6508: ABC234 —— A - Weird Function
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Description
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 $2 \times 10^9$.
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 $2 \times 10^9$.
Input
Input is given from Standard Input in the following format:
$t$
$t$
Output
Print the answer as an integer.
Constraints
$t$ is an integer between $0$ and $10$ (inclusive).
Sample 1 Input
0
Sample 1 Output
1371
The answer is computed as follows.
- $f(t) = t^2 + 2t + 3 = 0 \times 0 + 2 \times 0 + 3 = 3$
- $f(t)+t = 3 + 0 = 3$
- $f(f(t)+t) = f(3) = 3 \times 3 + 2 \times 3 + 3 = 18$
- $f(f(t)) = f(3) = 18$
- $f(f(f(t)+t)+f(f(t))) = f(18+18) = f(36) = 36 \times 36 + 2 \times 36 + 3 = 1371$
Sample 2 Input
3
Sample 2 Output
722502
Sample 3 Input
10
Sample 3 Output
1111355571
HINT
题目来源:AtCoder ABC234 A题。