1137 - H • Tiling a Grid With Dominoes
Time Limit : 1 Second
Memory Limit : 128 MB
- 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
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
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.
- sample input
3 2 3 7
- sample output
1 5 2 11 3 781
- Greater New York Regional