Submission #408991

#	Time	Username	Problem	Language	Result	Execution time	Memory
408991		amunduzbaev	Travelling Merchant (APIO17_merchant)	C++14	100 / 100	197 ms	4268 KiB

merchant

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

#define int long long
template<class T> bool umin(T& a, const T b) { if(a > b) { a = b; return 1; } return 0; }
template<class T> bool umax(T& a, const T b) { if(a < b) { a = b; return 1; } return 0; }
const int N = 105;
const int mod = 1e9+7;
const long long inf = 1e18+7;
int n, m, k, a[N][N];
int gg[N][N], b[N][1005], s[N][1005], prof[N][N];

bool check(int m){
	for(int i=1;i<=n;i++) for(int j=1;j<=n;j++) a[i][j] = -inf;
	for(int i=1;i<=n;i++){
		for(int j=1;j<=n;j++){
			if(gg[i][j] == inf) continue;
			umax(a[i][j], prof[i][j] - gg[i][j] * m);
		}
	}
	for(int k=1;k<=n;k++){
		for(int i=1;i<=n;i++){
			for(int j=1;j<=n;j++){
				umax(a[i][j], a[i][k] + a[k][j]);
			}
		}
	} for(int i=1;i<=n;i++) if(a[i][i] >= 0) return 1;
	return 0;
}

/*

4 5 2
10 9 5 2
6 4 20 15
9 7 10 9
-1 -1 16 11
1 2 3
2 3 3
1 4 1
4 3 1
3 1 1

*/

signed main(){
	cin>>n>>m>>k;
	for(int i=1;i<=n;i++) for(int j=1;j<=n;j++) gg[i][j] = inf;
	for(int i=1;i<=n;i++){
		for(int j=0;j<k;j++){
			cin>>b[i][j]>>s[i][j];
		}
	} for(int i=0;i<m;i++){
		int a, b, c; cin>>a>>b>>c;
		umin(gg[a][b], c);
	} for(int k=1;k<=n;k++){
		for(int i=1;i<=n;i++){
			for(int j=1;j<=n;j++){
				umin(gg[i][j], gg[i][k] + gg[k][j]);
			}
		}
	} for(int i=1;i<=n;i++){
		for(int j=1;j<=n;j++){
			for(int l=0;l<k;l++){
				if(~b[i][l] && ~s[j][l]) umax(prof[i][j], - b[i][l] + s[j][l]);
			}
		}
	}
	
	int l = 0, r = mod;
	while(l < r){
		int m = (l + r + 1)>>1;
		if(check(m)) l = m;
		else r = m - 1;
	} cout<<l<<"\n";
}

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