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)
{
	long int A, B;
	int count = 10, ketasuu = 1;
	while (scanf("%d %d", &A, &B) != EOF)
	{
		for (ketasuu = 1, count = 10; A + B - count >= 0; ketasuu++)
		{
			count *= 10;
		}
		printf("%d\n", ketasuu);
	}
	return 0;
}