XOR Operation Intuition

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Except for one, every element in an array of numbers appears twice. 

Locate that solitary one.

Keep in mind that your algorithm should have a linear runtime complexity. 

Could you do that without using any more memory?

class Solution {
public:
    int singleNumber(vector<int>& nums) {
        int result = 0;
        for(auto & c : nums) {
            result ^= c;
        }
        return result;
    }
};

First of all, what sorts of keywords should I be paying attention to in order to figure out that I should be using an XOR operation for this question?

Also, why does XOR'ing all items in the vector with each other give us the one that is not repeated?

Jul 22 in C++ by Nicholas
• 5,020 points
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