Problem:
Score : 200 points

Problem Statement

We will say that two integer sequences of length N, x_1, x_2, ..., x_N and y_1, y_2, ..., y_N, are similar when |x_i - y_i| \leq 1 holds for all i (1 \leq i \leq N).

In particular, any integer sequence is similar to itself.

You are given an integer N and an integer sequence of length N, A_1, A_2, ..., A_N.

How many integer sequences b_1, b_2, ..., b_N are there such that b_1, b_2, ..., b_N is similar to A and the product of all elements, b_1 b_2 ... b_N, is even?

Constraints

1 \leq N \leq 10

1 \leq A_i \leq 100

Input

Input is given from Standard Input in the following format:

N
A_1 A_2 ... A_N

Output

Print the number of integer sequences that satisfy the condition.

Sample Input 1

2
2 3

Sample Output 1

7

There are seven integer sequences that satisfy the condition:

1, 2

1, 4

2, 2

2, 3

2, 4

3, 2

3, 4

Sample Input 2

3
3 3 3

Sample Output 2

26

Sample Input 3

1
100

Sample Output 3

1

Sample Input 4

10
90 52 56 71 44 8 13 30 57 84

Sample Output 4

58921

Solution in Fortran (gfortran v4.8.4) (judge verdict: Runtime Error)

program sample
  implicit none
  integer N, a, k, t, i
  integer, allocatable :: x(:)
  read(*,*) N
  allocate(x(N))
  k = 1
  t = 1
  do i = 1,N
   read(*,*) a
   x(i) = a
   if ( mod(x(i), 2) == 0) then
    k = k * 2
   endif
   if (x(i) /= 1) then
    t = t * 3
   else
    t = t * 2
   endif
  end do
  write(*,*) t - k
  
  stop
end program sample