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

divList = []

n = N

while n != 1:
    if n % 2 == 0:
        n = n // 2
        divList.append(2)
        continue
    if n % 3 == 0:
        n = n // 3
        divList.append(3)
        continue

    newN = n
    isFind = False
    for i in range(6, int(n**(0.5) + 2), 6):
        if n % (i - 1) == 0:
            divList.append(i - 1)
            newN = newN // (i - 1)
            isFind = True
        if n % (i + 1) == 0:
            divList.append(i + 1)
            newN = newN // (i + 1)
            isFind = True

        if isFind == True:
            break

    if isFind == False:
        divList.append(n)
        newN = 1
    n = newN

    # print(divList)

# print(divList)

t = [([1], [1])]

for d in divList:
    newT = []
    for ab in t:
        a, b = ab[0], ab[1]
        a_add = a[:]
        a_add.append(d)
        b_add = b[:]
        b_add.append(d)

        newT.append((a, b_add))
        newT.append((a_add, b))
    t = newT

# print(t)

from functools import reduce

a1 = [(reduce(lambda a, b:a * b, ab[0]), reduce(lambda a, b:a * b, ab[1]))
      for ab in t]
# print(a1)


a2 = set([(len(str(ab[0])), len(str(ab[1]))) for ab in a1])

# print(a2)

a3 = [max(ab[0], ab[1]) for ab in a2]

# print(a3)

print(min(a3))


Fixed submission:
N = int(input())


def countDigits(n):
    return len(str(n))


ans = countDigits(N)
A = 1
while A * A <= N:
    if(N % A != 0):
        A += 1
        continue
    B = N // A

    cur = max(countDigits(A), countDigits(B))
    if (ans > cur):
        ans = cur
    A += 1
print(ans)

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

divList = []

n = N

while n != 1:
    if n % 2 == 0:
        n = n // 2
        divList.append(2)
        continue
    if n % 3 == 0:
        n = n // 3
        divList.append(3)
        continue

    newN = n
    isFind = False
    for i in range(6, (n**(1/2)) + 1, 6):
        if n % (i - 1) == 0:
            divList.append(i - 1)
            newN = newN // (i - 1)
            isFind = True
        if n % (i + 1) == 0:
            divList.append(i + 1)
            newN = newN // (i + 1)
            isFind = True

        if isFind == True:
            break

    if isFind == False:
        divList.append(n)
        newN = 1
    n = newN

    # print(divList)

# print(divList)

t = [([1], [1])]

for d in divList:
    newT = []
    for ab in t:
        a, b = ab[0], ab[1]
        a_add = a[:]
        a_add.append(d)
        b_add = b[:]
        b_add.append(d)

        newT.append((a, b_add))
        newT.append((a_add, b))
    t = newT

# print(t)

from functools import reduce

a1 = [(reduce(lambda a, b:a * b, ab[0]), reduce(lambda a, b:a * b, ab[1]))
      for ab in t]
# print(a1)


a2 = set([(len(str(ab[0])), len(str(ab[1]))) for ab in a1])

# print(a2)

a3 = [max(ab[0], ab[1]) for ab in a2]

# print(a3)

print(min(a3))


Fixed submission:
N = int(input())


def countDigits(n):
    return len(str(n))


ans = countDigits(N)
A = 1
while A * A <= N:
    if(N % A != 0):
        A += 1
        continue
    B = N // A

    cur = max(countDigits(A), countDigits(B))
    if (ans > cur):
        ans = cur
    A += 1
print(ans)

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

divList = []

n = N

while n != 1:
    if n % 2 == 0:
        n = n // 2
        divList.append(2)
        continue
    if n % 3 == 0:
        n = n // 3
        divList.append(3)
        continue

    newN = n
    isFind = False
    for i in range(6, n + 1, 6):
        if n % (i - 1) == 0:
            divList.append(i - 1)
            newN = newN // (i - 1)
            isFind = True
        if n % (i + 1) == 0:
            divList.append(i + 1)
            newN = newN // (i + 1)
            isFind = True

        if isFind == True:
            break

    if isFind == False:
        divList.append(n)
        newN = 1
    n = newN

    # print(divList)

# print(divList)

t = [([1], [1])]

for d in divList:
    newT = []
    for ab in t:
        a, b = ab[0], ab[1]
        a_add = a[:]
        a_add.append(d)
        b_add = b[:]
        b_add.append(d)

        newT.append((a, b_add))
        newT.append((a_add, b))
    t = newT

# print(t)

from functools import reduce

a1 = [(reduce(lambda a, b:a * b, ab[0]), reduce(lambda a, b:a * b, ab[1]))
      for ab in t]
# print(a1)


a2 = set([(len(str(ab[0])), len(str(ab[1]))) for ab in a1])

# print(a2)

a3 = [max(ab[0], ab[1]) for ab in a2]

# print(a3)

print(min(a3))


Fixed submission:
N = int(input())


def countDigits(n):
    return len(str(n))


ans = countDigits(N)
A = 1
while A * A <= N:
    if(N % A != 0):
        A += 1
        continue
    B = N // A

    cur = max(countDigits(A), countDigits(B))
    if (ans > cur):
        ans = cur
    A += 1
print(ans)

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

divList = []

n = N

while n != 1:
    div = 1
    for i in range(2, n+1):
        if n % i == 0:
            div = i
            break
    divList.append(div)
    n = int(n / div)
    # print(divList)

# print(divList)

t = [([1], [1])]

for d in divList:
    newT = []
    for ab in t:
        a, b = ab[0], ab[1]
        a_add = a[:]
        a_add.append(d)
        b_add = b[:]
        b_add.append(d)

        newT.append((a, b_add))
        newT.append((a_add, b))
    t = newT

# print(t)

from functools import reduce

a1 = [(reduce(lambda a, b:a * b, ab[0]), reduce(lambda a, b:a * b, ab[1]))
      for ab in t]
# print(a1)


a2 = set([(len(str(ab[0])), len(str(ab[1]))) for ab in a1])

# print(a2)

a3 = [max(ab[0], ab[1]) for ab in a2]

# print(a3)

print(min(a3))


Fixed submission:
N = int(input())


def countDigits(n):
    return len(str(n))


ans = countDigits(N)
A = 1
while A * A <= N:
    if(N % A != 0):
        A += 1
        continue
    B = N // A

    cur = max(countDigits(A), countDigits(B))
    if (ans > cur):
        ans = cur
    A += 1
print(ans)

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

divList = []

n = N

while n != 1:
    div = 1
    for i in range(2, n+1):
        if n % i == 0:
            div = i
            break
    divList.append(div)
    n = int(n / div)
    # print(divList)

# print(divList)

t = [([1], [1])]

for d in divList:
    newT = []
    for ab in t:
        a, b = ab[0], ab[1]
        a_add = a[:]
        a_add.append(d)
        b_add = b[:]
        b_add.append(d)

        newT.append((a, b_add))
        newT.append((a_add, b))
    t = newT

# print(t)

from functools import reduce

a1 = [(reduce(lambda a, b:a * b, ab[0]), reduce(lambda a, b:a * b, ab[1]))
      for ab in t]
# print(a1)


a2 = [(len(str(ab[0])), len(str(ab[1]))) for ab in a1]

# print(a2)

a3 = [max(ab[0], ab[1]) for ab in a2]

# print(a3)

print(min(a3))


Fixed submission:
N = int(input())


def countDigits(n):
    return len(str(n))


ans = countDigits(N)
A = 1
while A * A <= N:
    if(N % A != 0):
        A += 1
        continue
    B = N // A

    cur = max(countDigits(A), countDigits(B))
    if (ans > cur):
        ans = cur
    A += 1
print(ans)