A large container filled with marbles has four levels. Each level has holes through which marbles may drop to $$the levels below. Every $20$minutes$,$ a machine

shakes the container. After shaking, some marbles will drop to $$lower levels but within $10$minutes all marbles will come to $$rest$.$ For each level except the

last, half of $$the marbles will remain on $$that level and the other half will be $$equally distributed to $$the levels below. Marbles on $$the last level always stay there.

The container is $$shaken at$9$:$00$am$,9$:$20$am$,$and $9$:$40$am$.$If $$the distribution at$9$:$30($i$.$e$.$after the second shake$)$is$$as $$shown below, find the distribution

at$9$:$10$and at$9$:$50.$