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(){
	while(1){
		int a, b;
		scanf("%d %d", &a, &b);
		int sum = a + b;
		int count = 1;
		int compare = 10;
		while(1){
			if(sum < compare){
				break;
			}
			++count;
			compare *= 10;
		}
		printf("%d\n", count);
	}
	return 0;
}