Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())

def prime_factor(n):
    i = 2
    table = []
    while i * i <= n:
        while n % i == 0:
            n //= i
            table.append(i)
        i += 1
    if n > 1:
        table.append(n)
    return table

res = prime_factor(N)

import itertools

#n桁のm値のbitを生成
def bit(n, m):
    bit_list = list(itertools.product([i for i in range(m)], repeat=n))
    return bit_list

bit_list = bit(len(res), 2)
result = 10 ** 7
for b in bit_list:
    tmp1 = 1
    tmp2 = 1
    for i in range(len(res)):
        if b[i] == 0:
            tmp1 *= res[i]
        else:
            tmp2 *= res[i]
            
    result = min(result, max(len(str(tmp1)), len(str(tmp2))))
    
print(result)

Fixed submission:
N = int(input())

def prime_factor(n):
    i = 2
    table = []
    while i * i <= n:
        while n % i == 0:
            n //= i
            table.append(i)
        i += 1
    if n > 1:
        table.append(n)
    return table

res = prime_factor(N)

result = 10 ** 10
for i in range(1, N+1):
    if N%i == 0:
        result = min(result, max(len(str(i)), len(str(N//i))))
    if i*i > N:
        break


print(result)

Buggy python submission (verdict: Runtime Error):
N = int(input())

def prime_factor(n):
    i = 2
    table = [1]
    while i * i <= n:
        while n % i == 0:
            n //= i
            table.append(i)
        i += 1
    if n > 1:
        table.append(n)
    return table

res = prime_factor(N)

tmp = 1
tmp2 = N
for i in range(len(res)):
    if len(str(tmp)) >= len(str(tmp2)):
        break
    count = tmp2
    tmp2 = tmp2//res[i]
    tmp *= res[i]
    
print(len(str(count)))

Fixed submission:
N = int(input())

def prime_factor(n):
    i = 2
    table = []
    while i * i <= n:
        while n % i == 0:
            n //= i
            table.append(i)
        i += 1
    if n > 1:
        table.append(n)
    return table

res = prime_factor(N)

result = 10 ** 10
for i in range(1, N+1):
    if N%i == 0:
        result = min(result, max(len(str(i)), len(str(N//i))))
    if i*i > N:
        break


print(result)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
res = 200
tmp = N
for i in range(1, N+1):
    if N%i == 0:
        if max(len(str(i)),len(str(int(N/i)))) < res:
            res = max(len(str(i)),len(str(int(N/i))))
    
    if tmp < N//i:
            break
    tmp = N//i
print(res)

Fixed submission:
N = int(input())

def prime_factor(n):
    i = 2
    table = []
    while i * i <= n:
        while n % i == 0:
            n //= i
            table.append(i)
        i += 1
    if n > 1:
        table.append(n)
    return table

res = prime_factor(N)

result = 10 ** 10
for i in range(1, N+1):
    if N%i == 0:
        result = min(result, max(len(str(i)), len(str(N//i))))
    if i*i > N:
        break


print(result)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
res = 200
tmp = N
for i in range(1, N+1):
    if N%i == 0:
        if max(len(str(i)),len(str(int(N/i)))) < res:
            res = max(len(str(i)),len(str(int(N/i))))
    
    if tmp < N/i:
            break
    tmp = N/i
print(res)

Fixed submission:
N = int(input())

def prime_factor(n):
    i = 2
    table = []
    while i * i <= n:
        while n % i == 0:
            n //= i
            table.append(i)
        i += 1
    if n > 1:
        table.append(n)
    return table

res = prime_factor(N)

result = 10 ** 10
for i in range(1, N+1):
    if N%i == 0:
        result = min(result, max(len(str(i)), len(str(N//i))))
    if i*i > N:
        break


print(result)