Problem: A positive integer number n is written on a blackboard. It consists of not more than 105 digits. You have to transform it into a beautiful number by erasing some of the digits, and you want to erase as few digits as possible.

The number is called beautiful if it consists of at least one digit, doesn't have leading zeroes and is a multiple of 3. For example, 0, 99, 10110 are beautiful numbers, and 00, 03, 122 are not.

Write a program which for the given n will find a beautiful number such that n can be transformed into this number by erasing as few digits as possible. You can erase an arbitraty set of digits. For example, they don't have to go one after another in the number n.

If it's impossible to obtain a beautiful number, print -1. If there are multiple answers, print any of them.

Input

The first line of input contains n — a positive integer number without leading zeroes (1 ≤ n < 10100000).

Output

Print one number — any beautiful number obtained by erasing as few as possible digits. If there is no answer, print  - 1.

Examples

Input

1033


Output

33


Input

10


Output

0


Input

11


Output

-1

Note

In the first example it is enough to erase only the first digit to obtain a multiple of 3. But if we erase the first digit, then we obtain a number with a leading zero. So the minimum number of digits to be erased is two.

Solution (in PYTHON3):

Solution:
#  http://codeforces.com/contest/792/problem/C

def remove_1_remainder(num, num_sum):
    dig_idx = len(num) - 1
    to_remove = []
    found = True
    while num_sum % 3 != 0:
        if dig_idx < 0 or len(num) - len(to_remove) == 1:
            found = False
            break
        curr_num = int(num[dig_idx])
        if curr_num % 3 == 1:
            to_remove.append(dig_idx)
            num_sum -= curr_num
        dig_idx -= 1

    return to_remove, found

def remove_2_remainder(num, num_sum):
    dig_idx = len(num) - 1
    to_remove = []
    found = True
    while num_sum % 3 != 0:
        if dig_idx < 0 or len(num) - len(to_remove) == 1:
            found = False
            break
        curr_num = int(num[dig_idx])
        if curr_num % 3 == 2:
            to_remove.append(dig_idx)
            num_sum -= curr_num
        dig_idx -= 1

    return to_remove, found


def rebuild_string(num, indices):
    new_str = ''
    indices = set(indices)

    for idx in range(len(num)):
        if idx in indices:
            continue
        new_str += num[idx]

    while len(new_str) != 0 and new_str[0] == '0':
        if new_str == '0':
            return new_str
        new_str = new_str[1:]

    return new_str


num = input()
num_sum = sum(int(p) for p in num)

ops = 0
dig_idx = len(num) - 1

remainder = num_sum % 3
to_print = None
if remainder == 0:
    to_print = num
else:
    if len(num) == 1:
        to_print = -1
    else:
        if remainder == 1:
            idx_removed, is_valid = remove_1_remainder(num, num_sum)
            idx_removed_2, is_valid_2 = remove_2_remainder(num, num_sum)
            if not is_valid and not is_valid_2:
                to_print = -1
            elif is_valid and is_valid_2:
                # Find the better of the two
                str_1, str_2 = rebuild_string(num, idx_removed), rebuild_string(num, idx_removed_2)
                to_print = str_1 if len(str_1) > len(str_2) else str_2
            elif is_valid:
                to_print = rebuild_string(num, idx_removed)
            else:
                to_print = rebuild_string(num, idx_removed_2)
            # idx_removed, is_valid = remove_1_remainder(num, num_sum)
            # if not is_valid:
            #     to_print = -1
            # else:
            #     to_print = rebuild_string(num, idx_removed)
        elif remainder == 2:
            idx_removed, is_valid = remove_1_remainder(num, num_sum)
            idx_removed_2, is_valid_2 = remove_2_remainder(num, num_sum)
            if not is_valid and not is_valid_2:
                to_print = -1
            elif is_valid and is_valid_2:
                # Find the better of the two
                str_1, str_2 = rebuild_string(num, idx_removed), rebuild_string(num, idx_removed_2)
                to_print = str_1 if len(str_1) > len(str_2) else str_2
            elif is_valid:
                to_print = rebuild_string(num, idx_removed)
            else:
                to_print = rebuild_string(num, idx_removed_2)

if to_print is None or (isinstance(to_print, str) and len(to_print) > 1 and to_print[0] == '0'):
    raise Exception()
print(to_print)