Definition
Merge sort is an efficient, general-purpose, comparison-based sorting algorithm. Merge sort is a divide and conquer algorithm, based on the idea of breaking down a array into several subarrays until each one consists of a single element and merging those subarrays in a manner that results into a sorted array.
Implementation
- Use recursion.
- If the
length
of the array is less than2
, return the array. - Use
Math.floor()
to calculate the middle point of the array. - Use
Array.prototype.slice()
to slice the array in two and recursively callmergeSort()
on the created subarrays. - Finally, use
Array.from()
andArray.prototype.shift()
to combine the two sorted subarrays into one.
代码实现
const mergeSort = arr => {
if (arr.length < 2) return arr;
const mid = Math.floor(arr.length / 2);
const l = mergeSort(arr.slice(0, mid));
const r = mergeSort(arr.slice(mid, arr.length));
return Array.from({ length: l.length + r.length }, () => {
if (!l.length) return r.shift();
else if (!r.length) return l.shift();
else return l[0] > r[0] ? r.shift() : l.shift();
});
};
mergeSort([5, 1, 4, 2, 3]); // [1, 2, 3, 4, 5]
Complexity
The algorithm has an average time complexity of O(n log n)
, where n
is the size of the input array.