$O(n)$
dp[0]=dp[1]=1
dp[n]=dp[n-1]+dp[n-2]*2
#include<cstdio> int n, dp[1001]; int main() { dp[0] = dp[1] = 1; scanf("%d", &n); for (int i = 2; i <= n; i++) dp[i] = (dp[i - 1] + dp[i - 2] * 2) % 10007; printf("%d", dp[n]); return 0; }
#include<cstdio> int n, dp[1001]; int main() { dp[0] = dp[1] = 1; scanf("%d", &n); for (int i = 2; i <= n; i++) dp[i] = (dp[i - 1] + dp[i - 2] * 2) % 10007; printf("%d", dp[n]); return 0; }
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