Check Which Floors To Break Eggs From

In either case we have to do the job from downward to upwards.

Check which floors to break eggs from.

Then we have to test floors 1 13 with the 2nd egg to see where the egg breaks again and the egg will not break on any of those floors. If it doesn t break you will have to check the x x 1 th big x x 1 big text th x x 1 th floor. Then you should start at the x th x text th x th floor because if the egg breaks you will have to check floors 1 2 3 x 2 1 2 3 ldots x 2 1 2 3 x 2 and x 1 x 1 x 1 so the total number of drops will be x x x. Raising a nest box slightly can make a distinction between that and the floor.

See below for programming solution for general k eggs and n floors. To encourage chickens to lay in nest boxes. One of the floors is the highest floor an egg can be dropped from without breaking. If egg breaks on 27 th floor we try floors form 15 to 26.

Consider the size but also the height of the box. If an egg is dropped from above that floor it will break. If egg doesn t break on 27 th floor we go to 39 th floor. If it is dropped from that.

The solution for the worst case in this scenario occurs when the threshold floor is floor number 14 because we will drop the first egg on floor 14 and it will break. What this means is that the egg will not break when dropped from any floor below floor n but the egg will definitely break from any floor above floor n including floor n itself. We can notice that if we choose 4th floor as first floor 7 th as next floor and 9 as next of next floor we never exceed more than 4 trials. 2 if egg does not break we try next from 7 th floor.

Ensure the nest boxes are designed correctly. Again two cases arise. If egg doesn t break we go to 27th floor. If egg breaks we one by one try remaining 13 floors.

An egg eating vice is also easily started in the flock when eggs are laid on the floor so laying on the floor needs to be avoided. The optimal number of trials is 14 in worst case.