P16342 [USTC Guochuang Cup Junior 2026] Multiple Adjustment
Background
Subtask 0 uses unofficial testdata, and Subtask 1 uses official testdata.
Description
Xiaokeke has two positive integers $a, b$.
One operation is defined as: choose one of $a$ and $b$, and change it by $+1$ or $-1$. Note that you must always ensure $a \ge 1$ and $b \ge 1$.
Now Xiaokeke wants to make $a$ a multiple of $b$ using some number of operations. Please tell him the minimum number of operations needed.
Input Format
One line with two positive integers $a, b$.
Output Format
One line with one number, representing the minimum number of operations needed to make $a$ a multiple of $b$.
Explanation/Hint
#### Sample Explanation
You can do $a \leftarrow a + 1$ and $b \leftarrow b - 1$. Then $a = 10$ and $b = 5$, which satisfies the condition. The number of operations is $2$. It can be proven that no smaller number of operations exists.
#### Other Sample Notes
* **Samples 2 to 6**: See `adjust/adjust*.in` and `adjust/adjust*.ans` in the contestant directory.
#### Constraints
For all data, it is guaranteed that:
- $1 \le a \le 10^{18}$,
- $1 \le b \le 10^6$,
- $a, b$ are both positive integers.
| Test Point ID | $a \le$ | $b \le$ |
| :---: | :---: | :---: |
| $1 \sim 2$ | $10^{18}$ | $1$ |
| $3$ | $10$ | $10$ |
| $4 \sim 5$ | $4000$ | $4000$ |
| $6 \sim 7$ | $10^6$ | $10^6$ |
| $8 \sim 10$ | $10^{18}$ | $10^6$ |
Translated by ChatGPT 5