Submission #566691

#	Time	Username	Problem	Language	Result	Execution time	Memory
566691		ngpin04	Travelling Merchant (APIO17_merchant)	C++14	100 / 100	171 ms	3348 KiB

merchant

#include <bits/stdc++.h>
#define fi first
#define se second
#define mp make_pair
#define TASK ""
#define bit(x) (1LL << (x))
#define getbit(x, i) (((x) >> (i)) & 1)
#define ALL(x) (x).begin(), (x).end() 
using namespace std;
template <typename T1, typename T2> bool mini(T1 &a, T2 b) {
	if (a > b) {a = b; return true;} return false;
}
template <typename T1, typename T2> bool maxi(T1 &a, T2 b) {
	if (a < b) {a = b; return true;} return false;
}
mt19937_64 rd(chrono::steady_clock::now().time_since_epoch().count());

int rand(int l, int r) {
	return l + rd() % (r - l + 1);
}
const int N = 105; 
const int K = 1005;
const int oo = 1e9;
const long long ooo = 1e18;
const int mod = 1e9 + 7; // 998244353;
const long double pi = acos(-1);

long long cost[N][N];
long long dis[N][N];

int prof[N][N];
int d[N][N];
int b[N][K];
int s[N][K];
int cnt[N];
int n,m,k;

bool inq[N];

bool solve(int x) {
	for (int i = 1; i <= n; i++)
	for (int j = 1; j <= n; j++)
		dis[i][j] = -ooo;

	for (int i = 1; i <= n; i++)
	for (int k = 1; k <= n; k++)  
	for (int j = 1; j <= n; j++) if (d[i][j] < oo && d[j][k] < oo) {
		if (i == j && j == k)
			continue;
		// cerr << i << " " << j << " " << k << "\n";
		// cerr << prof[j][k] << "\n";
		// cerr << d[i][j] << " " << d[j][k] << "\n";
		maxi(dis[i][k], prof[j][k] - 1LL * (d[i][j] + d[j][k]) * x);
	}

	// for (int i = 1; i <= n; i++)
	// for (int j = 1; j <= n; j++)
	// 	cerr << i << " " << j << " " << cost[i][j] << "\n";

	for (int j = 1; j <= n; j++)
	for (int i = 1; i <= n; i++)
	for (int k = 1; k <= n; k++)
		maxi(dis[i][k], dis[i][j] + dis[j][k]);

	for (int i = 1; i <= n; i++) 
		if (dis[i][i] >= 0)
			return true;

	return false;
}

int main() {
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	#ifdef ONLINE_JUDGE
	// freopen(TASK".inp","r",stdin);
	// freopen(TASK".out","w",stdout);
	#endif
	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++)
		if (i != j)
			d[i][j] = oo;

	for (int i = 1; i <= m; i++) {
		int u,v,w;
		cin >> u >> v >> w;
		mini(d[u][v], w);
	}

	for (int j = 1; j <= n; j++)
	for (int i = 1; i <= n; i++)
	for (int k = 1; k <= n; k++)
		mini(d[i][k], d[i][j] + d[j][k]);

	for (int i = 1; i <= n; i++)
	for (int j = 1; j <= n; j++)
	for (int it = 1; it <= k; it++)  
		if (s[j][it] != -1 && b[i][it] != -1)
			maxi(prof[i][j], s[j][it] - b[i][it]);

	int lo = 0;
	int hi = oo + 1;
	while (hi - lo > 1) {
		int mid = (lo + hi) >> 1;
		if (solve(mid))
			lo = mid;
		else
			hi = mid;
	}

	cout << lo;
	return 0;
}

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