The ABC number of a string T is the number of triples of integers (i, j, k) that satisfy all of the following conditions:

* 1 ≤ i < j < k ≤ |T| (|T| is the length of T.)
* T_i = `A` (T_i is the i-th character of T from the beginning.)
* T_j = `B`
* T_k = `C`



For example, when T = `ABCBC`, there are three triples of integers (i, j, k) that satisfy the conditions: (1, 2, 3), (1, 2, 5), (1, 4, 5). Thus, the ABC number of T is 3.

You are given a string S. Each character of S is `A`, `B`, `C` or `?`.

Let Q be the number of occurrences of `?` in S. We can make 3^Q strings by replacing each occurrence of `?` in S with `A`, `B` or `C`. Find the sum of the ABC numbers of all these strings.

This sum can be extremely large, so print the sum modulo 10^9 + 7.

Constraints

* 3 ≤ |S| ≤ 10^5
* Each character of S is `A`, `B`, `C` or `?`.

Input

Input is given from Standard Input in the following format:


S


Output

Print the sum of the ABC numbers of all the 3^Q strings, modulo 10^9 + 7.

Examples

Input

A??C


Output

8


Input

ABCBC


Output

3


Input

????C?????B??????A???????


Output

979596887
import java.util.*;

public class Main {
    private static final char ABC[] = "ABC".toCharArray();
    private static final long MOD = 1_000_000_007L;

    public void main(Scanner sc) throws Exception {
        char s[] = sc.next().toCharArray();
        sc.close();

        int len = s.length;
        long data[][] = new long[len + 1][4];

        data[len][3] = 1;
        for (int i = len - 1; i >= 0; i--) {
            data[i][3] = (s[i] == '?' ? 3 : 1) * data[i + 1][3];
            data[i][3] %= MOD;
        }

        for (int i = len - 1; i >= 0; i--) {
            for (int j = 2; j >= 0; j--) {
                data[i][j] =
                    (s[i] == '?' ? 3 : 1) * data[i + 1][j]
                        + (s[i] == ABC[j] || s[i] == '?' ? 1 : 0) * data[i + 1][j + 1];
                data[i][j] %= MOD;
            }
        }

        System.out.println(data[0][0] % MOD);
    }

    public static void main(String[] args) throws Exception {
        Scanner sc = new Scanner(System.in);
        new Main().main(sc);
    }
}
