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,b,s,i=1,d=0;
	while(~scanf("%d %d",&a,&b)){
		s = a+b;
		while(1){
			i *= 10;
			d++;
			if(i > s) break;
		}
		printf("%d",d);
	}
	return 0;
}