package jp.funnything.competition.util;

import java.io.BufferedReader;
import java.io.File;
import java.io.FileNotFoundException;
import java.io.FileReader;
import java.io.IOException;
import java.math.BigDecimal;
import java.math.BigInteger;

import org.apache.commons.io.IOUtils;

public class QuestionReader {
    private final BufferedReader _reader;

    public QuestionReader( final File input ) {
        try {
            _reader = new BufferedReader( new FileReader( input ) );
        } catch ( final FileNotFoundException e ) {
            throw new RuntimeException( e );
        }
    }

    public void close() {
        IOUtils.closeQuietly( _reader );
    }

    public String read() {
        try {
            return _reader.readLine();
        } catch ( final IOException e ) {
            throw new RuntimeException( e );
        }
    }

    public BigDecimal[] readBigDecimals() {
        return readBigDecimals( " " );
    }

    public BigDecimal[] readBigDecimals( final String separator ) {
        final String[] tokens = readTokens( separator );

        final BigDecimal[] values = new BigDecimal[ tokens.length ];
        for ( int index = 0 ; index < tokens.length ; index++ ) {
            values[ index ] = new BigDecimal( tokens[ index ] );
        }

        return values;
    }

    public BigInteger[] readBigInts() {
        return readBigInts( " " );
    }

    public BigInteger[] readBigInts( final String separator ) {
        final String[] tokens = readTokens( separator );

        final BigInteger[] values = new BigInteger[ tokens.length ];
        for ( int index = 0 ; index < tokens.length ; index++ ) {
            values[ index ] = new BigInteger( tokens[ index ] );
        }

        return values;
    }

    public int readInt() {
        final int[] values = readInts();

        if ( values.length != 1 ) {
            throw new IllegalStateException( "Try to read single interger, but the line contains zero or multiple values" );
        }

        return values[ 0 ];
    }

    public int[] readInts() {
        return readInts( " " );
    }

    public int[] readInts( final String separator ) {
        final String[] tokens = readTokens( separator );

        final int[] values = new int[ tokens.length ];
        for ( int index = 0 ; index < tokens.length ; index++ ) {
            values[ index ] = Integer.parseInt( tokens[ index ] );
        }

        return values;
    }

    public long readLong() {
        final long[] values = readLongs();

        if ( values.length != 1 ) {
            throw new IllegalStateException( "Try to read single interger, but the line contains zero or multiple values" );
        }

        return values[ 0 ];
    }

    public long[] readLongs() {
        return readLongs( " " );
    }

    public long[] readLongs( final String separator ) {
        final String[] tokens = readTokens( separator );

        final long[] values = new long[ tokens.length ];
        for ( int index = 0 ; index < tokens.length ; index++ ) {
            values[ index ] = Long.parseLong( tokens[ index ] );
        }

        return values;
    }

    public String[] readTokens() {
        return readTokens( " " );
    }

    public String[] readTokens( final String separator ) {
        return read().split( separator );
    }
}

package codejam;

import java.io.BufferedReader;
import java.io.BufferedWriter;
import java.io.FileReader;
import java.io.FileWriter;

/*
 import lib.tuple.Pair;
 import lib.tuple.Tuple;
 import lib.util.StringUtil;
 */

public class CodeJam2012RQC {

  static final String fileIn = "/Users/jhorwitz/Documents/workspace/test/src/codejam/data/RQ-C-in.txt"; //"data/in.txt";
  static final String fileOut = "/Users/jhorwitz/Documents/workspace/test/src/codejam/data/RQ-C-out.txt"; //"data/out.txt";

  public static void main(String[] args) throws Exception {
    BufferedReader r = new BufferedReader(new FileReader(fileIn));
    BufferedWriter w = new BufferedWriter(new FileWriter(fileOut));
    String line = r.readLine();
    int T = Integer.parseInt(line);
    for (int caseNum = 1; caseNum <= T; caseNum++) {
      line = r.readLine();
      String str = "Case #" + caseNum + ": " + solve(line);
      w.write(str + "\n");
      System.out.println(str);
    }
    w.close();
    r.close();
  }

  private static int solve(String line) {
    String[] stringVerOfAAndB = line.split(" ");
    int A = Integer.parseInt(stringVerOfAAndB[0]);
    int B = Integer.parseInt(stringVerOfAAndB[1]);
    int digits = stringVerOfAAndB[0].length(); // == stringVerOfAAndB[1] (guaranteed by GCJ)
    int numRecycledPairsTimesTwo = 0; // each pair will be counted twice--we then simply divide by 2 in the end
    int rotatedNum;

    for (int curNum=A; curNum<=B; ++curNum) {
      for (int rot=1; rot<=digits; ++rot) {
        rotatedNum = rotate(curNum, rot, digits);
        if (A<=rotatedNum && rotatedNum<=B && isFirstSuchRotation(curNum,rotatedNum,rot,digits)) {
          ++numRecycledPairsTimesTwo;
        }
      }
    }
    return numRecycledPairsTimesTwo/2;
  }

  private static boolean isFirstSuchRotation(int numToRotate, int rotatedNum, int rot1, int digits) {
    for (int rot2=0; rot2<rot1; ++rot2) {
      if (rotatedNum == rotate(numToRotate, rot2, digits)) {
        return false;
      }
    }
    return true;
  }
  
  private static int rotate(int numToRotate, int rot, int digits) {
    char[] startString = Integer.toString(numToRotate).toCharArray();
    char[] endString = new char[digits];
    int indexIntoStartString;

    for (int i=0; i<digits; ++i) {
      indexIntoStartString = (i-rot) % digits;
      if (indexIntoStartString < 0) { // "%" isn't quite "mod"--silly negative cases
        indexIntoStartString += digits;
      }
      endString[i] = startString[indexIntoStartString];
    }

    return Integer.parseInt(new String(endString));
  }
}