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Closest to pi (Posted on 2005-09-25) Difficulty: 2 of 5
As you know, the value of pi with some decimals is 3.141592653589...

Write an expression using all digits (0-9) once each, to achieve the closest value to pi. The digits must be in the order 1, 2, 3, 4, ...8, 9, 0. You may also use as many parentheses, +, -, /, and *, as you wish, but only these symbols.

As an example: 123/45 - 6/7 + 8/9 + 0 = 2.765079... gives a difference of approximately 0.376.

You may post the difference or the approximation you achieve in the subject of your comment.

See The Solution Submitted by pcbouhid    
Rating: 3.0000 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Question re: this one beats them all : less than 10^-9 | Comment 18 of 25 |
(In reply to this one beats them all : less than 10^-9 by Ady TZIDON)

the computer checked only for digits in normal order 1,2,3 ...0.
How about checking for any sequence trying to achieve even better approximation, pandigital but not sequential...

It will probably require 9*9! times more runtime,
but iut is a serious challenge since the approximation I have posted was known in pre-computer time..

Go, pick up the glove, it is worth it...

ady
  Posted by Ady TZIDON on 2005-09-28 13:39:22

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