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 a=0;
int b=0;
int c=0;
int m,i;
int main(){
	while(1){
		m = scanf("%d%d",&a,&b);
		printf("%d%d\n",a,m);
		if(m == 1) return 0;
		c = a+b;
		i = 0;
		if(c==0){
			i=1;
			printf("0\n");
			continue;
		}
		while(1){
			if(c==0)break;
			c = c / 10;
			i++;
			
		}
		printf("%d\n",i);
	}
	return 0;
}