# Pascals Triangle #
import math
print("This program calculates 'pascals triangle' row by row for you.")
print("Just simply type in an integer for the number of rows you want to calculate.")
print("="*75)
height = input("Please enter an integer for the height of pascals triangle ")
old_row = []
list_1 = []

while not (height.isdigit() and int(height)> 0):
    height = input("Please enter an integer for the height of pasclas triangle ")
height = int(height)

def make_new_row(old_row):
    if old_row == []:
        old_row = [1]
        return(old_row)
    
    elif old_row == [1]:
        old_row = [1,1]
        return(old_row)
    else:
        old_list = old_row
        new_row =[1]
        one = 1
        n = 0
        for i in range(len(old_list)-1):
            new_value = old_list[n]+old_list[n+1]
            i += 1
            new_row.append(new_value)
            n = n + 1
        new_row.append(one)
        return(new_row)

for i in range(height):
    woop =make_new_row(old_row)
    list_1.append(woop)
    old_row = woop
    print(woop)
#print(list_1)