Buggy python submission (verdict: Runtime Error):
# パスカルの三角形
N, K = map(int, input().split())

n = max(K - 1, N - K + 1)
c = [[0] * (n + 1) for _ in range(n + 1)]
c[0][0] = 1
for i in range(1, n + 1):
    ci = c[i]
    ci1 = c[i - 1]
    ci[0] = 1
    for j in range(1, i + 1):
        ci[j] = (ci1[j - 1] + ci1[j]) % 1000000007

result = []
for i in range(1, K + 1):
    result.append(c[K - 1][i - 1] * c[N - K + 1][i] % 1000000007)
print('\n'.join(str(i) for i in result))


Fixed submission:
def main():
    N, K = map(int, input().split())

    c = [[0] * 4000 for _ in range(4000)]
    c[0][0] = 1
    for i in range(1, 4000):
        ci = c[i]
        ci1 = c[i - 1]
        ci[0] = 1
        for j in range(1, i + 1):
            ci[j] = (ci1[j - 1] + ci1[j]) % 1000000007

    def f(n, k):
        return c[n+k-1][k-1]

    for i in range(1, K + 1):
        print((f(K-i, i) * f(N-K-(i-1), i+1)) % 1000000007)


main()

Buggy python submission (verdict: Time Limit Exceeded):
N, K = map(int, input().split())

c = [[0] * 4000 for _ in range(4000)]
c[0][0] = 1
for i in range(1, 4000):
    ci = c[i]
    ci1 = c[i - 1]
    ci[0] = 1
    for j in range(1, i + 1):
        ci[j] = (ci1[j - 1] + ci1[j]) % 1000000007

for i in range(1, K + 1):
    print(c[K - 1][i - 1] * c[N - K + 1][i] % 1000000007)


Fixed submission:
def main():
    N, K = map(int, input().split())

    c = [[0] * 4000 for _ in range(4000)]
    c[0][0] = 1
    for i in range(1, 4000):
        ci = c[i]
        ci1 = c[i - 1]
        ci[0] = 1
        for j in range(1, i + 1):
            ci[j] = (ci1[j - 1] + ci1[j]) % 1000000007

    def f(n, k):
        return c[n+k-1][k-1]

    for i in range(1, K + 1):
        print((f(K-i, i) * f(N-K-(i-1), i+1)) % 1000000007)


main()

Buggy python submission (verdict: Time Limit Exceeded):
n, k = [int(e) for e in input().split()]
divisor = 10 ** 9 + 7
cache = {}
def memoize(f):
    global cache
    def _(*args):
        if not args in cache:
            cache[args] = f(*args)
        return cache[args]
    return _
@memoize
def f(n, x):
  if n == 0:
    return 1
  if n == 1:
    return x
  if x == 1:
    return 1
  if x == 2:
    return n + 1
  if x == 3:
    return (n + 1) * (n + 2) // 2
  else:
    return sum(f(i, x - 1) for i in range(n + 1)) % divisor
for i in range(1, k + 1):
  print(f(k - i, i) * f(n - k - i + 1, i + 1) % divisor)

Fixed submission:
def main():
    N, K = map(int, input().split())

    c = [[0] * 4000 for _ in range(4000)]
    c[0][0] = 1
    for i in range(1, 4000):
        ci = c[i]
        ci1 = c[i - 1]
        ci[0] = 1
        for j in range(1, i + 1):
            ci[j] = (ci1[j - 1] + ci1[j]) % 1000000007

    def f(n, k):
        return c[n+k-1][k-1]

    for i in range(1, K + 1):
        print((f(K-i, i) * f(N-K-(i-1), i+1)) % 1000000007)


main()

Buggy python submission (verdict: Time Limit Exceeded):
n, k = [int(e) for e in input().split()]
divisor = 10 ** 9 + 7
cache = {}
def memoize(f):
    global cache
    def _(*args):
        if not args in cache:
            cache[args] = f(*args)
        return cache[args]
    return _
@memoize
def f(n, x):
  if x == 1:
    return 1
  if x == 2:
    return n + 1
  if x == 3:
    return (n + 1) * (n + 2) // 2
  else:
    return sum(f(i, x - 1) for i in range(n + 1)) % divisor
for i in range(1, k + 1):
  print(f(k - i, i) * f(n - k - i + 1, i + 1) % divisor)


Fixed submission:
def main():
    N, K = map(int, input().split())

    c = [[0] * 4000 for _ in range(4000)]
    c[0][0] = 1
    for i in range(1, 4000):
        ci = c[i]
        ci1 = c[i - 1]
        ci[0] = 1
        for j in range(1, i + 1):
            ci[j] = (ci1[j - 1] + ci1[j]) % 1000000007

    def f(n, k):
        return c[n+k-1][k-1]

    for i in range(1, K + 1):
        print((f(K-i, i) * f(N-K-(i-1), i+1)) % 1000000007)


main()

Buggy python submission (verdict: Time Limit Exceeded):
n, k = [int(e) for e in input().split()]
divisor = 10 ** 9 + 7
cache = {}
def memoize(f):
    global cache
    def _(*args):
        if not args in cache:
            cache[args] = f(*args)
        return cache[args]
    return _
@memoize
def f(n, x):
  if x == 1:
    return 1
  if x == 2:
    return n + 1
  else:
    return sum(f(i, x - 1) for i in range(n + 1)) % divisor
for i in range(1, k + 1):
  print(f(k - i, i) * f(n - k - i + 1, i + 1) % divisor)


Fixed submission:
def main():
    N, K = map(int, input().split())

    c = [[0] * 4000 for _ in range(4000)]
    c[0][0] = 1
    for i in range(1, 4000):
        ci = c[i]
        ci1 = c[i - 1]
        ci[0] = 1
        for j in range(1, i + 1):
            ci[j] = (ci1[j - 1] + ci1[j]) % 1000000007

    def f(n, k):
        return c[n+k-1][k-1]

    for i in range(1, K + 1):
        print((f(K-i, i) * f(N-K-(i-1), i+1)) % 1000000007)


main()

Buggy python submission (verdict: Time Limit Exceeded):
n, k = [int(e) for e in input().split()]
cache = {}
def memoize(f):
    global cache
    def _(*args):
        if not args in cache:
            cache[args] = f(*args)
        return cache[args]
    return _
@memoize
def f(n, x):
  if x == 1:
    return 1
  else:
    return sum(f(i, x - 1) for i in range(n + 1))
for i in range(1, k + 1):
  print(f(k - i, i) * f(n - k - i + 1, i + 1) % (10 ** 9 + 7))

Fixed submission:
def main():
    N, K = map(int, input().split())

    c = [[0] * 4000 for _ in range(4000)]
    c[0][0] = 1
    for i in range(1, 4000):
        ci = c[i]
        ci1 = c[i - 1]
        ci[0] = 1
        for j in range(1, i + 1):
            ci[j] = (ci1[j - 1] + ci1[j]) % 1000000007

    def f(n, k):
        return c[n+k-1][k-1]

    for i in range(1, K + 1):
        print((f(K-i, i) * f(N-K-(i-1), i+1)) % 1000000007)


main()