Buggy python submission (verdict: Runtime Error):
from math import factorial

def combination(n, k, MOD):
    return(factorial(n) // (factorial(n-k) * factorial(k))) % MOD


def main():
    N, K = map(int, input().split())
    MOD = 10**9+7
    for i in range(1,K+1):
        print(combination(N - K + 1, i,MOD) * combination(K - 1, i - 1,MOD) % MOD)

if __name__ == "__main__":
    main()




Fixed submission:
def fuctorial(n):
    ret = 1
    while n > 0:
        ret *= n
        n -= 1
    return ret

def combination(n, k, MOD):
    return (fuctorial(n) // (fuctorial(n-k) * fuctorial(k)))%MOD


def main():
    N, K = map(int, input().split())
    MOD = 10**9+7
    for i in range(1, K + 1):
        if i > N - K + 1:
            print(0)
        else:
            print(combination(N - K + 1, i,MOD) * combination(K - 1, i - 1,MOD) % MOD)

if __name__ == "__main__":
    main()

Buggy python submission (verdict: Time Limit Exceeded):
def fuctorial(n):
    ret = 1
    while n > 0:
        ret *= n
        n -= 1
    return ret

def combination(n, k):
    return fuctorial(n) // (fuctorial(n-k) * fuctorial(k))


def main():
    N, K = map(int, input().split())
    MOD = 10**9+7
    for i in range(1,K+1):
        print(combination(N - K + 1, i) * combination(K - 1, i - 1) % MOD)

if __name__ == "__main__":
    main()

Fixed submission:
def fuctorial(n):
    ret = 1
    while n > 0:
        ret *= n
        n -= 1
    return ret

def combination(n, k, MOD):
    return (fuctorial(n) // (fuctorial(n-k) * fuctorial(k)))%MOD


def main():
    N, K = map(int, input().split())
    MOD = 10**9+7
    for i in range(1, K + 1):
        if i > N - K + 1:
            print(0)
        else:
            print(combination(N - K + 1, i,MOD) * combination(K - 1, i - 1,MOD) % MOD)

if __name__ == "__main__":
    main()

Buggy python submission (verdict: Time Limit Exceeded):
def fuctorial(n):
    ret = 1
    while n > 0:
        ret *= n
        n -= 1
    return ret

def combination(n, k):
    return fuctorial(n) // (fuctorial(n-k) * fuctorial(k))


N, K = map(int, input().split())
MOD = 10**9+7
for i in range(1,K+1):
    print(combination(N - K + 1, i) * combination(K - 1, i - 1) % MOD)


Fixed submission:
def fuctorial(n):
    ret = 1
    while n > 0:
        ret *= n
        n -= 1
    return ret

def combination(n, k, MOD):
    return (fuctorial(n) // (fuctorial(n-k) * fuctorial(k)))%MOD


def main():
    N, K = map(int, input().split())
    MOD = 10**9+7
    for i in range(1, K + 1):
        if i > N - K + 1:
            print(0)
        else:
            print(combination(N - K + 1, i,MOD) * combination(K - 1, i - 1,MOD) % MOD)

if __name__ == "__main__":
    main()

Buggy python submission (verdict: Time Limit Exceeded):
def fuctorial(n):
    ret = 1
    while n > 0:
        ret *= n
        n -= 1
    return ret

def combination(n, k):
    return fuctorial(n) // (fuctorial(n-k) * fuctorial(k))


N, K = map(int, input().split())
MOD = 10**9+7
for i in range(1,K+1):
    print(combination(N - K + 1, i) * combination(K - 1, i - 1) % MOD)


Fixed submission:
def fuctorial(n):
    ret = 1
    while n > 0:
        ret *= n
        n -= 1
    return ret

def combination(n, k, MOD):
    return (fuctorial(n) // (fuctorial(n-k) * fuctorial(k)))%MOD


def main():
    N, K = map(int, input().split())
    MOD = 10**9+7
    for i in range(1, K + 1):
        if i > N - K + 1:
            print(0)
        else:
            print(combination(N - K + 1, i,MOD) * combination(K - 1, i - 1,MOD) % MOD)

if __name__ == "__main__":
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys
sys.setrecursionlimit(10000)

def fuctorial(n):
    if n <1:
        return 1
    return n * fuctorial(n-1)

def combination(n, k):
    return fuctorial(n) // (fuctorial(n-k) * fuctorial(k))


N, K = map(int, input().split())
MOD = 10**9+7
for i in range(1,K+1):
    print(combination(N - K + 1, i) * combination(K - 1, i - 1) % MOD)


Fixed submission:
def fuctorial(n):
    ret = 1
    while n > 0:
        ret *= n
        n -= 1
    return ret

def combination(n, k, MOD):
    return (fuctorial(n) // (fuctorial(n-k) * fuctorial(k)))%MOD


def main():
    N, K = map(int, input().split())
    MOD = 10**9+7
    for i in range(1, K + 1):
        if i > N - K + 1:
            print(0)
        else:
            print(combination(N - K + 1, i,MOD) * combination(K - 1, i - 1,MOD) % MOD)

if __name__ == "__main__":
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys
sys.setrecursionlimit(10000)

def fuctorial(n):
    if n <1:
        return 1
    return n * fuctorial(n-1)

def combination(n, k):
    return fuctorial(n) // (fuctorial(n-k) * fuctorial(k))


N, K = map(int, input().split())
MOD = 10**9+7
for i in range(1,K+1):
    print(combination(N - K + 1, i) * combination(K - 1, i - 1) % MOD)


Fixed submission:
def fuctorial(n):
    ret = 1
    while n > 0:
        ret *= n
        n -= 1
    return ret

def combination(n, k, MOD):
    return (fuctorial(n) // (fuctorial(n-k) * fuctorial(k)))%MOD


def main():
    N, K = map(int, input().split())
    MOD = 10**9+7
    for i in range(1, K + 1):
        if i > N - K + 1:
            print(0)
        else:
            print(combination(N - K + 1, i,MOD) * combination(K - 1, i - 1,MOD) % MOD)

if __name__ == "__main__":
    main()