Program for Find sum of even factors of a number

import math

def sumofFactors(n) :

if (n % 2 != 0) :

return 0

res = 1

for i in range(2, (int)(math.sqrt(n)) + 1) :

count = 0

curr_sum = 1

curr_term = 1

while (n % i == 0) :

count= count + 1

n = n // i

if (i == 2 and count == 1) :

curr_sum = 0

curr_term = curr_term * i

curr_sum = curr_sum + curr_term

res = res * curr_sum

if (n >= 2) :

res = res * (1 + n)

return res

n = 18

print(sumofFactors(n))


Program for Legendre\’s Conjecture

import math

def isprime( n ):

i = 2

for i in range (2, int((math.sqrt(n)+1))):

if n%i == 0:

return False

return True

def LegendreConjecture( n ):

print ( "Primes in the range ", n*n

, " and ", (n+1)*(n+1)

, " are:" )

for i in range (n*n, (((n+1)*(n+1))+1)):

if(isprime(i)):

print (i)

n = 50

LegendreConjecture(n)


Design with turtle

import turtle

turtle.speed(0)

turtle.bgcolor("black")

for i in range(15):

for colours in ("red", "magenta", "yellow", "orange", "blue", "green", "purple"):

turtle.color(colours)

turtle.pensize(3)

turtle.left(4)

turtle.forward(200)

turtle.left(90)

turtle.forward(200)

turtle.left(90)

turtle.forward(200)

turtle.left(90)

turtle.forward(200)

turtle.left(90)


Counter to find the size of largest subset of anagram words

from collections import Counter

def maxAnagramSize(input):

input = input.split(" ")

for i in range(0,len(input)):

input[i]=''.join(sorted(input[i]))

freqDict = Counter(input)

print (max(freqDict.values()))

if __name__ == "__main__":

input = 'ant magenta magnate tan gnamate'

maxAnagramSize(input)


program to count Even and Odd numbers in a List Using Python Lambda Expressions

list1 = [10, 21, 4, 45, 66, 93, 11]

odd_count = len(list(filter(lambda x: (x%2 != 0) , list1)))

even_count = len(list(filter(lambda x: (x%2 == 0) , list1)))

print("Even numbers in the list: ", even_count)

print("Odd numbers in the list: ", odd_count)