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.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.io.BufferedWriter;
import java.util.InputMismatchException;
import java.io.IOException;
import java.util.ArrayList;
import java.util.List;
import java.io.Writer;
import java.io.OutputStreamWriter;
import java.util.BitSet;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        OutputWriter out = new OutputWriter(outputStream);
        DFTRobot solver = new DFTRobot();
        solver.solve(1, in, out);
        out.close();
    }

    static class DFTRobot {
        public void solve(int testNumber, InputReader in, OutputWriter out) {
            final int MAX = 16010;
            String s = in.readString();
            int n = s.length();
            int x = in.readInt() + MAX / 2;
            int y = in.readInt() + MAX / 2;

            int i = 0;
            for (; i < n; i++) {
                if (s.charAt(i) == 'T') break;
                x--;
            }
            List<Integer> yList = new ArrayList<>();
            List<Integer> xList = new ArrayList<>();
            int tCnt = 0;
            for (; i < n; i++) {
                if (s.charAt(i) == 'T') {
                    tCnt++;
                } else {
                    int j = i;
                    while (j < n - 1 && s.charAt(j + 1) == 'F') j++;
                    if (tCnt % 2 == 1) yList.add(j - i + 1);
                    else xList.add(j - i + 1);
                    i = j;
                }
            }

            BitSet[] can = new BitSet[2];
            for (int j = 0; j < 2; j++) can[j] = new BitSet(MAX);

            int cur = 0;
            can[cur].set(MAX / 2);
            for (int j = 0; j < yList.size(); j++) {
                int next = 1 - cur;
                can[next].clear();
                for (int k = 0; k < MAX; k++) {
                    if (can[cur].get(k)) {
                        can[next].set(k + yList.get(j));
                        can[next].set(k - yList.get(j));
                    }
                }
                cur = next;
            }
            if (!can[cur].get(y)) {
                out.printLine("No");
                return;
            }

            cur = 0;
            can[cur].clear();
            can[cur].set(MAX / 2);
            for (int j = 0; j < xList.size(); j++) {
                int next = 1 - cur;
                can[next].clear();
                for (int k = 0; k < MAX; k++) {
                    if (can[cur].get(k)) {
                        can[next].set(k + xList.get(j));
                        can[next].set(k - xList.get(j));
                    }
                }
                cur = next;
            }
            out.printLine(x >= 0 && can[cur].get(x) ? "Yes" : "No");
        }

    }

    static class InputReader {
        private InputStream stream;
        private byte[] buf = new byte[1024];
        private int curChar;
        private int numChars;
        private InputReader.SpaceCharFilter filter;

        public InputReader(InputStream stream) {
            this.stream = stream;
        }

        public int read() {
            if (numChars == -1) {
                throw new InputMismatchException();
            }
            if (curChar >= numChars) {
                curChar = 0;
                try {
                    numChars = stream.read(buf);
                } catch (IOException e) {
                    throw new InputMismatchException();
                }
                if (numChars <= 0) {
                    return -1;
                }
            }
            return buf[curChar++];
        }

        public int readInt() {
            int c = read();
            while (isSpaceChar(c)) {
                c = read();
            }
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            int res = 0;
            do {
                if (c < '0' || c > '9') {
                    throw new InputMismatchException();
                }
                res *= 10;
                res += c - '0';
                c = read();
            } while (!isSpaceChar(c));
            return res * sgn;
        }

        public String readString() {
            int c = read();
            while (isSpaceChar(c)) {
                c = read();
            }
            StringBuilder res = new StringBuilder();
            do {
                if (Character.isValidCodePoint(c)) {
                    res.appendCodePoint(c);
                }
                c = read();
            } while (!isSpaceChar(c));
            return res.toString();
        }

        public boolean isSpaceChar(int c) {
            if (filter != null) {
                return filter.isSpaceChar(c);
            }
            return isWhitespace(c);
        }

        public static boolean isWhitespace(int c) {
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }

        public interface SpaceCharFilter {
            public boolean isSpaceChar(int ch);

        }

    }

    static class OutputWriter {
        private final PrintWriter writer;

        public OutputWriter(OutputStream outputStream) {
            writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
        }

        public OutputWriter(Writer writer) {
            this.writer = new PrintWriter(writer);
        }

        public void print(Object... objects) {
            for (int i = 0; i < objects.length; i++) {
                if (i != 0) {
                    writer.print(' ');
                }
                writer.print(objects[i]);
            }
        }

        public void printLine(Object... objects) {
            print(objects);
            writer.println();
        }

        public void close() {
            writer.close();
        }

    }
}

