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Submission #959447

# Submission time Handle Problem Language Result Execution time Memory
959447 2024-04-08T08:24:52 Z AlperenT_ Travelling Merchant (APIO17_merchant) C++14
45 / 100
 178 ms 21136 KB 
#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; 


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 ;
        }
    }
    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 ;
    }
    rep(i , 1, n){
        rep(j , 1, n){
            sp[j] = inf ;
        }
        rep(j , 1, n){
            if(j == i)continue ;
            sp[j] = (-w[i][j] + (l+1)*d[i][j]);
        }
        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]*(l+1))); 
                }
            }
        }    
        bool ok =0 ; 
        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]*(l+1)))ok = 1;  
            }
        }
        if(ok == 1)continue ;        
        if(sp[i] == 0){
            cout << l+1 << "\n"; 
            exit(0) ;
        }
    }
    cout << l << "\n";
    return 0;
}
/*
*/

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 169 ms 21080 KB Output is correct
2 Correct 166 ms 21132 KB Output is correct
3 Correct 151 ms 21136 KB Output is correct
4 Correct 15 ms 12632 KB Output is correct
5 Correct 15 ms 12868 KB Output is correct
6 Correct 17 ms 12636 KB Output is correct
7 Correct 15 ms 12856 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 14 ms 12868 KB Output is correct
10 Correct 7 ms 12636 KB Output is correct
11 Correct 14 ms 12636 KB Output is correct
12 Correct 1 ms 4444 KB Output is correct
13 Correct 12 ms 12872 KB Output is correct

Subtask #2
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 12636 KB Output is correct
2 Correct 15 ms 12856 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 14 ms 12868 KB Output is correct
5 Correct 7 ms 12636 KB Output is correct
6 Correct 14 ms 12636 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 12 ms 12872 KB Output is correct
9 Correct 15 ms 12632 KB Output is correct
10 Correct 15 ms 12632 KB Output is correct
11 Correct 18 ms 12864 KB Output is correct
12 Correct 14 ms 12636 KB Output is correct
13 Correct 16 ms 12868 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 10 ms 12760 KB Output is correct
16 Correct 13 ms 12636 KB Output is correct
17 Correct 11 ms 12636 KB Output is correct
18 Correct 13 ms 12872 KB Output is correct
19 Correct 15 ms 12888 KB Output is correct
20 Correct 9 ms 12868 KB Output is correct
21 Correct 10 ms 12636 KB Output is correct
22 Incorrect 15 ms 12884 KB Output isn't correct
23 Halted 0 ms 0 KB -

Subtask #3
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 155 ms 21084 KB Output is correct
2 Correct 175 ms 21136 KB Output is correct
3 Correct 178 ms 21136 KB Output is correct
4 Correct 154 ms 21084 KB Output is correct
5 Correct 62 ms 21136 KB Output is correct
6 Correct 153 ms 21084 KB Output is correct
7 Correct 16 ms 12864 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 8 ms 12636 KB Output is correct
10 Correct 8 ms 12636 KB Output is correct
11 Correct 13 ms 12636 KB Output is correct
12 Correct 15 ms 12868 KB Output is correct
13 Correct 11 ms 12636 KB Output is correct

Subtask #4
0 / 34.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 12632 KB Output is correct
2 Correct 15 ms 12632 KB Output is correct
3 Correct 18 ms 12864 KB Output is correct
4 Correct 14 ms 12636 KB Output is correct
5 Correct 16 ms 12868 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 10 ms 12760 KB Output is correct
8 Correct 13 ms 12636 KB Output is correct
9 Correct 11 ms 12636 KB Output is correct
10 Correct 13 ms 12872 KB Output is correct
11 Correct 15 ms 12888 KB Output is correct
12 Correct 9 ms 12868 KB Output is correct
13 Correct 10 ms 12636 KB Output is correct
14 Incorrect 15 ms 12884 KB Output isn't correct
15 Halted 0 ms 0 KB -