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,k;
	int i = 0;
	while (scanf("%d %d",&a,&b)!=EOF) {
		k = 1;
		while ((a+b) / 10 != 0) {
			k++;
		}
		printf("%d\n", k);
		i++;
	}	
}