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# Java program to print a variation of Circular (Spiral) Matrix

#### Question:

Write a Program in Java to fill a square matrix of size ‘n*n” in a spiral fashion (from the inside) with natural numbers from 1 to n*n, taking ‘n’ as input.

For example: if n = 5, then n*n = 25, hence the array will be filled as given below.

Note: Don’t be confused as to how the filling will start from the center. Just treat the above program as (see the difference in the direction of the arrows):

So, you see, this question is nothing but the same circular matrix which we did earlier (See: Java Program to print Circular (Spiral) Matrix). The only change is that here the filling of numbers is from ‘n*n’ to 1 every time decreasing by one. In the earlier program it was from 1 to ‘n*n’ every time increasing by one.

So slight changes in our earlier program will result into this new spiral matrix. The changes will be:

• Start ‘k’ from ‘n*n’ and not 1
• Change the condition in while loop to while(k >= 1)
• Decrease the value of ‘k’ every time as ‘k- -‘

#### Solution:

```/**
* The class Circular_Matrix2 creates a Square Matrix of size n*n and fills it in a circular fashion
* @author : www.javaforschool.com
* @Program Type : BlueJ Program - Java
*/

import java.io.*;
class Circular_Matrix2
{
public static void main(String args[])throws IOException
{
System.out.print("Enter the number of elements : ");

int A[][]=new int[n][n];
int k=n*n, c1=0, c2=n-1, r1=0, r2=n-1;

while(k>=1)
{
for(int i=c1;i<=c2;i++)
{
A[r1][i]=k--;
}

for(int j=r1+1;j<=r2;j++)
{
A[j][c2]=k--;
}

for(int i=c2-1;i>=c1;i--)
{
A[r2][i]=k--;
}

for(int j=r2-1;j>=r1+1;j--)
{
A[j][c1]=k--;
}

c1++;
c2--;
r1++;
r2--;
}

/* Printing the Circular matrix */
System.out.println("The Circular Matrix is:");
for(int i=0;i<n;i++)
{
for(int j=0;j<n;j++)
{
System.out.print(A[i][j]+ "\t");
}
System.out.println();
}
}
}```

## ISC 2017 Computer Science Solution + Examiner’s Comments – From the Council

Solution of ISC 2017 Computer science Paper as provided by the Council for the Indian School Certificate Examinations.