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,sum;
	while(1){
		scanf("%d %d",&a,&b);
		sum=a+b;
		if(sum<10) printf("1");
		else if(sum<100) printf("2");
		else if(sum<1000) printf("3");
		else if(sum<10000) printf("4");
		else if(sum<100000) printf("5");
		else if(sum<1000000) printf("6");
		else printf("7");
	}
	return 0;
}