Submission #859087

#	Time	Username	Problem	Language	Result	Execution time	Memory
859087		75_yabuki	Travelling Merchant (APIO17_merchant)	C++14	100 / 100	703 ms	5752 KiB

merchant

#define _DE132BUG
// #include <atcoder/all>
#include <bits/stdc++.h>
using namespace std;
// using namespace atcoder;
#define endl "\n"
#define fi first
#define se second
#define all(x) (x).begin(),(x).end() 
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef pair<ld, ld> pld;
typedef vector<int> vi;
typedef vector<pii> vii;
const long double pi = acos(-1.0);
const int INF = 1987654321;
const ll LLINF = 2e18;
const double eps = 1e-9;
template<class T>bool chmax(T& a, const T& b) { if (a < b) { a = b; return 1; } return 0; }
template<class T>bool chmin(T& a, const T& b) { if (b < a) { a = b; return 1; } return 0; }
//

ll buy[104][2004];
ll sell[104][2004];
ll dist[104][104];
ll bs[104][104];
ld newdist[104][104];

struct Edge{
    int u, v, weight;
    bool operator<(Edge const& other){
        return weight < other.weight;
    }
};

int main(){
#ifdef _DEBUG   
    freopen ("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
#endif      
    ios::sync_with_stdio(false);
    cin.tie(NULL);
    
    int N, M, K; cin >> N >> M >> K;
    for(int i = 1; i <= N; i++){
        for(int k = 0; k < K; k++){
            cin >> buy[i][k] >> sell[i][k];
        }
    }   
    memset(dist, 0x3f, sizeof(dist));        
    while(M--){
        ll u, v, w; cin >> u >> v >> w;
        dist[u][v] = w;
    }

    for(int k = 1; k <= N; k++){
        for(int i = 1; i <= N; i++){
            for(int j = 1; j <= N; j++){
                chmin(dist[i][j], dist[i][k] + dist[k][j]);
            }
        }
    }
     // item
    for(int i = 1; i <= N; i++){
        for(int j = 1; j <= N; j++){
            for(int k = 0; k < K; k++){
                if(sell[j][k] != -1 && buy[i][k] != -1){
                    chmax(bs[i][j], 1LL* sell[j][k]-buy[i][k]);   
                }
            }
        }
    }
    ld lo = 0, hi = 2e9;
    for(int it = 0; it < 100; it++){
        ld mid = (lo + hi) / 2;

        for(int i = 1; i <= N; i++){
            for(int j = 1; j <= N; j++){
                if(dist[i][j] > 1e9+5) newdist[i][j] = -1e12;
                else newdist[i][j] =  bs[i][j]-mid*dist[i][j];
            }
        }
        
        for(int k = 1; k <= N; k++){
            for(int i = 1; i <= N; i++){
                for(int j = 1; j <= N; j++){
                    chmax(newdist[i][j], newdist[i][k] + newdist[k][j]);
                }
            }
        }
        bool flag = false;
        for(int i = 1; i <= N; i++){
            if(newdist[i][i] >= 0){
                flag = true; 
                break;
            }
        }
        if(flag) lo = mid;
        else hi = mid;
        // cout << hi << endl;
    }    
    // cout << hi d<< endl;
    cout << (ll)floor(hi) << endl;
    
    return 0;
}

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