Školjka

%V0 A biologist watches a chameleon. The chameleon catches flies and rests after each catch. The biologist notices that: - the first fly is caught after a resting period of one minute; - the resting period before catching the $2m^{th}$ fly is the same as the resting period before catching the $m^{th}$ fly and one minute shorter than the resting period before catching the $(2m+1)^{th}$ fly; - when the chameleon stops resting, he catches a fly instantly. - How many flies were caught by the chameleon before his first resting period of $9$ minutes in a row ? - After how many minutes will the chameleon catch his $98^{th}$ fly ? - How many flies were caught by the chameleon after 1999 minutes have passed ?