Problem #5

There is a critical height (which is a whole number of floors above ground level), such that an egg dropped from that height (or higher) will break, but if dropped from a lower height (no matter how many times), it will not break. You are given two eggs and told that the critical height is between 1 floor and 37 floors (inclusive). What is the minimum number of times you must drop an egg in order to GUARANTEE the successful determination of the critical height?

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