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.io.IOException;
import java.io.InputStream;
import java.util.NoSuchElementException;

public class Main {
	private static int mod = 1_000_000_007;

	public static void main(String[] args){
		FastScanner sc = new FastScanner();
		char[] S = sc.next().toCharArray();
		int len = S.length;
		long aPettern= 0;
		long abPettern = 0;
		long abcPettern = 0;
		long multiPet = 1;
		for(int i=0;i<len;i++){
			switch (S[i]) {
			//Aは?での分岐パターンのみ追加
				case 'A': aPettern += multiPet; break;
				//BはAのパターンの数だけ追加
				case 'B': abPettern += aPettern; break;
				//CはABのパターンの数だけ追加
				case 'C': abcPettern += abPettern; break;
				/**
				 * abcが既に存在しているとした場合、abcPetternを3倍(abcのいずれかを選択)、
				 * ?をCとする場合を考慮して、abcPetternにabPetternを追加
				 *
				 * 同様にabが既に存在するとした場合、abPetternを3倍、
				 * abPetternにaPetternを追加
				 */
				case '?':{
					abcPettern = abcPettern * 3 + abPettern;
					abPettern = abPettern * 3 + aPettern;
					aPettern = aPettern * 3 + multiPet;
					multiPet *= 3;
					break;
				}
			}
			if(multiPet > mod) multiPet %= mod;
			if(aPettern > mod) aPettern %= mod;
			if(abPettern > mod) abPettern %= mod;
			if(abcPettern > mod) abcPettern %= mod;
		}
		System.out.println(abcPettern);
	}
}

class FastScanner {
    private final InputStream in = System.in;
    private final byte[] buffer = new byte[1024];
    private int ptr = 0;
    private int buflen = 0;
    private boolean hasNextByte() {
        if (ptr < buflen) {
            return true;
        }else{
            ptr = 0;
            try {
                buflen = in.read(buffer);
            } catch (IOException e) {
                e.printStackTrace();
            }
            if (buflen <= 0) {
                return false;
            }
        }
        return true;
    }
    private int readByte() { if (hasNextByte()) return buffer[ptr++]; else return -1;}
    private static boolean isPrintableChar(int c) { return 33 <= c && c <= 126;}
    public boolean hasNext() { while(hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++; return hasNextByte();}
    public String next() {
        if (!hasNext()) throw new NoSuchElementException();
        StringBuilder sb = new StringBuilder();
        int b = readByte();
        while(isPrintableChar(b)) {
            sb.appendCodePoint(b);
            b = readByte();
        }
        return sb.toString();
    }
    public long nextLong() {
        if (!hasNext()) throw new NoSuchElementException();
        long n = 0;
        boolean minus = false;
        int b = readByte();
        if (b == '-') {
            minus = true;
            b = readByte();
        }
        if (b < '0' || '9' < b) {
            throw new NumberFormatException();
        }
        while(true){
            if ('0' <= b && b <= '9') {
                n *= 10;
                n += b - '0';
            }else if(b == -1 || !isPrintableChar(b)){
                return minus ? -n : n;
            }else{
                throw new NumberFormatException();
            }
            b = readByte();
        }
    }
    public int nextInt() {
        long nl = nextLong();
        if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE) throw new NumberFormatException();
        return (int) nl;
    }
    public double nextDouble() { return Double.parseDouble(next());}
}
