Pattern Printing

def Pattern(line):

pat=""

for i in range(0,line):

for j in range(0,line):

if ((j == 1 and i != 0 and i != line-1) or ((i == 0 or

i == line-1) and j > 1 and j < line-2) or (i == ((line-1)/2)

and j > line-5 and j < line-1) or (j == line-2 and

i != 0 and i != line-1 and i >=((line-1)/2))):

pat=pat+"#"

else:

pat=pat+" "

pat=pat+"\n"

return pat

line = 7

print(Pattern(line))

Program for Brick Sort

def oddEvenSort(arr, n):

    isSorted = 0

    while isSorted == 0:

        isSorted = 1

        temp = 0

        for i in range(1, n-1, 2):

            if arr[i] > arr[i+1]:

                arr[i], arr[i+1] = arr[i+1], arr[i]

                isSorted = 0

                  

        for i in range(0, n-1, 2):

            if arr[i] > arr[i+1]:

                arr[i], arr[i+1] = arr[i+1], arr[i]

                isSorted = 0

    return

arr = [34, 2, 10, -9]

n = len(arr)

oddEvenSort(arr, n);

for i in range(0, n):

    print(arr[i], end =" ")

      

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)