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, c, x=0;


	while (scanf("%d %d", &a, &b)) {



		c = a + b;
		x = 0;

		while (c > 0){
			c = c / 10;
			x++;
		}

		printf("%d\n", x);
	}
	return 0;

}