--- layout: page title: Missing Number --- #### sort #### hashset #### gauss equation {% highlight python %} def missingNumber(self, nums: List[int]) -> int: n=len(nums) expected = (n*(n+1))//2 actual = sum(nums) return expected-actual {% endhighlight %} #### xor {% highlight python %} nums = [3,0,1] n = len(nums) # xor index with value xor = 0 for i, num in enumerate(nums): xor ^= i^num # xor with length gives you missing num missing = xor^n print(missing) {% endhighlight %} ![image1](https://bubblesortblog.files.wordpress.com/2020/04/img_20200409_102858.jpg)