A robot is put at the origin in a two-dimensional plane. Initially, the robot is facing in the positive x-axis direction.

This robot will be given an instruction sequence s. s consists of the following two kinds of letters, and will be executed in order from front to back.

* `F` : Move in the current direction by distance 1.
* `T` : Turn 90 degrees, either clockwise or counterclockwise.



The objective of the robot is to be at coordinates (x, y) after all the instructions are executed. Determine whether this objective is achievable.

Constraints

* s consists of `F` and `T`.
* 1 \leq |s| \leq 8 000
* x and y are integers.
* |x|, |y| \leq |s|

Input

Input is given from Standard Input in the following format:


s
x y


Output

If the objective is achievable, print `Yes`; if it is not, print `No`.

Examples

Input

FTFFTFFF
4 2


Output

Yes


Input

FTFFTFFF
-2 -2


Output

Yes


Input

FF
1 0


Output

No


Input

TF
1 0


Output

No


Input

FFTTFF
0 0


Output

Yes


Input

TTTT
1 0


Output

No
import java.util.*;
import java.io.*;
import java.math.*;
 
 
import static java.lang.Math.*;
import static java.util.Arrays.*;
import static java.util.Collections.*;
 
public class Main{ 
 
 
    static long mod=1000000007;
    static int dx[]={1,-1,0,0};
    static int dy[]={0,0,1,-1};
    // static int dx[]={1,-1,0,0,1,1,-1,-1};
    // static int dy[]={0,0,1,-1,1,-1,1,-1};
    // PriorityQueue<Integer> que = new PriorityQueue<Integer>(); 
    //HashMap<Integer,Integer> map = new HashMap<Integer,Integer>();
 
    public  static void main(String[] args)   throws Exception, IOException{
     
        
        Reader sc = new Reader(System.in);
        PrintWriter out=new PrintWriter(System.out);
     
        // int n=sc.nextInt();
        // long n=sc.nextLong();
        // char c[][] = new char[h][w];
        // long a[] = new long [n];
        // for (int i=0; i<n; i++ ) {a[i]=sc.nextInt();}
        long ans=0;
        char c[] = sc.nextString().toCharArray();
        int X=sc.nextInt()+8001;
        int Y=sc.nextInt()+8001;
        int x[] = new int[8001];
        int y[] = new int[8001];
        int d = 0, w = 0,xg=0,yg=0, n=c.length;
        for (int i=0 ; i < n; i++) {
            d = 0;
            if(c[i]=='T'){w++;continue;}
            while(i<n &&  c[i]=='F'){d++; i++;}
            if(w%2==0){
                x[xg++] = d;
            }
            else{
                y[yg++] = d;
            }
            i--;
        }

        int dp[][]=new int[xg+10][16050],f=0,st=1;
        dp[0][8001]=1;
        if(c[0]=='F'){
            st=2;
            dp[1][x[0]+8001]++;
        }
        for (int i=st; i<=xg; i++) {
            for (int t=0; t<16010; t++) {
                if(dp[i-1][t]>0){
                    dp[i][t+x[i-1]]++;
                    dp[i][t-x[i-1]]++;
                }
            }
        }
        if(dp[xg][X]>0)f++;

        dp=new int[yg+1][16050];
        dp[0][8001]=1;
        for (int i=1; i<=yg; i++) {
            for (int t=0; t<16010; t++) {
                if(dp[i-1][t]>0){
                    dp[i][t+y[i-1]]++;
                    dp[i][t-y[i-1]]++;
                }
            }
        }
        if(dp[yg][Y]>0)f++;
        out.println(f>1 ? "Yes":"No");
        out.flush();
    }

    static void db(Object... os){
     
        System.err.println(Arrays.deepToString(os));
     
    }
     
    static boolean validpos(int x,int y,int r, int c){
        
        return x<r && 0<=x && y<c && 0<=y;
        
    }
     
    static boolean bit(long x,int k){
        // weather k-th bit (from right) be one or zero
        return  ( 0 < ( (x>>k) & 1 )  )  ? true:false;
    }    
}

class XY {
    int x,y,d;
    XY(int x, int y, int d) {
        this.x=x;
        this.y=y;
        this.d=d;
    } 
}
 
class P implements Comparable<P>{
    int x,y;
    P(int x, int y) {
        this.x=x;
        this.y=y;
    } 
      
    public int compareTo(P p){
        return -x + p.x;//des
    } 
}
 
class Reader
{ 
    private BufferedReader x;
    private StringTokenizer st;
    
    public Reader(InputStream in)
    {
        x = new BufferedReader(new InputStreamReader(in));
        st = null;
    }
    public String nextString() throws IOException
    {
        while( st==null || !st.hasMoreTokens() )
            st = new StringTokenizer(x.readLine());
        return st.nextToken();
    }
    public int nextInt() throws IOException
    {
        return Integer.parseInt(nextString());
    }
    public long nextLong() throws IOException
    {
        return Long.parseLong(nextString());
    }
    public double nextDouble() throws IOException
    {
        return Double.parseDouble(nextString());
    }
}