Time Limit: 1000MS Memory Limit: 65536 K
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
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.
Greater New York Region 2007