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.*;
import java.util.*;

class Solver {
  final ModCalculator mc;
  final int n;
  final char[] cs;
  
  public Solver(char[] cs) {
    this.mc = new ModCalculator(1_000_000_007L);
    this.n = cs.length;
    this.cs = cs;
  }
  
  public long solve() {
    long[] countAFromHead = new long[n];
    long[] countXFromHead = new long[n];
    long[] countCFromTail = new long[n];
    long[] countXFromTail = new long[n];
    
    countAFromHead[0] = 0;
    countXFromHead[0] = 0;
    for (int i = 1; i < n; i++) {
      countAFromHead[i] = countAFromHead[i-1];
      countXFromHead[i] = countXFromHead[i-1];
      switch (cs[i-1]) {
        case 'A':
          countAFromHead[i]++;
          break;
        case '?':
          countXFromHead[i]++;
          break;
      }
    }
    
    countCFromTail[n-1] = 0;
    countXFromTail[n-1] = 0;
    for (int i = n-2; i >= 0; i--) {
      countCFromTail[i] = countCFromTail[i+1];
      countXFromTail[i] = countXFromTail[i+1];
      switch (cs[i+1]) {
        case 'C':
          countCFromTail[i]++;
          break;
        case '?':
          countXFromTail[i]++;
          break;
      }
    }
    
    long answer = 0;
    for (int i = 0; i < n; i++) {
      switch (cs[i]) {
        case 'B':
        case '?':
          long v1 = mc.mul(mc.mul(countAFromHead[i], countCFromTail[i]), mc.pow(3, countXFromHead[i] + countXFromTail[i]));
          long v2 = mc.mul(mc.mul(countAFromHead[i], countXFromTail[i]), mc.pow(3, countXFromHead[i] + countXFromTail[i] - 1));
          long v3 = mc.mul(mc.mul(countXFromHead[i], countCFromTail[i]), mc.pow(3, countXFromHead[i] + countXFromTail[i] - 1));
          long v4 = mc.mul(mc.mul(countXFromHead[i], countXFromTail[i]), mc.pow(3, countXFromHead[i] + countXFromTail[i] - 2));
          answer = mc.add(answer, v1 + v2 + v3 + v4);
          break;
      }
    }
    return answer;
  }
}

public class Main {
  private static void execute(ContestReader reader, PrintWriter out) {
    String s = reader.next();
    out.println(new Solver(s.toCharArray()).solve());
  }
  
  public static void main(String[] args) {
    ContestReader reader = new ContestReader(System.in);
    PrintWriter out = new PrintWriter(System.out);
    execute(reader, out);
    out.flush();
  }
}

class ContestReader {
  private BufferedReader reader;
  private StringTokenizer tokenizer;
  
  ContestReader(InputStream in) {
    reader = new BufferedReader(new InputStreamReader(in));
  }
  
  public String next() {
    while (tokenizer == null || !tokenizer.hasMoreTokens()) {
      try {
        tokenizer = new java.util.StringTokenizer(reader.readLine());
      } catch (Exception e) {
        throw new RuntimeException(e);
      }
    }
    return tokenizer.nextToken();
  }
  
  public int nextInt() {
    return Integer.parseInt(next());
  }
  
  public long nextLong() {
    return Long.parseLong(next());
  }
  
  public double nextDouble() {
    return Double.parseDouble(next());
  }
  
  public String[] nextArray(int n) {
    String[] array = new String[n];
    for (int i = 0; i < n; i++) {
      array[i] = next();
    }
    return array;
  }
  
  public int[] nextIntArray(int n) {
    int[] array = new int[n];
    for (int i = 0; i < n; i++) {
      array[i] = nextInt();
    }
    return array;
  }
  
  public long[] nextLongArray(int n) {
    long[] array = new long[n];
    for (int i = 0; i < n; i++) {
      array[i] = nextLong();
    }
    return array;
  }
  
  public double[] nextDoubleArray(int n) {
    double[] array = new double[n];
    for (int i = 0; i < n; i++) {
      array[i] = nextDouble();
    }
    return array;
  }
  
  public int[][] nextIntMatrix(int n, int m) {
    int[][] matrix = new int[n][m];
    for (int i = 0; i < n; i++) {
      for (int j = 0; j < m; j++) {
        matrix[i][j] = nextInt();
      }
    }
    return matrix;
  }
  
  public long[][] nextLongMatrix(int n, int m) {
    long[][] matrix = new long[n][m];
    for (int i = 0; i < n; i++) {
      for (int j = 0; j < m; j++) {
        matrix[i][j] = nextLong();
      }
    }
    return matrix;
  }
  
  public double[][] nextDoubleMatrix(int n, int m) {
    double[][] matrix = new double[n][m];
    for (int i = 0; i < n; i++) {
      for (int j = 0; j < m; j++) {
        matrix[i][j] = nextDouble();
      }
    }
    return matrix;
  }
}

class ModCalculator {
  private final long mod;
  
  ModCalculator(long mod) {
    this.mod = mod;
  }
  
  public long add(long a, long b) {
    return (a + b) % mod;
  }
  
  public long mul(long a, long b) {
    return (a * b) % mod;
  }
  
  public long pow(long a, long b) {
    if (b == 0) {
      return 1;
    }
    long v = pow(mul(a, a), b / 2);
    if (b % 2 == 1) {
      return mul(v, a);
    } else {
      return v;
    }
  }
  
  public long inverse(long a) {
    return pow(a, mod - 2);
  }
  
  public long div(long a, long b) {
    return mul(a, inverse(b));
  }
}
 
class ModCombinationCache {
  private final ModCalculator modCalculator;
  private final long[] factorialCache;
  private final long[] factorialInverseCache;
  
  public ModCombinationCache(int n, ModCalculator modCalculator) {
    this.modCalculator = modCalculator;
    factorialCache = new long[n];
    factorialCache[0] = 1;
    for (int i = 1; i < n; i++) {
      factorialCache[i] = modCalculator.mul(factorialCache[i-1], i);
    }
    
    factorialInverseCache = new long[n];
    for (int i = 0; i < n; i++) {
      factorialInverseCache[i] = modCalculator.inverse(factorialCache[i]);
    }
  }
  
  public long getFactorial(int n) {
    return factorialCache[n];
  }
  
  public long getCombination(int n, int k) {
    return modCalculator.mul(factorialCache[n], modCalculator.mul(factorialInverseCache[k], factorialInverseCache[n-k]));
  }
}

class Algorithm {
  private static void swap(Object[] list, int a, int b) {
    Object tmp = list[a];
    list[a] = list[b];
    list[b] = tmp;
  }
  
  public static <T extends Comparable<? super T>> boolean nextPermutation(T[] ts) {
    int rightMostAscendingOrderIndex = ts.length - 2;
    while (rightMostAscendingOrderIndex >= 0 &&
        ts[rightMostAscendingOrderIndex].compareTo(ts[rightMostAscendingOrderIndex + 1]) >= 0) {
      rightMostAscendingOrderIndex--;
    }
    if (rightMostAscendingOrderIndex < 0) {
      return false;
    }
    
    int rightMostGreatorIndex = ts.length - 1;
    while (ts[rightMostAscendingOrderIndex].compareTo(ts[rightMostGreatorIndex]) >= 0) {
      rightMostGreatorIndex--;
    }
    
    swap(ts, rightMostAscendingOrderIndex, rightMostGreatorIndex);
    for (int i = 0; i < (ts.length - rightMostAscendingOrderIndex - 1) / 2; i++) {
      swap(ts, rightMostAscendingOrderIndex + 1 + i, ts.length - 1 - i);
    }
    return true;
  }
  
  public static void shuffle(int[] array) {
    Random random = new Random();
    int n = array.length;
    for (int i = 0; i < n; i++) {
      int randomIndex = i + random.nextInt(n - i);
      
      int temp = array[i];
      array[i] = array[randomIndex];
      array[randomIndex] = temp;
    }
  }
  
  public static void shuffle(long[] array) {
    Random random = new Random();
    int n = array.length;
    for (int i = 0; i < n; i++) {
      int randomIndex = i + random.nextInt(n - i);
      
      long temp = array[i];
      array[i] = array[randomIndex];
      array[randomIndex] = temp;
    }
  }
  
  public static void sort(int[] array) {
    shuffle(array);
    Arrays.sort(array);
  }
  
  public static void sort(long[] array) {
    shuffle(array);
    Arrays.sort(array);
  }
}

