MathDB
2018 PUMaC Live Round Estimation 2

Source:

January 13, 2019
Live RoundPuMAC

Problem Statement

How many perfect squares have the digits 11 through 99 each exactly once when written in base 1010?
You must give your answer as a nonnegative integer. If your answer is AA and the correct answer is CC, your score will be 12.5min{(AC)2,(CA)2}.\lfloor12.5\cdot\min\{(\tfrac{A}{C})^2,(\tfrac{C}{A})^2\}\rfloor.