Mad scientist Mike is building a time machine in his spare time. To finish the work, he needs a resistor with a certain resistance value.

However, all Mike has is lots of identical resistors with unit resistance R0 = 1. Elements with other resistance can be constructed from these resistors. In this problem, we will consider the following as elements: 

  1. one resistor; 
  2. an element and one resistor plugged in sequence; 
  3. an element and one resistor plugged in parallel. 

<image>

With the consecutive connection the resistance of the new element equals R = Re + R0. With the parallel connection the resistance of the new element equals <image>. In this case Re equals the resistance of the element being connected.

Mike needs to assemble an element with a resistance equal to the fraction <image>. Determine the smallest possible number of resistors he needs to make such an element.

Input

The single input line contains two space-separated integers a and b (1 ≤ a, b ≤ 1018). It is guaranteed that the fraction <image> is irreducible. It is guaranteed that a solution always exists.

Output

Print a single number — the answer to the problem.

Please do not use the %lld specifier to read or write 64-bit integers in С++. It is recommended to use the cin, cout streams or the %I64d specifier.

Examples

Input

1 1


Output

1


Input

3 2


Output

3


Input

199 200


Output

200

Note

In the first sample, one resistor is enough.

In the second sample one can connect the resistors in parallel, take the resulting element and connect it to a third resistor consecutively. Then, we get an element with resistance <image>. We cannot make this element using two resistors.


import java.awt.List;
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.OutputStreamWriter;
import java.io.PrintWriter;
import java.math.BigInteger;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.Comparator;
import java.util.HashMap;
import java.util.HashSet;
import java.util.Iterator;
import java.util.LinkedList;
import java.util.Map.Entry;
import java.util.Queue;
import java.util.Scanner;
import java.util.Set;
import java.util.Stack;
import java.util.*;


 
 
public class cool {

	private static InputStream stream;
	private static PrintWriter pw;
	
	
	
//	static int a;
//	static int b;
//	static int f = 0;
	static int n;
	static int m;
//	static int[][] arr;
	//static char[][] arr;
	
	static int Arr[];
	static int tree[];
	
	static int time = 0;
	
	static int[][] dir = {{-1,0},{0,1},{1,0},{0,-1}};

	static int visited[];
	static int visited2[][];
	static Stack<Integer> stack;
	
//	static ArrayList<Integer> ans;

//	static int arr[][];
//	static int arr[];
	static char[][] arr;
	static char[][] ans;
//	static int[][] visited;
//  static int c;
//	static int d[];
//	static int arr[][];
	static ArrayList[] adj;
//	static ArrayList<Integer> ans;
//	static int f;
	static int parent[];
	static int color[];
//	static ArrayList<Integer> comp[];

	static int f = 0;
	static int k = 0;
	static int count = 0;
	static int ini[];
	
	static ArrayList<Node> list;
	static ArrayList<Integer> ind;

	
	
	public static void main(String[] args){
		//InputReader(System.in);
		pw = new PrintWriter(System.out);
		
		Scanner in = new Scanner(System.in);

		long a = in.nextLong();
		long b = in.nextLong();
		
		long ans = 0;
		
		while(true){
			if(a == 1 && b == 1){
				ans++;
				break;
			}else if(a < 1 || b < 1){
				break;
			}else if(a%b == 0){
				ans += a/b;
				break;
			}else if(b%a == 0){
				ans += b/a;
				break;
			}
			
			if(a > b){
				ans += a/b;
				
				a = a%b;
				
			}else if(a < b){
				long c = a;
				a = b;
				b = c;
			}else{
				ans++;
				break;
			}
			
			
		
		}
		
		pw.println(ans);
		
		pw.close();
	}
	
	
	public static void dfs(int i,int c){
		
		if(visited[i] == 1){
			return;
		}
		
		visited[i] = 1;
		
		for(int j = 0;j<adj[i].size();j++){
			
			if(color[(int)adj[i].get(j)] == c){
				dfs((int)adj[i].get(j),c);
			}else{
				count++;
			}
			
		}
		
	}
	
	
	public static long pow(long n,long p,long m){
        long  result = 1;
         if(p==0)
           return 1;
       if (p==1)
           return n;
       while(p!=0)
       {
           if(p%2==1)
               result *= n;
           if(result>=m)
           result%=m;
           p >>=1;
           n*=n;
           if(n>=m)
           n%=m;
       }
       return result;
       }
	

	
	public static int cs(ArrayList<Integer> arr, int low, int high, int x)
	{
	  int mid;    
	 
	  if(x <= arr.get(low))
	    return low; 
	 
	  if(x > arr.get(high))
	    return -1;  
	 
	 
	  mid = (low + high)/2; 
	 
	  if(arr.get(mid) == x)
	    return mid;
	    
	  else if(arr.get(mid) < x)
	  {
	    if(mid + 1 <= high && x <= arr.get(mid+1))
	      return mid + 1;
	    else
	      return cs(arr, mid+1, high, x);
	  }
	   
	  else
	  {
	    if(mid - 1 >= low && x > arr.get(mid-1))
	      return mid;
	    else    
	      return cs(arr, low, mid - 1, x);
	  }
	}
	
	
	public static int fs(ArrayList<Integer> arr, int low, int high, int x)
	{
	   
	    if (low > high)
	        return -1;
	 
	    if (x >= arr.get(high))
	        return high;
	 
	    // Find the middle point
	    int mid = (low+high)/2;
	 
	    // If middle point is floor.
	    if (arr.get(mid) == x)
	        return mid;
	 
	    // If x lies between mid-1 and mid
	    if (mid > 0 && arr.get(mid-1) <= x && x < arr.get(mid))
	        return mid-1;
	 
	    // If x is smaller than mid, floor must be in
	    // left half.
	    if (x < arr.get(mid))
	        return fs(arr, low, mid-1, x);
	 
	    // If mid-1 is not floor and x is greater than
	    // arr[mid],
	    return fs(arr, mid+1, high, x);
	}
	 

	public static long gcd(long x, long y) {
		if (x == 0)
			return y;
		else
			return gcd( y % x,x);
	}
	
//	public static void dfs(int a,int p){
//		System.out.println(a);
//		if(a > 30000){
//			return;
//		}
//		
//		if(visited[a] == 1){
//			return;
//		}
//		
//		visited[a] = 1;
//		
//		if(ini[a] != 0){
//			count+= ini[a];
//		}
//		
//		int l = a-p;
//		
//		if(visited[a+l-1] == 0){
//			dfs(a+l-1,a);
//		}else if(visited[a+l] == 0){
//			dfs(a+l,a);
//		}else if(visited[a+l+1] == 0){
//			dfs(a+l+1,a);
//		}
//		
//	}
//	
	
	
	
	
	
	public static int prev(int i,boolean[] arr){
		
		while(arr[i]){
			if(i == 0){
				if(arr[i]){
					return -1;
				}else{
					return 0;
				}
				
				
			}
			
			
			i--;
			
		}
		
		return i;
		
		
	}
	
	
	public static int next(int i,boolean[] arr){
		
		
		while(arr[i]){
			if(i == arr.length-1){
				if(arr[i]){
					return -1;
				}else{
					return 0;
				}
			}
			
			i++;
		}
		
		
		return i;
	}
	

	
	private static Map<String, Integer> sortByValue(Map<String, Integer> unsortMap) {

        // 1. Convert Map to List of Map
        LinkedList<Entry<String, Integer>> list =
                new LinkedList<Map.Entry<String, Integer>>(unsortMap.entrySet());

        // 2. Sort list with Collections.sort(), provide a custom Comparator
        //    Try switch the o1 o2 position for a different order
        Collections.sort(list, new Comparator<Map.Entry<String, Integer>>() {
            public int compare(Map.Entry<String, Integer> o1,
                               Map.Entry<String, Integer> o2) {
                return (o1.getValue()).compareTo(o2.getValue());
            }
        });

        // 3. Loop the sorted list and put it into a new insertion order Map LinkedHashMap
        Map<String, Integer> sortedMap = new LinkedHashMap<String, Integer>();
        for (Map.Entry<String, Integer> entry : list) {
            sortedMap.put(entry.getKey(), entry.getValue());
        }

        /*
        //classic iterator example
        for (Iterator<Map.Entry<String, Integer>> it = list.iterator(); it.hasNext(); ) {
            Map.Entry<String, Integer> entry = it.next();
            sortedMap.put(entry.getKey(), entry.getValue());
        }*/


        return sortedMap;
    }

	
	public static ArrayList<Integer> Range(int[] numbers, int target) {
	  

	    int low = 0, high = numbers.length - 1;
	    // get the start index of target number
	    int startIndex = -1;
	    while (low <= high) {
	        int mid = (high - low) / 2 + low;
	        if (numbers[mid] > target) {
	            high = mid - 1;
	        } else if (numbers[mid] == target) {
	            startIndex = mid;
	            high = mid - 1;
	        } else
	            low = mid + 1;
	    }

	    // get the end index of target number
	    int endIndex = -1;
	    low = 0;
	    high = numbers.length - 1;
	    while (low <= high) {
	        int mid = (high - low) / 2 + low;
	        if (numbers[mid] > target) {
	            high = mid - 1;
	        } else if (numbers[mid] == target) {
	            endIndex = mid;
	            low = mid + 1;
	        } else
	            low = mid + 1;
	    }

	    ArrayList<Integer> list = new ArrayList<Integer>();
	    int c = 0;
	    if (startIndex != -1 && endIndex != -1){
	        for(int i = startIndex;i<=endIndex;i++){
	        	list.add(i);
	        }
	    }
	    
	    
	    return list;
	    
	    
	}

	
	
	 private static int root(int Arr[],int i)
	    {
	        while(Arr[ i ] != i)           //chase parent of current element until it reaches root
	        {
	            Arr[ i ] = Arr[ Arr[ i ] ] ; 
	            i = Arr[ i ];
	        }
	        return i;
	    }
	 
	 private static void union(int Arr[],int size[],int A,int B)
	    {
	        int root_A = root(Arr,A);
	        int root_B = root(Arr,B);
	     
	       System.out.println(root_A + " " + root_B);
	        if(root_A != root_B){
	        	 if(size[root_A] < size[root_B ])
	 	        {
	        		 Arr[ root_A ] = Arr[root_B];
	        		 size[root_B] += size[root_A];	 	
	 	        }
	 	        else
	 	        {   	
	 	        	Arr[ root_B ] = Arr[root_A];
	 	        	size[root_A] += size[root_B];	 	   
	 	        }	
	        }
	    }
	 
	 private static boolean find(int A,int B)
	    {
	        if( root(Arr,A)==root(Arr,B) )       //if A and B have the same root, it means that they are connected.
	        return true;
	        else
	        return false;
	    }
	 
	
	


//	
//	public static void bfs(int i){
//		
//		Queue<Integer> q=new LinkedList<Integer>();
//    	q.add(i);
//    	
//    	visited[i] = 1;
//    	c++;
//    	nodes++;
//    	while(!q.isEmpty()){
//    		int top=q.poll();
//    		
//    		Iterator<Integer> it= arr[top].listIterator();
//    		while(it.hasNext()){
//    			int next =it.next();
//    			
//    			if(visited[next] == 0){
//    				nodes++;
//    				visited[next] = 1;
//    				q.add(next);
//    			}
//    		
//    		}
//    	}
//		
//	}
	
	
	
//	public static void dfs(int i){
//		
//		
//		if(visited[i] == 1){
//			return;
//		}
//		
//		visited[i] = 1;
//		con[c].add(i);
//		//System.out.print(i + " ");
//		for(int j = 0;j<arr[i].size();j++){
//			dfs(arr[i].get(j));
//		}
//		
//	}
//	
//	
//	public static void dfss(int i){
//		if(visited[i] == 1){
//			return;
//		}
//		
//		visited[i] = 1;
//		
//		for(int j = 0;j<arr[i].size();j++){
//			dfss(arr[i].get(j));
//		}
//	//	System.out.println(i);
//		stack.push(i);
//	}
//	
//	public static void reverse(){
//		ArrayList[] temp = new ArrayList[n];
//		
//		for(int i = 0;i<n;i++){
//			temp[i] = new ArrayList();
//		}
//		
//		for(int i = 0;i<n;i++){
//			for(int j = 0;j<arr[i].size();j++){
//				temp[arr[i].get(j)].add(i);
//			}
//		}
//		
//		arr = temp;
//		
//	}
//	
//	
	
	
	
	
	
	
	public static boolean isPrime(int n) {
		// Corner cases
		if (n <= 1)
			return false;
		if (n <= 3)
			return true;
 
		// This is checked so that we can skip 
		// middle five numbers in below loop
		if (n % 2 == 0 || n % 3 == 0)
			return false;
 
		for (int i = 5; i * i <= n; i = i + 6)
			if (n % i == 0 || n % (i + 2) == 0)
				return false;
 
		return true;
	}
	
		 
	 // union code starts	
	
	
	 
	 // union code ends
	
	
	 
//	 // Segment tree code begins
//	 
//	 
//	 static void build(int node,int start,int end)
//	 {
//	 if(start==end)
//	 tree[node]=a[start];
//	 else
//	 {
//	 int mid=(start+end)/2;
//	 build(2*node,start,mid);
//	 build(2*node+1,mid+1,end);
//	 if(tree[2*node]<tree[2*node+1])
//	 tree[node]=tree[2*node];
//	 else
//	 tree[node]=tree[2*node+1];
//	 }
//	 }
//	 
//	 
//	 static void update(int node,int start,int end,int idx,int val)
//	 {
//	 if(start==end)
//	 {
//	 a[idx]=val;
//	 tree[node]=val;
//	 }
//	 else
//	 {
//	 int mid=(start+end)/2;
//	 if(idx>=start&&idx<=mid)
//	 update(2*node,start,mid,idx,val);
//	 else
//	 update(2*node+1,mid+1,end,idx,val);
//	 if(tree[2*node]<tree[2*node+1])
//	 tree[node]=tree[2*node];
//	 else
//	 tree[node]=tree[2*node+1];
//	 }
//	 }
//	 
//	 static int query(int node,int start,int end,int l,int r)
//	 {
//	 if(l>end||start>r)
//	 return 100005;
//	 if(l<=start&&r>=end)
//	 return tree[node];
//	 int p1,p2;
//	 int mid=(start+end)/2;
//	 p1=query(2*node,start,mid,l,r);
//	 p2=query(2*node+1,mid+1,end,l,r);
//	 if(p1<p2)
//	 return p1;
//	 else
//	 return p2;
//	 }
//	 
//	 
//	 
//}

}

class Field{
	
	long a;
	long b;
	
	Field(long a,long b){
		this.a = Math.min(a, b);
		this.b = Math.max(a, b);
	}
	
	boolean greator(Field f){
		return (this.a >= f.a && this.b >= f.b);
	}
	
}


class Node{
	int a;
	int b;
}

class point{
	int a;
	int b;
}


class MyComp2 implements Comparator<Node>{
    
	@Override
	public int compare(Node o1, Node o2) {
		
		if( o1.b > o2.b){
			return 1;
		}else if( o1.b < o2.b){
			return -1;
		}else{
			if(o1.a == o2.a){
				return 0;
			}else if(o1.a > o2.a){
				return 1;
			}else if(o1.a < o2.a){
				return -1;
			}
		}
		
		return 0;
	}
}


class Card implements Comparable<Card>
{
	int a,b;
	public Card(int w,int h)
	{
		this.a=w;
		this.b=h;
		
	}
	public int compareTo(Card that)
	{
		return this.a-that.a;
	}
}
