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[]){
	String str;
	try{
	    InputStreamReader is = new InputStreamReader(System.in);
	    BufferedReader br = new BufferedReader(is);
	    str = br.readLine();
	    String[] strary = str.split(" ");
	    int n1 = Integer.parseInt(strary[0]);
	    int n2 = Integer.parseInt(strary[1]);
	    int sum = n1 + n2;
	    String s = Integer.toString(sum);
	    System.out.println((s.length()));
	}
	catch(Exception e){
	    System.out.printf("error");
	}
    }
}