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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.util.*;

public class RecycledNumbers {
    private final int A;
    private final int B;
    private final boolean[] allNumbers;

    public RecycledNumbers(int A, int B) {
        this.A = A;
        this.B = B;
        //numbers are A + i, where i is the array index
        allNumbers = new boolean[B - A + 1];
    }

    public int getDistinctPairsCount() {
        int distinctPairs = 0;
        for (int i = 0; i < allNumbers.length; i++) {
            if (!allNumbers[i]) {
                int number = indexToNumber(i);
                Set<String> recyclings = (number > 9) ? getRecyclings(number) : Collections.<String>emptySet();
                if (!recyclings.isEmpty()) ignore(recyclings);
                int numberOfDistinctPairs = recyclings.isEmpty() ? 0 : getNumberOfDistinctPairs(recyclings);
                distinctPairs += numberOfDistinctPairs;
            }
        }
        return distinctPairs;
    }

    private int getNumberOfDistinctPairs(Set<String> recyclings) {
        int recyclingsThatCount = 0;
        for (String s : recyclings) {
            int number = Integer.parseInt(s);
            if (withinBounds(number) && doesntStartWithZero(s))
                recyclingsThatCount++;
        }

        int pairs = recyclingsThatCount * (recyclingsThatCount - 1) / 2;
        return pairs;
    }

    private boolean doesntStartWithZero(String s) {
        boolean result = s.charAt(0) != '0';
        return result;
    }

    private boolean withinBounds(int number) {
        boolean result = number >= A && number <= B;
        return result;
    }

    private void ignore(Set<String> recyclings) {
        //set them to true in the array
        for (String s : recyclings) {
            int number = Integer.parseInt(s);
            if (withinBounds(number))
                allNumbers[numberToIndex(number)] = true;
        }
    }

    private int numberToIndex(int number) {
        return number - A;
    }

    private int indexToNumber(int i) {
        return i + A;
    }

    private Set<String> getRecyclings(int number) {
        String numberAsString = Integer.toString(number);
        int totalDigits = numberAsString.length();
        Set recyclings = new HashSet<String>();
        for (int i = totalDigits - 1; i >= 0; i--) {
            recyclings.add(numberAsString.substring(i, totalDigits) + numberAsString.substring(0, i));
        }
        return recyclings;
    }


}
