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