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 JavaScript (node.js v5.12) (judge verdict: Wrong Answer)

const main = (inputs) => {
  var TW = 2019;
  var L = inputs[0].split(" ")[0]-0;
  var R = inputs[0].split(" ")[1]-0;
  var lmod = L%TW;
  var rmod = R%TW;
  var mods = [];
  for(var i=L;i<=R;i++){
    var val = i%2019;
    mods.push(val);
    if(val == 0) break;
  }
  mods.sort((a,b)=>a-b);
  console.log(mods[0]*mods[1]);
}

main(require('fs').readFileSync('/dev/stdin', 'UTF-8').trim().split("\n"));