Buggy python submission (verdict: Runtime Error):
S = input()
X, Y = map(int, input().split())

def run_length(s) -> list:
    res = [[s[0], 1]]
    for i in range(1, len(s)):
        if res[-1][0] == s[i]:
            res[-1][1] += 1
        else:
            res.append([s[i], 1])
    return res

RL = run_length(S)
if RL[0][0] == 'T':
    RL = [['F', 0]] + RL

SIZE = len(S)
nx = 1 << SIZE
ny = 1 << SIZE

x_flag = 1
for i in range(0, len(RL), 2):
    s, l = RL[i]
    if i == 0:
        nx = nx << l
    else:
        x_flag = (x_flag + RL[i - 1][1]) % 2
        if x_flag:
            nx = (nx << l) | (nx >> l)
        else:
            ny = (ny << l) | (ny >> l)

if ((nx >> (SIZE + X)) & 1) & ((ny >> (SIZE + Y)) & 1):
    print("Yes")
else:
    print("No")

Fixed submission:
S = input()
X, Y = map(int, input().split())

SIZE = 10 ** 4

M = [0] if S[0] == "T" else []
for i in range(1, len(S)):
  if S[i] != S[i-1]:
    M.append(i)
M.append(len(S))
M = [0] + M
#print("M:", M)

L = []
for i in range(1, len(M)):
  L.append(M[i] - M[i - 1])
#print("L:", L)

for i in range(3, len(L), 2):
  L[i] += L[i - 2]
L = [0] + L
#print("L:", L)

x = 1 << SIZE
y = 1 << SIZE
#print("x:", bin(x)[2::])
#print("y:", bin(y)[2::])

for i in range(1, len(L), 2):
  dist = L[i]
  dirc = L[i - 1]
  #print("dist, dirc:", dist, dirc)
  if i == 1:
    x = x << dist
  else:
    if dirc % 2 == 0:
      x = (x << dist) | (x >> dist)
    else:
      y = (y << dist) | (y >> dist)
      
if (x >> SIZE + X) & 1 == 1 and (y >> SIZE + Y) & 1 == 1:
  print("Yes")
else:
  print("No")

Buggy python submission (verdict: Runtime Error):
S = input()
X, Y = map(int, input().split())

T = [0] if S[0] == "T" else []
for i in range(1, len(S)):
  if S[i] != S[i-1]:
    T.append(i)
T.append(len(S))
#print("T:", T)

U = [T[0]]
for i in range(1, len(T)):
  U.append(T[i] - T[i-1])
#print("U:", U)

sum_T = 0
DX, DY = [], []
for i in range(len(U)):
  if i % 2:
    sum_T += U[i]
  else:
    if sum_T % 2 == 0:
      DX.append(U[i])
    else:
      DY.append(U[i])
#print("DX, DY:", DX, DY)

SX, SY = sum(DX), sum(DY)

ax = 1 << SX + DX[0]
for i in range(1, len(DX)):
  ax |= (ax << DX[i]) | (ax >> DX[i])
#print("ax:", bin(ax))
if SX + X < len(bin(ax)[2:]):
  #print((bin(ax)[2:])[::-1][SX + X])
  #print("O:", SX + DX[0])
  aax = int((bin(ax)[2:])[::-1][SX + X])
else:
  aax = 0

ay = 1 << SY
for i in range(0, len(DY)):
  ay |= (ay << DY[i]) | (ay >> DY[i])
#print("ay:", bin(ay))
if SY + Y < len(bin(ay)[2:]):
  #print((bin(ay)[2:])[::-1][SY + Y])
  #print("O:", SY)
  aay = int((bin(ay)[2:])[::-1][SY + Y])
else:
  aay = 0

print("Yes" if aax * aay else "No")

Fixed submission:
S = input()
X, Y = map(int, input().split())

SIZE = 10 ** 4

M = [0] if S[0] == "T" else []
for i in range(1, len(S)):
  if S[i] != S[i-1]:
    M.append(i)
M.append(len(S))
M = [0] + M
#print("M:", M)

L = []
for i in range(1, len(M)):
  L.append(M[i] - M[i - 1])
#print("L:", L)

for i in range(3, len(L), 2):
  L[i] += L[i - 2]
L = [0] + L
#print("L:", L)

x = 1 << SIZE
y = 1 << SIZE
#print("x:", bin(x)[2::])
#print("y:", bin(y)[2::])

for i in range(1, len(L), 2):
  dist = L[i]
  dirc = L[i - 1]
  #print("dist, dirc:", dist, dirc)
  if i == 1:
    x = x << dist
  else:
    if dirc % 2 == 0:
      x = (x << dist) | (x >> dist)
    else:
      y = (y << dist) | (y >> dist)
      
if (x >> SIZE + X) & 1 == 1 and (y >> SIZE + Y) & 1 == 1:
  print("Yes")
else:
  print("No")