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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)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): all the asked-for numbers (spoilers) | Comment 21 of 35 |
(In reply to re: all the asked-for numbers (spoilers) by Charlie)

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!!-+^          (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!-!^           (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!+^              (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!,33*,3!-,3/                (3!*33-3!)/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!^             (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 11:45:10
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