Eggs And Floors Dynamic Programming Java

This problem is a specific case of n eggs and k floors. What is the least number of egg droppings that is guaranteed to work in all cases. Java programming egg dropping puzzle dynamic programming description of instance of this famous puzzle involving n 2 eggs and building with k 36 floors the following is a description of the instance of this famous puzzle involving n 2 eggs and a building with k 36 floors.

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The optimal number of trials is 14 in worst case.

Eggs and floors dynamic programming java.

The problem is not actually to find the critical floor but merely to decide floors from which eggs should be dropped so that total number of trials are minimized. Base cases eggs 1 floors x. Wiki for dynamic programming. Suppose 2 eggs are available.

Given 2 eggs and k floors find the minimum number of trials needed in worst case. Two cases arise 1 if egg breaks we have one egg left so we need three more trials. Play safe and drop from floor 1 if egg does not break then drop from floor 2 and so on. K 10 output.

If egg doesn t break we go to 27th floor. See below for programming solution for general k eggs and n floors. Like other typical dynamic programming dp problems recomputations of same subproblems can be avoided by constructing a temporary array eggfloor in bottom up manner. If egg breaks on 27 th floor we try floors form 15 to 26.

N eggs k floors. So in worst case x times an egg needs to be dropped to find the solution. If egg breaks we one by one try remaining 13 floors. Try dropping an egg from each floor from 1 to k and calculate the minimum number of dropping needed in worst case.

So egg dropping puzzle has both properties see this and this of a dynamic programming problem. 4 we first try from 4 th floor. If egg doesn t break on 27 th floor we go to 39 th floor.