GNY07H - Tiling a Grid With Dominoes

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.


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.


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.



1 5
2 11
3 781

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phamkhaclinh: 2013-01-23 17:20:58

if input is 0 ?

VV: 2012-10-24 08:56:53

60 sec time limit?

akb: 2012-08-10 14:56:23

Please help me to learn proper approach for such problems...

Francky: 2012-06-24 09:30:19

After that, you can try :

Anoop Chaurasiya: 2010-05-08 14:57:41

same idea as M3TILE

Akhauri Kartikeya Sinha: 2010-04-29 05:51:02

for 3 number of possibilities should be 9,how it is 11? :(

Added by:Marco Gallotta
Time limit:9.600s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ERL JS-RHINO NODEJS PERL6 VB.NET
Resource:ACM Greater New York Regionals 2007