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 i=0;
  int num=0,sum,digi=0;
  int a[100]={0},b[100]={0};

  while(1){
    scanf("%d%d",&a[i],&b[i]);
    if(a[i]==EOF){
      break;
    }
    sum=a[i]+b[i];
    while(sum!=0){
      digi++;
      sum/=10;
    }
    printf("%d\n",digi);
    digi=0;
  }
  return 0;
}