Buggy python submission (verdict: Time Limit Exceeded):
s = input()
n = len(s)
x, y = map(int, input().split())
for i in range(n):
    if s[i]=='T':
        break
else:
    i += 1
x -= i
xs = {}
ys = {}
now = 0
xy = 'y'
for j in range(i+1, n+1):
    if j<n and s[j]=='F':
        now += 1
        continue
    if xy=='x':
        if now>0:
            if now not in xs:
                xs[now] = 0
            xs[now] += 1
        xy = 'y'
    else:
        if now>0:
            if now not in ys:
                ys[now] = 0
            ys[now] += 1
        xy = 'x'
    now = 0

def dfs(li, idx, now, target):
    if idx==len(li):
        return now==target
    for i in range(li[idx][1]+1):
        if dfs(li, idx+1, now+li[idx][0]*(li[idx][1]-2*i), target):
            return True
    return False

ans = dfs(list(xs.items()), 0, 0, x) and dfs(list(ys.items()), 0, 0, y)
print('Yes' if ans else 'No')

Fixed submission:
s = input()
n = len(s)
x, y = map(int, input().split())
for i in range(n):
    if s[i]=='T':
        break
else:
    i += 1
dp = {i}
xs = []
ys = []
now = 0
xy = 'y'
for j in range(i+1, n+1):
    if j<n and s[j]=='F':
        now += 1
        continue
    if xy=='x':
        if now>0:
            xs.append(now)
        xy = 'y'
    else:
        if now>0:
            ys.append(now)
        xy = 'x'
    now = 0

for i in xs:
    newdp = set()
    for j in dp:
        newdp.add(j+i)
        newdp.add(j-i)
    dp = newdp
if x not in dp:
    print('No')
    exit(0)
dp = {0}
for i in ys:
    newdp = set()
    for j in dp:
        newdp.add(j+i)
        newdp.add(j-i)
    dp = newdp
if y in dp:
    print('Yes')
else:
    print('No')

Buggy python submission (verdict: Time Limit Exceeded):
s = input()
n = len(s)
x, y = map(int, input().split())
for i in range(n):
    if s[i]=='T':
        break
else:
    i += 1
x -= i
xs = {}
ys = {}
now = 0
xy = 'y'
for j in range(i+1, n+1):
    if j<n and s[j]=='F':
        now += 1
        continue
    if xy=='x':
        if now>0:
            if now not in xs:
                xs[now] = 0
            xs[now] += 1
        xy = 'y'
    else:
        if now>0:
            if now not in ys:
                ys[now] = 0
            ys[now] += 1
        xy = 'x'
    now = 0

def dfs(li, idx, now, target):
    if idx==len(li):
        return now==target
    for i in range(li[idx][1]+1):
        if dfs(li, idx+1, now+li[idx][0]*(li[idx][1]-2*i), target):
            return True
    return False

ans = dfs(list(xs.items()), 0, 0, x) and dfs(list(ys.items()), 0, 0, y)
print('Yes' if ans else 'No')

Fixed submission:
s = input()
n = len(s)
x, y = map(int, input().split())
for i in range(n):
    if s[i]=='T':
        break
else:
    i += 1
dp = {i}
xs = []
ys = []
now = 0
xy = 'y'
for j in range(i+1, n+1):
    if j<n and s[j]=='F':
        now += 1
        continue
    if xy=='x':
        if now>0:
            xs.append(now)
        xy = 'y'
    else:
        if now>0:
            ys.append(now)
        xy = 'x'
    now = 0

for i in xs:
    newdp = set()
    for j in dp:
        newdp.add(j+i)
        newdp.add(j-i)
    dp = newdp
if x not in dp:
    print('No')
    exit(0)
dp = {0}
for i in ys:
    newdp = set()
    for j in dp:
        newdp.add(j+i)
        newdp.add(j-i)
    dp = newdp
if y in dp:
    print('Yes')
else:
    print('No')