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 x;
	long a, b;
	while(1){
		scanf("%ld %ld", &a, &b);
		if(a + b < 10){
			printf("1\n");
		} else if(a + b < 100){
			printf("2\n");
		} else if(a + b < 1000){
			printf("3\n");
		} else if(a + b < 10000){
			printf("4\n");
		} else if(a + b < 100000){
			printf("5\n");
		} else if(a + b < 1000000){
			printf("6\n");
		} else if(a + b < 10000000){
			printf("7\n");
		}
	}
	return 0;
}