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()
{
	int a,b,ans,total;

	while(1){
		scanf("%d %d",&a,&b);

		total = a + b;
		ans = 1;
		while(total/10 > 0){
			total /= 10;
			ans++;
		}

		printf("%d\n",ans);
	}

	return 0;
}