qyliang/CodeNanoFix huggingface dataset:
Buggy code:
#!/usr/bin/env python3
# -*- coding: UTF-8 -*-
def e(): exit()
n="0"+input()
x=len(n)
k=int(input())
l=[int(i) for i in n]

## dp1:top   dp2:under
dp1=[[0]*(k+2) for i in range(x)]
dp2=[[0]*(k+2) for i in range(x)]

dp1[0][0]=1
dp1[0][1]=0
dp2[0][0]=0
dp2[0][1]=0

for i in range(1,x):
    for j in range(k+1):
        if j==0:
            dp1[i][0]=0
            dp2[i][0]=1
        else:
            dp1[i][j]=dp1[i-1][j]
            if i==j:
                dp1[i][j]=1
            #    dp2[i][j]+=max(0,l[i-1]-1)
            #dp2[i][j]=dp2[i-1][j-1]*9+max(0,dp1[i-1][j]*l[i-1]-1)+dp2[i-1][j]
            dp2[i][j]=(dp2[i-1][j-1]*9)+(dp2[i-1][j])+(dp1[i-1][j-1]*max(0,l[i]-1))
#print(dp1)
#print(dp2)
print(dp1[-1][-2]+dp2[-1][-2])


Fixed code:
#!/usr/bin/env python3
# -*- coding: UTF-8 -*-
def e(): exit()
n="0"+input()
x=len(n)
k=int(input())
l=[int(i) for i in n]

## dp1:top   dp2:under
dp1=[[0]*(k+2) for i in range(x)]
dp2=[[0]*(k+2) for i in range(x)]

dp1[0][0]=1
dp1[0][1]=0
dp2[0][0]=0
dp2[0][1]=0

cnt=0
for i in range(1,x):
    if l[i]>0:
        cnt+=1
    if cnt<=k:
        dp1[i][cnt]=1
for i in range(1,x):
    for j in range(k+1):
        if j==0:
            dp2[i][0]=1
        else:
            dp2[i][j]=(dp2[i-1][j-1]*9)+(dp2[i-1][j])+(dp1[i-1][j-1]*max(0,l[i]-1))+([dp1[i-1][j],0][l[i]==0])
print(dp1[-1][-2]+dp2[-1][-2])
Buggy code:
n="0"+input()
x=len(n)
k=int(input())
l=[int(i) for i in n]

## dp1:top   dp2:under
dp1=[[0]*(k+2) for i in range(x)]
dp2=[[0]*(k+2) for i in range(x)]

dp1[0][0]=1
dp1[0][1]=0
dp2[0][0]=0
dp2[0][1]=0

cnt=0
for i in range(1,x):
    if l[i]>0:
        cnt+=1
    if cnt<=k:
        dp1[i][cnt]=1
for i in range(1,x):
    for j in range(k+1):
        if j==0:
            dp2[i][0]=1
        else:
            dp2[i][j]=(dp2[i-1][j-1]*9)+(dp2[i-1][j])+(dp1[i-1][j-1]*max(0,l[i]-1))+(dp1[i-1][j])
#print(dp1)
#print(dp2)
print(dp1[-1][-2]+dp2[-1][-2])


Fixed code:
n="0"+input()
x=len(n)
k=int(input())
l=[int(i) for i in n]

## dp1:top   dp2:under
dp1=[[0]*(k+2) for i in range(x)]
dp2=[[0]*(k+2) for i in range(x)]

dp1[0][0]=1
dp1[0][1]=0
dp2[0][0]=0
dp2[0][1]=0

cnt=0
for i in range(1,x):
    if l[i]>0:
        cnt+=1
    if cnt<=k:
        dp1[i][cnt]=1
for i in range(1,x):
    for j in range(k+1):
        if j==0:
            dp2[i][0]=1
        else:
            if l[i]==0: dp2[i][j]=(dp2[i-1][j-1]*9)+(dp2[i-1][j])+(dp1[i-1][j-1]*max(0,l[i]-1))
            else: dp2[i][j]=(dp2[i-1][j-1]*9)+(dp2[i-1][j])+(dp1[i-1][j-1]*max(0,l[i]-1))+(dp1[i-1][j])
print(dp1[-1][-2]+dp2[-1][-2])
Buggy code:
N=input()
K=int(input())
l=len(N)
dp=[[0]*(l+1) for i in range(K+1)]
dp[0][0]=1
x=0
for i,n in enumerate(N):
    n=int(n)
    dp[0][i+1]=1
    if n==0:
        for j in range(1,K+1):
            dp[j][i+1]=dp[j][i]+dp[j-1][i]*9
    else:
        for j in range(1,K+1):
        dp[j][i+1]=dp[j][i]+dp[j-1][i]*9 if i-j>-1 else 0 if i-j<-1 else n if i==0 else (dp[j-1][i]-1)*9+n
print(dp[-1][-1])

Fixed code:
N=input()
K=int(input())
l=len(N)
dp=[[0]+[1]*l]+[[0]*(l+1) for i in range(K)]
dp2=[[1]+[0]*l]+[[0]*(l+1) for i in range(K)]
for i,n in enumerate(N):
    n=int(n)
    for j in range(K):
        dp[j+1][i+1]=dp[j][i]*9+dp[j+1][i]+(dp2[j][i]*(n-1)+dp2[j+1][i] if n>0 else 0)
        dp2[j+1][i+1]=dp2[j][i] if n>0 else dp2[j+1][i]
print(dp[-1][-1]+dp2[-1][-1])
Buggy code:
n = input()
k = int(input())

if len(n) <= k:
    cnt = 0
    for i in range(1,int(n)+1):
        if len(str(i)) - str(i).count('0') == k:
            cnt += 1
    print(cnt)
    exit()

cnt = 0
l = len(n)
def combi(n,k):
    ans = 1
    if k == 0:
        return ans
    for i in range(k):
        ans = ans * (n-i) // (i+1)
    return ans
flag = 0
for i in range(l):
    if flag > k:
        break
    if n[i] == '0':
        if i == l-1:
            cnt += 1
        continue
    flag += 1
    cnt += int(((int(n[i])-1)*9**(k-flag))*combi(l-i-1,k-flag) + 9**(k-flag+1)*combi(l-i-1,k-flag+1))
    print(cnt)

print(cnt)

Fixed code:
n = input()
k = int(input())

if len(n) <= k:
    cnt = 0
    for i in range(1,int(n)+1):
        if len(str(i)) - str(i).count('0') == k:
            cnt += 1
    print(cnt)
    exit()

cnt = 0
l = len(n)
def combi(n,k):
    ans = 1
    if k == 0:
        return ans
    for i in range(k):
        ans = ans * (n-i) // (i+1)
    return ans
flag = 0
for i in range(l):
    if flag > k:
        break
    if n[i] == '0':
        if i == l-1 and k == flag:
            cnt += 1
        continue
    flag += 1
    cnt += int(((int(n[i])-1)*9**(k-flag))*combi(l-i-1,k-flag) + 9**(k-flag+1)*combi(l-i-1,k-flag+1))

print(cnt)
Buggy code:
n = input()
k = int(input())
l = len(n)

dp = [[[0 for a in range(k+1)] for b in range(2)] for c in range(l+5)]

dp[0][0][0] = 1
#print(dp)

for a in range(l) :
    for b in range(2) :
        for c in range(k+1) :
            for d in range(10) :
                na = a
                nb = b
                nc = c
                if b == 0 :
                    if d > int(n[a]) :
                        continue
                    if d < int(n[a]) :
                        nb = 1
                if c == k and d > 0 :
                    continue
                if d != 0 :
                    nc += 1
                #print(a,b,c,na,nb,nc)
                dp[na+1][nb][nc] += dp[a][b][c]


print(dp[l][0][k])
print(dp[l][1][k])
print(dp[l][0][k]+dp[l][1][k])


Fixed code:
n = input()
k = int(input())
l = len(n)

dp = [[[0 for a in range(k+1)] for b in range(2)] for c in range(l+5)]

dp[0][0][0] = 1
#print(dp)

for a in range(l) :
    for b in range(2) :
        for c in range(k+1) :
            for d in range(10) :
                na = a
                nb = b
                nc = c
                if b == 0 :
                    if d > int(n[a]) :
                        continue
                    if d < int(n[a]) :
                        nb = 1
                if c == k and d > 0 :
                    continue
                if d != 0 :
                    nc += 1
                #print(a,b,c,na,nb,nc)
                dp[na+1][nb][nc] += dp[a][b][c]

#print(dp[l][0][k])
#print(dp[l][1][k])
print(dp[l][0][k]+dp[l][1][k])
Buggy code:
s=input();n=len(s)
def f(i,t,k):
 if k>n-i:return 0
 a=max(t,int(s[i]));i+=1;z=f(i,t,k)
 if a:
  if k==1:z=a+(n-i)*9
  else:z=f(i,9,k)+(a-1)*f(i,9,k-1)+f(i,t,k-1)
 return z
print(f(0,0,int(input())))

Fixed code:
s=input()*2;n=len(s)/2
def f(i,t,k):
 if k>n-i:return 0
 a=max(t,int(s[i]));i+=1;
 if t:return f(i,9,k)+a*f(i,9,k-1)if k else 1
 else:return(f(i,9,k)+(a-1)*f(i,9,k-1)+f(i,0,k-1)if k else 1)if a else f(i,0,k)
print(f(0,0,int(input())))
Buggy code:
s=input();n=len(s)
def f(i,t,k):
 if k>n-i:return 0
 if k==0:return 1
 a=max(t,int(s[i]));i+=1;z=f(i,t,k)
 if a:z=f(i,9,k)+(a-1)*f(i,9,k-1)+f(i,t,k-1)
 return z
print(f(0,0,int(input())))

Fixed code:
s=input();n=len(s)
def f(i,t,k):
 if k>n-i:return 0
 a=max(t,int(s[i]));i+=1;
 return(f(i,9,k)+(a-1)*f(i,9,k-1)+f(i,t,k-1)if k-1 else a+(n-i)*9)if a else f(i,t,k)
print(f(0,0,int(input())))
Buggy code:
def f(s,t,k):
 n=len(s)
 a=max(t,int(s[0]))
z=0
 if k>n:z=0
 elif a==0:z=f(s[1:],t,k)
 elif k==1:z=a+(n-1)*9
 else:
  if k-1<=n:z+=f(s[1:],9,k)
  z+=(a-1)*f(s[1:],9,k-1)
  z+=f(s[1:],t,k-1)
 return z
print(f(input(),0,int(input())))


Fixed code:
def f(s, t, k):
 n = len(s)
 if k > n: return 0
 a = max(t, int(s[0]))
 if a == 0: return f(s[1:], t, k)
 if k == 1: return a + (n - 1) * 9
 z = 0
 if k - 1 <= n: z += f(s[1:], 9, k)
 z += (a - 1) * f(s[1:], 9, k - 1)
 z += f(s[1:], t, k - 1)
 return z

s = input()
k = int(input())
print(f(s, 0, k))
Buggy code:
N = int(input())
K = int(input())

L = list(map(int, list(str(N))))
M = len(L)
DP = [[[0] * 2 for _ in range(K + 1)] for _ in range(M)]

DP[0][1] = [L[0] - 1, 1]
DP[0][0][0] = 1

for i in range(1, M):
  DP[i][0][0] = DP[i - 1][0][0]
  for j in range(1, K + 1):
    if L[i] != 0:
      DP[i][j][0] += DP[i - 1][j][1]
      DP[i][j][1] = DP[i - 1][j - 1][1]
      DP[i][j][0] = DP[i - 1][j][0]
      DP[i][j][0] += DP[i - 1][j - 1][0] * 9
      DP[i][j][0] += DP[i - 1][j - 1][1] * max(0, L[i] - 1)
    else:
      DP[i][j][0] = DP[i - 1][j][0]
      DP[i][j][0] += DP[i - 1][j - 1][0] * 9
      DP[i][j][1] = DP[i - 1][j][1]

ans = DP[-1][-1][0] + DP[-1][-1][1]
ans = max(0, ans)
print(ans)


Fixed code:
N = int(input())
K = int(input())

L = list(map(int, list(str(N))))
M = len(L)
DP = [[[0] * 2 for _ in range(K + 1)] for _ in range(M)]

DP[0][1] = [L[0] - 1, 1]
DP[0][0][0] = 1

for i in range(1, M):
  DP[i][0][0] = DP[i - 1][0][0]
  for j in range(1, K + 1):
    if L[i] != 0:
      DP[i][j][0] = DP[i - 1][j][0]
      DP[i][j][0] += DP[i - 1][j][1]
      DP[i][j][0] += DP[i - 1][j - 1][0] * 9
      DP[i][j][0] += DP[i - 1][j - 1][1] * (L[i] - 1)
      DP[i][j][1] = DP[i - 1][j - 1][1]
    else:
      DP[i][j][0] = DP[i - 1][j][0]
      DP[i][j][0] += DP[i - 1][j - 1][0] * 9
      DP[i][j][1] = DP[i - 1][j][1]

ans = DP[-1][-1][0] + DP[-1][-1][1]
ans = max(0, ans)
print(ans)
Buggy code:
import sys
import math

input = sys.stdin.readline
n = int(input())
k = int(input())
t = n
m = 0
while t:
    m += 1
    t //= 10

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

def dfs(i, mt, kt):
    a = i // 10 ** mt
    b = n // 10 ** mt
    if kt < 0:
        return 0
    if mt < kt:
        return 0
    if a < b:
        if mt > 0:
            return 9 ** kt * comb(mt, kt)
    elif a > b:
        return 0
    if i == n and kt == 0:
        return 1
    elif i > n:
        return 0
    ret = 0
    for j in range(10):
        f = 0
        if j != 0:
            f = 1
        ret += dfs(i+j*10**(mt-1), mt-1, kt-f)
    return ret

ans = dfs(0, m, k)
print(ans)


Fixed code:
import sys
import math

input = sys.stdin.readline
n = int(input())
k = int(input())
t = n
m = 0
while t:
    m += 1
    t //= 10

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

ans = 9 ** k * comb(m-1, k)
tk = k

def dfs(i, mt, kt):
    a = i // 10 ** mt
    b = n // 10 ** mt
    if kt < 0:
        return 0
    if mt < kt:
        return 0
    if a < b:
        if mt > 0:
            return 9 ** kt * comb(mt, kt)
        else:
            return 1
    elif a > b:
        return 0
    if i == n and kt == 0:
        return 1
    elif i > n:
        return 0
    ret = 0
    for j in range(10):
        f = 0
        if j != 0:
            f = 1
        ret += dfs(i+j*10**(mt-1), mt-1, kt-f)
    return ret

t_ans = 0
for i in range(1, n // (10 ** (m-1) )+1):
    ti = i * 10 ** (m-1)
    t_ans += dfs(ti, m-1, k-1)

print(int(ans+t_ans))
Buggy code:
def comb(n,k):
  if n == 0:
    return 0
  if n == k:
    return 1
  
  num = 1
  for i in range(n-k+1,n+1):
    num *= i
    
  for i in range(2,k+1):
    num //= i
    

  return num
    
def syou(n,k):
  if k == 0:
    return 1
  
  if len(n) < k:
    return 0
  
  if len(n) == 1:
    return int(n)
  
  if n[0] == '0':
    return syou(n[1:l], k-1)
  
  l = len(n)
  ans = comb(l-1, k) * (9**k)
  
  top = int(n[0])
  ans += comb(l-1, k-1) * (top-1) * (9**(k-1))
  
  ans += syou(n[1:l], k-1)
  print('tmp:', n,k,ans)
  return ans


n = input()
k = int(input())

print(syou(n, k))

Fixed code:
def comb(n,k):
  if n == 0:
    return 0
  if n == k:
    return 1
  
  num = 1
  for i in range(n-k+1,n+1):
    num *= i
    
  for i in range(2,k+1):
    num //= i
    

  return num
    
def syou(n,k):
  if k == 0:
    return 1
  
  if len(n) < k:
    return 0
  
  if len(n) == 1:
    return int(n)
  
  l = len(n)
  if n[0] == '0':
    return syou(n[1:l], k)
  
  ans = comb(l-1, k) * (9**k)
  
  top = int(n[0])
  ans += comb(l-1, k-1) * (top-1) * (9**(k-1))
  
  ans += syou(n[1:l], k-1)
  return ans


n = input()
k = int(input())

print(syou(n, k))
Buggy code:
N=input()
k=int(input())
ln=len(N)
DP=[[[0]*2 for _ in range(k+1)] for _ in range(len(N)+1)]
DP[0][0][0]=1
for i in range(1,len(N)+1):
  DP[i][0][1]=1
for i in range(len(N)):
  ni=int(N[i])
  for j in range(1,k+1):
    DP[i+1][j][1]=DP[i][j][1]+max(0,ni-1)*DP[i][j-1][0]+9*DP[i][j-1][1]+DP[i][j][0]
    if ni==0:
      DP[i+1][j][0]=DP[i][j][0]
    else:
      DP[i+1][j][0]=DP[i][j-1][0]
print(DP[ln][k][0]+DP[ln][k][1])



Fixed code:
N=input()
k=int(input())
ln=len(N)
DP=[[[0]*2 for _ in range(k+1)] for _ in range(len(N)+1)]
DP[0][0][0]=1
for i in range(1,len(N)+1):
  DP[i][0][1]=1
for i in range(len(N)):
  ni=int(N[i])
  for j in range(1,k+1):
    DP[i+1][j][1]=DP[i][j][1]+max(0,ni-1)*DP[i][j-1][0]+9*DP[i][j-1][1]
    if ni==0:
      DP[i+1][j][0]=DP[i][j][0]
    else:
      DP[i+1][j][0]=DP[i][j-1][0]
      DP[i+1][j][1]+=DP[i][j][0]
print(DP[ln][k][0]+DP[ln][k][1])
Buggy code:
N = input()
K = int(input())

a = 1
b = [0] * (K + 1)
b[0] = 1
b[1] = int(N[0]) - 1

for c in N[1:]:
    t = int(c)
    for i in range(K - 1, -1, -1):
        b[i + 1] += b[i] * 9
    if t != 0:
        b[a + 1] += t - 1
        b[a] += 1
        a += 1

if a == K:
    print(b[K] + 1)
else:
    print(b[K])


Fixed code:
N = input()
K = int(input())

a = [0] * (K + 1)
b = [0] * (K + 1)

t = int(N[0])

a = 1
b[0] = 1
b[1] = t - 1

for c in N[1:]:
    t = int(c)
    for i in range(K - 1, -1, -1):
        b[i + 1] += b[i] * 9
    if t != 0:
        if t != 1 and a + 1 <= K:
            b[a + 1] += t - 1
        if a <= K:
            b[a] += 1
        a += 1

if a == K:
    print(b[K] + 1)
else:
    print(b[K])
Buggy code:
N = int(input())
K = int(input())

res = 0
if K == 1:
    for i in range(1,10):
        for j in range(len(str(N))):
            if i*10**j <= N:
                res += 1
if K == 2:
    for i1 in range(1,10):
        for i2 in range(1,10):
            for j1 in range(len(str(N))-1):
                for j2 in range(len(str(N))-1-j1):
                    if i1*10**(j1+j2+1)+i2*10**j2 <= N:
                        res += 1

if K == 3:
    for i1 in range(1,10):
        for i2 in range(1,10):
            for i3 in range(1,10):
                for j1 in range(len(str(N))-2):
                    for j2 in range(len(str(N))-2-j1):
                        for j3 in range(len(str(N))-2-j1-j2):
                            if i1*10**(j1+j2+j3+2)+i2*10**(j2+j3+1)+i3*10**+j3 <= N:
                                res += 1

print(res)


Fixed code:
N = int(input())
K = int(input())

res = 0
if K == 1:
    for i in range(1,10):
        for j in range(len(str(N))):
            if i*10**j <= N:
                res += 1
if K == 2:
    for i1 in range(1,10):
        for i2 in range(1,10):
            for j1 in range(len(str(N))-1):
                for j2 in range(len(str(N))-1-j1):
                    if i1*10**(j1+j2+1)+i2*10**j2 <= N:
                        res += 1

if K == 3:
    for j1 in range(len(str(N))-2-1):
        for j2 in range(len(str(N))-2-1-j1):
            for j3 in range(len(str(N))-2-1-j1-j2):
                res += 1
    res = res * (9**3)
    
    for j1 in range(len(str(N))-2):
        for j2 in range(len(str(N))-2-j1):
            j3 = len(str(N))-2-j1-j2-1
            for i1 in range(1,10):
                for i2 in range(1,10):
                    for i3 in range(9,0,-1):
                        if i1*10**(j1+j2+j3+2)+i2*10**(j2+j3+1)+i3*10**+j3 <= N:
                            res += i3
                            break

print(res)
Buggy code:
from itertools import combinations, product
from math import factorial

def nCr(n, r):
  return int(factorial(n) / factorial(n - r) / factorial(r))

n = int(input())
k = int(input())
size = len(str(n))
count = 0 if k > size - 1 else (nCr(size - 1, k) * (9 ** k))
if k == 1:
  count += sum(i * (10 ** (size - 1)) <= n for i in range(1, 10))
else:
  for digits in combinations(range(size - 1), k - 1):
    digits = [size - 1] + list(digits)
    count += sum(
      sum(num * (10 ** digit) for num, digit in zip(nums, digits)) <= n
      for nums in product(range(1, 10), repeat=k)
    )
print(count)


Fixed code:
from itertools import combinations, product
from math import factorial

def nCr(n, r):
  return int(factorial(n) / factorial(n - r) / factorial(r))

n = int(input())
k = int(input())
size = len(str(n))
count = 0 if k > size - 1 else nCr(size - 1, k) * (9 ** k)
if k == 1:
  count += sum(i * (10 ** (size - 1)) <= n for i in range(1, 10))
else:
  first = int(str(n)[0])
  count += 0 if k > size else (first - 1) * nCr(size - 1, k - 1) * (9 ** (k - 1))
  for digits in combinations(range(size - 1), k - 1):
    count += sum(
      sum(num * (10 ** digit) for num, digit in zip(nums, digits)) <= n % (10 ** (size - 1))
      for nums in product(range(1, 10), repeat = k - 1)
    )
print(count)
Buggy code:

import itertools
import sys
import numpy as np
from collections import deque
from itertools import combinations
sys.setrecursionlimit(10**9)


def solve(N,K):
    # print(N,K)
    if N <= 10:
        if K == 0:
            return 1
        elif K == 1:
            return N
        else:
            return 0

    if K < 0 or len(str(N)) < K:
        return 0

    ans = 0
    m, last = divmod(N,10)
    ans += solve(m,K-1) * last + solve(m-1,K-1) * (9 - last) + solve(m,K)

    return ans


def main():
    N,K = map(int,[input(),input()])
    
    print(solve(N,K))

if __name__ == "__main__":
  main()


Fixed code:
import itertools
import sys
import numpy as np
from collections import deque
from itertools import combinations
from functools import lru_cache
sys.setrecursionlimit(10**9)

@lru_cache(None)
def solve(N,K):
    # print(N,K)
    if N <= 10:
        if K == 0:
            return 1
        elif K == 1:
            return N
        else:
            return 0

    if K < 0 or len(str(N)) < K:
        return 0

    ans = 0
    m, last = divmod(N,10)
    ans += solve(m,K-1) * last + solve(m-1,K-1) * (9 - last) + solve(m,K)

    return ans


def main():
    N,K = map(int,[input(),input()])

    print(solve(N,K))

if __name__ == "__main__":
  main()
Buggy code:
N = int(input())
K = int(input())
A = 0
if N <= 100000:
    for i in range(1,N+1):
        c = str(i)
        d = len(c) - c.count('0')
#    print(i,c,d,len(c),c.count('0'))
        if d == K:
            A += 1
else:
    keta = len(str(N))
    if K ==1:
        A = 9*(keta-1)
    if K ==2:
        A = 9*9*(keta-1)*(keta-2)//2
        print(A)
    if K ==3:
        A = 9*9*9*(keta-1)*(keta-2)*(keta-3)//6
    nc = 1
    print(N,K,keta,A)
    while nc <= 3 and keta >=1:
        # abcd... -> 1000000 - a0000000
        T = N//(10**(keta-1))%10
        print(T,nc)
        if T == 0:
            keta -=1
        else:
            if (nc == 1 and K==1) or (nc==2 and K==2) or (nc==3 and K==3):
              A = A + (T)
            if ((nc == 1 and K ==2) or (nc ==2 and K==3)):
                A = A + int((T-1)*9*(keta-1))
            if (nc==2 and K==2):
                A = A + 9*(keta-1)
            if (nc==1 and K ==3):
                A = A + int((T-1)*9*9*(keta-1)*(keta-2)/2)
            if (nc==2 and K==3):
                A = A + 9*9*(keta-1)*(keta-2)/2
            nc +=1
            keta -=1
        print(A)
        
print(A)
    

Fixed code:
N = int(input())
K = int(input())
A = 0
if N <= 100000:
    for i in range(1,N+1):
        c = str(i)
        d = len(c) - c.count('0')
#    print(i,c,d,len(c),c.count('0'))
        if d == K:
            A += 1
else:
    keta = len(str(N))
    if K ==1:
        A = 9*(keta-1)
    if K ==2:
        A = 9*9*(keta-1)*(keta-2)//2
    if K ==3:
        A = 9*9*9*(keta-1)*(keta-2)*(keta-3)//6
    nc = 1
#    print(N,K,keta,A)
    while nc <= 3 and keta >=1:
        # abcd... -> 1000000 - a0000000
        T = N//(10**(keta-1))%10
#        print(T,nc)
        if T == 0:
            keta -=1
        else:
            if (nc == 1 and K==1) or (nc==2 and K==2) or (nc==3 and K==3):
              A = A + (T)
            if ((nc == 1 and K ==2) or (nc ==2 and K==3)):
                A = A + int((T-1)*9*(keta-1))
            if (nc==2 and K==2) or (nc==3 and K==3):
                A = A + 9*(keta-1)
            if (nc==1 and K ==3):
                A = A + int((T-1)*9*9*(keta-1)*(keta-2)/2)
            if (nc==2 and K==3):
                A = A + int(9*9*(keta-1)*(keta-2)/2)
            nc +=1
            keta -=1
#        print(A)
        
print(A)
Buggy code:
import math
N=list(input())
K=int(input())
ans=0
not_zero=0
def cmb(n, r):
  if n-r>=1 and n>=1 and r>=1: 
    return math.factorial(n) // (math.factorial(n - r) * math.factorial(r))
  elif n==r==1 or n==r==0:
    return 1
  else:
    return 0
for i in range(len(N)):
  if N[i]!="0":
    ans+=cmb(len(N[i+1:]),K-not_zero) * (9**(K-not_zero))
    ans+=cmb(len(N[i+1:]), K-not_zero-1) *(int(N[i])-1)* (9**(K-not_zero-1))
    not_zero+=1
    if not_zero==K:
      ans+=1
print(ans)
  

Fixed code:
import math
N=list(input())
K=int(input())
ans=0
not_zero=0
def cmb(n, r):
  if n-r>=1 and n>=1 and r>=1: 
    return math.factorial(n) // (math.factorial(n - r) * math.factorial(r))
  elif n==r or n==r:
    return 1
  elif r==0:
    return 1
  else:
    return 0
for i in range(len(N)):
  if N[i]!="0":
    ans+=cmb(len(N[i+1:]),K-not_zero) * (9**(K-not_zero))
    ans+=cmb(len(N[i+1:]), K-not_zero-1) *(int(N[i])-1)* (9**(K-not_zero-1))
    not_zero+=1
    #print(ans)
    if not_zero==K:
      ans+=1
      break
print(ans)
Buggy code:
import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
sys.setrecursionlimit(10 ** 7)

from functools import lru_cache

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


@lru_cache(None)
def check(n, k):
    a, b = divmod(n, 10)
    cnt = 0
    if k >= 1:
        cnt += check(a, k - 1) * b
        cnt += check(a - 1, k - 1) * (9 - b)
    cnt += check(a, b)
    return cnt


if n < 10:
    if k == 1:
        print(n)
    else:
        print(0)
else:
    print(check(n, k))


Fixed code:
import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
sys.setrecursionlimit(10 ** 7)

from functools import lru_cache

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


@lru_cache()
def check(n, k):
    if n < 10:
        if k == 0:
            return 1
        if k == 1:
            return n
        return 0
    a, b = divmod(n, 10)
    cnt = 0
    if k >= 1:
        cnt += check(a, k - 1) * b
        cnt += check(a - 1, k - 1) * (9 - b)
    cnt += check(a, k)
    return cnt


print(check(n, k))
Buggy code:
s=input()
m=int(input())
n=len(s)
if n==1:
  print([0,int(s)][k==1])
  exit()
dp=[[[0]*2 for _ in range(m+1)] for _ in range(n)]
dp[0][0][1]=1
dp[0][1][1]=int(s[0])-1
dp[0][1][0]=1
for i in range(1,n):
  for j in range(m+1):
    if j:
      dp[i][j][1]+=9*dp[i-1][j-1][1]
      if s[i]!='0':
        dp[i][j][0]+=dp[i-1][j-1][0]
        dp[i][j][1]+=(int(s[i])-1)*dp[i-1][j-1][0]
    if s[i]=='0':dp[i][j][0]+=dp[i-1][j][0]
    dp[i][j][1]+=dp[i-1][j][1]+dp[i-1][j][0]
print(sum(dp[-1][-1]))

Fixed code:
s=input()
m=int(input())
n=len(s)
if n==1:
  print([0,int(s)][m==1])
  exit()
dp=[[[0]*2 for _ in range(m+1)] for _ in range(n)]
dp[0][0][1]=1
dp[0][1][1]=int(s[0])-1
dp[0][1][0]=1
for i in range(1,n):
  for j in range(m+1):
    if j:
      dp[i][j][1]+=9*dp[i-1][j-1][1]
      if s[i]!='0':
        dp[i][j][0]+=dp[i-1][j-1][0]
        dp[i][j][1]+=(int(s[i])-1)*dp[i-1][j-1][0]
    if s[i]=='0':dp[i][j][0]+=dp[i-1][j][0]
    dp[i][j][1]+=dp[i-1][j][1]
    if s[i]!='0':dp[i][j][1]+=dp[i-1][j][0]
print(sum(dp[-1][-1]))