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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.io.BufferedReader;
import java.io.IOException;
import java.io.PrintWriter;
import java.util.HashSet;
import java.util.Set;

class Factory implements TestCaseFactory {

	@Override
	public TestCase getInstance(int number) {
		return new RecycledNumbers(number);
	}
}

public class RecycledNumbers extends TestCase {

	int caseItem;

	int A;
	int B;

	int order;
	int power;

	int count;

	public RecycledNumbers(int caseItem) {
		this.caseItem = caseItem;
	}

	@Override
	public void readInput(BufferedReader in) throws IOException,
			MalformedInputFileException {
		final String str1 = in.readLine();
		final String[] tokens = str1.split("\\s");
		A = Integer.parseInt(tokens[0]);
		B = Integer.parseInt(tokens[1]);
	}

	private int pow(int x, int p) {
		int result = 1;
		for (int i = 0; i < p; i++) {
			result *= x;
		}
		return result;
	}

	private int shift(int x) {
		final int digit = x / power;
		final int remainder = x % power;
		return remainder * 10 + digit;
	}

	private int findNumberOfPairs(int x) {
		final Set<Integer> distint = new HashSet<Integer>();
		distint.add(x);
		int shifted = x;
		for (int i = 0; i < order; i++) {
			shifted = shift(shifted);
			if (shifted >= A && shifted < x) {
				return 0;	// we've already seen all these permutations
			} else if (shifted > x && shifted <= B) {
				distint.add(shifted);
			}
		}
		final int size = distint.size();
		return size * (size - 1) / 2;
	}

	@Override
	public void solve() {
		order = (int) Math.log10(A);
		power = pow(10, order);

		count = 0;
		for (int x = A; x < B; x++) {
			count += findNumberOfPairs(x);
		}
	}

	@Override
	public void writeOutput(PrintWriter out) {
		out.print("Case #" + (caseItem + 1) + ": ");
		out.print(count);
		out.print("\n");

	}

	public static void main(String[] args) throws IOException,
			MalformedInputFileException {
		new Processor().process(new Factory(), args[0], args[1]);
	}
}