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What is the time complexity of merging two sorted binary trees?
What is the time complexity of merging two sorted binary trees?
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Q1
What is the time complexity of merging two sorted binary trees?
O(n)
O(n log n)
O(log n)
O(1)
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Merging two sorted binary trees involves visiting each node, resulting in a time complexity of O(n), where n is the total number of nodes.
Questions & Step-by-step Solutions
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Q: What is the time complexity of merging two sorted binary trees?
Solution:
Merging two sorted binary trees involves visiting each node, resulting in a time complexity of O(n), where n is the total number of nodes.
Steps: 7
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Step 1: Understand that merging two sorted binary trees means combining them into one tree while keeping the order.
Step 2: Realize that to merge the trees, you need to visit each node in both trees.
Step 3: Count the total number of nodes in both trees. Let's say the first tree has 'm' nodes and the second tree has 'n' nodes.
Step 4: The total number of nodes is m + n.
Step 5: Since you need to visit each of these nodes to merge them, the time taken is proportional to the total number of nodes.
Step 6: Therefore, the time complexity for merging the two trees is O(m + n).
Step 7: If we consider 'n' as the total number of nodes in both trees, we can simplify it to O(n).
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