merge sorted arrays

Topic tags :- Array, Two Pointers, Sorting

Question type :- Easy

Question link : Merge Sorted Array

Note : Try yourself before seeing solution here.

Question :

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
 

Follow up: Can you come up with an algorithm that runs in O(m + n) time?

Solutions : in Java

Solution 1:

class Solution {
    public void merge(int[] nums1, int m, int[] nums2, int n) {
        int i;
        if(n!=0){
            for(i=m;i<m+n;i++){
                nums1[i] = nums2[i-m];
            }
        }
        Arrays.sort(nums1);
    }
}

Runtime: 1 ms
Memory Usage: 40.5 MB
Solution link : click here

Solution 2:

class Solution {
    public void merge(int[] nums1, int m, int[] nums2, int n) {
        for(int j=0;j<n;j++){
            nums1[m+j] = nums2[j];
        }
        Arrays.sort(nums1);
    }
}

Runtime: 0 ms
Memory Usage: 39.2 MB
Solution link : click here

Solution 3:

class Solution {
    public void merge(int[] nums1, int m, int[] nums2, int n) {
        int i = n-1,j = m-1,k = m+n-1;
        while(i>-1 && j>-1){
            if(nums1[j]>nums2[i]){
                nums1[k] = nums1[j];
                j--;
            }else{
                nums1[k] = nums2[i];
                i--;
            }
            k--;
        }if(j==-1){
            while(i!=-1){
                nums1[k] = nums2[i];
                i--;
                k--;
            }
        }
    }
}

Runtime: 0 ms
Memory Usage: 39 MB
Solution link : click here

Solution 4:

class Solution {
    public void merge(int[] nums1, int m, int[] nums2, int n) {
        int i = m - 1, j = n - 1, k = m + n - 1;
        
        while (i >= 0 && j >= 0) {
            if (nums1[i] > nums2[j]) {
                nums1[k] = nums1[i];
                i--;
                k--;
            }
            else {
                nums1[k] = nums2[j];
                j--;
                k--;
            }
        }
        
        while (i >= 0) {
            nums1[k] = nums1[i];
            i--;
            k--;
        }
        
        while (j >= 0) {
            nums1[k] = nums2[j];
            j--;
            k--;
        }
    }
    
}

Runtime: 0 ms
Memory Usage: 39 MB
Solution link : click here

Thank you


Post a Comment

0 Comments