Question: What is the time complexity of merging two sorted arrays?
Options:
O(n)
O(n log n)
O(log n)
O(n^2)
Correct Answer: O(n)
Solution:
Merging two sorted arrays can be done in linear time, O(n), where n is the total number of elements in both arrays.
What is the time complexity of merging two sorted arrays?
Practice Questions
Q1
What is the time complexity of merging two sorted arrays?
O(n)
O(n log n)
O(log n)
O(n^2)
Questions & Step-by-Step Solutions
What is the time complexity of merging two sorted arrays?
Step 1: Understand that we have two sorted arrays, let's call them Array A and Array B.
Step 2: Count the total number of elements in both arrays. If Array A has 'm' elements and Array B has 'n' elements, the total is m + n.
Step 3: To merge the two arrays, we will compare the smallest elements of both arrays and add the smaller one to a new array.
Step 4: Repeat the comparison and addition process until all elements from both arrays are added to the new array.
Step 5: Since we go through each element of both arrays exactly once, the time taken is proportional to the total number of elements, which is O(m + n).
Step 6: In big O notation, we simplify this to O(n) when n represents the total number of elements in both arrays.
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