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# Tiling a Grid With Dominoes

1000ms 65536K

## Description:

We wish to tile a grid 4 units high and N units long with rectangles (dominoes) 2 units by one unit (in either orientation). For example, the figure shows the five different ways that a grid 4 units high and 2 units wide may be tiled.

Write a program that takes as input the width, W, of the grid and outputs the number of different ways to tile a 4-by-W grid.

## Input:

The first line of input contains a single integer N, (1 ≤ N ≤ 1000) which is the number of datasets that follow.
Each dataset contains a single decimal integer, the width, W, of the grid for this problem instance.

## Output:

For each problem instance, there is one line of output: The problem instance number as a decimal integer (start counting at one), a single space and the number of tilings of a 4-by-W grid. The values of W will be chosen so the count will fit in a 32-bit integer.

## Sample Input:

3237

## Sample Output:

1 52 113 781

## Note:

Info

Provider NOJ

Code NOJ1417

Tags

Submitted 1

Passed 1

AC Rate 100%

Date 04/20/2019 10:03:10

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