To argue that line 10 executes exactly once for each pair { u , v } ∈ P .

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Answer 1

Question

Chapter 21, Problem 3P

(a)

Program Plan Intro

To argue that line 10 executes exactly once for each pair {u,v}∈P .

(b)

Program Plan Intro

To argue that the number of sets in the disjoint-set data structure is equals to the depth of u in T .

(c)

Program Plan Intro

To prove the LCA procedure correctly prints the least common ancestor of u and v for each pair {u,v}∈P .

(d)

Program Plan Intro

To analyzes the running time of LCA procedure for disjoint-set data structure.

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Specifications: Part-1Part-1: DescriptionIn this part of the lab you will build a single operation ALU. This ALU will implement a bitwise left rotation. Forthis lab assignment you are not allowed to use Digital's Arithmetic components.IF YOU ARE FOUND USING THEM, YOU WILL RECEIVE A ZERO FOR LAB2!The ALU you will be implementing consists of two 4-bit inputs (named inA and inB) and one 4-bit output (named out). Your ALU must rotate the bits in inA by the amount given by inB (i.e. 0-15).Part-1: User InterfaceYou are provided an interface file lab2_part1.dig; start Part-1 from this file.NOTE: You are not permitted to edit the content inside the dotted lines rectangle.Part-1: ExampleIn the figure above, the input values that we have selected to test are inA = {inA_3, inA_2, inA_1, inA_0} = {0, 1, 0,0} and inB = {inB_3, inB_2, inB_1, inB_0} = {0, 0, 1, 0}. Therefore, we must rotate the bus 0100 bitwise left by00102, or 2 in base 10, to get {0, 0, 0, 1}. Please note that a rotation left is…

Answer 2

Question

Chapter 21, Problem 3P

(a)

Program Plan Intro

To argue that line 10 executes exactly once for each pair {u,v}∈P .

(b)

Program Plan Intro

To argue that the number of sets in the disjoint-set data structure is equals to the depth of u in T .

(c)

Program Plan Intro

To prove the LCA procedure correctly prints the least common ancestor of u and v for each pair {u,v}∈P .

(d)

Program Plan Intro

To analyzes the running time of LCA procedure for disjoint-set data structure.

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Answer 3

Question

Chapter 21, Problem 3P

(a)

Program Plan Intro

To argue that line 10 executes exactly once for each pair {u,v}∈P .

(b)

Program Plan Intro

To argue that the number of sets in the disjoint-set data structure is equals to the depth of u in T .

(c)

Program Plan Intro

To prove the LCA procedure correctly prints the least common ancestor of u and v for each pair {u,v}∈P .

(d)

Program Plan Intro

To analyzes the running time of LCA procedure for disjoint-set data structure.

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Answer 4

Question

Chapter 21, Problem 3P

(a)

Program Plan Intro

To argue that line 10 executes exactly once for each pair {u,v}∈P .

(b)

Program Plan Intro

To argue that the number of sets in the disjoint-set data structure is equals to the depth of u in T .

(c)

Program Plan Intro

To prove the LCA procedure correctly prints the least common ancestor of u and v for each pair {u,v}∈P .

(d)

Program Plan Intro

To analyzes the running time of LCA procedure for disjoint-set data structure.

Expert Solution & Answer

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Answer 5

Chapter 21, Problem 3P

(a)

Program Plan Intro

To argue that line 10 executes exactly once for each pair {u,v}∈P .

(b)

Program Plan Intro

To argue that the number of sets in the disjoint-set data structure is equals to the depth of u in T .

(c)

Program Plan Intro

To prove the LCA procedure correctly prints the least common ancestor of u and v for each pair {u,v}∈P .

(d)

Program Plan Intro

To analyzes the running time of LCA procedure for disjoint-set data structure.

Answer 6

Chapter 21, Problem 3P

(a)

Program Plan Intro

To argue that line 10 executes exactly once for each pair {u,v}∈P .

Answer 7

Chapter 21, Problem 3P

(a)

Program Plan Intro

To argue that line 10 executes exactly once for each pair {u,v}∈P .

Answer 8

(b)

Program Plan Intro

To argue that the number of sets in the disjoint-set data structure is equals to the depth of u in T .

Answer 9

(b)

Program Plan Intro

To argue that the number of sets in the disjoint-set data structure is equals to the depth of u in T .

Answer 10

(c)

Program Plan Intro

To prove the LCA procedure correctly prints the least common ancestor of u and v for each pair {u,v}∈P .

Answer 11

(c)

Program Plan Intro

To prove the LCA procedure correctly prints the least common ancestor of u and v for each pair {u,v}∈P .

Answer 12

(d)

Program Plan Intro

To analyzes the running time of LCA procedure for disjoint-set data structure.

Answer 13

(d)

Program Plan Intro

To analyzes the running time of LCA procedure for disjoint-set data structure.

Answer 14

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Answer 15

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Answer 16

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Answer 17

Ch. 21.1 - Prob. 1E Ch. 21.1 - Prob. 2E Ch. 21.1 - Prob. 3E Ch. 21.2 - Prob. 1E Ch. 21.2 - Prob. 2E Ch. 21.2 - Prob. 3E Ch. 21.2 - Prob. 4E Ch. 21.2 - Prob. 5E Ch. 21.2 - Prob. 6E Ch. 21.3 - Prob. 1E

To argue that line 10 executes exactly once for each pair { u , v } ∈ P .

To argue that line 10 executes exactly once for each pair {u,v}∈P .

To argue that the number of sets in the disjoint-set data structure is equals to the depth of u in T .

To prove the LCA procedure correctly prints the least common ancestor of u and v for each pair {u,v}∈P .

To analyzes the running time of LCA procedure for disjoint-set data structure.

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Chapter 21 Solutions