Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
h,w=map(int, input().split())
S=["."+input()+"." for _ in range(h)]
S = ["."*(w+2)]+S+["."*(w+2)]
# print(S)
flag=True
for i in range(h):
    for j in range(w):
        if S[i][j]=="#":
            if S[i-1][j]=="." and S[i+1][j]=="." and S[i][j-1]=="." and S[i][j+1]==".":
                flag=False
print("Yes" if flag else "No")a

Fixed submission:
h,w=map(int, input().split())
S=["."+input()+"." for _ in range(h)]
S = ["."*(w+2)]+S+["."*(w+2)]
# print(S)
flag=True
for i in range(h):
    for j in range(w):
        if S[i][j]=="#":
            if S[i-1][j]=="." and S[i+1][j]=="." and S[i][j-1]=="." and S[i][j+1]==".":
                flag=False
print("Yes" if flag else "No")
Buggy python submission (verdict: Runtime Error):
Ns = [input() for _ in range(int(input()))]
Ms = [input() for _ in range(int(input()))]
l = list(set(Ns))
print(max(0,max((Ns.count(l[i])-Ms.count(l[i]) for i in range(len(l))))))a

Fixed submission:
Ns = [input() for _ in range(int(input()))]
Ms = [input() for _ in range(int(input()))]
l = list(set(Ns))
print(max(0,max((Ns.count(l[i])-Ms.count(l[i]) for i in range(len(l))))))
Buggy python submission (verdict: Runtime Error):
import math
A, B ,C, D = list(map(int, input().split()))

lcm = C * D //math.gcd(C, D)
b =  B // C + B // D - B // lcm
b = B - b

A -= 1
a =  A // C + A // D - A // lcm
a = A - a

print(b - a)


Fixed submission:
import fractions
A, B ,C, D = list(map(int, input().split()))

lcm = C * D //fractions.gcd(C, D)
b =  B // C + B // D - B // lcm
b = B - b

A -= 1
a =  A // C + A // D - A // lcm
a = A - a

print(b - a)

Buggy python submission (verdict: Runtime Error):
import math
a, b, c, d = map(int, input().split())

a_c = (a-1)//c
a_d = (a-1)//d
gcd_dc = math.gcd(d,c)
lcm_dc = (c*d)//gcd_dc
a_cd = (a-1)//lcm_dc
b_c = b//c
b_d = b//d
b_cd = b//lcm_dc

print(b-a+1-(b_c+b_d-b_cd-a_c-a_d+a_cd))


Fixed submission:
from fractions import gcd
a, b, c, d = map(int, input().split())

a_c = (a-1)//c
a_d = (a-1)//d
gcd_dc = gcd(d,c)
lcm_dc = (c*d)//gcd_dc
a_cd = (a-1)//lcm_dc
b_c = b//c
b_d = b//d
b_cd = b//lcm_dc

print(b-a+1-(b_c+b_d-b_cd-a_c-a_d+a_cd))
Buggy python submission (verdict: Time Limit Exceeded):
N, M = map(int, input().split())
A=[]
MOD=1000000007
for _ in range(M):
    a = int(input())
    A.append(a)

C = [0]*(N+1)
C[0]=1
#print(C)
for i in range(N):
    if i+1 not in A:
        C[i+1]+=C[i]%MOD
    if i+2 not in A and i<N-1:
        C[i+2]+=C[i]%MOD
    #print(C)
print(C[N]%MOD)


Fixed submission:
N, M = map(int, input().split())
D=[1]*(N+1)
MOD=1000000007
for _ in range(M):
    i = int(input())
    D[i]=0

C = [0]*(N+1)
C[0]=1
for i in range(N-1):
    C[i+1]+=(C[i]*D[i])%MOD
    C[i+2]+=(C[i]*D[i])%MOD
C[N]+=(C[N-1]*D[N-1])%MOD
    #print(C)
print(C[N]%MOD)
Buggy python submission (verdict: Runtime Error):
N = int(input())
A = list(map(int, input().split()))

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

r = 0
if N==1:
    print(A[0])
    exit()
else:
    r = gcd(A[0], A[1])
    if N==2:
        print(r)
        exit()
    else:
        for i in range(2, N):
            r = gcd(r,A[i])
B=[]
for i in A:
    B.append(i//r)
#print(B)
D={}
for i in range(N):
    p = B.pop(i)
    rr = gcd(B[0],B[1])
    if len(B)>2:
        for j in range(2,N):
            rr = gcd(rr,B[j])
    if rr not in D:
        D[rr]=1
    else:
        D[rr]+=1
    B.insert(i,p)
#print (D)
for i in D:
    if i ==N-1:
        print(r*i)
        exit()
print(r)


Fixed submission:
N = int(input())
A = list(map(int, input().split()))

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

L = A.copy()
R = A.copy()
for i in range(1, N):
    L[i] = gcd(L[i-1], L[i])

for i in reversed(range(0, N-1)):
    R[i] = gcd(R[i+1], R[i])

result = max(R[1],L[-2])

for i in range(1, N-1):
    result = max(result, gcd(L[i-1],R[i+1]))
print(result)
Buggy python submission (verdict: Time Limit Exceeded):
N, Q= map(int, input().split())
S = input()
D = []
for i in range(Q):
    l, r = map(int, input().split())
    D.append([l,r])

ans=[]
for l, r in D:
    s = S[l-1:r]
    ans.append(s.count("AC"))

for a in ans:
    print(a)


Fixed submission:
N, Q= map(int, input().split())
S = input()
D = []
for i in range(Q):
    l, r = map(int, input().split())
    D.append([l,r])

c =[0]*N
for i in range(N-1):
    if S[i:i+2] == "AC":
        c[i+1]=c[i]+1
    else:
        c[i+1]=c[i]
for l, r in D:
    print(c[r-1]-c[l-1])
Buggy python submission (verdict: Time Limit Exceeded):
a, b = map(int, input().split())
result=a
for i in range(a+1, b+1):
    result^=i
print(result)


Fixed submission:
a, b = map(int, input().split())
ta = list(map(int, list(bin(a))[:1:-1]))
tb = list(map(int, list(bin(b))[:1:-1]))
S  = [0]*40
E  = [0]*40
for i in range(len(ta)):
    S[i]=ta[i]
for i in range(len(tb)):
    E[i]=tb[i]
sum=0
for i in range(1,40):
    odd =0
    sodd=0
    eodd=0
    m0=a%(2**(i+1))
    M0=b%(2**(i+1))
    m1=a//(2**(i+1))
    M1=b//(2**(i+1))
    if m1==M1:
        if(S[i]==0 and E[i]==1 and b%2==0):
            odd = 1
        elif(S[i]==1 and (b-a)%2==0):
            odd = 1
    else:
        if(S[i]==0 and E[i]==1 and b%2==0):
            odd = 1
        elif(S[i]==1 and E[i]==0 and a%2==1):
            odd = 1
        elif(S[i]==1 and E[i]==1):
            sodd = 1 if (a%2==1) else 0
            modd = 1 if (b%2==0) else 0
            odd = sodd^modd
    sum+=(2**i)*odd

if((a//4)!=(b//4)):
    if(a%4>1 and (b%4==0 or b%4==3)):
        sum+=1
    elif(a%4<=1 and (b%4==1 or b%4==2)):
        sum+=1
else:
    if((b-a)==1 or ((b-a)==2 and a%2==0)):
        sum+=1

print(sum)
Buggy python submission (verdict: Runtime Error):
a, b, k = map(int, input().split())

div=[]
for i in range(1,min(a,b)+1):
    if(a%i==0 and b%i==0):
        div.append(i)
if(div):
    div.reverse()
    print(div[k-1])
else:
    print(1)


Fixed submission:
a, b, c = map(int, input().split())
if(b/a>=c):
    print(c)
else:
    print(b//a)
Buggy python submission (verdict: Runtime Error):
a, b, k = map(int, input().split())

div=[]
for i in range(1,max(a,b)):
    if(a%i==0 and b%i==0):
        div.append(i)
if(div):
    div.reverse()
    print(div[k-1])
else:
    print(1)


Fixed submission:
a, b, k = map(int, input().split())

div=[]
for i in range(1,min(a,b)+1):
    if(a%i==0 and b%i==0):
        div.append(i)
if(div):
    div.reverse()
    print(div[k-1])
else:
    print(1)
Buggy python submission (verdict: Runtime Error):
n, m = map(int, input().split())
l=list(map(int, input().split()))
l.sort()
d=[]
for i in range(m-1):
    d.append(abs(l[i+1]-l[i]))

if(len(d)<1):
    print("0")
    exit()

for _ in range(n-1):
    d.remove(max(d))

print(sum(d))


Fixed submission:
n, m = map(int, input().split())
l=list(map(int, input().split()))

if(n>=m):
    print("0")
    exit()

l.sort()
d=[]
for i in range(m-1):
    d.append(abs(l[i+1]-l[i]))

d.sort()
print(sum(d[:m-n]))
Buggy python submission (verdict: Runtime Error):
a,b =map(int, input().split())
r = 0
for _ in range(2):
    if(a>b):
        r+=a
        a-=1
    else:
        r+=b
        b-=1
print(r)


Fixed submission:
K = int(input())
print((K//2)*(K//2 + K%2))
Buggy python submission (verdict: Runtime Error):
from math import factorial as fact
def comb(n, r):
  return fact(n) // (fact(n-r) * fact(r))

n,k = map(int, input().split(' '))
mod = 10**9 + 7
ans = 0

for i in range(1, k+1):
  ans = comb(n-k+1, i) * comb(k-1, i-1)
  print(ans % mod)

Fixed submission:
from math import factorial as fact
def comb(n, r):
  return fact(n) // (fact(n-r) * fact(r))

n,k = map(int, input().split(' '))
mod = 10**9 + 7

for i in range(1, k+1):
  if i <= n-k+1:
    ans = comb(n-k+1, i) * comb(k-1, i-1)
  else:
    ans = 0
  print(ans % mod)
Buggy python submission (verdict: Runtime Error):
s = input()
n = 4
pre = int(s[:2])
suf = int(s[2:])
if 0 < pre <= 12 and 0 < suf <= 12:
  print('AMBIGUOUS')
elif 0 < suf <= 12:
  print('YYMM')
elif 0 < pre <= 12:
  pritn('MMYY')
else:
  print('NA')

Fixed submission:
s = input()
pre = int(s[:2])
suf = int(s[2:])
if 0 < pre <= 12 and 0 < suf <= 12:
  print('AMBIGUOUS')
elif 0 < suf <= 12:
  print('YYMM')
elif 0 < pre <= 12:
  print('MMYY')
else:
  print('NA')

Buggy python submission (verdict: Runtime Error):
s = input()
n = 4
pre = int(s[:2])
suf = int(s[2:])
if pre > 12 and 0 < suf <= 12:
  print('YYMM')
elif 0 < pre <= 12 and suf > 12:
  pritn('MMYY')
elif 0 < pre <= 12 and 0 < suf <= 12:
  print('AMBIGUOUS')
else:
  print('NA')

Fixed submission:
s = input()
pre = int(s[:2])
suf = int(s[2:])
if 0 < pre <= 12 and 0 < suf <= 12:
  print('AMBIGUOUS')
elif 0 < suf <= 12:
  print('YYMM')
elif 0 < pre <= 12:
  print('MMYY')
else:
  print('NA')

Buggy python submission (verdict: Runtime Error):
s = input()
n = 4
pre = int(s[:2])
suf = int(s[2:])
if pre > 12 and suf > 12:
  print('NA')
elif pre > 12 and suf <= 12 and suf > 0:
  print('YYMM')
elif pre <= 12 and suf > 12 and pre > 0:
  pritn('MMYY')
elif pre <= 12 and suf <= 12 and pre > 0 and suf > 0:
  print('AMBIGUOUS')
else:
  print('NA')

Fixed submission:
s = input()
pre = int(s[:2])
suf = int(s[2:])
if 0 < pre <= 12 and 0 < suf <= 12:
  print('AMBIGUOUS')
elif 0 < suf <= 12:
  print('YYMM')
elif 0 < pre <= 12:
  print('MMYY')
else:
  print('NA')
Buggy python submission (verdict: Runtime Error):
N = int(input())
ans = 0
l = list()
for i in range(1, int(N**0.5)+1):
  if N % i == 0:  # i is a divisor of N
    if i > 1:
      m = i-1
      if N//m == N % m:ans += m
    m = N//i-1
    if N//m == N % m:ans += m
print(ans)

Fixed submission:
N = int(input())
ans = 0
l = list()
for i in range(1, int(N**0.5)+1):
  if N % i == 0:  # i is a divisor of N
    if i > 1:
      m = i-1
      if N//m == N % m:ans += m
    if i != N//i:
      m = N//i-1
      if N//m == N % m:ans += m
print(ans)
Buggy python submission (verdict: Runtime Error):
a = int(input())
b = int(input())
c = int(input())
d = int(input())
e = int(input())

l = []
ans = 0
for t in [a,b,c,d,e]:
  if t%10 == 0:
    ans += t
  else:
    l.append(t)

if len(l) < 1:
  print(ans)10
elif len(l) == 1:
  print(ans + l[0])
else:
  l = sorted(l, key=lambda x: x%10, reverse=True)

  def tyumon(t, ans):
    ans += t
    if ans % 10 == 0:
      return ans
    else:
      return (ans//10 + 1)*10

  for i in range(len(l)-1):
    ans = tyumon(l[i], ans)
  print(ans + l[-1])

Fixed submission:
a = int(input())
b = int(input())
c = int(input())
d = int(input())
e = int(input())

l = []
ans = 0
for t in [a,b,c,d,e]:
  if t%10 == 0:
    ans += t
  else:
    l.append(t)

if len(l) < 1:
  print(ans)
elif len(l) == 1:
  print(ans + l[0])
else:
  l = sorted(l, key=lambda x: x%10, reverse=True)

  def tyumon(t, ans):
    ans += t
    if ans % 10 == 0:
      return ans
    else:
      return (ans//10 + 1)*10

  for i in range(len(l)-1):
    ans = tyumon(l[i], ans)
  print(ans + l[-1])

Buggy python submission (verdict: Runtime Error):
a = int(input())
b = int(input())
c = int(input())
d = int(input())
e = int(input())

l = []
ans = 0
for t in [a,b,c,d,e]:
  if t%10 == 0:
    ans += t
  else:
    l.append(t)
    
l = sorted(l, key=lambda x: x%10, reverse=True)

def tyumon(t, ans):
  ans += t
  if ans % 10 == 0:
    return ans
  else:
    return (ans//10 + 1)*10

for i in range(len(l)-1):
  ans = tyumon(l[i], ans)
print(ans + l[-1])

Fixed submission:
a = int(input())
b = int(input())
c = int(input())
d = int(input())
e = int(input())

l = []
ans = 0
for t in [a,b,c,d,e]:
  if t%10 == 0:
    ans += t
  else:
    l.append(t)

if len(l) < 1:
  print(ans)
elif len(l) == 1:
  print(ans + l[0])
else:
  l = sorted(l, key=lambda x: x%10, reverse=True)

  def tyumon(t, ans):
    ans += t
    if ans % 10 == 0:
      return ans
    else:
      return (ans//10 + 1)*10

  for i in range(len(l)-1):
    ans = tyumon(l[i], ans)
  print(ans + l[-1])

Buggy python submission (verdict: Runtime Error):
a = int(input())
b = int(input())
c = int(input())
d = int(input())
e = int(input())

l = [a,b,c,d,e]
nl = []
ans = 0
for t in l:
  if t%10 == 0:
    ans += t
  else:
    nl.append(t)
    
nl = sorted(nl, key=lambda x: x%10, reverse=True)

def tyumon(t, ans):
  ans += t
  if ans % 10 == 0:
    return ans
  else:
    return (ans//10 + 1)*10

for i in range(len(nl)-1):
  ans = tyumon(nl[i], ans)
print(ans + nl[-1])

Fixed submission:
a = int(input())
b = int(input())
c = int(input())
d = int(input())
e = int(input())

l = []
ans = 0
for t in [a,b,c,d,e]:
  if t%10 == 0:
    ans += t
  else:
    l.append(t)

if len(l) < 1:
  print(ans)
elif len(l) == 1:
  print(ans + l[0])
else:
  l = sorted(l, key=lambda x: x%10, reverse=True)

  def tyumon(t, ans):
    ans += t
    if ans % 10 == 0:
      return ans
    else:
      return (ans//10 + 1)*10

  for i in range(len(l)-1):
    ans = tyumon(l[i], ans)
  print(ans + l[-1])
Buggy python submission (verdict: Time Limit Exceeded):
'''
N Q
s
t_1 d_1
\vdots
t_{Q} d_Q
'''
N, Q = map(int, input().split(' '))
s = input()
tile, dir = [], []
for _ in range(Q):
  pre, suff = input().split(' ')
  tile.append(pre)
  dir.append(suff)

S = {}
  
def move(golem, i, d):
  if golem[i] == 0:  # No golem
    return golem
  elif golem[i] > 0:
    if d == 'L':
      if i > 0:
        golem[i-1], golem[i] = golem[i-1] + golem[i], 0
      elif i == 0:
        golem[i] = 0
    elif d == 'R':
      if i < N-1:
        golem[i], golem[i+1] = 0, golem[i] + golem[i+1]
      elif i == N-1:
        golem[i] = 0
  return golem

def move_golem(golem, s, t, d):
  if t not in S.keys():
    S[t] = [i for i, x in enumerate(s) if x == t]
  for i in S[t]:
    golem = move(golem, i, d)
  return golem
  
golem = [1]*N
for t, d in zip(tile, dir):
  golem = move_golem(golem, s, t, d)
print(sum(golem))

Fixed submission:
N, Q = map(int, input().split(' '))
S = '0' + input() + '0'
A = [list(input().split(' ')) for _ in range(Q)]
l = 0
r = N+1
for i in range(Q-1, -1, -1):
  t, d = A[i]
  if t == S[l] and d == 'R':
    l -= 1
  elif t == S[l+1] and d == 'L':
    l += 1
    
  if t == S[r] and d == 'L':
    r += 1
  elif t == S[r-1] and d == 'R':
    r -= 1
print(max(0, r-l-1))

Buggy python submission (verdict: Time Limit Exceeded):
'''
N Q
s
t_1 d_1
\vdots
t_{Q} d_Q
'''
N, Q = map(int, input().split(' '))
s = input()
tile, dir = [], []
for _ in range(Q):
  pre, suff = input().split(' ')
  tile.append(pre)
  dir.append(suff)
  
def move(golem, i, d):
  if golem[i] == 0:  # No golem
    return golem
  elif golem[i] > 0:
    if d == 'L':
      if i > 0:
        golem[i-1], golem[i] = golem[i-1] + golem[i], 0
      elif i == 0:
        golem[i] = 0
    elif d == 'R':
      if i < N-1:
        golem[i], golem[i+1] = 0, golem[i] + golem[i+1]
      elif i == N-1:
        golem[i] = 0
  return golem
  
def move_R(golem, i):
  if golem[i] == 0:
    return golem
  if golem[i] > 0:
    golem[i] -= 1
  if i != N-1:
    golem[i+1] += 1
  return golem

def move_golem(golem, s, t, d):
  indexes = [i for i, x in enumerate(s) if x == t]
  for i in indexes:
    golem = move(golem, i, d)
  return golem
    
  
golem = [1]*N
for t, d in zip(tile, dir):
  golem = move_golem(golem, s, t, d)
print(sum(golem))

Fixed submission:
N, Q = map(int, input().split(' '))
S = '0' + input() + '0'
A = [list(input().split(' ')) for _ in range(Q)]
l = 0
r = N+1
for i in range(Q-1, -1, -1):
  t, d = A[i]
  if t == S[l] and d == 'R':
    l -= 1
  elif t == S[l+1] and d == 'L':
    l += 1
    
  if t == S[r] and d == 'L':
    r += 1
  elif t == S[r-1] and d == 'R':
    r -= 1
print(max(0, r-l-1))
Buggy python submission (verdict: Runtime Error):
nCr={}
def cmb(n, r):
  if r==0 or r==n:
    return 1
  if r==1 or n-r==1:
    return n
  if (n,r) in nCr:
    return nCr[(n,r)]
  nCr[(n,r)] = cmb(n-1,r)+cmb(n-1,r-1)
  return nCr[(n,r)]

N=int(input())
S=input()
ans=N
for r in range(2, N+1):
  ans+=cmb(N, r)

str_num = {i: S.count(i) for i in set(S) if S.count(i) > 1}
for s, n in str_num.items():
  ans -= 2**(N-n)
if len(str_num) > 1:
  ans += 2**(N-sum(str_num.values()))

print(ans)

Fixed submission:
N=int(input())
S=input()
ans=1
for c in set(S):
  ans *= (S.count(c)+1)
print((ans-1) % (10**9+7))

Buggy python submission (verdict: Time Limit Exceeded):
import itertools
N=int(input())
S=input()
ans=N
for i in range(2, N+1):
  sub=[x for x in list(itertools.combinations(S, i)) if len(x) == len(set(x))]
  ans+=len(sub)
print(ans)

Fixed submission:
N=int(input())
S=input()
ans=1
for c in set(S):
  ans *= (S.count(c)+1)
print((ans-1) % (10**9+7))

Buggy python submission (verdict: Runtime Error):
N=int(input())
S=input()
ans=N
for i in range(2, N+1):
  sub=[x for x in list(itertools.combinations(S, i)) if len(x) == len(set(x))]
  ans+=len(sub)
print(ans)

Fixed submission:
N=int(input())
S=input()
ans=1
for c in set(S):
  ans *= (S.count(c)+1)
print((ans-1) % (10**9+7))

Buggy python submission (verdict: Runtime Error):
N=int(input())
S=input()
ans=N
for i in range(2, N+1):
  sub=[x for x in list(itertools.combinations(S, i)) if len(x) == len(set(x))]
  ans+=len(sub)
  print(sub, ans)

Fixed submission:
N=int(input())
S=input()
ans=1
for c in set(S):
  ans *= (S.count(c)+1)
print((ans-1) % (10**9+7))
Buggy python submission (verdict: Time Limit Exceeded):
N, M = map(int, input().split(' '))
A = []
B = []
for n in range(N):
  A_n, B_n = map(int, input().split(' '))
  A.append(A_n)
  B.append(B_n)
  
# calc answer
drink = 0
ans = 0
while(drink < M):
  min_i = A.index(min(A))  # min shop
  if B[min_i] <= M-drink:  # buy all drinks
    drink += B[min_i]
    ans += A[min_i]*B[min_i]
    del A[min_i]
    del B[min_i]
  else:  # buy some drinks
    ans += A[min_i]*(M-drink)
    drink = M
  
print(ans)


Fixed submission:
N, M = map(int, input().split(' '))
data = []
for n in range(N):
  A_n, B_n = map(int, input().split(' '))
  data.append([A_n,B_n])
data = sorted(data)
  
# calc answer
drink = 0
ans = 0
for d in data:
  a, b = d
  drink += b
  ans += a*b
  if drink > M:
    ans -= a*(drink-M)
    break
  
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N, M = map(int, input().split(' '))
A = []
B = []
for n in range(N):
  A_n, B_n = map(int, input().split(' '))
  A.append(A_n)
  B.append(B_n)
  
# calc answer
drink = 0
ans = 0
while(drink < M):
  min_i = A.index(min(A))
  if B[min_i] > 0:
    B[min_i] -= 1
    drink += 1
    ans += A[min_i]
  else:
    del A[min_i]
    del B[min_i]
  
print(ans)


Fixed submission:
N, M = map(int, input().split(' '))
data = []
for n in range(N):
  A_n, B_n = map(int, input().split(' '))
  data.append([A_n,B_n])
data = sorted(data)
  
# calc answer
drink = 0
ans = 0
for d in data:
  a, b = d
  drink += b
  ans += a*b
  if drink > M:
    ans -= a*(drink-M)
    break
  
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
A, B = map(int, input().split(' '))
ans = A
for i in range(A+1, B+1):
  ans = ans^i
print (ans)

Fixed submission:
A, B = map(int, input().split(' '))
def f(x):
  # xor 0 to x
  if x%4 == 0:
    return x
  if x%4 == 1:
    return 1
  if x%4 == 2:
    return 1^x
  if x%4 == 3:
    return 0
  
print (f(A-1) ^ f(B))
Buggy python submission (verdict: Time Limit Exceeded):
L,R=tuple(map(int,input().split(' ')))

def gcd(m,n):
    temp=0
    while m%n!=0:
        temp=n
        n=m%n
        m=temp
    return n
def lcm(m,n):
    return m*n/gcd(m,n)


temp=[]
for j in range(L,min([L+2*2019+1,R])):
    temp.append([(j*i)%2019 for i in range(j+1,min([j+2*2019+1,R+1]))])

#print(temp)
print(min([min(e) for e in temp]))






Fixed submission:
L,R=tuple(map(int,input().split(' ')))

def gcd(m,n):
    temp=0
    while m%n!=0:
        temp=n
        n=m%n
        m=temp
    return n
def lcm(m,n):
    return m*n/gcd(m,n)


temp=[[(j*i)%2019 for i in range(j+1,min([j+2019+1,R+1]))] for j in range(L,min([L+2019+1,R]))]

#print(temp)
print(min([min(e) for e in temp]))
Buggy python submission (verdict: Runtime Error):
def main():
    mod = 10 ** 9 + 7
    N, K = map(int, input().split())
    fact = Fact(N)
    for i in range(1, K+1):
        ans = (fact(K-1)*fact(N-K+1))//(fact(i-1)*fact(K-i)*fact(i)*fact(N-K-i+1))
        print(ans % mod)

def answer(N, K, i):
    ans = (fact(K-1)*fact(N-K+1))//(fact(i-1)*fact(K-i)*fact(i)*fact(N-K-i+1))
    return ans

class Fact:

    def __init__(self, n):
        self.l = [1] * n
        for i in range(1, n):
            self.l[i] = self.l[i-1] * i

    def __call__(self, k):
        return self.l[k]


main()


Fixed submission:
def main():
    mod = 10 ** 9 + 7
    N, K = map(int, input().split())
    fact = Fact(2*N)
    for i in range(1, K+1):
        ans = (fact(K-1)*fact(N-K+1))//(fact(i-1)*fact(K-i)*fact(i)*fact(N-K-i+1))
        print(ans % mod)

def answer(N, K, i):
    ans = (fact(K-1)*fact(N-K+1))//(fact(i-1)*fact(K-i)*fact(i)*fact(N-K-i+1))
    return ans

class Fact:

    def __init__(self, n):
        self.l = [1] * n
        for i in range(1, n):
            self.l[i] = self.l[i-1] * i

    def __call__(self, k):
        return self.l[k]


main()
Buggy python submission (verdict: Runtime Error):
def main():
    N, K = map(int, input().split())
    V = [int(v) for v in input().split()]

    m = 0

    r = min(N, K)
    for a in range(r+1):
        for b in range(r+1-a):
            if b == 0:
                v = V[:a]
            else:
                v = V[:a] + V[-b:]
            v.sort()    
            for i in range(K-a-b):
                if v[i] >= 0:
                    break
            s = sum(v[i:])
            if s > m:
                m = s

    print(m)


main()


Fixed submission:
def main():
    N, K = map(int, input().split())
    V = [int(v) for v in input().split()]

    m = 0 
    r = min(N, K)
    for a in range(r+1):
        for b in range(r+1-a):
            if b == 0:
                v = V[:a]
            else:
                v = V[:a] + V[-b:]
            v.sort()    
            for i in range(K+1-a-b):
                if i >= len(v):
                    break
                if  v[i] >= 0:
                    break
            s = sum(v[i:])
            if s > m:
                m = s

    print(m)


main()
Buggy python submission (verdict: Time Limit Exceeded):
import fractions
from functools import reduce


def main():

    N = int(input())
    A = [int(a) for a in input().split()]

    maxd = 1
    for n in range(N):
        l = A[:n] + A[n+1:]
        maxd = max(maxd, gcd(*l))

    print(maxd)    


def gcd(*numbers):
    return reduce(fractions.gcd, numbers)


main()


Fixed submission:
import fractions
from functools import reduce


def main():

    N = int(input())
    A = [int(a) for a in input().split()]

    gcds_r = [1] * N
    gcds_r[0] = A[0]
    for n in range(1, N):
        gcds_r[n] = fractions.gcd(gcds_r[n-1], A[n])

    gcds_l = [1] * N
    gcds_l[-1] = A[-1]
    for n in range(N-1)[::-1]:
        gcds_l[n] = fractions.gcd(gcds_l[n+1], A[n])

    max_gcd = 1
    for n in range(1, N-1):
        max_gcd = max(max_gcd, fractions.gcd(gcds_r[n-1], gcds_l[n+1]))

    max_gcd = max(max_gcd, gcds_l[1], gcds_r[N-2])

    print(max_gcd)  


main()

Buggy python submission (verdict: Runtime Error):
import math
from functools import reduce


def main():

    N = int(input())
    A = [int(a) for a in input().split()]

    maxd = 1
    for n in range(N):
        l = A[:n] + A[n+1:]
        maxd = max(maxd, gcd(*l))

    print(maxd)    


def gcd(*numbers):
    return reduce(math.gcd, numbers)


main()


Fixed submission:
import fractions
from functools import reduce


def main():

    N = int(input())
    A = [int(a) for a in input().split()]

    gcds_r = [1] * N
    gcds_r[0] = A[0]
    for n in range(1, N):
        gcds_r[n] = fractions.gcd(gcds_r[n-1], A[n])

    gcds_l = [1] * N
    gcds_l[-1] = A[-1]
    for n in range(N-1)[::-1]:
        gcds_l[n] = fractions.gcd(gcds_l[n+1], A[n])

    max_gcd = 1
    for n in range(1, N-1):
        max_gcd = max(max_gcd, fractions.gcd(gcds_r[n-1], gcds_l[n+1]))

    max_gcd = max(max_gcd, gcds_l[1], gcds_r[N-2])

    print(max_gcd)  


main()