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 * and open the template in the editor.
 */

package year_2012.qualification;

import java.io.BufferedReader;
import java.io.File;
import java.io.FileNotFoundException;
import java.io.FileReader;
import java.io.IOException;
import java.io.PrintWriter;
import java.util.HashSet;
import java.util.Set;

/**
 *
 * @author paul
 * @date 14 Apr 2012
 */
public class QuestionC {

    private static Set<Integer> getCycle(int x) {

        String s = Integer.toString(x);
        Set<Integer> set = new HashSet<Integer>();
        set.add(x);
        for (int c = 1; c < s.length(); c++) {
            String t = s.substring(c).concat(s.substring(0, c));
            set.add(Integer.parseInt(t));
        }
        return set;
        
    }

    private static Set<Integer> mask(Set<Integer> set, int a, int b) {
        Set<Integer> result = new HashSet<Integer>();

        for (int x : set) {
            if (x >= a && x <= b) {
                result.add(x);
            }
        }
        
        return result;

    }


    public static void main(String[] args) throws FileNotFoundException, IOException {

        String question = "C";

//        String name = "large";
        String name = "small-attempt0";
//        String name = "test";

        String filename = String.format("%s-%s", question, name);

        BufferedReader input = new BufferedReader(
                new FileReader(String.format("/home/paul/Documents/code-jam/2012/qualification/%s.in",
                filename)));

        String firstLine = input.readLine();

        PrintWriter pw = new PrintWriter(new File(
                String.format("/home/paul/Documents/code-jam/2012/qualification/%s.out", filename)));


        int T = Integer.parseInt(firstLine);

        // Loop through test cases.
        for (int i = 0; i < T; i++) {

//             Read data.
            String[] tokens = input.readLine().split(" ");

//            int N = Integer.parseInt(input.readLine());

            int A = Integer.parseInt(tokens[0]);
            int B = Integer.parseInt(tokens[1]);

//            System.out.format("%d, %d\n", A, B);

            boolean[] used = new boolean[B+1];
            int total = 0;
            for (int n = A; n <= B; n++) {
                if (!used[n]) {
                    Set<Integer> set = mask(getCycle(n), A, B);
                    int k = set.size();
                    total += (k * (k-1))/2;
                    for (int m : set) {
                        used[m] = true;
                    }
                }
            }

            pw.format("Case #%d: %d\n", i + 1, total);
        }

        pw.close();

    }

}

import java.io.*;
import java.util.*;

/**
 * @author: Ignat Alexeyenko
 * Date: 4/14/12
 */
public class RecycledNumbersMain {

    public static final int MAX_LENGTH = 80;

    public static void main(String[] args) {
        RecycledNumbersMain main = new RecycledNumbersMain();
        main.runConsoleApp(System.in, System.out);
    }

    public void runConsoleApp(InputStream inputStream, OutputStream outputStream) {
        final String s = readLn(inputStream, MAX_LENGTH);
        Integer cases = Integer.valueOf(s);
        Writer writer = new OutputStreamWriter(outputStream);
        for (int i= 0; i < cases; i++) {
            String edgesRaw = readLn(inputStream, MAX_LENGTH);
            String[] edgesArr = edgesRaw.split(" ");

            long low = Long.valueOf(edgesArr[0]);
            long hi = Long.valueOf(edgesArr[1]);
            try {
                writer.write("Case #" + (i + 1) + ": " + recycledNumbersInterval(low, hi) + "\n");
            } catch (IOException e) {
                throw new RuntimeException(e);
            }
        }
        try {
            writer.flush();
        } catch (IOException e) {
            throw new RuntimeException(e);
        }
    }

    long recycledNumbersInterval(final long low, final long hi) {
        Map<Long, Set<Long>> resultMap = recycledNumbersInternalCollection(low, hi);
        long counter = 0;
        
        for (Long num : resultMap.keySet()) {
            Set<Long> permutations = resultMap.get(num);
            if (permutations.size() > 0) {
                counter += permutations.size();
            }
        }
        
//        return resultMap.size();
        return counter;
    }

    Map<Long, Set<Long>> recycledNumbersInternalCollection(long low, long hi) {
        // number -> permutations
        Map<Long, Set<Long>> resultMap = new HashMap<Long, Set<Long>>(1024);

        long i = hi;
        while (i >= low) {

            Set<Long> permutations = permute(i, low, hi);
            resultMap.put(i, permutations);
            i--;
        }
        return resultMap;
    }

    Set<Long> permute(long number, final long low, final long hi) {
        if (number < 10) {
            return Collections.emptySet();
        }

        Set<Long> resultSet = new HashSet<Long>();
        
        // for input 1204 create a string 12041204
        String permBasic = "" + number + "" + number;
        final int numberSize = permBasic.length() / 2;
        // start from 1, as we don't want to include original to set of permutations
        for (int i = 1; i <= numberSize; i++) {
            String substring = permBasic.substring(i, i + numberSize);
            if (substring.startsWith("0")) {
                // skip trailing zeroes
                continue;
            }
            Long thePermutation = Long.valueOf(substring);
            if (thePermutation < number && (thePermutation >= low && thePermutation <= hi)) {
                resultSet.add(thePermutation);
            }
        }
        return resultSet;
    }


    private String readLn(InputStream inputStream, int maxLength) {  // utility function to read from stdin,
        // Provided by Programming-challenges, edit for style only
        byte line[] = new byte[maxLength];
        int length = 0;
        int input = -1;
        try {
            while (length < maxLength) {//Read untill maxlength
                input = inputStream.read();
                if ((input < 0) || (input == '\n')) break; //or untill end of line ninput
                line[length++] += input;
            }

            if ((input < 0) && (length == 0)) return null;  // eof
            return new String(line, 0, length);
        } catch (IOException e) {
            return null;
        }
    }
}
