qyliang/CodeNanoFix huggingface dataset:
Buggy code:
BIG_NUM = 2000000000
MOD = 1000000007
EPS = 0.000000001

import math

N,K = map(int,input().split())

def combination_fuc(n,r):
    return math.factorial(n) // (math.factorial(n - r) * math.factorial(r))
#dp=[[0 for i in range(N)] for j in range(N)]
#for i in range(N):
#    dp[i][0] = 1
#    dp[i][i] = 1
#for i in range(2,N):
#    for j in range(1,i):
#        dp[i][j] = dp[i-1][j-1] + dp[i-1][j]
#for i in range(1,K+1):
#    tmp=dp[N-K+1][i]*dp[K-1][i-1]
#    if tmp > MOD:
#        print(tmp%MOD)
#    else:
#        print(tmp)

for i in range(1,K+1):
    if N-K+1 > i:
        print((combination_fuc(N-K+1,i)*combination_fuc(K-1,i-1))%MOD)
    else:
        print(0)


Fixed code:
BIG_NUM = 2000000000
MOD = 1000000007
EPS = 0.000000001

import math

N,K = map(int,input().split())

def combination_fuc(n,r):
    return math.factorial(n) // (math.factorial(n - r) * math.factorial(r))
#dp=[[0 for i in range(N)] for j in range(N)]
#for i in range(N):
#    dp[i][0] = 1
#    dp[i][i] = 1
#for i in range(2,N):
#    for j in range(1,i):
#        dp[i][j] = dp[i-1][j-1] + dp[i-1][j]
#for i in range(1,K+1):
#    tmp=dp[N-K+1][i]*dp[K-1][i-1]
#    if tmp > MOD:
#        print(tmp%MOD)
#    else:
#        print(tmp)

for i in range(1,K+1):
    if N-K+1 >= i:
        print((combination_fuc(N-K+1,i)*combination_fuc(K-1,i-1))%MOD)
    else:
        print(0)
Buggy code:
mod = int(1e9+7)
stair = [1]
for i in range(1,2001):
    stair.append(stair[i-1]*i%mod)
def comb(stair,n,r):
    return (stair[n]//(stair[n-r]*stair[r]))%mod

n,k = map(int,input().split())
for i in range(1,k+1):
    ans = comb(stair,n-k+1,i) * comb(stair,k-1,i-1)
    print(ans%mod)

Fixed code:
mod = int(1e9+7)
stair = [1]
for i in range(1,2001):
    stair.append(stair[i-1]*i)
def comb(stair,n,r):
    return (stair[n]//(stair[n-r]*stair[r]))%mod

n,k = map(int,input().split())
for i in range(1,k+1):
    ans = comb(stair,n-k+1,i) * comb(stair,k-1,i-1)
    print(ans%mod)
Buggy code:
# ABC132D - Blue and Red Balls
def get_fact_and_inv(lim: int) -> tuple:
    # compute tables of factorials and inverse factorials (1-idx)
    fact = [1] * (lim + 1)
    x = 1
    for i in range(1, lim + 1):
        x = (x * i) % MOD
        fact[i] = x
    inv = [1] * (lim + 1)
    inv[-1] = pow(fact[-1], MOD - 2, MOD)
    x = inv[-1]
    for i in range(lim - 1, 0, -1):
        x = (x * (i + 1)) % MOD
        inv[i] = x
    return fact, inv


def comb(n: int, r: int) -> int:
    # compute nCr (n! / r!(n - r)!)
    return (fact[n] * inv[r] * inv[n - r]) % MOD


def main():
    global MOD, fact, inv
    N, K = map(int, input().split())
    MOD = 10 ** 9 + 7
    fact, inv = get_fact_and_inv(N)
    ans = []
    for i in range(1, K + 1):
        if i >= N - K + 1:
            x = (comb(N - K + 1, i) * comb(K - 1, i - 1)) % MOD
        else:
            x = 0
        ans.append(x)
    print("\n".join(map(str, ans)))


if __name__ == "__main__":
    main()

Fixed code:
# ABC132D - Blue and Red Balls
def get_fact_and_inv(lim: int) -> tuple:
    # compute tables of factorials and inverse factorials (1-idx)
    fact = [1] * (lim + 1)
    x = 1
    for i in range(1, lim + 1):
        x = (x * i) % MOD
        fact[i] = x

    inv = [1] * (lim + 1)
    inv[-1] = pow(fact[-1], MOD - 2, MOD)
    x = inv[-1]
    for i in range(lim - 1, 0, -1):
        x = (x * (i + 1)) % MOD
        inv[i] = x
    return fact, inv


def comb(n: int, r: int) -> int:
    # compute nCr (n! / r!(n - r)!)
    return (fact[n] * inv[r] * inv[n - r]) % MOD


def main():
    global MOD, fact, inv
    N, K = map(int, input().split())
    MOD = 10 ** 9 + 7
    fact, inv = get_fact_and_inv(N)
    ans = []
    for i in range(1, K + 1):
        if N - K - i + 1 >= 0:
            x = (comb(N - K + 1, i) * comb(K - 1, i - 1)) % MOD
        else:
            x = 0
        ans.append(x)
    print("\n".join(map(str, ans)))


if __name__ == "__main__":
    main()
Buggy code:
def euclid(a,n):
    a0 = a
    a1 = n
    x0 = 1
    x1 = 0
    while (a1!=1):
        q = a0 // a1
        temp = a1
        a1 = a0 - a1*q
        a0 = temp
        temp = x1
        x1 = x0 - q*x1
        x0 = temp
    if (x1 < 0):
        x1 = n + x1
    return x1


n, k = map(int, input().split())
r = n-k
z = 10**9+7
tm = [1]
for i in range(1, n+1):
    tm.append(tm[-1]*i%z)
tm.append(1)
print(r+1)
c = min(k, r+1)
a = tm[r+1]
for i in range(2,c+1):
    b = tm[k-1]*euclid(tm[i-1]*tm[k-i], z)%z
    print(b*a*euclid(tm[i]*tm[r-i+1]%z, z)%z)
for j in range(i, k+1):
    print(0)

Fixed code:
def euclid(a,n):
    a0 = a
    a1 = n
    x0 = 1
    x1 = 0
    while (a1!=1):
        q = a0 // a1
        temp = a1
        a1 = a0 - a1*q
        a0 = temp
        temp = x1
        x1 = x0 - q*x1
        x0 = temp
    if (x1 < 0):
        x1 = n + x1
    return x1


n, k = map(int, input().split())
r = n-k
z = 10**9+7
tm = [1]
for i in range(1, n+1):
    tm.append(tm[-1]*i%z)
tm.append(1)
print(r+1)
c = min(k, r+1)
a = tm[r+1]
i=1
for i in range(2,c+1):
    b = tm[k-1]*euclid(tm[i-1]*tm[k-i], z)%z
    print(b*a*euclid(tm[i]*tm[r-i+1]%z, z)%z)
for j in range(i, k):
    print(0)
Buggy code:
N, K = map(int, input().split())
import math
def nCr(n, r):
    return math.factorial(n) // (math.factorial(n - r) * math.factorial(r))
for j in range(K):
  if (2*j+1)>N:
    print(0)
  else:
    x = (nCr((K+j-2), j) * nCr(N-K+1, j+1)
    if x > 10**9+7:
         print(x%(10**9+7))
    else:
         print(x)
        

Fixed code:
N, K = map(int, input().split())

import math
def nCr(n, r):
    return math.factorial(n) // (math.factorial(n - r) * math.factorial(r))
  
for j in range(K):
  if (K+j)>N:
    print(0)
  else:
    x = (nCr((K-1), j) * nCr(N-K+1, j+1))
    if (x > (10**9+7)):
         print(x%(10**9+7))
    else:
         print(x)
Buggy code:
N, K = map(int, input().split())
from operator import mul
from functools import reduce

def nCr(n,r):
    r = min(n-r,r)
    if r == 0: return 1
    over = reduce(mul, range(n, n - r, -1))
    under = reduce(mul, range(1,r + 1))
    return over // under

for j in range(K):
  if (2*j+1)>N:
    print(0)
  else:
    x = (nCr((K+j-2), j) * nCr(N-K+1, j+1)
    if x > 10**9+7:
         print(x%(10**9+7))
    else:
         print(x)
        

Fixed code:
N, K = map(int, input().split())
from operator import mul
from functools import reduce
 
def nCr(n,r):
    r = min(n-r,r)
    if r == 0: return 1
    over = reduce(mul, range(n, n - r, -1))
    under = reduce(mul, range(1,r + 1))
    return over // under
 
for j in range(K):
  if (K+j)>N:
    print(0)
  else:
    x = (nCr((K-1), j) * nCr(N-K+1, j+1))
    if (x > (10**9+7)):
         print(x%(10**9+7))
    else:
         print(x)
Buggy code:
class BigCombination(object):
    __slots__ = ["mod", "factorial", "inverse"]

    def __init__(self, mod: int = 10**9+7, max_n: int = 10**6):
        fac, inv = [1], []
        fac_append, inv_append = fac.append, inv.append

        for i in range(1, max_n+1):
            fac_append(fac[-1] * i % mod)

        inv_append(pow(fac[-1], mod-2, mod))

        for i in range(max_n, 0, -1):
            inv_append(inv[-1] * i % mod)

        self.mod, self.factorial, self.inverse = mod, fac, inv[::-1]

    def get_combination(self, n, r):
        return self.factorial[n] * self.inverse[r] * self.inverse[n-r] % self.mod

    def get_permutation(self, n, r):
        return self.factorial[n] * self.inverse[n-r] % self.mod
import math
Big = BigCombination()
n,k = map(int,input().split())
s = 0
for i in range(max(n,k)):
    s= (Big.get_combination(n-k+1,i+1) *Big.get_combination(k-1,i))%(10**9+7)
    if s != 0:print((Big.get_combination(n-k+1,i+1) *Big.get_combination(k-1,i))%(10**9+7))
    else:break




Fixed code:
class BigCombination(object):
    __slots__ = ["mod", "factorial", "inverse"]

    def __init__(self, mod: int = 10**9+7, max_n: int = 10**6):
        fac, inv = [1], []
        fac_append, inv_append = fac.append, inv.append

        for i in range(1, max_n+1):
            fac_append(fac[-1] * i % mod)

        inv_append(pow(fac[-1], mod-2, mod))

        for i in range(max_n, 0, -1):
            inv_append(inv[-1] * i % mod)

        self.mod, self.factorial, self.inverse = mod, fac, inv[::-1]

    def get_combination(self, n, r):
        return self.factorial[n] * self.inverse[r] * self.inverse[n-r] % self.mod

    def get_permutation(self, n, r):
        return self.factorial[n] * self.inverse[n-r] % self.mod
import math
Big = BigCombination()
n,k = map(int,input().split())
s = 0
for i in range(k):
    if n - k + 1 < i + 1:
      	print('0')
      	continue
    print((Big.get_combination(n-k+1,i+1) *Big.get_combination(k-1,i))%(10**9+7))
Buggy code:
import math

def myfactorial(n):
  return math.factorial(n) % 1000000007

def combinations_count(n, r):
  return (myfactorial(n) // (myfactorial(n - r) * myfactorial(r))) % 1000000007

n, k = map(int, input().split())
for i in range(1, k+1):
  if n-k+1 < i:
    print(0)
  else:
    print(combinations_count(k-1, i-1) * combinations_count(n-k+1, i) % 1000000007) 

Fixed code:
import math

def myfactorial(n):
  return math.factorial(n)

def combinations_count(n, r):
  return (myfactorial(n) // (myfactorial(n - r) * myfactorial(r))) % 1000000007

n, k = map(int, input().split())
for i in range(1, k+1):
  if n-k+1 < i:
    print(0)
  else:
    print(combinations_count(k-1, i-1) * combinations_count(n-k+1, i) % 1000000007)
Buggy code:
import math
n,k = map(int, input().split())
end=min(n-k+1,k)
ans=1
for i in range(1,end+1):
    ans=math.factorial(n-k+1)*math.factorial(k-1)//(math.factorial(i)*math.factorial(n-k+1-i)*math.factorial(i-1)*math.factorial(k-i))
    print(ans%(10**9+7))
    if end=n-k+1:
        for _ in range(end+1,k+1)
        print(0)

Fixed code:
import math
n,k = map(int, input().split())
end=min(n-k+1,k)
ans=1
for i in range(1,end+1):
    ans=math.factorial(n-k+1)*math.factorial(k-1)//(math.factorial(i)*math.factorial(n-k+1-i)*math.factorial(i-1)*math.factorial(k-i))
    print(ans%(10**9+7))
if end==n-k+1:
    for _ in range(end+1,k+1):
        print("0")
Buggy code:

from operator import mul
from functools import reduce

def cmb(n,r):
    r = min(n-r,r)
    if r == 0: return 1
    over = reduce(mul, range(n, n - r, -1))
    under = reduce(mul, range(1,r + 1))
    return over // under

N, K = map(int, input().split())

if N-K+1 > K:
    p = K
    for i in range(1, p+1):
        a = cmb(N-K+1, i) * cmb(K-1, i-1)
        print(int(a%1000000007))
            
    for i in range(N-K+2, K+1):
        print(0)


Fixed code:

from operator import mul
from functools import reduce

def cmb(n,r):
    r = min(n-r,r)
    if r == 0: return 1
    over = reduce(mul, range(n, n - r, -1))
    under = reduce(mul, range(1,r + 1))
    return over // under

N, K = map(int, input().split())

if N-K+1 > K:
    p = K
    for i in range(1, p+1):
        a = cmb(N-K+1, i) * cmb(K-1, i-1)
        print(int(a%1000000007))
else:
    p = N-K+1
    for i in range(1, p+1):
        a = cmb(N-K+1, i) * cmb(K-1, i-1)
        print(int(a%1000000007))
            
    for i in range(N-K+2, K+1):
        print(0)
Buggy code:
import math
from math import gcd,pi,sqrt,factorial
INF = float("inf")
MOD = 10**9 + 7

import sys
sys.setrecursionlimit(10**6)
import itertools
import bisect
from collections import Counter,deque
def i_input(): return int(input())
def i_map(): return map(int, input().split())
def i_list(): return list(i_map())
def i_row(N): return [i_input() for _ in range(N)]
def i_row_list(N): return [i_list() for _ in range(N)]
def s_input(): return input()
def s_map(): return input().split()
def s_list(): return list(s_map())
def s_row(N): return [s_input for _ in range(N)]
def s_row_str(N): return [s_list() for _ in range(N)]
def s_row_list(N): return [list(s_input()) for _ in range(N)]


def main():
    n,k = i_map()

    p = n - k + 1
    b = k - 1

    for i in range(1,k+1):
        if p-i > 0:
            pci = factorial(p)//factorial(p-i)//factorial(i)
        else:
            pci = p
        bci1 = factorial(b)//factorial(b-(i-1))//factorial(i-1)
        print(pci*bci1%MOD)

if __name__=="__main__":
    main()


Fixed code:
import math
from math import gcd,pi,sqrt,factorial
INF = float("inf")
MOD = 10**9 + 7

import sys
sys.setrecursionlimit(10**6)
import itertools
import bisect
from collections import Counter,deque
def i_input(): return int(input())
def i_map(): return map(int, input().split())
def i_list(): return list(i_map())
def i_row(N): return [i_input() for _ in range(N)]
def i_row_list(N): return [i_list() for _ in range(N)]
def s_input(): return input()
def s_map(): return input().split()
def s_list(): return list(s_map())
def s_row(N): return [s_input for _ in range(N)]
def s_row_str(N): return [s_list() for _ in range(N)]
def s_row_list(N): return [list(s_input()) for _ in range(N)]


def main():
    n,k = i_map()

    p = n - k + 1
    b = k - 1

    def comb(n, r):
      if n-r>=0:
        return math.factorial(n) // (math.factorial(n - r) * math.factorial(r))
      else:
        return 0

    for i in range(1,k+1):
        pci = comb(p,i)
        bci1 = comb(b,i-1)
        print((pci*bci1)%MOD)

if __name__=="__main__":
    main()
Buggy code:
import math
N,K = [int(x) for x in input().split()]
inf = 10**9+7
for i in range(1,K+1):
  k = i-1
  kumi = math.factorial(K-i+k)//(math.factorial(K-i)*math.factorial(k))%inf
  a = math.factorial(N-K+1)
  b = math.factorial(i)
  if (N-K+1-i)<=0:
    print(0)
    continue
  c = math.factorial(N-K+1-i)
  a = a//b
  a = a//c%inf
  ans = kumi*a
  print(int(ans%inf))
  
  

  

Fixed code:
import math
N,K = [int(x) for x in input().split()]
inf = 10**9+7
for i in range(1,K+1):
  k = i-1
  kumi = math.factorial(K-i+k)//(math.factorial(K-i)*math.factorial(k))%inf
  a = math.factorial(N-K+1)
  b = math.factorial(i)
  if (N-K+1-i)<0:
    print(0)
    continue
  c = math.factorial(N-K+1-i)
  a = a//b
  a = a//c%inf
  ans = kumi*a
  print(int(ans%inf))
Buggy code:
def cmb(n, r, mod):
    if ( r<0 or r>n ):
        return 0
    r = min(r, n-r)
    return g1[n] * g2[r] * g2[n-r] % mod

mod = 10**9+7
N = 10**4
g1 = [1, 1]
g2 = [1, 1]
inverse = [0, 1]

for i in range( 2, N + 1 ):
    g1.append( ( g1[-1] * i ) % mod )
    inverse.append( ( -inverse[mod % i] * (mod//i) ) % mod )
    g2.append( (g2[-1] * inverse[-1]) % mod )
    
n,k=map(int,input().split())
for i in range(1,K+1):
    ans = cmb(n-k+1,i,mod)*cmb(k-1,i-1,mod)
    print(ans%mod)

Fixed code:
def cmb(n, r, mod):
    if (r<0 or r>n):
        return(0)
    r = min(r, n-r)
    return g1[n] * g2[r] * g2[n-r] % mod

mod = 10**9+7
N = 10**4
g1 = [1, 1]
g2 = [1, 1]
inverse = [0, 1]

for i in range(2,N+1):
    g1.append(( g1[-1] * i ) % mod)
    inverse.append( ( -inverse[mod % i] * (mod//i) ) % mod )
    g2.append( (g2[-1] * inverse[-1]) % mod )
    
n,k=map(int,input().split())
for i in range(1,k+1):
    ans = cmb(n-k+1,i,mod)*cmb(k-1,i-1,mod)
    print(ans%mod)
Buggy code:
import math
N,K = map(int,input().split())
blue = K
red = N-K
def permutations(n, r):
  if n == r:
    return 1
  else:
    return math.factorial(n) // math.factorial(n - r)

for i in range(1,K+1):
  ans = permutations(red+1,i)
  print(ans%(10**9+7))

Fixed code:
import math
N,K = map(int,input().split())
blue = K
red = N-K
def combinations(n, r):
  if n == r:
    return 1
  else:
    return math.factorial(n) // (math.factorial(n - r) * math.factorial(r))

for i in range(1,K+1):
  if i > N-K+1:
    print(0)
  else:
    ans = (combinations(red+1, i)*combinations(K-1, i-1))%(10**9+7)
    print(ans)
Buggy code:
def modinv(a, mod=10**9+7):
    return pow(a, mod-2, mod)

def combi(n,r,mod=10**9+7):
    fac = [0]*(n+1)
    fac[0] = 1
    fac[1] = 1
    for i in range(2,n+1):
        fac[i] = fac[i-1] * i % mod
    return( ( fac[n] * modinv(fac[r]) )%mod * modinv(fac[n-r]) % mod)

N,K = map(int,input().split())
for j in range(1,K+1):
    print(combi(N-K+1,j) * combi(K-1,j-1) % mod)

Fixed code:
mod = 10**9+7
def modinv(a, mod=10**9+7):
    return pow(a, mod-2, mod)

N,K = map(int,input().split())

fac = [0]*(N+1)
fac[0] = 1
fac[1] = 1
for i in range(2,N+1):
    fac[i] = fac[i-1] * i % mod

def combi(n,r,mod=10**9+7):
    return( ( fac[n] * modinv(fac[r]) )%mod * modinv(fac[n-r]) % mod)

for j in range(1,K+1):
    if N - K + 1 < j:
        print(0)
    else:
        print(combi(N-K+1,j) * combi(K-1,j-1) % mod)
Buggy code:
import sys
input = sys.stdin.readline
sys.setrecursionlimit(10**7)
from collections import Counter, deque
#from collections import defaultdict
from itertools import combinations, permutations, accumulate, groupby, product
from bisect import bisect_left,bisect_right
from heapq import heapify, heappop, heappush
from math import floor, ceil,pi
#from operator import itemgetter
def I(): return int(input())
def MI(): return map(int, input().split())
def LI(): return list(map(int, input().split()))
def LI2(): return [int(input()) for i in range(n)]
def MXI(): return [LI()for i in range(n)]
inf = 10**17
mod = 10**9 + 7

import math
def comb(n, r):
    if r>=0:
        if n>=r:
            return math.factorial(n) // (math.factorial(n - r) * math.factorial(r))
        else:
            return 0
    else:
        return 0
n,k=MI()
ans=[0 for i in range(k)]
b=k
r=n-k
for i in range(1,k+1):
    ans[i-1]=2*comb(b-1,i-1)*comb(r-1,i-1)+comb(b-1,i-1)*comb(r-1,i)+comb(b-1,i-1)*comb(r-1,i-2)

#print(ans)
for a in ans:
    print(a)

Fixed code:
import sys
input = sys.stdin.readline
sys.setrecursionlimit(10**7)
from collections import Counter, deque
#from collections import defaultdict
from itertools import combinations, permutations, accumulate, groupby, product
from bisect import bisect_left,bisect_right
from heapq import heapify, heappop, heappush
from math import floor, ceil,pi
#from operator import itemgetter
def I(): return int(input())
def MI(): return map(int, input().split())
def LI(): return list(map(int, input().split()))
def LI2(): return [int(input()) for i in range(n)]
def MXI(): return [LI()for i in range(n)]
inf = 10**17
mod = 10**9 + 7

import math
def comb(n, r):
    if n<0 or r<0 or n<r:
        return 0
    else:
        return math.factorial(n) // (math.factorial(n - r) * math.factorial(r))
def comod(n,r):
    return comb(n,r)%mod

n,k=MI()
ans=[0 for i in range(k)]
b=k
r=n-k
for i in range(1,k+1):
    #ans[i-1]=2*comod(b-1,i-1)*comod(r-1,i-1)+comod(b-1,i-1)*comod(r-1,i)+comod(b-1,i-1)*comod(r-1,i-2)
    ans[i-1]=comod(n-k+1,i)*comod(k-1,i-1)

#print(ans)
for a in ans:
    print(a%mod)
Buggy code:
import sys
input = sys.stdin.buffer.readline
import copy

def main():
    N,K = map(int,input().split())
    MOD = 10**9+7
    fac = [0 for _ in range(N+1)]
    fac[0],fac[1] = 1,1
    inv = copy.deepcopy(fac)
    invfac = copy.deepcopy(fac)
    
    for i in range(2,N+1):
        fac[i] = (fac[i-1]*i)%MOD
        inv[i] = MOD-(MOD//i)*inv[MOD%i]%MOD
        invfac[i] = (invfac[i-1]*inv[i])%MOD
        
    def coef(x,y):
        num = (((fac[x]*invfac[y])%MOD)*invfac[x-y]%MOD)
        return num
        
    for i in range(1,N-K+2):
        print(coef(N-K+1,i)*coef(K-1,i-1))
    for i in range(2*K-N-1):
        print(0)
        
if __name__ == "__main__":
    main()


Fixed code:
import sys
input = sys.stdin.buffer.readline
import copy

def main():
    N,K = map(int,input().split())
    MOD = 10**9+7
    fac = [0 for _ in range(N+1)]
    fac[0],fac[1] = 1,1
    inv = copy.deepcopy(fac)
    invfac = copy.deepcopy(fac)
    
    for i in range(2,N+1):
        fac[i] = (fac[i-1]*i)%MOD
        inv[i] = MOD-(MOD//i)*inv[MOD%i]%MOD
        invfac[i] = (invfac[i-1]*inv[i])%MOD
        
    def coef(x,y):
        num = (((fac[x]*invfac[y])%MOD)*invfac[x-y]%MOD)
        return num
        
    for i in range(1,K+1):
        if i <= N-K+1:
            print((coef(N-K+1,i)*coef(K-1,i-1))%MOD)
        else:
            print(0)
        
if __name__ == "__main__":
    main()
Buggy code:
n,k = map(int,input().split())
mod = 10**9+7

def kai(a):
    ans = 1
    for i in range(1,a+1):
        ans *= i
    return ans
    
for i in range(1,k+1):
    if(n-k+1<i):
        print(0)
        continue
    kusan=(kai(n-k+1))//kai(i)//kwai(n-k-i+1)%mod
    haibun=(kai(k-1)//kai(k-i)//kai(i-1))%mod
    print((kusan*haibun)%mod)
    

Fixed code:
n,k = map(int,input().split())
mod = 10**9+7

def kai(a):
    ans = 1
    for i in range(1,a+1):
        ans *= i
    return ans
    
for i in range(1,k+1):
    if(n-k+1<i):
        print(0)
        continue
    kusan=(kai(n-k+1))//kai(i)//kai(n-k-i+1)%mod
    haibun=(kai(k-1)//kai(k-i)//kai(i-1))%mod
    print((kusan*haibun)%mod)
Buggy code:
import sys
def input(): return sys.stdin.readline().strip()
def mapint(): return map(int, input().split())
sys.setrecursionlimit(10**9)

N, K = mapint()
red = N-K
mod = 10**9+7

pos = [1]*(N+1)
neg = [0]*(N+1)
s = 1
for i in range(1, N+1):
    s *= i
    s %= mod
    pos[i] = s
    neg[i] = pow(s, mod-2, mod)

# val = 0
# for i in range(1, K+1):
#     now = (pos[red+i]*neg[red]*neg[i]-val)*pos[K-1]*neg[i-1]*neg[K-i]%mod
#     print(now)
#     val = (now + val)%mod

for i in range(1, K+1):
    ans = pos[red+1]*neg[i]*neg[red+1-i]*pos[K-1]*neg[i-1]*neg[K-i]
    print(ans%mod)

Fixed code:
import sys
def input(): return sys.stdin.readline().strip()
def mapint(): return map(int, input().split())
sys.setrecursionlimit(10**9)

N, K = mapint()
red = N-K
mod = 10**9+7

pos = [1]*(N+1)
neg = [1]*(N+1)
s = 1
for i in range(1, N+1):
    s *= i
    s %= mod
    pos[i] = s
    neg[i] = pow(s, mod-2, mod)

# val = 0
# for i in range(1, K+1):
#     now = (pos[red+i]*neg[red]*neg[i]-val)*pos[K-1]*neg[i-1]*neg[K-i]%mod
#     print(now)
#     val = (now + val)%mod

for i in range(1, K+1):
    if N+1<K+i:
        print(0)
        continue
    ans = pos[red+1]*neg[i]*neg[red+1-i]*pos[K-1]*neg[i-1]*neg[K-i]
    print(ans%mod)
Buggy code:
n,k   = map(int,input().split())
mod = 10**9+7
kaijou = [1]
gyakugen = [1]
for i in range(1,n+1):
    nextk = kaijou[-1]*i%mod
    kaijou.append(nextk)
    nextg = pow(i,mod-2,mod)
    gyakugen.append(nextg*gyakugen[-1]%mod)
def nck(n,k,mod,kaijou,gyakugen):
    if n<= k:return 0
    return kaijou[n]*gyakugen[n-k]%mod*gyakugen[k]%mod
for i in range(1,k+1):
    ans = nck(n-k+1,i,mod,kaijou,gyakugen)*nck(k-1,i-1,mod,kaijou,gyakugen)%mod
    print(ans)
    

Fixed code:
n,k   = map(int,input().split())
mod = 10**9+7
kaijou = [1]
gyakugen = [1]
for i in range(1,n+1):
    nextk = kaijou[-1]*i%mod
    kaijou.append(nextk)
    nextg = pow(i,mod-2,mod)
    gyakugen.append(nextg*gyakugen[-1]%mod)
def nck(n,k,mod,kaijou,gyakugen):
    if n<= k:return 1
    return kaijou[n]*gyakugen[n-k]%mod*gyakugen[k]%mod
for i in range(1,k+1):
    if n-k+1 < i or k < i:
        print(0)
        continue
    ans = nck(n-k+1,i,mod,kaijou,gyakugen)*nck(k-1,i-1,mod,kaijou,gyakugen)%mod
    print(ans)
Buggy code:
import math
 
def combination_count(n,k):
    if k > n or k < 0:
        return 0
    if n == 0 or k == 0:
        return 1
    
    s = math.factorial(n)
    t = math.factorial(k)
    u = math.factorial(n-k)
    
    return s//(t*u)
  

  
n,k = map(int,input().split())
m = 10**9 + 7

for i in range(1,k+1):
  a =  combination_count(n+k-1,i)*combination_count(k-1,i-1)
  b = a%m
  print(b)

Fixed code:
import math
def combination_count(n,k):
    if k > n or k < 0:
        return 0
    if n == 0 or k == 0:
        return 1
    
    s = math.factorial(n)
    t = math.factorial(k)
    u = math.factorial(n-k)
    
    return s//(t*u)
  
 
  
p,q = map(int,input().split())
 
m = 10**9 + 7
 
for i in range(1,q+1):
  a =  combination_count(p-q+1,i) * combination_count(q-1,i-1)
  print(a%m)
Buggy code:
import math
 
def combination_count(n,k):
    if k > n or k < 0:
        return 0
    if n == 0 or k == 0:
        return 1
    
    s = math.factorial(n)
    t = math.factorial(k)
    u = math.factorial(n-k)
    
    return s//(t*u)
  
 
  
n,k = map(int,input().split())
m = 10**9 + 7
 
for i in range(1,k+1):
  a =  combination_count(n+k-1,i) * combination_count(k-1,i-1)
  print(a%m)

Fixed code:
import math
 
def combination_count(n,k):
    if k > n or k < 0:
        return 0
    if n == 0 or k == 0:
        return 1
    
    s = math.factorial(n)
    t = math.factorial(k)
    u = math.factorial(n-k)
    
    return s//(t*u)
    
n,k = map(int,input().split())
 
mod = 10**9 + 7
 
for i in range(1,k+1):
    x = combination_count(n-k+1,i) * combination_count(k-1, i-1)
    print(x%mod)