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The five 3īs (Posted on 2008-07-07) Difficulty: 2 of 5
This is a real story. A long long time ago, based on the "Four fours" problem, I wondered if I could do the same using exactly five 3īs, the restrictions a bit tighter: I could use only the 4 basic math operations, exponentiation, factorial, and all parentheses I may need. Besides, I didnīt disallow me to join two "3īs" to make "33".

Using this, and only this, I succeeded in writing expressions for all integers from 0 to 100.

To narrow your work, since a great number of integers can be easily obtained, can you find expressions for 47, 50, 56, 58, 64, 70, 71, 73, 74, 76, 77, 85, 88, 94, and 95?

See The Solution Submitted by pcbouhid    
Rating: 4.5000 (2 votes)

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Solution all the asked-for numbers (spoilers) | Comment 19 of 35 |

Here are all the asked-for numbers, including the 65, 68 and 91 mentioned by Dej Mar.

In all cases x!! should be interpreted as (x!)!

Some 64's may be missing due to trying to get too many on one post, but there are lots of 64's.

(will be needed to be broken into more than 1 post, so as to show all the ways):

3!!,3!,3!*/,3,3^+            3!!/(3!*3!)+3^3                47 
3!!,3!,3+/,33-               3!!/(3!+3)-33                  47
3!!,3!/,3!/,3,3^+            (3!!/3!)/3!+3^3                47
3!!,3!/,3+,3/,3!+            (3!!/3!+3)/3+3!                47
3!!,3,3!+/,33-               3!!/(3+3!)-33                  47
3!!,3,3*/,33-                3!!/(3*3)-33                   47
3!!,3/,3!+,3!/,3!+           (3!!/3+3!)/3!+3!               47
3!!,3/,3/,33-                (3!!/3)/3-33                   47
3!,3!!,3!/,3+,3/+            3!+(3!!/3!+3)/3                47
3!,3!!,3/+,3!/,3!+           (3!+3!!/3)/3!+3!               47
3!,3!!,3/,3!+,3!/+           3!+(3!!/3+3!)/3!               47
3!,3!*,33,3/+                3!*3!+33/3                     47
3!,3!,3!!,3/+,3!/+           3!+(3!+3!!/3)/3!               47
3!,3,3!!,3!/+,3/+            3!+(3+3!!/3!)/3                47
3,3!!,3!/+,3/,3!+            (3+3!!/3!)/3+3!                47
3,3^,3!!,3!,3!*/+            3^3+3!!/(3!*3!)                47
3,3^,3!!,3!/,3!/+            3^3+(3!!/3!)/3!                47
33,3/,3!,3!*+                33/3+3!*3!                     47
3!!,3!!,3!/-,3!,3!+/         (3!!-3!!/3!)/(3!+3!)           50 
3!,3!,3/+!,3!!/,3!-          (3!+3!/3)!/3!!-3!              50
3!,3/,3!+!,3!!/,3!-          (3!/3+3!)!/3!!-3!              50
3!,3/,3^!,3!!/,3!-           (3!/3)^3!/3!!-3!               50
3!!,3!!+,3!!/,3!+!,3!!/      ((3!!+3!!)/3!!+3!)!/3!!        56 
3!!,3!!+,3!!/,3^!,3!!/       ((3!!+3!!)/3!!)^3!/3!!         56
3!!,3!!-!,3+!,3/!,3!!/       (((3!!-3!!)!+3)!/3)!/3!!       56
3!!,3!!/,3+!,3/!,3!!/        ((3!!/3!!+3)!/3)!/3!!          56
3!!,3!,3!*/,3!,3!*+          3!!/(3!*3!)+3!*3!              56
3!!,3!,3^-,3!,3+/            (3!!-3!^3)/(3!+3)              56
3!!,3!,3^-,3,3!+/            (3!!-3!^3)/(3+3!)              56
3!!,3!,3^-,3,3*/             (3!!-3!^3)/(3*3)               56
3!!,3!,3^-,3/,3/             ((3!!-3!^3)/3)/3               56
3!!,3!,3^/,3!+,3!*           (3!!/3!^3+3!)*3!               56
3!!,3!/,3!,3/,3!^-           3!!/3!-(3!/3)^3!               56
3!!,3!/,3!,3^+,3!/           (3!!/3!+3!^3)/3!               56
3!!,3!/,3!/,3!,3!*+          (3!!/3!)/3!+3!*3!              56
3!,3!!,3!!+,3!!/+!,3!!/      (3!+(3!!+3!!)/3!!)!/3!!        56
3!,3!!,3!!-!,3--!,3!!/       (3!-((3!!-3!!)!-3))!/3!!       56
3!,3!!,3!!-!-,3+!,3!!/       (3!-(3!!-3!!)!+3)!/3!!         56
3!,3!!,3!!/,3--!,3!!/        (3!-(3!!/3!!-3))!/3!!          56
3!,3!!,3!!/-,3+!,3!!/        (3!-3!!/3!!+3)!/3!!            56
3!,3!!,3!,3^/+,3!*           (3!+3!!/3!^3)*3!               56
3!,3!!,3!,3^/,3!+*           3!*(3!!/3!^3+3!)               56
3!,3!*,3!!,3!,3!*/+          3!*3!+3!!/(3!*3!)              56
3!,3!*,3!!,3!/,3!/+          3!*3!+(3!!/3!)/3!              56
3!,3!+,3!/,3!+!,3!!/         ((3!+3!)/3!+3!)!/3!!           56
3!,3!+,3!/,3^!,3!!/          ((3!+3!)/3!)^3!/3!!            56
3!,3!+,3/!,3/!,3!!/          (((3!+3!)/3)!/3)!/3!!          56
3!,3!,3!!,3!,3^/+*           3!*(3!+3!!/3!^3)               56
3!,3!,3!+,3!/+!,3!!/         (3!+(3!+3!)/3!)!/3!!           56
3!,3!,3!,3-/+!,3!!/          (3!+3!/(3!-3))!/3!!            56
3!,3!,3!-!,3--!,3!!/         (3!-((3!-3!)!-3))!/3!!         56
3!,3!,3!-!-,3+!,3!!/         (3!-(3!-3!)!+3)!/3!!           56
3!,3!,3!/,3--!,3!!/          (3!-(3!/3!-3))!/3!!            56
3!,3!,3!/-,3+!,3!!/          (3!-3!/3!+3)!/3!!              56
3!,3!,3*+,3/!,3!!/           ((3!+3!*3)/3)!/3!!             56
3!,3!,3+*,3!,3/+             3!*(3!+3)+3!/3                 56
3!,3!,3,3!-/-!,3!!/          (3!-3!/(3-3!))!/3!!            56
3!,3!,3,3^*+,3/              (3!+3!*3^3)/3                  56
3!,3!,3-!,3/+!,3!!/          (3!+(3!-3)!/3)!/3!!            56
3!,3!,3-/,3!+!,3!!/          (3!/(3!-3)+3!)!/3!!            56
3!,3!,3-/,3^!,3!!/           (3!/(3!-3))^3!/3!!             56
3!,3!,3/+!,3!,3-!!/          (3!+3!/3)!/(3!-3)!!            56
3!,3!,3/+!,3,3+!/            (3!+3!/3)!/(3+3)!              56
3!,3!,3/-!,3/!,3!!/          ((3!-3!/3)!/3)!/3!!            56
3!,3!-!,3+!,3/!,3!!/         (((3!-3!)!+3)!/3)!/3!!         56
3!,3!/,3+!,3/!,3!!/          ((3!/3!+3)!/3)!/3!!            56
3!,3*,3!+,3/!,3!!/           ((3!*3+3!)/3)!/3!!             56
3!,3*,3*,3!,3/+              3!*3*3+3!/3                    56
3!,3+!,3!!,3!,3+*/           (3!+3)!/(3!!*(3!+3))           56
3!,3+!,3!!,3*,3*/            (3!+3)!/(3!!*3*3)              56
3!,3+!,3!!,3*/,3/            ((3!+3)!/(3!!*3))/3            56
3!,3+!,3!!,3,3!+*/           (3!+3)!/(3!!*(3+3!))           56
3!,3+!,3!!,3,3**/            (3!+3)!/(3!!*3*3)              56
3!,3+!,3!!/,3!,3+/           ((3!+3)!/3!!)/(3!+3)           56
3!,3+!,3!!/,3,3!+/           ((3!+3)!/3!!)/(3+3!)           56
3!,3+!,3!!/,3,3*/            ((3!+3)!/3!!)/(3*3)            56
3!,3+!,3!!/,3/,3/            (((3!+3)!/3!!)/3)/3            56
3!,3+!,3!,3+,3!!*/           (3!+3)!/((3!+3)*3!!)           56
3!,3+!,3!,3+/,3!!/           ((3!+3)!/(3!+3))/3!!           56
3!,3+!,3,3!!*,3*/            (3!+3)!/(3*3!!*3)              56
3!,3+!,3,3!!*/,3/            ((3!+3)!/(3*3!!))/3            56
3!,3+!,3,3!!,3**/            (3!+3)!/(3*3!!*3)              56
3!,3+!,3,3!+,3!!*/           (3!+3)!/((3+3!)*3!!)           56
3!,3+!,3,3!+/,3!!/           ((3!+3)!/(3+3!))/3!!           56
3!,3+!,3,3*,3!!*/            (3!+3)!/(3*3*3!!)              56
3!,3+!,3,3*/,3!!/            ((3!+3)!/(3*3))/3!!            56
3!,3+!,3,3,3!!**/            (3!+3)!/(3*3*3!!)              56
3!,3+!,3/,3!!,3*/            ((3!+3)!/3)/(3!!*3)            56
3!,3+!,3/,3!!/,3/            (((3!+3)!/3)/3!!)/3            56
3!,3+!,3/,3,3!!*/            ((3!+3)!/3)/(3*3!!)            56
3!,3+!,3/,3/,3!!/            (((3!+3)!/3)/3)/3!!            56
3!,3+,3!!,3!!-!-!,3!!/       (3!+3-(3!!-3!!)!)!/3!!         56
3!,3+,3!!,3!!/-!,3!!/        (3!+3-3!!/3!!)!/3!!            56
3!,3+,3!*,3!,3/+             (3!+3)*3!+3!/3                 56
3!,3+,3!,3!-!-!,3!!/         (3!+3-(3!-3!)!)!/3!!           56
3!,3+,3!,3!/-!,3!!/          (3!+3-3!/3!)!/3!!              56
3!,3+,3,3-!-!,3!!/           (3!+3-(3-3)!)!/3!!             56
3!,3+,3,3/-!,3!!/            (3!+3-3/3)!/3!!                56
3!,3,3!!,3!!-!-+!,3!!/       (3!+3-(3!!-3!!)!)!/3!!         56
3!,3,3!!,3!!/-+!,3!!/        (3!+3-3!!/3!!)!/3!!            56
3!,3,3!*+,3/!,3!!/           ((3!+3*3!)/3)!/3!!             56
3!,3,3!+*,3!,3/+             3!*(3+3!)+3!/3                 56
3!,3,3!,3!-!-+!,3!!/         (3!+3-(3!-3!)!)!/3!!           56
3!,3,3!,3!/-+!,3!!/          (3!+3-3!/3!)!/3!!              56
3!,3,3**,3!,3/+              3!*3*3+3!/3                    56
3!,3,3+,3/+!,3!!/            (3!+(3+3)/3)!/3!!              56
3!,3,3,3-!-+!,3!!/           (3!+3-(3-3)!)!/3!!             56
3!,3,3,3/-+!,3!!/            (3!+3-3/3)!/3!!                56
3!,3,3-!,3--!,3!!/           (3!-((3-3)!-3))!/3!!           56
3!,3,3-!-,3+!,3!!/           (3!-(3-3)!+3)!/3!!             56
3!,3,3/,3--!,3!!/            (3!-(3/3-3))!/3!!              56
3!,3,3/-,3+!,3!!/            (3!-3/3+3)!/3!!                56
3!,3,3^*,3!+,3/              (3!*3^3+3!)/3                  56
3!,3,3^,3!*+,3/              (3!+3^3*3!)/3                  56
3!,3-!,3!,3/+!,3!!/          ((3!-3)!+3!/3)!/3!!            56
3!,3-!,3/,3!+!,3!!/          ((3!-3)!/3+3!)!/3!!            56
3!,3-!,3/,3^!,3!!/           ((3!-3)!/3)^3!/3!!             56
3!,3/,3!+!,3!,3-!!/          (3!/3+3!)!/(3!-3)!!            56
3!,3/,3!+!,3,3+!/            (3!/3+3!)!/(3+3)!              56
3!,3/,3!,3!,3+*+             3!/3+3!*(3!+3)                 56
3!,3/,3!,3*,3*+              3!/3+3!*3*3                    56
3!,3/,3!,3+,3!*+             3!/3+(3!+3)*3!                 56
3!,3/,3!,3,3!+*+             3!/3+3!*(3+3!)                 56
3!,3/,3!,3,3**+              3!/3+3!*3*3                    56
3!,3/,3!,3-!+!,3!!/          (3!/3+(3!-3)!)!/3!!            56
3!,3/,3!,3-^!,3!!/           (3!/3)^(3!-3)!/3!!             56
3!,3/,3+,3+!,3!!/            (3!/3+3+3)!/3!!                56
3!,3/,3,3!*,3*+              3!/3+3*3!*3                    56
3!,3/,3,3!+,3!*+             3!/3+(3+3!)*3!                 56
3!,3/,3,3!,3**+              3!/3+3*3!*3                    56
3!,3/,3,3*,3!*+              3!/3+3*3*3!                    56
3!,3/,3,3++!,3!!/            (3!/3+3+3)!/3!!                56
3!,3/,3,3,3!**+              3!/3+3*3*3!                    56
3!,3/,3^!,3!,3-!!/           (3!/3)^3!/(3!-3)!!             56
3!,3/,3^!,3,3+!/             (3!/3)^3!/(3+3)!               56
3!,3^,3!!,3!/+,3!/           (3!^3+3!!/3!)/3!               56
3!,3^,3,3^/!,3!!/            (3!^3/3^3)!/3!!                56
3,3!!,3!!-!+!,3/!,3!!/       ((3+(3!!-3!!)!)!/3)!/3!!       56
3,3!!,3!!-!,3!--!,3!!/       (3-((3!!-3!!)!-3!))!/3!!       56
3,3!!,3!!-!-,3!+!,3!!/       (3-(3!!-3!!)!+3!)!/3!!         56
3,3!!,3!!-!-,3^!,3!!/        (3-(3!!-3!!)!)^3!/3!!          56
3,3!!,3!!/+!,3/!,3!!/        ((3+3!!/3!!)!/3)!/3!!          56
3,3!!,3!!/,3!--!,3!!/        (3-(3!!/3!!-3!))!/3!!          56
3,3!!,3!!/-,3!+!,3!!/        (3-3!!/3!!+3!)!/3!!            56
3,3!!,3!!/-,3^!,3!!/         (3-3!!/3!!)^3!/3!!             56
3,3!*,3!+,3/!,3!!/           ((3*3!+3!)/3)!/3!!             56
3,3!*,3*,3!,3/+              3*3!*3+3!/3                    56
3,3!+!,3!!,3!,3+*/           (3+3!)!/(3!!*(3!+3))           56
3,3!+!,3!!,3*,3*/            (3+3!)!/(3!!*3*3)              56
3,3!+!,3!!,3*/,3/            ((3+3!)!/(3!!*3))/3            56
3,3!+!,3!!,3,3!+*/           (3+3!)!/(3!!*(3+3!))           56
3,3!+!,3!!,3,3**/            (3+3!)!/(3!!*3*3)              56
3,3!+!,3!!/,3!,3+/           ((3+3!)!/3!!)/(3!+3)           56
3,3!+!,3!!/,3,3!+/           ((3+3!)!/3!!)/(3+3!)           56
3,3!+!,3!!/,3,3*/            ((3+3!)!/3!!)/(3*3)            56
3,3!+!,3!!/,3/,3/            (((3+3!)!/3!!)/3)/3            56
3,3!+!,3!,3+,3!!*/           (3+3!)!/((3!+3)*3!!)           56
3,3!+!,3!,3+/,3!!/           ((3+3!)!/(3!+3))/3!!           56
3,3!+!,3,3!!*,3*/            (3+3!)!/(3*3!!*3)              56
3,3!+!,3,3!!*/,3/            ((3+3!)!/(3*3!!))/3            56
3,3!+!,3,3!!,3**/            (3+3!)!/(3*3!!*3)              56
3,3!+!,3,3!+,3!!*/           (3+3!)!/((3+3!)*3!!)           56
3,3!+!,3,3!+/,3!!/           ((3+3!)!/(3+3!))/3!!           56
3,3!+!,3,3*,3!!*/            (3+3!)!/(3*3*3!!)              56
3,3!+!,3,3*/,3!!/            ((3+3!)!/(3*3))/3!!            56
3,3!+!,3,3,3!!**/            (3+3!)!/(3*3*3!!)              56
3,3!+!,3/,3!!,3*/            ((3+3!)!/3)/(3!!*3)            56
3,3!+!,3/,3!!/,3/            (((3+3!)!/3)/3!!)/3            56
3,3!+!,3/,3,3!!*/            ((3+3!)!/3)/(3*3!!)            56
3,3!+!,3/,3/,3!!/            (((3+3!)!/3)/3)/3!!            56
3,3!+,3!!,3!!-!-!,3!!/       (3+3!-(3!!-3!!)!)!/3!!         56
3,3!+,3!!,3!!/-!,3!!/        (3+3!-3!!/3!!)!/3!!            56
3,3!+,3!*,3!,3/+             (3+3!)*3!+3!/3                 56
3,3!+,3!,3!-!-!,3!!/         (3+3!-(3!-3!)!)!/3!!           56
3,3!+,3!,3!/-!,3!!/          (3+3!-3!/3!)!/3!!              56
3,3!+,3,3-!-!,3!!/           (3+3!-(3-3)!)!/3!!             56
3,3!+,3,3/-!,3!!/            (3+3!-3/3)!/3!!                56
3,3!,3!!,3!!-!-+!,3!!/       (3+3!-(3!!-3!!)!)!/3!!         56
3,3!,3!!,3!!/-+!,3!!/        (3+3!-3!!/3!!)!/3!!            56
3,3!,3!,3!-!-+!,3!!/         (3+3!-(3!-3!)!)!/3!!           56
3,3!,3!,3!/-+!,3!!/          (3+3!-3!/3!)!/3!!              56
3,3!,3!-!+!,3/!,3!!/         ((3+(3!-3!)!)!/3)!/3!!         56
3,3!,3!-!,3!--!,3!!/         (3-((3!-3!)!-3!))!/3!!         56
3,3!,3!-!-,3!+!,3!!/         (3-(3!-3!)!+3!)!/3!!           56
3,3!,3!-!-,3^!,3!!/          (3-(3!-3!)!)^3!/3!!            56
3,3!,3!/+!,3/!,3!!/          ((3+3!/3!)!/3)!/3!!            56
3,3!,3!/,3!--!,3!!/          (3-(3!/3!-3!))!/3!!            56
3,3!,3!/-,3!+!,3!!/          (3-3!/3!+3!)!/3!!              56
3,3!,3!/-,3^!,3!!/           (3-3!/3!)^3!/3!!               56
3,3!,3**,3!,3/+              3*3!*3+3!/3                    56
3,3!,3,3-!-+!,3!!/           (3+3!-(3-3)!)!/3!!             56
3,3!,3,3/-+!,3!!/            (3+3!-3/3)!/3!!                56
3,3!,3/+,3+!,3!!/            (3+3!/3+3)!/3!!                56
3,3!,3/,3++!,3!!/            (3+3!/3+3)!/3!!                56
3,3!/,3,3!-^!,3!!/           (3/3!)^(3-3!)!/3!!             56
3,3*!,3!!,3!,3+*/            (3*3)!/(3!!*(3!+3))            56
3,3*!,3!!,3*,3*/             (3*3)!/(3!!*3*3)               56
3,3*!,3!!,3*/,3/             ((3*3)!/(3!!*3))/3             56
3,3*!,3!!,3,3!+*/            (3*3)!/(3!!*(3+3!))            56
3,3*!,3!!,3,3**/             (3*3)!/(3!!*3*3)               56
3,3*!,3!!/,3!,3+/            ((3*3)!/3!!)/(3!+3)            56
3,3*!,3!!/,3,3!+/            ((3*3)!/3!!)/(3+3!)            56
3,3*!,3!!/,3,3*/             ((3*3)!/3!!)/(3*3)             56
3,3*!,3!!/,3/,3/             (((3*3)!/3!!)/3)/3             56
3,3*!,3!,3+,3!!*/            (3*3)!/((3!+3)*3!!)            56
3,3*!,3!,3+/,3!!/            ((3*3)!/(3!+3))/3!!            56
3,3*!,3,3!!*,3*/             (3*3)!/(3*3!!*3)               56
3,3*!,3,3!!*/,3/             ((3*3)!/(3*3!!))/3             56
3,3*!,3,3!!,3**/             (3*3)!/(3*3!!*3)               56
3,3*!,3,3!+,3!!*/            (3*3)!/((3+3!)*3!!)            56
3,3*!,3,3!+/,3!!/            ((3*3)!/(3+3!))/3!!            56
3,3*!,3,3*,3!!*/             (3*3)!/(3*3*3!!)               56
3,3*!,3,3*/,3!!/             ((3*3)!/(3*3))/3!!             56
3,3*!,3,3,3!!**/             (3*3)!/(3*3*3!!)               56
3,3*!,3/,3!!,3*/             ((3*3)!/3)/(3!!*3)             56
3,3*!,3/,3!!/,3/             (((3*3)!/3)/3!!)/3             56
3,3*!,3/,3,3!!*/             ((3*3)!/3)/(3*3!!)             56
3,3*!,3/,3/,3!!/             (((3*3)!/3)/3)/3!!             56
3,3*,3!!,3!!-!-!,3!!/        (3*3-(3!!-3!!)!)!/3!!          56
3,3*,3!!,3!!/-!,3!!/         (3*3-3!!/3!!)!/3!!             56
3,3*,3!*,3!,3/+              3*3*3!+3!/3                    56
3,3*,3!,3!-!-!,3!!/          (3*3-(3!-3!)!)!/3!!            56
3,3*,3!,3!/-!,3!!/           (3*3-3!/3!)!/3!!               56
3,3*,3,3-!-!,3!!/            (3*3-(3-3)!)!/3!!              56
3,3*,3,3/-!,3!!/             (3*3-3/3)!/3!!                 56
3,3+,3!,3/+!,3!!/            (3+3+3!/3)!/3!!                56
3,3+,3/,3!+!,3!!/            ((3+3)/3+3!)!/3!!              56
3,3+,3/,3^!,3!!/             ((3+3)/3)^3!/3!!               56
3,3,3!**,3!,3/+              3*3*3!+3!/3                    56
3,3,3!,3/++!,3!!/            (3+3+3!/3)!/3!!                56
3,3,3-!+!,3/!,3!!/           ((3+(3-3)!)!/3)!/3!!           56
3,3,3-!,3!--!,3!!/           (3-((3-3)!-3!))!/3!!           56
3,3,3-!-,3!+!,3!!/           (3-(3-3)!+3!)!/3!!             56
3,3,3-!-,3^!,3!!/            (3-(3-3)!)^3!/3!!              56
3,3,3/+!,3/!,3!!/            ((3+3/3)!/3)!/3!!              56
3,3,3/,3!--!,3!!/            (3-(3/3-3!))!/3!!              56
3,3,3/-,3!+!,3!!/            (3-3/3+3!)!/3!!                56
3,3,3/-,3^!,3!!/             (3-3/3)^3!/3!!                 56
3,3-!,3+!,3/!,3!!/           (((3-3)!+3)!/3)!/3!!           56
3,3/,3+!,3/!,3!!/            ((3/3+3)!/3)!/3!!              56
3,333+,3!/                   (3+333)/3!                     56
3,3^,3!*,3!+,3/              (3^3*3!+3!)/3                  56
3,3^,3-,3/!,3!!/             ((3^3-3)/3)!/3!!               56
33,3/,3-!,3!!/               (33/3-3)!/3!!                  56
333,3+,3!/                   (333+3)/3!                     56
3!!,3!!+,3!!/,3!^,3!-        ((3!!+3!!)/3!!)^3!-3!          58 
3!!,3!!-!,3+,3^,3!-          ((3!!-3!!)!+3)^3-3!            58
3!!,3!!/,3+,3^,3!-           (3!!/3!!+3)^3-3!               58
3!!,3!,3!+/,3!,3/-           3!!/(3!+3!)-3!/3               58
3!!,3!,3*/,3!,3*+            3!!/(3!*3)+3!*3                58
3!!,3!,3*/,3,3!*+            3!!/(3!*3)+3*3!                58
3!!,3!/,3/,3!,3*+            (3!!/3!)/3+3!*3                58
3!!,3!/,3/,3,3!*+            (3!!/3!)/3+3*3!                58
3!!,3,3!*/,3!,3*+            3!!/(3*3!)+3!*3                58
3!!,3,3!*/,3,3!*+            3!!/(3*3!)+3*3!                58
3!!,3/,3!/,3!,3*+            (3!!/3)/3!+3!*3                58
3!!,3/,3!/,3,3!*+            (3!!/3)/3!+3*3!                58
3!,3!+,3!/,3!^,3!-           ((3!+3!)/3!)^3!-3!             58
3!,3!+,3/,3^,3!-             ((3!+3!)/3)^3-3!               58
3!,3!,3-/,3!^,3!-            (3!/(3!-3))^3!-3!              58
3!,3!,3/-,3^,3!-             (3!-3!/3)^3-3!                 58
3!,3!-!,3+,3^,3!-            ((3!-3!)!+3)^3-3!              58
3!,3!/,3+,3^,3!-             (3!/3!+3)^3-3!                 58
3!,3!^,3,3!^/,3!-            3!^3!/3^3!-3!                  58
3!,3*,3!!,3!,3*/+            3!*3+3!!/(3!*3)                58
3!,3*,3!!,3!/,3/+            3!*3+(3!!/3!)/3                58
3!,3*,3!!,3,3!*/+            3!*3+3!!/(3*3!)                58
3!,3*,3!!,3/,3!/+            3!*3+(3!!/3)/3!                58
3!,3-!,3/,3!^,3!-            ((3!-3)!/3)^3!-3!              58
3!,3/,3!,3-!^,3!-            (3!/3)^(3!-3)!-3!              58
3!,3/,3!^,3!,3-!-            (3!/3)^3!-(3!-3)!              58
3!,3/,3!^,3,3+-              (3!/3)^3!-(3+3)                58
3!,3/,3!^,3-,3-              (3!/3)^3!-3-3                  58
3!,3/,3,3+^,3!-              (3!/3)^(3+3)-3!                58
3,3!!,3!!-!+,3^,3!-          (3+(3!!-3!!)!)^3-3!            58
3,3!!,3!!-!-,3!^,3!-         (3-(3!!-3!!)!)^3!-3!           58
3,3!!,3!!/+,3^,3!-           (3+3!!/3!!)^3-3!               58
3,3!!,3!!/-,3!^,3!-          (3-3!!/3!!)^3!-3!              58
3,3!*,3!!,3!,3*/+            3*3!+3!!/(3!*3)                58
3,3!*,3!!,3!/,3/+            3*3!+(3!!/3!)/3                58
3,3!*,3!!,3,3!*/+            3*3!+3!!/(3*3!)                58
3,3!*,3!!,3/,3!/+            3*3!+(3!!/3)/3!                58
3,3!,3!-!+,3^,3!-            (3+(3!-3!)!)^3-3!              58
3,3!,3!-!-,3!^,3!-           (3-(3!-3!)!)^3!-3!             58
3,3!,3!/+,3^,3!-             (3+3!/3!)^3-3!                 58
3,3!,3!/-,3!^,3!-            (3-3!/3!)^3!-3!                58
3,3+,3/,3!^,3!-              ((3+3)/3)^3!-3!                58
3,3,3-!+,3^,3!-              (3+(3-3)!)^3-3!                58
3,3,3-!-,3!^,3!-             (3-(3-3)!)^3!-3!               58
3,3,3/+,3^,3!-               (3+3/3)^3-3!                   58
3,3,3/-,3!^,3!-              (3-3/3)^3!-3!                  58
3,3-!,3+,3^,3!-              ((3-3)!+3)^3-3!                58
3,3/,3+,3^,3!-               (3/3+3)^3-3!                   58
3!!,3!!+,3!!/,3!,3-!^        ((3!!+3!!)/3!!)^(3!-3)!        64 
3!!,3!!+,3!!/,3,3+^          ((3!!+3!!)/3!!)^(3+3)          64
3!!,3!!+,3!,3-!!/,3!^        ((3!!+3!!)/(3!-3)!!)^3!        64
3!!,3!!+,3!^,3!!,3!^/        (3!!+3!!)^3!/3!!^3!            64
3!!,3!!+,3,3+!/,3!^          ((3!!+3!!)/(3+3)!)^3!          64
3!!,3!!,3!!-*!,3+,3^         ((3!!*(3!!-3!!))!+3)^3         64
3!!,3!!,3!!-^,3+,3^          (3!!^(3!!-3!!)+3)^3            64
3!!,3!!,3!,3/,3!^--          3!!-(3!!-(3!/3)^3!)            64
3!!,3!!,3!,3/,3!^//          3!!/(3!!/(3!/3)^3!)            64
3!!,3!!,3!,3/--,3!^          (3!!-(3!!-3!/3))^3!            64
3!!,3!!,3!,3///,3!^          (3!!/(3!!/(3!/3)))^3!          64
3!!,3!!,3!--,3/,3!^          ((3!!-(3!!-3!))/3)^3!          64
3!!,3!!,3!/,3*/,3!^          (3!!/((3!!/3!)*3))^3!          64
3!!,3!!,3!//,3/,3!^          ((3!!/(3!!/3!))/3)^3!          64
3!!,3!!,3*+,3!!/,3^          ((3!!+3!!*3)/3!!)^3            64
3!!,3!!,3*,3!//,3!^          (3!!/(3!!*3/3!))^3!            64
3!!,3!!,3*/,3!*,3!^          ((3!!/(3!!*3))*3!)^3!          64
3!!,3!!,3,3!/*/,3!^          (3!!/(3!!*3/3!))^3!            64
3!!,3!!,3,3!/,3!^*/          3!!/(3!!*(3/3!)^3!)            64
3!!,3!!,3--!,3/,3!^          ((3!!-(3!!-3))!/3)^3!          64
3!!,3!!,3//!,3/,3!^          ((3!!/(3!!/3))!/3)^3!          64
3!!,3!!-!,3!!,3!!-!+,3!^     ((3!!-3!!)!+(3!!-3!!)!)^3!     64
3!!,3!!-!,3!!,3!!/+,3!^      ((3!!-3!!)!+3!!/3!!)^3!        64
3!!,3!!-!,3!!^,3+,3^         ((3!!-3!!)!^3!!+3)^3           64
3!!,3!!-!,3!*,3/,3!^         ((3!!-3!!)!*3!/3)^3!           64
3!!,3!!-!,3!+,3-,3^          ((3!!-3!!)!+3!-3)^3            64
3!!,3!!-!,3!,3!-!+,3!^       ((3!!-3!!)!+(3!-3!)!)^3!       64
3!!,3!!-!,3!,3!/+,3!^        ((3!!-3!!)!+3!/3!)^3!          64
3!!,3!!-!,3!,3-+,3^          ((3!!-3!!)!+3!-3)^3            64
3!!,3!!-!,3!,3/*,3!^         ((3!!-3!!)!*3!/3)^3!           64
3!!,3!!-!,3!,3/,3!^*         (3!!-3!!)!*(3!/3)^3!           64
3!!,3!!-!,3!^,3+,3^          ((3!!-3!!)!^3!+3)^3            64
3!!,3!!-!,3*!,3/,3!^         (((3!!-3!!)!*3)!/3)^3!         64
3!!,3!!-!,3+!,3!/,3^         (((3!!-3!!)!+3)!/3!)^3         64
3!!,3!!-!,3+,3!,3-^          ((3!!-3!!)!+3)^(3!-3)          64
3!!,3!!-!,3,3!--,3^          ((3!!-3!!)!-(3-3!))^3          64
3!!,3!!-!,3,3!/,3!^/         (3!!-3!!)!/(3/3!)^3!           64
3!!,3!!-!,3,3!//,3!^         ((3!!-3!!)!/(3/3!))^3!         64
3!!,3!!-!,3,3-!+,3!^         ((3!!-3!!)!+(3-3)!)^3!         64
3!!,3!!-!,3,3/+,3!^          ((3!!-3!!)!+3/3)^3!            64
3!!,3!!-!,3-,3!+,3^          ((3!!-3!!)!-3+3!)^3            64
3!!,3!!-!,3/,3!*,3!^         (((3!!-3!!)!/3)*3!)^3!         64
3!!,3!!-!,3^,3+,3^           ((3!!-3!!)!^3+3)^3             64
3!!,3!!-,3!!*!,3+,3^         (((3!!-3!!)*3!!)!+3)^3         64
3!!,3!!-,3!!/!,3+,3^         (((3!!-3!!)/3!!)!+3)^3         64
3!!,3!!-,3!*!,3+,3^          (((3!!-3!!)*3!)!+3)^3          64
3!!,3!!-,3!+,3/,3!^          ((3!!-3!!+3!)/3)^3!            64
3!!,3!!-,3!,3/+,3!^          (3!!-3!!+3!/3)^3!              64
3!!,3!!-,3!,3/,3!^+          3!!-3!!+(3!/3)^3!              64
3!!,3!!-,3!/!,3+,3^          (((3!!-3!!)/3!)!+3)^3          64
3!!,3!!-,3*!,3+,3^           (((3!!-3!!)*3)!+3)^3           64
3!!,3!!-,3+!,3/,3!^          ((3!!-3!!+3)!/3)^3!            64
3!!,3!!-,3/!,3+,3^           (((3!!-3!!)/3)!+3)^3           64
3!!,3!!/,3!!,3!!-!+,3!^      (3!!/3!!+(3!!-3!!)!)^3!        64
3!!,3!!/,3!!,3!!/+,3!^       (3!!/3!!+3!!/3!!)^3!           64
3!!,3!!/,3!!^,3+,3^          ((3!!/3!!)^3!!+3)^3            64
3!!,3!!/,3!*,3/,3!^          ((3!!/3!!)*3!/3)^3!            64
3!!,3!!/,3!+,3-,3^           (3!!/3!!+3!-3)^3               64
3!!,3!!/,3!,3!-!+,3!^        (3!!/3!!+(3!-3!)!)^3!          64
3!!,3!!/,3!,3!/+,3!^         (3!!/3!!+3!/3!)^3!             64
3!!,3!!/,3!,3-+,3^           (3!!/3!!+3!-3)^3               64
3!!,3!!/,3!,3/*,3!^          ((3!!/3!!)*3!/3)^3!            64
3!!,3!!/,3!,3/,3!^*          (3!!/3!!)*(3!/3)^3!            64
3!!,3!!/,3!^,3+,3^           ((3!!/3!!)^3!+3)^3             64
3!!,3!!/,3*!,3/,3!^          (((3!!/3!!)*3)!/3)^3!          64
3!!,3!!/,3+!,3!/,3^          ((3!!/3!!+3)!/3!)^3            64
3!!,3!!/,3+,3!,3-^           (3!!/3!!+3)^(3!-3)             64
3!!,3!!/,3,3!--,3^           (3!!/3!!-(3-3!))^3             64
3!!,3!!/,3,3!/,3!^/          (3!!/3!!)/(3/3!)^3!            64
3!!,3!!/,3,3!//,3!^          ((3!!/3!!)/(3/3!))^3!          64
3!!,3!!/,3,3-!+,3!^          (3!!/3!!+(3-3)!)^3!            64
3!!,3!!/,3,3/+,3!^     
  Posted by Charlie on 2008-07-08 11:41:52
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