Check Which Floors To Break Eggs From

See below for programming solution for general k eggs and n floors.

Check which floors to break eggs from.

If egg doesn t break on 27 th floor we go to 39 th floor. Consider the size but also the height of the box. Again two cases arise. If it is dropped from that.

One of the floors is the highest floor an egg can be dropped from without breaking. 2 if egg does not break we try next from 7 th floor. Ensure the nest boxes are designed correctly. 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.

The optimal number of trials is 14 in worst case. 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. 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. 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.

To encourage chickens to lay in nest boxes. 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. If an egg is dropped from above that floor it will break. If egg breaks we one by one try remaining 13 floors.

A building has 100 floors. If egg doesn t break we go to 27th floor. In either case we have to do the job from downward to upwards. Raising a nest box slightly can make a distinction between that and the floor.

If egg breaks on 27 th floor we try floors form 15 to 26. 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.