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=[{}for i in range(N)]
list=['AGC','ACG','GAC']
def dfs(x,y):
  if x in list:
    return 0
  if y==N:
    return 1
  if x in dp[y]:
    return dp[y][x]
  ans=0
  for i in 'ACGT':
    if x[0]=='A' and i=='C' and (x[1]=='G' or x[2]=='G'):
      continue
    ans+=dfs(x[1:]+i,y+1)
  dp[y][x]=ans%mod
  return ans%mod
print(dfs('TTT',0))