Eggs And Floors Dynamic Programming Java

Like other typical dynamic programming dp problems recomputations of same subproblems can be avoided by constructing a temporary array eggfloor in bottom up manner.

Eggs and floors dynamic programming java.

So in worst case x times an egg needs to be dropped to find the solution. Two cases arise 1 if egg breaks we have one egg left so we need three more trials. This problem is a specific case of n eggs and k floors. Suppose 2 eggs are available.

If egg breaks on 27 th floor we try floors form 15 to 26. If egg doesn t break we go to 27th floor. K 10 output. Given 2 eggs and k floors find the minimum number of trials needed in worst case.

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. Wiki for dynamic programming. If egg breaks we one by one try remaining 13 floors. 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.

Play safe and drop from floor 1 if egg does not break then drop from floor 2 and so on. What is the least number of egg droppings that is guaranteed to work in all cases. The optimal number of trials is 14 in worst case. See below for programming solution for general k eggs and n floors.

If egg doesn t break on 27 th floor we go to 39 th floor. Base cases eggs 1 floors x. N eggs k floors.