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())
M=10**9+7
dp={b:1 for b in 'ACGT'}
for i in range(N-1):
    dp_next={}
    for j in dp:
        for k in 'AGCT':
            elem=j[-3:]+k
            if elem[-3:] in ('AGC','GAC','ACG') or elem in ('AGGC','ATGC','ACGC','AGTC','AGGC'):
                continue
            else:
                dp_next.setdefault(elem,0)
                dp_next[elem]+=dp[j]
    dp=dp_next
print(sum(dp.values())%M)