MathDB

There are 99 seagulls labeled 2-100 and 100 bagels labeled 1-100. Starting from Seagull 2, each Seagull

N

eats

\frac{1}{N}

of whatever remains of each Bagel

I

where

N

divides

I

. How many bagels still have more than

\frac{2}{3}

of their original size after Seagull 100 finishes eating?
2022 CCA Math Bonanza Lightning Round 4.1

Problem Statement