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cs4021_2024T3_Q1_NA.pdf

Advanced Algorithms · Quiz 1 · Sep 2024

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Questions and published explanations below are available without starting a test. Some questions may not have a published solution yet.

Question 75 MCQ · 2.0 marks

What is the treewidth of the following graph? [[IMAGE:6af5692f1e80d82a_2_1]]
Source diagram or notation
  1. 1
  2. 2
  3. 3
  4. 4

A published solution is not available for this question yet.

Question 76 MCQ · 3.0 marks

[[IMAGE:6af5692f1e80d82a_3_2]]
Source diagram or notation
  1. [[IMAGE:6af5692f1e80d82a_3_3]]
    Source diagram or notation
  2. [[IMAGE:6af5692f1e80d82a_3_4]]
    Source diagram or notation
  3. [[IMAGE:6af5692f1e80d82a_3_5]]
    Source diagram or notation
  4. [[IMAGE:6af5692f1e80d82a_3_6]]
    Source diagram or notation

A published solution is not available for this question yet.

Question 77 MCQ · 3.0 marks

Consider the following graph, which is a path on five vertices: [[IMAGE:6af5692f1e80d82a_3_7]]
Source diagram or notation
  1. [[IMAGE:6af5692f1e80d82a_3_8]]
    Source diagram or notation
  2. [[IMAGE:6af5692f1e80d82a_3_9]]
    Source diagram or notation
  3. [[IMAGE:6af5692f1e80d82a_4_10]]
    Source diagram or notation
  4. [[IMAGE:6af5692f1e80d82a_4_11]]
    Source diagram or notation
  5. [[IMAGE:6af5692f1e80d82a_4_12]]
    Source diagram or notation

A published solution is not available for this question yet.

Question 78 MCQ · 4.0 marks

Consider the following instance of Maximum Weight Independent Set problem: [[IMAGE:6af5692f1e80d82a_5_13]]
Source diagram or notation
  1. [[IMAGE:6af5692f1e80d82a_5_14]]
    Source diagram or notation
  2. [[IMAGE:6af5692f1e80d82a_5_15]]
    Source diagram or notation
  3. [[IMAGE:6af5692f1e80d82a_5_16]]
    Source diagram or notation
  4. [[IMAGE:6af5692f1e80d82a_5_17]]
    Source diagram or notation

A published solution is not available for this question yet.

Question 79 MCQ · 2.0 marks

Below are the observed proposals from the traditional male propose-and-reject algorithm. After the algorithm terminates, only B is married to the man she likes the most. Also, it is known that A has the same preferences as B and every man likes C better than A. Reconstruct the complete preference lists of men and women in the given information. [[IMAGE:6af5692f1e80d82a_6_18]] Based on the above data, answer the given subquestions.
What is the preference ordering of man 1?
Source diagram or notation
  1. [[IMAGE:6af5692f1e80d82a_6_19]]
    Source diagram or notation
  2. [[IMAGE:6af5692f1e80d82a_6_20]]
    Source diagram or notation
  3. [[IMAGE:6af5692f1e80d82a_6_21]]
    Source diagram or notation
  4. [[IMAGE:6af5692f1e80d82a_7_22]]
    Source diagram or notation

A published solution is not available for this question yet.

Question 80 MCQ · 2.0 marks

Below are the observed proposals from the traditional male propose-and-reject algorithm. After the algorithm terminates, only B is married to the man she likes the most. Also, it is known that A has the same preferences as B and every man likes C better than A. Reconstruct the complete preference lists of men and women in the given information. [[IMAGE:6af5692f1e80d82a_6_18]] Based on the above data, answer the given subquestions.
What is the preference ordering of man 2?
Source diagram or notation
  1. [[IMAGE:6af5692f1e80d82a_7_23]]
    Source diagram or notation
  2. [[IMAGE:6af5692f1e80d82a_7_24]]
    Source diagram or notation
  3. [[IMAGE:6af5692f1e80d82a_7_25]]
    Source diagram or notation
  4. [[IMAGE:6af5692f1e80d82a_7_26]]
    Source diagram or notation

A published solution is not available for this question yet.

Question 81 MCQ · 2.0 marks

Below are the observed proposals from the traditional male propose-and-reject algorithm. After the algorithm terminates, only B is married to the man she likes the most. Also, it is known that A has the same preferences as B and every man likes C better than A. Reconstruct the complete preference lists of men and women in the given information. [[IMAGE:6af5692f1e80d82a_6_18]] Based on the above data, answer the given subquestions.
What is the preference ordering of man 3?
Source diagram or notation
  1. [[IMAGE:6af5692f1e80d82a_7_27]]
    Source diagram or notation
  2. [[IMAGE:6af5692f1e80d82a_7_28]]
    Source diagram or notation
  3. [[IMAGE:6af5692f1e80d82a_7_29]]
    Source diagram or notation
  4. [[IMAGE:6af5692f1e80d82a_7_30]]
    Source diagram or notation

A published solution is not available for this question yet.

Question 82 MCQ · 2.0 marks

Below are the observed proposals from the traditional male propose-and-reject algorithm. After the algorithm terminates, only B is married to the man she likes the most. Also, it is known that A has the same preferences as B and every man likes C better than A. Reconstruct the complete preference lists of men and women in the given information. [[IMAGE:6af5692f1e80d82a_6_18]] Based on the above data, answer the given subquestions.
What is the preference ordering of man 4?
Source diagram or notation
  1. [[IMAGE:6af5692f1e80d82a_7_31]]
    Source diagram or notation
  2. [[IMAGE:6af5692f1e80d82a_7_32]]
    Source diagram or notation
  3. [[IMAGE:6af5692f1e80d82a_8_33]]
    Source diagram or notation
  4. [[IMAGE:6af5692f1e80d82a_8_34]]
    Source diagram or notation

A published solution is not available for this question yet.

Question 83 MCQ · 2.0 marks

Below are the observed proposals from the traditional male propose-and-reject algorithm. After the algorithm terminates, only B is married to the man she likes the most. Also, it is known that A has the same preferences as B and every man likes C better than A. Reconstruct the complete preference lists of men and women in the given information. [[IMAGE:6af5692f1e80d82a_6_18]] Based on the above data, answer the given subquestions.
What is the preference ordering of woman A?
Source diagram or notation
  1. [[IMAGE:6af5692f1e80d82a_8_35]]
    Source diagram or notation
  2. [[IMAGE:6af5692f1e80d82a_8_36]]
    Source diagram or notation
  3. [[IMAGE:6af5692f1e80d82a_8_37]]
    Source diagram or notation
  4. [[IMAGE:6af5692f1e80d82a_8_38]]
    Source diagram or notation

A published solution is not available for this question yet.

Question 84 MCQ · 2.0 marks

Below are the observed proposals from the traditional male propose-and-reject algorithm. After the algorithm terminates, only B is married to the man she likes the most. Also, it is known that A has the same preferences as B and every man likes C better than A. Reconstruct the complete preference lists of men and women in the given information. [[IMAGE:6af5692f1e80d82a_6_18]] Based on the above data, answer the given subquestions.
What is the preference ordering of woman B?
Source diagram or notation
  1. [[IMAGE:6af5692f1e80d82a_8_39]]
    Source diagram or notation
  2. [[IMAGE:6af5692f1e80d82a_8_40]]
    Source diagram or notation
  3. [[IMAGE:6af5692f1e80d82a_8_41]]
    Source diagram or notation
  4. [[IMAGE:6af5692f1e80d82a_8_42]]
    Source diagram or notation

A published solution is not available for this question yet.

Question 85 MCQ · 2.0 marks

Below are the observed proposals from the traditional male propose-and-reject algorithm. After the algorithm terminates, only B is married to the man she likes the most. Also, it is known that A has the same preferences as B and every man likes C better than A. Reconstruct the complete preference lists of men and women in the given information. [[IMAGE:6af5692f1e80d82a_6_18]] Based on the above data, answer the given subquestions.
What is the preference ordering of woman C?
Source diagram or notation
  1. [[IMAGE:6af5692f1e80d82a_8_43]]
    Source diagram or notation
  2. [[IMAGE:6af5692f1e80d82a_9_44]]
    Source diagram or notation
  3. [[IMAGE:6af5692f1e80d82a_9_45]]
    Source diagram or notation
  4. [[IMAGE:6af5692f1e80d82a_9_46]]
    Source diagram or notation

A published solution is not available for this question yet.

Question 86 MCQ · 2.0 marks

Below are the observed proposals from the traditional male propose-and-reject algorithm. After the algorithm terminates, only B is married to the man she likes the most. Also, it is known that A has the same preferences as B and every man likes C better than A. Reconstruct the complete preference lists of men and women in the given information. [[IMAGE:6af5692f1e80d82a_6_18]] Based on the above data, answer the given subquestions.
What is the preference ordering of woman D?
Source diagram or notation
  1. [[IMAGE:6af5692f1e80d82a_9_47]]
    Source diagram or notation
  2. [[IMAGE:6af5692f1e80d82a_9_48]]
    Source diagram or notation
  3. [[IMAGE:6af5692f1e80d82a_9_49]]
    Source diagram or notation
  4. [[IMAGE:6af5692f1e80d82a_9_50]]
    Source diagram or notation

A published solution is not available for this question yet.

Question 87 MCQ · 2.0 marks

[[IMAGE:6af5692f1e80d82a_9_51]]
[[IMAGE:6af5692f1e80d82a_9_52]]
Source diagram or notationSource diagram or notation
  1. Yes
  2. No

A published solution is not available for this question yet.

Question 88 MCQ · 2.0 marks

[[IMAGE:6af5692f1e80d82a_9_51]]
[[IMAGE:6af5692f1e80d82a_10_53]]
Source diagram or notationSource diagram or notation
  1. Yes
  2. No

A published solution is not available for this question yet.

Question 89 MCQ · 1.0 marks

[[IMAGE:6af5692f1e80d82a_9_51]]
[[IMAGE:6af5692f1e80d82a_10_54]]
Source diagram or notationSource diagram or notation
  1. Yes
  2. No

A published solution is not available for this question yet.

Question 90 MCQ · 1.0 marks

[[IMAGE:6af5692f1e80d82a_10_55]] For each of the statements in the given subquestions, identify whether it is true or false.
[[IMAGE:6af5692f1e80d82a_10_56]]
Source diagram or notationSource diagram or notation
  1. TRUE
  2. FALSE

A published solution is not available for this question yet.

Question 91 MCQ · 1.0 marks

[[IMAGE:6af5692f1e80d82a_10_55]] For each of the statements in the given subquestions, identify whether it is true or false.
[[IMAGE:6af5692f1e80d82a_11_57]]
Source diagram or notationSource diagram or notation
  1. TRUE
  2. FALSE

A published solution is not available for this question yet.

Question 92 MCQ · 1.0 marks

[[IMAGE:6af5692f1e80d82a_10_55]] For each of the statements in the given subquestions, identify whether it is true or false.
[[IMAGE:6af5692f1e80d82a_11_58]]
Source diagram or notationSource diagram or notation
  1. TRUE
  2. FALSE

A published solution is not available for this question yet.

Question 93 MCQ · 1.0 marks

[[IMAGE:6af5692f1e80d82a_10_55]] For each of the statements in the given subquestions, identify whether it is true or false.
[[IMAGE:6af5692f1e80d82a_11_59]]
Source diagram or notationSource diagram or notation
  1. TRUE
  2. FALSE

A published solution is not available for this question yet.

Question 94 MCQ · 1.0 marks

[[IMAGE:6af5692f1e80d82a_10_55]] For each of the statements in the given subquestions, identify whether it is true or false.
[[IMAGE:6af5692f1e80d82a_11_60]]
Source diagram or notationSource diagram or notation
  1. TRUE
  2. FALSE

A published solution is not available for this question yet.

Question 95 MCQ · 1.0 marks

[[IMAGE:6af5692f1e80d82a_10_55]] For each of the statements in the given subquestions, identify whether it is true or false.
[[IMAGE:6af5692f1e80d82a_12_61]]
Source diagram or notationSource diagram or notation
  1. TRUE
  2. FALSE

A published solution is not available for this question yet.

Question 96 MCQ · 1.0 marks

[[IMAGE:6af5692f1e80d82a_10_55]] For each of the statements in the given subquestions, identify whether it is true or false.
[[IMAGE:6af5692f1e80d82a_12_62]]
Source diagram or notationSource diagram or notation
  1. TRUE
  2. FALSE

A published solution is not available for this question yet.

Question 97 MCQ · 1.0 marks

[[IMAGE:6af5692f1e80d82a_10_55]] For each of the statements in the given subquestions, identify whether it is true or false.
[[IMAGE:6af5692f1e80d82a_12_63]]
Source diagram or notationSource diagram or notation
  1. TRUE
  2. FALSE

A published solution is not available for this question yet.

Question 98 MCQ · 1.0 marks

[[IMAGE:6af5692f1e80d82a_10_55]] For each of the statements in the given subquestions, identify whether it is true or false.
[[IMAGE:6af5692f1e80d82a_12_64]]
Source diagram or notationSource diagram or notation
  1. TRUE
  2. FALSE

A published solution is not available for this question yet.

Question 99 NAT · 1.0 marks

[[IMAGE:6af5692f1e80d82a_13_65]] Based on the above data, answer the given subquestions.
What is the minimum number of steps required to produce the integer **1024**?
Source diagram or notation

    A published solution is not available for this question yet.

    Question 100 NAT · 2.0 marks

    [[IMAGE:6af5692f1e80d82a_13_65]] Based on the above data, answer the given subquestions.
    What is the minimum number of steps required to produce the integer **32768**?
    Source diagram or notation

      A published solution is not available for this question yet.

      Question 101 NAT · 2.0 marks

      [[IMAGE:6af5692f1e80d82a_13_65]] Based on the above data, answer the given subquestions.
      What is the minimum number of steps required to produce the integer **189**?
      Source diagram or notation

        A published solution is not available for this question yet.

        Question 102 NAT · 3.0 marks

        [[IMAGE:6af5692f1e80d82a_13_65]] Based on the above data, answer the given subquestions.
        What is the minimum number of steps required to produce the integer **750**?
        Source diagram or notation

          A published solution is not available for this question yet.