In the middle of a beautiful, magical pond lies a bright pink lotus. The number of lotuses doubles every day in this pond. After 60 days, the pond is completely covered with lotuses.
1. On which day was the pond half full?
2. If the pond is completely covered by lotuses on the 60th day, how much of it is covered by lotuses on the 59th day?
3. Write the number of lotuses when the pond was:
(i) fully covered -
(ii) half covered -
4. There is another pond in which the number of lotuses triples every day. When both the ponds had no flowers, Damayanti placed a lotus in the doubling pond. After \(4\) days, she took all the lotuses from there and put them in the tripling pond. How many lotuses will be in the tripling pond after \(4\) more days?