Tiling Problem
Detailed guide and Python implementation for the 'Tiling Problem' problem.
Problem Statement
Write a function tiling_ways(n) that returns the number of ways to tile a 2xn board using 2x1 dominoes. The dominoes can be placed vertically or horizontally.
- •1 <= n <= 50
Examples
tiling_ways(3)
3
For a 2x3 board, there are 3 ways: 3 vertical tiles, or 1 vertical and 2 horizontal tiles (in two configurations).
tiling_ways(4)
5
For a 2x4 board, there are 5 ways to tile it.
Need a Hint?
Edge Cases to Watch
- Empty input structures
- Single element inputs
- Large numerical bounds
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