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>
#include<math.h>
int main()
{
	int a, b;
	int i;
	while (1)
	{
		if (scanf("%d",&a))
		{
			scanf("%d", &b);
			i = 0;
			while (pow(10,i)<a+b)
			{
				i++;
			}
			printf("%d", i - 1);
		}
else
break;
	}
	return 0;
}