## Blog Pages

### N Queen Problem

global N

N = 4

def printSolution(board):

for i in range(N):

for j in range(N):

print (board[i][j], end = " ")

print()

def isSafe(board, row, col):

for i in range(col):

if board[row][i] == 1:

return False

for i, j in zip(range(row, -1, -1),

range(col, -1, -1)):

if board[i][j] == 1:

return False

for i, j in zip(range(row, N, 1),

range(col, -1, -1)):

if board[i][j] == 1:

return False

return True

def solveNQUtil(board, col):

if col >= N:

return True

for i in range(N):

if isSafe(board, i, col):

board[i][col] = 1

if solveNQUtil(board, col + 1) == True:

return True

board[i][col] = 0

return False

def solveNQ():

board = [ [0, 0, 0, 0],

[0, 0, 0, 0],

[0, 0, 0, 0],

[0, 0, 0, 0] ]

if solveNQUtil(board, 0) == False:

print ("Solution does not exist")

return False

printSolution(board)

return True

solveNQ()

### Interpolation Search

def interpolationSearch(arr, lo, hi, x):

if (lo <= hi and x >= arr[lo] and x <= arr[hi]):

pos = lo + ((hi - lo) // (arr[hi] - arr[lo]) *

(x - arr[lo]))

if arr[pos] == x:

return pos

if arr[pos] < x:

return interpolationSearch(arr, pos + 1,

hi, x)

if arr[pos] > x:

return interpolationSearch(arr, lo,

pos - 1, x)

return -1

arr = [10, 12, 13, 16, 18, 19, 20,

21, 22, 23, 24, 33, 35, 42, 47]

n = len(arr)

x = 18

index = interpolationSearch(arr, 0, n - 1, x)

if index != -1:

print("Element found at index", index)

else:

print("Element not found")

### program to add two numbers in base 14

def getNumeralValue(num) :

if( num >= '0' and num <= '9') :

return ord(num) - ord('0')

if( num >= 'A' and num <= 'D') :

return ord(num ) - ord('A') + 10

def getNumeral(val):

if( val >= 0 and val <= 9):

return chr(val + ord('0'))

if( val >= 10 and val <= 14) :

return chr(val + ord('A') - 10)

def sumBase14(num1, num2):

l1 = len(num1)

l2 = len(num2)

carry = 0

if(l1 != l2) :

print("Function doesn't support numbers of different"

" lengths. If you want to add such numbers then"

" prefix smaller number with required no. of zeroes")

res = [0]*(l1 + 1)

for i in range(l1 - 1, -1, -1):

nml1 = getNumeralValue(num1[i])

nml2 = getNumeralValue(num2[i])

res_nml = carry + nml1 + nml2;

if(res_nml >= 14) :

carry = 1

res_nml -= 14

else:

carry = 0

res[i+1] = getNumeral(res_nml)

if(carry == 0):

return (res + 1)

res[0] = '1'

return res

if __name__ == "__main__":

num1 = "DC2"

num2 = "0A3"

print("Result is ",end="")

res = sumBase14(num1, num2)

for i in range(len(res)):

print(res[i],end="")

### Stooge Sort

def stoogesort(arr, l, h):

if l >= h:

return

if arr[l]>arr[h]:

t = arr[l]

arr[l] = arr[h]

arr[h] = t

if h-l + 1 > 2:

t = (int)((h-l + 1)/3)

stoogesort(arr, l, (h-t))

stoogesort(arr, l + t, (h))

stoogesort(arr, l, (h-t))

arr = [2, 4, 5, 3, 1]

n = len(arr)

stoogesort(arr, 0, n-1)

for i in range(0, n):

print(arr[i], end = ' ')

### checking the given number is Lucky or Not

import math

def isLucky(n):

ar = [0] * 10

while (n > 0):

digit = math.floor(n % 10)

if (ar[digit]):

return 0

ar[digit] = 1

n = n / 10

return 1

arr = [1291, 897, 4566, 1232, 80, 700]

n = len(arr)

for i in range(0, n):

k = arr[i]

if(isLucky(k)):

print(k, " is Lucky ")

else:

print(k, " is not Lucky ")