C++ Programming: From Problem Analysis to Program Design
C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN: 9781337102087
Author: D. S. Malik
Publisher: Cengage Learning
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Write code in C++, C# or Python to solve the following problem:

Instead of a regular Fibonacci number, you are supposed to calculate a special one as follows:

F(n) = F(n-1)+ 2 * F(n-2) + 3 * F(n-3)

As an example, if F(0) = F(1) = F(2) = 1, then we have:

F(3) = F(2) + 2 * F(1) + 3 * F(0) = 1 + 2 + 3 = 6 F(4) = F(3) + 2 * F(2) + 3 * F(1) = 6 + 2 + 3 = 11

Given F(0), F(1), F(2), and N, your job is to calculate F(N).

Input Format

First number is F(0), second number is F(1), third number is F(2), and last number is N.

Example input: 1 1 1 4

Constraints

NA

Output Format

Print the Nth special Fibonnaci number.

Example output: 11

 

Sample Input 0

1
1
1
4

Sample Output 0

11
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