read from the last swaps since the last move refreshed every second
reading
nimbers reads the last 64 swaps of this coin as one game of nim. every swap is a heap. the size of the heap is the swap's class, the whole part of log2 of its dollar size. a $1 swap is *0, a $40 swap is *5, a $1,500 swap is *10. the nimber of a heap is its size with a star in front.
position value: . buys add up to . sells add up to . xor is .
this is an n position. the next swap can zero it. the swap that does it is class , anywhere from .
the running value has been zero times across these swaps. the last zero was swaps ago. the smallest class missing from the tape is . that is the mex.
