B - 754

Score : $200$ points

Problem Statement

There is a string $S$ consisting of digits 1, 2, $...$, 9. Lunlun, the Dachshund, will take out three consecutive digits from $S$, treat them as a single integer $X$ and bring it to her master. (She cannot rearrange the digits.)

The master's favorite number is $753$. The closer to this number, the better. What is the minimum possible (absolute) difference between $X$ and $753$?

Constraints

• $S$ is a string of length between $4$ and $10$ (inclusive).
• Each character in $S$ is 1, 2, $...$, or 9.

Input

Input is given from Standard Input in the following format:

$S$

Output

Print the minimum possible difference between $X$ and $753$.

1234567876

34

Taking out the seventh to ninth characters results in $X = 787$, and the difference between this and $753$ is $787 - 753 = 34$. The difference cannot be made smaller, no matter where $X$ is taken from.

Note that the digits cannot be rearranged. For example, taking out 567 and rearranging it to 765 is not allowed.

We cannot take out three digits that are not consecutive from $S$, either. For example, taking out the seventh digit 7, the ninth digit 7 and the tenth digit 6 to obtain 776 is not allowed.

35753

0

If 753 itself can be taken out, the answer is $0$.

1111111111

642

No matter where $X$ is taken from, $X = 111$, with the difference $753 - 111 = 642$.