Wave Pattern

Given wave height H and number of wave cycles W, print a discrete triangular wave using asterisks (*). Each cycle spans 2 * (H - 1) columns, so the full width is W * 2 * (H - 1) + 1 columns. The wave starts at the bottom row in column 0 and rises to the top row at the middle of each cycle.

Input Format

Two space-separated integers H and W.

Output Format

Print H rows of wave pattern.

Constraints:2 <= H <= 6, 1 <= W <= 4

Concepts Required:

Periodic coordinate mappingTriangular wave projection |x - H|

Expected Pattern PreviewASCII Monospace

H=3, W=2:
  *   *  
 * * * * 
*   *   *

Notice how character spacing and row counts scale systematically based on the input N.

Concrete Examples

Example 1

Input:

3 2

Output:

  *   *  
 * * * * 
*   *   *

Explanation: Height 3 gives a period of 4 columns; 2 cycles span 2 * 4 + 1 = 9 columns.

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