Hello. Today our job is to find the Nth Pipi number.

Let us define P_n such that the following expression:

$P_0+\sqrt{P_1+\sqrt{P{}_2+\sqrt{\mathrm{.}\mathrm{.}\mathrm{.}\sqrt{P_{n-1}+\sqrt{P_n}}}}}P\_\{0\}+\backslash sqrt\{P\_\{1\}+\backslash sqrt\{P\{\_2\}+\backslash sqrt\{...\backslash sqrt\{P\_\{n-1\}+\backslash sqrt\{P\_n\}\}\}\}\}$

is equal to n, if P₀ = 0.

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Examples:

pipi(0) == 0

because

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pipi(1) == 1

because

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pipi(2) == 9 

because

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pipi(3) == 3025

because

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Number N range:

From 0 to 22.

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