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){
int a;
int b;
Scanner sc=new Scanner(System.in);
while(sc.hasNextInt()){
a=sc.nextInt();
b=sc.nextInt();
int d=(int)Math.log10(a+b);
System.out.println(d);
}
}
}