Eggs And Floors Dynamic Programming Java

K 10 output.

Eggs and floors dynamic programming java.

Wiki for dynamic programming. Suppose 2 eggs are available. If egg doesn t break we go to 27th floor. If egg breaks we one by one try remaining 13 floors.

N eggs k 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. If egg doesn t break on 27 th floor we go to 39 th floor.

This problem is a specific case of n eggs and k floors. Try dropping an egg from each floor from 1 to k and calculate the minimum number of dropping needed in worst case. 4 we first try from 4 th floor. Base cases eggs 1 floors x.

So egg dropping puzzle has both properties see this and this of a dynamic programming problem. 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. What is the least number of egg droppings that is guaranteed to work in all cases.

Play safe and drop from floor 1 if egg does not break then drop from floor 2 and so on. 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.