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> Logic (1)> Probability> Shapes> General (1)
> Numbers> Games> Paradoxes> Riddles
> Just Math> Science> Algorithms (1)
o (1)(a)Devise an algorithm to find the fifth root of N, where N is any positive perfect fifth power.
o (1) (b) How about deriving an algorithm corresponding to the case where N is a positive integer but NOT a perfect fifth power?

o (2) Extend (1) by devising an efficient algorithm to cover the general case where N is any positive real number.
(No Solution Yet, 1 Comments) Submitted on 2022-09-29 by K Sengupta   
Difficulty: 2 of 5 Bonus: Water at 76 C (in Weights and Scales) Rating: 4.00
You only have these three containers, all irregular in their shape (though it doesnt appear in the simplified drawing below), with no marks in them, and all that you know is the capacity of each one.

The 3-liter is empty, the 5-liter is full of 50C water, and the 6-liter is full of 90C water.

                                  |/////|
                      |/////|     |/////|
                      |/////|     |/90/|
          |     |     |/50/|     |/////|
          |     |     |/////|     |/////|
          |     |     |/////|     |/////|
          +-----+     +-----+     +-----+
           3-lit       5-lit       6-lit
With a succession of moves, how do you get some water at 76C? At 75C?

How many different integral temperatures, from 50C to 90C, can you get?
(Solution Posted, 5 Comments) Submitted on 2008-06-17 by pcbouhid   
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