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Fast-growing hierarchy (problem concept)
By Im9223372036854775808, history, 5 months ago, translation, In English

Stas plays a very hard game, called I wanna be the professor. It is similar to I wanna be the Guy, but it is also needed to solve mathematical problems to advance. Once he reached the boss, and now he must calculate the Fast-growing hierarchy to beat the boss.

INPUT

n, a

OUTPUT

Print f — the answer

Example

INPUT

0 1

OUTPUT

2

Source: Fast-growing hierarcy

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