LeetCode - Single number- Jan 31, 2015

/*
Given an array of integers, every element appears twice except for one. Find that single one.

Note:
Your algorithm should have a linear runtime complexity. Could you implement it without using extra memory?

*/

public class SingleNumber {
   
	//reference: http://www.programcreek.com/2012/12/leetcode-solution-of-single-number-in-java/
	/*
		Thoughts
		The key to solve this problem is bit manipulation. XOR will return 1 only on two different bits.
		So if two numbers are the same, XOR will return 0. Finally only one number left.	
	*/
		 
	//reference: http://rleetcode.blogspot.com/2014/01/blog-post_1.html	 
	public static int singleNumber(int[] A) {
		if(A == null || A.length==0) 
			return -1; // throw exception
		int result = A[0];
		for(int i =1; i< A.length; i++) {
			result ^= A[i];
		}
		return result;
	}
	
	
	public static void main(String args[]) {
		//int A[] = { 1, 1, 2, 2, 3, 4, 4, 5, 5, 6, 6};
		// int A[] = {1};
		//int A[] = {2 , 2, 1};
		int A[] =	{1,3,1,-1,3};
		int result = singleNumber(A);
		System.out.println("result=" + result);
	}
}




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