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>
#include <math.h>

void main(){
	int a, b;

	while(scanf("%d %d",&a, &b)){
		printf("%d\n",(int)log10(a + b) + 1);
		scanf("%d %d",&a, &b);
	}
	return 0;
}