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, MOD = int(input()), 10 ** 9 + 7
memo = [{} for x in range(N + 1)]
def ok(sec4):
  for i in range(4):
    tem = list(sec4)
    if i >= 1:
      tem[i - 1], tem[i] = tem[i], tem[i - 1]
    tem2 = "".join(tem)  
    if tem2[:3] == "AGC" or tem2[1:] == "AGC":
      return False
  return True
def dfs(cur, last3):
  if last3 in memo[cur]:
    return memo[cur][last3]
  if cur == N:
    return 1
  ret = 0
  for s in "AGCT":
    if ok(last3 + s):
      ret = ret + dfs(cur + 1, last3[1:] + s)
  memo[cur][last3] = ret
  return ret
print(dfs(0, "TTT") % MOD)