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LeetCode 268: Missing Number

2016-03-29 04:44 323 查看
Missing number. Given an array containing n distinct numbers taken from 0, 1, 2, ... n, find the one that is missing from the array.

for example:

Given nums = [0, 1, 3] return 2;

// This one is also bit manipulation.
int missingNumber(vector<int>& nums) {
int n = nums.size();
int result = 0;
for(int i = 0; i < n; ++i) {
result ^= i ^ nums[i];
}
return result ^ n;
}
// or we can use binary search if the array is already sorted.
int findMissing(vector<int>& nums) {
int n = nums.size();
int left = 0;
int right = nums.size() - 1;
while(left <= right) {
int m = (left + right) / 2;
if(m != 0 && nums[m-1] + 1 != nums[m]) return nums[m] - 1;
if(m == 0 && nums[m] != 0) return 0;
if(m !=  n - 1 && nums[m + 1] - 1 != nums[m]) return nums[m] + 1;
if(nums[m] == m) left = m + 1;
else right = m - 1;
}
return -1;
}
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