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)

/****************************************

                 AOJ 0002

****************************************/

#include<stdio.h>

#define  NUM  100

int main(void)
{
  int num = 0;
  unsigned long a;
  unsigned long b;
  unsigned long c;

  while (1) {

	scanf("%d", &a);
	scanf("%d", &b);

	c = a + b;

	while (1) {

	  if (c == 0)
		break;

	  c = c / 10;

	  num++;
	}

	printf("%d\n", num);

  }
}