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.util.*;
class Main{
	public static void main(String[] args) {
		
		Scanner sc = new Scanner(System.in);
		Main app = new Main();
		System.out.println(app.length(sc.nextInt(),sc.nextInt()));
	}
	
	
	
	int length(int a,int b){
		int ans = 1;
		a += b;
		while(true){
			if(a / 10 > 0){
				ans ++;
				a /=10;
			}else break;
		}
		return ans;
	}
	
	
	
	
	
	
}