Given an 8-element array: A = {x1, x2, X3, X4, X5, X6, 27, x8}, we would like to find its 3rd smallest element. It is known that x₁ and xs are the two extreme elements: max and min, but we do not know which one is the max and which one is the min. It is also known that x4 and 5 are the two medians: left-median and right-median. What is the minimum number of comparisons you need to find the 3rd smallest element of the original array?

Programming Logic & Design Comprehensive
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ISBN:9781337669405
Author:FARRELL
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Chapter6: Arrays
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Given an 8-element array: A = {x1, X2, X3, X4, X5, X6, 7, x8}, we would like to find
its 3rd smallest element. It is known that x₁ and 8 are the two extreme elements:
max and min, but we do not know which one is the max and which one is the min.
It is also known that x4 and x5 are the two medians: left-median and right-median.
What is the minimum number of comparisons you need to find the 3rd smallest
element of the original array?
Ans:
Transcribed Image Text:Given an 8-element array: A = {x1, X2, X3, X4, X5, X6, 7, x8}, we would like to find its 3rd smallest element. It is known that x₁ and 8 are the two extreme elements: max and min, but we do not know which one is the max and which one is the min. It is also known that x4 and x5 are the two medians: left-median and right-median. What is the minimum number of comparisons you need to find the 3rd smallest element of the original array? Ans:
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