Problem: Example

Input

0 3 1 7 5 9 8 6 4 2
7 0 9 2 1 5 4 8 6 3
4 2 0 6 8 7 1 3 5 9
1 7 5 0 9 8 3 4 2 6
6 1 2 3 0 4 5 9 7 8
3 6 7 4 2 0 9 5 8 1
5 8 6 9 7 2 0 1 3 4
8 9 4 5 3 6 2 0 1 7
9 4 3 8 6 1 7 2 0 5
2 5 8 1 4 3 6 7 9 0


Output

0

Solution (in CPP):

Solution:
#include <iostream>
#include <vector>
using namespace std;

int main(){
    int t[10][10];
    for(int i=0; i<10; i++){
        for(int j=0; j<10; j++){
            cin >> t[i][j];
        }
    }

    int count=0;
    for(int id=0; id<10000; id++){
        vector<int> d(5,0);
        int num = id;
        for(int i=3; i>=0; i--){
            d[i] = num%10;
            num /= 10;
        }
        for(int i=0; i<4; i++){
            d[4] = t[d[4]][d[i]];
        }

        bool miss=false;
        //altering
        for(int i=0; i<5; i++){
            for(int j=1; j<=9; j++){
                vector<int> tmp = d;
                tmp[i] = (d[i]+j)%10;
                int check=0;
                for(int k=0; k<5; k++){
                    check = t[check][tmp[k]];
                }
                if(check == 0){
                    miss=true;
                    i=5; break;
                }
            }
        }
        //transposing
        for(int i=0; i<4; i++){
            if(d[i]==d[i+1]) continue;
            vector<int> tmp = d;
            tmp[i] = d[i+1];
            tmp[i+1] = d[i];
            int check=0;
            for(int k=0; k<5; k++){
                check = t[check][tmp[k]];
            }
            if(check == 0){
                miss=true;
                break;
            }
        }
            
        if(miss) count++;
    }

    cout << count << endl;
    return 0;
}