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50 changes: 50 additions & 0 deletions Data-Structures/Array/mergeSort.js
Original file line number Diff line number Diff line change
@@ -0,0 +1,50 @@
function mergeSort(arr) {
if (arr.length <= 1) {
return arr; // Base case: array is already sorted
}

// Split the array into two halves
const mid = Math.floor(arr.length / 2);
const left = arr.slice(0, mid);
const right = arr.slice(mid);

// Recursive calls to mergeSort() for both halves
const sortedLeft = mergeSort(left);
const sortedRight = mergeSort(right);

// Merge the sorted halves
return merge(sortedLeft, sortedRight);
}

function merge(left, right) {
let mergedArray = [];
let leftIndex = 0;
let rightIndex = 0;

// Merge the two sorted arrays
while (leftIndex < left.length && rightIndex < right.length) {
if (left[leftIndex] <= right[rightIndex]) {
mergedArray.push(left[leftIndex]);
leftIndex++;
} else {
mergedArray.push(right[rightIndex]);
rightIndex++;
}
}

// Append remaining elements from left or right (if any)
while (leftIndex < left.length) {
mergedArray.push(left[leftIndex]);
leftIndex++;
}

while (rightIndex < right.length) {
mergedArray.push(right[rightIndex]);
rightIndex++;
}

return mergedArray;
}

// Export the mergeSort() function
module.exports = mergeSort;