Solution: Egg Dropping Problem
Learn to solve the egg dropping problem through dynamic programming with multiple methods. Understand brute force, memoization, tabularization, and an optimized binomial coefficient approach to minimize trials. This lesson covers time complexity and practical ways to tackle this classic algorithm challenge, preparing you for coding interviews with C#.
Solution 1: Brute force
Explanation
When we drop an egg from the floor i, there can be two cases: either the egg breaks or the egg doesn’t break.
- If the egg breaks after dropping from the floor, then we only need to check for floors lower than
iwith the remaining eggs, so the problem reduces toi - 1floors andn - 1eggs. - If the egg doesn’t break after dropping from the