Use a three-pointer technique: one pointer at the last valid element of the first array, one at the last element of the second array, and one at the last position of the first array's total capacity. Compare elements from the end and place the larger one at the write pointer, moving pointers backward until all elements are merged. This avoids shifting and achieves O(m+n) time with O(1) extra space.
Pro tip: Emphasize that merging from the end is the key insight to avoid overwriting unmerged elements, and mention that this approach is optimal for in-place merging. Also, clarify edge cases like when the second array is empty or when all elements of the second array are smaller than the first array's elements.
Confirm that the first array has enough trailing space (e.g., filled with zeros or placeholders) and that both arrays are sorted ascending. Ask if the arrays can contain duplicates and if stability matters.
Let m be the number of valid elements in the first array, n be the length of the second array. Set i = m-1 (last valid in first), j = n-1 (last in second), and k = m+n-1 (last position in first array's total capacity).
While i >= 0 and j >= 0, compare nums1[i] and nums2[j]. Place the larger at nums1[k], then decrement the corresponding pointer and k. This ensures we never overwrite unprocessed elements.
If j >= 0 after the loop, copy remaining elements from nums2 into nums1[0..j]. If i >= 0, they are already in place, so no action needed.
State time complexity O(m+n) and space O(1). Discuss edge cases: nums2 empty, nums1 empty (m=0), all elements of nums2 smaller than nums1, and duplicates.
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