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No Cigar (Posted on 2006-12-19) Difficulty: 2 of 5
Your goal is to use the ten digits (including zero) to get as close to 1 as you can without actually getting 1.

You may use +, -, *, and /. You may combine two numbers like 4 and 7 to get 47. You may use fraction bars. You may use the numbers as powers. You may use decimals. You may use square roots, but you may only use three of them (Otherwise, you could have a near-infinite number of square roots, and the result would approach 1). You may use as many other roots as you wish, as long as you're counting the digit (i.e. if you use a cube root, that counts as your use of the digit 3). You may put a bar over part of a decimal to make it repeating. You may use a factorial, but only one.

You may not round. You may not use floor or ceiling functions. You may not use any digit more than once. You must use each digit. You may not use e, pi, etc.

Examples:

72   3   4   0
-- - - + - - - = 1.188888... (off by .1888...)
81   6   5   9

would not be as good as

57.3*4096
--------- = 0.8953125 (off by .1046875)
  (2^18)

  Submitted by Dustin    
No Rating
Solution: (Hide)
OOO provided the closest we could come up with:

1 - 0.2^((3^(4^(5^(6^(7^(8^(9)))))))!)

which is off by 10^-(10^(10^(10^(10^(10^(10^(10^(8.1))))))))

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solutionre: Contraversial means.Dej Mar2012-01-27 23:47:06
Contraversial means.George2006-12-19 23:11:40
Hints/TipsOOO wins so farJer2006-12-19 12:31:05
Some Thoughtsre(2): Closer still? Even better thanks to OOOSteve Herman2006-12-19 12:14:52
Solutionre: Closer still? Even better thanks to OOOJer2006-12-19 11:51:16
Solutionre: Closer still? Even better thanks to OOOJer2006-12-19 11:51:10
Some ThoughtsCloser still?Jer2006-12-19 11:43:33
SolutionMuch, much, much closerOld Original Oskar!2006-12-19 07:51:50
Another tryPenny2006-12-19 07:47:41
A tryJoe2006-12-19 06:46:18
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