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

array = []
for line in sys.stdin:
    array.append(map(int, line.split(' ')))

for a, b in array:
    digit = 0
    c = a + b
    while c > 0:
        c = int(c / 10)
        digit = digit + 1
    
    print(digit)