Problem:
Problem H: Fibonacci Sets

Fibonacci number f(i) appear in a variety of puzzles in nature and math, including packing problems, family trees or Pythagorean triangles. They obey the rule f(i) = f(i - 1) + f(i - 2), where we set f(0) = 1 = f(-1).

Let V and d be two certain positive integers and be N ≡ 1001 a constant. Consider a set of V nodes, each node i having a Fibonacci label F[i] = (f(i) mod N) assigned for i = 1,..., V ≤ N. If |F(i) - F(j)| < d, then the nodes i and j are connected.

Given V and d, how many connected subsets of nodes will you obtain?

Figure 1: There are 4 connected subsets for V = 20 and d = 100.

Input

Each data set is defined as one line with two integers as follows:

Line 1: Number of nodes V and the distance d.

Input includes several data sets (i.e., several lines). The number of dat sets is less than or equal to 50.

Constraints

1 ≤ V ≤ 1000

1 ≤ d ≤ 150

Output

Output line contains one integer - the number of connected subsets - for each input line.

Sample Input

5 5
50 1
13 13

Output for the Sample Input

2
50
8

Solution in JAVA (judge verdict: Wrong Answer)

import java.io.*;
import java.util.*;
public class Main{
        public static void main(String[] arg) throws IOException {
                BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
                String is; 
                String[] ia; 

                final int N = 1001;
                ArrayList<Integer> al;
                while((is = in.readLine()) != null){
                        ia = is.split(" ");
                        int V = Integer.parseInt(ia[0]);
                        int d = Integer.parseInt(ia[1]);
                        if(V == 0){
                                System.out.println(0);
                                continue;
                        }
                        int a = 1, b = 1, c;
                        al = new ArrayList<Integer>();
                        for(int i = 0;i < V; ++i){
                                c = a + b;
                                a = b;
                                b = c;
                                al.add(c%N);
                        }   
                        Collections.sort(al);
                        c = 1;
                        a = al.get(0);
                        for(int i = 1;i < al.size(); ++i){
                                b = al.get(i);
                                if((b-a)>=d){
                                        ++c;
                                }
                                a = b;
                        }
                        System.out.println(c);
                }   
        }   
}