Floor Tiling - 2

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Question Solve Solutions

1. You are given a number N.
2. You have two types of tiles: a 2x1 domino shape, and an "L" tromino shape. 
3. You have to find the number of ways to tile a 2*N dimensional floor.

Note -> You can also rotate the tiles.

Input Format

A number N

Output Format

Print your answer modulo 10^9+7.

Constraints

1 <= N <= 1000

Notice

Try First, Check Solution later

1. You should first read the question and watch the question video.
2. Think of a solution approach, then try and submit the question on editor tab.
3. We strongly advise you to watch the solution video for prescribed approach.

Example

Input

Output

Scramble String

Size, Sum, Max, Min And Find For Bst

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