CH00SA (CodeHeat JULY) Editorial

Author: salik_anwer
Tester: prasoonjain006
Editorialist: salik_anwer

DIFFICULTY:
Cake walk-Easy
PREREQUISITES:
Array, Matrix

PROBLEM:
Given a square matrix (N × N). Determine if the leading diagonal is Strictly Increasing or not. If it is strictly increasing then give output 1, otherwise print 0.

EXPLANATION:

• The leading diagonal of a square matrix is given by traversing the entries of the given matrix from top-left corner to bottom-right corner.
• It will be strictly increasing if the next element of the diagonal is greater than the current element when moving top to bottom in the diagonal.
• The coordinates of the leading diagonal elements are always (i, i) for a matrix. So, we have to use a for loop to traverse the (i, i) index and incrementing the index with every iteration.
• Meanwhile we will check if the current index entry is less than the entry on the next index in the leading diagonal.
• If the above condition is true for every element in the leading diagonal, the matrix is strictly increasing, else, it is not.

TIME COMPLEXITY:
O(N²)

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

int main() {
int t;
cin>>t;
while(t–){
int n;
cin>>n;
int matrix[n][n];
for(int i=0;i<n;i++){
for(int j=0;j<n;j++){
cin>>matrix[i][j];
}
}
int chk;
for(int i=0;i<n-1;i++){
if(matrix[i+1][i+1]>matrix[i][i]){
chk=1;
}
else{
chk=0;
break;
}
}
cout<<chk<<endl;
}
return 0;
}