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.
Example:
Input: nums1 = [1,2,3,0,0,0], m = 3, nums2 = [2,5,6], n = 3 Output: [1,2,2,3,5,6] Explanation: The arrays we are merging are [1,2,3] and [2,5,6]. The result of the merge is [1,2,2,3,5,6] with the underlined elements coming from nums1.
Input: nums1 = [1], m = 1, nums2 = [], n = 0 Output: [1] Explanation: The arrays we are merging are [1] and []. The result of the merge is [1].
Input: nums1 = [0], m = 0, nums2 = [1], n = 1 Output: [1] Explanation: The arrays we are merging are [] and [1]. The result of the merge is [1]. Note that because m = 0, there are no elements in nums1. The 0 is only there to ensure the merge result can fit in nums1.
Approach: It's an simple implementatio problem. You can directly go to implementation to understand the approach.
Implementation in C#:
public void Merge(int[] nums1, int m, int[] nums2, int n)
{
int writeIndex = m + n - 1;
int num1Index = m - 1;
int num2Index = n - 1;
while(num1Index >= 0 && num2Index >= 0)
{
if (nums1[num1Index] > nums2[num2Index])
{
nums1[writeIndex--] = nums1[num1Index--];
}
else
{
nums1[writeIndex--] = nums2[num2Index--];
}
}
while (num2Index >= 0)
{
nums1[writeIndex--] = nums2[num2Index--];
}
}
Complexity: O(m + n)
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