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)))

Program in numpy percentile

import numpy as np

arr = [[14, 17, 12, 33, 44],

[15, 6, 27, 8, 19],

[23, 2, 54, 1, 4,]]

print("\narr : \n", arr)

print("\n50th Percentile of arr, axis = None : ",

np.percentile(arr, 50))

print("0th Percentile of arr, axis = None : ",

np.percentile(arr, 0))

print("\n50th Percentile of arr, axis = 0 : ",

np.percentile(arr, 50, axis =0))

print("0th Percentile of arr, axis = 0 : ",

np.percentile(arr, 0, axis =0))

Turtle 3D cubes

import turtle

screen=turtle.Screen()  

screen.setup(800,800)   

trtl = turtle.Turtle()

screen.title("3-D CUBES")

trtl.penup()

trtl.setposition(0,0)

trtl.setheading(90)

trtl.color('red')

def hexagon():

    for i in range(6):

        trtl.fd(50)

        trtl.rt(60)

i = 1

while i < 7:

    trtl.pendown()

    hexagon()

    trtl.right(60)

    i = i + 1 

Check if an URL is valid or not using Regular Expression

import re

def isValidURL(str):

regex = ("((http|https)://)(www.)?" +

"[a-zA-Z0-9@:%._\\+~#?&//=]" +

"{2,256}\\.[a-z]" +

"{2,6}\\b([-a-zA-Z0-9@:%" +

"._\\+~#?&//=]*)")

p = re.compile(regex)

if (str == None):

return False

if(re.search(p, str)):

return True

else:

return False

url = "https://www.pythonforengineers.in"

if(isValidURL(url) == True):

print("Yes")

else:

print("No")