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July 31, 2024 |370 Views

Dynamic Programming | Set 11 (Egg Dropping Puzzle)

Description
Discussion

The following is a description of the instance of this famous puzzle involving n=2 eggs and a building with k=36 floors.
Suppose that we wish to know which stories in a 36-storey building are safe to drop eggs from, and which will cause the eggs to break on landing. We make a few assumptions:
…..An egg that survives a fall can be used again. 
…..A broken egg must be discarded. 
…..The effect of a fall is the same for all eggs. 
…..If an egg breaks when dropped, then it would break if dropped from a higher floor. 
…..If an egg survives a fall then it would survive a shorter fall. 
…..It is not ruled out that the first-floor windows break eggs, nor is it ruled out that the 36th-floor do not cause an egg to break.

Dynamic Programming  Set 11 (Egg Dropping Puzzle) : https://www.geeksforgeeks.org/egg-dropping-puzzle-dp-11/