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;
	int x;
	int i=1;
	for (;;)
	{
		a=0;
		b=0;
		c=0;
		x=0;
		i=1;
		scanf("%d%d", &a, &b);
		c=a+b;
    	x=c;
		for (;;)
		{
			x=x/10;
			if (x!=0)
			{
				i=i+1;
			}
			if (x==0)
			{
				break;
			}
		}
		printf("%d\n", i);
	}
	return 0;
}