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Count domino tiling in 4xn board

Problem
Examples
Example 1
Example 2
Example 3
Solution
Method 1 — Recurrence derivation (combinatorial decomposition)
Intuition
Approach (high level)
Code
Method 2 — Dynamic programming (tabulation)
Intuition
Approach
Code
Complexity
Method 3 — Fast exponentiation via linear recurrence (matrix power)
Intuition
Approach
Code
Complexity

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