diff --git a/go/domino-and-tromino-tiling.go b/go/domino-and-tromino-tiling.go new file mode 100644 index 0000000..ebb6e8a --- /dev/null +++ b/go/domino-and-tromino-tiling.go @@ -0,0 +1,14 @@ +package main + +const MOD int = 1_000_000_007 + +func numTilings(n int) int { + dp := [...]int{0, 1, 2, 5} + + for n >= 4 { + dp[0], dp[1], dp[2], dp[3] = dp[1], dp[2], dp[3], (2*dp[3]+dp[1])%MOD + n-- + } + + return dp[n] +}