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: Wrong Answer)

# -*-coding:utf-8-*-

def get_input():
    
    while True:
        try:
            yield "".join(input())
        except EOFError:
            break
                     
if __name__=="__main__":
    array = list(get_input())
    for i in range(len(array)):
        
        temp = array[i].split()
        
        a = int(temp[0])
        b = int(temp[1])

 
                
        ans = a + b
        
        print(ans)