
ZOJ Problem Set  2994
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 4byW 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 4byW grid. The values of W will be chosen so the count will fit in a 32bit integer. Sample Input
Sample Output
Source: Greater New York Region 2007 