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 JavaScript (judge verdict: Accepted)

var input = require("fs").readFileSync("/dev/stdin", "utf8").trim().split('\n');
input.forEach(function(ab) {
  console.log((ab.split(' ').reduce(function(m, e) {return +e + m}, 0) + "").length);
});