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What is the number of ways n + 1 factors can be completely parenthesized by n pairs of parentheses?
For example, the following are the 14 ways that 5 factors can be parenthesized:
(1 (2 (3 (4 5))))
(1 (2 ((3 4) 5)))
(1 ((2 3) (4 5)))
(1 ((2 (3 4)) 5))
(1 (((2 3) 4) 5))
((1 2) (3 (4 5)))
i'm prob like super late on this or whatever, but grats on admin and stuff man!!! :]]
you've come a super long way, keep doin your thing bud. really, you've done enough!