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 num,a,b,digits,i;
	i=0;
	digits=1;
	while(scanf("%d %d",&a,&b)!=EOF&&i<200){
		num=a+b;
		while(num/10!=0)
			digits++;
		printf("%d\n",digits);
		i++;
	}
	return 0;
}