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.*;
class Main {
	public static void main(String[] args){
		Scanner sc = new Scanner(System.in);
		while(sc.hasNextInt()){
			int a = sc.nextInt(); 
			int b = sc.nextInt();
			int ans=a+b;
			int count=0;
			while(ans>=1){
				ans=ans/10;
				count++;
			}
			System.out.println(count);
		}
	}
}