qyliang/CodeNanoFix huggingface dataset:
Buggy code:
N=int(input())

m=[1,6,6**2,6**3,6**4,6**5,6**6,9,9**2,9**3,9**4,9**5]
m.sort()
cnt=[0]*(N+1)
for i in range(1,N+1):
    #print('i',i)
    for l in m:
        #print('l',l)
        formararr=[]
        if i>=l:
            formararr.append(cnt[i-l])
            cnt[i]=min(formararr)+1
print(cnt[N])

Fixed code:
N=int(input())

m=[1,6,6**2,6**3,6**4,6**5,6**6,9,9**2,9**3,9**4,9**5]
m.sort()
cnt=[0]*(N+1)
for i in range(1,N+1):
    #print('i',i)
    formararr=[]
    for l in m:
        #print('l',l)
        if i>=l:
            formararr.append(cnt[i-l])
        cnt[i]=min(formararr)+1
print(cnt[N])
Buggy code:
def rec(n):
    if n == 0:
        memo[n] = 0
        return memo[n]
    if memo[n] != -1:
        return memo[n]
    res = n
    pow6 = [1]
    pow9 = [1]
    for i in range(1, n):
        if 6 ** i > n:
            break
        pow6.append(6 ** i)
    
    for j in range(1, n):
        if 9 ** j > n:
            break
        pow9.append(9 ** j)
    L = set(pow6 + pow9)
    
    for k in L:
        res = min(res, rec(n - k)+1)
        
    memo[n] = res
    return memo[n]
    

N = int(input())
memo = [-1] * (N+1)
print(rec(N))

Fixed code:
import sys
sys.setrecursionlimit(100000)

def rec(n):
    if n == 0:
        memo[n] = 0
        return memo[n]
    if memo[n] != -1:
        return memo[n]
    res = n
    pow6 = []
    pow9 = []
    for i in range(n):
        if 6 ** i > n:
            break
        pow6.append(6 ** i)
    
    for j in range(1, n):
        if 9 ** j > n:
            break
        pow9.append(9 ** j)
    L = set(pow6 + pow9)
    
    for k in L:
        res = min(res, rec(n - k)+1)
        
    memo[n] = res
    return memo[n]
    

N = int(input())
memo = [-1] * (N+1)
print(rec(N))
Buggy code:
N = int(input())
List9 = [9 ** i for i in range(6) if 9 ** i <= N]
List6 = [6 ** i for i in range(6) if 6 ** i <= N]

def recur(n,con):
  if n == 0:
    return con
    
"""
  elif n < 6:
    return con + n
    
  elif n < 9:
    return con + (n - 5)
"""    

  else:
    max9 = max([i for i in List9 if i <= n])
    max6 = max([i for i in List6 if i <= n])
    
    return min(recur(n - max9,con + 1),recur(n - max6,con + 1))
    
print(recur(N,0))

Fixed code:
N = int(input())
List9 = [9 ** i for i in range(1,7) if 9 ** i <= N]
List6 = [6 ** i for i in range(1,7) if 6 ** i <= N]

def recur(n,con):
  if n == 0:
    return con

  elif n < 6:
    return con + n
    
  elif n < 9:
    return con + (n - 5)

  else:
    max9 = [i for i in List9 if i <= n][-1]
    max6 = [i for i in List6 if i <= n][-1]
    
    return min(recur(n - max9,con + 1),recur(n - max6,con + 1))
    
print(recur(N,0))
Buggy code:
def s(n,p):
  while n>0:yield n%p;n//=p
c=lambda*a:sum(s(*a));print(min(c(i,6)+c(n-i,9)for i in range(int(input())+1)))

Fixed code:
def s(n,p):
  while n>0:yield n%p;n//=p
c=lambda*a:sum(s(*a));n=int(input());print(min(c(i,6)+c(n-i,9)for i in range(n+1)))
Buggy code:
from functools import lru_cache

@lru_cache(maxsize=1000)
def fx(n):
  if n == 0:
    return 0
  if n == 1:
    return 1
  arr = []
  a = n
  cnt = 1
  b = fx(n-1)+1
  arr.append(b)
  while n-6**cnt >= 0:
    x = n-(6**cnt)
    b = fx(x)+1
    arr.append(b)
    cnt += 1
  cnt = 1
  while n-9**cnt >= 0:
    x = n-(9**cnt)
    b = fx(x)+1
    arr.append(b)
    cnt += 1
  return min(arr)
  
N = int(input())
print(fx(N))



Fixed code:
from functools import lru_cache

@lru_cache(maxsize=1000)
def fx(n):
  if n == 0:
    return 0
  if n == 1:
    return 1
  arr = []
  cnt = 0
  
  if n < 6:
    b = fx(n-1)+1
    arr.append(b)
  while n-6**cnt >= 0:
    cnt += 1
  if cnt > 1:
    
    x = n-(6**(cnt-1))
    b = fx(x)+1
    arr.append(b)

  cnt = 0
  while n-9**cnt >= 0:
    cnt += 1
  if cnt > 1:
    x = n-(9**(cnt-1))
    b = fx(x)+1
    arr.append(b)
  
  return min(arr)
  
N = int(input())
print(fx(N))
Buggy code:
N=int(input())
def cou(n,x):
    i=0
    while(n>0):
        i+=n%x
        n//=x
    return i
ans=N
for i in range(N+1):
    ans=min(ans,cou(j,6)+cou(N-j,9))
print(ans)

Fixed code:
N=int(input())
def cou(n,x):
    i=0
    while(n>0):
        i+=n%x
        n//=x
    return i
ans=N
for j in range(N+1):
    ans=min(ans,cou(j,6)+cou(N-j,9))
print(ans)
Buggy code:
from itertools import product

n = int(input())
n = 9 ** 6 - 1

pow6 = [pow(6, i + 1) for i in range(6)]
pow9 = [pow(9, i) for i in range(6)][::-1]

ans = n
for l in product(range(6), repeat=6):
    cnt = sum(l)
    num = n - sum(pi * li for pi, li in zip(pow6, l))
    if num >= 0:
        tmp = 0
        while num > 0:
            if pow9[tmp] > num:
                tmp += 1
            elif pow9[tmp] <= num:
                num -= pow9[tmp]
                cnt += 1
        ans = min(ans, cnt)
print(ans)


Fixed code:
from itertools import product

n = int(input())

pow6 = [pow(6, i + 1) for i in range(6)]
pow9 = [pow(9, i) for i in range(6)][::-1]

ans = n
for l in product(range(6), repeat=6):
    cnt = sum(l)
    num = n - sum(pi * li for pi, li in zip(pow6, l))
    if num >= 0:
        tmp = 0
        while num > 0:
            if pow9[tmp] > num:
                tmp += 1
            elif pow9[tmp] <= num:
                num -= pow9[tmp]
                cnt += 1
        ans = min(ans, cnt)
print(ans)
Buggy code:

args = int(input())

ans = float('inf')
for i in range(args+1):
    count = 0

    args_six = i
    while args_six >= 6:
        count += args_six % 6
        args_six //= 6
    count += args_six

    args_nine = args - i
    while args_nine >= 9:
        count += args_nine % 6
        args_nine //= 9
    count += args_nine
    ans = min(ans, count)

print(ans)

Fixed code:

args = int(input())

ans = float('inf')
for i in range(args+1):
    count = 0

    args_six = i
    while args_six >= 6:
        count += args_six % 6
        args_six //= 6
    count += args_six

    args_nine = args - i
    while args_nine >= 9:
        count += args_nine % 9
        args_nine //= 9
    count += args_nine
    ans = min(ans, count)

print(ans)
Buggy code:
N = int(input())
INF = 10**6
dp = [INF] * (max(9, N))
for i in range(10):
  if  0 < i < 6:
    dp[i] = i
  elif i < 9:
    dp[i] = i%6+1
for i in range(N):
  n = m = 1
  while i+9**n <= N:
    dp[i+9**n] = min(dp[i+9**n], dp[i] + 1)
    n += 1
  while i+6**m <= N:
    dp[i+6**m] = min(dp[i+6**m], dp[i] + 1)
    m += 1
print(dp[N])


Fixed code:
N = int(input())
INF = 10**6
dp = [INF] * (max(9, N)+1)
dp[0] = 0
for i in range(N):
  n = m = 0
  while i+9**n <= N:
    dp[i+9**n] = min(dp[i+9**n], dp[i] + 1)
    n += 1
  while i+6**m <= N:
    dp[i+6**m] = min(dp[i+6**m], dp[i] + 1)
    m += 1
print(dp[N])
Buggy code:
n = int(input())
coins = []
for i in range(7):
    if 6**i <= 10**5:
        coins.append(6**i)
    if 9**i <= 10**5:
        coins.append(9**i)
dp = [10**5]*(n+1)

def f(i):
    if i==0:
        return 0
    if dp[i] != 10**5:
        return dp[i]
    candidates = [f(i-coin)+1 for coin in coins if i-coin >= 0]
    dp[i] = min(candidates)
    return dp[i]

print(f(n))

Fixed code:
n = int(input())
coins = [1]
for i in range(1,7):
    if 6**i <= n:
        coins.append(6**i)
    if 9**i <= n:
        coins.append(9**i)
coins.reverse()
dp = [10**5]*(n+1)

def f(i):
    #print(i)
    if i==0:
        return 0
    if dp[i] != 10**5:
        return dp[i]
    candidates = [f(i-coin)+1 for coin in coins if i-coin >= 0]
    dp[i] = min(candidates)
    return dp[i]

print(f(n))
Buggy code:
n = int(input())

dp = [0 for i in range(n+1)]

for i in range(35):
    j = i // 9
    cand = []
    for k in range(j+1):
       _i = i
       _i -= 9*k
       l = _i // 6
       for m in range(l+1):
           __i = _i
           __i -= 6*m
           cand.append(k+m+__i)
    dp[i] = min(cand)
nine_list = [pow(9, i) for i in range(1, 6)]
six_list = [pow(6, i) for i in range(1, 7)]
for i in range(36, n+1):
    for j in range(len(nine_list)):
        if nine_list[j] > i:
            max_nine = nine_list[j-1]
            break
    for j in range(len(six_list)):
        if six_list[j] > i:
            max_six = six_list[j-1]
            break
    dp[i] = min(dp[i-max_nine]+1, dp[i-max_six]+1)

print(dp[n])

Fixed code:
n = int(input())

dp = [0 for i in range(max(n+1, 36))]

for i in range(35):
    j = i // 9
    cand = []
    for k in range(j+1):
       _i = i
       _i -= 9*k
       l = _i // 6
       for m in range(l+1):
           __i = _i
           __i -= 6*m
           cand.append(k+m+__i)
    dp[i] = min(cand)
nine_list = [pow(9, i) for i in range(1, 6)]
six_list = [pow(6, i) for i in range(1, 7)]
for i in range(35, n+1):
    max_nine = nine_list[len(nine_list) - 1]
    max_six = six_list[len(six_list) - 1]
    for j in range(len(nine_list)):
        if nine_list[j] > i:
            max_nine = nine_list[j-1]
            break
    for j in range(len(six_list)):
        if six_list[j] > i:
            max_six = six_list[j-1]
            break
    dp[i] = min(dp[i-max_nine]+1, dp[i-max_six]+1)

print(dp[n])
Buggy code:


N = int(input())
A = [1]
for i in range(1,7):
    A.append(6 ** i)
for i in range(1, 6):
    A.append(9 ** i)


A = sorted(A)
dp = [float("inf")] * (N+1)
dp[0] = 0

for i in range(1,N+1):
    for k, v in enumerate(A):
        if i >= v:
            dp[i] = min(dp[i], dp[i-A[s]]+1)
            
            
print(dp[N])

Fixed code:
N = int(input())
A = [1]
for i in range(1,7):
    A.append(6 ** i)
for i in range(1, 6):
    A.append(9 ** i)


A = sorted(A)
dp = [float("inf")] * (N+1)
dp[0] = 0

for i in range(1,N+1):
    for k, v in enumerate(A):
        if i >= v:
            dp[i] = min(dp[i], dp[i-v]+1)


print(dp[N])
Buggy code:
n = int(input())
MAXN = 110000

f_inf = float('inf')
dp = [f_inf] * (MAXN+n)

dp[0] = 0

for i in range(1, n+2):
    for j in range(5):
        dp[i] = min(dp[i], dp[i-pow(6, j)]+1)
    for k in range(5):
        dp[i] = min(dp[i], dp[i-pow(9, k)]+1)

print(dp[n])

Fixed code:
n = int(input())
MAXN = 110000

f_inf = float('inf')
dp = [f_inf] * (MAXN+n)

dp[0] = 0

for i in range(1, n+2):
    for j in range(7):
        dp[i] = min(dp[i], dp[i-pow(6, j)]+1)
    for k in range(6):
        dp[i] = min(dp[i], dp[i-pow(9, k)]+1)

print(dp[n])
Buggy code:
n = int(input())
ans = n
l9 = [9**i for i in range(6,0,-1)]
l6 = [6**i for i in range(7,-1,-1)]
for i in range(n//9+1):
  x9 = i*9
  x61= n-x9
  csum = 0
  for x in l9:
    csum += x9//x
    x9 %= x
  for x in x61:
    csum += x61//x
    x61 %= x
  if ans > csum:
    ans = csum
print(ans)    

Fixed code:
n = int(input())
ans = n
l9 = [9**i for i in range(6,0,-1)]
l6 = [6**i for i in range(7,-1,-1)]
for i in range(n//9+1):
  x9 = i*9
  x61= n-x9
  csum = 0
  for x in l9:
    csum += x9//x
    x9 %= x
  for x in l6:
    csum += x61//x
    x61 %= x
  if ans > csum:
    ans = csum
print(ans)
Buggy code:
n=int(input())
ans=n
for n1 in range(n+1):
  n2=n-n1
  cnt1=0
  while n1>0:
    cnt1+=n1%6
    n1=n1//6
  cnt2=0
  while n2>0:
    cnt2+=n2%9
    n2=n2//9
  ans=min(ans,n1+n2)
print(ans)

Fixed code:
n=int(input())
ans=n
for n1 in range(n+1):
  n2=n-n1
  cnt1=0
  while n1>0:
    cnt1+=n1%6
    n1=n1//6
  cnt2=0
  while n2>0:
    cnt2+=n2%9
    n2=n2//9
  ans=min(ans,cnt1+cnt2)
print(ans)
Buggy code:
n = int(input())

lis = [1, 6, 36, 216, 1296, 7776, 46656,
     9, 81, 729, 6561, 59049]
m = len(c)

dp = [float('inf') for _ in range(n+1)]
dp[0] = 0

for j in range(1,n+1):
    temp = []
    for i in range(m):
        if j < c[i]:
            continue
        else:
            temp.append(dp[j-lis[i]]+1)
    dp[j] = min(temp)

print(dp[n])


Fixed code:
n = int(input())

lis = [1, 6, 36, 216, 1296, 7776, 46656,
     9, 81, 729, 6561, 59049]
m = len(lis)

dp = [float('inf') for _ in range(n+1)]
dp[0] = 0

for j in range(1,n+1):
    temp = []
    for i in range(m):
        if j < lis[i]:
            continue
        else:
            temp.append(dp[j-lis[i]]+1)
    dp[j] = min(temp)

print(dp[n])
Buggy code:
n = int(input())
dp = [100000000000 for _ in range(n+1)]
dp[0] = 0
for i in range(n):
    dp[i+1] = min(dp[i]+1,dp[i+1])
    six = 0
    nine = 0
    while (6**six < i):
        dp[i+1] = min(dp[(i+1) - 6**six] + 1,dp[i+1])
        six += 1
    while (9**nine < i):
        dp[i+1] = min(dp[(i+1) - 9**nine] + 1,dp[i+1])
        nine += 1
print(dp[-1])

Fixed code:
n = int(input())
dp = [100000000000 for _ in range(n+1)]
dp[0] = 0
for i in range(1,n+1):
    dp[i] = min(dp[i-1]+1,dp[i])
    six = 0
    nine = 0
    while (6**six <= i):
        dp[i] = min(dp[i - 6**six] + 1,dp[i])
        six += 1
    while (9**nine <= i):
        dp[i] = min(dp[i - 9**nine] + 1,dp[i])
        nine += 1
print(dp[n])
Buggy code:
n=int(input())
s=[]
t=[]
p=0
def f9(n,p):
    while n>=9:
        n//=9
        p+=1
        f9(n,p)
    return p
def f6(n,p):
    while n>=6:
        n//=6
        p+=1
        f6(n,p)
    return p    
s.append((n,0))
while s:
    print(s)
    a=s[0][0]
    b=s[0][1]
    if a<6:
        t.append(b+a)
    else:
        p=0
        s.append((a-9**f9(a,p),b+1))
        p=0
        s.append((a-6**f6(a,p),b+1))
    s.pop(0)    
print(min(t))




Fixed code:
n=int(input())
s=[]
t=1000
p=0
def f9(n,p):
    while n>=9:
        n//=9
        p+=1
        f9(n,p)
    return p
def f6(n,p):
    while n>=6:
        n//=6
        p+=1
        f6(n,p)
    return p    
s.append((n,0))
while s:
    a=s[0][0]
    b=s[0][1]
    if a<6:
        t=min(t,b+a)
    if t>=b+1:
        p=0
        s.append((a-9**f9(a,p),b+1))
        p=0
        s.append((a-6**f6(a,p),b+1))
    s.pop(0)    
print(t)
Buggy code:
n = int(input())
ans=n
for i in range(n+1):
  cnt=0
  t=i
  while t>0:
    t//=6
    cnt+=t%6
  s=n-i
  while s>0:
    s//9
    cnt+=s%9
  min(ans,cnt)
print(ans)

Fixed code:
n = int(input())
ans=n
for i in range(n+1):
  cnt=0
  t=i
  while t>0:
    cnt+=t%6
    t//=6
  s=n-i
  while s>0:
    cnt+=s%9
    s//=9
  ans = min(ans,cnt)
print(ans)
Buggy code:
L=[1]
n=int(input())
x = 6
y = 9
while x <= n:
  L.append(x)
  x *= 6
while y <= n:
  L.append(y)
  y *= 9
L.sort()#[1,6,9,36,81]
dp = [float("Inf")]*(n+1)
dp[0] = 0
for i in range(n+1):#0~81
  for j in L:#1,6,9
    dp[i+j] = min(dp[i+j],dp[i]+1)#dp=[0,1,...1,.1]
print(dp[n])

Fixed code:
L=[1]
n=int(input())
x = 6
y = 9
while x <= n:
  L.append(x)
  x *= 6
while y <= n:
  L.append(y)
  y *= 9
L.sort()#[1,6,9,36,81]
dp = [float("Inf")]*(n+1)
dp[0] = 0
for i in range(n+1):#0~81
  for j in L:#1,6,9
    if i+j <= n:
      dp[i+j] = min(dp[i+j],dp[i]+1)#dp=[0,1,...1,.1]
    else:
      break
print(dp[n])
Buggy code:
a = int(input())
k = a
for i  in range(a+1):
  al = 0
  t = i
  while t > 0:
    al += t%6
    t //=6
  t = a - i
  while t > 0:
    al += t%9
    t //=9
  if al < k:
    k = al

print(al)


Fixed code:
a = int(input())
k = a
for i  in range(a+1):
  al = 0
  t = i
  while t > 0:
    al += t%6
    t //=6
  t = a - i
  while t > 0:
    al += t%9
    t //=9
  if al < k:
    k = al

print(k)
Buggy code:
cnt = 0
i = 10
dp = [0,1,2,3,4,5,1,2,3,1]
while i<=N:
    idx_n,idx_s = 0,0
    while i-(9**idx_n)>=0:
        idx_n += 1
    idx_n -= 1
    while i-(6**idx_s)>=0:
        idx_s += 1
    idx_s -= 1
    dp.append(min(1+dp[i-(9**idx_n)],1+dp[i-(6**idx_s)]))
    i += 1
print(dp[N])


Fixed code:
N = int(input())
cnt = 0
i = 10
dp = [0,1,2,3,4,5,1,2,3,1]
while i<=N:
    idx_n,idx_s = 0,0
    while i-(9**idx_n)>=0:
        idx_n += 1
    idx_n -= 1
    while i-(6**idx_s)>=0:
        idx_s += 1
    idx_s -= 1
    dp.append(min(1+dp[i-(9**idx_n)],1+dp[i-(6**idx_s)]))
    i += 1
print(dp[N])
Buggy code:
n = int(input())
dp = [float("Inf")]*(n+1)
for i in range(5):
    dp[i] = i
for i in range(n):
    for j in range(1,n//6+1):
        if i + 6**j > n:
            break
        dp[i+6**j] = min(dp[i+6**j], dp[i] + 1)
    for j in range(1,n//9+1):
        if i + 9**j > n:
            break
        dp[i+9**j] = min(dp[i+9**j], dp[i] + 1)
print(dp[-1])

Fixed code:
n = int(input())
dp = [float("Inf")]*(n+1)
dp[0] = 0
for i in range(n):
    for j in range(1,6):
        if i + j > n:
            break
        dp[i+j] = min(dp[i+j], dp[i] + j)
    for j in range(1,n//6+1):
        if i + 6**j > n:
            break
        dp[i+6**j] = min(dp[i+6**j], dp[i] + 1)
    for j in range(1,n//9+1):
        if i + 9**j > n:
            break
        dp[i+9**j] = min(dp[i+9**j], dp[i] + 1)
print(dp[-1])
Buggy code:
n = int(input())
dp = [float("Inf")]*(n+1)
dp[0] = 0
for i in range(n):
    if dp[i] == float("Inf"):
        pass
    else:
        for j in range(1,n//6):
            if i + 6**j > n:
                break
            dp[i+6**j] = min(dp[i+6**j], dp[i] + 1)
        for j in range(1,n//9):
            if i + 9**j > n:
                break
            dp[i+9**j] = min(dp[i+9**j], dp[i] + 1)
ans = n
for i in range(max(0, n-5), n+1):
    ans = min(ans, dp[i]+n-i)
print(ans)
print(dp)

Fixed code:
n = int(input())
dp = [float("Inf")]*(n+1)
dp[0] = 0
for i in range(n):
    if dp[i] == float("Inf"):
        pass
    else:
        for j in range(1,n//6+1):
            if i + 6**j > n:
                break
            dp[i+6**j] = min(dp[i+6**j], dp[i] + 1)
        for j in range(1,n//9+1):
            if i + 9**j > n:
                break
            dp[i+9**j] = min(dp[i+9**j], dp[i] + 1)
ans = n
for i in range(max(0, n-5), n+1):
    ans = min(ans, dp[i]+n-i)
print(ans)
Buggy code:
import bisect as bi

N = int(input())

li6 = [6 ** i for i in range(7)]
li9 = [9 ** i for i in range(6)]

def s69(n):
  if n < 6:
    return n
  else:
    s6 = li6[bi.bisect_left(li6, n)-1]
    s9 = li9[bi.bisect_left(li9, n)-1]
    return min(n // s6 + s69(n % s6), n // s9 + s69(n % s9))
#    return min(n // s6 + s69(n % s6), 1 + s69(n-s9))
  
print (s69(N))

Fixed code:
import bisect as bi

li6 = [6 ** i for i in range(7)]
li9 = [9 ** i for i in range(6)]

def s69(n):
  if n < 6:
    return n
  else:
    s6 = li6[bi.bisect(li6, n)-1]
    s9 = li9[bi.bisect(li9, n)-1]
    return min(n // s6 + s69(n % s6), 1 + s69(n-s9), n // s9 + s69(n % s9))
  
print (s69(int(input())))
Buggy code:
n=int(input())
a=100000
for i in range(n+1):
    j=i
    count=0
    while i>0:
        count+=i%6
        i//=6
    while j>0:
        count+=j%9
        j//=9
    a=min(a,count)
print(a)


Fixed code:
n=int(input())
a=100000
for i in range(n+1):
    j=n-i
    count=0
    while i>0:
        count+=i%6
        i//=6
    while j>0:
        count+=j%9
        j//=9
    a=min(a,count)
print(a)
Buggy code:
import sys
import heapq, math
from itertools import zip_longest, permutations, combinations, combinations_with_replacement
from itertools import accumulate, dropwhile, takewhile, groupby
from functools import lru_cache
from copy import deepcopy

N = int(input())

dp = [N] * (N + 1)
dp[0] = 0
for i in range(N):
    dp[i + 1] = min(dp[i + 1], dp[i] + 1)
    six = 6
    nine = 9
    for p in range(9):
        if i + six <= N:
            dp[i + six] = min(dp[i + six], dp[i] + 1)
        if i + nine <= N:
            dp[i + nine] = min(dp[i + nine], dp[i] + 1)
        six *= six
        nine *= nine

print(dp[N])

Fixed code:
import sys
import heapq, math
from itertools import zip_longest, permutations, combinations, combinations_with_replacement
from itertools import accumulate, dropwhile, takewhile, groupby
from functools import lru_cache
from copy import deepcopy

N = int(input())

dp = [N] * (N + 1)
dp[0] = 0
for i in range(N):
    dp[i + 1] = min(dp[i + 1], dp[i] + 1)
    six = 6
    nine = 9
    for p in range(10):
        if i + six <= N:
            dp[i + six] = min(dp[i + six], dp[i] + 1)
        if i + nine <= N:
            dp[i + nine] = min(dp[i + nine], dp[i] + 1)
        six *= 6
        nine *= 9

print(dp[N])
Buggy code:
N=int(input())
ans=N
def func1():
    global ans
    for i in range(N+1):
        cnt=0
        t=i
        while(t>0):
            cnt+=t%6
            t/=6
            t=int(t)
        t=N-i
        while(t>0):
            cnt+=t%9
            t/=9
            t=int(t)
        print(cnt)
        if(ans>cnt):
            ans=cnt
    return ans

func1()
print(ans)

Fixed code:
N=int(input())
ans=N
def func1():
    global ans
    for i in range(N+1):
        cnt=0
        t=i
        while(t>0):
            cnt+=t%6
            t/=6
            t=int(t)
        t=N-i
        while(t>0):
            cnt+=t%9
            t/=9
            t=int(t)
        if(ans>cnt):
            ans=cnt
    return ans

func1()
print(ans)
Buggy code:
import numpy as np

n = int(input())
def solve(n):
    f = [float('inf') for _ in range(n+1)]
    f[0] = 0
    for i in range(1, n+1):
        f[i] = f[i-1] + 1
        k = 6
        l = 9
        while k <= i:
            f[i] = min(f[i], f[i-k] + 1)
            k *= 6
        while l <= i:
            f[i] = min(f[i], f[i-l] + 1)
            l *= 6
    print(f[n])
solve(n)

Fixed code:
import numpy as np

n = int(input())
def solve(n):
    f = [float('inf') for _ in range(n+1)]
    f[0] = 0
    for i in range(1, n+1):
        f[i] = f[i-1] + 1
        k = 6
        l = 9
        while k <= i:
            f[i] = min(f[i], f[i-k] + 1)
            k *= 6
        while l <= i:
            f[i] = min(f[i], f[i-l] + 1)
            l *= 9
    print(f[n])
solve(n)
Buggy code:
import sys
sys.setrecursionlimit(10**9)

n=int(input())
l=[]
for i in range(1,10):
    if 6**i>n:
        break
    l.append(6**i)
for i in range(1,10):
    if 9**i>n:
        break
    l.append(9**i)

l.sort()

if n in l:
    print(1)
    exit()

inf=float("inf")
dp=[inf]*(n+1)

def dfs(n):
    if dp[n]!=inf:
        return dp[n]
    if n<6:
        return n
    m=inf
    for d in l:
        if n-d<0:
            break
        m=min(m,dfs(n-d)+1)
    dp[n]=m
    return m

print(dfs(n))
print(dp)


Fixed code:
import sys
sys.setrecursionlimit(10**9)

n=int(input())
l=[]
for i in range(1,10):
    if 6**i>n:
        break
    l.append(6**i)
for i in range(1,10):
    if 9**i>n:
        break
    l.append(9**i)

l.sort()

if n in l:
    print(1)
    exit()

inf=float("inf")
dp=[inf]*(n+1)

def dfs(n):
    if dp[n]!=inf:
        return dp[n]
    if n<6:
        return n
    m=inf
    for d in l:
        if n-d<0:
            break
        m=min(m,dfs(n-d)+1)
    dp[n]=m
    return m

print(dfs(n))
Buggy code:
N = int(input())

l1 = 2 ** 30
p6 = [1] * 6
p9 = [1] * 5
for i in range(1,7):
    p6[i] = p6[i-1] * 6
    if i < 6 : p9[i] = p9[i-1] * 9

dp = [l1] * (N+1)
dp[0] = 0

for i in range(1,N+1):
    for j in p6:
        if j>i: break
        dp[i] = min(dp[i],dp[i-j]+1)
        
    for j in p9:
        if j>i: break
        dp[i] = min(dp[i],dp[i-j]+1)
        
print(dp[N])

Fixed code:
N = int(input())

l1 = 2 ** 30
p6 = [1] * 7
p9 = [1] * 6
for i in range(1,7):
    p6[i] = p6[i-1] * 6
    if i < 6 : p9[i] = p9[i-1] * 9

dp = [l1] * (N+1)
dp[0] = 0

for i in range(1,N+1):
    for j in p6:
        if j>i: break
        dp[i] = min(dp[i],dp[i-j]+1)
        
    for j in p9:
        if j>i: break
        dp[i] = min(dp[i],dp[i-j]+1)
        
print(dp[N])
Buggy code:
n = int(input())
ws = [1]
ws += [6**i for i in range(1, 8)]
ws += [9**i for i in range(1, 6)]
ws = sorted(set(ws))

print(ws)
INF = 10**5
dp = [INF] * (n+1)
dp[0] = 0
for i in range(n+1):
    for w in ws:
        if i + w <= n:
            dp[i+w] = min(dp[i]+1, dp[i+w])
print(dp[-1])

Fixed code:
n = int(input())
ws = [1]
ws += [6**i for i in range(1, 8)]
ws += [9**i for i in range(1, 6)]
ws = sorted(set(ws))

INF = 10**5
dp = [INF] * (n+1)
dp[0] = 0
for i in range(n+1):
    for w in ws:
        if i + w <= n:
            dp[i+w] = min(dp[i]+1, dp[i+w])
print(dp[-1])