Let's call left cyclic shift of some string t_1 t_2 t_3 ... t_{n - 1} t_n as string t_2 t_3 ... t_{n - 1} t_n t_1.

Analogically, let's call right cyclic shift of string t as string t_n t_1 t_2 t_3 ... t_{n - 1}.

Let's say string t is good if its left cyclic shift is equal to its right cyclic shift.

You are given string s which consists of digits 0–9.

What is the minimum number of characters you need to erase from s to make it good?

Input

The first line contains single integer t (1 ≤ t ≤ 1000) — the number of test cases.

Next t lines contains test cases — one per line. The first and only line of each test case contains string s (2 ≤ |s| ≤ 2 ⋅ 10^5). Each character s_i is digit 0–9.

It's guaranteed that the total length of strings doesn't exceed 2 ⋅ 10^5.

Output

For each test case, print the minimum number of characters you need to erase from s to make it good.

Example

Input


3
95831
100120013
252525252525


Output


3
5
0

Note

In the first test case, you can erase any 3 characters, for example, the 1-st, the 3-rd, and the 4-th. You'll get string 51 and it is good.

In the second test case, we can erase all characters except 0: the remaining string is 0000 and it's good.

In the third test case, the given string s is already good.
import java.io.*;
import java.util.*;
import java.util.function.Function;
import java.util.stream.Collectors;


public class Main {

    void solve() {
        String t = in.nextLine();
        int ans = 0;
        for (int i = 0; i < 10; i++) {
            for (int j = 0; j < 10; j++) {
                int count = 0;
                char[] find = {(char) ('0' + i), (char) ('0' + j)};
                int inx = 0;
                for (int k = 0; k < t.length(); k++) {
                    if (t.charAt(k) == find[inx]) {
                        count++;
                        inx ^= 1;
                    }
                }
                if (count%2==1) count--;
                ans = Math.max(ans, count);
            }
        }
        Map<Integer, Long> a = t.chars().boxed().collect(Collectors.groupingBy(Function.identity(), Collectors.counting()));
        int tmp = a.values().stream().mapToInt(Math::toIntExact).max().orElse(0);
        ans = Math.max(ans, tmp);

        out.println(t.length() - ans);
    }

    static final boolean MULTI_TEST = true;

    // --------------------------------------------------------------------------------------------------------------
    // --------------------------------------------------HELPER------------------------------------------------------
    // --------------------------------------------------------------------------------------------------------------


    void run() {
        if (MULTI_TEST) {
            int t = in.nextInt();
            for (int i = 0; i < t; i++) {
                solve();
            }
        } else {
            solve();
        }
    }

    // --------------------ALGORITHM-------------------------

    public void sort(int[] arr) {
        List<Integer> tmp = Arrays.stream(arr).boxed().sorted().collect(Collectors.toList());
        for (int i = 0; i < arr.length; i++) {
            arr[i] = tmp.get(i);
        }
    }

    // --------------------SCANNER-------------------------
    public static class MyScanner {
        BufferedReader br;
        StringTokenizer st;

        public MyScanner(String fileName) {
            if (fileName != null) {
                try {
                    br = new BufferedReader(new FileReader(fileName));
                } catch (FileNotFoundException e) {
                    throw new RuntimeException(e);
                }
            } else {
                br = new BufferedReader(new InputStreamReader(System.in));
            }
        }

        String next() {
            while (st == null || !st.hasMoreElements()) {
                st = new StringTokenizer(nextLine());
            }
            return st.nextToken();
        }

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

        int[] nextInts(int n) {
            int[] arr = new int[n];
            for (int i = 0; i < n; i++) {
                arr[i] = nextInt();
            }
            return arr;
        }

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

        public long[] nextLongs(int n) {
            long[] arr = new long[n];
            for (int i = 0; i < n; i++) {
                arr[i] = nextLong();
            }
            return arr;
        }

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

        String nextLine() {
            try {
                String line = br.readLine();
                if (line == null) {
                    throw new RuntimeException("empty line");
                }
                return line;
            } catch (IOException e) {
                throw new RuntimeException(e);
            }
        }

    }

    // --------------------WRITER-------------------------
    public static class MyWriter extends PrintWriter {

        public static MyWriter of(String fileName) {
            if (fileName != null) {
                try {
                    return new MyWriter(new FileWriter(fileName));
                } catch (IOException e) {
                    throw new RuntimeException(e);
                }
            } else {
                return new MyWriter(new BufferedOutputStream(System.out));
            }
        }

        public MyWriter(FileWriter fileWriter) {
            super(fileWriter);
        }

        public MyWriter(OutputStream out) {
            super(out);
        }

        void println(int[] arr) {
            String line = Arrays.stream(arr).mapToObj(String::valueOf).collect(Collectors.joining(" "));
            println(line);
        }

    }
    // --------------------MAIN-------------------------

    public MyScanner in;
    public MyWriter out;

    /**
     * run as `java Main`, `java Main input.txt' or `java Main input.txt output.txt'
     * add `-Xss256m` to increase stack size
     */
    public static void main(String[] args) {
        Main m = new Main();
        m.in = new MyScanner(args.length > 0 ? args[0] : null);
        m.out = MyWriter.of(args.length > 1 ? args[1] : null);
        m.run();
        m.out.close();
    }
}
