User:Azerty/Champions Zoology

This is a zoology of champions and what they compute.

Classification	Examples	Scale
Trivial		$O(n)$
Multiplier	1RB2LB---_2LA2RB1LB (bbch) BB(2,3) 1RB1LB_1LA1LC_1RC0LC (bbch) BLB(3,2)	$O(n^2)$
Piecewise Affine Function	1PB1PA1TA_2TB2PB2PC_---2PA1TC TT(3,3)	$O(2^n)$
Chaotic	1RB1LB_1LA--- (bbch) BB(2,2) 1RB---_1LB0RC_1LC1LA (bbch) BB(3,2) 1RB1LB_1LA0LC_---1LD_1RD0RA (bbch) BB(4,2)	$O(2^n)$
Exponentiater	1RB------_1RC------_0RD0RC1LD_1LC2RD0LC (bbch) BBti(8)	$O(2^n)$
Collatz-like	1RB2LA1RA1RA_1LB1LA3RB--- (bbch) BB(2,4) 1RB1LC_1RC1RB_1RD0LE_1LA1LD_---0LA (bbch) BB(5,2) 0RB2LA1RA_1LA2RB1RC_---1LB1LC (bbch) BB(3,3)	$O(2^n)$