CSES - Aalto Competitive Programming 2024 - wk7 - Wed - Results
Submission details
Task:Town center
Sender:aalto2024h_004
Submission time:2024-10-23 16:30:39 +0300
Language:C++ (C++17)
Status:READY
Result:ACCEPTED
Test results
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Code

// ~/.vim/cpp_template.cpp
#include <bits/stdc++.h>
#include <iostream>
#include <vector>
#include <algorithm>
#include <string>
#include <limits>

#define REP(i,a,b) for(int i = a; i < b; i++)

// Type Aliases for 1D and 2D vectors with initialization
#define vi(n, val) vector<int>(n, val) // 1D vector of ints with size n, initialized to val
#define vll(n, val) vector<long long>(n, val) // 1D vector of long longs with size n, initialized to val
#define ll long long
#define vvi(n, m, val) vector<vector<int>>(n, vector<int>(m, val)) // 2D vector of ints(n x m), initialized to val
#define vvll(n, m, val) vector<vector<long long>>(n, vector<long long>(m, val)) // 2D vector of long longs(n x m), initialized to val

#define LL_INF std::numeric_limits<long long int>::max()
#define INF std::numeric_limits<int>::max()


using namespace std;


template <typename T>
void pV(const std::vector<T>& vec, const std::string& label = "Vector") {
    std::cout << label << ": [ ";
    for(const auto& elem : vec) {
        std::cout << elem << " ";
    }
    std::cout << "]" << std::endl;
}


void dfs(int s, vector<bool> *visited, vector<int>(*adj)[]) {
    if((*visited)[s]) return;
   (*visited)[s] = true;
    // process node s


    for(auto u:(*adj)[s]) {
        dfs(u, visited, adj);
    }
}
/*
// DEPTH-FRIRST-SEARCH
vector<int> adj[N];                                                          
vector<bool> visited(N, false);
int u, v;
for(int i = 0; i < M;i++){
    cin >> u >> v;
    u--;
    v--;
    adj[u].push_back(v);
    adj[v].push_back(u);
}
*/

vector<long long> dijkstra(int N, int x, vector<vector<pair<int,int>>> *adj){
    vector<bool> processed(N, false);
    vector<long long> distance(N, LL_INF);
    priority_queue<pair<long long,int>> q;
    //for(int i = 1; i <= n; i++) distance[i] = INF;
    distance[x] = 0;
    q.push({0,x});
    while(!q.empty()) {
        int a = q.top().second; q.pop();
        if(processed[a]) continue;
        processed[a] = true;
        for(auto u :(*adj)[a]) {
            int b = u.first, w = u.second;
            if(distance[a]+w < distance[b]) {
                distance[b] = distance[a]+w;
                q.push({-distance[b],b});
            }
        }
    }
    return distance;


}


/*
DIJKSTRA
//vector<vector<pair<int,int>>> adj(N, vector<pair<int, int>>(N));
*/


int bfs(int start, const vector<vector<int>>& adj, int n) {
    vector<int> dist(n + 1, INF);
    queue<int> q;
    
    dist[start] = 0;
    q.push(start);
    
    while(!q.empty()) {
        int node = q.front();
        q.pop();
        
        for(int neighbor : adj[node]) {
            if(dist[neighbor] == INF) {
                dist[neighbor] = dist[node] + 1;
                q.push(neighbor);
            }
        }
    }
    
    int total_distance = 0;
    for(int i = 1; i <= n; i++) {
        total_distance += dist[i];
    }
    
    return total_distance;
}

int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);
    // Your code starts here
    int n, m;
    cin >> n >> m;

    vector<vector<int>> adj(n + 1);

    for(int i = 0; i < m; i++) {
        int a, b;
        cin >> a >> b;
        adj[a].push_back(b);
        adj[b].push_back(a);
    }

    int best_junction = 1;
    int min_average_distance = INF;

    for(int i = 1; i <= n; i++) {
        int total_distance = bfs(i, adj, n);
        
        if(total_distance < min_average_distance) {
            min_average_distance = total_distance;
            best_junction = i;
        }
    }

    cout << best_junction << endl;
    
    return 0;
}


Test details

Test 1

Verdict: ACCEPTED

input
2 1
1 2

correct output
1

user output
1

Test 2

Verdict: ACCEPTED

input
3 3
1 2
1 3
2 3

correct output
1

user output
1

Test 3

Verdict: ACCEPTED

input
3 3
1 2
1 3
2 3

correct output
1

user output
1

Test 4

Verdict: ACCEPTED

input
3 2
1 3
2 3

correct output
3

user output
3

Test 5

Verdict: ACCEPTED

input
4 5
1 2
1 3
1 4
2 3
...

correct output
1

user output
1

Test 6

Verdict: ACCEPTED

input
4 6
1 2
1 3
1 4
2 3
...

correct output
1

user output
1

Test 7

Verdict: ACCEPTED

input
4 4
1 2
1 4
2 3
3 4

correct output
1

user output
1

Test 8

Verdict: ACCEPTED

input
4 5
1 2
1 3
1 4
2 4
...

correct output
1

user output
1

Test 9

Verdict: ACCEPTED

input
4 6
1 2
1 3
1 4
2 3
...

correct output
1

user output
1

Test 10

Verdict: ACCEPTED

input
5 7
1 2
1 4
1 5
2 3
...

correct output
1

user output
1

Test 11

Verdict: ACCEPTED

input
5 6
1 2
1 3
1 4
1 5
...

correct output
1

user output
1

Test 12

Verdict: ACCEPTED

input
5 7
1 2
1 3
1 4
2 3
...

correct output
3

user output
3

Test 13

Verdict: ACCEPTED

input
5 7
1 2
1 3
1 4
2 3
...

correct output
3

user output
3

Test 14

Verdict: ACCEPTED

input
5 10
1 2
1 3
1 4
1 5
...

correct output
1

user output
1

Test 15

Verdict: ACCEPTED

input
5 5
1 2
1 5
2 3
2 5
...

correct output
2

user output
2

Test 16

Verdict: ACCEPTED

input
5 10
1 2
1 3
1 4
1 5
...

correct output
1

user output
1

Test 17

Verdict: ACCEPTED

input
5 4
1 4
1 5
2 4
3 5

correct output
1

user output
1

Test 18

Verdict: ACCEPTED

input
5 10
1 2
1 3
1 4
1 5
...

correct output
1

user output
1

Test 19

Verdict: ACCEPTED

input
5 4
1 3
1 5
2 4
3 4

correct output
3

user output
3

Test 20

Verdict: ACCEPTED

input
10 29
1 4
1 6
1 7
1 9
...

correct output
4

user output
4

Test 21

Verdict: ACCEPTED

input
10 24
1 3
1 4
1 5
1 6
...

correct output
4

user output
4

Test 22

Verdict: ACCEPTED

input
10 9
1 6
2 3
2 4
3 9
...

correct output
2

user output
2

Test 23

Verdict: ACCEPTED

input
10 11
1 2
1 3
1 6
2 7
...

correct output
5

user output
5

Test 24

Verdict: ACCEPTED

input
10 44
1 2
1 3
1 4
1 5
...

correct output
1

user output
1

Test 25

Verdict: ACCEPTED

input
10 12
1 3
1 7
1 10
2 8
...

correct output
7

user output
7

Test 26

Verdict: ACCEPTED

input
10 42
1 2
1 4
1 5
1 6
...

correct output
4

user output
4

Test 27

Verdict: ACCEPTED

input
10 12
1 2
1 5
2 3
2 5
...

correct output
3

user output
3

Test 28

Verdict: ACCEPTED

input
10 12
1 2
1 3
1 8
2 4
...

correct output
1

user output
1

Test 29

Verdict: ACCEPTED

input
10 9
1 10
2 3
2 5
3 9
...

correct output
2

user output
2

Test 30

Verdict: ACCEPTED

input
100 319
1 37
1 67
1 75
1 82
...

correct output
22

user output
22

Test 31

Verdict: ACCEPTED

input
100 266
1 31
1 65
1 71
1 89
...

correct output
76

user output
76

Test 32

Verdict: ACCEPTED

input
100 99
1 21
1 73
2 8
2 16
...

correct output
6

user output
6

Test 33

Verdict: ACCEPTED

input
100 101
1 39
1 76
2 43
2 60
...

correct output
39

user output
39

Test 34

Verdict: ACCEPTED

input
100 487
1 6
1 12
1 63
1 64
...

correct output
41

user output
41

Test 35

Verdict: ACCEPTED

input
100 102
1 12
1 39
2 4
2 92
...

correct output
97

user output
97

Test 36

Verdict: ACCEPTED

input
100 457
1 2
1 4
1 5
1 6
...

correct output
9

user output
9

Test 37

Verdict: ACCEPTED

input
100 102
1 2
1 11
1 12
1 15
...

correct output
2

user output
2

Test 38

Verdict: ACCEPTED

input
100 102
1 2
1 3
1 8
1 27
...

correct output
4

user output
4

Test 39

Verdict: ACCEPTED

input
100 103
1 66
1 92
2 20
2 23
...

correct output
50

user output
50

Test 40

Verdict: ACCEPTED

input
200 639
1 19
1 48
1 74
1 128
...

correct output
140

user output
140

Test 41

Verdict: ACCEPTED

input
200 533
1 61
1 65
1 71
1 116
...

correct output
28

user output
28

Test 42

Verdict: ACCEPTED

input
200 199
1 73
1 109
2 79
2 97
...

correct output
138

user output
138

Test 43

Verdict: ACCEPTED

input
200 201
1 76
1 107
2 43
2 60
...

correct output
18

user output
18

Test 44

Verdict: ACCEPTED

input
200 974
1 12
1 24
1 37
1 83
...

correct output
13

user output
13

Test 45

Verdict: ACCEPTED

input
200 202
1 123
1 170
2 127
2 133
...

correct output
6

user output
6

Test 46

Verdict: ACCEPTED

input
200 915
1 2
1 4
1 5
1 7
...

correct output
23

user output
23

Test 47

Verdict: ACCEPTED

input
200 202
1 2
1 11
1 12
1 15
...

correct output
2

user output
2

Test 48

Verdict: ACCEPTED

input
200 202
1 2
1 3
1 8
1 27
...

correct output
5

user output
5

Test 49

Verdict: ACCEPTED

input
200 207
1 92
1 156
2 33
2 103
...

correct output
28

user output
28

Test 50

Verdict: ACCEPTED

input
500 1597
1 16
1 19
1 73
1 190
...

correct output
364

user output
364

Test 51

Verdict: ACCEPTED

input
500 1333
1 71
1 76
1 197
1 289
...

correct output
492

user output
492

Test 52

Verdict: ACCEPTED

input
500 499
1 128
1 491
2 280
2 344
...

correct output
76

user output
76

Test 53

Verdict: ACCEPTED

input
500 501
1 170
1 405
2 43
2 234
...

correct output
246

user output
246

Test 54

Verdict: ACCEPTED

input
500 2434
1 49
1 60
1 80
1 83
...

correct output
32

user output
32

Test 55

Verdict: ACCEPTED

input
500 502
1 208
1 407
2 266
2 336
...

correct output
111

user output
111

Test 56

Verdict: ACCEPTED

input
500 2286
1 2
1 4
1 5
1 7
...

correct output
204

user output
204

Test 57

Verdict: ACCEPTED

input
500 502
1 2
1 11
1 12
1 15
...

correct output
2

user output
2

Test 58

Verdict: ACCEPTED

input
500 502
1 2
1 3
1 8
1 27
...

correct output
79

user output
79

Test 59

Verdict: ACCEPTED

input
500 519
1 92
1 333
2 10
2 170
...

correct output
170

user output
170

Test 60

Verdict: ACCEPTED

input
1000 3195
1 31
1 145
1 218
1 320
...

correct output
774

user output
774

Test 61

Verdict: ACCEPTED

input
1000 2667
1 24
1 61
1 142
1 303
...

correct output
648

user output
648

Test 62

Verdict: ACCEPTED

input
1000 999
1 99
1 165
2 280
2 344
...

correct output
611

user output
611

Test 63

Verdict: ACCEPTED

input
1000 1001
1 170
1 763
2 329
2 908
...

correct output
736

user output
736

Test 64

Verdict: ACCEPTED

input
1000 4869
1 98
1 209
1 419
1 602
...

correct output
939

user output
939

Test 65

Verdict: ACCEPTED

input
1000 1002
1 208
1 407
2 336
2 544
...

correct output
576

user output
576

Test 66

Verdict: ACCEPTED

input
1000 4572
1 2
1 4
1 5
1 7
...

correct output
592

user output
592

Test 67

Verdict: ACCEPTED

input
1000 1002
1 2
1 11
1 12
1 15
...

correct output
2

user output
2

Test 68

Verdict: ACCEPTED

input
1000 1002
1 2
1 3
1 8
1 27
...

correct output
512

user output
512

Test 69

Verdict: ACCEPTED

input
1000 1040
1 333
1 989
2 507
2 998
...

correct output
73

user output
73