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A - Weird Function

Score : $100$ points

Problem Statement

Let us define a function $f$ as $f(x) = x^2 + 2x + 3$.
Given an integer $t$, find $f(f(f(t)+t)+f(f(t)))$.
Here, it is guaranteed that the answer is an integer not greater than $2 \times 10^9$.

Constraints

• $t$ is an integer between $0$ and $10$ (inclusive).

Input

Input is given from Standard Input in the following format:

$t$

Output

Print the answer as an integer.

0

1371

The answer is computed as follows.

• $f(t) = t^2 + 2t + 3 = 0 \times 0 + 2 \times 0 + 3 = 3$
• $f(t)+t = 3 + 0 = 3$
• $f(f(t)+t) = f(3) = 3 \times 3 + 2 \times 3 + 3 = 18$
• $f(f(t)) = f(3) = 18$
• $f(f(f(t)+t)+f(f(t))) = f(18+18) = f(36) = 36 \times 36 + 2 \times 36 + 3 = 1371$

3

722502

10

1111355571