Problem: Sherlock Holmes found a mysterious correspondence of two VIPs and made up his mind to read it. But there is a problem! The correspondence turned out to be encrypted. The detective tried really hard to decipher the correspondence, but he couldn't understand anything. 

At last, after some thought, he thought of something. Let's say there is a word s, consisting of |s| lowercase Latin letters. Then for one operation you can choose a certain position p (1 ≤ p < |s|) and perform one of the following actions: 

  * either replace letter sp with the one that alphabetically follows it and replace letter sp + 1 with the one that alphabetically precedes it; 
  * or replace letter sp with the one that alphabetically precedes it and replace letter sp + 1 with the one that alphabetically follows it. 



Let us note that letter "z" doesn't have a defined following letter and letter "a" doesn't have a defined preceding letter. That's why the corresponding changes are not acceptable. If the operation requires performing at least one unacceptable change, then such operation cannot be performed.

Two words coincide in their meaning iff one of them can be transformed into the other one as a result of zero or more operations.

Sherlock Holmes needs to learn to quickly determine the following for each word: how many words can exist that coincide in their meaning with the given word, but differs from the given word in at least one character? Count this number for him modulo 1000000007 (109 + 7).

Input

The input data contains several tests. The first line contains the only integer t (1 ≤ t ≤ 104) — the number of tests.

Next t lines contain the words, one per line. Each word consists of lowercase Latin letters and has length from 1 to 100, inclusive. Lengths of words can differ.

Output

For each word you should print the number of different other words that coincide with it in their meaning — not from the words listed in the input data, but from all possible words. As the sought number can be very large, print its value modulo 1000000007 (109 + 7).

Examples

Input

1
ab


Output

1


Input

1
aaaaaaaaaaa


Output

0


Input

2
ya
klmbfxzb


Output

24
320092793

Note

Some explanations about the operation:

  * Note that for each letter, we can clearly define the letter that follows it. Letter "b" alphabetically follows letter "a", letter "c" follows letter "b", ..., "z" follows letter "y". 
  * Preceding letters are defined in the similar manner: letter "y" precedes letter "z", ..., "a" precedes letter "b". 
  * Note that the operation never changes a word's length. 



In the first sample you can obtain the only other word "ba". In the second sample you cannot obtain any other word, so the correct answer is 0.

Consider the third sample. One operation can transform word "klmbfxzb" into word "klmcexzb": we should choose p = 4, and replace the fourth letter with the following one ("b"  →  "c"), and the fifth one — with the preceding one ("f"  →  "e"). Also, we can obtain many other words from this one. An operation can transform word "ya" only into one other word "xb". 

Word "ya" coincides in its meaning with words "xb", "wc", "vd", ..., "ay" (overall there are 24 other words). The word "klmbfxzb has many more variants — there are 3320092814 other words that coincide with in the meaning. So the answer for the first word equals 24 and for the second one equals 320092793 — the number 3320092814 modulo 109 + 7

Solution (in JAVA):

Solution:
import java.io.*;
import static java.lang.Math.*;
import java.util.*;
import java.util.function.*;
import java.lang.*;

public class Main {
    final static boolean debug = false;
    final static String fileName = "";
    final static boolean useFiles = false;

    public static void main(String[] args) throws FileNotFoundException {
        long start;
        if (debug)
            start = System.nanoTime();
        InputStream inputStream;
        OutputStream outputStream;
        if (useFiles) {
            inputStream = new FileInputStream(fileName + ".in");
            outputStream = new FileOutputStream(fileName + ".out");
        } else {
            inputStream = System.in;
            outputStream = System.out;
        }
        InputReader in = new InputReader(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        Task solver = new Task(in, out);
        solver.solve();
        if(debug)
            out.println((System.nanoTime() - start) / 1e+9);
        out.close();
    }
}

class QueueMin {
    class Pair {
        Pair(int x, int y) {
            X = x;
            Y = y;
        }

        int X, Y;
    }

    Stack<Pair> head = new Stack<>();
    Stack<Pair> tail = new Stack<>();
    BinaryOperator<Integer> operator;

    QueueMin(BinaryOperator<Integer> operator) {
        this.operator = operator;
    }

    private void add(Stack<Pair> s, int x) {
        if (head.isEmpty())
            head.push(new Pair(x, x));
        else {
            head.push(new Pair(operator.apply(head.peek().X, x), x));
        }
    }

    int pop() {
        if (tail.isEmpty()) {
            while (!head.isEmpty()) {
                Pair p = head.pop();
                add(tail, p.Y);
            }
        }
        return tail.pop().Y;
    }

    int getMin() {
        if (head.isEmpty())
            return tail.peek().Y;
        if (tail.isEmpty())
            return head.peek().Y;
        return operator.apply(head.peek().Y, tail.peek().Y);
    }

    void push(int x) {
        add(head, x);
    }
}

class Task {
    public void solve() {
        final int mod = (int) (1e9 + 7);
        int maxN = 100;
        int liter = 25;
        int[][] d = new int[maxN + 1][liter * maxN + 1];
        d[0][0] = 1;
        for (int i = 1; i <= maxN; i++) {
            for (int sum = 0; sum <= liter * i; sum++) {
                for (int c = 0; c <= liter; c++) {
                    if (sum - c >= 0) {
                        d[i][sum] += d[i - 1][sum - c];
                        if (d[i][sum] >= mod) {
                            d[i][sum] -= mod;
                        }
                    }
                }
            }
        }
        int t = in.nextInt();
        for (int i = 0; i < t; i++) {
            String s = in.next();
            int sum = 0;
            for (int j = 0; j < s.length(); j++) {
                sum += s.charAt(j) - 'a';
            }
            out.println((d[s.length()][sum] - 1 + mod) % mod);
        }
    }

    private InputReader in;
    private PrintWriter out;

    Task(InputReader in, PrintWriter out) {
        this.in = in;
        this.out = out;
    }
}

class InputReader {
    public BufferedReader reader;
    public StringTokenizer tokenizer;

    public InputReader(InputStream stream) {
        reader = new BufferedReader(new InputStreamReader(stream), 32768);
        tokenizer = null;
    }

    public String next() {
        while (tokenizer == null || !tokenizer.hasMoreTokens()) {
            try {
                tokenizer = new StringTokenizer(reader.readLine());
            } catch (IOException e) {
                throw new RuntimeException(e);
            }
        }
        return tokenizer.nextToken();
    }

    public double nextDouble(){
        return Double.parseDouble(next());
    }

    public int nextInt() {
        return Integer.parseInt(next());
    }

    public long nextLong(){
        return Long.parseLong(next());
    }

    public byte nextByte(){
        return Byte.parseByte(next());
    }
}