package it.simone.google.code.jam2012;

import java.util.HashSet;
import java.util.Set;

public class RecycledNumber implements GoogleCodeExercise {

	int a = 0;
	int b = 0;
	Set<Couple> distinctCouple = null;
	long maxTime = 0;

	private class Couple {
		int x = 0;
		int y = 0;

		public Couple(int x, int y) {
			this.x = x;
			this.y = y;
		}

		@Override
		public int hashCode() {
			final int prime = 31;
			int result = 1;
			result = prime * result + getOuterType().hashCode();
			result = prime * result + x;
			result = prime * result + y;
			return result;
		}

		@Override
		public boolean equals(Object obj) {
			if (this == obj)
				return true;
			if (obj == null)
				return false;
			if (getClass() != obj.getClass())
				return false;
			Couple other = (Couple) obj;
			if (!getOuterType().equals(other.getOuterType()))
				return false;
			if (x == other.x && y == other.y)
				return true;
			if (x == other.y && y == other.x)
				return true;
			return false;
		}

		private RecycledNumber getOuterType() {
			return RecycledNumber.this;
		}

	}

	@Override
	public String execute(String line) {
		int result = 0;

		String[] data = line.split(" ");
		a = Integer.parseInt(data[0]);
		b = Integer.parseInt(data[1]);
		initialize();

		int n = a;
		//
		while (n <= b) {
			result += analize(n);
			n++;
//			if (n % 1000 == 0)
//				System.out.println(n);
		}

		System.out.println(result);
		return "" + result;
	}

	@Override
	public void initialize() {
		distinctCouple = new HashSet<Couple>();
	}

	private int analize(int number) {
		String numString = "" + number;
		initialize();
		for (int i = 1; i < numString.length(); i++) {
			int m = shift(numString, i);
			if (a <= number && number < m && m <= b) {
				Couple couple=new Couple(number,m);
				if (!distinctCouple.contains(couple))
					distinctCouple.add(couple);
			}
		}
		return distinctCouple.size();
	}

	private int shift(String numString, int posx) {

		String result = null;
		result = "" + numString.substring(posx) + numString.substring(0, posx);

		return Integer.parseInt(result.toString());
	}

}

package codezam.util;

import java.io.File;
import java.io.FileNotFoundException;
import java.io.PrintWriter;
import java.math.BigInteger;
import java.util.Arrays;
import java.util.HashMap;
import java.util.Scanner;
 
 
public class LCM {
        static HashMap<Long, Integer> factor;
        static BigInteger[][] dp;
        static long l;
        public static void main(String[] args) throws FileNotFoundException {
                Scanner r = new Scanner(System.in);
                int T = r.nextInt();
               
                while(T-- > 0){
                        int n = r.nextInt();
                        l = r.nextInt();
                       
                        factor = new HashMap<Long, Integer>();
                        int id = 0;
                        for(long d = 1; d * d <= l; d++)if(l % d == 0){
                                factor.put(d, id++);
                                if(d * d != l)factor.put(l / d, id++);
                        }
//                     
                        dp = new BigInteger[factor.size() + 1][n + 2];
                        for(int i  = 0; i < factor.size(); i++)
                                dp[i][0] = BigInteger.ZERO;
                        dp[factor.get(l)][0] = BigInteger.ONE;
                       
                       
                        BigInteger ways = go(1, n);
 
                        System.out.println(ways);
                }
        }
        static long gcd(long x, long y){
                if( y == 0 )return x;
                else return gcd(y, x % y);
        }
        private static BigInteger go(long lcm, int rem) {              
                if(rem == 0 && lcm == l)return BigInteger.ONE;
                if(rem == 0)return BigInteger.ZERO;
                System.out.println(lcm + ", " + rem);
               
                if(dp[factor.get(lcm)][rem] != null) return dp[factor.get(lcm)][rem];
                       
                BigInteger ways = BigInteger.ZERO;
                for(long d = 1; d * d <= l; d++)if(l % d == 0){
                        long lcmNEW1 = lcm * d / gcd(d, lcm);
                        long lcmNEW2 = lcm * (l/d) / gcd(l / d, lcm);
                       
                        ways = ways.add( go(lcmNEW1, rem - 1));
                        if(d * d != l)ways = ways.add( go(lcmNEW2, rem - 1));
                }
                return dp[factor.get(lcm)][rem] = ways;
        }
}