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Whadduzitdo? (Posted on 2005-01-14) Difficulty: 4 of 5
Given positive, integer N, what does this algorithm produce?
let S and D = N
repeat 
    let D = ⌊D/2⌋
    subtract D from S
until D=0
produce S as the result
Note: ⌊x⌋ represents the integer part of x.

For non-programmers: start with a positive, integer number (say, 19). Divide it by 2, discarding remainders, until you get to 0. (In this case, you'd get 9, 4, 2, and 1.) Sum all the quotients. (9+4+2+1=16.) Subtract the sum from the original number. (19-16=3.) What's the result?

See The Solution Submitted by e.g.    
Rating: 3.7143 (7 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSolutionPraneeth2007-07-31 12:59:13
Some Thoughtsvery good, love the algorithmic view.chris2005-02-26 06:53:51
Some Thoughtsadditionallysjh1822005-01-20 06:53:59
SolutionSolutionLarry2005-01-14 23:42:34
SolutionIndependent SolutionTristan2005-01-14 23:00:39
My thoughts on why the algorihm worksHugo2005-01-14 18:27:09
SolutionRecursive solutionFederico Kereki2005-01-14 17:33:10
SolutionSolutionCharlie2005-01-14 16:44:14
Hints/TipsAn implementation (with results--a Hint--so look only if you want the hint)Charlie2005-01-14 15:16:49
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