Buggy python submission (verdict: Time Limit Exceeded):
s = input()
n = len(s)
xy = tuple(map(int, input().split()))

# 各ターンで、後何回動けるか
move = [0]
for i in range(n):
    if s[-i-1]=='F':
        move.append(move[-1]+1)
    else:
        move.append(move[-1])
move.reverse()

# 各ターンで行きうる位置
dp = [set() for j in range(n+1)]
dp[0].add((0,0,0))

if move[0]%2!=(sum(xy))%2:
    print('No')
    exit()

for i in range(n):
    for x, y, z in dp[i]:
        if abs(xy[0] - x) + abs(xy[1] - y) > move[i]:
            continue
        if s[i]=='F':
                if z==0:
                    dp[i+1].add((x+1,y,z))
                elif z==1:
                    dp[i+1].add((x,y+1,z))
                elif z==2:
                    dp[i+1].add((x-1,y,z))
                else:
                    dp[i+1].add((x,y-1,z))
        else:
                if z==0:
                    dp[i+1].add((x,y,1))
                    dp[i+1].add((x,y,3))
                elif z==3:
                    dp[i+1].add((x,y,0))
                    dp[i+1].add((x,y,2))
                else:
                    dp[i+1].add((x,y,z-1))
                    dp[i+1].add((x,y,z+1))

for x,y,z in dp[n]:
    if xy == (x,y):
        print('Yes')
        exit()

print('No')

Fixed submission:
s = input()
n = len(s)
xy = list(map(int, input().split()))

right = 0
updown = []
rightleft = []

direction = 0
for i in range(n):
    if s[i]=='F':
        if direction == 0:
            right+=1
        elif direction == 1:
            updown[-1]+=1
        else:
            rightleft[-1]+=1
    else:
        if direction == 0 or direction == 2:
            direction = 1
            updown.append(0)
        else:
            direction = 2
            rightleft.append(0)

updown = [x for x in updown if x!=0]
rightleft = [x for x in rightleft if x!=0]

# 最初はx方向にしか進めないので補正
xy[0]-=right

# updownでyに行けるか？rightleftでxに行けるかを考えれば良い
dpy = [set() for i in range(len(updown)+1)]
dpy[0].add(0)
for i in range(len(updown)):
    for y in dpy[i]:
        dpy[i+1].add(y+updown[i])
        dpy[i+1].add(y-updown[i])

dpx = [set() for i in range(len(rightleft)+1)]
dpx[0].add(0)
for i in range(len(rightleft)):
    for x in dpx[i]:
        dpx[i+1].add(x+rightleft[i])
        dpx[i+1].add(x-rightleft[i])

if xy[1] in dpy[-1] and xy[0] in dpx[-1]:
    print('Yes')
else:
    print('No')

Buggy python submission (verdict: Time Limit Exceeded):
s = input()
n = len(s)
xy = tuple(map(int, input().split()))

dp = [set() for j in range(n+1)]

dp[0].add((0,0,0))

for i in range(n):
    if s[i]=='F':
        for x,y,z in dp[i]:
            if abs(xy[0]-x)+abs(xy[1]-y)>n-i:
                continue
            if z==0:
                dp[i+1].add((x+1,y,z))
            elif z==1:
                dp[i+1].add((x,y+1,z))
            elif z==2:
                dp[i+1].add((x-1,y,z))
            else:
                dp[i+1].add((x,y-1,z))
    else:
        for x,y,z in dp[i]:
            if abs(xy[0]-x)+abs(xy[1]-y)>n-i:
                continue
            if z==0:
                dp[i+1].add((x,y,1))
                dp[i+1].add((x,y,3))
            elif z==3:
                dp[i+1].add((x,y,0))
                dp[i+1].add((x,y,2))
            else:
                dp[i+1].add((x,y,z-1))
                dp[i+1].add((x,y,z+1))

for x,y,z in dp[n]:
    if xy == (x,y):
        print('Yes')
        exit()

print('No')

Fixed submission:
s = input()
n = len(s)
xy = list(map(int, input().split()))

right = 0
updown = []
rightleft = []

direction = 0
for i in range(n):
    if s[i]=='F':
        if direction == 0:
            right+=1
        elif direction == 1:
            updown[-1]+=1
        else:
            rightleft[-1]+=1
    else:
        if direction == 0 or direction == 2:
            direction = 1
            updown.append(0)
        else:
            direction = 2
            rightleft.append(0)

updown = [x for x in updown if x!=0]
rightleft = [x for x in rightleft if x!=0]

# 最初はx方向にしか進めないので補正
xy[0]-=right

# updownでyに行けるか？rightleftでxに行けるかを考えれば良い
dpy = [set() for i in range(len(updown)+1)]
dpy[0].add(0)
for i in range(len(updown)):
    for y in dpy[i]:
        dpy[i+1].add(y+updown[i])
        dpy[i+1].add(y-updown[i])

dpx = [set() for i in range(len(rightleft)+1)]
dpx[0].add(0)
for i in range(len(rightleft)):
    for x in dpx[i]:
        dpx[i+1].add(x+rightleft[i])
        dpx[i+1].add(x-rightleft[i])

if xy[1] in dpy[-1] and xy[0] in dpx[-1]:
    print('Yes')
else:
    print('No')

Buggy python submission (verdict: Time Limit Exceeded):
s = input()
n = len(s)
xy = tuple(map(int, input().split()))

dp = [set() for j in range(n+1)]

dp[0].add((0,0,0))

for i in range(n):
    if s[i]=='F':
        for x,y,z in dp[i]:
            if z==0:
                dp[i+1].add((x+1,y,z))
            elif z==1:
                dp[i+1].add((x,y+1,z))
            elif z==2:
                dp[i+1].add((x-1,y,z))
            else:
                dp[i+1].add((x,y-1,z))
    else:
        for x,y,z in dp[i]:
            if z==0:
                dp[i+1].add((x,y,1))
                dp[i+1].add((x,y,3))
            elif z==3:
                dp[i+1].add((x,y,0))
                dp[i+1].add((x,y,2))
            else:
                dp[i+1].add((x,y,z-1))
                dp[i+1].add((x,y,z+1))

for x,y,z in dp[n]:
    if xy == (x,y):
        print('Yes')
        exit()

print('No')

Fixed submission:
s = input()
n = len(s)
xy = list(map(int, input().split()))

right = 0
updown = []
rightleft = []

direction = 0
for i in range(n):
    if s[i]=='F':
        if direction == 0:
            right+=1
        elif direction == 1:
            updown[-1]+=1
        else:
            rightleft[-1]+=1
    else:
        if direction == 0 or direction == 2:
            direction = 1
            updown.append(0)
        else:
            direction = 2
            rightleft.append(0)

updown = [x for x in updown if x!=0]
rightleft = [x for x in rightleft if x!=0]

# 最初はx方向にしか進めないので補正
xy[0]-=right

# updownでyに行けるか？rightleftでxに行けるかを考えれば良い
dpy = [set() for i in range(len(updown)+1)]
dpy[0].add(0)
for i in range(len(updown)):
    for y in dpy[i]:
        dpy[i+1].add(y+updown[i])
        dpy[i+1].add(y-updown[i])

dpx = [set() for i in range(len(rightleft)+1)]
dpx[0].add(0)
for i in range(len(rightleft)):
    for x in dpx[i]:
        dpx[i+1].add(x+rightleft[i])
        dpx[i+1].add(x-rightleft[i])

if xy[1] in dpy[-1] and xy[0] in dpx[-1]:
    print('Yes')
else:
    print('No')

Buggy python submission (verdict: Time Limit Exceeded):
s = input()
n = len(s)
xy = tuple(map(int, input().split()))

dp = [[set() for i in range(4)] for j in range(n+1)]

dp[0][0].add((0,0))

for i in range(n):
    if s[i]=='F':
        for j in range(4):
            for x,y in dp[i][j]:
                if j ==0:
                    dp[i+1][j].add((x+1,y))
                elif j == 1:
                    dp[i+1][j].add((x,y+1))
                elif j == 2:
                    dp[i+1][j].add((x-1,y))
                else:
                    dp[i+1][j].add((x,y-1))
    else:
        for j in range(4):
            for x,y in dp[i][j]:
                if j!=3:
                    dp[i+1][j+1].add((x,y))
                    dp[i+1][j-1].add((x,y))
                else:
                    dp[i+1][0].add((x,y))
                    dp[i+1][j-1].add((x,y))



for i in range(4):
    if xy in dp[-1][i]:
        print('Yes')
        exit()
print('No')


Fixed submission:
s = input()
n = len(s)
xy = list(map(int, input().split()))

right = 0
updown = []
rightleft = []

direction = 0
for i in range(n):
    if s[i]=='F':
        if direction == 0:
            right+=1
        elif direction == 1:
            updown[-1]+=1
        else:
            rightleft[-1]+=1
    else:
        if direction == 0 or direction == 2:
            direction = 1
            updown.append(0)
        else:
            direction = 2
            rightleft.append(0)

updown = [x for x in updown if x!=0]
rightleft = [x for x in rightleft if x!=0]

# 最初はx方向にしか進めないので補正
xy[0]-=right

# updownでyに行けるか？rightleftでxに行けるかを考えれば良い
dpy = [set() for i in range(len(updown)+1)]
dpy[0].add(0)
for i in range(len(updown)):
    for y in dpy[i]:
        dpy[i+1].add(y+updown[i])
        dpy[i+1].add(y-updown[i])

dpx = [set() for i in range(len(rightleft)+1)]
dpx[0].add(0)
for i in range(len(rightleft)):
    for x in dpx[i]:
        dpx[i+1].add(x+rightleft[i])
        dpx[i+1].add(x-rightleft[i])

if xy[1] in dpy[-1] and xy[0] in dpx[-1]:
    print('Yes')
else:
    print('No')