From our balcony far above the town, the lovely Inez and I admire the salsa dancers through a powerful spyglass; the air is heavy with the scent of verbena.
Speaking alphametically, let 100*LENS/SALSA=IN.VERVEINVERVEIN...etc.
INEZ is indubitably prime.
What is the numeric value of CARNAVAL?
Very interesting.
LENS/SALSA= INVERVE*(.00000010000001... etc)
= INVERVE/9999999
9999999 = 9*239*4649 (I looked up repunit factors),
so LENS*9*239*4649 = SALSA * INVERVE
The factors of SALSA and INVERVE must include either
239, and 9*4649 = 41841
or
4649, and 9*239 = 2151
or
3*4649 = 13947, 3*239 = 717
Fortunately,
SALSA = 41841 leads to Charlie's solution.
I have not looked for other solutions.
An analytical start (spoiler)
