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# AI solution for JavaScript Coding Question on BFE.dev

136. find median of two sorted array

One possible solution for the problem is to merge both arrays into a single sorted array and then find the median.

`function median(arr1, arr2) { let merged = []; let i = 0; let j = 0; while (i < arr1.length && j < arr2.length) { if (arr1[i] <= arr2[j]) { merged.push(arr1[i]); i++; } else { merged.push(arr2[j]); j++; } } merged = merged.concat(arr1.slice(i)).concat(arr2.slice(j)); const mid = Math.floor(merged.length / 2); return merged.length % 2 === 0 ? (merged[mid-1] + merged[mid])/2 : merged[mid];}`

The time complexity of this approach is O(m+n), where m and n are the lengths of the two arrays. The space complexity is also O(m+n), which is the space needed to store the merged array.

It's possible to improve the time complexity to O(log(min(m,n))) by using the binary search approach, where we find the partition in both arrays such that the elements on the left are smaller than the elements on the right, and then check if the total number of elements is even or odd to compute the median. However, this approach requires careful handling of edge cases and is more complex to implement.