Problem: One day Kefa found n baloons. For convenience, we denote color of i-th baloon as si — lowercase letter of the Latin alphabet. Also Kefa has k friends. Friend will be upset, If he get two baloons of the same color. Kefa want to give out all baloons to his friends. Help Kefa to find out, can he give out all his baloons, such that no one of his friens will be upset — print «YES», if he can, and «NO», otherwise. Note, that Kefa's friend will not upset, if he doesn't get baloons at all.

Input

The first line contains two integers n and k (1 ≤ n, k ≤ 100) — the number of baloons and friends.

Next line contains string s — colors of baloons.

Output

Answer to the task — «YES» or «NO» in a single line.

You can choose the case (lower or upper) for each letter arbitrary.

Examples

Input

4 2
aabb


Output

YES


Input

6 3
aacaab


Output

NO

Note

In the first sample Kefa can give 1-st and 3-rd baloon to the first friend, and 2-nd and 4-th to the second.

In the second sample Kefa needs to give to all his friends baloons of color a, but one baloon will stay, thats why answer is «NO».

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.*;
public final class code
// public class Main
// class code
// public class Solution
{
    static void solve()throws IOException
    {
        int n=nextInt();
        int k=nextInt();
        String s=nextLine();
        int freq[]=new int[128];
        boolean flag=true;
        for(int i=0;i<s.length();i++)
        {
            freq[s.charAt(i)]++;
            if(freq[s.charAt(i)]>k)
                flag=false;
        }
        if(flag)
            out.println("YES");
        else
            out.println("NO");
    }
    
     
    ///////////////////////////////////////////////////////////
    public static void main(String args[])throws IOException
    {
        br=new BufferedReader(new InputStreamReader(System.in));
        out=new PrintWriter(new BufferedOutputStream(System.out));
        random=new Random();
         
        solve();
         
        // int t=nextInt();
        // for(int i=1;i<=t;i++)
        // {
        //    // out.print("Case #"+i+": ");
        //     solve();
        // }
         
        out.close();
    }
     
    static final long mod=(int)(1e9+7);
    static final int inf=(int)(1e9+1);
    // static final long inf=(long)(1e18);
     
    static class Pair implements Comparable<Pair>
    {
        int first,second;
        Pair(int a,int b)
        {
            first=a;
            second=b;
        }
        public int compareTo(Pair p)
        {
            return first==p.first?second-p.second:first-p.first;
        }
        public boolean equals(Object o)
        {
            Pair p=(Pair)o;
            return first==p.first?second==p.second:false;
        }
        public int hashCode()
        {
            return (int)((1l*first*inf+second)%mod);
        }
        public String toString()
        {
            return first+" "+second;
        }
    }
    static class Triplet implements Comparable<Triplet>
    {
        int first,second,third;
        Triplet(int a,int b,int c)
        {
            first=a;
            second=b;
            third=c;
        }
        public int compareTo(Triplet p)
        {
            return second-p.second;
        }
        public String toString()
        {
            return first+" "+second+" "+third;
        }
    }
    
    static long modinv(long x)
    {
        return modpow(x,mod-2);
    }
    static long modpow(long a,long b)
    {
        if(b==0)
            return 1;
        long x=modpow(a,b/2);
        x=(x*x)%mod;
        if(b%2==1)
            return (x*a)%mod;
        return x;
    } 
    static int gcd(int a,int b)
    {
        if(a==0)
            return b;
        return gcd(b%a,a);
    }
    static int max(int ... a)
    {
    int ret=a[0];
    for(int i=1;i<a.length;i++)
    ret=Math.max(ret,a[i]);
    return ret;
    }
    static int min(int ... a)
    {
    int ret=a[0];
    for(int i=1;i<a.length;i++)
    ret=Math.min(ret,a[i]);
    return ret;
    }
    static void debug(Object ... a)
    {
    System.out.print("> ");
    for(int i=0;i<a.length;i++)
    System.out.print(a[i]+" ");
    System.out.println();
    }
    static void debug(int a[]){debuga(Arrays.stream(a).boxed().toArray());}
    static void debug(long a[]){debuga(Arrays.stream(a).boxed().toArray());}
    static void debuga(Object a[])
    {
    System.out.print("> ");
    for(int i=0;i<a.length;i++)
    System.out.print(a[i]+" ");
    System.out.println();
    }
    static Random random;
    static BufferedReader br;
    static StringTokenizer st;
    static PrintWriter out;
    static String nextToken()throws IOException
    {
    while(st==null || !st.hasMoreTokens())
    st=new StringTokenizer(br.readLine());
    return st.nextToken();
    }
    static String nextLine()throws IOException
    {
    return br.readLine();
    }
    static int nextInt()throws IOException
    {
    return Integer.parseInt(nextToken());
    }
    static long nextLong()throws IOException
    {
    return Long.parseLong(nextToken());
    }
    static double nextDouble()throws IOException
    {
    return Double.parseDouble(nextToken());
    }
}