800287 , mod = 1e9 + 7 , INF = 1e18 + 5 , lg = 20;
const ld eps = 1e-4;

int n , m , k , mx[maxn][maxn];
int dist[maxn][maxn] , dp[maxn][maxn];
vector <pll> item[maxn] , edges[maxn];

inline bool calc(int x) {
	for (int i = 0; i < n; ++i) {
		for (int j = 0; j < n; ++j) {
			if(dist[i][j] == INF) {
				dp[i][j] = -INF;
			}
			else {
				dp[i][j] = mx[i][j] - x * dist[i][j];
			}
		}
	}

	for (int t = 0; t < n; ++t) {
		for (int i = 0; i < n; ++i) {
			for (int j = 0; j < n; ++j) {
				dp[i][j] = max(dp[i][j] , dp[i][t] + dp[t][j]);
			}
		}
	}

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

int32_t main() {
	FAST;
	cin >> n >> m >> k;
	for (int i = 0; i < n; ++i) {
		for (int j = 0; j < k; ++j) {
			int x , y; cin >> x >> y;
			item[i].PB({x , y});
		}
	}

	for (int i = 0; i < n; ++i) {
		for (int j = 0; j < n; ++j) {
			for (int t = 0; t < k; ++t) {

				if(item[j][t].S == -1 || item[i][t].F == -1) {
					continue;
				}
				int val = item[j][t].S - item[i][t].F;
				mx[i][j] = max(mx[i][j] , val);
			}
		}
	}

	for (int i = 0; i < n; ++i) {
		for (int j = 0; j < n; ++j) {
			dist[i][j] = INF;
		}
	}
	for (int i = 0; i < m; ++i) {
		int x , y , z; cin >> x >> y >> z;
		x-- , y--; dist[x][y] = z;
	}
	for (int t = 0; t < n; ++t) {
		for (int i = 0; i < n; ++i) {
			for (int j = 0; j < n; ++j) {
				dist[i][j] = min(dist[i][j] , dist[i][t] + dist[t][j]);
			}
		}
	}
	
	int s = 0 , e = 1e9 + 1;
	while(s < e - 1) {
		if(calc(mid)) {
			s = mid;
		}
		else {
			e = mid;
		}
	}
	cout << s << '\n';
}
// Mistakes:
//  * Read the problem carefully.
//  * Check maxn.
//  * Overflows.

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