Buggy python submission (verdict: Time Limit Exceeded):
lists=[]
n=int(input())
nums=0
while nums<=n+1:
    
    
    if nums<6:
        lists.append(nums)
        nums=+1
    elif nums==6 or nums==36 or nums==216 or nums==1296 or nums==7726 or nums==46656:
        lists.append(1)
        nums+=1
    elif nums==9 or nums==81 or nums==729 or nums==6561 or nums==59049:
        lists.append(1)
        nums+=1
    else:
        order6=0
        order9=0
        for k in range(6):
            if 6**(k+1)< nums <6**(k+2):
                order6=k+1
                # nums は6のκ＋1乗までならば考慮に入れても良い
                break
                
            else:
                continue
                
        for j in range(5):
            if 9**(j+1) <nums< 9**(j+2):
                order9=j+1
                #numsは9のｊ＋1乗までならば考慮に入れてもいい
                break
            else:
                continue
                
        add=min(min(lists[n-6**(k)] for k in range(0,order6+1)),min(lists[n-9**(j)] for j in range(0,order9+1)))
        lists.append(add)
        nums+=1
print(lists)

Fixed submission:
lists=[]
emptylists=[]
numbers=int(input())

for nums in range(numbers+3):
    
    if nums<6:
        lists.append(int(nums))
         
    elif nums==6 or nums==36 or nums==216 or nums==1296 or nums==7776 or nums==46656:
        lists.append(1)
        
    elif nums==9 or nums==81 or nums==729 or nums==6561 or nums==59049:
        lists.append(1)
        
    else:
        power6=0
        power9=0
        for k in range(7):
            if 6**(k)< nums <6**(k+1):
                power6=k
                break   
                
        for j in range(6):
            if 9**(j) <nums< 9**(j+1):
                power9=j
                break
        add=min(min(lists[nums-6**(k)]+1 for k in range(0,power6+1)),min(lists[nums-9**(j)]+1 for j in range(0,power9+1)))
        lists.append(add)
print(lists[numbers])

Buggy python submission (verdict: Time Limit Exceeded):
lists=[0 for j in range(1000)]
n=int(input())
nums=0
while nums!=n+1:
    
    
    if nums<6:
        lists[nums]==nums
        nums=+1
    elif nums==6 or nums==36 or nums==216 or nums==1296 or nums==7726 or nums==46656:
        lists[nums]==1
        nums+=1
    elif nums==9 or nums==81 or nums==729 or nums==6561 or nums==59049:
        lists[nums]==1
        nums+=1
    else:
        order6=0
        order9=0
        for k in range(6):
            if 6**(k+1)< nums <6**(k+2):
                order6=k+1
                # nums は6のκ＋1乗までならば考慮に入れても良い
                
                break
            else:
                continue
        for j in range(5):
            if 9**(j+1) <nums< 9**(j+2):
                order9=j+1
                #numsは9のｊ＋1乗までならば考慮に入れてもいい
                
                break
            else:
                continue
        lists[nums]=min(min(lists[nums-6**(k)] for k in range(0,order6+1)),min(lists[nums-9**(j)] for j in range(0,order9+1)))
        nums+=1
        
print(lists[n])

Fixed submission:
lists=[]
emptylists=[]
numbers=int(input())

for nums in range(numbers+3):
    
    if nums<6:
        lists.append(int(nums))
         
    elif nums==6 or nums==36 or nums==216 or nums==1296 or nums==7776 or nums==46656:
        lists.append(1)
        
    elif nums==9 or nums==81 or nums==729 or nums==6561 or nums==59049:
        lists.append(1)
        
    else:
        power6=0
        power9=0
        for k in range(7):
            if 6**(k)< nums <6**(k+1):
                power6=k
                break   
                
        for j in range(6):
            if 9**(j) <nums< 9**(j+1):
                power9=j
                break
        add=min(min(lists[nums-6**(k)]+1 for k in range(0,power6+1)),min(lists[nums-9**(j)]+1 for j in range(0,power9+1)))
        lists.append(add)
print(lists[numbers])