IBM Research

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 attempt

To be added.