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.util.*;
import java.math.*;
import java.io.*; 
 public class B{
static int[] dx={-1,1,0,0};
static int[] dy={0,0,1,-1};
    static FastReader scan=new FastReader();
   public static PrintWriter out = new PrintWriter (new BufferedOutputStream(System.out));
  static ArrayList<Pair>es;
  static LinkedList<Integer>edges[];
   static boolean prime[];
   static void sieve(int n) 
    { 
        
        prime = new boolean[n+1]; 
        for(int i=0;i<n;i++) 
            prime[i] = true; 
          
        for(int p = 2; p*p <=n; p++) 
        { 
           
            if(prime[p] == true) 
            { 
                
                for(int i = p*p; i <= n; i += p) 
                    prime[i] = false; 
            } 
        } 
          
        
    }      
     public static int lowerBound(long[] array, int length, long value) {
        int low = 0;
        int high = length;
        while (low < high) {
            final int mid = (low + high) / 2;
            //checks if the value is less than middle element of the array
            if (value <= array[mid]) {
                high = mid;
            } else {
                low = mid + 1;
            }
        }
        return low;
    }
    public static int upperBound(long[] array, int length, long value) {
        int low = 0;
        int high = length;
        while (low < high) {
            final int mid = low+(high-low) / 2;
            if ( array[mid]>value) {
                high = mid ;
            } else {
                low = mid+1;
            }
        }
        return low;
    }
static long mod(long x,long y)
    {
        if(x<0)
            x=x+(-x/y+1)*y;
        return x%y;
    }    
     static boolean isPowerOfTwo(long n) 
    { 
        if (n == 0) 
            return false; 
  
        while (n != 1) { 
            if (n % 2 != 0) 
                return false; 
            n = n / 2; 
        } 
        return true; 
    } 

  
   
static boolean isprime(long x)
           {
            for(long i=2;i*i<=x;i++)
                if(x%i==0)
                    return false;
                return true;
           }


static int dist(int x1,int y1,int x2,int y2){
return Math.abs(x1-x2)+Math.abs(y1-y2);
}


    static long cuberoot(long x)
    {
        long lo = 0, hi = 1000005;
        while(lo<hi)
        {
            long m = (lo+hi+1)/2;
            if(m*m*m>x)
                hi = m-1;
            else
                lo = m;
        }
        return lo;
    }
     public static int log2(int N) 
    { 
  
        // calculate log2 N indirectly 
        // using log() method 
        int result = (int)(Math.log(N) / Math.log(2)); 
  
        return result; 
    } 
  
    
   
       static long gcd(long a, long b) {
    if(a!=0&&b!=0)
        while((a%=b)!=0&&(b%=a)!=0);
    return a^b;
}
    static long LCM(long a,long b){
    return (Math.abs(a*b))/gcd(a,b);
   }
   public static class comp1 implements Comparator<ArrayList<Integer>>{  
public int compare(ArrayList<Integer> o1,ArrayList<Integer> o2){
    if(o1.size()>0&&o2.size()>0&&o1.get(o1.size()-1)>o2.get(o2.size()-1))
        return 1;

 return -1;
}
  }
     public static class comp2 implements Comparator<Pair>{  
public int compare(Pair o1,Pair o2){
 
return (o2.ab-o1.ab)>0?1:-1;
}
  }
 static boolean can(int m,int s)
 {
    return (s>=0&&s<=m*9);
 }
   static boolean collinear(long x1, long y1, long x2,  
                          long y2, long x3, long y3) 
{
    long a = x1 * (y2 - y3) +  
                x2 * (y3 - y1) +  
                x3 * (y1 - y2); 
                if(a==0)
                    return true;
                return false;
}
static int arr[];
static int arr2[];
static int n;
//static long res=0;
//static Set<Integer>set=new HashSet<Integer>();
static long dp[][];
static long rec(int i,Set<Integer>set,int k)
{
   // 
    
    if(i==n)
    {
        //dp[i][k]=res;
        return 1;
       // return true;
    }
  // if(dp[i][k]!=-1){
 //     out.println("FUCK");
  
   //     return dp[i][k];
    //}
    long res=0;
    
    for(int j=0;j<n;j++)
    {
        if(arr2[j]>=arr[i]&&!set.contains(j))
        {
            set.add(j);
            res+=rec(i+1,set,j);
            
            
            set.remove(j);
        }
    }
//if(k!=-1)
  // dp[i][k]=res;
   //res+=rec(i+1,set,0,0);
    return res;
    //return res;

}
static boolean vis[]=new boolean[(int)1e5+5];
static long cnt[]=new long[2];
static void dfs(int x,int st)
{
    if(vis[x])
        return ;
    vis[x]=true;
    cnt[st]++;
    for(int k:edges[x])
    {
        if(!vis[k])
            dfs(k,st^1);
    }

}
public static boolean isBalanced(String exp)  
{ 
      
    // Initialising variables  
    boolean flag = true;  
    int count = 0;  
      
    // Traversing the expression  
    for(int i = 0; i < exp.length(); i++) 
    {  
        if (exp.charAt(i) == '(')  
        {  
            count++;  
        }  
        else
        {  
              
            // It is a closing parenthesis  
            count--;  
        }  
        if (count < 0) 
        {  
              
            // This means there are  
            // more Closing parenthesis  
            // than opening ones  
            flag = false;  
            break;  
        }  
    }  
      
    // If count is not zero,  
    // It means there are  
    // more opening parenthesis  
    if (count != 0)  
    {  
        flag = false;  
    } 
    return flag;  
}  
 static int minParentheses(String p)  
    {  
        
        // maintain balance of string  
        int bal = 0;  
        int ans = 0;  
        
        for (int i = 0; i < p.length(); ++i) {  
        
            bal += p.charAt(i) == '(' ? 1 : -1;  
        
            // It is guaranteed bal >= -1  
            if (bal == -1) {  
                ans += 1;  
                bal += 1;  
            }  
        }  
        
        return bal + ans;  
    }
    static ArrayList<Integer>res=new ArrayList<Integer>();
    //static int n;
   static void rec(int x)
    {
       // res.add(x);
        //out.println(x);

        if(x>=(int)1e6)
            return ;
        rec(x+2020);
        rec(x+2021);
    }  
public static void main(String[] args)  throws Exception 
{
    /*int xx=253;
    for(int i=1;i*i<=xx;i++)
    {
        if(xx%i==0)
        {
            System.out.println(i);
            System.out.println(xx/i);
        }
    }*/
//java.util.Scanner scan=new java.util.Scanner(new File("mootube.in"));
 //PrintWriter out = new PrintWriter (new FileWriter("mootube.out"));
//scan=new FastReader("input.txt");
//out = new PrintWriter ("output.txt");
//System.out.println(3^2);
//System.out.println(19%4);
   //StringBuilder news=new StringBuilder("ab");
   //news.deleteCharAt(1);
   //news.insert(0,'c');
   //news.deleteCharAt(0);
   //System.out.println(news);
   //System.out.println(can(2,15));
    //System.out.println(LCM(2,2));00
  // System.out.println(31^15);
 //System.out.println("bbabbbabbbabbbabbbabbbabbbabbbabbbabbbab".length());
int tt=1;
//rec(2020);
//tt=scan.nextInt();
//System.out.println(calc(91));
//sieve(21000);


  outer:while(tt-->0)
 {
    int n=scan.nextInt(),k=scan.nextInt();
    char grid[][]=new char[n][n];
    for(int i=0;i<n;i++)
        for(int j=0;j<n;j++)
            grid[i][j]='S';
    int kk=0;
   for(int i=0;i<n;i++)
   {
    for(int j=kk%2;j<n;j+=2){
        grid[i][j]='L';
    }
    kk++;
   }
   int L=0;
   for(int i=0;i<n;i++)
    for(int j=0;j<n;j++)
        if(grid[i][j]=='L')
            L++;
        if(k>L){
            out.println("NO");
            out.close();
            return;
        }
        out.println("YES");
        if(L>k){
        for(int i=0;i<n;i++)
        {
            for(int j=0;j<n;j++)
            {
                if(grid[i][j]=='L')
                    {
                        grid[i][j]='S';
                        L--;
                    }
                    if(L==k)
                        break;
            }
            if(L==k)
                break;
        }
    }
        for(int i=0;i<n;i++){
            for(int j=0;j<n;j++)
            {
                out.print(grid[i][j]);
            }
            out.println();
        }



}

out.close();
}    


static class dsu{
    static int id[]=new int[101];
    dsu()
    {
        for(int i=0;i<101;i++)
            id[i]=i;
    }
    static int find(int x)
    {
        if(x==id[x])
            return x;
        return find(id[x]);
    }
    static void connect(int i,int j)
    {
        i=find(i);
        j=find(j);
        id[i]=j;
    }
    static boolean is(int i,int j)
    {
        return find(i)==find(j);
    }
}
static long binexp(long a,long n,long mod)
{
    if(n==0)
       return 1;
    long res=binexp(a,n/2,mod)%mod;
    res=res*res;
    if(n%2==1)
        return (res*a)%mod;
    else 
        return res%mod;
}
static class special implements Comparable<special> {
    char x;
    int id;
    special(char x,int id)
    {
        this.id=id;
       this.x=x;
    }
    public int compareTo(special o)
    {
        return o.id-id;
    }
   
}
static long powMod(long base, long exp, long mod) {
       if (base == 0 || base == 1) return base;
       if (exp == 0) return 1;
       if (exp == 1) return base % mod;
       long R = powMod(base, exp/2, mod) % mod;
       R *= R;
       R %= mod;
       if ((exp & 1) == 1) {
           return base * R % mod;
       }
       else return R % mod;
   }
 public static  long pow(long b, long e) {
            long r = 1;
            while (e > 0) {
                if (e % 2 == 1) r = r * b ;
                b = b * b;
                e >>= 1;
            }
            return r;
        }

private static void sort(long[] arr) {
        List<Long> list = new ArrayList<>();
        for (long object : arr) list.add(object);
        Collections.sort(list);
        for (int i = 0; i < list.size(); ++i) arr[i] = list.get(i);
    }
 public static class FastReader {
        BufferedReader br;
        StringTokenizer root;
        
 
        public FastReader() {
            br = new BufferedReader(new InputStreamReader(System.in));
        }
        FastReader(String filename)throws Exception
        {

            br=new BufferedReader(new FileReader(filename));
        }
 
        String next() {
            while (root == null || !root.hasMoreTokens()) {
                try {
                    root = new StringTokenizer(br.readLine());
                } catch (Exception addd) {
                    addd.printStackTrace();
                }
            }
            return root.nextToken();
        }
 
        int nextInt() {
            return Integer.parseInt(next());
        }
 
        double nextDouble() {
            return Double.parseDouble(next());
        }
 
        long nextLong() {
            return Long.parseLong(next());
        }
 
        String nextLine() {
            String str = "";
            try {
                str = br.readLine();
            } catch (Exception addd) {
                addd.printStackTrace();
            }
            return str;
        }
         public int[] nextIntArray(int arraySize) {
            int array[] = new int[arraySize];
 
            for (int i = 0; i < arraySize; i++) {
                array[i] = nextInt();
            }
 
            return array;
        }
}
public static class Pair implements Comparable<Pair>{
         long x;
         long y;
         long ab;
        
        int z;
        public Pair(){}
        public Pair(int x1, int y1,int z) {
            x=x1;
            y=y1;
            this.z=z;
        }
        public Pair(long x1, long y1) {
            x=x1;
            y=y1;
            this.ab=x+y;
        
        }
        @Override
        public int hashCode() {
            return (int)(x + 31 * y);
        }
        public String toString() {
            return x + " " + y;
        }
        @Override
        public boolean equals(Object o){
            if (o == this) return true;
            if (o.getClass() != getClass()) return false;
            Pair t = (Pair)o;
            return t.x == x && t.y == y;
        }
        public  int compareTo(Pair o)
        {
            return (int)(x-o.x);
        }
}

}







