Describe an algorithm that decides, given any two binary trees T, and T,, whether the tree 7, equals a subtree of the tree T,. For example, in the diagram shown below, the top two trees illustrate the scenario where the tree 7, is a subtree of the binary tree T; the bottom two diagrams illustrate the scenario where the tree 7, is NOT a subtree of the binary tree T. 10 Tree I rooted at 6 Tree 12 The seee T rootes a ia re of the biary tree 1i that ie rooted at 10 Tree Ti rooted at 6 Tree T The tree T rooted at iea NOT subtree of the binary tree 72 that i Footed at 4. Analyze the running time complexity of the algorkhm.

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Describe an algorithm that decides, given any two binary trees T, and T,, 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 7, is NOT a
subtree of the binary tree T,.
Tree TI rooted at 6
Tree 12
The tree T1 rooted at ia a aubtree of
the binary tree T2 that ie rooted at 4.
Tree TI rooted at 6
Tree T2
The tree TI rooted at 6 is a NOT a
subtree of the binary tree T2 that is
rooted at 4.
Analyze the running time complexity of the algorithm.
Describe a e(nlgn)-time algorithm that, given a set s of n integers and another
integer x, determines if there exist two elements in S whose sum is exactly x.
Transcribed Image Text:Describe an algorithm that decides, given any two binary trees T, and T,, 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 7, is NOT a subtree of the binary tree T,. Tree TI rooted at 6 Tree 12 The tree T1 rooted at ia a aubtree of the binary tree T2 that ie rooted at 4. Tree TI rooted at 6 Tree T2 The tree TI rooted at 6 is a NOT a subtree of the binary tree T2 that is rooted at 4. Analyze the running time complexity of the algorithm. Describe a e(nlgn)-time algorithm that, given a set s of n integers and another integer x, determines if there exist two elements in S whose sum is exactly x.
Determine the big theta running time of the method myMethod() by counting the
approximate number of operations it performs. Show all details of your answer
static int dolt(int n) {
count + 0
j+1
while j < (n x n) {
count e count + 1
j+jx2
}
return count
static int myMethod (int n) {
i +1
while (i < n){
dolt(i)
ieix2
}
return 1;
Transcribed Image Text:Determine the big theta running time of the method myMethod() by counting the approximate number of operations it performs. Show all details of your answer static int dolt(int n) { count + 0 j+1 while j < (n x n) { count e count + 1 j+jx2 } return count static int myMethod (int n) { i +1 while (i < n){ dolt(i) ieix2 } return 1;
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