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 Go (1.6) (judge verdict: Accepted)

package main

import (
	"bufio"
	"fmt"
	"os"
	"strconv"
	"strings"
)

var sc = bufio.NewScanner(os.Stdin)

func main() {
	sc.Scan()
	numString := strings.Split(sc.Text(), " ")

	l, _ := strconv.Atoi(numString[0])
	r, _ := strconv.Atoi(numString[1])

	var flg bool
	var rem, min int
	var count int
	for i := l; i < r; i++ {
		if i%2019 == 0 {
			min = 0
			break
		}
		for j := i + 1; j <= r; j++ {
			if flg == false {
				min = i * j
				flg = true
			}
			rem = (i * j) % 2019
			if rem < min {
				min = rem
			}
			count++
			if count > 2019 {
				count = 0
				break
			}
		}
	}
	fmt.Println(min)
}