Problem:
Digit Number

Write a program which computes the digit number of sum of two integers a and b.

Input

There are several test cases. Each test case consists of two non-negative integers a and b which are separeted by a space in a line. The input terminates with EOF.

Constraints

0 ≤ a, b ≤ 1,000,000

The number of datasets ≤ 200

Output

Print the number of digits of a + b for each data set.

Sample Input

5 7
1 99
1000 999

Output for the Sample Input

2
3
4

Solution in Python3 (judge verdict: Accepted)

import sys

def log10(num):
    log = 0
    while num > 0:
        log += 1
        num //= 10
    return log

for line in sys.stdin:
    a, b = map(int, line.split())
    print(log10(a + b) if a + b else 1)