Program for Maximum height when coins are arranged in a triangle

def squareRoot(n):

x = n

y = 1

e = 0.000001 

while (x - y > e):

x = (x + y) / 2

y = n/x

return x

def findMaximumHeight(N):

n = 1 + 8*N

maxh = (-1 + squareRoot(n)) / 2

return int(maxh)

N = 12

print(findMaximumHeight(N))

Program for Product of unique prime factors of a number

import math

def productPrimeFactors(n):

product = 1

if (n % 2 == 0):

product *= 2

while (n%2 == 0):

n = n/2

for i in range (3, int(math.sqrt(n)), 2):

if (n % i == 0):

product = product * i

while (n%i == 0):

n = n/i

if (n > 2):

product = product * n

return product

n = 44

print (int(productPrimeFactors(n)))