class Solution:
def numTilings(self, n: int) -> int:
md = 10**9 + 7
dp = [0] * 10001
dp[1] = 1
dp[2] = 2
dp[3] = 5
if n<=3:
return dp[n]
for i in range(4, n+1, 1):
dp[i] = 2*dp[i-1] + dp[i-3]
dp[i]%=md
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