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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.)
Solution re: all the asked-for numbers (spoilers) | Comment 20 of 35 |
(In reply to 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!,3!/,3+!,3!/,3^            ((3!/3!+3)!/3!)^3              64
3!,3!/,3+,3!,3-^             (3!/3!+3)^(3!-3)               64
3!,3!/,3,3!--,3^             (3!/3!-(3-3!))^3               64
3!,3!/,3,3!/,3!^/            (3!/3!)/(3/3!)^3!              64
3!,3!/,3,3!//,3!^            ((3!/3!)/(3/3!))^3!            64
3!,3!/,3,3-!+,3!^            (3!/3!+(3-3)!)^3!              64
3!,3!/,3,3/+,3!^             (3!/3!+3/3)^3!                 64
3!,3!/,3-,3!+,3^             (3!/3!-3+3!)^3                 64
3!,3!/,3/,3!*,3!^            (((3!/3!)/3)*3!)^3!            64
3!,3!/,3^,3+,3^              ((3!/3!)^3+3)^3                64
3!,3!^,3!!,3!+,3+/           3!^3!/(3!!+3!+3)               64
3!,3!^,3!!,3!,3++/           3!^3!/(3!!+3!+3)               64
3!,3!^,3!!,3+,3!+/           3!^3!/(3!!+3+3!)               64
3!,3!^,3!!,3,3!++/           3!^3!/(3!!+3+3!)               64
3!,3!^,3!!,3,3*+/            3!^3!/(3!!+3*3)                64
3!,3!^,3!,3!!+,3+/           3!^3!/(3!+3!!+3)               64
3!,3!^,3!,3!!,3++/           3!^3!/(3!+3!!+3)               64
3!,3!^,3!,3+,3!!+/           3!^3!/(3!+3+3!!)               64
3!,3!^,3!,3+,3^/             3!^3!/(3!+3)^3                 64
3!,3!^,3!,3,3!!++/           3!^3!/(3!+3+3!!)               64
3!,3!^,3!,3-,3!^/            3!^3!/(3!-3)^3!                64
3!,3!^,3,3!!+,3!+/           3!^3!/(3+3!!+3!)               64
3!,3!^,3,3!!,3!++/           3!^3!/(3+3!!+3!)               64
3!,3!^,3,3!+,3!!+/           3!^3!/(3+3!+3!!)               64
3!,3!^,3,3!+,3^/             3!^3!/(3+3!)^3                 64
3!,3!^,3,3!,3!!++/           3!^3!/(3+3!+3!!)               64
3!,3!^,3,3!,3-!^/            3!^3!/3^(3!-3)!                64
3!,3!^,3,3*,3!!+/            3!^3!/(3*3+3!!)                64
3!,3!^,3,3*,3^/              3!^3!/(3*3)^3                  64
3!,3!^,3,3,3+^/              3!^3!/3^(3+3)                  64
3!,3*,3!+,3!/,3^             ((3!*3+3!)/3!)^3               64
3!,3*,3!,3+/,3!^             (3!*3/(3!+3))^3!               64
3!,3*,3!-,3!/,3!^            ((3!*3-3!)/3!)^3!              64
3!,3*,3!-,3/,3^              ((3!*3-3!)/3)^3                64
3!,3*,3!/!,3/,3!^            ((3!*3/3!)!/3)^3!              64
3!,3*,3,3!+/,3!^             (3!*3/(3+3!))^3!               64
3!,3*,3,3*/,3!^              (3!*3/(3*3))^3!                64
3!,3*,3/,3/,3!^              ((3!*3/3)/3)^3!                64
3!,3+,3!-!,3/,3!^            ((3!+3-3!)!/3)^3!              64
3!,3+,3+,3!/,3!^             ((3!+3+3)/3!)^3!               64
3!,3+,3+,3/,3^               ((3!+3+3)/3)^3                 64
3!,3+,3-,3/,3!^              ((3!+3-3)/3)^3!                64
3!,3+,3/!,3/,3!^             (((3!+3)/3)!/3)^3!             64
3!,3,3!!*,3!!//,3!^          (3!/(3*3!!/3!!))^3!            64
3!,3,3!!*/,3!!*,3!^          ((3!/(3*3!!))*3!!)^3!          64
3!,3,3!!+,3!!-/,3!^          (3!/(3+3!!-3!!))^3!            64
3!,3,3!!,3!!-!*/,3!^         (3!/(3*(3!!-3!!)!))^3!         64
3!,3,3!!,3!!-!+-,3!^         (3!-(3+(3!!-3!!)!))^3!         64
3!,3,3!!,3!!-!--,3^          (3!-(3-(3!!-3!!)!))^3          64
3!,3,3!!,3!!-!//,3!^         (3!/(3/(3!!-3!!)!))^3!         64
3!,3,3!!,3!!-!^/,3!^         (3!/3^(3!!-3!!)!)^3!           64
3!,3,3!!,3!!-+/,3!^          (3!/(3+3!!-3!!))^3!            64
3!,3,3!!,3!!--/,3!^          (3!/(3-(3!!-3!!)))^3!          64
3!,3,3!!,3!!/*/,3!^          (3!/(3*3!!/3!!))^3!            64
3!,3,3!!,3!!/+-,3!^          (3!-(3+3!!/3!!))^3!            64
3!,3,3!!,3!!/--,3^           (3!-(3-3!!/3!!))^3             64
3!,3,3!!,3!!///,3!^          (3!/(3/(3!!/3!!)))^3!          64
3!,3,3!!,3!!/^/,3!^          (3!/3^(3!!/3!!))^3!            64
3!,3,3!!-,3!!+/,3!^          (3!/(3-3!!+3!!))^3!            64
3!,3,3!!-^!,3+,3^            (3!^(3-3!!)!+3)^3              64
3!,3,3!*+,3!/,3^             ((3!+3*3!)/3!)^3               64
3!,3,3!*,3!//,3!^            (3!/(3*3!/3!))^3!              64
3!,3,3!*/,3!*,3!^            ((3!/(3*3!))*3!)^3!            64
3!,3,3!+,3!-/,3!^            (3!/(3+3!-3!))^3!              64
3!,3,3!+,3!//,3^             (3!/((3+3!)/3!))^3             64
3!,3,3!+,3//,3!^             (3!/((3+3!)/3))^3!             64
3!,3,3!+/,3!*,3^             ((3!/(3+3!))*3!)^3             64
3!,3,3!+/,3*,3!^             ((3!/(3+3!))*3)^3!             64
3!,3,3!,3!-!*/,3!^           (3!/(3*(3!-3!)!))^3!           64
3!,3,3!,3!-!+-,3!^           (3!-(3+(3!-3!)!))^3!           64
3!,3,3!,3!-!--,3^            (3!-(3-(3!-3!)!))^3            64
3!,3,3!,3!-!//,3!^           (3!/(3/(3!-3!)!))^3!           64
3!,3,3!,3!-!^/,3!^           (3!/3^(3!-3!)!)^3!             64
3!,3,3!,3!-+/,3!^            (3!/(3+3!-3!))^3!              64
3!,3,3!,3!--/,3!^            (3!/(3-(3!-3!)))^3!            64
3!,3,3!,3!/*/,3!^            (3!/(3*3!/3!))^3!              64
3!,3,3!,3!/+-,3!^            (3!-(3+3!/3!))^3!              64
3!,3,3!,3!/--,3^             (3!-(3-3!/3!))^3               64
3!,3,3!,3!///,3!^            (3!/(3/(3!/3!)))^3!            64
3!,3,3!,3!/^/,3!^            (3!/3^(3!/3!))^3!              64
3!,3,3!,3+/*!,3!^            (3!*3/(3!+3))!^3!              64
3!,3,3!,3///,3^              (3!/(3/(3!/3)))^3              64
3!,3,3!-+!,3/,3!^            ((3!+3-3!)!/3)^3!              64
3!,3,3!-,3!+/,3!^            (3!/(3-3!+3!))^3!              64
3!,3,3!-/,3!+,3^             (3!/(3-3!)+3!)^3               64
3!,3,3!/*!,3/,3!^            ((3!*3/3!)!/3)^3!              64
3!,3,3!/,3!*/,3!^            (3!/((3/3!)*3!))^3!            64
3!,3,3!/,3!^,3!*/            3!/((3/3!)^3!*3!)              64
3!,3,3!/,3!^/,3!/            (3!/(3/3!)^3!)/3!              64
3!,3,3!/,3*/,3^              (3!/((3/3!)*3))^3              64
3!,3,3!//,3!/,3!^            ((3!/(3/3!))/3!)^3!            64
3!,3,3!//,3/,3^              ((3!/(3/3!))/3)^3              64
3!,3,3*,3!-/,3!^             (3!/(3*3-3!))^3!               64
3!,3,3*,3!//,3^              (3!/(3*3/3!))^3                64
3!,3,3*,3//,3!^              (3!/(3*3/3))^3!                64
3!,3,3*/,3!*,3^              ((3!/(3*3))*3!)^3              64
3!,3,3*/,3*,3!^              ((3!/(3*3))*3)^3!              64
3!,3,3++,3!/,3!^             ((3!+3+3)/3!)^3!               64
3!,3,3++,3/,3^               ((3!+3+3)/3)^3                 64
3!,3,3+,3-/,3!^              (3!/(3+3-3))^3!                64
3!,3,3+,3/-,3^               (3!-(3+3)/3)^3                 64
3!,3,3+-!,3+,3^              ((3!-(3+3))!+3)^3              64
3!,3,3+/,3+,3^               (3!/(3+3)+3)^3                 64
3!,3,3+^,3,3!^/              3!^(3+3)/3^3!                  64
3!,3,3,3!+/*!,3!^            (3!*3/(3+3!))!^3!              64
3!,3,3,3!/*/,3^              (3!/(3*3/3!))^3                64
3!,3,3,3*/*!,3!^             (3!*3/(3*3))!^3!               64
3!,3,3,3-!*/,3!^             (3!/(3*(3-3)!))^3!             64
3!,3,3,3-!+-,3!^             (3!-(3+(3-3)!))^3!             64
3!,3,3,3-!--,3^              (3!-(3-(3-3)!))^3              64
3!,3,3,3-!//,3!^             (3!/(3/(3-3)!))^3!             64
3!,3,3,3-!^/,3!^             (3!/3^(3-3)!)^3!               64
3!,3,3,3-+/,3!^              (3!/(3+3-3))^3!                64
3!,3,3,3--/,3!^              (3!/(3-(3-3)))^3!              64
3!,3,3,3/*/,3!^              (3!/(3*3/3))^3!                64
3!,3,3,3/+-,3!^              (3!-(3+3/3))^3!                64
3!,3,3,3/--,3^               (3!-(3-3/3))^3                 64
3!,3,3,3///,3!^              (3!/(3/(3/3)))^3!              64
3!,3,3,3/^/,3!^              (3!/3^(3/3))^3!                64
3!,3,3-!*,3/,3!^             (3!*(3-3)!/3)^3!               64
3!,3,3-!+,3-,3^              (3!+(3-3)!-3)^3                64
3!,3,3-!,3*/,3!^             (3!/((3-3)!*3))^3!             64
3!,3,3-!,3+-,3!^             (3!-((3-3)!+3))^3!             64
3!,3,3-!,3-+,3^              (3!+(3-3)!-3)^3                64
3!,3,3-!,3/*!,3!^            (3!*(3-3)!/3)!^3!              64
3!,3,3-!-,3-,3!^             (3!-(3-3)!-3)^3!               64
3!,3,3-!/,3/,3!^             ((3!/(3-3)!)/3)^3!             64
3!,3,3-!^,3/,3!^             (3!^(3-3)!/3)^3!               64
3!,3,3-*!,3+,3^              ((3!*(3-3))!+3)^3              64
3!,3,3-+,3/,3!^              ((3!+3-3)/3)^3!                64
3!,3,3-,3+/,3!^              (3!/(3-3+3))^3!                64
3!,3,3--,3/,3!^              ((3!-(3-3))/3)^3!              64
3!,3,3-^,3+,3^               (3!^(3-3)+3)^3                 64
3!,3,3/*,3/,3!^              ((3!*3/3)/3)^3!                64
3!,3,3/+,3-,3^               (3!+3/3-3)^3   &
  Posted by Charlie on 2008-07-08 11:43:59
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