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 C (judge verdict: Time Limit Exceeded)

#include<stdio.h>
int main(){
	int a,b,c,d,count=1;
		while(1){
			count=1;
			scanf("%d",&a);
			scanf("%d",&b);
			c=a+b;
			if(c>=10){
				count++;
				for(d=c/10;d>=10;){
					d=d/10;
					count++;
				}	
			}
			printf("%d\n",count);
		}
		return 0;
}