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 JAVA (judge verdict: Wrong Answer)

import java.io.BufferedReader;
import java.io.InputStreamReader;

class Main {

    public static void main(String[] args) throws Exception {

    	BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    	String[] input = br.readLine().split("\\s");

    	int a = Integer.parseInt(input[0]);
    	int b = Integer.parseInt(input[0]);
    	int sum = a + b;
    	String str = String.valueOf(sum);

    	System.out.println(str.length());

    }
}