xor of sequence of numbers

Posted by ArG0NaUt on Programmers See other posts from Programmers or by ArG0NaUt
Published on 2012-07-01T06:30:00Z Indexed on 2012/07/01 9:22 UTC
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binary

You are given with a sequence of natural numbers, you can add any natural number to any number in the sequence such that their xor becomes zero. Your goal is to minimize the sum of added numbers.

e.g. Consider the following examples :

sequence : 1, 3 answer : 2, adding 2 to 1 we get 3^3=0.

sequence : 10, 4, 5, 1 answer: 6, adding 3 to 10 & 3 to 8 we get 13^4^8^1 = 0.

sequence : 4, 4 answer : 0, since 4^4 = 0.

I tried working on binary representations of sequence number but it got so complex. I want to know if there is any simple and efficient way to solve this problem.

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