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)

# coding: utf-8
# Your code here!
while 1:
    try:
        line = input()
        lul = line.split()
        #printlul)
        a = int(lul[0])+int(lul[1])
        print(len(str(a)))
    except:
        break