Write a program that outputs a downwards facing arrow composed of a rectangle and a right triangle. Arrow dimensions are defined by user specified arrow base height, arrow base width, and arrow head width.

Note: this program is designed for incremental development. Complete each step and submit for grading before starting the next step. Only a portion of tests pass after each step but confirm progress.

Step $1.$ Input the arrow base height $($int$)$ and width $($int$).$ Draw a rectangle using asterisks $($height x width$).$

Hint: use a nested loop in which the inner loop draws one row of $*$s$,$ and the outer loop iterates a number of times equal to the height.

Test Case #$1$

If input is:

$64$

Sample output is:

$****$

$****$

$****$

$****$

$****$

$****$

Step $2.$ Input the arrow head width and draw a right triangle.

Hint: use a nested loop.

Test Case #$2$

If input is:

$434$

Sample output is:

$***$

$***$

$***$

$***$

$****$

$***$

$**$

$*$

Step $3.$ Modify the program to only accept an arrow head width that is larger than the arrow base width. Use a loop to continue inputting the arrow head width until the value is larger than the arrow base width.

Test Case #$3$

If input is:

$43324$

Sample output is:

$***$

$***$

$***$

$***$

$****$

$***$

$**$

$*$