The naive approach is just copy everything into a temp array and sort it, but they want O(1) space so that's out.
Recognize that merging from the front would require shifting elements, so instead merge from the end of the first array (which has extra space) backwards. Use three pointers: one for the last valid element of the first array, one for the last element of the second array, and one for the last position of the merged array. Compare elements and place the larger one at the end, moving pointers accordingly.
Pro tip: Emphasize that this approach achieves O(m+n) time and O(1) space, and mention that it avoids the need for additional arrays or shifting. Also, clarify that the first array's extra space is at the end, so filling from the back is natural and efficient.
Confirm that the first array has enough space to hold all elements from both arrays, and that the extra space is at the end. Ask if the arrays are sorted in ascending order and if there are any duplicate handling requirements.
Explain that merging from the front would require shifting elements, leading to O(m*n) time. Instead, merge from the end to utilize the extra space and achieve O(m+n) time with constant space.
Initialize three pointers: i = m-1 (last valid element in first array), j = n-1 (last element in second array), and k = m+n-1 (last position in first array).
While j >= 0, compare nums1[i] and nums2[j]. Place the larger value at nums1[k], then decrement the corresponding pointer and k. If i < 0, copy remaining elements from nums2.
After the loop, if any elements remain in nums2, copy them to the beginning of nums1. If elements remain in nums1, they are already in place. Walk through a small example to verify correctness.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.