JavaAlgorithms/Others/BrianKernighanAlgorithm.java
2017-12-30 02:11:15 +05:30

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import java.util.Scanner;
/**
*
* @author Nishita Aggarwal
*
* Brian Kernighans Algorithm
* algorithm to count the number of set bits in a given number
* Subtraction of 1 from a number toggles all the bits (from
* right to left) till the rightmost set bit(including the
* rightmost set bit).
* So if we subtract a number by 1 and do bitwise & with
* itself (n & (n-1)), we unset the rightmost set bit.
* If we do n & (n-1) in a loop and count the no of times loop
* executes we get the set bit count.
* Number of iterations of the loop is equal to the number of
* set bits in a given integer.
*
* Time Complexity: O(logn)
*
*/
public class BrianKernighanAlgorithm {
/**
* @param num: number in which we count the set bits
*
* @return int: Number of set bits
* */
static int countSetBits(int num)
{
int cnt = 0;
while(num != 0)
{
num = num & (num-1);
cnt++;
}
return cnt;
}
/**
*
* @param args : command line arguments
*
*/
public static void main(String args[])
{
Scanner sc = new Scanner(System.in);
int num = sc.nextInt();
int setBitCount = countSetBits(num);
System.out.println(setBitCount);
sc.close();
}
}