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: Time Limit Exceeded)

while True:
    inNums = input().strip().split()
    a = int(inNums[0])
    b = int(inNums[1])
    temp = a+b
    x = 0
    digitNum = 0
    while temp // 10**x > 0:
        digitNum = x
        print(x)
    
    if inNums == None:
        break
    break