Problem:
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Fibonacci Number

Write a program which prints $n$-th fibonacci number for a given integer $n$. The $n$-th fibonacci number is defined by the following recursive formula:

\begin{equation*}
fib(n)= \left \{
\begin{array}{ll}
1　 & (n = 0) \\
1　 & (n = 1) \\
fib(n - 1) + fib(n - 2) & \\
\end{array}
\right.
\end{equation*}

Input

An integer $n$ is given.

output

Print the $n$-th fibonacci number in a line.

Constraints

$0 \leq n \leq 44$

Sample Input 1

3

Sample Output 1

3

Solution in Python3 (judge verdict: Accepted)

N = int(input())
dp = [0] * (N + 1)
if N == 0:
    print(0)
    exit()
if N == 1:
    print(1)
    exit()
dp[0] = 1
dp[1] = 1
for i in range(2, N + 1):
    dp[i] = dp[i - 1] + dp[i - 2]

print(dp[-1])