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 count;
  int a, b, x, w;

  while(1){
    scanf(" %d %d", &a, &b);
    x = a + b;
    count = 0;
    if(x == 0){
      count = 1;
    }else{
      for(w = x; w != 0; w = w/10){
	count += 1;
      }
    }
    printf("%d\n", count);
  }
  return 0;
}