What is the time complexity of merging two sorted arrays of sizes m and n?

Practice Questions

Q1
What is the time complexity of merging two sorted arrays of sizes m and n?
  1. O(m + n)
  2. O(m * n)
  3. O(log(m + n))
  4. O(n)

Questions & Step-by-Step Solutions

What is the time complexity of merging two sorted arrays of sizes m and n?
  • Step 1: Understand that we have two sorted arrays. One array has 'm' elements and the other has 'n' elements.
  • Step 2: To merge these two arrays, we need to look at each element in both arrays to combine them into one sorted array.
  • Step 3: Start with the first element of both arrays and compare them.
  • Step 4: Add the smaller element to the new merged array and move to the next element in that array.
  • Step 5: Repeat this process until you have gone through all elements in both arrays.
  • Step 6: Since we look at each element in both arrays exactly once, the total number of operations is 'm + n'.
  • Step 7: Therefore, the time complexity of merging the two sorted arrays is O(m + n).
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