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: Accepted)

import java.util.Scanner;

class Main{



    public static void main(String[] a){


        Scanner sc = new Scanner(System.in);

        while(sc.hasNext()) {


	        	int z = sc.nextInt();
	        	int y = sc.nextInt();

	        	int ans = z + y;
	        	String ansSt = String.valueOf(ans);
	        	int ansK = ansSt.length();
	        	System.out.println(ansK);

        }

        sc.close();


     }




}