PUZZLE IBM-231
Zeros in sin(PONDER)*sin(THIS)
IBM Research · Ponder This · 2017-07
IBM Ponder This #231 · July 2017
This month's challenge is based on an idea from Omid Motahed (thanks!).
Find a way to assign a unique digit to each letter such that the 863,172nd digit after the decimal point of sin(PONDER) and of sin(THIS) are not zeros, but more than a fifth of the first million digits of sin(PONDER)*sin(THIS) are zeros.
The parameters are in degrees, and we count the digits from 1, so for example, sin(100) = 0.9848077530122... so the fifth digit after the decimal point of sin(100) is zero.
Solution
Best opened after a real attemptTo be added.