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Game: dropping marbles from a 100-floor tower, given unlimited amount of identical marbles. if marble breaks when dropped from level X -> it breaks from all levels higher than X if marble doesn't break when dropped from level Y -> no marbles will break when dropped from level lower than Y Goal of Game: Find the highest level, from which the marbles doesn't break. Please design a testing plan to minimize the worst-case number-of-tests required to find the answer, with the constraint you can only break max 2 marbles. What is the minimum number of tests required? Explain your testing plan and how you arrived at this number.

Game: dropping marbles from a 100-floor tower, given unlimited amount of identical marbles. if marble breaks when dropped from level X -> it breaks from all levels higher than X if marble doesn't break when dropped from level Y -> no marbles will break when dropped from level lower than Y Goal of Game: Find the highest level, from which the marbles doesn't break. Please design a testing plan to minimize the worst-case number-of-tests required to find the answer, with the constraint you can only break max 2 marbles. What is the minimum number of tests required? Explain your testing plan and how you arrived at this number.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 24T
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Game: dropping marbles from a 100-floor tower, given unlimited amount of identical marbles. if marble breaks when dropped from level X -> it breaks from all levels higher than X if marble doesn't break when dropped from level Y -> no marbles will break when dropped from level lower than Y Goal of Game: Find the highest level, from which the marbles doesn't break. Please design a testing plan to minimize the worst-case number-of-tests required to find the answer, with the constraint you can only break max 2 marbles. What is the minimum number of tests required? Explain your testing plan and how you arrived at this number.
Transcribed Image Text:Game: dropping marbles from a 100-floor tower, given unlimited amount of identical marbles. if marble breaks when dropped from level X -> it breaks from all levels higher than X if marble doesn't break when dropped from level Y -> no marbles will break when dropped from level lower than Y Goal of Game: Find the highest level, from which the marbles doesn't break. Please design a testing plan to minimize the worst-case number-of-tests required to find the answer, with the constraint you can only break max 2 marbles. What is the minimum number of tests required? Explain your testing plan and how you arrived at this number.
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