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Grant Riordan
Grant Riordan

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C# LeetCode 88: Merge Sorted Array - (Easy)

Problem

You are given two integer arrays nums1 and nums2, sorted in non-decreasing order, and two integers m and n, representing the number of elements in nums1 and nums2 respectively.

Merge nums1 and nums2 into a single array sorted in non-decreasing order.

The final sorted array should not be returned by the function, but instead be stored inside the array nums1. To accommodate this, nums1 has a length of m + n, where the first m elements denote the elements that should be merged, and the last n elements are set to 0 and should be ignored. nums2 has a length of n.

Constraints:

nums1.length == m + n
nums2.length == n
0 <= m, n <= 200
1 <= m + n <= 200
-109 <= nums1[i], nums2[j] <= 109

Example 1:

Input: nums1 = [1,2,3,0,0,0], m = 3, nums2 = [2,5,6], n = 3
Output: [1,2,2,3,5,6]

Approach & Initial Thoughts

So we know the two arrays are in non-decreasing order. This means each element is greater than or equal to the previous one. This allows for duplicate values to appear consecutively. For example, the sequence [1, 2, 2, 5, 8] is non-decreasing because 1 < 2 <= 2 < 5 < 8.

Knowing that nums1 already has allocated space for our numbers, we know we'll need to keep track of 3 things.

  • Last valid element in nums1 (i.e not 0)
  • Last element in nums2
  • Index in nums1 where the merged value needs slotting

We merge backwards to avoid overwriting values in nums1.

  • Compare the elements at nums1[p1] and nums2[p2]
  • Place the larger one at nums1[pMerge]
  • Move the corresponding pointer left
  • Stop once all the nums from nums2 are in place

Code

public void Merge(int[] nums1, int m, int[] nums2, int n)
{
    int p1 = m - 1;
    int p2 = n - 1;
    int pMerge = m + n - 1;

    while (p2 >= 0)
    {
        if (p1 >= 0 && nums1[p1] > nums2[p2])
        {
            nums1[pMerge] = nums1[p1];
            p1--;
        }
        else
        {
            nums1[pMerge] = nums2[p2];
            p2--;
        }

        pMerge--;
    }
}
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