Today I am going to show how to solve the Missing Number algorithm problem.

Here is the problem:

Solution:
I solved this problem in 2 different ways.

The first one is easier and simpler. I used a Set data structure to store an array. Then I iterate through it to find which number is missing.

var missingNumber = function(nums) {
    let map = new Set(nums);

    let expectedLength = nums.length + 1

    for (let number = 0; number < expectedLength; number++) {
        if (!map.has(number)) {
            return number
        }
    }

    return -1
};

For the second solution I use Gauss' formula, which helps to sum sequences of numbers. You can see the formula below:

Essentially, all we have to do is to find the expected sum by using Gauss’ formula and then subtract from it the actual sum of the array.

var missingNumber = function(nums) {
    let expectedSum = nums.length*(nums.length + 1)/2
    let actualSum = nums.reduce((a, b) => a + b, 0)
    let missingNumber = expectedSum - actualSum

    return missingNumber 
};