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 power(int base,int n){
	int i,k=1;
	for(i=0;i<n;i++){
		k*=base;
	}
	return (float)k;
}
main(){
	int a,b,c,d,i=1;
	while(1){
		i=0;
		scanf("%d%d",&a,&b);
		c=a+b;
		if(a<0||b<0)break;
		while(1){
			d=c/power(10,i);
			if(!d)break;
			i++;
		}
		printf("%d\n",i);
	}
}