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(void){
	int a,b,wa,answer;
	char itigyou[16];
	while(1){
		answer = 1;
		while((scanf("%d %d",&a,&b)) != EOF){
			wa = a+b;
			while(wa/10 > 0){
				wa /= 10;
				answer++;
			}
		}
		printf("%d\n",answer);
	}
	
	return 0;
}