Submission #393542

#	Time	Username	Problem	Language	Result	Execution time	Memory
393542		osaaateiasavtnl	Travelling Merchant (APIO17_merchant)	C++14	100 / 100	155 ms	4180 KiB

merchant

#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <algorithm>
#include <cmath>
#include <vector>
#include <set>
#include <map>
#include <unordered_set>
#include <unordered_map>
#include <queue>
#include <ctime>
#include <cassert>
#include <complex>
#include <string>
#include <cstring>
#include <chrono>
#include <random>
#include <bitset>
#include <fstream>
using namespace std;
#define int long long
#define ii pair <int, int>
#define app push_back
#define all(a) a.begin(), a.end()
#define bp __builtin_popcountll
#define ll long long
#define mp make_pair
#define x first
#define y second
#define Time (double)clock()/CLOCKS_PER_SEC
#define debug(x) std::cerr << #x << ": " << x << '\n';
#define FOR(i, n) for (int i = 0; i < n; ++i)
#define FORN(i, n) for (int i = 1; i <= n; ++i)
#define pb push_back
#define trav(a, x) for (auto& a : x)
using vi = vector<int>;
template <typename T>
std::istream& operator >>(std::istream& input, std::vector<T>& data)
{
    for (T& x : data)
        input >> x;
    return input;
}
template <typename T>
std::ostream& operator <<(std::ostream& output, const pair <T, T> & data)
{
    output << "(" << data.x << "," << data.y << ")";
    return output;
}
template <typename T>
std::ostream& operator <<(std::ostream& output, const std::vector<T>& data)
{
    for (const T& x : data)
        output << x << " ";
    return output;
}
ll div_up(ll a, ll b) { return a/b+((a^b)>0&&a%b); } // divide a by b rounded up
ll div_down(ll a, ll b) { return a/b-((a^b)<0&&a%b); } // divide a by b rounded down 
ll math_mod(ll a, ll b) { return a - b * div_down(a, b); }
#define tcT template<class T
#define tcTU tcT, class U
tcT> using V = vector<T>; 
tcT> void re(V<T>& x) { 
    trav(a, x)
        cin >> a;
}
tcT> bool ckmin(T& a, const T& b) {
    return b < a ? a = b, 1 : 0; 
} // set a = min(a,b)
tcT> bool ckmax(T& a, const T& b) {
    return a < b ? a = b, 1 : 0; 
}
ll gcd(ll a, ll b) {
    while (b) {
        tie(a, b) = mp(b, a % b);
    }
    return a;
}

const int N = 107, K = 1007, INF = 1e18;
int n, m, k;
int buy[N][K], sell[N][K];
int dist[N][N], earn[N][N];
int dp[N][N];

signed main() {
    #ifdef LOCAL
    #else
    #define endl '\n'
    ios_base::sync_with_stdio(0); cin.tie(0);
    #endif
    cin >> n >> m >> k;
    FOR (i, n) {
    	FOR (j, k) {
    		cin >> buy[i][j] >> sell[i][j];
    	}
    }
    FOR (i, n) FOR (j, n) dist[i][j] = INF;
    FOR (i, m) {
    	int u, v, c;
    	cin >> u >> v >> c;
    	u--; v--;
    	ckmin(dist[u][v], c);
    }
    FOR (k, n) {
    	FOR (u, n) {
    		FOR (v, n) {
    			ckmin(dist[u][v], dist[u][k] + dist[k][v]);
    		}
    	}
    }
    FOR (u, n) {
    	FOR (v, n) {
    		FOR (i, k) {
    			if (sell[v][i] != -1 && buy[u][i] != -1) {
    				ckmax(earn[u][v], sell[v][i] - buy[u][i]);
    			}
    		}
    	}
    }
    auto check = [&] (int w) {
    	FOR (u, n) {
    		FOR (v, n) {
    			if (dist[u][v] == INF) {
    				dp[u][v] = INF;
    			}
    			else {
    				dp[u][v] = dist[u][v] * w - earn[u][v];		
    			}
    		}
    	}
    	FOR (k, n) {
    		FOR (u, n) {
    			FOR (v, n) {
    				ckmin(dp[u][v], dp[u][k] + dp[k][v]);
    				if (dp[u][v] < -INF) {
    					return 1;
    				}
    			}
    		}
    	}
    	FOR (u, n) {
    		if (dp[u][u] <= 0) {
    			return 1;
    		}
    	}
    	return 0;
    };
    int l = 0, r = 1e9+7;
    while (l < r - 1) {
    	int m = (l + r) / 2;
    	if (check(m))
    		l = m;
    	else
    		r = m;
    }
    cout << l << endl;
}

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