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Given ve distinct values, the median would be the value in the third posi- tion

ID: 3550123 • Letter: G

Question

Given ve distinct values, the median would be the value in the third posi-

tion if they were sorted. Prove that the median can be

found more efciently, namely, with no more than six comparisons.




http://books.google.com/books?id=FUeGDaqjk5oC&pg=PT108&lpg=PT108&dq=Given+%EF%AC%81ve+distinct+values,+the+median+would+be+the+value+in+the+third+position+if+they+were+sorted&source=bl&ots=qBgXGgayAi&sig=MIl5cHNp7W_ojJ5S1EGmQWURsRU&hl=en&sa=X&ei=nGT4Uuy8N43YyAG-1YHgDw&ved=0CCoQ6AEwAA#v=onepage&q=Given%20%EF%AC%81ve%20distinct%20values%2C%20the%20median%20would%20be%20the%20value%20in%20the%20third%20position%20if%20they%20were%20sorted&f=false

Explanation / Answer

// Compare elements in O(log n), means order 2 ^ 6 elements. 64 elements as

if(upper > middle) element, array == array / 2 nd so on..

if(arraysize is zero) return arr[2];


.//hope clerify your doubt.

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