Buggy python submission (verdict: Time Limit Exceeded):
#!/usr/bin/env python3
import sys
sys.setrecursionlimit(10**6)

s = str(input())
obj_x, obj_y = list(map(int, input().split()))


x = []
y = []
flag = 0
num = 0
for i in range(len(s)):
    if s[i] == "T":
        if flag % 2 == 0:
            x.append(num)
        else:
            y.append(num)
        flag += 1
        num = 0
    else:
        num += 1

if num > 0:
    if flag % 2 == 0:
        x.append(num)
    else:
        y.append(num)


if x == []:
    x = [0]
if y == []:
    y = [0]


num_x = sum(x)
num_y = sum(y)

max_x = num_x*2+1
max_y = num_y*2+1

dp_x = [[0]*((len(x)+1)) for i in range(max_x)]
dp_y = [[0]*((len(y)+1)) for i in range(max_y)]

dp_x[num_x][0] = 1
dp_y[num_y][0] = 1

# print(x)
dp_x[num_x+x[0]][1]=1

# print(dp_x)

for i in range(1, len(x)):
    num = x[i]
    for j in range(0, len(dp_x)):
        if j+num < max_x:
            dp_x[j+num][i+1] = max(dp_x[j+num][i+1], dp_x[j][i]*1)
        if j-num >= 0:
            dp_x[j-num][i+1] = max(dp_x[j-num][i+1], dp_x[j][i]*1)
        # if dp_x[j][i] == 1:
        #     print(j+num, j-num)
for i in range(0, len(y)):
    num = y[i]
    for j in range(0, len(dp_y)):
        if j+num < max_y:
            dp_y[j+num][i+1] = max(dp_y[j+num][i+1], dp_y[j][i]*1)
        if j-num >= 0:
            dp_y[j-num][i+1] = max(dp_y[j-num][i+1], dp_y[j][i]*1)
        # if dp_y[j][i] == 1:
        #     print(j+num, j-num)


if (num_x+obj_x)<len(dp_x) and (num_x+obj_x)>=0:
    ans_x = dp_x[num_x+obj_x][-1]
else:
    print("No")
    exit()
if (num_y+obj_y)<len(dp_y) and (num_y+obj_y)>=0:
    ans_y = dp_y[num_y+obj_y][-1]
else:
    print("No")
    exit()

# print(dp_x)
if ans_x*ans_y == 1:
    print("Yes")
else:
    print("No")


Fixed submission:
#!/usr/bin/env python3
import sys
sys.setrecursionlimit(10**6)

s = str(input())
obj_x, obj_y = list(map(int, input().split()))


x = []
y = []
flag = 0
num = 0
for i in range(len(s)):
    if s[i] == "T":
        if flag % 2 == 0:
            x.append(num)
        else:
            y.append(num)
        flag += 1
        num = 0
    else:
        num += 1

if num > 0:
    if flag % 2 == 0:
        x.append(num)
    else:
        y.append(num)


if x == []:
    x = [0]
if y == []:
    y = [0]


num_x = sum(x)
num_y = sum(y)

max_x = num_x*2+1
max_y = num_y*2+1

dp_x = [[0]*((len(x)+1)) for i in range(max_x)]
dp_y = [[0]*((len(y)+1)) for i in range(max_y)]

dp_x[num_x][0] = 1
dp_y[num_y][0] = 1

# print(x)
dp_x[num_x+x[0]][1]=1

# print(dp_x)

for i in range(1, len(x)):
    num = x[i]
    for j in range(0, len(dp_x)):
        if j+num < max_x:
            dp_x[j+num][i+1] = max(dp_x[j+num][i+1], dp_x[j][i]*1)
        if j-num >= 0:
            dp_x[j-num][i+1] = max(dp_x[j-num][i+1], dp_x[j][i]*1)
        # if dp_x[j][i] == 1:
        #     print(j+num, j-num)
for i in range(0, len(y)):
    num = y[i]
    for j in range(0, len(dp_y)):
        if j+num < max_y:
            dp_y[j+num][i+1] = max(dp_y[j+num][i+1], dp_y[j][i]*1)
        if j-num >= 0:
            dp_y[j-num][i+1] = max(dp_y[j-num][i+1], dp_y[j][i]*1)
        # if dp_y[j][i] == 1:
        #     print(j+num, j-num)


if (num_x+obj_x)<len(dp_x) and (num_x+obj_x)>=0:
    ans_x = dp_x[num_x+obj_x][-1]
else:
    print("No")
    exit()
if (num_y+obj_y)<len(dp_y) and (num_y+obj_y)>=0:
    ans_y = dp_y[num_y+obj_y][-1]
else:
    print("No")
    exit()

# print(dp_x)
if ans_x*ans_y == 1:
    print("Yes")
else:
    print("No")

Buggy python submission (verdict: Runtime Error):
#!/usr/bin/env python3
import sys
sys.setrecursionlimit(10**6)

s = str(input())
obj_x, obj_y = list(map(int, input().split()))


x = []
y = []
flag = 0
num = 0
for i in range(len(s)):
    if s[i] == "T":
        if flag % 2 == 0:
            x.append(num)
        else:
            y.append(num)
        flag += 1
        num = 0
    else:
        num += 1

if num > 0:
    if flag % 2 == 0:
        x.append(num)
    else:
        y.append(num)


if x == []:
    x = [0]
if y == []:
    y = [0]

# print(x)
# print(y)

# print(sum(x))
# print(sum(y))
num_x = sum(x)
num_y = sum(y)
# num_x = 8000
# num_y = 8000
max_x = num_x*2+1
max_y = num_y*2+1

dp_x = [[0]*((len(x)+1)) for i in range(max_x)]
dp_y = [[0]*((len(y)+1)) for i in range(max_y)]

dp_x[num_x][0] = 1
dp_y[num_y][0] = 1

for i in range(0, len(x)):
    num = x[i]
    for j in range(0, len(dp_x)):
        if j+num < max_x:
            dp_x[j+num][i+1] = max(dp_x[j+num][i+1], dp_x[j][i]*1)
        if j-num >= 0:
            dp_x[j-num][i+1] = max(dp_x[j-num][i+1], dp_x[j][i]*1)
        # if dp_x[j][i] == 1:
            # print(j+num, j-num)
for i in range(0, len(y)):
    num = y[i]
    for j in range(0, len(dp_y)):

        if j+num < max_y:
            dp_y[j+num][i+1] = max(dp_y[j+num][i+1], dp_y[j][i]*1)
        if j-num >= 0:
            dp_y[j-num][i+1] = max(dp_y[j-num][i+1], dp_y[j][i]*1)
        # if dp_y[j][i] == 1:
            # print(j+num, j-num)

if num_x+obj_x<len(dp_x):
    ans_x = dp_x[num_x+obj_x][-1]
else:
    print("No")
    exit()
if num_y+obj_y<len(dp_y):
    ans_y = dp_y[num_y+obj_y][-1]
else:
    print("No")
    exit()

# print(dp_x)
if ans_x*ans_y == 1:
    print("Yes")
else:
    print("No")


Fixed submission:
#!/usr/bin/env python3
import sys
sys.setrecursionlimit(10**6)

s = str(input())
obj_x, obj_y = list(map(int, input().split()))


x = []
y = []
flag = 0
num = 0
for i in range(len(s)):
    if s[i] == "T":
        if flag % 2 == 0:
            x.append(num)
        else:
            y.append(num)
        flag += 1
        num = 0
    else:
        num += 1

if num > 0:
    if flag % 2 == 0:
        x.append(num)
    else:
        y.append(num)


if x == []:
    x = [0]
if y == []:
    y = [0]


num_x = sum(x)
num_y = sum(y)

max_x = num_x*2+1
max_y = num_y*2+1

dp_x = [[0]*((len(x)+1)) for i in range(max_x)]
dp_y = [[0]*((len(y)+1)) for i in range(max_y)]

dp_x[num_x][0] = 1
dp_y[num_y][0] = 1

# print(x)
dp_x[num_x+x[0]][1]=1

# print(dp_x)

for i in range(1, len(x)):
    num = x[i]
    for j in range(0, len(dp_x)):
        if j+num < max_x:
            dp_x[j+num][i+1] = max(dp_x[j+num][i+1], dp_x[j][i]*1)
        if j-num >= 0:
            dp_x[j-num][i+1] = max(dp_x[j-num][i+1], dp_x[j][i]*1)
        # if dp_x[j][i] == 1:
        #     print(j+num, j-num)
for i in range(0, len(y)):
    num = y[i]
    for j in range(0, len(dp_y)):
        if j+num < max_y:
            dp_y[j+num][i+1] = max(dp_y[j+num][i+1], dp_y[j][i]*1)
        if j-num >= 0:
            dp_y[j-num][i+1] = max(dp_y[j-num][i+1], dp_y[j][i]*1)
        # if dp_y[j][i] == 1:
        #     print(j+num, j-num)


if (num_x+obj_x)<len(dp_x) and (num_x+obj_x)>=0:
    ans_x = dp_x[num_x+obj_x][-1]
else:
    print("No")
    exit()
if (num_y+obj_y)<len(dp_y) and (num_y+obj_y)>=0:
    ans_y = dp_y[num_y+obj_y][-1]
else:
    print("No")
    exit()

# print(dp_x)
if ans_x*ans_y == 1:
    print("Yes")
else:
    print("No")

Buggy python submission (verdict: Runtime Error):
#!/usr/bin/env python3
import sys
sys.setrecursionlimit(10**6)

s = str(input())
obj_x, obj_y = list(map(int, input().split()))


x = []
y = []
flag = 0
num = 0
num_x = 0
num_y = 0
for i in range(len(s)):
    if s[i] == "T":
        if flag % 2 == 0:
            x.append(num)
            num_x += abs(num)
        else:
            y.append(num)
            num_y += abs(num)
        flag += 1
        num = 0
    else:
        num += 1

if num > 0:
    if flag % 2 == 0:
        x.append(num)
        num_x += abs(num)
    else:
        y.append(num)
        num_y += abs(num)


if x == []:
    x = [0]
if y == []:
    y = [0]

# print(x)
# print(y)

# num_x = sum(x)+2
# num_y = sum(y)+2
# num_x = 8000
# num_y = 8000
num_x += 1
num_y += 1
max_x = num_x*2+1
max_y = num_y*2+1

dp_x = [[0]*((len(x)+1)) for i in range(max_x)]
dp_y = [[0]*((len(y)+1)) for i in range(max_y)]

dp_x[num_x][0] = 1
dp_y[num_y][0] = 1

for i in range(0, len(x)):
    num = x[i]
    for j in range(0, len(dp_x)):

        if j+num < max_x:
            dp_x[j+num][i+1] = max(dp_x[j+num][i+1], dp_x[j][i]*1)
        if j-num > 0:
            dp_x[j-num][i+1] = max(dp_x[j-num][i+1], dp_x[j][i]*1)
        # if dp_x[j][i] == 1:
            # print(j+num, j-num)
for i in range(0, len(y)):
    num = y[i]
    for j in range(0, len(dp_y)):

        if j+num < max_y:
            dp_y[j+num][i+1] = max(dp_y[j+num][i+1], dp_y[j][i]*1)
        if j-num > 0:
            dp_y[j-num][i+1] = max(dp_y[j-num][i+1], dp_y[j][i]*1)
        # if dp_y[j][i] == 1:
            # print(j+num, j-num)


ans_x = dp_x[num_x+obj_x][-1]
ans_y = dp_y[num_y+obj_y][-1]

if ans_x*ans_y == 1:
    print("Yes")
else:
    print("No")


Fixed submission:
#!/usr/bin/env python3
import sys
sys.setrecursionlimit(10**6)

s = str(input())
obj_x, obj_y = list(map(int, input().split()))


x = []
y = []
flag = 0
num = 0
for i in range(len(s)):
    if s[i] == "T":
        if flag % 2 == 0:
            x.append(num)
        else:
            y.append(num)
        flag += 1
        num = 0
    else:
        num += 1

if num > 0:
    if flag % 2 == 0:
        x.append(num)
    else:
        y.append(num)


if x == []:
    x = [0]
if y == []:
    y = [0]


num_x = sum(x)
num_y = sum(y)

max_x = num_x*2+1
max_y = num_y*2+1

dp_x = [[0]*((len(x)+1)) for i in range(max_x)]
dp_y = [[0]*((len(y)+1)) for i in range(max_y)]

dp_x[num_x][0] = 1
dp_y[num_y][0] = 1

# print(x)
dp_x[num_x+x[0]][1]=1

# print(dp_x)

for i in range(1, len(x)):
    num = x[i]
    for j in range(0, len(dp_x)):
        if j+num < max_x:
            dp_x[j+num][i+1] = max(dp_x[j+num][i+1], dp_x[j][i]*1)
        if j-num >= 0:
            dp_x[j-num][i+1] = max(dp_x[j-num][i+1], dp_x[j][i]*1)
        # if dp_x[j][i] == 1:
        #     print(j+num, j-num)
for i in range(0, len(y)):
    num = y[i]
    for j in range(0, len(dp_y)):
        if j+num < max_y:
            dp_y[j+num][i+1] = max(dp_y[j+num][i+1], dp_y[j][i]*1)
        if j-num >= 0:
            dp_y[j-num][i+1] = max(dp_y[j-num][i+1], dp_y[j][i]*1)
        # if dp_y[j][i] == 1:
        #     print(j+num, j-num)


if (num_x+obj_x)<len(dp_x) and (num_x+obj_x)>=0:
    ans_x = dp_x[num_x+obj_x][-1]
else:
    print("No")
    exit()
if (num_y+obj_y)<len(dp_y) and (num_y+obj_y)>=0:
    ans_y = dp_y[num_y+obj_y][-1]
else:
    print("No")
    exit()

# print(dp_x)
if ans_x*ans_y == 1:
    print("Yes")
else:
    print("No")

Buggy python submission (verdict: Runtime Error):
#!/usr/bin/env python3
import sys
sys.setrecursionlimit(10**6)

s = str(input())
obj_x, obj_y = list(map(int, input().split()))


x = []
y = []
flag = 0
num = 0
for i in range(len(s)):
    if s[i] == "T":
        if flag % 2 == 0:
            x.append(num)
        else:
            y.append(num)
        flag += 1
        num = 0
    else:
        num += 1

if num > 0:
    if flag % 2 == 0:
        x.append(num)
    else:
        y.append(num)


if x == []:
    x = [0]
if y == []:
    y = [0]

# print(x)
# print(y)

num_x = sum(x)+1
num_y = sum(y)+1
max_x = num_x*2+1
max_y = num_y*2+1

dp_x = [[0]*((len(x)+1)) for i in range(num_x*2+1)]
dp_y = [[0]*((len(y)+1)) for i in range(num_y*2+1)]

dp_x[num_x][0] = 1
dp_y[num_y][0] = 1

for i in range(0, len(x)):
    num = x[i]
    for j in range(0, len(dp_x)):

        if j+num < max_x:
            dp_x[j+num][i+1] = max(dp_x[j+num][i+1], dp_x[j][i]*1)
        if j-num > 0:
            dp_x[j-num][i+1] = max(dp_x[j-num][i+1], dp_x[j][i]*1)
        # if dp_x[j][i] == 1:
            # print(j+num, j-num)
for i in range(0, len(y)):
    num = y[i]
    for j in range(0, len(dp_y)):

        if j+num < max_y:
            dp_y[j+num][i+1] = max(dp_y[j+num][i+1], dp_y[j][i]*1)
        if j-num > 0:
            dp_y[j-num][i+1] = max(dp_y[j-num][i+1], dp_y[j][i]*1)
        # if dp_y[j][i] == 1:
            # print(j+num, j-num)


ans_x = dp_x[num_x+obj_x][-1]
ans_y = dp_y[num_y+obj_y][-1]

if ans_x*ans_y == 1:
    print("Yes")
else:
    print("No")


Fixed submission:
#!/usr/bin/env python3
import sys
sys.setrecursionlimit(10**6)

s = str(input())
obj_x, obj_y = list(map(int, input().split()))


x = []
y = []
flag = 0
num = 0
for i in range(len(s)):
    if s[i] == "T":
        if flag % 2 == 0:
            x.append(num)
        else:
            y.append(num)
        flag += 1
        num = 0
    else:
        num += 1

if num > 0:
    if flag % 2 == 0:
        x.append(num)
    else:
        y.append(num)


if x == []:
    x = [0]
if y == []:
    y = [0]


num_x = sum(x)
num_y = sum(y)

max_x = num_x*2+1
max_y = num_y*2+1

dp_x = [[0]*((len(x)+1)) for i in range(max_x)]
dp_y = [[0]*((len(y)+1)) for i in range(max_y)]

dp_x[num_x][0] = 1
dp_y[num_y][0] = 1

# print(x)
dp_x[num_x+x[0]][1]=1

# print(dp_x)

for i in range(1, len(x)):
    num = x[i]
    for j in range(0, len(dp_x)):
        if j+num < max_x:
            dp_x[j+num][i+1] = max(dp_x[j+num][i+1], dp_x[j][i]*1)
        if j-num >= 0:
            dp_x[j-num][i+1] = max(dp_x[j-num][i+1], dp_x[j][i]*1)
        # if dp_x[j][i] == 1:
        #     print(j+num, j-num)
for i in range(0, len(y)):
    num = y[i]
    for j in range(0, len(dp_y)):
        if j+num < max_y:
            dp_y[j+num][i+1] = max(dp_y[j+num][i+1], dp_y[j][i]*1)
        if j-num >= 0:
            dp_y[j-num][i+1] = max(dp_y[j-num][i+1], dp_y[j][i]*1)
        # if dp_y[j][i] == 1:
        #     print(j+num, j-num)


if (num_x+obj_x)<len(dp_x) and (num_x+obj_x)>=0:
    ans_x = dp_x[num_x+obj_x][-1]
else:
    print("No")
    exit()
if (num_y+obj_y)<len(dp_y) and (num_y+obj_y)>=0:
    ans_y = dp_y[num_y+obj_y][-1]
else:
    print("No")
    exit()

# print(dp_x)
if ans_x*ans_y == 1:
    print("Yes")
else:
    print("No")

Buggy python submission (verdict: Runtime Error):
#!/usr/bin/env python3
import sys
sys.setrecursionlimit(10**6)

s = str(input())
obj_x, obj_y = list(map(int, input().split()))


x = []
y = []
flag = 0
num = 0
for i in range(len(s)):
    if s[i] == "T":
        if flag % 2 == 0:
            x.append(num)
        else:
            y.append(num)
        flag += 1
        num = 0
    else:
        num += 1

if num > 0:
    if flag % 2 == 0:
        x.append(num)
    else:
        y.append(num)


if x == []:
    x = [0]
if y == []:
    y = [0]

# print(x)
# print(y)

num_x = sum(x)+1
num_y = sum(y)+1
max_x = num_x*2+1
max_y = num_y*2+1

dp_x = [[0]*((len(x)+1)) for i in range(num_x*2+1)]
dp_y = [[0]*((len(y)+1)) for i in range(num_y*2+1)]

dp_x[num_x][0] = 1
dp_y[num_y][0] = 1

for i in range(0, len(x)):
    num = x[i]
    for j in range(0, len(dp_x)):

        if j+num < max_x:
            dp_x[j+num][i+1] = max(dp_x[j+num][i+1], dp_x[j][i]*1)
        if j-num > 0:
            dp_x[j-num][i+1] = max(dp_x[j-num][i+1], dp_x[j][i]*1)
        # if dp_x[j][i] == 1:
            # print(j+num, j-num)
for i in range(0, len(y)):
    num = y[i]
    for j in range(0, len(dp_y)):

        if j+num < max_y:
            dp_y[j+num][i+1] = max(dp_y[j+num][i+1], dp_y[j][i]*1)
        if j-num > 0:
            dp_y[j-num][i+1] = max(dp_y[j-num][i+1], dp_y[j][i]*1)
        # if dp_y[j][i] == 1:
            # print(j+num, j-num)


ans_x = dp_x[num_x+obj_x][-1]
ans_y = dp_y[num_y+obj_y][-1]

if ans_x*ans_y == 1:
    print("Yes")
else:
    print("No")


Fixed submission:
#!/usr/bin/env python3
import sys
sys.setrecursionlimit(10**6)

s = str(input())
obj_x, obj_y = list(map(int, input().split()))


x = []
y = []
flag = 0
num = 0
for i in range(len(s)):
    if s[i] == "T":
        if flag % 2 == 0:
            x.append(num)
        else:
            y.append(num)
        flag += 1
        num = 0
    else:
        num += 1

if num > 0:
    if flag % 2 == 0:
        x.append(num)
    else:
        y.append(num)


if x == []:
    x = [0]
if y == []:
    y = [0]


num_x = sum(x)
num_y = sum(y)

max_x = num_x*2+1
max_y = num_y*2+1

dp_x = [[0]*((len(x)+1)) for i in range(max_x)]
dp_y = [[0]*((len(y)+1)) for i in range(max_y)]

dp_x[num_x][0] = 1
dp_y[num_y][0] = 1

# print(x)
dp_x[num_x+x[0]][1]=1

# print(dp_x)

for i in range(1, len(x)):
    num = x[i]
    for j in range(0, len(dp_x)):
        if j+num < max_x:
            dp_x[j+num][i+1] = max(dp_x[j+num][i+1], dp_x[j][i]*1)
        if j-num >= 0:
            dp_x[j-num][i+1] = max(dp_x[j-num][i+1], dp_x[j][i]*1)
        # if dp_x[j][i] == 1:
        #     print(j+num, j-num)
for i in range(0, len(y)):
    num = y[i]
    for j in range(0, len(dp_y)):
        if j+num < max_y:
            dp_y[j+num][i+1] = max(dp_y[j+num][i+1], dp_y[j][i]*1)
        if j-num >= 0:
            dp_y[j-num][i+1] = max(dp_y[j-num][i+1], dp_y[j][i]*1)
        # if dp_y[j][i] == 1:
        #     print(j+num, j-num)


if (num_x+obj_x)<len(dp_x) and (num_x+obj_x)>=0:
    ans_x = dp_x[num_x+obj_x][-1]
else:
    print("No")
    exit()
if (num_y+obj_y)<len(dp_y) and (num_y+obj_y)>=0:
    ans_y = dp_y[num_y+obj_y][-1]
else:
    print("No")
    exit()

# print(dp_x)
if ans_x*ans_y == 1:
    print("Yes")
else:
    print("No")

Buggy python submission (verdict: Time Limit Exceeded):
#!/usr/bin/env python3
import sys
sys.setrecursionlimit(10**6)

s = str(input())
obj_x, obj_y = list(map(int, input().split()))


x = []
y = []
flag = 0
num = 0
for i in range(len(s)):
    if s[i] == "T":
        if flag % 2 == 0:
            x.append(num)
        else:
            y.append(num)
        flag += 1
        num = 0
    else:
        num += 1

if num > 0:
    if flag % 2 == 0:
        x.append(num)
    else:
        y.append(num)


if x == []:
    x = [0]
if y == []:
    y = [0]

# print(x)
# print(y)
max_ = 8000*2+1
dp_x = [[0]*((len(x)+1)) for i in range(8000*2+1)]
dp_y = [[0]*((len(y)+1)) for i in range(8000*2+1)]

dp_x[8000][0] = 1
dp_y[8000][0] = 1

for i in range(0, len(x)):
    num = x[i]
    for j in range(0, len(dp_x)):

        if j+num < max_:
            dp_x[j+num][i+1] = max(dp_x[j+num][i+1], dp_x[j][i]*1)
        if j-num > 0:
            dp_x[j-num][i+1] = max(dp_x[j-num][i+1], dp_x[j][i]*1)
        # if dp_x[j][i] == 1:
            # print(j+num, j-num)
for i in range(0, len(y)):
    num = y[i]
    for j in range(0, len(dp_y)):

        if j+num < max_:
            dp_y[j+num][i+1] = max(dp_y[j+num][i+1], dp_y[j][i]*1)
        if j-num > 0:
            dp_y[j-num][i+1] = max(dp_y[j-num][i+1], dp_y[j][i]*1)
        # if dp_y[j][i] == 1:
            # print(j+num, j-num)


ans_x = dp_x[8000+obj_x][-1]
ans_y = dp_y[8000+obj_y][-1]

if ans_x*ans_y == 1:
    print("Yes")
else:
    print("No")


Fixed submission:
#!/usr/bin/env python3
import sys
sys.setrecursionlimit(10**6)

s = str(input())
obj_x, obj_y = list(map(int, input().split()))


x = []
y = []
flag = 0
num = 0
for i in range(len(s)):
    if s[i] == "T":
        if flag % 2 == 0:
            x.append(num)
        else:
            y.append(num)
        flag += 1
        num = 0
    else:
        num += 1

if num > 0:
    if flag % 2 == 0:
        x.append(num)
    else:
        y.append(num)


if x == []:
    x = [0]
if y == []:
    y = [0]


num_x = sum(x)
num_y = sum(y)

max_x = num_x*2+1
max_y = num_y*2+1

dp_x = [[0]*((len(x)+1)) for i in range(max_x)]
dp_y = [[0]*((len(y)+1)) for i in range(max_y)]

dp_x[num_x][0] = 1
dp_y[num_y][0] = 1

# print(x)
dp_x[num_x+x[0]][1]=1

# print(dp_x)

for i in range(1, len(x)):
    num = x[i]
    for j in range(0, len(dp_x)):
        if j+num < max_x:
            dp_x[j+num][i+1] = max(dp_x[j+num][i+1], dp_x[j][i]*1)
        if j-num >= 0:
            dp_x[j-num][i+1] = max(dp_x[j-num][i+1], dp_x[j][i]*1)
        # if dp_x[j][i] == 1:
        #     print(j+num, j-num)
for i in range(0, len(y)):
    num = y[i]
    for j in range(0, len(dp_y)):
        if j+num < max_y:
            dp_y[j+num][i+1] = max(dp_y[j+num][i+1], dp_y[j][i]*1)
        if j-num >= 0:
            dp_y[j-num][i+1] = max(dp_y[j-num][i+1], dp_y[j][i]*1)
        # if dp_y[j][i] == 1:
        #     print(j+num, j-num)


if (num_x+obj_x)<len(dp_x) and (num_x+obj_x)>=0:
    ans_x = dp_x[num_x+obj_x][-1]
else:
    print("No")
    exit()
if (num_y+obj_y)<len(dp_y) and (num_y+obj_y)>=0:
    ans_y = dp_y[num_y+obj_y][-1]
else:
    print("No")
    exit()

# print(dp_x)
if ans_x*ans_y == 1:
    print("Yes")
else:
    print("No")

Buggy python submission (verdict: Time Limit Exceeded):
#!/usr/bin/env python3
import sys
sys.setrecursionlimit(10**6)

s = str(input())
obj_x, obj_y = list(map(int, input().split()))


x = []
y = []
flag = 0
num = 0
for i in range(len(s)):
    if s[i] == "T":
        if flag % 2 == 0:
            x.append(num)
        else:
            y.append(num)
        flag += 1
        num = 0
    else:
        num += 1

if num > 0:
    if flag % 2 == 0:
        x.append(num)
    else:
        y.append(num)


if x == []:
    x = [0]
if y == []:
    y = [0]

# print(x)
# print(y)
max_ = 8000*2+1
dp_x = [[0]*((len(x)+1)) for i in range(8000*2+1)]
dp_y = [[0]*((len(y)+1)) for i in range(8000*2+1)]

dp_x[8000][0] = 1
dp_y[8000][0] = 1

for i in range(0, len(x)):
    num = x[i]
    for j in range(0, len(dp_x)):

        if j+num < max_:
            dp_x[j+num][i+1] = max(dp_x[j+num][i+1], dp_x[j][i]*1)
        if j-num > 0:
            dp_x[j-num][i+1] = max(dp_x[j-num][i+1], dp_x[j][i]*1)
        # if dp_x[j][i] == 1:
            # print(j+num, j-num)
for i in range(0, len(y)):
    num = y[i]
    for j in range(0, len(dp_y)):

        if j+num < max_:
            dp_y[j+num][i+1] = max(dp_y[j+num][i+1], dp_y[j][i]*1)
        if j-num > 0:
            dp_y[j-num][i+1] = max(dp_y[j-num][i+1], dp_y[j][i]*1)
        # if dp_y[j][i] == 1:
            # print(j+num, j-num)


ans_x = dp_x[8000+obj_x][-1]
ans_y = dp_y[8000+obj_y][-1]

if ans_x*ans_y == 1:
    print("Yes")
else:
    print("No")


Fixed submission:
#!/usr/bin/env python3
import sys
sys.setrecursionlimit(10**6)

s = str(input())
obj_x, obj_y = list(map(int, input().split()))


x = []
y = []
flag = 0
num = 0
for i in range(len(s)):
    if s[i] == "T":
        if flag % 2 == 0:
            x.append(num)
        else:
            y.append(num)
        flag += 1
        num = 0
    else:
        num += 1

if num > 0:
    if flag % 2 == 0:
        x.append(num)
    else:
        y.append(num)


if x == []:
    x = [0]
if y == []:
    y = [0]


num_x = sum(x)
num_y = sum(y)

max_x = num_x*2+1
max_y = num_y*2+1

dp_x = [[0]*((len(x)+1)) for i in range(max_x)]
dp_y = [[0]*((len(y)+1)) for i in range(max_y)]

dp_x[num_x][0] = 1
dp_y[num_y][0] = 1

# print(x)
dp_x[num_x+x[0]][1]=1

# print(dp_x)

for i in range(1, len(x)):
    num = x[i]
    for j in range(0, len(dp_x)):
        if j+num < max_x:
            dp_x[j+num][i+1] = max(dp_x[j+num][i+1], dp_x[j][i]*1)
        if j-num >= 0:
            dp_x[j-num][i+1] = max(dp_x[j-num][i+1], dp_x[j][i]*1)
        # if dp_x[j][i] == 1:
        #     print(j+num, j-num)
for i in range(0, len(y)):
    num = y[i]
    for j in range(0, len(dp_y)):
        if j+num < max_y:
            dp_y[j+num][i+1] = max(dp_y[j+num][i+1], dp_y[j][i]*1)
        if j-num >= 0:
            dp_y[j-num][i+1] = max(dp_y[j-num][i+1], dp_y[j][i]*1)
        # if dp_y[j][i] == 1:
        #     print(j+num, j-num)


if (num_x+obj_x)<len(dp_x) and (num_x+obj_x)>=0:
    ans_x = dp_x[num_x+obj_x][-1]
else:
    print("No")
    exit()
if (num_y+obj_y)<len(dp_y) and (num_y+obj_y)>=0:
    ans_y = dp_y[num_y+obj_y][-1]
else:
    print("No")
    exit()

# print(dp_x)
if ans_x*ans_y == 1:
    print("Yes")
else:
    print("No")