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 C (GCC 5.4.1) (judge verdict: Accepted)

#include <stdio.h>
int main()
{
  int N;
  int A[10][2];
  int i;
  int result_odd, result_total, result;
  scanf("%d", &N);
  for(i = 0; i < N; ++i){
    scanf("%d", &A[i][0]);
    /* 奇数の数 */
    if(A[i][0] % 2 == 1)
      A[i][1] = 1;
    else
      A[i][1] = 2;
  }
  result_odd	= A[0][1];
  result_total	= 3;
  for(i = 1; i < N; ++i){
    result_total	*= 3;
    result_odd		*= A[i][1];
  }
  result = result_total - result_odd;
  printf("%d\n", result);
  return 0;
}