You are given an integer N. Find the number of strings of length N that satisfy the following conditions, modulo 10^9+7:

* The string does not contain characters other than `A`, `C`, `G` and `T`.
* The string does not contain `AGC` as a substring.
* The condition above cannot be violated by swapping two adjacent characters once.

Constraints

* 3 \leq N \leq 100

Input

Input is given from Standard Input in the following format:


N


Output

Print the number of strings of length N that satisfy the following conditions, modulo 10^9+7.

Examples

Input

3


Output

61


Input

4


Output

230


Input

100


Output

388130742
n = int(input())
mod = 10**9+7
  
dp = [[0]*4 for i in range(n)]
for i in range(4):
  dp[0][i] = 1
  dp[1][i] = 4
  dp[2][i] = 16
  
dp[2][1] -= 2
dp[2][2] -= 1
  
for i in range(3,n):
  for j in range(4):
    dp[i][j] = sum(dp[i-1])%mod
  dp[i][1] -= dp[i-2][0] #AGC
  dp[i][1] -= dp[i-2][2] #GAC
  dp[i][1] -= dp[i-3][0]*3 #AGTC,AGGC,ATGC
  dp[i][2] -= dp[i-2][0] #ACG
  dp[i][2] += dp[i-3][2] #GACG
  
print(sum(dp[n-1])%mod)