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,sum,keta=1;
	
	scanf("%d%d",&a,&b);
	while(a!=EOF){
		keta=1;
		sum=a+b;
	

	while (sum/10!=0){
		sum=sum/10;
		keta=keta+1;
	}
	printf("%d\n",keta);
	scanf("%d%d",&a,&b);
	}
	return 0;
}