Competitive ProgrammingEasy

Egg Dropping Puzzle

Detailed guide and Python implementation for the 'Egg Dropping Puzzle' problem.

Problem Statement

Easy

Write a function egg_drop(n, k) that returns the minimum number of trials required to find the critical floor in the worst case, given n eggs and k floors.

Constraints
  • 1 <= n <= 10
  • 1 <= k <= 100

Examples

Example 1
Input
egg_drop(2, 10)
Output
4
Explanation

With 2 eggs and 10 floors, we can find the critical floor in at most 4 trials.

Example 2
Input
egg_drop(3, 14)
Output
4
Explanation

With 3 eggs and 14 floors, we can find the critical floor in at most 4 trials.

Need a Hint?
Consider using Dynamic Programming-specific data structures like sets or heaps.
Edge Cases to Watch
  • Empty input structures
  • Single element inputs
  • Large numerical bounds

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