From: tjl@cbnews.cb.att.com (timothy.j.lipetz)
Subject: Solutions to four 9s puzzle (1-100)
Organization: AT&T
Date: Thu, 10 Sep 1992 19:40:09 GMT

 
As promissed earlier, here are the results of a program
(to be posted soon) to solve the four 9s puzzle.  The
expressions are in postfix format.
  
Timothy Lipetz
tjl@cbzoo.att.com
   
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 1 = 9 9 9 9 - + / 
 2 = 9 9 9 sqrt 9 sqrt ! / * / 
 3 = 9 9 9 9 + / ^ 
 4 = 9 9 9 sqrt _9 + - - 
 5 = 9 9 9 sqrt ! _9 + + + sqrt 
 6 = 9 9 9 9 + + + sqrt 
 7 = 9 9 9 sqrt ! _9 + + sqrt sqrt - 
 8 = 9 9 9 9 - ^ - 
 9 = 9 9 9 9 - + * sqrt 
 10 = 9 9 9 9 - ^ + 
 11 = 9 9 9 sqrt ! _9 + + sqrt sqrt + 
 12 = 9 9 9 9 - + sqrt + 
 13 = 9 9 9 sqrt ! _9 + + sqrt + 
 14 = 9 9 9 sqrt _9 + - + 
 15 = 9 9 9 9 - + sqrt ! + 
 16 = 9 9 9 sqrt _9 + sqrt - + 
 17 = 9 9 9 9 / - + 
 18 = 9 9 9 9 + - - 
 19 = 9 9 9 9 / + + 
 20 = 9 9 9 sqrt _9 + sqrt + + 
 21 = 9 9 9 9 * sqrt sqrt + + 
 22 = 9 9 9 sqrt _9 + + + 
 23 = 9 9 9 sqrt ! _9 - + + 
 24 = 9 9 9 9 * sqrt sqrt ! + + 
 25 = 9 9 9 sqrt ! _9 + + + 
 26 = 9 9 9 _9 - + + 
 27 = 9 9 9 9 - + sqrt * 
 28 = 9 9 9 .9 / + + 
 29 = 9 9 sqrt 9 sqrt ! .9 / * + 
 30 = 9 9 9 9 sqrt + + + 
 31 = 9 sqrt _9 9 9 sqrt * + + 
 32 = 9 _9 9 sqrt _9 + ! - - 
 33 = 9 9 9 9 sqrt ! + + + 
 34 = 9 _9 9 sqrt _9 + ! + + 
 35 = 9 _9 9 9 sqrt * - - 
 36 = 9 9 9 9 + + + 
 37 = 9 9 sqrt _9 .9 / + * 
 38 = 9 sqrt 9 sqrt ! 9 sqrt ! .9 / + * 
 39 = 9 9 9 sqrt .9 / * + 
 40 = 9 .9 9 sqrt _9 + / / 
 41 = 9 sqrt ! _9 9 sqrt ! 9 sqrt ! * - - 
 42 = 9 9 9 sqrt _9 + ! + + 
 43 = 9 sqrt 9 sqrt ! 9 sqrt ! .9 / * + 
 44 = 9 9 sqrt ! _9 .9 / - * 
 45 = 9 9 9 9 sqrt * + + 
 46 = 9 _9 9 sqrt ! 9 sqrt ! * + + 
 47 = 9 sqrt 9 9 sqrt ! .9 / + * 
 48 = 9 9 sqrt 9 sqrt ! 9 sqrt ! * + + 
 49 = 9 9 sqrt ! 9 sqrt ! .9 / * + 
 50 = 9 .9 9 sqrt ! _9 - / / 
 51 = 9 9 9 sqrt .9 / - * 
 52 = 9 sqrt ! 9 9 sqrt 9 / - * 
 53 = 9 9 sqrt ! _9 9 / - * 
 54 = 9 9 9 9 - + sqrt ! * 
 55 = 9 9 sqrt ! _9 9 / + * 
 56 = 9 sqrt _9 9 9 sqrt ! * - - 
 57 = 9 9 sqrt 9 sqrt .9 / + * 
 58 = 9 sqrt _9 9 9 sqrt ! * + + 
 59 = 9 sqrt ! _9 9 9 sqrt ! * - - 
 60 = 9 9 sqrt 9 9 sqrt ! * - - 
 61 = 9 sqrt ! _9 9 9 sqrt ! * + + 
 62 = 9 _9 9 9 sqrt ! * - - 
 63 = 9 9 9 9 * sqrt sqrt ! * + 
 64 = 9 9 sqrt ! _9 .9 / + * 
 65 = _9 9 sqrt _9 + 9 sqrt ^ + 
 66 = 9 9 sqrt 9 9 sqrt ! * + + 
 67 = 9 9 ! 9 9 * / + sqrt 
 68 = _9 9 sqrt ! _9 + ! + sqrt 9 sqrt - 
 69 = 9 9 9 sqrt ! .9 / * + 
 70 = 9 9 ! 9 sqrt ! 9 sqrt ! ^ / * 
 71 = 9 9 _9 .9 / - * 
 72 = 9 9 9 9 / - * 
 73 = _9 9 9 9 * - - 
 74 = 9 sqrt _9 9 sqrt ! _9 + ! + sqrt + 
 75 = 9 9 9 sqrt ! 9 / - * 
 76 = 9 sqrt ! 9 sqrt ! 9 sqrt ! .9 / + * 
 77 = 9 sqrt ! _9 9 sqrt ! _9 + ! + sqrt + 
 78 = 9 9 9 sqrt 9 / - * 
 79 = _9 9 sqrt 9 9 * - - 
 80 = 9 9 _9 9 / - * 
 81 = 9 9 9 9 - + * 
 82 = 9 9 _9 9 / + * 
 83 = 9 sqrt _9 9 9 * - - 
 84 = 9 9 9 sqrt 9 / + * 
 85 = 9 sqrt _9 9 9 * + + 
 86 = 9 sqrt ! _9 9 9 * - - 
 87 = 9 9 9 sqrt ! 9 / + * 
 88 = 9 sqrt ! _9 9 9 * + + 
 89 = 9 _9 9 9 * - - 
 90 = 9 9 9 9 * sqrt * + 
 91 = 9 9 _9 .9 / + * 
 92 = 99 9 sqrt ! _9 + - 
 93 = 9 9 sqrt 9 9 * + + 
 94 = 9 sqrt ! 9 9 sqrt ! .9 / + * 
 95 = 99 9 sqrt _9 + - 
 96 = 9 9 sqrt ! 9 9 * + + 
 97 = _9 9 sqrt 99 - - 
 98 = _9 99 _9 - * 
 99 = 9 9 9 9 * + + 
 100 = 9 9 .9 .9 * / *