P20424 [AtCoder] You are given two non-negative integers L and R.
普及-
题目描述

You are given two non-negative integers L and R.
We will choose two integers i and j such that $L \leq i < j \leq R$.
Find the minimum possible value of $(i \times j) \mbox{ mod } 2019$.

-----Constraints-----
- All values in input are integers.
- $0 \leq L < R \leq 2 \times 10^9$

-----Input-----
Input is given from Standard Input in the following format:
L R

-----Output-----
Print the minimum possible value of $(i \times j) \mbox{ mod } 2019$ when i and j are chosen under the given condition.

-----Sample Input-----
2020 2040

-----Sample Output-----
2

When $(i, j) = (2020, 2021), (i \times j) \mbox{ mod } 2019 = 2$.

输入格式

见题面

输出格式

见题面

样例输入
2020 2040
样例输出
2