/*
 * To change this template, choose Tools | Templates
 * 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.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.BitSet;
import java.util.HashMap;
import java.util.HashSet;

public class RecycledNumbers
{
    public static final byte ZERO = 0;
    public static final byte BASE_TEN = 10;

    static BufferedReader IN = new BufferedReader(new InputStreamReader(System.in));
    static HashSet<Integer> numbers = new HashSet<Integer>();
    static BitSet numberBitmap = new BitSet(10000000);

    /**
     * @param args
     * @throws IOException
     * @throws NumberFormatException
     */
    public static void main(String[] args) throws NumberFormatException, IOException
    {
        int testCaseCount;
        try
        {
            String input = IN.readLine();
            testCaseCount = Integer.parseInt(input);
        }
        catch (Exception e)
        {
            testCaseCount = 0;
        }

        if (testCaseCount > 0)
        {
            long start = System.currentTimeMillis();
            
            int[][] minMax = new int[testCaseCount][3]; 
            for (int i = 0; i < testCaseCount; i++)
            {
                String[] values = IN.readLine().split(" ");
                minMax[i][0] = Integer.parseInt(values[0]);
                minMax[i][1] = Integer.parseInt(values[1]);
            }
            for (int i = 0; i < testCaseCount; i++)
            {
                minMax[i][2] = findRecycledPairsCount(minMax[i][0], minMax[i][1]);
                printLn("Case #%d: %d", i + 1, minMax[i][2]);
            }

            long end = System.currentTimeMillis();
            //System.err.println((end - start));
        }
    }
    
    static int findRecycledPairsCount(int min, int max) throws NumberFormatException, IOException
    {
        HashMap<Integer, Byte> duplicateMap = new HashMap<Integer, Byte>();

        int digitCount = getNumberOfDigits(min);

        numberBitmap.clear();
        for (int number = min; number <= max; number++)
        {
            if (!numberBitmap.get(number))
            {
                RotatedNumbers rNumber = getRotatedNumbersInRange(number, digitCount, min, max);
                if (rNumber.count > 1)
                {
                    duplicateMap.put(rNumber.minimum, rNumber.count);
                }
            }
        }

        int count = 0;
        for (Byte b : duplicateMap.values())
        {
            if (b > 1)
            {
                count += b == 2 ? 1 : getNC2(b);
            }
        }

        return count;
    }

    static int getNC2(int n)
    {
        return (int) ((n / 2.0) * (n - 1));
    }

    static int getNumberOfDigits(int number)
    {
        int digitCount = 0;
        while (number > 0)
        {
            digitCount++;
            number /= 10;
        }
        return digitCount;
    }

    public static RotatedNumbers getRotatedNumbersInRange(int number, int digitCount, int min, int max)
    {
        int index = digitCount - 1;
        int[] digits = new int[digitCount];
        int temp = number;

        while (temp > 0)
        {
            digits[index--] = temp % 10;
            temp /= 10;
        }

        int minVal = number;
        numbers.clear();
        for (int start = 0; start < digitCount; start++)
        {
            int numVal = 0;
            for (int j = 0; j < digitCount; j++)
            {
                int digit = digits[(start + j) % digitCount];
                numVal *= 10;
                numVal += digit;
            }
            numberBitmap.set(numVal);
            if (numVal >= min && numVal <= max)
            {
                numbers.add(numVal);
            }
            if (numVal < minVal)
            {
                minVal = numVal;
            }
        }

        return new RotatedNumbers(minVal, (byte) numbers.size());        
    }
    
    //  to ensure that '\n' is used as EOL on my Windows Machine, just to be sure ;)
    //
    static void printLn(String val)
    {
        System.out.print(val);
        System.out.print('\n');
    }
    static void printLn(String format, Object ... args)
    {
        System.out.print(String.format(format, args));
        System.out.print('\n');
    }
    

    static class RotatedNumbers
    {
        public RotatedNumbers(int minimum, byte count)
        {
            this.minimum = minimum;
            this.count = count;
        }

        int minimum;
        byte count;
    }
}
