oj.uz

Submission #955536

# Submission time Handle Problem Language Result Execution time Memory
955536 2024-03-30T21:37:19 Z Matjaz Travelling Merchant (APIO17_merchant) C++14
100 / 100
 135 ms 3520 KB 
//
//  APIO17_MERCHANT.cpp
//  
//
//  Created by Matjaz Leonardis on 22/03/2024.
//

#include <iostream>
#include <vector>
#include <algorithm>

using namespace std;

int N,M,K;
long long INF = (1LL<<39);

// If we buy something at u and go to v there will be the perfect item for that and we can take the shortest path there. 

int main(){
    cin >> N >> M >> K;
    
    vector<vector<int> > B(N, vector<int> (K));
    vector<vector<int> > S(N, vector<int> (K));
    
    for (int i=0;i<N;i++){
        for (int j=0;j<K;j++) cin >> B[i][j] >> S[i][j];
    }
    
    vector<vector<long long> > dist(N, vector<long long>(N, INF));
    
    for (int i=0;i<M;i++){
        int V,W,T;
        cin >> V >> W >> T;
        dist[V - 1][W - 1] = T;
    }
    
    for (int k=0;k<N;k++){
        for (int i=0;i<N;i++){
            for (int j=0;j<N;j++) dist[i][j] = min(dist[i][j], dist[i][k] + dist[k][j]);
        }
    }
    
    /*cout << "OG" << endl;
    for (int i=0;i<N;i++){
        for (int j=0;j<N;j++) cout << dist[i][j] << " ";
        cout << endl;
    }
    cout << endl; */
    
    vector<vector<long long> > profit(N, vector<long long> (N));
    
    for (int i=0;i<N;i++){
        for (int j=0;j<N;j++){
            for (int k=0;k<K;k++) if (B[i][k] >= 0) profit[i][j] = max(profit[i][j], (long long)S[j][k] - B[i][k]);
        }
    }
    
    /*cout << "Profit" << endl;
    for (int i=0;i<N;i++){
        for (int j=0;j<N;j++) cout << profit[i][j] << " ";
        cout << endl;
    }
    cout << endl; */
    
    
    
    long long best = 0;
    
    long long l = 0;
    long long u = 1e9;
    
    while (l < u){
        long long mid = l + (u - l + 1) / 2;
        // Each new edge is profit[i][j] - mid * dist[i][j]
        
        vector<vector<long long> > dist_tmp(N, vector<long long>(N, INF));
        
        for (int i=0;i<N;i++){
            for (int j=0;j<N;j++) if (dist[i][j] < INF) dist_tmp[i][j] = mid * dist[i][j] - profit[i][j]; // Do we get any blow ups here?
        }
        
       /* cout << mid << endl;
        for (int i=0;i<N;i++){
            for (int j=0;j<N;j++) cout << dist_tmp[i][j] << " ";
            cout << endl;
        }
        cout << endl; */
        for (int k=0;k<N;k++){
            for (int i=0;i<N;i++){
                for (int j=0;j<N;j++) dist_tmp[i][j] = min(dist_tmp[i][j],dist_tmp[i][k] + dist_tmp[k][j]);
            }
        }
        
        /*cout << mid << endl;
        for (int i=0;i<N;i++){
            for (int j=0;j<N;j++) cout << dist_tmp[i][j] << " ";
            cout << endl;
        }
        cout << endl;*/
        
        bool contains_cycle = false;
        
        for (int i=0;i<N;i++) if (dist_tmp[i][i] <= 0) contains_cycle = true;
        
        if (contains_cycle) l = mid; else u = mid - 1;
    
    }
    
    best = l;
    cout << best << endl;
    
    return 0;
}

/*
4 5 2
10 9 5 2
6 4 20 15
9 7 10 9
-1 -1 16 11
1 2 3
2 3 3
1 4 1
4 3 1
3 1 1
*/

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 72 ms 1220 KB Output is correct
2 Correct 26 ms 604 KB Output is correct
3 Correct 27 ms 692 KB Output is correct
4 Correct 5 ms 344 KB Output is correct
5 Correct 5 ms 348 KB Output is correct
6 Correct 3 ms 348 KB Output is correct
7 Correct 6 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 4 ms 348 KB Output is correct
10 Correct 4 ms 348 KB Output is correct
11 Correct 4 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 5 ms 344 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 348 KB Output is correct
2 Correct 6 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 4 ms 348 KB Output is correct
5 Correct 4 ms 348 KB Output is correct
6 Correct 4 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 5 ms 344 KB Output is correct
9 Correct 4 ms 348 KB Output is correct
10 Correct 4 ms 348 KB Output is correct
11 Correct 5 ms 468 KB Output is correct
12 Correct 4 ms 348 KB Output is correct
13 Correct 5 ms 568 KB Output is correct
14 Correct 1 ms 856 KB Output is correct
15 Correct 5 ms 516 KB Output is correct
16 Correct 4 ms 348 KB Output is correct
17 Correct 4 ms 348 KB Output is correct
18 Correct 4 ms 600 KB Output is correct
19 Correct 5 ms 348 KB Output is correct
20 Correct 5 ms 352 KB Output is correct
21 Correct 6 ms 480 KB Output is correct
22 Correct 4 ms 464 KB Output is correct
23 Correct 6 ms 348 KB Output is correct
24 Correct 4 ms 352 KB Output is correct
25 Correct 5 ms 352 KB Output is correct
26 Correct 0 ms 352 KB Output is correct
27 Correct 6 ms 528 KB Output is correct
28 Correct 5 ms 528 KB Output is correct
29 Correct 7 ms 608 KB Output is correct
30 Correct 4 ms 352 KB Output is correct
31 Correct 4 ms 352 KB Output is correct

Subtask #3
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 352 KB Output is correct
2 Correct 0 ms 352 KB Output is correct
3 Correct 6 ms 528 KB Output is correct
4 Correct 5 ms 528 KB Output is correct
5 Correct 7 ms 608 KB Output is correct
6 Correct 4 ms 352 KB Output is correct
7 Correct 4 ms 352 KB Output is correct
8 Correct 34 ms 608 KB Output is correct
9 Correct 103 ms 1280 KB Output is correct
10 Correct 31 ms 600 KB Output is correct
11 Correct 35 ms 604 KB Output is correct
12 Correct 41 ms 848 KB Output is correct
13 Correct 30 ms 604 KB Output is correct

Subtask #4
34.0 / 34.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 348 KB Output is correct
2 Correct 4 ms 348 KB Output is correct
3 Correct 5 ms 468 KB Output is correct
4 Correct 4 ms 348 KB Output is correct
5 Correct 5 ms 568 KB Output is correct
6 Correct 1 ms 856 KB Output is correct
7 Correct 5 ms 516 KB Output is correct
8 Correct 4 ms 348 KB Output is correct
9 Correct 4 ms 348 KB Output is correct
10 Correct 4 ms 600 KB Output is correct
11 Correct 5 ms 348 KB Output is correct
12 Correct 5 ms 352 KB Output is correct
13 Correct 6 ms 480 KB Output is correct
14 Correct 4 ms 464 KB Output is correct
15 Correct 6 ms 348 KB Output is correct
16 Correct 4 ms 352 KB Output is correct
17 Correct 34 ms 608 KB Output is correct
18 Correct 103 ms 1280 KB Output is correct
19 Correct 31 ms 600 KB Output is correct
20 Correct 35 ms 604 KB Output is correct
21 Correct 41 ms 848 KB Output is correct
22 Correct 30 ms 604 KB Output is correct
23 Correct 5 ms 352 KB Output is correct
24 Correct 0 ms 352 KB Output is correct
25 Correct 6 ms 528 KB Output is correct
26 Correct 5 ms 528 KB Output is correct
27 Correct 7 ms 608 KB Output is correct
28 Correct 4 ms 352 KB Output is correct
29 Correct 4 ms 352 KB Output is correct
30 Correct 72 ms 1220 KB Output is correct
31 Correct 26 ms 604 KB Output is correct
32 Correct 27 ms 692 KB Output is correct
33 Correct 5 ms 344 KB Output is correct
34 Correct 5 ms 348 KB Output is correct
35 Correct 3 ms 348 KB Output is correct
36 Correct 6 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 4 ms 348 KB Output is correct
39 Correct 4 ms 348 KB Output is correct
40 Correct 4 ms 348 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 5 ms 344 KB Output is correct
43 Correct 28 ms 600 KB Output is correct
44 Correct 31 ms 600 KB Output is correct
45 Correct 54 ms 1620 KB Output is correct
46 Correct 31 ms 604 KB Output is correct
47 Correct 32 ms 604 KB Output is correct
48 Correct 30 ms 604 KB Output is correct
49 Correct 135 ms 3364 KB Output is correct
50 Correct 0 ms 348 KB Output is correct
51 Correct 0 ms 436 KB Output is correct
52 Correct 27 ms 600 KB Output is correct
53 Correct 31 ms 604 KB Output is correct
54 Correct 29 ms 604 KB Output is correct
55 Correct 28 ms 604 KB Output is correct
56 Correct 39 ms 720 KB Output is correct
57 Correct 0 ms 348 KB Output is correct
58 Correct 7 ms 640 KB Output is correct
59 Correct 7 ms 448 KB Output is correct
60 Correct 7 ms 604 KB Output is correct
61 Correct 114 ms 3520 KB Output is correct
62 Correct 113 ms 3368 KB Output is correct
63 Correct 0 ms 348 KB Output is correct