From: tjl@cbnews.cb.att.com (timothy.j.lipetz)
Subject: Solutions for four 4s puzzle (1-100)
Organization: AT&T
Date: Thu, 10 Sep 1992 19:38:13 GMT


As promissed earlier, here are the results of a program
(to be posted soon) to solve the four 4s puzzle.  The
expressions are in postfix format.

Timothy Lipetz
tjl@cbzoo.att.com

------------------------------------------------------

 1 = 4 4 4 4 - + / 
 2 = 4 4 4 4 + + + sqrt sqrt 
 3 = 4 4 4 4 - ^ - 
 4 = 4 4 4 4 + + + sqrt 
 5 = 4 4 4 4 - ^ + 
 6 = 4 4 4 4 + * + sqrt 
 7 = 4 4 4 4 / - + 
 8 = 4 4 4 4 + - - 
 9 = 4 4 4 4 / + + 
 10 = 4 4 4 4 * sqrt ! * + sqrt 
 11 = 4 4 4 _4 / sqrt + + 
 12 = 4 4 4 4 * * sqrt + 
 13 = 4 4 4 sqrt .4 / + + 
 14 = 4 4 4 4 sqrt + + + 
 15 = 4 4 4 -4 ^ sqrt sqrt - * 
 16 = 4 4 4 4 + + + 
 17 = 4 4 4 _4 / + + 
 18 = 4 4 4 .4 / + + 
 19 = 4 4 .4 _4 sqrt - / - 
 20 = 4 4 4 4 + ^ sqrt sqrt + 
 21 = 4 sqrt 4 ! 4 sqrt .4 / - + 
 22 = 4 4 4 sqrt 4 ! - + - 
 23 = 4 4 ! 4 sqrt .4 / - + 
 24 = 4 4 4 4 + + + sqrt ! 
 25 = 4 4 .4 4 ^ / * sqrt 
 26 = 4 4 4 sqrt 4 ! + - - 
 27 = 4 4 _4 sqrt 4 ! ^ sqrt sqrt / sqrt * 
 28 = 4 4 4 4 - + ! + 
 29 = 4 4 .4 4 ^ sqrt / + 
 30 = 4 4 4 sqrt 4 ! - - + 
 31 = 4 4 ! 4 _4 / sqrt + + 
 32 = 4 4 4 4 + ^ sqrt * sqrt 
 33 = 4 4 sqrt .4 -4 ^ sqrt + * 
 34 = 4 4 4 sqrt 4 ! + + + 
 35 = 4 sqrt 4 ! 4 _4 / + + 
 36 = 4 4 4 4 + * + 
 37 = 4 4 ! 4 _4 / + + 
 38 = 4 4 sqrt 4 4 sqrt + ! * + sqrt 
 39 = 4 sqrt 4 ! 4 sqrt _4 / - * 
 40 = 4 4 4 4 sqrt + + * 
 41 = 4 4 .4 -4 ^ sqrt + * 
 42 = 4 4 sqrt 4 ! _4 sqrt / + + 
 43 = 4 sqrt 4 ! .4 -4 ^ sqrt sqrt - * 
 44 = 4 4 4 .4 / * + 
 45 = 4 4 sqrt .4 _4 * / * 
 46 = 4 sqrt 4 4 sqrt 4 ! * - - 
 47 = 4 sqrt 4 sqrt .4 _4 - / - 
 48 = 4 4 4 4 + + * 
 49 = 4 4 sqrt .4 _4 - / - 
 50 = 4 4 .4 4 ^ / sqrt * 
 51 = 4 sqrt 4 ! _4 sqrt _4 / + * 
 52 = 4 4 4 _4 / + * 
 53 = 4 sqrt 4 ! .4 -4 ^ sqrt sqrt + * 
 54 = 4 4 4 ! _4 / - - 
 55 = 4 sqrt 4 ! _4 - _4 / + 
 56 = 4 4 4 .4 / + * 
 57 = 4 sqrt 4 ! 4 sqrt _4 / + * 
 58 = 4 4 ! _4 4 ^ sqrt sqrt / + 
 59 = 4 4 sqrt 4 ! - .4 / - 
 60 = 4 4 4 ! .4 / - - 
 61 = 4 sqrt 4 ! .4 - .4 / + 
 62 = 4 4 4 ! _4 / + + 
 63 = 4 4 ! .4 - .4 / + 
 64 = 4 4 4 4 + + ^ sqrt sqrt 
 65 = 4 4 ! .4 + .4 / + 
 66 = 4 4 sqrt 4 sqrt 4 ! ^ sqrt sqrt - - 
 67 = 4 4 4 ! + _4 / + 
 68 = 4 4 4 4 * * + 
 69 = 4 ! 4 sqrt .4 _4 - / - 
 70 = 4 4 sqrt 4 sqrt 4 ! ^ sqrt sqrt + + 
 71 = 4 4 ! .4 -4 ^ sqrt - * 
 72 = 4 4 4 sqrt 4 ! ^ sqrt sqrt + + 
 73 = 4 _4 / 4 sqrt 4 ! ^ sqrt sqrt + 
 74 = 4 sqrt 4 sqrt 4 ! _4 sqrt / * + 
 75 = 4 ! 4 .4 4 ^ * sqrt / 
 76 = 4 4 sqrt 4 ! _4 sqrt / * + 
 77 = -4 4 ! _4 _4 sqrt * / + 
 78 = 4 4 ! 4 sqrt _4 / - * 
 79 = 4 ! 4 sqrt 4 ! - .4 / - 
 80 = 4 4 4 4 * + * 
 81 = 4 4 _4 4 ^ sqrt / * 
 82 = 4 4 ! 4 ! _4 / + + 
 83 = 4 sqrt 4 ! _4 _4 sqrt * / + 
 84 = 4 4 4 4 ! - * - 
 85 = 4 4 ! _4 _4 sqrt * / + 
 86 = 4 4 ! .4 -4 ^ sqrt sqrt - * 
 87 = 4 4 ! _4 -4 ^ sqrt sqrt - * 
 88 = 4 4 sqrt 4 4 ! - - * 
 89 = 4 ! 4 sqrt 4 ! + .4 / + 
 90 = 4 4 .4 _4 * / * 
 91 = 4 4 ! * 4 sqrt .4 / - 
 92 = 4 4 4 sqrt 4 ! - * - 
 93 = 4 4 ! * 4 _4 / sqrt - 
 94 = 4 4 .4 _4 - / - 
 95 = 4 4 ! 4 -4 ^ sqrt sqrt - * 
 96 = 4 4 4 4 - + ! * 
 97 = 4 4 ! 4 -4 ^ sqrt sqrt + * 
 98 = 4 4 sqrt 4 4 ! * - - 
 99 = 4 sqrt _4 4 ! 4 sqrt - / / 
 100 = 4 4 4 4 * sqrt ! * + 
    

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