Problem:
Score : 500 points

Problem Statement

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.

Sample Input 1

FTFFTFFF
4 2

Sample Output 1

Yes

The objective can be achieved by, for example, turning counterclockwise in the first T and turning clockwise in the second T.

Sample Input 2

FTFFTFFF
-2 -2

Sample Output 2

Yes

The objective can be achieved by, for example, turning clockwise in the first T and turning clockwise in the second T.

Sample Input 3

FF
1 0

Sample Output 3

No

Sample Input 4

TF
1 0

Sample Output 4

No

Sample Input 5

FFTTFF
0 0

Sample Output 5

Yes

The objective can be achieved by, for example, turning counterclockwise in the first T and turning counterclockwise in the second T.

Sample Input 6

TTTT
1 0

Sample Output 6

No

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Set;
import java.io.IOException;
import java.util.InputMismatchException;
import java.io.InputStreamReader;
import java.util.TreeSet;
import java.util.ArrayList;
import java.util.List;
import java.util.StringTokenizer;
import java.io.BufferedReader;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 *
 * @author amotoma3
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        TaskD solver = new TaskD();
        solver.solve(1, in, out);
        out.close();
    }

    static class TaskD {
        public void solve(int testNumber, InputReader in, PrintWriter out) {
            String s = in.nextString() + "T";
            int n = s.length();

            int x = in.nextInt();
            int y = in.nextInt();

            List<Integer> xList = new ArrayList<>();
            List<Integer> yList = new ArrayList<>();
            int index = 0;
            int turn = 0;
            while (index < n) {
                int cnt = 0;
                while (s.charAt(index) == 'F') {
                    cnt++;
                    index++;
                }
                if (cnt > 0) {
                    if (turn % 2 == 0) {
                        xList.add(cnt);
                    } else {
                        yList.add(cnt);
                    }
                }
                turn++;
                index++;
            }

            if (xList.size() == 1 && x < 0) {
                out.println("No");
                return;
            }

            Set<Integer> xSet = new TreeSet<>();
            xSet.add(0);
            xSet = calcSets(xList, xSet);

            Set<Integer> ySet = new TreeSet<>();
            ySet.add(0);
            ySet = calcSets(yList, ySet);

            out.println(xSet.contains(x) && ySet.contains(y) ? "Yes" : "No");
        }

        private Set<Integer> calcSets(List<Integer> list, Set<Integer> set) {
            for (int i = 0; i < list.size(); i++) {
                Set<Integer> next = new TreeSet<>();
                for (int p : set) {
                    next.add(p + list.get(i));
                    next.add(p - list.get(i));
                }
                set = next;
            }
            return set;
        }

    }

    static class InputReader {
        BufferedReader in;
        StringTokenizer tok;

        public String nextString() {
            while (!tok.hasMoreTokens()) {
                try {
                    tok = new StringTokenizer(in.readLine(), " ");
                } catch (IOException e) {
                    throw new InputMismatchException();
                }
            }
            return tok.nextToken();
        }

        public int nextInt() {
            return Integer.parseInt(nextString());
        }

        public InputReader(InputStream inputStream) {
            in = new BufferedReader(new InputStreamReader(inputStream));
            tok = new StringTokenizer("");
        }

    }
}