Mirrored Incrementing + Inverted Squared Number-Star

Understanding the Problem

The goal is to print a mirrored version of the incrementing and inverted squared number-star pattern.

Pattern Explanation

The pattern follows a grid structure where numbers increase sequentially but are printed in reverse order for each row.

4*3*2*1
12*11*10*9
8*7*6*5
16*15*14*13
            

Observations:

• The pattern consists of 4 rows and 4 columns.
• Numbers increment from left to right across the grid.
• Each row is printed in reverse order.
• Each number is followed by a '*', except the last number in each row.

Algorithm

The pattern follows these steps:

1. Initialize a number counter starting from 1.
2. Store values in a 2D array as they increment.
3. Loop through rows and print numbers in reverse order.
4. Within each row, print numbers right to left with '*'.
5. Move to the next line after printing each row.

Method 1: Using Nested Loops

This method first stores values in an array and then prints them in reverse order.

public class MirroredNumberPattern {
    public static void printPattern(int n) {
        int[][] arr = new int[n][n];
        int num = 1;
        
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < n; j++) {
                arr[i][j] = num++;
            }
        }
        
        for (int i = 0; i < n; i++) {
            for (int j = n - 1; j >= 0; j--) {
                System.out.print(arr[i][j]);
                if (j > 0) System.out.print("*");
            }
            System.out.println();
        }
    }
    
    public static void main(String[] args) {
        int size = 4;
        printPattern(size);
    }
}
            

Output:

4*3*2*1
12*11*10*9
8*7*6*5
16*15*14*13