Buggy python submission (verdict: Runtime Error):
"""Knapsack"""
import sys

sys.setrecursionlimit(10 ** 9)
input = sys.stdin.readline
s = input().rstrip()
gx, gy = map(int, input().split())
rx, ry = 0, 0
head, inst = 0, []
while head < len(s) and s[head] == "F":
    head += 1
    rx += 1

xlist, ylist = [], []
heading_x = True
while head < len(s):
    tcnt = 0
    while head < len(s) and s[head] == "T":
        tcnt += 1
        head += 1
    if head == len(s):
        break
    fcnt = 0
    while head < len(s) and s[head] == "F":
        fcnt += 1
        head += 1
    if ((tcnt % 2) == 1) ^ heading_x:
        heading_x = True
        xlist.append(fcnt)
    else:
        heading_x = False
        ylist.append(fcnt)


def fill(fs, goal_offset):
    f_total = sum(fs)
    if f_total < goal_offset:
        return False
    if f_total == goal_offset:
        return True
    f_diff = f_total - goal_offset
    diffs = {0}
    for f in fs:
        for d in list(diffs):
            d2 = f + d
            if d2 > f_diff:
                continue
            if d2 == f_diff:
                return True
            diffs.append(d2)
    return False


if fill(xlist, abs(gx - rx)) and fill(ylist, abs(gy - ry)):
    print("Yes")
else:
    print("No")


Fixed submission:
"""Knapsack"""
import sys

sys.setrecursionlimit(10 ** 9)
input = sys.stdin.readline
s = input().rstrip()
gx, gy = map(int, input().split())
rx, ry = 0, 0
head, inst = 0, []
while head < len(s) and s[head] == "F":
    head += 1
    rx += 1

xlist, ylist = [], []
heading_x = True
while head < len(s):
    tcnt = 0
    while head < len(s) and s[head] == "T":
        tcnt += 1
        head += 1
    if head == len(s):
        break
    fcnt = 0
    while head < len(s) and s[head] == "F":
        fcnt += 1
        head += 1
    if ((tcnt % 2) == 1) ^ heading_x:
        heading_x = True
        xlist.append(fcnt)
    else:
        heading_x = False
        ylist.append(fcnt)


def fill(fs, goal_offset):
    f_total = sum(fs)
    if f_total < goal_offset:
        return False
    if f_total == goal_offset:
        return True
    f_diff = f_total - goal_offset
    if f_diff % 2 == 1:
        return False
    f_diff //= 2
    diffs = {0}
    for f in fs:
        for d in list(diffs):
            d2 = f + d
            if d2 > f_diff:
                continue
            if d2 == f_diff:
                return True
            diffs.add(d2)
    return False


if fill(xlist, abs(gx - rx)) and fill(ylist, abs(gy - ry)):
    print("Yes")
else:
    print("No")

Buggy python submission (verdict: Time Limit Exceeded):
import sys

sys.setrecursionlimit(10 ** 9)
input = sys.stdin.readline
s = input().rstrip()
gx, gy = map(int, input().split())
rx, ry = 0, 0
head, inst = 0, []
while head < len(s) and s[head] == "F":
    head += 1
    rx += 1
while head < len(s):
    tcnt = 0
    while head < len(s) and s[head] == "T":
        tcnt += 1
        head += 1
    fcnt = 0
    while head < len(s) and s[head] == "F":
        fcnt += 1
        head += 1
    inst.append((tcnt % 2, fcnt))

f_total = sum([f for (_, f) in inst])
f_rem = [0] * (len(inst) + 1)
f_rem[len(inst)] = 0
for i in range(len(inst) - 1, -1, -1):
    f_rem[i] = f_rem[i + 1] + inst[i][1]
assert f_rem[0] == f_total


visited = set()


def reach(i, x, y, dx, dy):
    dist = abs(gx - x) + abs(gy - y)
    # print(f"i={i} ({x},{y}) dist={dist}: inst={inst[i:]}")
    if i == len(inst):
        return dist == 0
    if (i, x, y, dx, dy) in visited:
        return False
    visited.add((i, x, y, dx, dy))
    if dist > f_rem[i] or dist % 2 != f_rem[i] % 2:
        return False
    t, f = inst[i]
    if t:
        dy, dx = dx, -dy
    if reach(i + 1, x + f * dx, y + f * dy, dx, dy):
        return True
    if reach(i + 1, x - f * dx, y - f * dy, -dx, -dy):
        return True
    return False


print("Yes" if reach(0, rx, ry, 1, 0) else "No")


Fixed submission:
"""Knapsack"""
import sys

sys.setrecursionlimit(10 ** 9)
input = sys.stdin.readline
s = input().rstrip()
gx, gy = map(int, input().split())
rx, ry = 0, 0
head, inst = 0, []
while head < len(s) and s[head] == "F":
    head += 1
    rx += 1

xlist, ylist = [], []
heading_x = True
while head < len(s):
    tcnt = 0
    while head < len(s) and s[head] == "T":
        tcnt += 1
        head += 1
    if head == len(s):
        break
    fcnt = 0
    while head < len(s) and s[head] == "F":
        fcnt += 1
        head += 1
    if ((tcnt % 2) == 1) ^ heading_x:
        heading_x = True
        xlist.append(fcnt)
    else:
        heading_x = False
        ylist.append(fcnt)


def fill(fs, goal_offset):
    f_total = sum(fs)
    if f_total < goal_offset:
        return False
    if f_total == goal_offset:
        return True
    f_diff = f_total - goal_offset
    if f_diff % 2 == 1:
        return False
    f_diff //= 2
    diffs = {0}
    for f in fs:
        for d in list(diffs):
            d2 = f + d
            if d2 > f_diff:
                continue
            if d2 == f_diff:
                return True
            diffs.add(d2)
    return False


if fill(xlist, abs(gx - rx)) and fill(ylist, abs(gy - ry)):
    print("Yes")
else:
    print("No")

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
import sys

sys.setrecursionlimit(10 ** 9)
input = sys.stdin.readline
s = input().rstrip()
gx, gy = map(int, input().split())
rx, ry = 0, 0
head, inst = 0, []
while head < len(s) and s[head] == "F":
    head += 1
    rx += 1
while head < len(s):
    tcnt = 0
    while head < len(s) and s[head] == "T":
        tcnt += 1
        head += 1
    fcnt = 0
    while head < len(s) and s[head] == "F":
        fcnt += 1
        head += 1
    inst.append((tcnt % 2, fcnt))

f_total = sum([f for (_, f) in inst])
f_rem = [0] * (len(inst) + 1)
f_rem[len(inst)] = 0
for i in range(len(inst) - 1, -1, -1):
    f_rem[i] = f_rem[i + 1] + inst[i][1]
assert f_rem[0] == f_total


visited = set()


def reach():
    hp = [(0, rx, ry, 1, 0)]
    while hp:
        i, x, y, dx, dy = heapq.heappop(hp)

        dist = abs(gx - x) + abs(gy - y)
        # print(f"i={i} ({x},{y}) dist={dist}: inst={inst[i:]}")
        if i == len(inst):
            if dist == 0:
                return True
            continue
        if (i, x, y, dx, dy) in visited:
            continue
        visited.add((i, x, y, dx, dy))
        if dist > f_rem[i]:
            continue
        t, f = inst[i]
        if t:
            dy, dx = dx, -dy
        heapq.heappush(hp, (i + 1, x + f * dx, y + f * dy, dx, dy))
        heapq.heappush(hp, (i + 1, x - f * dx, y - f * dy, -dx, -dy))
    return False


print("Yes" if reach() else "No")


Fixed submission:
"""Knapsack"""
import sys

sys.setrecursionlimit(10 ** 9)
input = sys.stdin.readline
s = input().rstrip()
gx, gy = map(int, input().split())
rx, ry = 0, 0
head, inst = 0, []
while head < len(s) and s[head] == "F":
    head += 1
    rx += 1

xlist, ylist = [], []
heading_x = True
while head < len(s):
    tcnt = 0
    while head < len(s) and s[head] == "T":
        tcnt += 1
        head += 1
    if head == len(s):
        break
    fcnt = 0
    while head < len(s) and s[head] == "F":
        fcnt += 1
        head += 1
    if ((tcnt % 2) == 1) ^ heading_x:
        heading_x = True
        xlist.append(fcnt)
    else:
        heading_x = False
        ylist.append(fcnt)


def fill(fs, goal_offset):
    f_total = sum(fs)
    if f_total < goal_offset:
        return False
    if f_total == goal_offset:
        return True
    f_diff = f_total - goal_offset
    if f_diff % 2 == 1:
        return False
    f_diff //= 2
    diffs = {0}
    for f in fs:
        for d in list(diffs):
            d2 = f + d
            if d2 > f_diff:
                continue
            if d2 == f_diff:
                return True
            diffs.add(d2)
    return False


if fill(xlist, abs(gx - rx)) and fill(ylist, abs(gy - ry)):
    print("Yes")
else:
    print("No")

Buggy python submission (verdict: Time Limit Exceeded):
import sys

sys.setrecursionlimit(10 ** 9)
input = sys.stdin.readline
s = input().rstrip()
gx, gy = map(int, input().split())
rx, ry = 0, 0
head, inst = 0, []
while head < len(s) and s[head] == "F":
    head += 1
    rx += 1
while head < len(s):
    tcnt = 0
    while head < len(s) and s[head] == "T":
        tcnt += 1
        head += 1
    fcnt = 0
    while head < len(s) and s[head] == "F":
        fcnt += 1
        head += 1
    inst.append((tcnt % 2, fcnt))

f_total = sum([f for (_, f) in inst])
f_rem = [0] * (len(inst) + 1)
f_rem[len(inst)] = 0
for i in range(len(inst) - 1, -1, -1):
    f_rem[i] = f_rem[i + 1] + inst[i][1]
assert f_rem[0] == f_total


visited = set()


def reach(i, x, y, dx, dy):
    dist = abs(gx - x) + abs(gy - y)
    # print(f"i={i} ({x},{y}) dist={dist}: inst={inst[i:]}")
    if i == len(inst):
        return dist == 0
    if (i, x, y, dx, dy) in visited:
        return False
    visited.add((i, x, y, dx, dy))
    if dist > f_rem[i]:
        return False
    t, f = inst[i]
    if t:
        dy, dx = dx, -dy
    if reach(i + 1, x + f * dx, y + f * dy, dx, dy):
        return True
    if reach(i + 1, x - f * dx, y - f * dy, -dx, -dy):
        return True
    return False


print("Yes" if reach(0, rx, ry, 1, 0) else "No")


Fixed submission:
"""Knapsack"""
import sys

sys.setrecursionlimit(10 ** 9)
input = sys.stdin.readline
s = input().rstrip()
gx, gy = map(int, input().split())
rx, ry = 0, 0
head, inst = 0, []
while head < len(s) and s[head] == "F":
    head += 1
    rx += 1

xlist, ylist = [], []
heading_x = True
while head < len(s):
    tcnt = 0
    while head < len(s) and s[head] == "T":
        tcnt += 1
        head += 1
    if head == len(s):
        break
    fcnt = 0
    while head < len(s) and s[head] == "F":
        fcnt += 1
        head += 1
    if ((tcnt % 2) == 1) ^ heading_x:
        heading_x = True
        xlist.append(fcnt)
    else:
        heading_x = False
        ylist.append(fcnt)


def fill(fs, goal_offset):
    f_total = sum(fs)
    if f_total < goal_offset:
        return False
    if f_total == goal_offset:
        return True
    f_diff = f_total - goal_offset
    if f_diff % 2 == 1:
        return False
    f_diff //= 2
    diffs = {0}
    for f in fs:
        for d in list(diffs):
            d2 = f + d
            if d2 > f_diff:
                continue
            if d2 == f_diff:
                return True
            diffs.add(d2)
    return False


if fill(xlist, abs(gx - rx)) and fill(ylist, abs(gy - ry)):
    print("Yes")
else:
    print("No")