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 i,j,k,l;
	
	while(1){
		scanf("%d", &i);
		if(i == '\0') break;
		scanf("%d", &j);
		
		l = 0;
		for(k = i + j; k != 0; k /= 10){
			l++;
		}
		
		printf("%d\n", l);
	}
	
	return 0;
}