P24261 [AtCoder] Weird Function
入门
题目描述

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 $2 \times 10^9$.

Input

Input is given from Standard Input in the following format:
t

Output

Print the answer as an integer.

Constraints

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

Sample Input 1

0

Sample Output 1

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 Input 2

3

Sample Output 2

722502

Sample Input 3

10

Sample Output 3

1111355571

输入格式

见题面 Input 部分

输出格式

见题面 Output 部分

样例输入
0
样例输出
1371