Illuminati

#include <bits/stdc++.h>
using namespace std;

#define int long long
int n;

int triangleInGraph(vector<vector<int>>& graph)
{
    int triangle_count = 0;

    // Iterate through all pairs of vertices (i, j)
    for (int i = 0; i < n; i++) {
        for (int j = i + 1; j < n; j++) {
            // If there's an edge between i and j
            if (graph[i][j] == 1) {
                // Check for common neighbors to form a triangle
                for (int k = j + 1; k < n; k++) {
                    if (graph[i][k] == 1 && graph[j][k] == 1) {
                        // i, j, and k form a triangle
                        triangle_count++;
                    }
                }
            }
        }
    }

    return triangle_count;
}

signed main()
{
    cin >> n;

    // Initialize the adjacency matrix
    vector<vector<int>> graph(n, vector<int>(n, 0));

    // Read the input matrix
    for (int i = 0; i < n; i++) {
        string temp;
        cin >> temp;
        for (int j = 0; j < n; j++) {
            graph[i][j] = temp[j] - '0';
        }
    }

    // Each triangle is counted three times, so divide by 3
    cout << triangleInGraph(graph) << endl;

    return 0;
}

Test 1

Verdict: ACCEPTED

Test 2

Verdict: ACCEPTED

Test 3

Verdict: ACCEPTED

Test 4

Verdict: ACCEPTED

Test 5

Verdict: ACCEPTED

Test 6

Verdict: ACCEPTED

Test 7

Verdict: ACCEPTED

Test 8

Verdict: ACCEPTED

Test 9

Verdict: ACCEPTED

Test 10

Verdict: ACCEPTED

Test 11

Verdict: ACCEPTED

Test 12

Verdict: ACCEPTED

Test 13

Verdict: ACCEPTED

Test 14

Verdict: ACCEPTED

Test 15

Verdict: ACCEPTED

Test 16

Verdict: ACCEPTED

Test 17

Verdict: ACCEPTED

Test 18

Verdict: ACCEPTED

Test 19

Verdict: ACCEPTED

Test 20

Verdict: ACCEPTED

Test 21

Verdict: ACCEPTED

Test 22

Verdict: ACCEPTED

Test 23

Verdict: ACCEPTED

Test 24

Verdict: ACCEPTED

Test 25

Verdict: ACCEPTED

Test 26

Verdict: ACCEPTED

Test 27

Verdict: ACCEPTED

Test 28

Verdict: ACCEPTED

Test 29

Verdict: ACCEPTED

Test 30

Verdict: ACCEPTED

Test 31

Verdict: ACCEPTED

Test 32

Verdict: ACCEPTED

Test 33

Verdict: ACCEPTED

Test 34

Verdict: ACCEPTED

Test 35

Verdict: ACCEPTED

Test 36

Verdict: ACCEPTED

Test 37

Verdict: ACCEPTED

Test 38

Verdict: ACCEPTED

Test 39

Verdict: ACCEPTED

Test 40

Verdict: ACCEPTED

Test 41

Verdict: ACCEPTED

Test 42

Verdict: ACCEPTED

Test 43

Verdict: ACCEPTED

Test 44

Verdict: ACCEPTED

Test 45

Verdict: ACCEPTED

Test 46

Verdict: ACCEPTED

Test 47

Verdict: ACCEPTED

Test 48

Verdict: ACCEPTED

Test 49

Verdict: ACCEPTED

Test 50

Verdict: ACCEPTED

Test 51

Verdict: ACCEPTED

Test 52

Verdict: TIME LIMIT EXCEEDED

Test 53

Verdict: TIME LIMIT EXCEEDED