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)

//Shubham Vijayvargiya

#include<bits/stdc++.h>
#include<ext/pb_ds/assoc_container.hpp>
#include<ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
using namespace std;

#define pb push_back
#define mp make_pair
#define eb emplace_back
#define F first
#define S second
#define sz(a) (int)(a.size())
#define set(a,b) memset(a,b,sizeof(a))
#define let(x,a) __typeof(a) x(a)
#define rep(i, begin, end) for (ll i = (begin) - ((begin) > (end)); i != (end) - ((begin) > (end)); i += 1 - 2 * ((begin) > (end)))
#define all(v) (v).begin(),(v).end()
#define sll(x) { scanf("%lld",&x); }
#define si(x) { scanf("%d",&x); }
#define slf(x) { scanf("%lf",&x); }
#define pll(x) { printf("%lld\n",x); }
#define pi(x) { printf("%d\n",x); }
#define tcases() long long testcases; cin>>testcases ; while(testcases--)

#define TRACE
#ifdef TRACE
#define trace(...) __f(#__VA_ARGS__, __VA_ARGS__)
template <typename Arg1>
void __f(const char* name, Arg1&& arg1){
    cerr << name << " = " << arg1 << std::endl;
}
template <typename Arg1, typename... Args>
void __f(const char* names, Arg1&& arg1, Args&&... args){
    const char* comma = strchr(names + 1, ',');cerr.write(names, comma - names) << " = " << arg1<<" | ";__f(comma+1, args...);
}

#else
#define trace(...)
#endif

template <typename T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;

typedef long long ll;
typedef long double ld;
typedef pair<long long,long long> pll;
typedef vector<long long> vll;
typedef vector<pll> vpll;
typedef vector<vll> vvll;

const ll mod=1000000007;
//----------------------------------------------------------------------------------------------------------------------------------------------//


int main(){
//	ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);

	ll n,ans=1,cnt=1;
	cin>>n;
	rep(i,0,n){
		ll a;
		cin>>a;
		if(a%2==0)
			cnt*=2;
		ans=(ans*3);
	}
	cout<<ans-cnt<<endl;
	return 0;
}