Fill magical lanterns beside a woodland pond to explore multiplying by 0 and 1. Play endless fresh wishes with balanced practice in both factor orders, gradually larger groups, and a running score and streak.
Read the wish
The first factor tells how many lanterns; the second tells how many fireflies belong in each.
Fill the lanterns
Tap a lantern to add a firefly. Tap a firefly to take it out. Leave lanterns empty when each needs zero.
Release
Press Release to check the groups, then Next wish to continue. Wishes keep coming with fresh numbers. Use Play again to reset your score and streak.
Build equal groups
Tap lanterns to add fireflies and tap fireflies to remove them.
Both factor orders
Explore empty groups, zero groups, one group, and groups of one in unlimited rounds. Numbers gradually grow within the illustrated board’s limits.
Zero lanterns or zero fireflies in every lantern both give a total of zero.
One group keeps the number, and groups of one have one firefly per group.
Yes. Use Tab to focus lanterns and fireflies, and Enter or Space to add or remove them.
No. It continues for unlimited rounds, mixing both factor orders and zero and one edge cases without repeating the same equation immediately. Illustrated groups stay within 8 lanterns or 12 fireflies in one lantern.