Algorithm


Problem Name: 88. Merge Sorted Array

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 1:

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.

Example 2:

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].

Example 3:

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.

Constraints:

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

Code Examples

#1 Code Example with C Programming

Code - C Programming


void merge(int* nums1, int m, int* nums2, int n) {
    int k = m + n - 1;
    m --;
    n --;
    while (n >= 0) {
        while (m >= 0 && nums1[m] > nums2[n]) {
            nums1[k--] = nums1[m--];
        }
        nums1[k--] = nums2[n--];
    }
}
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Input

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

Output

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[1,2,2,3,5,6]

#2 Code Example with C++ Programming

Code - C++ Programming


class Solution {
public:
    void merge(vector<int>& nums1, int m, vector<int>& nums2, int n) {
        for(int i = m - 1, j = n - 1; j >= 0;) nums1[i + j + 1] = (i  <  0 || nums1[i] < nums2[j]) ? nums2[j--] : nums1[i--];
    }
};

// longer.
class Solution {
public:
    void merge(vector<int>& nums1, int m, vector<int>& nums2, int n) {
        int i = m - 1, j = n - 1;
        while(i + j + 1 >= 0){
            nums1[i + j + 1] = i  <  0 ? nums2[j--] : j < 0 ? nums1[i--] : nums1[i] > nums2[j] ? nums1[i--] : nums2[j--];
        }
    }
};

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Input

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

Output

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[1,2,2,3,5,6]

#3 Code Example with Java Programming

Code - Java Programming


class Solution {
  public void merge(int[] nums1, int m, int[] nums2, int n) {
    int endIdxOne = m - 1;
    int endIdxTwo = n - 1;
    int currIdx = m + n - 1;
    while (endIdxOne >= 0 || endIdxTwo >= 0) {
      if (endIdxOne >= 0 && endIdxTwo >= 0) {
        if (nums1[endIdxOne] > nums2[endIdxTwo]) {
          nums1[currIdx--] = nums1[endIdxOne--];
        } else {
          nums1[currIdx--] = nums2[endIdxTwo--];          
        }
      } else if (endIdxOne >= 0 && endIdxTwo  <  0) {
        nums1[currIdx--] = nums1[endIdxOne--];
      } else {
        nums1[currIdx--] = nums2[endIdxTwo--];
      }
    }
  }
}
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Input

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nums1 = [1], m = 1, nums2 = [], n = 0

Output

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[1]

#4 Code Example with Javascript Programming

Code - Javascript Programming


const merge = function(nums1, m, nums2, n) {
  if (nums2.length === 0) return nums1;
  let fi = 0;
  let si = 0;
  for (let i = si; i  <  n; i++) {
    let se = nums2[i];
    while (se >= nums1[fi] && fi  <  m + n && fi < m + i) {
      fi++;
    }
    nums1.splice(fi, 0, se);
    fi++;
  }
  while (nums1.length > m + n) {
    nums1.pop();
  }
};
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Input

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nums1 = [1], m = 1, nums2 = [], n = 0

Output

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[1]

#5 Code Example with Python Programming

Code - Python Programming


class Solution:
    def merge(self, nums1, m, nums2, n):
        """
        :type nums1: List[int]
        :type m: int
        :type nums2: List[int]
        :type n: int
        :rtype: void Do not return anything, modify nums1 in-place instead.
        """
        while m > 0 and n > 0:
            if nums1[m-1] >= nums2[n-1]:
                nums1[m+n-1] = nums1[m-1]
                m -= 1
            else:
                nums1[m+n-1] = nums2[n-1]
                n -= 1
        if n > 0:
            nums1[:n] = nums2[:n]
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Input

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nums1 = [0], m = 0, nums2 = [1], n = 1

Output

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[1]

#6 Code Example with C# Programming

Code - C# Programming


namespace LeetCode
{
    public class _088_MergeSortedArray
    {
        public void Merge(int[] nums1, int m, int[] nums2, int n)
        {
            m--;
            n--;
            for (var i = m + n + 1; i >= 0; i--)
            {
                if (m >= 0 && n >= 0)
                    if (nums1[m] >= nums2[n]) nums1[i] = nums1[m--];
                    else nums1[i] = nums2[n--];
                else if (n >= 0)
                    nums1[i] = nums2[n--];
            }
        }
    }
}
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Input

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nums1 = [0], m = 0, nums2 = [1], n = 1

Output

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[1]
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