Given two sorted arrays arr1[] and arr2[] of sizes n and m in non-decreasing order. Merge them in sorted order without using any extra space. Modify arr1 so that it contains the first N elements and modify arr2 so that it contains the last M elements.
Question
Given two sorted arrays arr1[] and arr2[] of sizes n and m in non-decreasing order. Merge them in sorted order without using any extra space. Modify arr1 so that it contains the first N elements and modify arr2 so that it contains the last M elements.
Solution
To merge two sorted arrays arr1[] and arr2[] without using any extra space, we can follow the steps below:
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Initialize three variables: i, j, and k.
- i will be used to iterate through arr1[] from the beginning.
- j will be used to iterate through arr2[] from the beginning.
- k will be used to iterate through arr1[] from the end.
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Start a while loop with the condition i < n and j < m. This loop will continue until we reach the end of either arr1[] or arr2[].
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Inside the loop, compare the current elements of arr1[i] and arr2[j].
- If arr1[i] is smaller or equal to arr2[j], then no swapping is required. Increment i by 1.
- If arr1[i] is greater than arr2[j], then swap arr1[i] with arr2[j]. Increment i by 1 and decrement k by 1.
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After the while loop ends, we will have merged the elements of arr1[] and arr2[] in sorted order. However, arr1[] will contain some extra elements at the end.
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To modify arr1[] to contain only the first N elements, we can use a for loop starting from k+1 and ending at n-1. Set all the elements in this range to a large value or any value greater than the maximum element in arr1[].
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To modify arr2[] to contain only the last M elements, we can use a for loop starting from j and ending at m-1. Set all the elements in this range to their correct values by shifting them to the beginning of arr2[].
By following these steps, we can merge the two sorted arrays arr1[] and arr2[] in sorted order without using any extra space.
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