Insertion sort
Definition
Insertion sort is a simple sorting algorithm that builds the final sorted array one element at a time. It uses comparison to find the correct position to insert the current element at, in order to maintain the sorted subarray.
Implementation
- Use
Array.prototype.reduce()
to iterate over all the elements in the given array. - If the
length
of the accumulator is0
, add the current element to it. - Use
Array.prototype.some()
to iterate over the results in the accumulator until the correct position is found. - Use
Array.prototype.splice()
to insert the current element into the accumulator.
const insertionSort = arr => arr.reduce((acc, x) => { if (!acc.length) return [x]; acc.some((y, j) => { if (x <= y) { acc.splice(j, 0, x); return true; } if (x > y && j === acc.length - 1) { acc.splice(j + 1, 0, x); return true; } return false; }); return acc; }, []); insertionSort([6, 3, 4, 1]); // [1, 3, 4, 6]
Complexity
The algorithm has an average time complexity of O(n^2)
, where n
is the size of the input array.