Problem:
Score : 300 points

Problem Statement

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 1

2020 2040

Sample Output 1

2

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

Sample Input 2

4 5

Sample Output 2

20

We have only one choice: (i, j) = (4, 5).

Solution in Python (3.4.3) (judge verdict: Wrong Answer)

L,R=map(int,input().split())
ls=[]
LS=[]
if L-R>=672 or L==0:
  print(0)
else:
  ans=2019
  for i in range(L,R+1):
    for j in range(i+1,R+1):
      if i>=j:
        print(ans)
        exit()
      x=(i*j)%2019
      ans=min(x,ans)