You are policeman and you are playing a game with Slavik. The game is turn-based and each turn consists of two phases. During the first phase you make your move and during the second phase Slavik makes his move.

There are n doors, the i-th door initially has durability equal to a_i.

During your move you can try to break one of the doors. If you choose door i and its current durability is b_i then you reduce its durability to max(0, b_i - x) (the value x is given).

During Slavik's move he tries to repair one of the doors. If he chooses door i and its current durability is b_i then he increases its durability to b_i + y (the value y is given). Slavik cannot repair doors with current durability equal to 0.

The game lasts 10^{100} turns. If some player cannot make his move then he has to skip it.

Your goal is to maximize the number of doors with durability equal to 0 at the end of the game. You can assume that Slavik wants to minimize the number of such doors. What is the number of such doors in the end if you both play optimally?

Input

The first line of the input contains three integers n, x and y (1 ≤ n ≤ 100, 1 ≤ x, y ≤ 10^5) — the number of doors, value x and value y, respectively.

The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^5), where a_i is the initial durability of the i-th door.

Output

Print one integer — the number of doors with durability equal to 0 at the end of the game, if you and Slavik both play optimally.

Examples

Input


6 3 2
2 3 1 3 4 2


Output


6


Input


5 3 3
1 2 4 2 3


Output


2


Input


5 5 6
1 2 6 10 3


Output


2

Note

Clarifications about the optimal strategy will be ignored.


import java.util.*;
import java.lang.*;
import java.io.*;
import java.math.*;


public class file{


// *********************************************BEGINS*********************************************
public static void main(String[] args) throws IOException{


// Working program using BufferedReader 
        //BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); 
       // StringTokenizer st = new StringTokenizer(br.readLine()); 
       // int n = Integer.parseInt(st.nextToken()); 
       // int k = Integer.parseInt(st.nextToken()); 

Reader scn=new Reader();
PrintWriter pt=new PrintWriter(System.out);

int n=scn.nextInt();
int x=scn.nextInt();
int y=scn.nextInt();
int[] arr=new int[n];
for(int i=0;i<n;i++){
    arr[i]=scn.nextInt();
}
sort(arr,0,n-1);
if(x==y){
    boolean flag=true;
    int c=0;
    for(int i=0;i<n;i++){
        if(arr[i]>x){
        	if(c%2==0)
                pt.println(c/2);
            	else {
            		  pt.println(c/2+1);
            	}
            	flag=false;
            	break;
        }else{
            c++;
        }
    }
    if(flag){
        	if(n%2==0)
                pt.println(n/2);
            	else {
            		  pt.println(n/2+1);
            	}
    }
}else if(x>y){
    pt.println(n);
}else{
    int c=0;
       boolean flag=true;
    for(int i=0;i<n;i++){
        if(arr[i]>x){
        	if(c%2==0)
            pt.println(c/2);
        	else {
        		  pt.println(c/2+1);
        	}
        		flag=false;
            	
        	break;
        }else{
            c++;
        }
    }
       if(flag){
        	if(n%2==0)
                pt.println(n/2);
            	else {
            		  pt.println(n/2+1);
            	}
    }
}

pt.close();

}
// *********************************************ENDED*********************************************
static boolean isPrime(long n) 
{ 
    // Converting long to BigInteger 
    BigInteger b = new BigInteger(String.valueOf(n)); 

    return b.isProbablePrime(1); 
} 

static void merge(int arr[], int l, int m, int r)
    {
        // Find sizes of two subarrays to be merged
        int n1 = m - l + 1;
        int n2 = r - m;
 
        /* Create temp arrays */
        int L[] = new int [n1];
        int R[] = new int [n2];
 
        /*Copy data to temp arrays*/
        for (int i = 0; i < n1; ++i)
            L[i] = arr[l + i];
        for (int j = 0; j < n2; ++j)
            R[j] = arr[m + 1 + j];
 
 
        /* Merge the temp arrays */
 
        // Initial indexes of first and second subarrays
        int i = 0, j = 0;
 
        // Initial index of merged subarry array
        int k = l;
        while (i < n1 && j < n2)
        {
            if (L[i] <= R[j])
            {
                arr[k] = L[i];
                i++;
            }
            else
            {
                arr[k] = R[j];
                j++;
            }
            k++;
        }
 
        /* Copy remaining elements of L[] if any */
        while (i < n1)
        {
            arr[k] = L[i];
            i++;
            k++;
        }
 
        /* Copy remaining elements of R[] if any */
        while (j < n2)
        {
            arr[k] = R[j];
            j++;
            k++;
        }
    }
 
    // Main function that sorts arr[l..r] using
    // merge()
    static void sort(int arr[], int l, int r)
    {
        if (l < r)
        {
            // Find the middle point
            int m = (l + r) / 2;
 
            // Sort first and second halves
            sort(arr, l, m);
            sort(arr , m + 1, r);
 
            // Merge the sorted halves
            merge(arr, l, m, r);
        }
    }

static class Reader 
    { 
        final private int BUFFER_SIZE = 1 << 16; 
        private DataInputStream din; 
        private byte[] buffer; 
        private int bufferPointer, bytesRead; 
  

public Reader() 
        { 
            din = new DataInputStream(System.in); 
            buffer = new byte[BUFFER_SIZE]; 
            bufferPointer = bytesRead = 0; 
        }


public Reader(String file_name) throws IOException 
        { 
            din = new DataInputStream(new FileInputStream(file_name)); 
            buffer = new byte[BUFFER_SIZE]; 
            bufferPointer = bytesRead = 0; 
        }  

public String readLine() throws IOException 
        { 
            byte[] buf = new byte[64]; // line length 
            int cnt = 0, c; 
            while ((c = read()) != -1) 
            { 
                if (c == '\n') 
                    break; 
                buf[cnt++] = (byte) c; 
            } 
            return new String(buf, 0, cnt); 
        } 


 public int nextInt() throws IOException 
        { 
            int ret = 0; 
            byte c = read(); 
            while (c <= ' ') 
                c = read(); 
            boolean neg = (c == '-'); 
            if (neg) 
                c = read(); 
            do
            { 
                ret = ret * 10 + c - '0'; 
            }  while ((c = read()) >= '0' && c <= '9'); 
  
            if (neg) 
                return -ret; 
            return ret; 
        } 


 public long nextLong() throws IOException 
        { 
            long ret = 0; 
            byte c = read(); 
            while (c <= ' ') 
                c = read(); 
            boolean neg = (c == '-'); 
            if (neg) 
                c = read(); 
            do { 
                ret = ret * 10 + c - '0'; 
            } 
            while ((c = read()) >= '0' && c <= '9'); 
            if (neg) 
                return -ret; 
            return ret; 
        } 


public double nextDouble() throws IOException 
        { 
            double ret = 0, div = 1; 
            byte c = read(); 
            while (c <= ' ') 
                c = read(); 
            boolean neg = (c == '-'); 
            if (neg) 
                c = read(); 
  
            do { 
                ret = ret * 10 + c - '0'; 
            } 
            while ((c = read()) >= '0' && c <= '9'); 
  
            if (c == '.') 
            { 
                while ((c = read()) >= '0' && c <= '9') 
                { 
                    ret += (c - '0') / (div *= 10); 
                } 
            } 
  
            if (neg) 
                return -ret; 
            return ret; 
        } 

private void fillBuffer() throws IOException 
        { 
            bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE); 
            if (bytesRead == -1) 
                buffer[0] = -1; 
        } 

private byte read() throws IOException 
        { 
            if (bufferPointer == bytesRead) 
                fillBuffer(); 
            return buffer[bufferPointer++]; 
        } 


public void close() throws IOException 
        { 
            if (din == null) 
                return; 
            din.close(); 
        } 
    }
  
}