Buggy python submission (verdict: Runtime Error):
import itertools

N = int(input())
A = list(map(int, input().split()))

MOD = 10**9 + 7
MAX_NUM = 10**5

def inv_mod(n):
  return pow(n, MOD-2, MOD)

FACTS = [1 for _ in range(MAX_NUM+1)]
for n in range(1, MAX_NUM+1):
  FACTS[n] = (n*FACTS[n-1]) % MOD

INV_FACTS = [1 for _ in range(MAX_NUM+1)]
INV_FACTS[MAX_NUM] = inv_mod(FACTS[MAX_NUM])
for n in range(MAX_NUM-1, -1, -1):
  INV_FACTS[n] = (INV_FACTS[n+1]*(n+1)) % MOD
  
for i in range(MAX_NUM+1):
  assert (FACTS[i]*INV_FACTS[i])%MOD == 1

def ncr(n, r):
  if r > n:
    return 0
  if r < 0:
    return 0
  # C(n, r) = n!/(n-r)!r!
  ans = FACTS[n]*INV_FACTS[n-r]*INV_FACTS[r]
  return ans % MOD

from collections import defaultdict
v2i = defaultdict(list)
for i, v in enumerate(A):
  v2i[v].append(i)

fst, snd = -1, -1
for v in v2i:
  if len(v2i[v]) == 2:
    fst, snd = v2i[v]

K = snd - fst - 1
for ell in range(1, N+2):
  ans = ncr(N+1, ell) - ncr(N-1-K, ell-1)
  print(ans%MOD)


Fixed submission:
import itertools

N = int(input())
A = list(map(int, input().split()))

MOD = 10**9 + 7
MAX_NUM = 10**5 + 10

def inv_mod(n):
  return pow(n, MOD-2, MOD)

FACTS = [1 for _ in range(MAX_NUM+1)]
for n in range(1, MAX_NUM+1):
  FACTS[n] = (n*FACTS[n-1]) % MOD

INV_FACTS = [1 for _ in range(MAX_NUM+1)]
INV_FACTS[MAX_NUM] = inv_mod(FACTS[MAX_NUM])
for n in range(MAX_NUM-1, -1, -1):
  INV_FACTS[n] = (INV_FACTS[n+1]*(n+1)) % MOD
  
for i in range(MAX_NUM+1):
  assert (FACTS[i]*INV_FACTS[i])%MOD == 1

def ncr(n, r):
  if r > n:
    return 0
  if r < 0:
    return 0
  # C(n, r) = n!/(n-r)!r!
  ans = FACTS[n]*INV_FACTS[n-r]*INV_FACTS[r]
  return ans % MOD

from collections import defaultdict
v2i = defaultdict(list)
for i, v in enumerate(A):
  v2i[v].append(i)

fst, snd = -1, -1
for v in v2i:
  if len(v2i[v]) == 2:
    fst, snd = v2i[v]

K = snd - fst - 1
for ell in range(1, N+2):
  ans = ncr(N+1, ell) - ncr(N-1-K, ell-1)
  print(ans%MOD)

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

n = int(input())
a = list(map(int, input().split()))

for i in range(1, n+2):
  if i == n+1:
    print(1)
  else:
    combos = list(itertools.combinations(a, i))
    print(len(set(combos)))


Fixed submission:
import itertools

N = int(input())
A = list(map(int, input().split()))

MOD = 10**9 + 7
MAX_NUM = 10**5 + 10

def inv_mod(n):
  return pow(n, MOD-2, MOD)

FACTS = [1 for _ in range(MAX_NUM+1)]
for n in range(1, MAX_NUM+1):
  FACTS[n] = (n*FACTS[n-1]) % MOD

INV_FACTS = [1 for _ in range(MAX_NUM+1)]
INV_FACTS[MAX_NUM] = inv_mod(FACTS[MAX_NUM])
for n in range(MAX_NUM-1, -1, -1):
  INV_FACTS[n] = (INV_FACTS[n+1]*(n+1)) % MOD
  
for i in range(MAX_NUM+1):
  assert (FACTS[i]*INV_FACTS[i])%MOD == 1

def ncr(n, r):
  if r > n:
    return 0
  if r < 0:
    return 0
  # C(n, r) = n!/(n-r)!r!
  ans = FACTS[n]*INV_FACTS[n-r]*INV_FACTS[r]
  return ans % MOD

from collections import defaultdict
v2i = defaultdict(list)
for i, v in enumerate(A):
  v2i[v].append(i)

fst, snd = -1, -1
for v in v2i:
  if len(v2i[v]) == 2:
    fst, snd = v2i[v]

K = snd - fst - 1
for ell in range(1, N+2):
  ans = ncr(N+1, ell) - ncr(N-1-K, ell-1)
  print(ans%MOD)

Buggy python submission (verdict: Runtime Error):
import iterools

n = int(input())
a = map(int, input().split())

for i in range(n+1):
  if i == len(n):
    print(1)
  else:
    combos = list(itertools.combinations(a, i))
    print(len(set(combos)))


Fixed submission:
import itertools

N = int(input())
A = list(map(int, input().split()))

MOD = 10**9 + 7
MAX_NUM = 10**5 + 10

def inv_mod(n):
  return pow(n, MOD-2, MOD)

FACTS = [1 for _ in range(MAX_NUM+1)]
for n in range(1, MAX_NUM+1):
  FACTS[n] = (n*FACTS[n-1]) % MOD

INV_FACTS = [1 for _ in range(MAX_NUM+1)]
INV_FACTS[MAX_NUM] = inv_mod(FACTS[MAX_NUM])
for n in range(MAX_NUM-1, -1, -1):
  INV_FACTS[n] = (INV_FACTS[n+1]*(n+1)) % MOD
  
for i in range(MAX_NUM+1):
  assert (FACTS[i]*INV_FACTS[i])%MOD == 1

def ncr(n, r):
  if r > n:
    return 0
  if r < 0:
    return 0
  # C(n, r) = n!/(n-r)!r!
  ans = FACTS[n]*INV_FACTS[n-r]*INV_FACTS[r]
  return ans % MOD

from collections import defaultdict
v2i = defaultdict(list)
for i, v in enumerate(A):
  v2i[v].append(i)

fst, snd = -1, -1
for v in v2i:
  if len(v2i[v]) == 2:
    fst, snd = v2i[v]

K = snd - fst - 1
for ell in range(1, N+2):
  ans = ncr(N+1, ell) - ncr(N-1-K, ell-1)
  print(ans%MOD)

Buggy python submission (verdict: Runtime Error):
import iterools

n = int(input())
a = map(int, input().split())

for i in range(n):
  if i == len(n)-1:
    print(1)
  else:
    combos = itertools.combinations(a, i)
    print(len(set(combos)))

Fixed submission:
import itertools

N = int(input())
A = list(map(int, input().split()))

MOD = 10**9 + 7
MAX_NUM = 10**5 + 10

def inv_mod(n):
  return pow(n, MOD-2, MOD)

FACTS = [1 for _ in range(MAX_NUM+1)]
for n in range(1, MAX_NUM+1):
  FACTS[n] = (n*FACTS[n-1]) % MOD

INV_FACTS = [1 for _ in range(MAX_NUM+1)]
INV_FACTS[MAX_NUM] = inv_mod(FACTS[MAX_NUM])
for n in range(MAX_NUM-1, -1, -1):
  INV_FACTS[n] = (INV_FACTS[n+1]*(n+1)) % MOD
  
for i in range(MAX_NUM+1):
  assert (FACTS[i]*INV_FACTS[i])%MOD == 1

def ncr(n, r):
  if r > n:
    return 0
  if r < 0:
    return 0
  # C(n, r) = n!/(n-r)!r!
  ans = FACTS[n]*INV_FACTS[n-r]*INV_FACTS[r]
  return ans % MOD

from collections import defaultdict
v2i = defaultdict(list)
for i, v in enumerate(A):
  v2i[v].append(i)

fst, snd = -1, -1
for v in v2i:
  if len(v2i[v]) == 2:
    fst, snd = v2i[v]

K = snd - fst - 1
for ell in range(1, N+2):
  ans = ncr(N+1, ell) - ncr(N-1-K, ell-1)
  print(ans%MOD)