A map of some object is a rectangular field consisting of n rows and n columns. Each cell is initially occupied by the sea but you can cover some some cells of the map with sand so that exactly k islands appear on the map. We will call a set of sand cells to be island if it is possible to get from each of them to each of them by moving only through sand cells and by moving from a cell only to a side-adjacent cell. The cells are called to be side-adjacent if they share a vertical or horizontal side. It is easy to see that islands do not share cells (otherwise they together form a bigger island).

Find a way to cover some cells with sand so that exactly k islands appear on the n × n map, or determine that no such way exists. 

Input

The single line contains two positive integers n, k (1 ≤ n ≤ 100, 0 ≤ k ≤ n2) — the size of the map and the number of islands you should form.

Output

If the answer doesn't exist, print "NO" (without the quotes) in a single line.

Otherwise, print "YES" in the first line. In the next n lines print the description of the map. Each of the lines of the description must consist only of characters 'S' and 'L', where 'S' is a cell that is occupied by the sea and 'L' is the cell covered with sand. The length of each line of the description must equal n.

If there are multiple answers, you may print any of them.

You should not maximize the sizes of islands.

Examples

Input

5 2


Output

YES
SSSSS
LLLLL
SSSSS
LLLLL
SSSSS


Input

5 25


Output

NO
import java.io.*;
import java.math.*;
import java.security.*;
import java.text.*;
import java.util.*;
import java.util.concurrent.*;
import java.util.regex.*;
import java.util.Arrays;
import java.util.ArrayList;
import java.lang.Math; 
import java.util.Arrays;
import java.util.Comparator;
 
 
 
public class Main 
{ 
    static class FastReader 
    { 
        BufferedReader br; 
        StringTokenizer st; 
  
        public FastReader() 
        { 
            br = new BufferedReader(new
                     InputStreamReader(System.in)); 
        } 
  
        String next() 
        { 
            while (st == null || !st.hasMoreElements()) 
            { 
                try
                { 
                    st = new StringTokenizer(br.readLine()); 
                } 
                catch (IOException  e) 
                { 
                    e.printStackTrace(); 
                } 
            } 
            return st.nextToken(); 
        } 
  
        int nextInt() 
        { 
            return Integer.parseInt(next()); 
        } 
  
        long nextLong() 
        { 
            return Long.parseLong(next()); 
        } 
  
        double nextDouble() 
        { 
            return Double.parseDouble(next()); 
        } 
        
  
        String nextLine() 
        { 
            String str = ""; 
            try
            { 
                str = br.readLine(); 
            } 
            catch (IOException e) 
            { 
                e.printStackTrace(); 
            } 
            return str; 
        } 
    } 

   

    static int binarySearch(int a[] ,int k,int l,int h){
        
        while(l<=h){
         int mid = (l+h)/2;
         if(a[mid]==k) return mid;
         else if(a[mid]>k) h=mid-1;
         else if(a[mid]<k) l=mid+1;
        }
        
        return -1;
    }

    static int binarySearch(ArrayList<Integer> a ,int k,int l,int h){
        
        while(l<=h){
         int mid = (l+h)/2;
         if(a.get(mid)==k) return mid;
         else if(a.get(mid)>k) h=mid-1;
         else if(a.get(mid)<k) l=mid+1;
        }
        
        return -1;
    }

    static String reverse(String input)  
    { 
        char[] a = input.toCharArray(); 
        int l, r = 0; 
        r = a.length - 1; 
  
        for (l = 0; l < r; l++, r--) 
        { 
            // Swap values of l and r  
            char temp = a[l]; 
            a[l] = a[r]; 
            a[r] = temp; 
        } 
        return String.valueOf(a); 
    } 

   
    
    static int gcd(int a, int b) 
    { 
        // Everything divides 0  
        if (a == 0) 
          return b; 
        if (b == 0) 
          return a; 
       if (a == b) 
            return a; 
       if (a > b) 
            return gcd(a-b, b); 
        return gcd(a, b-a); 
    } 

    static int lcm(int a, int b) 
    { 
        return (a*b)/gcd(a, b); 
    } 

    static int solve(int A, int B) 
    { 
    int count = 0; 
    for (int i = 0; i < 21; i++) { 
        if (((A >> i) & 1) != ((B >> i) & 1)) { 
            count++; 
        } 
     } 
  
      return count;
    } 

    static long nCr(int n, int r) 
    { 
    return fact(n) / (fact(r) * 
    fact(n - r)); 
    } 
        
        
    static long fact(int n) 
    { 
    long res = 1; 
    for (int i = 2; i <= n; i++) 
    res = res * i; 
    return res; 
    } 
        
    public static long count(long k) {
    return k * (k - 1) / 2;
    }

    static boolean isPrime(int n) { 
            // if(n==1) return false; 
    if(n==2) return true;
    if (n%2==0) return false; 
    
    int l = (int)Math.sqrt(n);
    for(int i=3;i<=l;i+=2) { 
        if(n%i==0) 
        return false; 
    } 
    return true; 
    }

    static int negMod(int n){
    int a = (n % 1000000007 + 1000000007) % 1000000007;
    return a;
    }
        

    public static int sum(long x) {
    int sum = 0;
    while (x > 0) {
    sum += x % 10;
    x /= 10;
    }
    return sum;
    }
    
    static ArrayList<Long> a = new ArrayList<>();

    static void genLucky(long val , int f , int s){
        if(val>10000000000l) return ;
        if(f==s) a.add(val);
        genLucky(val*10+4, f+1, s);
        genLucky(val*10+7, f, s+1);

    }

    public static int max(int x, int y, int z)
    {
        return (int)Math.max(Math.max(x, y), z);
    }
    
    
    public static int min(int x, int y, int z)
    {
        return (int)Math.min(Math.min(x, y), z);
    }
    
    

   static  void  bipartite(int n,int c,int color[]){
     visited[n] = 1;
     color[n] = c;
     
     Iterator<Integer> i = adj.get(n).listIterator(); 
        while (i.hasNext()) 
        { 
            int a = i.next(); 
            if (visited[a]==0) 
            bipartite(a,c^1,color); 
        } 
   }
   
    static double distance(int x,int y,int r1,int r2){
        double ans = Math.sqrt((x-r1)*(x-r1) + (y-r2)*(y-r2));
        return ans;
    }  
    
        static int divisors(int n) 
    { 
        int count = 0;
        for (int i=1; i<=Math.sqrt(n); i++) 
        { 
            if (n%i==0) 
            { 
                
                if (n/i == i) 
                    count += 1; 
       
                else // Otherwise print both 
                    count +=2; 
            } 
        } 
        return count;
    } 
    
    static ArrayList<ArrayList<Integer>> adj = new  ArrayList<ArrayList<Integer>>();
    static int visited[] = new int[52];

    static void addEdge(int u, int v) 
        { 
        adj.get(u).add(v); 
        adj.get(v).add(u); 
        } 

    static void dfs(int a){
            visited[a] = 1;
            c++;
            
            Iterator<Integer> i = adj.get(a).listIterator(); 
            
             while (i.hasNext()) 
             { 
                 int n = i.next(); 
                 if (visited[n]==0) {
                     
                     dfs(n); 
                 }
                    
             }
             
    }

    static int mod=1000003;
    static long m=1073741824;
    static int c=0;
    
    public static void main(String[] args) throws Exception 
    {   
       
        OutputStream outputStream = System.out;
        PrintWriter w = new PrintWriter(outputStream);
        FastReader sc = new FastReader();
        // Scanner sc = new Scanner(new File("input.txt"));
        // PrintWriter out = new PrintWriter(new File("output.txt"));
        int i,j;
         
        int t = 1;

        while(t>0){
        
         int n  = sc.nextInt();
         int k  = sc.nextInt();
         
         boolean f = false;
         if(n%2 == 0){
             j = (n/2)*n;
         }
         else {
             j = (n/2 + 1) * n;
            
             j -= n/2;
         }
         
        //  w.println(j);
         if(k>j) w.println("NO");
         else{
            w.println("YES");
             char a[][] = new char[n][n];
             j=0;
             int g=0;
            for(i=0;i<n;i++){
              for(g=0;g<n;g++){
                  if(j<k){
                      if(i%2==0 && g%2==0) {a[i][g]='L'; j++;}
                      else if(i%2!=0 && g%2!=0) {a[i][g]='L'; j++;}
                      else a[i][g]='S';
                  }
                  else  a[i][g]='S';
              }
            }

            for(i=0;i<n;i++){
                for(j=0;j<n;j++){
                    w.print(a[i][j]);
                }
                w.println();
            }
         }
        t--;
        }
        w.close();
    }
           
}
        
        
    

       




// System.out.println();

        
    
    

