Write a program that asks the user to enter an integer between $-50$ and $+50,$ inclusive. Your program must check that the entered value is within this range and repeatedly ask the user to enter an integer in the range if it is not. For positive numbers, print a pattern that has $1$ on the first line, $22$ on the second line, $333$ on the third line, and so on$,$ up to the value of the number entered. For negative numbers, print the pattern in the opposite direction, that is$,$ with the largest number printed first down to $1.$ Repeat this process until the user enters $0.$