# find missing number in array

Given an array [0...n] with a missing number, write a program to efficiently find the missing number.

The solution is truly beautiful, and consists of:

- a/ xoring all the numbers in the given range with the missing number
- b/ xoring all the numbers in the range
`[0...n]`

- a xor b

## functional style

```
1 from functools import reduce
2 from operator import ixor
3
4 find_missing = lambda A: ixor(reduce(ixor, arr), reduce(ixor, range(len(A) + 1)))
5 find_missing([0, 1, 2, 3, 4, 5, 6, 7, 8, 10])
```

Result:

```
1 9
```