Problem Description

There is a 12-digit decimal number $X$. You only know that the number formed by its last 6 digits is $Y$.

You are also given an integer $Z$. Among all possible $X$, you need to find the minimum value of $\lvert X - Z \rvert$.

Note that $X$, $Y$, and $Z$ have no leading zeros (that is, the most significant digit is not $0$). Also, $X$ must have exactly 12 digits and $Y$ must have exactly 6 digits.

Input Format

The first line contains two integers $Y, Z$.

Output Format

The first line contains one integer, the minimum value of $\lvert X - Z \rvert$.

987654 123456123456

135802

428571 714285

99999714286

Hint

Sample #1 Explanation

Let $X = 123455987654$. The minimum value of $\lvert X - Z \rvert$ can be $135802$.

Sample #2 Explanation

Let $X = 100000428571$. The minimum value of $\lvert X - Z \rvert$ can be $99999714286$.

Constraints

For all testdata: $100000 \leq Y \leq 999999$, $0 \leq Z \leq 10^{12}$.

Translated by ChatGPT 5