can anyone provide the answer for the puzzle below
There are 25 horses,in each race only 5 horses can
participate.how many races are required to select best 5
horses out of 25.
need answer with detailed explanation
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Answer Posted / konstantin
Just got this question during interview.
The only difference was to determine 3 best horses.
The RIGHT answer is 10.
Just abstract your brain from horses and racing track.
This is INSERTION sort algorithm.
You have an array of 25 elements and you need do determine
5 elements that have greater values among others elements.
Divide the array down to 5 non overlapping ranges.
Sort each of those ranges (5 RACES) and as a result you will
have maximum value element for the whole array somewhere
among top value elements of each individual range.
Compare them against each other(+1 RACE). Determine maximal
value element, remove this element and replace it for second
in order for this range.
Perform latest 2 steps for whatever number elements you need.
So, to determine 1 best horse you need 5+1=6 races,
best 2 horses will require 7 races and so on.
Obviously determination of 5 best horses will require
5+5 = 10 races.
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