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 (Python):

import sys
from collections.abc import Iterable
from math import *
from itertools import *
from collections import *
from functools import *
from operator import *
try:
    from math import gcd
except Exception:
    from fractions import gcd

MOD = 2019  

def solve(L: int, R: int):
    R = min(R, L + MOD)

    ret = 2020
    for i in range(L, R + 1):
        for j in range(L, R + 1):
            if j <= i:
                continue
            tmp = ((i % MOD) * (j % MOD)) % MOD
            ret= min(ret, tmp)
    return ret


def main():
    def iterate_tokens():
        for line in sys.stdin:
            for word in line.split():
                yield word
    tokens = iterate_tokens()
    L = int(next(tokens))  
    R = int(next(tokens))  
    result = solve(L, R)
    if isinstance(result, Iterable) and not isinstance(result, str):
        result = '\n'.join([str(v) for v in result])
    print(result)

if __name__ == '__main__':
    main()

Solution (Python):
L, R = [int(x) for x in input().split()]


res = 2018
for i in range(L, R + 1):
    for j in range(i + 1, R + 1):

        tmp = (i * j) % 2019
        if tmp == 0:
            print(0)
            exit()
        if tmp < res:
            res = tmp

print(res)

Solution (Python):
import copy
import sys
from bisect import bisect_left, bisect_right
from collections import ChainMap, Counter, deque, defaultdict, namedtuple
from fractions import gcd
from heapq import heappop, heappush
from itertools import accumulate
from math import ceil, floor, sqrt
from operator import itemgetter




M = 2019


def main():
    a, b = [int(x) for x in input().split(' ')]

    if 2019 <= (b - a):
        print(0)
        return

    a_q = a // M
    b_q = b // M

    if a_q != b_q:
        print(0)
        return

    a = a % M
    b = b % M

    m = M

    for i in range(a, b + 1):
        for j in range(i + 1, b + 1):
            m = min(m, (i * j) % M)

    print(m)


if __name__ == '__main__':
    main()

Solution (Python):
l,r=map(int,input().split())
L=[]
if r-l>2018:
  print(0)
else:
  ans=[]
  for i in range(0,r-l+1):
    L.append((l+i)%2019)
  for i in range(len(L)):
    for j in range(i+1,len(L)):
      ans.append((L[i]*L[j])%2019)
  print(min(ans))

Solution (Python):
l,r = map(int,input().split())
diff = r - l

if(diff >= 2019):
  print(0)
else:
  lmod = l % 2019
  rmod = r % 2019
  if(rmod  < lmod):
    print(0)
  else:
    ans =2020
    for i in range(l,r+1):
      for j in range(i+1,r+1):
        if((i*j) % 2019 < ans):
          ans = (i*j) % 2019
    print(ans)

Solution (Python):
l, r = map(int, input().split())
mod = 2019
l0 = l % mod
r0 = r % mod

a = []
if r - l >= mod:
    a = [0,0]
elif l0 <= r0:
    a = list(range(l0, r0+1))
else:
    a = list(range(0, l0+1)) + list(range(r0, mod))

m = 10000
for i in range(len(a)-1):
    for j in range(i+1, len(a)):
        x = (a[i] * a[j]) % mod
        if x < m:
            m = x
print(m)

Solution (Python):
def main():
    L, R = map(int, input().split())
    min_ = 2019
    left = L % 2019
    right = R % 2019
    if left >= right:
        return 0
    if R >= L + 2019:
        return 0
    for i in range(left, right):
        for j in range(i + 1, right + 1):
            tmp = i * j % 2019
            if tmp < min_:
                min_ = tmp
    return min_

print(main())

Solution (Python):
import sys


if __name__ == '__main__':
    L, R = map(int, input().split())

    answer = sys.maxsize
    if R - L >= 2019 * 2:
        answer = 0
    else:
        for i in range(L, R):
            for j in range(i+1, R+1):
                
                i_mod2019 = i % 2019
                j_mod2019 = j % 2019
                answer = min(answer, (i_mod2019 * j_mod2019) % 2019)
    print(answer)

Solution (Python):
l, r = map(int, input().split())

list_ = []
c = 0

while c < 2019:
    if c > r - l:
        break
    list_.append((l+c) % 2019)
    c += 1

list_.sort()
ans = 1000000
for i in range(len(list_)):
    for j in range(len(list_)):
        if i != j:
            ans = min(ans, (list_[i] * list_[j]) % 2019)
print(ans)

Solution (Python):
def read():
    L, R = list(map(int, input().strip().split()))
    return L, R+1


def solve(L, R):
    if R - L > 2019:
        return 0
    numlist = []
    for i in range(L, R, 1):
        numlist.append(i % 2019)
    minimum = 9999999
    for i in numlist:
        for j in numlist:
            if i < j and (i*j) % 2019 < minimum:
                minimum = (i*j) % 2019
    return minimum


if __name__ == '__main__':
    inputs = read()
    print("%d" % solve(*inputs))

Solution (Python):



def solv(l, r):
    
    if r - l >= 672:
        return 0

    if l == 0:
        return 0

    ans = 2018
    for i in range(l, r+1):
        for j in range(i+1, r+1):
            a = (i * j) % 2019
            if a < ans:
                ans = a
    return ans

if __name__ == '__main__':

    l, r = map(int, input().split())

    ans = solv(l, r)
    print(ans)

Solution (Python):
magic = 2019
mid = magic // 2
l, r = [int(i) for i in input().split()]
if r - l >= 2019:
    print(0)
else:
    l = l % magic
    r = r % magic
    if l >= mid and r <= mid:
        print(0)
    else:
        ans = 2019
        for i in range(min(l,r), max(l,r)+1):
            for j in range(i+1, max(l,r)+1):
                ans = min(ans, i*j % 2019)
        print(ans)

Solution (Python):
L,R = map(int, input().split())


diff = R - L
ans = 2019
if diff >= 2019:
    print(0)
else:
    for i in range(diff+1):
        for j in range(i+1,diff+1):
            l = (L+i)
            r = (L+j)
            ans = min(ans,(l*r)%2019)
    print(ans)

Solution (Python):

L,R = map(int,input().split())


if R // 2019 != L // 2019:
    ans = 0

else:

    ans = float("inf")
    mini = L % 2019
    maxi = R % 2019

    for I in range(maxi - mini + 1):
        i = L+I

        for J in range(I):

            j = L + J

            ans = min (ans, (i*j) % 2019)

print (ans)

Solution (Python):
import itertools

l, r = (int(i) for i in input().split())
if r-l>=2019:
  print(0)
else:
  ls = list(range(l, r+1))
  hoge = [i[0]*i[1]%2019 for i in itertools.combinations(ls, 2)]
  print(min(hoge))

Solution (Python):
L, R = map(int, input().split())
MOD = 2019

ld = L // MOD
rd = R // MOD

ans = 0
if ld != rd:
    ans = 0
else:
    ans = 100000000
    lm = L % MOD
    rm = R % MOD
    for i in range(lm, rm):
        for j in range(lm+1, rm+1):
            v = (i * j) % MOD
            if v < ans:
                ans = v

print(ans)

Solution (Python):
L,R = map(int,input().split())
N = min([R - L , 2019])
m = 2018
if N == 1:
  m = (R*L)%2019
for i in range(N):
  for j in range(N - i):
    M = ((L + i)*(L + N - j))%2019
    if M < m:
      m = M
print(m)

Solution (Python):
import numpy as np
L, R = map(int, input().split())
if R - L + 1 >= 2019:
    print(0)
else:
    x = np.arange(L, R+1)
    x = x % 2019
    m = 2018
    for i in range(len(x)-1):
        y = (x[i+1:]*x[i])%2019
        m = min(m, np.min(y))
    print(m)

Solution (Python):
L, R = map(int, input().split())
import itertools
  
if R - L >= 2019:
  print(0)
  exit()
else:
  minV = 2*10**9
  for i in itertools.combinations(range(L, R+1), 2):
    val = (i[0]*i[1]) % 2019
    if val <= minV:
      minV = val
  print(minV)

Solution (Python):
l, r = [int(elem) for elem in input().split()]

res = -1
if (r / 2019) - (l / 2019) < 1:
    for i in range(l, r+1):
        for j in range(i+1, r+1):
            tmp = (i * j) % 2019
            if tmp < res:
                res = tmp
            elif res == -1:
                res = tmp
    print(res)
else:
    print(0)

Solution (Python):
from sys import exit

L, R = map(int, input().split())

_L = L
ans = 2019
while True:
    if _L % 2019 == 0:
        if _L + 2019 <= R:
            print(0)
        else:
            print(1)
        exit()
    if _L == R:
        for i in range(L, R):
            for j in range(i + 1, R + 1):
                if ans > (i * j % 2019):
                    ans = i * j % 2019
        break
    _L += 1

print(ans)

Solution (Python):
L, R = [int(_) for _ in input().split()]
if R-L >= 2018:
    m = 0
else:
    m = 2020
    N = [i%2019 for i in range(L, R+1)]

    for i in range(len(N)):
        for j in range(i+1,len(N)):
            m = min(m, (N[i]*N[j])%2019)

print(m)

Solution (Python):
def gcd(a,b):
    if b==0:
        return a
    return gcd(b,a%b)

l,r=[int(i) for i in input().split()]
a=l//2019
b=r//2019
if a!=b:
    print(0)
elif l%2019==0 or r%2019==0:
    print(0)
else:
    min=10000000000000000
    for i in range(l,r+1):
        for j in range(i+1,r+1):
            c=(i*j)%2019
            if c<min:
                min=c
    print(min)

Solution (Python):
import math

x = input()
x = x.split()

l = int(x[0])
r = int(x[1])

if l % 2019 > r % 2019 or r-l >= 2018:
  print("0")
  exit()


else:
  min = 2019
  for i in range(l,r+1):
    for j in range(i+1,r+1):
    	if (i*j)%2019 < min:
          min = (i*j)%2019
  print(min)

Solution (Python):
MOD = 2019

L, R = map(int, input().strip().split())

v = MOD
stop = min(R, L + MOD) + 1
for i in range(L, stop):
  for j in range(i + 1, stop):
    v = min(v, i * j % MOD)

print(v)

Solution (Python):
l, r = map(int, input().split())
modl = []
result = float("INF")
for i in range(l, r + 1):
    num = i % 2019
    if num == 0:
        print(0)
        exit()
    modl.append(num)
for i in range(r - l + 1):
    for j in range(i + 1, r - l + 1):
        result = min(modl[i] * modl[j] % 2019, result)
print(result)

Solution (Python):
L, R = map(int, input().split())
d = R - L
if d > 2019:
  print(0)
else:
  ans = R*L
  for i in range(L, R+1):
    for j in range(i+1,R+1):
      check = (i*j)%2019
      if check < ans:
        ans = check
  print(ans)

Solution (Python):
def main():
	import sys
	input = sys.stdin.readline
	L, R = list(map(int, input().split()))
	if R - L >= 2019:
		print(0)
	else:
		modL = L % 2019
		modR = R % 2019
		if modR <= modL:
			print(0)
		else:
			ans = (modL * (modL + 1)) % 2019
			tmp = []
			for i in range(modL, modR+1):
				for j in range(i+1, modR+1):
					tmp.append((i * j) % 2019)
			print(min(tmp))


if __name__ == '__main__':
    main()

Solution (Python):
l,r=map(int,input().split())
if(r-l>=2018):
  print(0)
else:
  mi=2018
  res1=l%2019
  for i in range(r-l):
    res2=(i+l+1)%2019
    for j in range(r-l-i):
      if (res1*res2)%2019<mi:
        mi=(res1*res2)%2019
      res2+=1
    res1+=1
  print(mi)

Solution (Python):
def main():

    """ convenient functions
    
    
    
    
    
    """

    """convenient decorator
    
    
        
        
        
        
        
        
        
        
        
        
    """
    
    
    import sys
    sys.setrecursionlimit(10**7)
    from itertools import accumulate, combinations, permutations, product 
    
    from math import factorial, ceil, floor, sqrt
    def factorize(n):
        """return the factors of the Arg and count of each factor
        
        Args:
            n (long): number to be resolved into factors
        
        Returns:
            list of tuples: factorize(220) returns [(2, 2), (5, 1), (11, 1)]
        """
        fct = []  
        b, e = 2, 0  
        while b * b <= n:
            while n % b == 0:
                n = n // b
                e = e + 1
            if e > 0:
                fct.append((b, e))
            b, e = b + 1, 0
        if n > 1:
            fct.append((n, 1))
        return fct
    def combinations_count(n, r):
        """Return the number of selecting r pieces of items from n kinds of items.
        
        Args:
            n (long): number
            r (long): number
        
        Raises:
            Exception: not defined when n or r is negative
        
        Returns:
            long: number
        """
        
        if n < 0 or r < 0:
            raise Exception('combinations_count(n, r) not defined when n or r is negative')
        if n - r < r: r = n - r
        if r < 0: return 0
        if r == 0: return 1
        if r == 1: return n
        numerator = [n - r + k + 1 for k in range(r)]
        denominator = [k + 1 for k in range(r)]
        for p in range(2,r+1):
            pivot = denominator[p - 1]
            if pivot > 1:
                offset = (n - r) % p
                for k in range(p-1,r,p):
                    numerator[k - offset] /= pivot
                    denominator[k] /= pivot
        result = 1
        for k in range(r):
            if numerator[k] > 1:
                result *= int(numerator[k])
        return result
    def combinations_with_replacement_count(n, r):
        """Return the number of selecting r pieces of items from n kinds of items allowing individual elements to be repeated more than once.
        
        Args:
            n (long): number
            r (long): number
        
        Raises:
            Exception: not defined when n or r is negative
        
        Returns:
            long: number
        """
        if n < 0 or r < 0:
            raise Exception('combinations_with_replacement_count(n, r) not defined when n or r is negative')
        elif n == 0:
            return 1
        else:
            return combinations_count(n + r - 1, r)
    from bisect import bisect_left, bisect_right
    from collections import deque, Counter, defaultdict 
    from heapq import heapify, heappop, heappush, heappushpop, heapreplace,nlargest,nsmallest 
    from copy import deepcopy, copy 
    import operator
    from operator import itemgetter
    
    
    from functools import reduce, lru_cache
    def chmin(x, y):
        """change minimum
        if x > y, x = y and return (x, True).
        convenient when solving problems of dp[i]
        
        Args:
            x (long): current minimum value
            y (long): potential minimum value
        
        Returns:
            (x, bool): (x, True) when updated, else (x, False)
        """
        if x > y:
            x = y
            return (x, True)
        else:
            return (x, False)
    def chmax(x, y):
        """change maximum
        if x < y, x = y and return (x, True).
        convenient when solving problems of dp[i]
        
        Args:
            x (long): current maximum value
            y (long): potential maximum value
        
        Returns:
            (x, bool): (x, True) when updated, else (x, False)
        """
        if x < y:
            x = y
            return (x, True)
        else:
            return (x, False)

    from fractions import gcd 
    def gcds(numbers):
        return reduce(gcd, numbers)
    def lcm(x, y):
        return (x * y) // gcd(x, y)
    def lcms(numbers):
        return reduce(lcm, numbers, 1)

    
    
    INF = 10 ** 18
    MOD = 10 ** 9 + 7
    modpow = lambda a, n, p = MOD: pow(a, n, p) 
    def modinv(a, p = MOD):
        
        
        return modpow(a, p-2, p)
    def modinv_list(n, p = MOD):
        if n <= 1:
            return [0,1][:n+1]
        else:
            inv_t = [0,1]
            for i in range(2, n+1):
                inv_t += [inv_t[p % i] * (p - int(p / i)) % p]
            return inv_t
    def modfactorial_list(n, p = MOD):
        if n == 0:
            return [1]
        else:
            l = [0] * (n+1)
            tmp = 1
            for i in range(1, n+1):
                tmp = tmp * i % p
                l[i] = tmp
            return l
    def modcomb(n, k, fac_list = [], p = MOD):
        
        
        from math import factorial
        if n < 0 or k < 0 or n < k: return 0
        if n == 0 or k == 0: return 1
        if len(fac_list) <= n:
            a = factorial(n) % p
            b = factorial(k) % p
            c = factorial(n-k) % p
        else:
            a = fac_list[n]
            b = fac_list[k]
            c = fac_list[n-k]
        return (a * modpow(b, p-2, p) * modpow(c, p-2, p)) % p
    def modadd(a, b, p = MOD):
        return (a + b) % MOD
    def modsub(a, b, p = MOD):
        return (a - b) % p
    def modmul(a, b, p = MOD):
        return ((a % p) * (b % p)) % p
    def moddiv(a, b, p = MOD):
        return modmul(a, modpow(b, p-2, p))

    """ initialize variables and set inputs
    
        
        
    
        
        
        
        
        
    
        
        
        
        
    
        
        
    """

    
    r = lambda: sys.stdin.readline().strip()
    r_int = lambda: int(r())
    R = lambda: list(map(int, r().split()))
    Rmap = lambda: map(int, r().split())
    Rfloat = lambda: list(map(float, r().split()))
    Rtuple = lambda: tuple(map(int, r().split()))

    """ how to treat input
    
    
    
    
    
    
    
    """

    if __name__ != '__main__':
        
        sys.stdin = open('sample.txt')

    
    
    
    
    inputL, inputR = R()
    md = 2019
    modl = inputL % md
    modr = inputR % md
    
    if inputR - inputL >= 2018 or modl > modr:
        print(0)
        exit()
    
    ans = 10000000000000000
    for i in range(modl, modr+1):
        for j in range(modl, modr+1):
            if i == j:
                continue
            else:
                ans = min(ans, (i*j)%md)
    
    print(ans)
    
    
    
    
    
        
        
    
    

    """memo: how to use defaultdict of list
    
    Dic = defaultdict(list)
    
    Dic[x].append(y)
    
    for k, v in Dic.items():
    """

if __name__ == '__main__':
    main()

Solution (Python):
from sys import stdin


def main():
    result = 2019
    L, R = [int(x) for x in stdin.readline().rstrip().split()]
    for i in range(L, R):
        for j in range(i + 1, R + 1):
            a = (i * j) % 2019
            result = min(result, a)
            if (result == 0):
                print(result)
                return
    print(result)


if __name__ == "__main__":
    main()

Solution (Python):
import sys
def input():
    return sys.stdin.readline()[:-1]

L, R = map(int, input().split())

res = 2020
if R-L >= 2019:
    print(0)
else:
    for i in range(L, R):
        if res==0: break
        for j in range(i+1, R+1):
            if res==0: break
            
            new_res = (i*j)%2019
            if new_res < res:
                res = new_res
    print(res)

Solution (Python):
l, r = map(int, input().split())
mod = 2019
if l//mod < r//mod:
  print(0)
  exit()
l %= mod
r %= mod
m = mod-1
for i in range(l, r+1):
  for j in range(i+1, r+1):
    m = min(m, (i * j) % mod)
print(m)

Solution (Python):
L,R = map(int,input().split())

left = L % 2019
c = 2019 - left
if L + c <= R:
    ans = 0
else:
    ans = 2020
    right = R % 2019
    for i in range(left,right+1):
        for j in range(i+1,right+1):
            ans = min((i*j)%2019,ans)
print(ans)

Solution (Python):
L,R=map(int,input().split())
l1=L//2019
l2=L%2019
r1=R//2019
r2=R%2019
if l1!=r1 or l2==0:
  print(0)
else:
  a = [2020]
  for i in range(l2,r2):
    for j in range(i+1,r2+1):
      c = (i*j)%2019
      a.append(c)
  print(min(a))

Solution (Python):
def li():
    return list(map(int, input().split()))


if __name__ == "__main__":
    rem_value = 2019
    [l, r] = li()
    l_mod = l % rem_value
    r_mod = r % rem_value
    if r - l >= 2019 or l_mod > r_mod:
        print(0)
    else:
        candidate = range(l_mod, r_mod + 1)
        min_value = rem_value
        for index, i in enumerate(candidate[:-1]):
            for j in candidate[index + 1:]:
                if i * j % rem_value < min_value:
                    min_value = i * j % rem_value
        print(min_value)

Solution (Python):
L, R = map(int, input().split())
mod = []
for i in range(L, R+1):
    if i % 2019 not in mod:
        mod.append(i % 2019)
    else:
        break

ans = mod[0] * mod[1] % 2019
for i in range(len(mod)):
    for j in range(i+1, len(mod)):
        if mod[i] * mod[j] % 2019 <= ans:
            ans = mod[i] * mod[j] % 2019
print(ans)

Solution (Python):
left, right = map(int, input().split())

min = 2019
for i in range(left, right+1):
    for j in range(i+1, right+1):
        tmp = (i * j) % 2019
        if tmp < min:
            min = tmp
        if min == 0:
            print(min)
            exit()

print(min)

Solution (Python):
import itertools
L, R = map(int, input().split())
if R - L > 2019:
    R = L + 2019
li = set([i%2019 for i in range(L, R+1)])

min = 2019
for i in itertools.combinations(li,2):
    tmp = i[0]*i[1]%2019
    if min > tmp:
        min = tmp
print(min)

Solution (Python):
a,b = map(int,input().split())
mine = 2019
if b - a > 2017:
    print(0)
else:
    a = a%2019
    b = b%2019
    if a>b :
        print(0)
    else:
        for i in range(b-a):
            for f in range(b-a-i):
                mine = min(mine, ((a+i)*(a+i+1+f))%2019)
        print(mine)

Solution (Python):
l, r = map(int,input().split())

lmod=l%2019
rmod=r%2019

if r-l>=2019:
    mini = 0
elif l <= 2019*(r//2019):
    mini = 0
else:
    mini = 10**9
    for i in range(lmod,rmod+1):
        for j in range(i+1,rmod+1):
            mini = min(mini,(i*j)%2019)
print(mini)

Solution (Python):
L,R=map(int,input().split())

if L==0:
    print(0)
elif L%2019==0 or R%2019==0:
    print(0)
elif (R-L)>=2019:
    print(0)
elif (L//2019)<(R//2019):
    print(0)
else:
    A=[]
    for i in range(L,R+1):
        A.append(i%2019)
    M=10000
    for i in range(len(A)-1):
        for j in range(i+1,len(A)):
            if (A[i]*A[j])%2019<M:
                M=(A[i]*A[j])%2019
    print(M)

Solution (Python):
l, r = map(int, input().split())

if l//2019 != r//2019:
    print(0)
else:
    ans = 2019
    for i in range(l, r):
        for j in range(i+1, r+1):
            ans = min(ans, (i*j)%2019)
    print(ans)

Solution (Python):
L, R = map(int, input().split())

if R - L >= 2019 - 1:
    print(0)
    exit()

ans = 2020
for i in range(L, R):
    for j in range(i+1, R+1):
        ans = min(ans, (i*j) % 2019)
        
print(ans)

Solution (Python):
l, r = map(int, input().split())

if r - l + 1 >= 2019:
    print(0)
    exit()

e = min(r + 1, l + 2019)
ans = 2019
for i in range(l, e):
    for j in range(i + 1, e):
        ans = min(ans, (i * j) % 2019)

print(ans)

Solution (Python):
l,r=map(int,input().split())
L=l%2019
R=r%2019
ans=2019
if l+2019<=r:
        print(0)
elif L>R:
        print(0)
else:
        for i in range(L,R+1):
              for j in range(i+1,R+1):
                        ans=min(ans,(i*j)%2019)
        print(ans)

Solution (Python):


L, R = map(int, input().split())

min = 2019

if R - L > 2019:
    R = L + 2019

for i in range(L, R+1):
    for j in range(i+1, R+1):
        mod = (i*j) % 2019
        if mod < min:
            min = mod

print(min)

Solution (Python):
from sys import stdin
import math
import fractions
from collections import deque
from collections import Counter
import itertools

INF = 10 ** 20


L, R = [int(x) for x in stdin.readline().rstrip().split()]
MODN = 2019





ans = INF
for i in range(L, L + 2019 + 3):
    if i > R:
        break
    for j in range(i+1, L + 2019 + 3):
        if j > R:
            break

        tmp = (i * j) % MODN
        ans = min(ans, tmp)

print(ans)

Solution (Python):
import sys

fin = sys.stdin.readline

l, r = map(int, fin().split())

if (r - l) > 700:
    print(0)

else:
    num = list(range(l, r + 1))
    num = [n % 2019 for n in num]
    mul = [(num[i] * num[j]) % 2019 for i in range(len(num) - 1) for j in range(i + 1, len(num))]
    print(min(mul))

Solution (Python):

from itertools import combinations
def solve():
    L, R = map(int, input().split())
    l, r = L%2019, R%2019
    if R-L >= 2019-1 or l >= r or l == 0:
        return '0'
    elif R-L >= 673-1 or ((R-L >= 3-1 or L%3 >= R%3 or L%3 == 0) and L%673 >= R%673) or ((R-L >= 3-1 or L%3 >= R%3 or L%3 == 0) and L%673 == 0):
        return '0'
    elif R-L == 1:
        return str((L*R)%2019)
    else:
        return str(min((i*j)%2019 for i, j in combinations(range(L,R+1),r=2)))

if __name__ == '__main__':
    print(solve())

Solution (Python):
l, r = map(int, input().split())
if r - l >= 2018:
  print(0)
  exit()
l = l % 2019
r = r % 2019
if l > r:
  r += 2019
ans = 2019
for i in range(l, r):
  for j in range(i+1, r+1):
    ans = min(ans,i*j%2019)
print(ans)

Solution (Python):
import sys
from collections import defaultdict, Counter, deque
from itertools import accumulate, permutations, combinations
from operator import itemgetter
from bisect import bisect_left, bisect_right, bisect
from heapq import heappop, heappush
from fractions import gcd
from math import ceil, floor, sqrt, cos, sin, pi
from copy import deepcopy




def main():
    L,R = map(int, input().split())

    ans = sys.maxsize

    
    

    if R//2019 - (L-1)//2019 > 0:
        return 0
    
    if R//673 - (L-1)//673 > 0 and R//3 - (L-1)//673 > 0:
        return 0

    for i in range(L,R+1):
        for j in range(i+1,R+1):
            ans = min(ans, i*j%2019)
    
    return ans

if __name__ == '__main__':
    print(main())

Solution (Python):
import sys

l, r = list(map(int, input().split()))

ans = 2018

for i in range(l, r + 1):
  for j in range(i + 1, r + 1):
    if ((i * j) % 2019) < ans:
      ans = (i * j) % 2019
    if ans == 0:
      print(ans)
      sys.exit()

print(ans)

Solution (Python):
L, R = map(int, input().split())






l_mod = L % 2019
r_mod = R % 2019

l_count = L // 2019
r_count = R // 2019

min_mod2019 = 2020

if l_count < r_count: 
    print(0)
    
elif l_count == r_count: 
    for i in range(l_mod, r_mod):
        for j in range(i+1, r_mod+1):
            tmp = (i * j) % 2019
            if tmp < min_mod2019:
                min_mod2019 = tmp
    print(min_mod2019)

Solution (Python):

l, r = map(int, input().split())

if r-l > 2019:
        ans = 0
else:
        ans = 2019
        l = l%2019
        r = r%2019
        if l > r:
                r += 2019
        for i in range(l, r):
                for j in range(l+1, r+1):
                        if (i*j) % 2019 < ans:
                                ans = (i*j) % 2019

print(ans)

Solution (Python):
L, R = map(int, input().split())
x = [i % 2019 for i in range(L, min(R + 1, L + 2019))]
ans = 10 ** 10
for i in x:
    for j in x:
        if i < j:
            ans = min(ans, i * j % 2019)
print(ans)

Solution (Python):
l, r = map(int, input().split())

if r - l > 2020:
    r = l + 2020

ans = 2020
for i in range(l,r):
    for j in range(i+1,r+1):
        sub = (i*j)%2019

        if sub < ans:
            ans = sub

print(ans)

Solution (Python):
L,R = map(int,input().split())
if R-L>=2019:print(0)
else:
    L%=2019
    R%=2019
    if R<L:R+=2019
    ans = 2019
    for i in range(L,R):
        for j in range(i+1,R+1):
            ans = min(ans,i*j%2019)
    print(ans)

Solution (Python):
import sys
sys.setrecursionlimit(100000)

def intinput(): return map(int,sys.stdin.readline().split())

l,r=intinput()
mod=2019
if r-l>=mod:
    print(0)
    sys.exit()
s=l%mod
t=r%mod
if s>t: print(0)
else:
    ans=float("inf")
    for i in range(s,t+1):
        for j in range(i+1,t+1):
            ans=min(ans,i*j%mod)
    print(ans)

Solution (Python):
l, r = map(int, input().split())

li=[]
cnt=0
for i in range(l, r+1):
  li.append(i%2019)
  if i%2019==0:
    print(0)
    break
else:
  ans=2019
  for index, i in enumerate(li):
    for j in li[index+1:]:
      ans = min(ans, (i*j)%2019)
  print(ans)

Solution (Python):
import numpy as np
import math
import sys
sys.setrecursionlimit(10000000)

def main():
    L, R = map(int, input().split())
    if R - L >= 2019:
        print(0)
    elif R % 2019 == 0 or L % 2019 == 0:
        
        print(0)
    elif R % 2019 <= L % 2019:
        
        print(0)
    else:
        min_value = 2020
        for i in range(L, R + 1):
            for j in range(i + 1, R + 1):
                mod_value = (i * j) % 2019
                min_value = min(mod_value, min_value)
        print(min_value)

if __name__ == '__main__':
    main()

Solution (Python):
L, R = map(int, input().split())
if R - L >= 2018:
	print(0)
else:
	ans = 2019
	for i in range(L, R):
		for j in range(i + 1, R + 1):
			ans = min(ans, i * j % 2019)
	print(ans)

Solution (Python):
L,R=map(int,input().split())
if R - L > 2019:
      print(0)
else:
    D = R - L
    L = L % 2019
    R = L + D
    a = 2018
    for i in range(D):
        for j in range(i+1,D+1):
            if (L+i)*(L+j)%2019 < a:
                a =(L+i)*(L+j)%2019
    print(a)

Solution (Python):

L, R = [int(x) for x in input().split(' ')]

if L <= 2019 and 2019 <= R:
    print(0)
    exit(0)
if 2018 <= (R - L):
    print(0)
    exit(0)

min_val = 2020
for i in range(L, R + 1):
    for j in range(i + 1, R + 1):
        val = (i * j) % 2019
        min_val = min(min_val, val)
print(min_val)

Solution (Python):
L, R = map(int, input().split())

border = (R//2019 - L//2019)

if border >= 1 or ((R%2019)==0) or ((L%2019)==0):
  print(0)
else:
  L %= 2019
  R %= 2019
  ans = 2019
  for i in range(L, R):
    for j in range(i+1, R+1):
      ans = min(ans, (i*j)%2019)
  print(ans)

Solution (Python):
import itertools
L,R=map(int,input().split())
if R-L>=2019:
  print(0)
else:
  MIN=2018  
  list1=list(range(L,R+1))
  list2=list(itertools.combinations(list1,2))
  for i in range(len(list2)):
    a=list2[i][0]*list2[i][1]%2019
    MIN=min(MIN,a)
  print(MIN)

Solution (Python):
l, r = (int(_) for _ in input().split())
r = min(r,l+2019)
x = [i*ii%2019 for i in range(l,r+1) for ii in range(i+1,r+1)]
print(min(x))

Solution (Python):
l,r=map(int,input().split())
a=[]
if r//2019!=l//2019 or r%2019==0 or l%2019==0:
	print(0)
else:
	rr=r%2019
	ll=l%2019
	for i in range(ll,rr+1):
		for k in range(ll,rr+1):
			if i<k:
				a.append(i*k%2019)
	print(min(a))

Solution (Python):
L, R  = map(int, input().split())

X = [x % 2019 for x in range(L, min(L+2019+1, R+1))]

ans = 2019
for i, x_i in enumerate(X):
    for j, x_j in enumerate(X[i+1:]):
        ans = min(ans, x_i*x_j % 2019)
print(ans)

Solution (Python):
L, R = map(int, input().split())
mod = 2019

if R - L >= 2019:
    print(0)
else:
    ans = float('inf')
    for i in range(L, R+1):
        for j in range(i+1, R+1):
            ans = min((i * j) % mod, ans)
    print(ans)

Solution (Python):
import sys
l,r = map(int, input().split())

if r == l+1:
    print((l*r)%2019)
    sys.exit()

for i in range(1,10**6+1):
    v = 2019*i
    if l<=v and r>=v:
        print(0)
        sys.exit()

ans = 2020
for i in range(l,r):
    for j in range(i+1,r+1):
        dp = (i*j)%2019
        if ans>dp:
            ans = dp

print(ans)

Solution (Python):
def check(l,r):
    if r-l>=2019:
        return True
    if r%2019<l%2019:
        return True
    else:
        return False
l,r=map(int,input().split())
if check(l,r):
    print(0)
else:
    l%=2019
    r%=2019
    ans=2019
    for i in range(l,r+1):
        for j in range(i+1,r+1):
            ans=min((i*j)%2019,ans)
    print(ans)

Solution (Python):
import sys
l,r = map(int,input().split())
if r - l >= 2018:
  print(0)
  sys.exit()
l = l % 2019
r = r % 2019
if r <= l:
  print(0)
  sys.exit()
m = 2019
for i in range(l,r):
  for j in range(i+1,r+1):
    m = min(m,i*j%2019)
print(m)