qyliang/CodeNanoFix huggingface dataset:
Buggy code:
n = str(input())
k = int(input())
dp = [[[0] * (k+1) for i in range(2)] for j in range(len(n)+1)]
dp[0][0][0] = 1
for i in range(len(n)):
    for j in range(k+1):
        if n[i] == "0":
            dp[i+1][0][j] = dp[i][0][j]
            dp[i+1][1][j] = dp[i][1][j]
            if j > 0:
                dp[i+1][1][j] += dp[i][1][j-1]*9
        else:
            dp[i+1][1][j] = dp[i][0][j] + dp[i][1][j]
            if j > 0:
                dp[i+1][0][j] = dp[i][0][j-1]
                dp[i+1][1][j] += dp[i][1][j-1] * (int(n[i])-1) + dp[i][1][j-1] * 9
  # print(dp)
print(dp[-1][0][k] + dp[-1][1][k])

Fixed code:
n = str(input())
k = int(input())
dp = [[[0] * (k+1) for i in range(2)] for j in range(len(n)+1)]
dp[0][0][0] = 1
for i in range(len(n)):
    for j in range(k+1):
        if n[i] == "0":
            dp[i+1][0][j] = dp[i][0][j]
            dp[i+1][1][j] = dp[i][1][j]
            if j > 0:
                dp[i+1][1][j] += dp[i][1][j-1]*9
        else:
            dp[i+1][1][j] = dp[i][0][j] + dp[i][1][j]
            if j > 0:
                dp[i+1][0][j] = dp[i][0][j-1]
                dp[i+1][1][j] += dp[i][0][j-1] * (int(n[i])-1) + dp[i][1][j-1] * 9
  # print(dp)
print(dp[-1][0][k] + dp[-1][1][k])
Buggy code:
N_str = str(input())
K = int(input())

digit_length = len(N_str)
topmost_digit = int(N_str[0])

C_table = [[0, 0, 0] for _ in range(digit_length)]


def C(all, pick):
    if C_table[all][pick] == 0:
        count_child = 1
        count_parent = 1
        for i in range(pick):
            count_child *= all - i
            count_parent *= i + 1
        C_table[all][pick] = count_child // count_parent
    return C_table[all][pick]


def get_count(top_digit, digit_count, needed_nonzero):
    if needed_nonzero <= 0 or needed_nonzero > digit_count:
        return 0

    if digit_count == 1:
        if needed_nonzero == 1:
            return top_digit
        else:
            return 0

    if top_digit == 0:
        return get_count(int(N_str[digit_length - digit_count + 1]) ,digit_count - 1, needed_nonzero)

    if top_digit >= 1:
        count = C(digit_count - 1, needed_nonzero) * (9 ** needed_nonzero)
        if needed_nonzero == 1:
            count += 1

    if top_digit > 1:
        count += C(digit_count - 1, needed_nonzero - 1) * (9 ** (needed_nonzero - 1)) * (top_digit - 1)

    return count + get_count(int(N_str[digit_length - digit_count + 1]) ,digit_count - 1, needed_nonzero - 1)


print(get_count(topmost_digit, digit_length, K))

Fixed code:
N_str = str(input())
K = int(input())

digit_length = len(N_str)
topmost_digit = int(N_str[0])

C_table = [[0, 0, 0, 0] for _ in range(digit_length+10)]


def C(all, pick):
    if C_table[all][pick] == 0:
        count_child = 1
        count_parent = 1
        for i in range(pick):
            count_child *= all - i
            count_parent *= i + 1
        C_table[all][pick] = count_child // count_parent
    return C_table[all][pick]


def get_count(top_digit, digit_count, needed_nonzero):
    if needed_nonzero <= 0 or needed_nonzero > digit_count:
        return 0

    if digit_count == 1:
        if needed_nonzero == 1:
            return top_digit
        else:
            return 0

    if top_digit == 0:
        return get_count(int(N_str[digit_length - digit_count + 1]) ,digit_count - 1, needed_nonzero)

    if top_digit >= 1:
        count = C(digit_count - 1, needed_nonzero) * (9 ** needed_nonzero)
        if needed_nonzero == 1:
            count += 1

    if top_digit > 1:
        count += C(digit_count - 1, needed_nonzero - 1) * (9 ** (needed_nonzero - 1)) * (top_digit - 1)

    return count + get_count(int(N_str[digit_length - digit_count + 1]) ,digit_count - 1, needed_nonzero - 1)


print(get_count(topmost_digit, digit_length, K))
Buggy code:
n=input()
k=int(input())
m=len(n)

DP=[[[0]*(k+1) for _ in range(2)] for _ in range(m+1)]
DP[0][0][0]=1

for i in range(1,m+1):
    for flag in range(2):
        num=9 if flag else int(n[i-1])
        for j in range(k+1):
            for k in range(num+1):
                if k!=0:
                    DP[i][flag or k<=num][j] +=DP[i-1][flag][j-1]
                else:
                    DP[i][flag or k<=num][j] +=DP[i-1][flag][j]
print(DP[-1][0][k]+DP[-1][1][k])

Fixed code:
n=input()
K=int(input())
m=len(n)

DP=[[[0]*(K+2) for _ in range(2)] for _ in range(m+1)]
DP[0][0][0]=1

for i in range(1,m+1):
    for flag in range(2):
        num=9 if flag else int(n[i-1])
        for j in range(K+1):
            for k in range(num+1):
                if k==0:
                    DP[i][flag or k<num][j] +=DP[i-1][flag][j]
                else:
                    DP[i][flag or k<num][j+1] +=DP[i-1][flag][j]

print(DP[-1][0][K]+DP[-1][1][K])
Buggy code:
#!python3

from math import factorial

iim = lambda: map(int, input().rstrip().split())

def cmb(a, b):
    c = a - b
    if c < b:
        b = c
    if b == 0: return 1

    ans = 1
    for i in range(b):
        ans *= a - i

    return ans // factorial(b)

def cnt(N, K):
    if K == 0:
        return 1

    n10 = 10 ** (K-1)
    if N < n10:
        return 0

    n10 *= 10
    k1 = K - 1
    n9 = 9 ** K
    n91 = 9 ** k1

    ans = 0
    a = n10
    i = 0
    while a < N:
        a *= 10; i += 1
    a //= 10; i -= 1
    if i > 0:
        ans = cmb(i+K, K) * n9
        #print(f"{i+K}C{K}", ans)

    n, b = divmod(N, a)
    if n > 1:
        ans += (n - 1) * cnt(a-1, K - 1)
    ans += cnt(b, K - 1)


    return ans

def resolve():
    N = int(input())
    K = int(input())

    print(cnt(N, K))

if __name__ == "__main__":
    resolve()


Fixed code:
#!python3

from math import factorial

iim = lambda: map(int, input().rstrip().split())

def cmb(a, b):
    c = a - b
    if c < b:
        b = c
    if b == 0: return 1

    ans = 1
    for i in range(b):
        ans *= a - i

    return ans // factorial(b)

def cnt(N, K):
    if K == 0:
        return 1

    n10 = 10 ** (K-1)
    if N < n10:
        return 0

    n10 *= 10
    n9 = 9 ** K

    ans = 0
    a = n10
    i = 0
    while a < N:
        a *= 10; i += 1
    a //= 10; i -= 1
    if i >= 0:
        ans = cmb(i+K, K) * n9
        #print(f"{i+K}C{K}", ans)

    n, b = divmod(N, a)
    if n > 1:
        ans += (n - 1) * cnt(a-1, K - 1)
    ans += cnt(b, K - 1)


    return ans

def resolve():
    N = int(input())
    K = int(input())

    print(cnt(N, K))

if __name__ == "__main__":
    resolve()
Buggy code:
n = input()
k = int(input())

n_list = []
for a in n:
    n_list.append(int(a))
n_num = len(n_list)

if n_num < k:
    print('0')
    return

dp = [[[0] * (n_num + 1) for _ in range(2)]for _ in range(n_num + 1)]

dp[0][0][0] = 1
for i in range(n_num):
    for smaller in range(2):
        for j in range(n_num):
            lim = 9 if smaller else n_list[i]
            for x in range(lim + 1):
                if x != 0:
                    ns = j + 1
                else:
                    ns = j
                nlt = smaller | (x < n_list[i])
                dp[i + 1][nlt][ns] += dp[i][smaller][j]
ans = dp[n_num][0][k] + dp[n_num][1][k]
print(ans)

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

n_list = []
for a in n:
    n_list.append(int(a))
n_num = len(n_list)

if n_num < k:
    print('0')
else:

    dp = [[[0] * (n_num + 1) for _ in range(2)]for _ in range(n_num + 1)]

    dp[0][0][0] = 1
    for i in range(n_num):
        for smaller in range(2):
            for j in range(n_num):
                lim = 9 if smaller else n_list[i]
                for x in range(lim + 1):
                    if x != 0:
                        ns = j + 1
                    else:
                        ns = j
                    nlt = smaller | (x < n_list[i])
                    dp[i + 1][nlt][ns] += dp[i][smaller][j]
    ans = dp[n_num][0][k] + dp[n_num][1][k]
    print(ans)
Buggy code:
n=input()
k=int(input())
dp=[[[0]*(k+2) for _ in range(2)] for _ in range(len(n)+1)]
dp[0][0][0]=1
for i,c in enumerate(n):
	for f in range(2):
		for j in range(k+1):
			for l in range(10 if f else int(c)+1):
				dp[i+1][f or l<c][j+(l>0)]+=dp[i][f][j]
print(dp[-1][0][k]+dp[-1][1][k])

Fixed code:
n=input()
k=int(input())
dp=[[[0]*(k+2) for _ in range(2)] for _ in range(len(n)+1)]
dp[0][0][0]=1
for i,c in enumerate(n):
	c=int(c)
	for f in range(2):
		for j in range(k+1):
			for l in range(10*f or c+1):
				dp[i+1][f or l<c][j+(l>0)]+=dp[i][f][j]
print(dp[-1][0][k]+dp[-1][1][k])
Buggy code:
N,K=map(int,input().split())
def f(n,k):
  if k<1: return 1
  if n<10:
    if k<2: return n
    return 0
  d,m=n//10,n%10
  return f(d,k-1)*m+f(d-1,k-1)*(9-m)+f(d,k)
print(f(N,K))

Fixed code:
N,K=int(input()),int(input())
def f(n,k):
  if k<1: return 1
  if n<10:
    if k<2: return n
    return 0
  d,m=n//10,n%10
  return f(d,k-1)*m+f(d-1,k-1)*(9-m)+f(d,k)
print(f(N,K))
Buggy code:


ar = input()

k = int(input())

l = len(ar)


DP = [[[-1] * 2 for j in range(5)] for i in range(102)]


def dp(i, j, fl):
    if i == l:
        if j == k:
            return 1
        else:
            return 0

    if DP[i][j][fl] != -1:
        return DP[i][j][fl]

    res = 0

   # print(i,j,fl)
    if fl:
        for p in range(10):

            res += dp(i+1, j + (p != 0) , fl == 1)
    else:
        ko = ord(ar[i]) - ord('0')
        for p in range(ko + 1):

            res += dp(i + 1, j + (p != 0), p < ko)
    DP[i][j][fl] = res
    return res

print(dp(0, 0, 0))


Fixed code:


ar = input()

k = int(input())

l = len(ar)


DP = [[[-1] * 2 for j in range(103)] for i in range(102)]


def dp(i, j, fl):
    if i == l:
        if j == k:
            return 1
        else:
            return 0

    if DP[i][j][fl] != -1:
        return DP[i][j][fl]

    res = 0

   # print(i,j,fl)
    if fl:
        for p in range(10):

            res += dp(i+1, j + (p != 0) , fl == 1)
    else:
        ko = ord(ar[i]) - ord('0')
        for p in range(ko + 1):

            res += dp(i + 1, j + (p != 0), p < ko)
    DP[i][j][fl] = res
    return res

print(dp(0, 0, 0))
Buggy code:
import sys

read = sys.stdin.read


def main():
    N, K = map(int, read().split())

    dp1 = [0] * (K + 1)
    dp2 = [0] * (K + 1)
    dp1[0] = 1

    for x in map(int, str(N)):
        dp1, dp1_prev = [0] * (K + 1), dp1
        dp2, dp2_prev = [0] * (K + 1), dp2
        for j in range(K, -1, -1):
            dp2[j] += dp2_prev[j]
            if j > 0:
                dp2[j] = dp2_prev[j - 1] * 9
                if x != 0:
                    dp2[j] += dp1_prev[j - 1] * (x - 1)
            if x != 0:
                dp2[j] += dp1_prev[j]
                
            if x != 0:
                if j > 0:
                    dp1[j] = dp1_prev[j - 1]
            else:
                dp1[j] = dp1_prev[j]

    print(dp1[K] + dp2[K])
    return


if __name__ == '__main__':
    main()


Fixed code:
import sys

read = sys.stdin.read


def main():
    N, K = map(int, read().split())

    dp1 = [0] * (K + 1)
    dp2 = [0] * (K + 1)
    dp1[0] = 1

    for x in map(int, str(N)):
        dp1, dp1_prev = [0] * (K + 1), dp1
        dp2, dp2_prev = [0] * (K + 1), dp2
        for j in range(K, -1, -1):
            if j > 0:
                dp2[j] = dp2_prev[j - 1] * 9
                if x != 0:
                    dp2[j] += dp1_prev[j - 1] * (x - 1)
            dp2[j] += dp2_prev[j]
            if x != 0:
                dp2[j] += dp1_prev[j]
                
            if x != 0:
                if j > 0:
                    dp1[j] = dp1_prev[j - 1]
            else:
                dp1[j] = dp1_prev[j]

    print(dp1[K] + dp2[K])
    return


if __name__ == '__main__':
    main()
Buggy code:
import sys
read = sys.stdin.read
n, k = map(int, read().split())


def count(digit, k):
    elif k == 0:
        return 1
    elif k == 1:
        return digit
    elif k == 2:
        return digit * (digit - 1) // 2
    else:
        return digit * (digit - 1) * (digit - 2) // 6


def solve(n, k):
    if k == 0:
        return 1
    digit = len(str(n))
    res = 0
    if digit > k:
        res += count(digit - 1, k) * (9 ** k)
    pow10 = 10 ** (digit - 1)
    d, mod = n // pow10, n % pow10
    res += count(digit - 1, k - 1) * (9 ** (k - 1)) * (d - 1)
    res += solve(mod, k - 1)
    return res


print(solve(n, k))


Fixed code:
import sys
read = sys.stdin.read
n, k = map(int, read().split())


def count(digit, k):
    if digit < k:
        return 0
    elif k == 0:
        return 1
    elif k == 1:
        return digit
    elif k == 2:
        return digit * (digit - 1) // 2
    else:
        return digit * (digit - 1) * (digit - 2) // 6


def solve(n, k):

    if k == 0:
        return 1
    digit = len(str(n))
    res = 0
    if digit > k:
        res += count(digit - 1, k) * (9 ** k)
    pow10 = 10 ** (digit - 1)
    d, mod = n // pow10, n % pow10
    res += count(digit - 1, k - 1) * (9 ** (k - 1)) * (d - 1)
    res += solve(mod, k - 1)
    return res


print(solve(n, k))
Buggy code:
import math

N=input().replace('\n','')
K=int(input().replace('\n',''))

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

def calc(n,k):
    if n<k or k<0:
        return 0
    return (9**k)*C(n,k)

s=0
l=len(N)
counter=0
for i,num in enumerate(N):
    if (K-counter)==0:
        s+=1
        break
    if int(num)==0:
        continue
    s+=(int(num)-1)*calc(l-i-1,K-counter-1)
    s+=calc(l-i-1,K-counter)
    counter+=1

print(s)

Fixed code:
import math

N=input().replace('\n','')
K=int(input().replace('\n',''))

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

def calc(n,k):
    if n<k or k<0:
        return 0
    return (9**k)*C(n,k)

s=0
l=len(N)
counter=0
for i,num in enumerate(N):
    if (K-counter)==0:
        s+=1
        break
    if int(num)==0:
        continue
    if i==l-1:
        s+=(int(num))*calc(l-i-1,K-counter-1)
    else:
        s+=(int(num)-1)*calc(l-i-1,K-counter-1)
    s+=calc(l-i-1,K-counter)
    counter+=1

print(s)
Buggy code:
rom math import factorial


def nCr(n, r):
    if r <= 0:
        return 0

    if n >= r:
        return factorial(n) // (factorial(n - r) * factorial(r))
    else:
        return 0

def main():
    N = input()
    K = int(input())

    ans = func(N, K)

    print(ans)

def func(N, K):
    if len(N) < K:
        return 0

    if K == 0:
        return 1

    n = int(N[0])

    if len(N) == 1:
        if K > 1:
            return 0
        else:
            return n

    ret = 0
    if K > 1:
        ret += func(N[1:], K-1)
    else:
        ret += 1
    l = len(N[1:])

    ret += (n - 1) * func('9' * l, K - 1)
    ret += func('9'* l, K)

    # ret += (n - 1) * nCr(l-1, K - 2) * 9 ** (K - 1)
    # ret += nCr(l-1, K - 1) * 9 ** K 

    return ret
    

if __name__ == '__main__':
    main()

Fixed code:
from math import factorial


def nCr(n, r):
    if r <= 0:
        return 0

    if n >= r:
        return factorial(n) // (factorial(n - r) * factorial(r))
    else:
        return 0

def main():
    N = input()
    K = int(input())

    ans = func(N, K)

    print(ans)

def func(N, K):
    N = N.lstrip('0')
    if len(N) < K:
        return 0

    if K == 0:
        return 1

    n = int(N[0])

    if len(N) == 1:
        if K > 1:
            return 0
        else:
            return n

    ret = 0
    if K > 1:
        ret += func(N[1:], K-1)
    else:
        ret += 1
    l = len(N[1:])

    ret += (n - 1) * func('9' * l, K - 1)
    if l >= K:
        ret += func('9'* l, K)

    # ret += (n - 1) * nCr(l-1, K - 2) * 9 ** (K - 1)
    # ret += nCr(l-1, K - 1) * 9 ** K 

    return ret
    

if __name__ == '__main__':
    main()
Buggy code:
from functools import lru_cache
@lru_cache(None)
n=int(input())
k=int(input())
def cal(n,k):
  if n<10:
    if k==0: return 1
    if k==1: return n
    return 0
  q,r=divmod(n,10)
  ret=0
  if k>=1:
    ret+=cal(q,k-1)*r
    ret+=cal(q-1,k-1)*(9-r)
  ret+=cal(q,k)
  return ret

print(cal(n,k))

Fixed code:
from functools import lru_cache
n=int(input())
k=int(input())
@lru_cache(None)
def cal(n,k):
  if n<10:
    if k==0: return 1
    if k==1: return n
    return 0
  q,r=divmod(n,10)
  ret=0
  if k>=1:
    ret+=cal(q,k-1)*r
    ret+=cal(q-1,k-1)*(9-r)
  ret+=cal(q,k)
  return ret

print(cal(n,k))
Buggy code:
def solve(n,k) :
    if n <= 9 and k == 1 :
        return n
    elif n <= 9 and k >= 2 :
        return 0
    elif k == 0:
        return 0
    else :
        m = n //10
        r = n % 10
        return  r * solve(m,k-1) + (9 - r) * solve(m-1,k-1) + solve(m,k)

n = int(input())
k = int(input())
print(solve(n,k))

Fixed code:
def solve(n,k) :
    if n <= 9 and k == 1 :
        return n
    elif n <= 9 and k >= 2 :
        return 0
    elif k == 0:
        return 1
    else :
        m = n //10
        r = n % 10
        return  r * solve(m,k-1) + (9 - r) * solve(m-1,k-1) + solve(m,k)

n = int(input())
k = int(input())
print(solve(n,k))
Buggy code:
N = input()
K = int(input())
L = len(N)

dp0 = [[0] * (K + 1) for _ in range(L + 1)]
dp1 = [[0] * (K + 1) for _ in range(L + 1)]

dp0[0][0] = 1

n = []
for i in N:
    n.append(int(i))

for i in range(L):
    D = n[i]
    for j in range(K + 1):
        if D == 0:
            dp0[i + 1][j] += dp0[i][j]
            dp1[i + 1][j] += dp1[i][j]
            if j < K:
                dp1[i + 1][j + 1] = dp1[i][j] * 9
        else:
            dp1[i + 1][j] += (dp0[i][j] + dp1[i][j])
            if j < K:
                dp0[i + 1][j + 1] += dp0[i][j]
                dp1[i + 1][j + 1] += (D - 1) * dp0[i][j]
                dp1[i + 1][j + 1] += 9 * dp1[i][j]

print(dp0)
print(dp1)
print(dp0[L][K] + dp1[L][K])

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

dp0 = [[0] * (K + 1) for _ in range(L + 1)]
dp1 = [[0] * (K + 1) for _ in range(L + 1)]

dp0[0][0] = 1

n = []
for i in N:
    n.append(int(i))

for i in range(L):
    D = n[i]
    for j in range(K + 1):
        if D == 0:
            dp0[i + 1][j] += dp0[i][j]
            dp1[i + 1][j] += dp1[i][j]
            if j < K:
                dp1[i + 1][j + 1] = dp1[i][j] * 9
        else:
            dp1[i + 1][j] += (dp0[i][j] + dp1[i][j])
            if j < K:
                dp0[i + 1][j + 1] += dp0[i][j]
                dp1[i + 1][j + 1] += (D - 1) * dp0[i][j]
                dp1[i + 1][j + 1] += 9 * dp1[i][j]

print(dp0[L][K] + dp1[L][K])
Buggy code:
def nCr(n,r):
  ret = 1
  for i in range(r):
    ret *= n-i
    ret /= i+1
  return ret

def top(N,K):
  if K == 0:
    return 1
  L = len(N)
  ans = 0
  if L < K:
    return 0
  else:
    ans += nCr(L-1,K) * 9 ** K

    u = int(N[0])
    z = N.count('0')
    o = N.count('1')
    f = 0
    if z + o == L:
      f = 1
    if f == 0:
      ans += (u - 1) * nCr(L-1,K - 1) * 9 ** (K - 1)
      return ans + top(str(N[1:]),K - 1)
    else:
      if len(str(int(N[1:]))) != 1:
        return ans + top(str(int(N[1:])),K - 1)
      else:
        return ans

N = str(input())
K = int(input())

print(int(top(N,K)))

Fixed code:
def nCr(n,r):
  ret = 1
  for i in range(r):
    ret *= n-i
    ret /= i+1
  return ret

def top(N,K):
  if K == 0:
    return 1
  L = len(N)
  ans = 0
  if L < K:
    return 0
  else:
    ans += nCr(L-1,K) * 9 ** K

    u = int(N[0])
    z = N.count('0')
    o = N.count('1')
    f = 0
    if z + o == L:
      f = 1
    if f == 0:
      ans += (u - 1) * nCr(L-1,K - 1) * 9 ** (K - 1)
      if L == 1:
        return ans + 1
      else:
        return ans + top(str(int(N[1:])),K - 1)
    else:
      if len(str(int(N[1:]))) != 1:
        return ans + top(str(int(N[1:])),K - 1)
      else:
        if o >= K:
          return ans + 1
        else:
          return ans

N = str(input())
K = int(input())

print(int(top(N,K)))
Buggy code:
import math
def comb(n, r):
    return math.factorial(n) // (math.factorial(n - r) * math.factorial(r))

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

def calc(i, k):
    return comb(len(n) - i - 1, k) * 9 ** k

def cnt(n):
    ret = 0
    for c in n:
        if c != '0':
            ret += 1
    return ret

ans = 0
if len(n) == k and cnt(n) == k:
    ans +=1

for i in range(len(n)):
    if len(n)-i > k:
        ans += calc(i, k)
    if int(n[i]) == 0:
        continue
    k -= 1
    if k < 0:
        break
    if len(n)-i > k:
        ans += (int(n[i]) - 1) * calc(i, k)

print(ans)


Fixed code:
import math
def comb(n, r):
    return math.factorial(n) // (math.factorial(n - r) * math.factorial(r))

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

def calc(i, k):
    return comb(len(n) - i - 1, k) * 9 ** k

def cnt(n):
    cnt = 0
    for c in n:
        if c != "0":
            cnt += 1
    return cnt

ans = 0
if cnt(n) == k:
    ans += 1


for i in range(len(n)):
    if int(n[i]) == 0:
        continue
    if len(n)-i > k:
        ans += calc(i, k)
    k -= 1
    if k < 0:
        break
    if len(n)-i > k:
        ans += (int(n[i]) - 1) * calc(i, k)
print(ans)
Buggy code:
N = input()
K = int(input())

if len(N) < K:
  print(0)
  exit()

ans = [1, int(N[-1]), 0, 0];
nine = [1, 9, 81, 729]

def combination(N,K):
  if N < K:
    return 0
  elif K == 0:
    return 0
  elif K == 1:
    return N
  elif K == 2:
    return N*(N-1)//2
  else:
    return N*(N-1)*(N-3)//6

for k in range(1, len(N)):
  if int(N[-k-1]) > 0:
    a = [1, 0, 0, 0]
    for j in range(1, K+1):
      a[j] += nine[j]*combination(k, j)
      a[j] += (int(N[-k-1])-1)*combination(k, j-1)*nine[j-1] + ans[j-1]
    ans = a
print(ans[K])

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

if len(N) < K:
  print(0)
  exit()

ans = [1, int(N[-1]), 0, 0];
nine = [1, 9, 81, 729]

def combination(N,K):
  if N < K:
    return 0
  elif K == 0:
    return 1
  elif K == 1:
    return N
  elif K == 2:
    return N*(N-1)//2
  else:
    return N*(N-1)*(N-2)//6

for k in range(1, len(N)):
  if int(N[-k-1]) > 0:
    a = [1, 0, 0, 0]
    for j in range(1, K+1):
      a[j] += nine[j]*combination(k, j)
      a[j] += (int(N[-k-1])-1)*combination(k, j-1)*nine[j-1] + ans[j-1]
    ans = a
print(ans[K])
Buggy code:
N = input()
K = int(input())
keta = []
for k in range(len(N)):
  keta.append(int(N[-k-1]))
ans = [1, keta[0], 0, 0];

def combination(N,K):
  if N < K:
    return 0
  else:
    p = 1
    for k in range(K):
      p *= N
      N -= 1
    for k in range(1, K+1):
      p //= k
    return p
for k in range(1, len(N)-1):
  if keta[k] > 0:
    a = [] + ans
    for j in range(1, 4):
      a[j] += (keta[k]-1)*combination(k, j-1)*(9**(j-1)) + ans[j-1]
    ans = [] + a
answer = (9**(K))*combination(len(N)-1, K)
answer += (keta[-1]-1)*(9**(K-1))*combination(len(N)-1, K-1)
answer += ans[K-1]
print(answer)

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

if len(N) < K:
  print(0)
  exit()

keta = []
for k in range(len(N)):
  keta.append(int(N[-k-1]))
ans = [1, keta[0], 0, 0];

def combination(N,K):
  if N < K:
    return 0
  else:
    p = 1
    for k in range(K):
      p *= N
      N -= 1
    for k in range(1, K+1):
      p //= k
    return p
for k in range(1, len(N)-1):
  if keta[k] > 0:
    a = [1, 0, 0, 0]
    for j in range(1, 4):
      a[j] += (9**(j))*combination(k, j)
      a[j] += (keta[k]-1)*combination(k, j-1)*(9**(j-1)) + ans[j-1]
    ans = [] + a
answer = (9**(K))*combination(len(N)-1, K)
answer += (keta[-1]-1)*(9**(K-1))*combination(len(N)-1, K-1)
answer += ans[K-1]
print(answer)