Prime Number of Set Bits in Binary Representation.py

'''
Given two integers L and R, find the count of numbers in the range [L, R] (inclusive) having a prime number of set bits in their binary representation.

(Recall that the number of set bits an integer has is the number of 1s present when written in binary. For example, 21 written in binary is 10101 which has 3 set bits. Also, 1 is not a prime.)

Example 1:

Input: L = 6, R = 10
Output: 4
Explanation:
6 -> 110 (2 set bits, 2 is prime)
7 -> 111 (3 set bits, 3 is prime)
9 -> 1001 (2 set bits , 2 is prime)
10->1010 (2 set bits , 2 is prime)
Example 2:

Input: L = 10, R = 15
Output: 5
Explanation:
10 -> 1010 (2 set bits, 2 is prime)
11 -> 1011 (3 set bits, 3 is prime)
12 -> 1100 (2 set bits, 2 is prime)
13 -> 1101 (3 set bits, 3 is prime)
14 -> 1110 (3 set bits, 3 is prime)
15 -> 1111 (4 set bits, 4 is not prime)
Note:

L, R will be integers L <= R in the range [1, 10^6].
R - L will be at most 10000.
'''

class Solution(object):
    def countPrimeSetBits(self, L, R):
        """
        :type L: int
        :type R: int
        :rtype: int
        """
        
        res = 0
        for i in xrange(L, R+1):
            if self.isGoodRepresentation(i):
                res += 1
                
        return res
    
    def isGoodRepresentation(self, x):
        tmp = self.getBitCount(x)
        if self.isPrime(tmp):
            return True
        return False
    
    def getBitCount(self, x):
        res = 0
        while x > 0:
            res += x & 1
            x >>= 1
        return res
    
    def isPrime(self, tmp):
        if tmp < 2:
            return False
        for i in xrange(2, tmp - 1):
            if tmp % i == 0:
                return False
            
        return True