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[200],b[200],c[200];
	int i,j=1;
	
	
	for(i=0;i=200;i++)
	{
		scanf("%d %d",&a[i],&b[i]);
		c[i]=a[i]+b[i];
		for(;c[i]<10;j++)
		{
			c[i]/=10;
		}
		c[i]=j;
		j=1;
	}
	
	for(i=0;i<200;i++)
	{
		printf("%d\n",c[i]);
	}
	
	return 0;
}