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,c;
   for(;;){
      scanf("%d%d",&a,&b);
   c = a + b;
   if(c<10)
      printf("1\n");
   else if(c<100)
      printf("2\n");
   else if(c<1000)
      printf("3\n");
   else if(c<10000)
      printf("4\n");
   else if(c<100000)
      printf("5\n");
   else if(c<1000000)
      printf("6\n");
   else
      printf("7\n");
   }
   return 0;
   }