Buggy python submission (verdict: Runtime Error):
S = input()
N = len(S)
c = [1 for _ in range(N)]

dic = {}
freq = 0
start = 0
for i in range(int(N ** 0.5) + 1):
  tmp = [0 for _ in range(N)]
  for j in range(N):
    if j > 0 and S[j - 1] == "R":
      tmp[j] += c[j - 1]
    if j < N - 1 and S[j + 1] == "L":
      tmp[j] += c[j + 1]
  c = tmp
  if str(c) in dic.keys():
    freq = i - dic[str(c)]
    start = dic[str(c)]
    break
  else:
    dic[str(c)] = i

n = start + ((10 ** 100 - start - 1) % freq)
key = [k for k, v in dic.items() if v == n][0]
key = key.replace("[", "").replace("]", "")
k = list(key.split(", "))
for i in range(N):
  print(k[i], end = "")
  if i == N - 1:
    print()
  else:
    print(" ", end = "")

Fixed submission:
S = input()
N = len(S)

ans = []
RL = []
s = "R"
flag = False
for i in range(1, N):
  if S[i] == "L" or S[i] == "R" and S[i - 1] == "R":
    s += S[i]
  else:
    RL.append(s)
    s = "R"
RL.append(s)

for rl in RL:
  for i in range(len(rl)):
    if rl[i] == "R" and rl[i + 1] == "L" or rl[i] == "L" and rl[i - 1] == "R":
      if i % 2 == 1:
        ans.append(len(rl) // 2)
      else:
        ans.append((len(rl) + 1) // 2)
    else:
      ans.append(0)

for i in range(N):
  print(ans[i], end = "")
  if i == N - 1:
    print()
  else:
    print(" ", end = "")

Buggy python submission (verdict: Runtime Error):
S = input()
N = len(S)
c = [1 for _ in range(N)]

dic = {}
freq = 0
start = 0
for i in range(int(N ** 0.5)):
  tmp = [0 for _ in range(N)]
  for j in range(N):
    if j > 0 and S[j - 1] == "R":
      tmp[j] += c[j - 1]
    if j < N - 1 and S[j + 1] == "L":
      tmp[j] += c[j + 1]
  c = tmp
  if str(c) in dic.keys():
    freq = i - dic[str(c)]
    start = dic[str(c)]
    break
  else:
    dic[str(c)] = i

n = start + ((10 ** 100 - start - 1) % freq)
key = [k for k, v in dic.items() if v == n][0]
key = key.replace("[", "").replace("]", "")
k = list(key.split(", "))
for i in range(N):
  print(k[i], end = "")
  if i == N - 1:
    print()
  else:
    print(" ", end = "")

Fixed submission:
S = input()
N = len(S)

ans = []
RL = []
s = "R"
flag = False
for i in range(1, N):
  if S[i] == "L" or S[i] == "R" and S[i - 1] == "R":
    s += S[i]
  else:
    RL.append(s)
    s = "R"
RL.append(s)

for rl in RL:
  for i in range(len(rl)):
    if rl[i] == "R" and rl[i + 1] == "L" or rl[i] == "L" and rl[i - 1] == "R":
      if i % 2 == 1:
        ans.append(len(rl) // 2)
      else:
        ans.append((len(rl) + 1) // 2)
    else:
      ans.append(0)

for i in range(N):
  print(ans[i], end = "")
  if i == N - 1:
    print()
  else:
    print(" ", end = "")

Buggy python submission (verdict: Runtime Error):
S = input()
N = len(S)
c = [1 for _ in range(N)]

dic = {}
freq = 0
start = 0
for i in range(int(N ** 0.5):
  tmp = [0 for _ in range(N)]
  for j in range(N):
    if j > 0 and S[j - 1] == "R":
      tmp[j] += c[j - 1]
    if j < N - 1 and S[j + 1] == "L":
      tmp[j] += c[j + 1]
  c = tmp
  if str(c) in dic.keys():
    freq = i - dic[str(c)]
    start = dic[str(c)]
    break
  else:
    dic[str(c)] = i

n = start + ((10 ** 100 - start - 1) % freq)
key = [k for k, v in dic.items() if v == n][0]
key = key.replace("[", "").replace("]", "")
k = list(key.split(", "))
for i in range(N):
  print(k[i], end = "")
  if i == N - 1:
    print()
  else:
    print(" ", end = "")

Fixed submission:
S = input()
N = len(S)

ans = []
RL = []
s = "R"
flag = False
for i in range(1, N):
  if S[i] == "L" or S[i] == "R" and S[i - 1] == "R":
    s += S[i]
  else:
    RL.append(s)
    s = "R"
RL.append(s)

for rl in RL:
  for i in range(len(rl)):
    if rl[i] == "R" and rl[i + 1] == "L" or rl[i] == "L" and rl[i - 1] == "R":
      if i % 2 == 1:
        ans.append(len(rl) // 2)
      else:
        ans.append((len(rl) + 1) // 2)
    else:
      ans.append(0)

for i in range(N):
  print(ans[i], end = "")
  if i == N - 1:
    print()
  else:
    print(" ", end = "")

Buggy python submission (verdict: Time Limit Exceeded):
S = input()
N = len(S)
c = [1 for _ in range(N)]

dic = {}
freq = 0
start = 0
for i in range(N):
  tmp = [0 for _ in range(N)]
  for j in range(N):
    if j > 0 and S[j - 1] == "R":
      tmp[j] += c[j - 1]
    if j < N - 1 and S[j + 1] == "L":
      tmp[j] += c[j + 1]
  c = tmp
  if str(c) in dic.keys():
    freq = i - dic[str(c)]
    start = dic[str(c)]
    break
  else:
    dic[str(c)] = i

n = start + ((10 ** 100 - start - 1) % freq)
key = [k for k, v in dic.items() if v == n][0]
key = key.replace("[", "").replace("]", "")
k = list(key.split(", "))
for i in range(N):
  print(k[i], end = "")
  if i == N - 1:
    print()
  else:
    print(" ", end = "")

Fixed submission:
S = input()
N = len(S)

ans = []
RL = []
s = "R"
flag = False
for i in range(1, N):
  if S[i] == "L" or S[i] == "R" and S[i - 1] == "R":
    s += S[i]
  else:
    RL.append(s)
    s = "R"
RL.append(s)

for rl in RL:
  for i in range(len(rl)):
    if rl[i] == "R" and rl[i + 1] == "L" or rl[i] == "L" and rl[i - 1] == "R":
      if i % 2 == 1:
        ans.append(len(rl) // 2)
      else:
        ans.append((len(rl) + 1) // 2)
    else:
      ans.append(0)

for i in range(N):
  print(ans[i], end = "")
  if i == N - 1:
    print()
  else:
    print(" ", end = "")

Buggy python submission (verdict: Time Limit Exceeded):
S = input()
N = len(S)
c = [1 for _ in range(N)]

dic = {}
freq = 0
start = 0
for i in range(N):
  tmp = [0 for _ in range(N)]
  for j in range(N):
    if j > 0 and S[j - 1] == "R":
      tmp[j] += c[j - 1]
    if j < N - 1 and S[j + 1] == "L":
      tmp[j] += c[j + 1]
  c = tmp
  if str(c) in dic.keys():
    freq = i - dic[str(c)]
    start = dic[str(c)]
    break
  else:
    dic[str(c)] = i

n = start + ((10 ** 100 - start - 1) % freq)
key = [k for k, v in dic.items() if v == n][0]
key = key.replace("[", "").replace("]", "")
k = list(key.split(", "))
for i in range(N):
  print(k[i], end = "")
  if i == N - 1:
    print()
  else:
    print(" ", end = "")

Fixed submission:
S = input()
N = len(S)

ans = []
RL = []
s = "R"
flag = False
for i in range(1, N):
  if S[i] == "L" or S[i] == "R" and S[i - 1] == "R":
    s += S[i]
  else:
    RL.append(s)
    s = "R"
RL.append(s)

for rl in RL:
  for i in range(len(rl)):
    if rl[i] == "R" and rl[i + 1] == "L" or rl[i] == "L" and rl[i - 1] == "R":
      if i % 2 == 1:
        ans.append(len(rl) // 2)
      else:
        ans.append((len(rl) + 1) // 2)
    else:
      ans.append(0)

for i in range(N):
  print(ans[i], end = "")
  if i == N - 1:
    print()
  else:
    print(" ", end = "")