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++14 (GCC 5.4.1) (judge verdict: Accepted)

#include<iostream>
#include<cstdio>
#include<string>
#include<math.h>
#include<algorithm>
#include<vector>
#include<iomanip>
#include<map>
#include<numeric>
#include<stack>
#include<queue>
#include<functional>
#include<cassert>
#include<set>
#define rep(a,b) for(int a=0;a<b;++a)
#define REP(a,b,c,d) for(int a=b;a<c;a+=d)
#define yes cout<<"Yes"<<endl
#define no cout<<"No"<<endl
#define mod 1000000007
using namespace std;
//using ll = long long;
//using p_i = pair<int, int>;
int main() {
    int N;cin>>N;
    int Mid=0;
    vector<int> A(N);
    rep(i,N){
        cin>>A[i];
        if(A[i]%2==0)++Mid;
    }
    cout<<pow(3,N)-pow(2,Mid)<<endl;
}