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Random Number Generator (Posted on 2004-06-08) Difficulty: 3 of 5
A particular random number generator returns positive integer n with probability 1/(2^n). (ie '1' with probability 1/2, '2' with probability 1/4, '3' with probability 1/8, etc.)

Using this random number generator, write an algorithm which chooses a random integer from 1 to 37 with equal probability.

See The Solution Submitted by Brian Smith    
Rating: 2.0000 (1 votes)

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re(5): solution | Comment 18 of 26 |
(In reply to re(4): solution - Charlie? by Thalamus)

When expanded to an ideal case, your algorithm approaches (log 37)/(log 2) = 5.21 calls per random number generated.  My algorithm uses 4.378 calls per random number generated.
  Posted by Brian Smith on 2004-06-16 08:48:29

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