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,i=0,u=0,e=0,o,yama[100];
	while(1){
	scanf("%d %d",&a,&i);
		o=a+i;
		for(u=0;o!=0;u++){
			o/=10;
		}
		yama[e]=o;
		e++;
	}
	for(u=0;u<e;u++){
		printf("%d\n",yama[u]);
	}
	return 0;
	
	
}