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 C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Text;
using System.Linq;
using System.Collections;
using System.Collections.Generic;
using static System.Math;

namespace AtCoder
{
    public class Program
    {
        public static bool check(int[] move,int tag)
        {
            if (move.Length == 0)
            {
                return tag == 0;
            }

            int msum = move.Sum();
            int n = move.Length;
            var dp=Enumerable.Range(1, n + 1).Select(xx => new bool[msum + 2]).ToArray();
            dp[0][0] = true;
            if (msum < tag) return false;
            for(int i = 0; i < n; i++)
            {

                for(int j = 0; j <= msum; j++)
                {
                        if (move[i] + j <= msum && Abs(move[i] - j) <= msum)
                            dp[i + 1][j] = dp[i][Abs(move[i] - j)] | dp[i][move[i] + j];
                        else if (Abs(move[i] - j) <= msum)
                            dp[i + 1][j] = dp[i][Abs(move[i] - j)];
                        else if (move[i] + j <= msum)
                            dp[i + 1][j] = dp[i][move[i] + j];
                    
 
                }
            }
            try
            {
                return dp.Last()[Abs(tag)];
            }
            catch { return false; }
        }





        public static void Main(string[] args)
        {
            var command =( Console.ReadLine()+"TTT").Split('T').ToArray();
            var xmovegen= command.Where((value,index)=>index%2==0).Select(value=>value.Length);
            var ymovegen = command.Where((value, index) => index % 2 == 1).Select(value => value.Length).ToList();
             ymovegen.RemoveAll(yy=>yy==0);
            var ymove = ymovegen.ToArray();
            int x, y;
            Read2Ints(out x, out y);
            x -= xmovegen.First();
            var xmovegen2=xmovegen.Skip(1).ToList();
            xmovegen2.RemoveAll(xx => xx == 0);
            var xmove = xmovegen2.ToArray();

            Write(check(xmove,x)&&check(ymove,y) ? "Yes":"No");
            }

        private static void Read2Ints(out int a, out int b)
        {
            var temp = ReadInts();
            a = temp[0];
            b = temp[1];
        }
        private static void Read3Ints(out int a, out int b, out int c)
        {
            var temp = ReadInts();
            a = temp[0];
            b = temp[1];
            c = temp[2];
        }

        private static void Write(IEnumerable<string> target, string sep = " ") { Console.WriteLine(string.Join(sep, target)); }
        private static void Write(IEnumerable<double> target, string sep = " ") { Console.WriteLine(string.Join(sep, target)); }
        private static void Write(IEnumerable<long> target, string sep = " ") { Console.WriteLine(string.Join(sep, target)); }
        private static void Writeints(IEnumerable<int> target, string sep = " ") { Console.WriteLine(string.Join(sep, target)); }
        private static void Write<T>(T str) { Console.WriteLine(str); }
        private static string[] ReadStrings() { return Console.ReadLine().Split(' '); }
        private static int ReadInt() { return int.Parse(Console.ReadLine()); }
        private static double ReadDouble() { return double.Parse(Console.ReadLine()); }
        private static int[] ReadInts() { return Console.ReadLine().Split(' ').Select(x => int.Parse(x)).ToArray(); }
        private static double[] ReadDoubles() { return Console.ReadLine().Split(' ').Select(x => double.Parse(x)).ToArray(); }

    }

}