Submission #959456

#	Time	Username	Problem	Language	Result	Execution time	Memory
959456		AlperenT_	Travelling Merchant (APIO17_merchant)	C++14	100 / 100	100 ms	5284 KiB

merchant

#include <bits/stdc++.h>

#pragma GCC optimize("O3,unroll-loops")
#define pb push_back
#define F first
#define S second 
#define ld long double
#define int long long
#define all(a) a.begin(),a.end()
#define pii pair <int,int>
#define sz(v) (int)v.size()
#define rep(i , a , b) for(int i=a;i <= (b);i++)
#define per(i , a , b) for(int i=a;i >= (b);i--)
#define deb(x) cout <<#x << " : " << x << "\n" ;
using namespace std ;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int maxn = 202 + 10 , maxk = 1e4, sq = 1e5 , lg = 19,  inf = 1e18+10 , mod = 998244353;
int b[maxn][maxk] , s[maxn][maxk] , d[maxn][maxn] , w[maxn][maxn] , sp[maxn] , n; 
int dis[maxn][maxn] ;

bool ch(int x){
    rep(i , 1, n)sp[i] = 0 ;
    rep(i , 1 ,n+1){
        rep(j , 1 ,n){
            rep(k , 1 , n){
                if(d[j][k] == inf)continue ; 
                sp[k] = min(sp[k] , sp[j] + (-w[j][k] + d[j][k]*x)); 
                if(sp[k] < -(1e17))return 1 ;
            }
        }
    }
    rep(j , 1, n){
        rep(k , 1, n){
            if(d[j][k] == inf)continue ; 
            if(sp[k] > sp[j]+(-w[j][k]+d[j][k]*x))return 1 ;
        }
    }
    rep(i , 1 , n){
        rep(j , 1 , n){
            dis[i][j] = inf ;
            if(d[i][j] == inf)continue ;
            dis[i][j] = (-w[i][j]+d[i][j]*x);
        }
        dis[i][i] =0 ; 
    }
    rep(i , 1 ,n){
        rep(j , 1 ,n){
            rep(k, 1 , n){
                dis[j][k] = min(dis[j][k] , dis[j][i] + dis[i][k]) ; 
            }
        }
    }
    rep(i , 1, n){
        rep(j , 1 , n){
            if(dis[j][i] + (-w[i][j]+d[i][j]*x) == 0)return 1; 
        }
    }
    return 0 ; 
}

signed main(){
    ios_base::sync_with_stdio(false);cin.tie(0);
    int m , k ;
    cin >> n >> m >> k ;
    rep(i , 1, n){
        rep(j , 1, k){
            cin >> b[i][j] >> s[i][j] ;
        }
    }
    rep(i , 1, n){
        rep(j , 1 , n){
            w[i][j] = -inf ;
            if(i == j)continue ;
            w[i][j] = 0 ; 
            rep(z , 1 , k){
                if(b[i][z] == -1 || s[j][z] == -1)continue ;
                w[i][j] = max(w[i][j] , -b[i][z] + s[j][z]) ;
            }
        }
    }
    rep(i , 1, n){
        rep(j , 1 ,n)d[i][j] = inf ;
        d[i][i] = 0; 
    }
    while(m--){
        int v, u , w ;
        cin >> v >> u >> w ;
        d[v][u] = min(d[v][u] , w);
    }
    rep(i ,1 ,n){
        rep(j , 1, n){
            rep(z, 1 , n){
                d[j][z] = min(d[j][z] , d[j][i] + d[i][z]) ; 
            }
        }
    }
    int l = 0, r =1e9 ;
    while(r-l>1){
        int mid = (l+r)/2 ;
        if(ch(mid) == 1)l=mid ;
        else r = mid ;
    }
    cout << l << "\n";
    return 0;
}
/*
*/

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