101141: [AtCoder]ABC114 B - 754
Description
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
, $...$, or9
.
Input
Input is given from Standard Input in the following format:
$S$
Output
Print the minimum possible difference between $X$ and $753$.
Sample Input 1
1234567876
Sample Output 1
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.
Sample Input 2
35753
Sample Output 2
0
If 753
itself can be taken out, the answer is $0$.
Sample Input 3
1111111111
Sample Output 3
642
No matter where $X$ is taken from, $X = 111$, with the difference $753 - 111 = 642$.