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(void){
  int a,b,x,y;
  while(1){
    scanf("%d%d",&a,&b);
    x=a+b;
    y=0;
    while(1){
      if(x==0)
	break;
      x=x/10;
      y++;
    }
    printf("%d\n",y);
  }
}