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>
#include <string.h>
#include <ctype.h>
#include <stdlib.h>
#include <math.h>


/**------------ SUB ROUTIONE -------------*/
/**------------ SUB ROUTIONE -------------*/
int main()
{
	int i,a,b,ans;
	char inp[96];
	char wk[16];

	/**--init --**/

	/**--input--**/
	for (i=0 ; ; i++) {
		gets(inp);
		if (strlen(inp)==0) {
			break;
		}
		sscanf(inp,"%d %d",&a,&b);

		ans = a + b;
		sprintf(wk,"%d",ans);
		printf("%d\n",strlen(wk));
	}
	return 0;
}