#CCBCHBAHAI0000128. Mảng Fibonacci (Fibonacci Array)

Mảng Fibonacci (Fibonacci Array)

Fibonacci Array

Source: beecrowd

Version: Phuoc Hung OJ Extended

Problem Statement

The Fibonacci sequence is defined by

F0=0,F1=1,F_0=0,\qquad F_1=1, Fn=Fn−1+Fn−2for n≥2.F_n=F_{n-1}+F_{n-2}\quad\text{for }n\ge2.

Given an index NN, compute and print FNF_N. Every Fibonacci value required by the input range fits in an unsigned 64-bit integer.

The original problem contains multiple test cases in one input. The Phuoc Hung OJ version uses one index NN per run to match the judge's independent-test-file model.

Input

One line contains the integer NN.

Output

Print one line in the exact form Fib(N) = X, where N is the given index and X=FNX=F_N.

Subtasks

Subtask 1 (100 points): 0≤N≤600\le N\le60.

Examples

Input

60

Output

Fib(60) = 1548008755920

Explanation

For N=60N=60, start with F0=0F_0=0 and F1=1F_1=1. Every next term is the sum of the previous two. Continuing through index 6060 gives

F60=1548008755920.F_{60}=1548008755920.

Therefore the program prints Fib(60) = 1548008755920.