b) Describe an algorithm that decides, given any two binary trees T, and 7,, whether the tree T, equals a subtree of the tree T. Forexample, in the diagram shown below, the top two trees illustrate...


b) Describe an algorithm that decides, given any two binary trees T, and 7,, whether<br>the tree T, equals a subtree of the tree T. Forexample, in the diagram shown below,<br>the top two trees illustrate the scenario where the tree T, is a subtree of the binary<br>tree T,; the bottom two diagrams illustrate the scenario where the tree T, is NOT a<br>subtree of the binary tree 72.<br>10<br>11<br>Tree Ti rooted at 6<br>Tree T2<br>Zhe tree T1 rooted at i ia a subtrea of<br>the binary tree T2 that is rooted at 4.<br>10<br>11<br>1.<br>11<br>Trae TI roatad at 6<br>Tree T2<br>The tree Ti rooted at 6 is a MOT a<br>subtree of the binary tree T2 that is<br>rooted at 4.<br>c) Analyze the running time complexity of the algorithm.<br>d) Describe a o(nlgn)-time algorithm that, given a set s of n integers and another<br>integer x, determínes if there exist two elements in s whose sum is exactly x.<br>

Extracted text: b) Describe an algorithm that decides, given any two binary trees T, and 7,, whether the tree T, equals a subtree of the tree T. Forexample, in the diagram shown below, the top two trees illustrate the scenario where the tree T, is a subtree of the binary tree T,; the bottom two diagrams illustrate the scenario where the tree T, is NOT a subtree of the binary tree 72. 10 11 Tree Ti rooted at 6 Tree T2 Zhe tree T1 rooted at i ia a subtrea of the binary tree T2 that is rooted at 4. 10 11 1. 11 Trae TI roatad at 6 Tree T2 The tree Ti rooted at 6 is a MOT a subtree of the binary tree T2 that is rooted at 4. c) Analyze the running time complexity of the algorithm. d) Describe a o(nlgn)-time algorithm that, given a set s of n integers and another integer x, determínes if there exist two elements in s whose sum is exactly x.

Jun 09, 2022
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