qyliang/CodeNanoFix huggingface dataset:
Buggy code:
from operator import mul
from functools import reduce

def cmb(n, r):
  if n < r:
    return 0
  r = min(n - r, r)
  if r == 0:
    return 1
  numer = reduce(mul, range(n, n - r, -1))
  denom = reduce(mul, range(1, r + 1))
  return (numer // denom) % (10 ** 9 + 7)

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

Fixed code:
from operator import mul
from functools import reduce

def cmb(n, r):
  if n < r:
    return 0
  r = min(n - r, r)
  if r == 0:
    return 1
  numer = reduce(mul, range(n, n - r, -1))
  denom = reduce(mul, range(1, r + 1))
  return (numer // denom) % (10 ** 9 + 7)

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

def combi(n ,k):
    return math.factorial(n)/(math.factorial(k)*math.factorial(n-k))

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

cnt_list = []
for i in range(1,K+1):
    if N-K+1 >= i:
        cnt = combi(N-K+1,i)*combi(K-1,i-1)
    else:
        cnt =0
    cnt_list.append(cnt%(10**9+7))

for i in range(len(cnt_list)):
    print(cnt_list[i])

Fixed code:
import math

def combi(n ,k):
    return math.factorial(n)//(math.factorial(k)*math.factorial(n-k))

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

cnt_list = []
for i in range(1,K+1):
    if N-K+1 >= i:
        cnt = int(combi(N-K+1,i)*combi(K-1,i-1))
    else:
        cnt =0
    cnt_list.append(cnt%(10**9+7))

for i in range(len(cnt_list)):
    print(cnt_list[i])
Buggy code:
N, K = map(int, input().split())
MOD=10**9+7

def cmb(n, r):
    if n - r < r: r = n - r
    if r == 0: return 1
    if r == 1: return n
    if r < n: return 0 #date added

    numerator = [n - r + k + 1 for k in range(r)]
    denominator = [k + 1 for k in range(r)]

    for p in range(2,r+1):
        pivot = denominator[p - 1]
        if pivot > 1:
            offset = (n - r) % p
            for k in range(p-1,r,p):
                numerator[k - offset] /= pivot
                denominator[k] /= pivot

    result = 1
    for k in range(r):
        if numerator[k] > 1:
            result *= int(numerator[k])

    return result

presum=0
for i in range(1,K+1):
    ans=cmb(N-K+1, i)%MOD*cmb(K-1, i-1)%MOD
    # cmb(N-K+i, i) -> cmb(N-K+1, i)
    presum += ans
    print(ans)

Fixed code:

N, K = map(int, input().split())
MOD=10**9+7

def cmb(n, r):
    if n < r: return 0 #date added
    if n - r < r: r = n - r
    if r == 0: return 1
    if r == 1: return n

    numerator = [n - r + k + 1 for k in range(r)]
    denominator = [k + 1 for k in range(r)]

    for p in range(2,r+1):
        pivot = denominator[p - 1]
        if pivot > 1:
            offset = (n - r) % p
            for k in range(p-1,r,p):
                numerator[k - offset] /= pivot
                denominator[k] /= pivot

    result = 1
    for k in range(r):
        if numerator[k] > 1:
            result *= int(numerator[k])

    return result

for i in range(1,K+1):
    ans=cmb(N-K+1, i)%MOD*cmb(K-1, i-1)%MOD
    # cmb(N-K+i, i) -> cmb(N-K+1, i)
    #if N==K and 1 < i: ans=0
    print(int(ans%MOD))
Buggy code:
# coding: utf-8
from math import factorial
N, K = map(int, input().split())
mod = 10**9 + 7
def combination(n, r):
    if n > r:
        return int(factorial(n) // (factorial(r) * factorial(n - r)))
    else:
        return 0

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


Fixed code:
# coding: utf-8
from math import factorial
def combination(n, r):
    if n >= r and n >= 0 and r >= 0:
        return int(factorial(n) // (factorial(r) * factorial(n - r)))
    else:
        return 0
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)
Buggy code:
n, k = map(int, input().split())

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

def out(num):
    print(num%1000000007)

for i in range(1,k+1):
    if n-k+1 < 1 :
       return 0
    else out(cmb(k-1,i-1)*cmb(n-k+1,i))

Fixed code:
n, k = map(int, input().split())

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

def out(num):
    print(num%1000000007)

for i in range(1,k+1):
    if n-k+1 < i :
      print("0")
    else:
      out(cmb(k-1,i-1)*cmb(n-k+1,i))
Buggy code:
from math import factorial

def cc(n, r):
    return factorial(n) // (factorial(n - r) * factorial(r))

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

if n == k:
    for i in range(k):
        if i == 0:
            cnt = 1
        else:
            cnt = 0
        print(cnt % (10 ** 9 + 7))
        
else:
    for i in range(k):
        j = i + 1
        print(n-k+1, j, k-1, j)
        cnt = cc(n-k+1, j) * cc(k-1, j-1)
    
    
        print(cnt % (10**9 + 7))

Fixed code:
from math import factorial

def cc(n, r):
    return factorial(n) // (factorial(n - r) * factorial(r))

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

if n == k:
    for i in range(k):
        if i == 0:
            cnt = 1
        else:
            cnt = 0
        print(cnt % (10 ** 9 + 7))

else:
    for i in range(k):
        j = i + 1
        if j > n-k+1:
            cnt = 0
        else:
            cnt = cc(n-k+1, j) * cc(k-1, j-1)


        print(cnt % (10**9 + 7))
Buggy code:
from math import factorial

N, K = [int(_) for _ in input().split()]
# N = 10
MOD = 10 ** 9 + 7

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

gyaku = [0] * (N + 1)
gyaku[0] = gyaku[1] = 1

for i in range(2, N + 1):
    # gyaku[i] = (gyaku[i - 1] * pow(i, MOD - 2, MOD)) % MOD
    gyaku[i] = pow(kaijo[i], MOD - 2, MOD)


def calc(n, k):
    # return (kaijo[n] * gyaku[n - k] * gyaku[k]) % MOD
    return factorial(n) // (factorial(n - k) * factorial(k))


def solve():
    for i in range(1, K + 1):
        if i < N-K:
            n = N - K + 1
            k = i
            print((calc(n, k) * calc(K - 1, i - 1)) % MOD)
        else:
            print(0)


solve()


Fixed code:
from math import factorial

N, K = [int(_) for _ in input().split()]
# N = 10
MOD = 10 ** 9 + 7

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

gyaku = [0] * (N + 1)
gyaku[0] = gyaku[1] = 1

for i in range(2, N + 1):
    # gyaku[i] = (gyaku[i - 1] * pow(i, MOD - 2, MOD)) % MOD
    gyaku[i] = pow(kaijo[i], MOD - 2, MOD)


def calc(n, k):
    # return (kaijo[n] * gyaku[n - k] * gyaku[k]) % MOD
    return factorial(n) // (factorial(n - k) * factorial(k))


def solve():
    for i in range(1, K + 1):
        n = N - K + 1
        k = i
        if k <= n:
            print((calc(n, k) * calc(K - 1, i - 1)) % MOD)
        else:
            print(0)


solve()
Buggy code:
from math import factorial

def count_pattern(n, r):
    if r == 0:
        return 1
    else:
        a = factorial(k) / factorial(r) / factorial(n - r)

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

for i in range(k):
    blue_pattern =  count_pattern(n, i - 1)
    red_pattern = count_pattern(k, i)
    total_pattern = blue_pattern * red_pattern
    print (total_pattern % (10 ** 9 + 7))


Fixed code:
from math import factorial

def count_pattern(n, r):
    if r == 0:
        return 1
    elif n < r:
        return 0
    else:
        a = factorial(n) // factorial(r) // factorial(n - r)
    return int(a)

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

for i in range(k):
    pick_count = i + 1

    blue_pattern =  count_pattern(k - 1, pick_count - 1)
    red_pattern = count_pattern(n - k + 1 , pick_count)
    total_pattern = blue_pattern * red_pattern
    print (int(total_pattern % (10 ** 9 + 7)))
Buggy code:
def cmb(n, r):
  n_ = math.factorial(n)
  n_r_ = math.factorial(n-r) 
  r_ = math.factorial(r)
  return n_//(r_*n_r_)

n,k = list(map(int, input().split(" ")))

for i in range(1, k+1):
  if n-k+1 >= i:
    ni =  cmb(n-k+1,i)*cmb(k-1,i-1)%(10**9+7)
    print(int(ni))
    else:
      print(0)

Fixed code:
import math
def cmb(n, r):
  n_ = math.factorial(n)
  n_r_ = math.factorial(n-r) 
  r_ = math.factorial(r)
  return n_//(r_*n_r_)

n,k = list(map(int, input().split(" ")))

for i in range(1, k+1):
  if n-k+1 >= i:
    ans =  cmb(n-k+1,i)*cmb(k-1,i-1)%(10**9+7)
  else:
    ans = 0
  print(ans)
Buggy code:
N, K = map(int, input().split())
INF = 10**9 + 7
def powmod(a, n, mod):
    p = 1
    while n > 0:
        if n % 2 == 0:
            a = a**2 % mod
            n /= 2
        else:
            p *= a
            p %= mod
            n -= 1
    return p

def invmod(a, mod):
    return powmod(a, mod-2, mod)

inv = []
for i in range(2002):
    inv.append(invmod(i, INF))

def combmod(n, k, mod):
    bunsi = 1
    bunbo = 1
    for i in range(1, n+1):
        bunsi *= i
    for i in range(1, k+1):
        bunbo *= inv[i]
    for i in range(1, n - k + 1):
        bunbo *= inv[i]
    return bunsi * bunbo % mod

for i in range(1, K+1):
    print((combmod(K-1, i-1, INF) * combmod(N-K+1, i, INF))%mod)

Fixed code:
N, K = map(int, input().split())
INF = 10**9 + 7
def powmod(a, n, mod):
    p = 1
    while n > 0:
        if n % 2 == 0:
            a = a**2 % mod
            n /= 2
        else:
            p *= a
            p %= mod
            n -= 1
    return p

def invmod(a, mod):
    return powmod(a, mod-2, mod)

fac = [1] * 2002
inv = [1] * 2002
for i in range(2002):
    if i == 0:
        fac[i] = 1
        inv[i] = 1
    else:
        fac[i] = fac[i-1] * i % INF
        inv[i] = inv[i-1] * invmod(i, INF) % INF


def combmod(n, k, mod):
    if n < k : return 0
    else:
        bunsi = fac[n]
        bunbo = inv[k] * inv[n-k]
        return bunsi * bunbo % mod

for i in range(1, K+1):
    print((combmod(K-1, i-1, INF) * combmod(N-K+1, i, INF))%INF)
Buggy code:
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:
        ans = 1
        for j in range(K - i):
            ans = ans * (K - 1 - j )% mod
            ans = ans * pow(K - i - j, mod-2, mod) % mod
        for k in range(N - K - i + 1):
            ans = ans * (N - K + 1 - k) % mod
            ans = ans * pow(N - K - i + 1 - k, mod - 2, mod) % mod
        print(ans)

Fixed code:
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:
        ans = 1
        tmp = 1
        for j in range(K - i):
            ans = ans * (K - 1 - j )% mod
            tmp = tmp * (K - i - j) % mod
        for k in range(N - K - i + 1):
            ans = ans * (N - K + 1 - k) % mod
            tmp = tmp * (N - K - i + 1 - k) % mod
        ans = ans % mod * pow(tmp, mod - 2, mod) % mod
        print(ans)
Buggy code:
N = list(map(int,input().split()))
M = 10**9 + 7
red = N[0] - N[1]
x=1
for i in range(1,N[1]+1):
    x *= (red+2-i)*(N[1]-i)//(i*(i-1))
    print(x%M)

Fixed code:
N = list(map(int,input().split()))
M = 10**9 + 7
red = N[0] - N[1]
x = red+1
print(x)
for i in range(2,N[1]+1):
    x = x*(red+2-i)*(N[1]-i+1)//(i*(i-1))
    print(int(x%M))
Buggy code:


import sys
sys.setrecursionlimit(50000)

nCr = {}
def cmb(n, r):
    if r == 0 or r == n: return 1
    if r == 1: return n
    if (n,r) in nCr: return nCr[(n,r)]
    nCr[(n,r)] = cmb(n-1,r) + cmb(n-1,r-1)
    nCr[(n,r)]=nCr[(n,r)]%(10**9+7)
    return nCr[(n,r)]


def f(a,b):
    #print(a,b)
    if b<=0 or a<=0:    
        return 0
    return cmb(a+b-1,b-1)

def acinput():
    return list(map(int, input().split(" ")))

N,K=acinput()

B=K
R=N-K


for i in range(1,K+1):
    _B=B-i
    _R=R-i+1

    PB=f(_B,i)
    PR=f(_R,i+1)

    #print("b r",_B,_R)
    #print(PB,PR)
    print(int(PB*PR)%(10**9+7))



#2000 1000

Fixed code:


import sys
sys.setrecursionlimit(40000)

nCr = {}
def cmb(n, r):
    if r == 0 or r == n: return 1
    if r == 1: return n
    if (n,r) in nCr: return nCr[(n,r)]
    nCr[(n,r)] = cmb(n-1,r) + cmb(n-1,r-1)
    nCr[(n,r)]=nCr[(n,r)]
    return nCr[(n,r)]


def f(a,b):
    #print(a,b)
    if b<0 or a<0:    
        return 0
    return cmb(a+b-1,b-1)

def acinput():
    return list(map(int, input().split(" ")))

N,K=acinput()

B=K
R=N-K


for i in range(1,K+1):
    _B=B-i
    _R=R-i+1

    PR=f(_R,i+1)
    if PR>0:
        PB=f(_B,i)
    else:
        PB=1
    

    #print("b r",_B,_R)
    #print(PB,PR)
    print(int(PB*PR)%(10**9+7))
Buggy code:
def nCr(n, r, mod):
    x, y = 1, 1
    for r_ in range(1, r+1):
        x = x*(n+1-r_)%mod
        y = y*r_%mod
    return x*pow(y, mod-2, mod)%mod

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

Fixed code:
def nCr(n, r, mod):
    x, y = 1, 1
    for r_ in range(1, r+1):
        x = x*(n+1-r_)%mod
        y = y*r_%mod
    return x*pow(y, mod-2, mod)%mod

n, k = map(int, input().split())
mod = 10**9+7
for i in range(1, k+1): print(nCr(n-k+1, i, mod)*nCr(k-1, i-1, mod)%mod)
Buggy code:
#!/usr/bin/env python3
# -*- coding: utf-8 -*-
N, K = list(map(int, input().split()))
max_i = min(K, N - K + 1)

MAX = max_i + 2
PRIME = 10 ** 9 + 7

fac = [0] * MAX
finv = [0] * MAX


def invMod(a, m):
    a %= m
    b, x, y = m, 1, 0
    while b:
        t = a // b
        a -= t * b
        a, b = b, a
        x -= t * y
        x, y = y, x
    return x % m


def binomInit():
    fac[0] = fac[1] = 1
    finv[0] = finv[1] = 1
    for i in range(2, MAX):
        fac[i] = (fac[i - 1] * i) % PRIME
        finv[i] = (finv[i - 1] * invMod(i, PRIME)) % PRIME
        

def binom(n, k):
    if n < 0 or k < 0 or n < k:
        return 0
    return (fac[n] * finv[k] * finv[n - k]) % PRIME


binomInit()
    

for i in range(1, K + 1):
    blue_part = binom(K - 1, i - 1)
    red_part = binom(N - K + 1, i)
    print((blue_part * red_part) % PRIME)


Fixed code:
#!/usr/bin/env python3
# -*- coding: utf-8 -*-
N, K = list(map(int, input().split()))
max_i = min(K, N - K + 1)

MAX = N * 2
PRIME = 10 ** 9 + 7

fac = [0] * MAX
finv = [0] * MAX


def invMod(a, m):
    a %= m
    b, x, y = m, 1, 0
    while b:
        t = a // b
        a -= t * b
        a, b = b, a
        x -= t * y
        x, y = y, x
    return x % m


def binomInit():
    fac[0] = fac[1] = 1
    finv[0] = finv[1] = 1
    for i in range(2, MAX):
        fac[i] = (fac[i - 1] * i) % PRIME
        finv[i] = (finv[i - 1] * invMod(i, PRIME)) % PRIME
        

def binom(n, k):
    if n < 0 or k < 0 or n < k:
        return 0
    return (fac[n] * finv[k] * finv[n - k]) % PRIME


binomInit()
    

for i in range(1, K + 1):
    blue_part = binom(K - 1, i - 1)
    red_part = binom(N - K + 1, i)
    print((blue_part * red_part) % PRIME)
Buggy code:
ef 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())
R = N-K

for i in range(1, K+1):
    if i > R+1:
        print(0)
    else:
        ans = cmb(R+1, i, mod) * cmb(K-1, i-1, mod) % mod
        print(ans)


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())
R = N-K

for i in range(1, K+1):
    if i > R+1:
        print(0)
    else:
        ans = cmb(R+1, i, mod) * cmb(K-1, i-1, mod) % mod
        print(ans)
Buggy code:
import math
def c(n,r):
    return math.factorial(n) // (math.factorial(n - r) * math.factorial(r))
 
n,k=map(int,input().split())
mod=10**9+7
 
for i in range(K):
    if n-k<i:
        print(0)
    else:
        print(c(k-1,i)*c(n-k+1,i+1)%mod)

Fixed code:
import math
def c(n,r):
    return math.factorial(n) // (math.factorial(n - r) * math.factorial(r))
 
n,k=map(int,input().split())
mod=10**9+7
 
for i in range(k):
    if n-k<i:
        print(0)
    else:
        print(c(k-1,i)*c(n-k+1,i+1)%mod)
Buggy code:
N,K=map(int,input().split())
sz=max(N-K+2,K)
c=[ [1 for _ in range(K+1)] for _ in range(sz)]
mod=10**9+7
c[1][1]=1
c[1][0]=1
for n in range(2,sz):
    c[n][0]=1
    c[n][1]=n
    for r in range(2,K+1):
        c[n][r]=(c[n-1][r]+c[n-1][r-1])%mod
#print(c[4][0],c[4][1],c[4][2],c[4][3],c[4][4])
ans=0
for i in range(1,K+1):
    ans=(c[N-K+1][i]*c[K-1][i-1])%mod
    print(ans)



Fixed code:
N,K=map(int,input().split())
sz=max(N-K+2,K)
c=[ [0 for _ in range(K+1)] for _ in range(sz)]
mod=10**9+7
c[1][1]=1
c[1][0]=1
for n in range(2,sz):
    c[n][0]=1
    c[n][1]=n
    for r in range(2,K+1):
        c[n][r]=(c[n-1][r]+c[n-1][r-1])%mod
#print(c[4][0],c[4][1],c[4][2],c[4][3],c[4][4])
c[0][0]=1
ans=0
for i in range(1,K+1):
    ans=0 
    #print(i,N-K+1,i,c[N-K+1][i],c[K-1][i-1])
    if i<=N-K+1:
        ans=(c[N-K+1][i]*c[K-1][i-1])%mod
    print(ans)
Buggy code:

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

mod = 10000000007

R = N-K

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
g1 = [1, 1]
g2 = [1, 1]
inverse = [0, 1]
 
for i in range(2, 2010 + 1):
    g1.append((g1[-1] * i) % mod)
    inverse.append((-inverse[mod % i] * (mod // i)) % mod)
    g2.append((g2[-1] * inverse[-1]) % mod)

for i in range(1,K+1):
    cb_b = cmb(K-1,i-1,mod)
    cb_r = cmb(N-K+i,i,mod)
    ans = cb_b*cb_r % mod
    print(int(ans))

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

mod = 10000000007

R = N-K

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
g1 = [1, 1]
g2 = [1, 1]
inverse = [0, 1]
 
for i in range(2, 2010 + 1):
    g1.append((g1[-1] * i) % mod)
    inverse.append((-inverse[mod % i] * (mod // i)) % mod)
    g2.append((g2[-1] * inverse[-1]) % mod)

for i in range(1,K+1):
    cb_b = cmb(K-1,i-1,mod)
    cb_r = cmb(N-K+1,i,mod)
    ans = cb_b*cb_r % mod
    print(int(ans))
Buggy code:
def cmb(n, r):
  if n < r : return 0
  else : return math.factorial(n) // (math.factorial(n - r) * math.factorial(r))
md=10**9+7
n,k=map(int,input().split())
for i in range(k):
  a=cmb(n-k+1,i)*cmb(k-1,i-1)
  a=a%md
  print(a)

Fixed code:
import math
def cmb(n, r):
  if n < r : return 0
  else : return math.factorial(n) // (math.factorial(n - r) * math.factorial(r))
md=10**9+7
n,k=map(int,input().split())
for i in range(1,k+1):
  a=cmb(n-k+1,i)*cmb(k-1,i-1)
  a=a%md
  print(a)
Buggy code:
lis=list(map(int,input().split()))
mod=(10**9)+7
pascal=[]
print(lis[0]-lis[1]+1,lis[1]-1)
rank=max(lis[0]-lis[1]+1,lis[1]-1)
for i in range(rank):
    pascal.append([])
    for j in range(i+2):
        if j==0 or j==i+1:
            pascal[i].append(1)
        else:
            pascal[i].append(pascal[i-1][j-1]+pascal[i-1][j])
print(pascal)
for i in range(1,1+lis[1]):
    ans=pascal[lis[0]-lis[1]][i]*pascal[lis[1]-2][i-1]%mod
    print(ans)


Fixed code:
lis=list(map(int,input().split()))
mod=(10**9)+7
pascal=[]
#print(lis[0]-lis[1]+1,lis[1]-1)
rank=max(lis[0]-lis[1]+1,lis[1]+1)
for i in range(rank):
    pascal.append([])
    for j in range(i+2):
        if j==0 or j==i+1:
            pascal[i].append(1)
        else:
            pascal[i].append(pascal[i-1][j-1]+pascal[i-1][j])
#print(len(pascal[-1]))
for i in range(1,1+lis[1]):
    if i<=lis[0]-lis[1]+1:
        ans=pascal[lis[0]-lis[1]][i]*pascal[lis[1]-2][i-1]%mod
    else:
        ans=0
    print(ans)
Buggy code:
mport math
all ,blue = map(int,input().split())
red = all - blue

def combinations_count(n, r):
    return math.factorial(n) // (math.factorial(n - r) * math.factorial(r))


for i in range(1,blue+1):
    if (red+1) < i:
        print('0')
    else:
        print((combinations_count(blue-1,i-1)*combinations_count(red+1,i))%(10**9+7))


Fixed code:
import math
all ,blue = map(int,input().split())
red = all - blue

def combinations_count(n, r):
    return math.factorial(n) // (math.factorial(n - r) * math.factorial(r))


for i in range(1,blue+1):
    if (red+1) < i:
        print('0')
    else:
        print((combinations_count(blue-1,i-1)*combinations_count(red+1,i))%(10**9+7))
Buggy code:
N, K = map(int, input().split())
MOD = 10**9 + 7
kai = []
kai.append(1)
for idx in range(1, MOD+5):
	kai.append((kai[idx-1] * idx) % MOD)

#Mod pow
def modpow(ori, po, mod):
	res = 1;
	while(po > 0):
		if(po&1):
			res *= ori;
			res %= mod;
		ori *= ori;
		ori %= mod;
		po >>= 1;
	return res;

def comb(n, k):
	return (kai[n] * modpow(kai[k], MOD-2, MOD) * modpow(kai[n-k], MOD-2, MOD))%MOD


for i in range(K):
	blue=comb(K-1, i)%MOD
	red=comb(N-K+1, i+1)%MOD
	print((blue*red)%MOD)

Fixed code:
N, K = map(int, input().split())
MOD = 10**9 + 7
kai = []
kai.append(1)
for idx in range(1, N+5):
	kai.append((kai[-1] * idx) % MOD)

#Mod pow
def modpow(ori, po):
	res = 1;
	while(po > 0):
		if(po&1):
			res *= ori
			res %= MOD
		ori *= ori
		ori %= MOD
		po >>= 1
	return res

def comb(n, k):
	if(n == 0 and k == 0):
		return 1
	if(n < k or n < 0):
		return 0
	ans = kai[n]
	ans *= modpow(kai[k], MOD-2)
	ans %= MOD
	ans *= modpow(kai[n-k], MOD-2)
	ans %= MOD
	return ans

for i in range(K):
	blue=comb(K-1, i)%MOD
	red=comb(N-K+1, i+1)%MOD
	print((blue*red)%MOD)
Buggy code:
def nCr(n,r):
    com = 1
    for i in range (1,r+1):
        com =com*(n+1-i)//i
    return com
N,K = map(int,input().split())
mod = (10**2)+7
for i in range(1,K+1):
    com1 = nCr(N - K + 1, i)
    com2 = nCr(K-1,i-1)
    print((com1*com2)%mod)

Fixed code:
def nCr(n,r):
    com = 1
    for i in range (1,r+1):
        com =com*(n+1-i)//i
    return com
N,K = map(int,input().split())
mod = (10**9)+7
for i in range(1,K+1):
    com1 = nCr(N - K + 1, i)
    com2 = nCr(K-1,i-1)
    print((com1*com2)%mod)
Buggy code:
N, K = map(int, input().split(' '))
p = 10**9+7


def mod_inv(n, i):

    ans = n**5 % p
    
    while(1):
        n %= p

        if i == 1:
            break
        elif i % 2 == 0:
            i /= 2
            n **= 2
        elif i % 5 == 0:
            i /= 5
            n **= 5
            
    return n * ans % p

    
def nPr(n, r):
    ans = 1
    for i in range(n, n-r, -1):
        ans *= i

    return ans % p


for r in range(1,K+1):
    R = N-K
    fR = R - (r - 1)

    ao = nPr(K-1,r-1) * mod_inv(nPr(r-1,r-1), p-2-5) % p
    aka = nPr(fR+r, fR+r) * mod_inv(nPr(fR,fR), p-2-5) * mod_inv(nPr(r,r), p-2-5) % p

    ans = int(ao * aka % p)
    if ans <= N:
        print(ans)

    else :
        print(0)


Fixed code:
N, K = map(int, input().split(' '))
p = 10**9+7


def mod_inv(n, i):

    ans = n**5 % p
    
    while(1):
        n %= p

        if i == 1:
            break
        elif i % 2 == 0:
            i /= 2
            n **= 2
        elif i % 5 == 0:
            i /= 5
            n **= 5
            
    return n * ans % p

    
def nPr(n, r):
    ans = 1
    for i in range(n, n-r, -1):
        ans *= i

    return ans % p


for r in range(1,K+1):
    R = N-K
    fR = R - (r - 1)

    if fR < 0:
        print(0)
        continue
    ao = nPr(K-1,r-1) * mod_inv(nPr(r-1,r-1), p-2-5) % p
    aka = nPr(fR+r, fR+r) * mod_inv(nPr(fR,fR), p-2-5) * mod_inv(nPr(r,r), p-2-5) % p

    ans = int(ao * aka % p)

    print(ans)