Buggy python submission (verdict: Time Limit Exceeded):
from itertools import product
from copy import deepcopy
S = list(input())
x, y = map( int, input().split())
UD = [] #updown
LR = [0] #leftright
X = deepcopy(LR)
t = 0
for w in S:
    if w == 'F':
        X[-1] += 1
    elif t == 0:
        LR = deepcopy(X)
        X = deepcopy(UD)
        X.append(0)
        t = 1
    else:
        UD = deepcopy(X)
        X = deepcopy(LR)
        X.append(0)
        t = 0
if t == 0:
    LR = deepcopy(X)
else:
    UD = deepcopy(X)
x = x - LR.pop(0)
G = 0
H = 0
dpx = [0]
k = 0
while k <= len(LR)-1:
    dpx_kari = deepcopy(dpx)
    dpx = []
    for m in dpx_kari:
        dpx.append(m + LR[k])
        dpx.append(m - LR[k])
    k += 1
k = 0
dpy = [0]
while k <= len(UD)-1:
    dpy_kari = deepcopy(dpy)
    dpy = []
    for m in dpy_kari:
        dpy.append(m + UD[k])
        dpy.append(m - UD[k])
    k += 1

if x in dpx and y in dpy:
    print('Yes')
else:
    print('No')

Fixed submission:
S = input()
x, y = map( int, input().split())
c = 0
ver = []
row = []
l = 0
for s in S:
    if s == "F":
        c += 1
    else:
        if l%2 == 0:
            row.append(c)
        else:
            ver.append(c)
        l += 1
        c = 0
if l%2 == 0:
    row.append(c)
else:
    ver.append(c)

x -= row.pop(0)
row.sort( key = None, reverse = True)
ver.sort( key = None, reverse = True)
nx, ny = 0, 0
for a in row:
    if a >= 0:
        if nx <= x:
            nx += a
        else:
            nx -= a
    else:
        if nx > x:
            nx += a
        else:
            nx -= a
for a in ver:
    if a >= 0:
        if ny <= y:
            ny += a
        else:
            ny -= a
    else:
        if ny > y:
            ny += a
        else:
            ny -= a

if x == nx and y == ny:
    print("Yes")
else:
    print("No")

Buggy python submission (verdict: Time Limit Exceeded):
from itertools import product
from copy import deepcopy
S = list(input())
x, y = map( int, input().split())
UD = [] #updown
LR = [0] #leftright
X = deepcopy(LR)
t = 0
for w in S:
    if w == 'F':
        X[-1] += 1
    elif t == 0:
        LR = deepcopy(X)
        X = deepcopy(UD)
        X.append(0)
        t = 1
    else:
        UD = deepcopy(X)
        X = deepcopy(LR)
        X.append(0)
        t = 0
if t == 0:
    LR = deepcopy(X)
else:
    UD = deepcopy(X)
x = x - LR.pop(0)
G = 0
H = 0
LLR = len(LR)
LUD = len(UD)
for B in product([-1,1], repeat = LLR):
    Z = 0
    for i in range(LLR):
        Z += LR[i]*B[i]
    if Z == x:
        G = 1

for B in product([-1,1],repeat = LUD):
    Z = 0
    for i in range(LUD):
        Z += UD[i]*B[i]
    if Z == y:
        H = 1
print('Yes' if G == 1 and H == 1 else 'No')

Fixed submission:
S = input()
x, y = map( int, input().split())
c = 0
ver = []
row = []
l = 0
for s in S:
    if s == "F":
        c += 1
    else:
        if l%2 == 0:
            row.append(c)
        else:
            ver.append(c)
        l += 1
        c = 0
if l%2 == 0:
    row.append(c)
else:
    ver.append(c)

x -= row.pop(0)
row.sort( key = None, reverse = True)
ver.sort( key = None, reverse = True)
nx, ny = 0, 0
for a in row:
    if a >= 0:
        if nx <= x:
            nx += a
        else:
            nx -= a
    else:
        if nx > x:
            nx += a
        else:
            nx -= a
for a in ver:
    if a >= 0:
        if ny <= y:
            ny += a
        else:
            ny -= a
    else:
        if ny > y:
            ny += a
        else:
            ny -= a

if x == nx and y == ny:
    print("Yes")
else:
    print("No")