qyliang/CodeNanoFix huggingface dataset:
Buggy code:
a, b = map(int, input().split())
k = b-a
print(k*(k+1)//2-a)

Fixed code:
a, b = map(int, input().split())
k = b-a
print(k*(k-1)//2-a)
Buggy code:
a,b=map(int,input().split())
c=b-a
x=c*(c+1)/2 - b
print(str(x))

Fixed code:
a,b=map(int,input().split())
c=b-a
x=(c*(c+1))//2
print(x-b)
Buggy code:
a,b=map(int,input().split())
n=b-a
sumn=n*(1+n)//2
print(sumn)

print(sumn-b)


Fixed code:
a,b = map(int, input().split())
n = b - a
snow = n*(n+1)//2
print(snow-b)
Buggy code:
a,b=map(int,input().split())
print((b-a-1)*(b-a)/2-a)

Fixed code:
a,b=map(int,input().split())
n=b-a
print((n*(n-1)//2-a))
Buggy code:
def solve():
    n = int(input())
    dp = [0 for _ in range(n+1)] 

    for i in range(1, n+1):
        options = find_options(i)
        selected = min(map(lambda x: [x, dp[i - x]], options), key=lambda x: x[1])
        print(selected)
        dp[i] = dp[i-selected[0]] + 1

    print(dp[n])

def find_options(n):
    sixs = find_sixs(n)
    nines = find_nines(n)
    options = [1]
    options.extend(sixs)
    options.extend(nines)
    return options


def find_sixs(n):
    sixs = 1
    powers = [] 
    count = 0
    while n > sixs:
        count += 1
        sixs *= 6
        powers.append(sixs)
    
    if len(powers) == 0:
        return powers
    else:
        powers.pop()
    return powers

def find_nines(n):
    nines = 1
    powers = [] 
    count = 0
    while n > nines:
        count += 1
        nines *= 9
        powers.append(nines)
    
    if len(powers) == 0:
        return powers
    else:
        powers.pop()
    return powers

if __name__ == "__main__":
    solve()

Fixed code:
def solve():
    n = int(input())
    dp = [0 for _ in range(n+1)] 

    for i in range(1, n+1):
        options = find_options(i)
        selected = min(map(lambda x: [x, dp[i - x]], options), key=lambda x: x[1])
        dp[i] = selected[1] + 1

    print(dp[n])

def find_options(n):
    sixs = find_sixs(n)
    nines = find_nines(n)
    options = [1]
    options.extend(sixs)
    options.extend(nines)
    return options


def find_sixs(n):
    sixs = 1
    powers = [] 
    count = 0
    while n > sixs:
        count += 1
        sixs *= 6
        powers.append(sixs)
    
    if sixs == n:
        return powers
    else:
        powers.pop()
    return powers

def find_nines(n):
    nines = 1
    powers = [] 
    count = 0
    while n > nines:
        count += 1
        nines *= 9
        powers.append(nines)
    
    if nines == n:
        return powers
    else:
        powers.pop()
    return powers

if __name__ == "__main__":
    solve()
Buggy code:
N=int(input())
number_of_withdrawal=[]

def floor(float_number):
    integer = 0
    while integer < float_number:
        integer+=1
    if integer == float_number:
        return integer
    else:
        integer-=1
        return integer

for money_6 in range(0, N+1):
    money_9 = N-money_6

    i=0
    count_6_pow_number=[]
    while pow(6,i)<=money_6:
        count_6_pow_number.append((floor(money_6/pow(6,i)))%6)
        i+=1
    j=0
    count_9_pow_number=[]
    while pow(9,j)<=money_9:
        count_9_pow_number.append((floor(money_9/pow(9,j)))%9)
        j+=1

    # print(money_6, money_9, sum(count_6_pow_number), sum(count_9_pow_number))
    number_of_withdrawal.append(sum(count_6_pow_number)+sum(count_9_pow_number))


print(min(number_of_withdrawal))

Fixed code:
import math

N=int(input())
number_of_withdrawal=[100000]

# def floor(float_number):
#     integer = 0
#     while integer < float_number:
#         integer+=1
#     if integer == float_number:
#         return integer
#     else:
#         integer-=1
#         return integer

for money_6 in range(0, N+1):
    money_9 = N-money_6

    i=0
    count_6_pow_number=0
    while pow(6,i)<=money_6:
        count_6_pow_number += (math.floor(money_6/pow(6,i)))%6
        i+=1
    j=0
    count_9_pow_number=0
    while pow(9,j)<=money_9:
        count_9_pow_number += (math.floor(money_9/pow(9,j)))%9
        j+=1

    # print(money_6, money_9, sum(count_6_pow_number), sum(count_9_pow_number))
    number_of_withdrawal.append(count_6_pow_number+count_9_pow_number)

print(min(number_of_withdrawal))
Buggy code:
import sys
sys.setrecursionlimit(999999999)
from functools import lru_cache
@lru_cache(maxsize=32)
def solve(cnt,nokori):
    if nokori<6:
        return cnt+nokori

    for six in range(10,-1,-1):
        if 6**six <= nokori:
            break
    for nine in range(10,-1,-1):
        if 9**nine <= nokori:
            break

    res1 = solve(cnt+1,nokori-6**six)
    if nine != 0:
        res2 = solve(cnt+1,nokori-9**nine)
    else:
        res2=10**9

    return min([res1,res2])

print(solve(0,n))

Fixed code:
n = int(input())

import sys
sys.setrecursionlimit(999999999)
from functools import lru_cache
@lru_cache(maxsize=32)
def solve(cnt,nokori):
    if nokori<6:
        return cnt+nokori

    for six in range(10,-1,-1):
        if 6**six <= nokori:
            break
    for nine in range(10,-1,-1):
        if 9**nine <= nokori:
            break

    res1 = solve(cnt+1,nokori-6**six)
    if nine != 0:
        res2 = solve(cnt+1,nokori-9**nine)
    else:
        res2=10**9

    return min([res1,res2])

print(solve(0,n))
Buggy code:
# -*- coding: utf-8 -*-

def main():
    n = int(input())
    li = dp(n)
    print(li)
    print(li[n])

def dp(n):
    inf=float('inf')
    dp = [inf for i in range(n+1)]
    dp[0] = 0
    money_list = get_money_list()
    for i in range(1, n + 1):
        for pay in money_list:
            if pay > i:
                continue
            else:
                dp[i] = min(dp[i - pay] + 1, dp[i])
    return dp

def create_list(n):
    i = 1
    money_list = []
    while i < 100000:
        money_list.append(i)
        i = i * n
    return money_list

def get_money_list():
    li = create_list(9)
    li.extend(create_list(6))
    li = list(set(li))
    li.sort(key=int, reverse=True)
    return li

if __name__ == '__main__':
    main()

Fixed code:
# -*- coding: utf-8 -*-

def main():
    n = int(input())
    li = dp(n)
    print(li[n])

def dp(n):
    inf=float('inf')
    dp = [inf for i in range(n+1)]
    dp[0] = 0
    money_list = get_money_list()
    for i in range(1, n + 1):
        for pay in money_list:
            if pay > i:
                continue
            else:
                dp[i] = min(dp[i - pay] + 1, dp[i])
    return dp

def create_list(n):
    i = 1
    money_list = []
    while i < 100000:
        money_list.append(i)
        i = i * n
    return money_list

def get_money_list():
    li = create_list(9)
    li.extend(create_list(6))
    li = list(set(li))
    li.sort(key=int, reverse=True)
    return li

if __name__ == '__main__':
    main()
Buggy code:
l_6 = []
_ = 1
while 6**_ < 100000:
    l_6.append(6**_)
    _ += 1
l_6.sort(reverse = 1)

l_9= []
_ = 1
while 9**_ < 100000:
    l_9.append(9**_)
    _ += 1
l_9.sort(reverse = 1)
print(l_6, l_9)

n = int(input())

w = 0
z = []
for i in range(n+1):
    x = i
    for j in range(len(l_6)):
        while l_6[j] <= x:
            x -= l_6[j]
            w += 1
    else:
        w += x
    
    y = n-i
    for k in range(len(l_9)):
        while l_9[k] <= y:
            y -= l_9[k]
            w += 1
    else:
        w += y

    z.append(w)
    w = 0

print(min(z))

Fixed code:
l_6 = []
_ = 1
while 6**_ < 100000:
    l_6.append(6**_)
    _ += 1
l_6.sort(reverse = 1)

l_9= []
_ = 1
while 9**_ < 100000:
    l_9.append(9**_)
    _ += 1
l_9.sort(reverse = 1)

n = int(input())

w = 0
z = []
for i in range(n+1):
    x = i
    for j in range(len(l_6)):
        while l_6[j] <= x:
            x -= l_6[j]
            w += 1
    else:
        w += x
    
    y = n-i
    for k in range(len(l_9)):
        while l_9[k] <= y:
            y -= l_9[k]
            w += 1
    else:
        w += y

    z.append(w)
    w = 0

print(min(z))
Buggy code:
import sys

def f(n):
  X6 = []
  X9 = []
  for i in range(1, 10):
    if n >= 6**i:
      X6.append(6**i)
    if n >= 9**i:
      X9.append(9**i)
  return X6, X9


def main():
  input = sys.stdin.readline
  N = int(input())
  X6, X9 = f(N)
  X = [1] + X6 + X9
  dp = [0 for _ in range(N+1)]
  for i in range(1, N+1):
    can = []
    for x in X:
      can.append(dp[i-x] + 1)
    dp[i] = min(can)
  print(dp[N])

if __name__ == '__main__':
  main()

Fixed code:
import sys

def f(n):
  X6 = []
  X9 = []
  for i in range(1, 10):
    if n >= 6**i:
      X6.append(6**i)
    if n >= 9**i:
      X9.append(9**i)
  return X6, X9


def main():
  input = sys.stdin.readline
  N = int(input())
  dp = [0 for _ in range(N+1)]
  for i in range(1, N+1):
    can = []
    X6, X9 = f(i)
    X = [1] + X6 + X9
    for x in X:
      can.append(dp[i-x] + 1)
    dp[i] = min(can)
  print(dp[N])

if __name__ == '__main__':
  main()
Buggy code:
n_max = 100000

bs = [(6 ** i, 6) for i in range (1, 10)]
bs.extend([(9 ** i, 9) for i in range (1, 10)])
bs = list(sorted(filter(lambda x: x[0] <= n_max, bs)))
bms = []
s = 5
for b, i in bs:
    s += b * (i - 1)
    bms.append((b, i, s))

#print(bs)
#print(bms, len(bms))

#m = 44852
m = int(input())

stack = [(m, 0, len(bms) - 1)]
#print("search start!")
result = 10000
while stack:
    m, n, bms_i = stack.pop()
    steps += 1
    b, i, s = bms[bms_i]
    #print(m, n, bms_i, b, i, s)

    if n > result:
        #print("skip!", m, n, bms_i)
        continue
    if m > s:
        continue
    if bms_i < 0:
        if m <= 6 and m + n < result:
            result = m + n
        #    print('get result!', result)
        continue

    for j in range(i):
        next_m = m - b * j
        if next_m >= 0 and n + j < result:
            stack.append((next_m, n + j, bms_i - 1))

print(result)


Fixed code:
n_max = 100000

bs = [(6 ** i, 6) for i in range (1, 10)]
bs.extend([(9 ** i, 9) for i in range (1, 10)])
bs = list(sorted(filter(lambda x: x[0] <= n_max, bs)))
bms = []
s = 5
for b, i in bs:
    s += b * (i - 1)
    bms.append((b, i, s))

#print(bs)
#print(bms, len(bms))

#m = 44852
m = int(input())

stack = [(m, 0, len(bms) - 1)]
#print("search start!")
result = 10000
while stack:
    m, n, bms_i = stack.pop()
    b, i, s = bms[bms_i]
    #print(m, n, bms_i, b, i, s)

    if n > result:
        #print("skip!", m, n, bms_i)
        continue
    if m > s:
        continue
    if bms_i < 0:
        if m <= 6 and m + n < result:
            result = m + n
        #    print('get result!', result)
        continue

    for j in range(i):
        next_m = m - b * j
        if next_m >= 0 and n + j < result:
            stack.append((next_m, n + j, bms_i - 1))

print(result)
Buggy code:
import bisect as bi

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

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))


print(s69(int(input())))

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))


print(s69(int(input())))
Buggy code:
# -*- coding: utf-8 -*-

N = int(input())

ans = N
for i in range(N // 9 + 1):
    nine = i * 9
    six = N - nine
    tmp_ans = 0
    print(nine, six)
    while nine > 0:
        tmp_ans += nine % 9
        nine = nine // 9
    while six > 0:
        tmp_ans += six % 6
        six = six // 6
    ans = min(tmp_ans, ans)

print(ans)


Fixed code:
# -*- coding: utf-8 -*-

N = int(input())

ans = N
for i in range(N // 9 + 1):
    nine = i * 9
    six = N - nine
    tmp_ans = 0
    while nine > 0:
        tmp_ans += nine % 9
        nine = nine // 9
    while six > 0:
        tmp_ans += six % 6
        six = six // 6
    ans = min(tmp_ans, ans)

print(ans)
Buggy code:
N=int(input())
dp=[10**9 for i in range(N)]
dp[0]=0
for i in range(N+1):
    p=1
    while(1<=i):
        dp[i]=min(dp[i],dp[i-p]+1)
        p*=6
    p=1
    while(1<=i):
        dp[i]=min(dp[i],dp[i-p]+1)
        p*=9

print(dp[-1])

Fixed code:
N=int(input())
dp=[10**9 for i in range(N+1)]
dp[0]=0
for i in range(N+1):
    p=1
    while(p<=i):
        dp[i]=min(dp[i],dp[i-p]+1)
        p*=6
    p=1
    while(p<=i):
        dp[i]=min(dp[i],dp[i-p]+1)
        p*=9

print(dp[-1])
Buggy code:
%
n = int(input())

def func(n, i):
    ans = 0
    while  n > 0:
        ans += n % i
        n // = i
    return ans

b = n
for i in range(n+1):
    tmp = func(i, 6) + func(n-1, 9)
    b = min(tmp, b)

print(b)

Fixed code:
n = int(input())
def func(n, i):
    ans = 0
    while n>0:
        ans += n%i
        n //= i
    return ans
b=n
for i in range(n+1):
    tmp = func(i, 6) + func(n-i, 9)
    b = min(tmp, b)
print(b)
Buggy code:
n=int(input())
a=n
for i in range(n+1):
  ni,si=i,n-i
  m=0
  while ni!=0:m+=ni%6;ni//=6
  while si!=0:m+=si%6;si//=6
  a=min(a,m)
print(a)

Fixed code:
n=int(input())
a=n
for i in range(n+1):
  ni,si=i,n-i
  m=0
  while ni!=0:m+=ni%9;ni//=9
  while si!=0:m+=si%6;si//=6
  a=min(a,m)
print(a)
Buggy code:
INF = 10 ** 20
 
N = int(input())
coin_list = [1] + [6**i for i in range(1, 7)] + [9**i for i in range(1, 6)]
dp = [INF]*(N+1)
dp[0] = 0

for i in range(coin,N+1):
    for coin in coin_list:
        dp[i] = min(dp[i], dp[i-coin]+1)
 
print(dp[N])

Fixed code:
INF = 10 ** 20
 
N = int(input())
coin_list = [1] + [6**i for i in range(1, 7)] + [9**i for i in range(1, 6)]
dp = [INF]*(N+1)
dp[0] = 0
 
for amount in range(1,N+1):
	for coin in coin_list:
	    if amount-coin >= 0: dp[amount] = min(dp[amount], dp[amount-coin]+1)
 
print(dp[N])
Buggy code:
N = int(input())
DP = [100000000] * (N+1)
DP[0] = 0
for i in range (N):
    DP[i + 1] = DP[i] + 1
    for j in range (100):
        if 6**j <= i + 1:
            DP[i + 1] = min(DP[i + 1],DP[i + 1 - 6**j] + 1)
    for j in range (100):
        if 9**j <= i + 1:
            DP[i + 1] = min(DP[i + 1],DP[i + 1 - 9**j] + 1)
print(DP[N])

Fixed code:
N = int(input())
DP = [100000000] * (N+1)
DP[0] = 0
for i in range (N):
    DP[i + 1] = DP[i] + 1
    for j in range (8):
        if 6**j <= i + 1:
            DP[i + 1] = min(DP[i + 1],DP[i + 1 - 6**j] + 1)
    for j in range (8):
        if 9**j <= i + 1:
            DP[i + 1] = min(DP[i + 1],DP[i + 1 - 9**j] + 1)
print(DP[N])
Buggy code:
INF = 10 ** 20

N = int(input())
coin_list = [1] + [6**i for i in range(1, 7)] + [9**i for i in range(1, 6)]
dp = [INF]*(W+1)
dp[0] = 0
 
for coin in coin_list:
    for i in range(coin,W+1):
        dp[i] = min(dp[i], dp[i-coin]+1)
 
print(dp[W])

Fixed code:
INF = 10 ** 20

N = int(input())
coin_list = [1] + [6**i for i in range(1, 7)] + [9**i for i in range(1, 6)]
dp = [INF]*(N+1)
dp[0] = 0
 
for coin in coin_list:
    for i in range(coin,N+1):
        dp[i] = min(dp[i], dp[i-coin]+1)
 
print(dp[N])
Buggy code:
import sys
import itertools
# import numpy as np
import time
import math
import heapq
from collections import defaultdict
sys.setrecursionlimit(10 ** 7)
 
INF = 10 ** 18
MOD = 10 ** 9 + 7
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

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

coins = [(9 ** i) for i in range(1, 7)] + [(6 ** i) for i in range(1, 8)] + [1]
print(coins)
dp = [INF] * (N + 1)
dp[0] = 0
for i in range(len(coins)):
    for j in range(N + 1):
        if j + coins[i] > N:
            continue
        dp[j + coins[i]] = min(dp[j + coins[i]], dp[j] + 1)
print(dp[N])


Fixed code:
import sys
import itertools
# import numpy as np
import time
import math
import heapq
from collections import defaultdict
sys.setrecursionlimit(10 ** 7)
 
INF = 10 ** 18
MOD = 10 ** 9 + 7
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

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

coins = [(9 ** i) for i in range(1, 7)] + [(6 ** i) for i in range(1, 8)] + [1]
dp = [INF] * (N + 1)
dp[0] = 0
for i in range(len(coins)):
    for j in range(N + 1):
        if j + coins[i] > N:
            continue
        dp[j + coins[i]] = min(dp[j + coins[i]], dp[j] + 1)
print(dp[N])
Buggy code:
n = int(input())
def f(x):
  ans=0
  while x >0:
    ans+=x%6
    x = x//6
  return ans
def g(x):
  ans=0
  while x >0:
    ans+=x%9
    x = x//9
  return ans
ans = n
for i in range(n+1):
  ans = min(ans,f(n-i),g(i))
print(ans)



Fixed code:
n=int(input())
def f(x):
    ans=0
    while x>0:
        ans+=x%6
        x=x//6
    return ans
def g(x):
    ans=0
    while x>0:
        ans+=x%9
        x=x//9
    return ans
ans=n
for i in range(n+1): 
  ans=min(ans,f(i)+g(n-i))
print(ans)
Buggy code:
wt = int(input())
w = [1]
for i in range(7):
    w.append(6 ** (i + 1))
for i in range(5):
    w.append(9 ** (i + 1))
print(w)
n = len(w)
dp = [[float("inf") for i in range(wt + 1)] for j in range(n + 1)]
dp[0][0] = 0
for i in range(n):
    for j in range(wt + 1):
        if j >= w[i]:
            dp[i + 1][j] = min(dp[i + 1][j - w[i]] + 1, dp[i][j])
        else:
            dp[i + 1][j] = dp[i][j]
print(dp[n][wt])


Fixed code:
wt = int(input())
w = [1]
for i in range(7):
    w.append(6 ** (i + 1))
for i in range(5):
    w.append(9 ** (i + 1))
n = len(w)
dp = [[float("inf") for i in range(wt + 1)] for j in range(n + 1)]
dp[0][0] = 0
for i in range(n):
    for j in range(wt + 1):
        if j >= w[i]:
            dp[i + 1][j] = min(dp[i + 1][j - w[i]] + 1, dp[i][j])
        else:
            dp[i + 1][j] = dp[i][j]
print(dp[n][wt])
Buggy code:
N = int(input())
six = []
i = 6
while i <= 100000:
    six.append(i)
    i *= 6
six.reverse()
nine = []
i = 9
while i <= 100000:
    nine.append(i)
    i *= 9
nine.reverse()
ansmin = 100000
for i in range(1, 1+(N//6)):
    ans = 0
    money = N - 6 * i
    for j in nine:
        ans += money // j
        money = money % j
    ans += money
    money = 6 * i
    for j in six:
        ans += money // j
        money = money % j
    ansmin = min(ansmin, ans)

print(ansmin)


Fixed code:
N = int(input())
six = []
i = 6
while i <= 100000:
    six.append(i)
    i *= 6
six.reverse()
nine = []
i = 9
while i <= 100000:
    nine.append(i)
    i *= 9
nine.reverse()
ansmin = 100000
for i in range(1+(N//6)):
    ans = 0
    money = N - 6 * i
    for j in nine:
        ans += money // j
        money = money % j
    ans += money
    money = 6 * i
    for j in six:
        ans += money // j
        money = money % j
    ansmin = min(ansmin, ans)
if ansmin == 100000:
    ansmin = N
print(ansmin)
Buggy code:
import sys

input = sys.stdin.readline

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

yen = [6 ** i for i in range(1, 8) if 6 ** i <= n]
yen += [9 ** i for i in range(1, 7) if 9 ** i <= n]

for i in range(n+1):
    for j in yen:
        if i - j >= 0:
            dp[i] = min(dp[i], dp[i - j] + 1)

dp[-1]

Fixed code:
import sys

input = sys.stdin.readline

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

yen = [6 ** i for i in range(1, 8) if 6 ** i <= n]
yen += [9 ** i for i in range(1, 7) if 9 ** i <= n]

for i in range(n+1):
    for j in yen:
        if i - j >= 0:
            dp[i] = min(dp[i], dp[i - j] + 1)

print(dp[-1])
Buggy code:
N = int(input())
dp = [0] * (N + 1)
dp[0] = 0
print(dp)
for i in range(1, N + 1):
    cnt = i
    for j in range(1, 7):
        q = 6 ** j
        if i >= q:
            cnt = min(cnt, dp[i - q] + 1)
            print(i,cnt)
    for j in range(1, 6):
        q = 9 ** j
        if i >= q:
            cnt = min(cnt, dp[i - q] + 1)
    dp[i] = cnt
print(dp)


Fixed code:
N = int(input())
dp = [0] * (N + 1)
dp[0] = 0
for i in range(1, N + 1):
    cnt = i
    for j in range(1, 7):
        q = 6 ** j
        if i >= q:
            cnt = min(cnt, dp[i - q] + 1)
    for j in range(1, 6):
        q = 9 ** j
        if i >= q:
            cnt = min(cnt, dp[i - q] + 1)
    dp[i] = cnt
print(dp[N])
Buggy code:
n=int(input())
dp=[i for i in range(n+1)]
k=0
lw=[6,9]
for w in lw:
    while w**k<=n:
        k+=1
        q=w**k
        for j in range(n+1-q):
            dp[j+q]=min(dp[j]+1,dp[j+q])
            if j==q*(w-1):
                break
print(dp[n])

Fixed code:
n=int(input())
dp=[i for i in range(n+1)]
lw=[6,9]
for w in lw:
    k=1
    while w**k<=n:
        q=w**k
        for j in range(n+1-q):
            dp[j+q]=min(dp[j]+1,dp[j+q])
        k+=1
print(dp[n])
Buggy code:
def calc(x, base):
    res = 0
    while x:
        x, m = divmod(x, base)
        res += m
    return res

ans = min(calc(i, 6) + calc(N - i, 9) for i in range(N + 1))

print(ans)

Fixed code:
def calc(x, base):
    res = 0
    while x:
        x, m = divmod(x, base)
        res += m
    return res


def main():
    N = int(input())
    ans = min(calc(i, 6) + calc(N - i, 9) for i in range(N + 1))
    print(ans)


main()
Buggy code:
#!/usr/bin/env python3
# import math
n = int(input())

ans = [-1]*(n+1)

ans[0] = 0
for i in range(1, n):
    num = i
    data = ans[i-1]+1
    for j in range(8):
        index = i-6**j
        if index < 0:
            break
        data = min(data, ans[index]+1)
    for j in range(8):
        index = i-9**j
        if index < 0:
            break
        data = min(data, ans[index]+1)
    ans[i] = data
print(ans)


Fixed code:
#!/usr/bin/env python3
# import math
n = int(input())

ans = [-1]*(n+1)

ans[0] = 0
for i in range(1, n+1):
    num = i
    data = ans[i-1]+1
    for j in range(8):
        index = i-6**j
        if index < 0:
            break
        data = min(data, ans[index]+1)
    for j in range(8):
        index = i-9**j
        if index < 0:
            break
        data = min(data, ans[index]+1)
    ans[i] = data
print(ans[-1])
Buggy code:
N=int(input());t=[0]+[N]*N
for i in range(2,N+1):
 x,a,b=t[i-1],6,9
 while a<=i:x=min(x,t[i-a],t[i-b]if b<=i else N);a*=6;b*=9
 t[i]=x+1
print(t[N])

Fixed code:
N=int(input());t=[0]+[N]*N
for i in range(1,N+1):
 x,a,b=t[i-1],6,9
 while a<=i:x=min(x,t[i-a],t[i-b]if b<=i else N);a*=6;b*=9
 t[i]=x+1
print(t[N])
Buggy code:
N=int(input())
ans=N
for i in range(N+1):
    j=N-i
    cnt=0
    while i>0:
        cnt+=i%6
        i//=6
    print(cnt,j)
    while j>0:
        cnt+=j%9
        j//=9
    print(i,cnt)
    ans=min(ans,cnt)
print(ans)

Fixed code:
N=int(input())
ans=N
for i in range(N+1):
    j=N-i
    cnt=0
    while i>0:
        cnt+=i%6
        i//=6
    while j>0:
        cnt+=j%9
        j//=9
    ans=min(ans,cnt)
print(ans)
Buggy code:
n = int(input())

min_cnt = float('inf')
for i in range(n//6+1):
  cnt = 0
  t = i
  while t>6:
	cnt += t%6
  	t //= 6
  cnt += t
  
  for j in range((n-6*i)//9+1):
    t = j
    while t>9:
      cnt += t%9
      t //= 9
    cnt += t
    cnt += (n-6*i-9*j)
    if cnt < min_cnt:
      min_cnt = cnt
print(min_cnt)


Fixed code:
n = int(input())

min_cnt = float('inf')
for i in range(0, n+1, 9):
    cnt = 0
    t = i
    while t >= 9:
        cnt += t % 9
        t //= 9
    cnt += t

    t = (n-i)
    while t >= 1:
        cnt += t % 6
        t //= 6
    cnt += t

    if cnt < min_cnt:
        min_cnt = cnt
print(min_cnt)
Buggy code:
N = int(input())
wd = []
for i in range(1, 7):
    wd.append(6**i)
for i in range(1, 6):
    wd.append(9**i)
wd.append(1)

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

for i in range(len(wd)):
    for j in range(i, N+1):
        dp[j] = min(dp[j], dp[j-i]+1)

print(dp[N])

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

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

for i in wd:
    for j in range(i, N+1):
        dp[j] = min(dp[j], dp[j-i]+1)

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

res = 100000

for i in range(N+1):
  t = i
  cc = 0
  while t>0:
    cc += t%6
    t = int(t/6)
  t = N-i
  while t>0:
    cc += t%9
    t = int(t/9)
  if res > cc:
    res = cc

print(cc)
  

Fixed code:
N = int(input())

res = 100000

for i in range(N+1):
  cc = 0
  t = i
  while t>0:
    cc += t%6
    t = int(t/6)
  t = N-i
  while t>0:
    cc += t%9
    t = int(t/9)
  if res > cc:
    res = cc

print(res)