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.

Examples

Input

2
2 3


Output

7


Input

3
3 3 3


Output

26


Input

1
100


Output

1


Input

10
90 52 56 71 44 8 13 30 57 84


Output

58921
import java.io.PrintWriter;
import java.util.*;


public class Main {
    public static void main(String[] args) {
        PrintWriter out = new PrintWriter(System.out);
        Scanner sc = new Scanner(System.in);
        Task task = new Task();
        task.solve(sc, out);
        out.flush();
        sc.close();
    }

    static class Task {
        void solve(Scanner sc, PrintWriter out) {
            int N = nint(sc);
            List<Integer> aList = getIntegerList(sc, N);
            int ans = (int) Math.pow(3, N);
            long even = aList.stream().filter(e -> e % 2 == 0).count();
            out.println(ans - (int) Math.pow(2, even));

        }
    }


    static int nint(Scanner sc) {


        return Integer.parseInt(sc.next());
    }

    static long nlong(Scanner sc) {
        return Long.parseLong(sc.next());
    }

    static double ndouble(Scanner sc) {
        return Double.parseDouble(sc.next());
    }

    static float nfloat(Scanner sc) {
        return Float.parseFloat(sc.next());
    }

    static String nstr(Scanner sc) {
        return sc.next();
    }

    static long[] longLine(Scanner sc, int size) {
        long[] lLine = new long[size];
        for (int i = 0; i < size; i++) {
            lLine[i] = nlong(sc);
        }
        return lLine;
    }

    static int[] intLine(Scanner sc, int size) {
        int[] iLine = new int[size];
        for (int i = 0; i < size; i++) {
            iLine[i] = nint(sc);
        }
        return iLine;
    }

    static String[] strLine(Scanner sc, int size) {
        String[] strLine = new String[size];
        for (int i = 0; i < size; i++) {
            strLine[i] = nstr(sc);
        }
        return strLine;
    }

    static long maxFromList(List<Long> longList) {
        return longList.stream().max(Comparator.naturalOrder()).get();
    }

    static long minFromList(List<Long> longList) {
        return longList.stream().min(Comparator.naturalOrder()).get();
    }

    public static int sumDigits(int n) {
        int sum = 0;
        while (n != 0) {
            sum += n % 10;
            n /= 10;
        }
        return sum;
    }

    public static long sumDigits(long n) {
        long sum = 0;
        while (n != 0) {
            sum += n % 10;
            n /= 10;
        }
        return sum;
    }

    static List<Integer> getIntegerList(Scanner sc, int size) {
        List<Integer> list = new ArrayList<>();
        for (int i = 0; i < size; i++) {
            list.add(nint(sc));
        }
        return list;
    }

    static List<Long> getLongList(Scanner sc, int size) {
        List<Long> list = new ArrayList<>();
        for (int i = 0; i < size; i++) {
            list.add(nlong(sc));
        }
        return list;
    }

    static List<String> getStringList(Scanner sc, int size) {
        List<String> stringList = new ArrayList<>();
        for (int i = 0; i < size; i++) {
            stringList.add(nstr(sc));
        }
        return stringList;
    }

    private static long lcm(long a, long b) {
        return a * b / gcd(b, a % b);
    }

    private static long gcd(long a, long b) {
        return b == 0 ? a : gcd(b, a % b);
    }

    private static Map<Integer, Integer> primeFactorize(long num) {
        Map<Integer, Integer> map = new HashMap<>();
        int i = 2;
        while (i * i <= num) {
            while (num % i == 0) {
                num /= i;
                if (map.containsKey(i)) {
                    int tmp = map.get(i);
                    tmp++;
                    map.put(i, tmp);
                } else {
                    map.put(i, 1);
                }
            }
            i++;
        }
        if (num > 1)
            map.put((int) num, 1);
        return map;
    }

    /**
     * Returns the most frequent value in the list. リスト内で最頻出数値を返します。
     *
     * @param list List
     * @return most frequent value
     */
    private static Integer getMode(List<Integer> list) {
        if (list.size() <= 0) {
            throw new IllegalArgumentException();
        }

        Map<Integer, Integer> modeMap = new HashMap<>();

        for (Integer x : list) {
            if (modeMap.containsKey(x)) {
                modeMap.put(x, modeMap.get(x) + 1);
            } else {
                modeMap.put(x, 1);
            }
        }
        return modeMap.entrySet().stream()
                .max(Map.Entry.comparingByValue())
                .get()
                .getKey();

    }
}

