Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
def main():

    import sys
    input = sys.stdin.readline
    from collections import defaultdict

    class Unionfind:

        __slots__ = ['parents','sizes']

        def __init__(self, n):
            self.parents = list(range(n))
            self.sizes = [1]*n

        def root(self, x):
            if self.parents[x] == x:
                return x
            else:
                root_x = self.root(self.parents[x])
                self.parents[x] = root_x
                return root_x

        def unite(self, x, y):
            x = self.root(x); y = self.root(y)
            if x == y:
                return
            if self.sizes[x] < self.sizes[y]:
                x, y = y, x
            self.sizes[x] += self.sizes[y]
            self.parents[y] = x

        def same(self, x, y):
            return self.root(x) == self.root(y)

        # 集合自体の数 ({1,2}, {3}, {4} : kind -> 3)
        def kind(self):
            for v in range(N):
                self.root(v)
            return len(list(set(self.parents)))

        # xが属する集合の要素の数　({1,2,3} : size(2) -> 3)
        def size(self, x):
            self.sizes[x] = self.sizes[self.root(x)]
            return self.sizes[x]

    N, K, L = map(int,input().split())
    road = Unionfind(N)
    train = Unionfind(N)

    for _ in range(K):
        p, q = map(int,input().split())
        p -= 1; q -= 1
        road.unite(p, q)

    for _ in range(L):
        r, s = map(int,input().split())
        r -= 1; s -= 1
        train.unite(r, s)

    ans_list = []

    r = defaultdict(set)
    t = defaultdict(set)
    for i in range(N):
        r[road.root(i)].add(i)
        t[train.root(i)].add(i)

    ans_list = []

    for i in range(N):
        ans = len(r[road.root(i)] & t[train.root(i)])
        ans_list.append(ans)

    print(*ans_list)

if __name__ == "__main__":
    main()

Fixed submission:
S = input()
S = S.replace("eraser","@").replace("erase","@").replace("dreamer","@").replace("dream","@")
if set(S) == set("@"):
    print("YES")
else:
    print("NO")
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
info = [list(map(int,input().split())) for i in range(N)]
def modify(l1,l2):
    i = 1
    while True:
        if l2[0] * i >= l1[0] and l2[1] * i >= l1[1]:
            l2[0] *= i
            l2[1] *= i
            break
        i += 1
for i in range(N-1):
    modify(info[i],info[i+1])
ans = sum(info[-1])
print(ans)

Fixed submission:
N = int(input())
info = [list(map(int,input().split())) for i in range(N)]
def modify(l1,l2):
    # k >= b / a
    # a * k >= b
    k1 = l1[0]//l2[0]
    k2 = l1[1]//l2[1]
    k = max(k1,k2)
    for i in range(k,k+2):
        if l2[0] * i >= l1[0] and l2[1] * i >= l1[1]:
            l2[0] *= i
            l2[1] *= i
            break
for i in range(N-1):
    modify(info[i],info[i+1])
ans = sum(info[-1])
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import math
N = int(input())
info = [list(map(int,input().split())) for i in range(N)]
def modify(l1,l2):
    k1 = math.ceil(l1[0]/l2[0])
    k2 = math.ceil(l1[1]/l2[1])
    bigin = min(k1,k2)
    end = max(k1,k2)
    for i in range(bigin,end+1):
        if l2[0] * i >= l1[0] and l2[1] * i >= l1[1]:
            l2[0] *= i
            l2[1] *= i
            break
for i in range(N-1):
    modify(info[i],info[i+1])
ans = sum(info[-1])
print(ans)

Fixed submission:
N = int(input())
info = [list(map(int,input().split())) for i in range(N)]
def modify(l1,l2):
    # k >= b / a
    # a * k >= b
    k1 = l1[0]//l2[0]
    k2 = l1[1]//l2[1]
    k = max(k1,k2)
    for i in range(k,k+2):
        if l2[0] * i >= l1[0] and l2[1] * i >= l1[1]:
            l2[0] *= i
            l2[1] *= i
            break
for i in range(N-1):
    modify(info[i],info[i+1])
ans = sum(info[-1])
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
info = [list(map(int,input().split())) for i in range(N)]
def modify(l1,l2):
    i = 1
    while True:
        if l2[0] * i >= l1[0] and l2[1] * i >= l1[1]:
            l2[0] *= i
            l2[1] *= i
            break
        i += 1
for i in range(N-1):
    modify(info[i],info[i+1])
ans = sum(info[-1])
print(ans)

Fixed submission:
N = int(input())
info = [list(map(int,input().split())) for i in range(N)]
def modify(l1,l2):
    # k >= b / a
    # a * k >= b
    k1 = l1[0]//l2[0]
    k2 = l1[1]//l2[1]
    k = max(k1,k2)
    for i in range(k,k+2):
        if l2[0] * i >= l1[0] and l2[1] * i >= l1[1]:
            l2[0] *= i
            l2[1] *= i
            break
for i in range(N-1):
    modify(info[i],info[i+1])
ans = sum(info[-1])
print(ans)
Buggy python submission (verdict: Runtime Error):
s = input()
l = [s[0]]
d = len(s) - 1
def operate_1(string):
  return string
def operate_2(string):
  string += "+"
  return string
# l,d は未定義注意
def bfs(list_hoge = l,depth = 0,deepest = d):
    queue = []
    for e in list_hoge:
        for b in [0,1]:
            if b == 0:
                operated = operate_1(e)
                operated += s[depth + 1]
                queue.append(operated)
            elif b == 1:
                operated = operate_2(e)
                operated += s[depth + 1]
                queue.append(operated)
    list_hoge = queue[:]
    depth += 1
    if depth == deepest:
        return list_hoge
    else:
        return bfs(list_hoge,depth)
ans = 0
for e in bfs():
  ans += eval(e)
print(ans)

Fixed submission:
s = input()
l = [s[0]]
d = len(s) - 1
if d == 0:
  print(s)
  exit()
def operate_1(string):
  return string
def operate_2(string):
  string += "+"
  return string
# l,d は未定義注意
def bfs(list_hoge = l,depth = 0,deepest = d):
    queue = []
    for e in list_hoge:
        for b in [0,1]:
            if b == 0:
                operated = operate_1(e)
                operated += s[depth + 1]
                queue.append(operated)
            elif b == 1:
                operated = operate_2(e)
                operated += s[depth + 1]
                queue.append(operated)
    list_hoge = queue[:]
    depth += 1
    if depth == deepest:
        return list_hoge
    else:
        return bfs(list_hoge,depth)
ans = 0
for e in bfs():
  ans += eval(e)
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N,A = map(int,input().split())
X = [int(e) for e in input().split()]
# dp[i][k][s]: i番目まで見てk個選んで総和sとなる場合の数
# 初期条件: dp[0][0][0] = 1
# 遷移: dp[i][k][s] += dp[i-1][k-1][s-X[i]] + dp[i-1][k][s]
# 答え: sum(dp[N][k][k*A] 1 <= k <= N)
s_max = 2500
dp = [[[0]*(s_max+1) for k in range(N+1)] for i in range(N+1)]
dp[0][0][0] = 1
for i in range(1,N+1):
    for k in range(N+1):
        for s in range(s_max+1):
            dp[i][k][s] += dp[i-1][k][s]
            if k != 0 and 0 <= s-X[i-1] <= s_max:
                dp[i][k][s] += dp[i-1][k-1][s-X[i-1]]
ans = 0
for k in range(1,N+1):
    s = k*A
    ans += dp[N][k][s]
print(ans)

Fixed submission:
N,A = map(int,input().split())
X = [int(e)-A for e in input().split()]
# dp[i][s]: i番目まで見て部分和がsとなるような場合の数
# 初期条件: dp[0][0] = 1
# 遷移: dp[i][s] += dp[i-1][s-X[i]] + dp[i-1][s]
# 答え: dp[N][0]
s_max = 5001
dp = [[0]*(s_max+1) for i in range(N+1)]
dp[0][2500] = 1
for i in range(1,N+1):
    for s in range(s_max+1):
        if 0 <= s-X[i-1] <= s_max:
            dp[i][s] += dp[i-1][s-X[i-1]]
        dp[i][s] += dp[i-1][s]
# 全てを選ばなかった1通りは除外
ans = dp[N][2500] - 1
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import itertools
N,A = map(int,input().split())
x = list(map(int,input().split()))
# k個選んだとき k*A == sum(choise)
count = 0
for k in range(1,N+1):
    for ch in itertools.combinations(x,k):
        if sum(ch) == k * A:
            count += 1
print(count)

Fixed submission:
N,A = map(int,input().split())
X = [int(e)-A for e in input().split()]
# dp[i][s]: i番目まで見て部分和がsとなるような場合の数
# 初期条件: dp[0][0] = 1
# 遷移: dp[i][s] += dp[i-1][s-X[i]] + dp[i-1][s]
# 答え: dp[N][0]
s_max = 5001
dp = [[0]*(s_max+1) for i in range(N+1)]
dp[0][2500] = 1
for i in range(1,N+1):
    for s in range(s_max+1):
        if 0 <= s-X[i-1] <= s_max:
            dp[i][s] += dp[i-1][s-X[i-1]]
        dp[i][s] += dp[i-1][s]
# 全てを選ばなかった1通りは除外
ans = dp[N][2500] - 1
print(ans)
Buggy python submission (verdict: Runtime Error):
s = input()
editor = [""]
for e in s:
    if e == "0":
        editor.append("0")
    elif e == "1":
        editor.append("1")
    elif e == "B" and editor != "":
        del editor[-1]
print("".join(editor))

Fixed submission:
s = input()
editor = [""]
for e in s:
    if e == "0":
        editor.append("0")
    elif e == "1":
        editor.append("1")
    elif e == "B" and editor != []:
        del editor[-1]
print("".join(editor))
Buggy python submission (verdict: Runtime Error):
a,b,k = input().strip().split()
a,b,k = [int(a), int(b), int(k)]

if k < a:
	a = a-k
elif k >= a+b:
	a = 0
	b = 0
elif a+b > k > a:
	b = b-(k-a)
	a = 0

print('{} {}'.format(a,b))

Fixed submission:
s,t = input().split()
print(t + s)

Buggy python submission (verdict: Runtime Error):
a,b,k = input().strip().split
a,b,k = [int(a), int(b), int(k)]

if k < a:
	a = a-k
elif k >= a+b:
	a = 0
	b = 0
elif a+b > k > a:
	b = b-(k-a)
	a = 0

print('{} {}'.format(a,b))

Fixed submission:
s,t = input().split()
print(t + s)

Buggy python submission (verdict: Runtime Error):
a,b,k = input().strip().split
a,b,k = [int(a), int(b), int(k)]

if k < a:
	a = a-k
elif k >= a+b:
	a = 0
	b = 0
elif a+b > k > a:
	b = b-(k-a)
    a = 0

Fixed submission:
s,t = input().split()
print(t + s)

Buggy python submission (verdict: Runtime Error):
a,b,k = input().strip().split
a,b,k = [int(a), int(b), int(k)]

if k < a:
	a = a-k
elif k >= a+b:
    a = 0
    b = 0
elif a+b > k > a:
    b = b-(k-a)
	a = 0


Fixed submission:
s,t = input().split()
print(t + s)

Buggy python submission (verdict: Runtime Error):
a,b,k = input().strip().split
a,b,k = [int(a), int(b), int(k)]

for i in range(c):
  if k < a:
    a = a-k
  elif k >= a+b:
    a = 0
    b = 0
  elif a+b > k > a:
    b = b-(k-a)
	a = 0

Fixed submission:
s,t = input().split()
print(t + s)
Buggy python submission (verdict: Runtime Error):
a,b,c = input().strip().split
a,b,c = [int(a), int(b), int(c)]

for i in range(c):
  if a > 0:
    a -= 1
  elif b > 0:
    b -= 1

print('{} {}'.format(a, b))

Fixed submission:
a,b,k = input().strip().split()
a,b,k = [int(a), int(b), int(k)]

if k <= a:
	a = a-k
elif k >= a+b:
	a = 0
	b = 0
elif a+b > k > a:
	b = b-(k-a)
	a = 0

print('{} {}'.format(a,b))
Buggy python submission (verdict: Runtime Error):
treat = input()

acc = 0
hugs = 0

for i in len(treat):
	if treat[acc] = treat[len(treat) - acc]:
		acc = acc + 1
	else:
		hugs = hugs + 1
		acc = acc + 1

print(hugs)

Fixed submission:
treat = input()

acc = 0
hugs = 0

for i in range(len(treat) // 2):
	if treat[acc] == treat[len(treat) - 1 - acc]:
		acc = acc + 1
	else:
		hugs = hugs + 1
		acc = acc + 1

print(hugs)

Buggy python submission (verdict: Runtime Error):
treat = input()

acc = 0
hugs = 0

for i in len(treat):
	if treat[acc] = treat[len(treat) - acc]:
		acc = acc + 1
	else:
		hugs = hugs + 1
		acc = acc + 1

Fixed submission:
treat = input()

acc = 0
hugs = 0

for i in range(len(treat) // 2):
	if treat[acc] == treat[len(treat) - 1 - acc]:
		acc = acc + 1
	else:
		hugs = hugs + 1
		acc = acc + 1

print(hugs)
Buggy python submission (verdict: Runtime Error):
a, p = map(int, input().split())
print(sum(3 * a + p)//2)


Fixed submission:
a, p = map(int, input().split())
total = 3 * a + p
print(total//2)
Buggy python submission (verdict: Runtime Error):
dfsfd

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

print(b+a)

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

if a <= k:
  k -= a
  a = 0
else:
  a -= k
  k = 0

b = max(0, b - k)

print(a, b)

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

print(b+a)

Buggy python submission (verdict: Runtime Error):
a,b,k = map(int,input().split())
num = min(a,k)
a -= num
k -= num
print(a,max(b-k,0))


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

print(b+a)

Buggy python submission (verdict: Runtime Error):
a,b,k = map(int,input().split())
num = min(a,k)
a -= num
k -= num
print(a,max(b-k,0))

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

print(b+a)

Buggy python submission (verdict: Runtime Error):
A, B, K = list(map(int, input().split()))

if A == 0:
  print(0, max(0, B - K))
elif B == 0:
  print(max(0, A - K), 0)
elif K == 0:
  print(A, B)

A_from_0 = A
B_from_0 = B

if (A_from_0 - K) >= 0:
  A -= K
  K = 0
else:
  A = 0
  K -= A_from_0
  
if (B_from_0 - K) > 0:
  B -= K
  K = 0
else:
  B = 0
  K -= B_from_0

if K == 0:
  print(A, B)
if K == 1:
  print(0, 1)
elif K > 1:
  print(0, 0)


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

print(b+a)

Buggy python submission (verdict: Runtime Error):
A, B, K = list(map(int, input().split()))

if A == 0:
  print(0, max(0, B - K))
elif B == 0:
  print(max(0, A - K), 0)
elif K == 0:
  print(A, B)

A_from_1 = A - 1
B_from_1 = B - 1

if (A_from_1 - K) >= 0:
  A -= K
  K = 0
else:
  A = 1
  K -= A_from_1
  
if (B_from_1 - K) > 0:
  B -= K
  K = 0
else:
  B = 1
  K -= B_from_1

if K == 0:
  print(A, B)
if K == 1:
  print(0, 1)
elif K > 1:
  print(0, 0)


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

print(b+a)

Buggy python submission (verdict: Runtime Error):
A, B, K = list(map(int, input().split()))

diff = abs(A - B)
a_is_higher = A > B

if K <= diff:
  if a_is_higher:
  	print(A-K, B)
  else:
    print(A, B-K)
else:
  if a_is_higher:
  	A -= diff
  else:
    B -= diff
  K -= diff
  div, mod = divmod(K, 2)
  
  nA = A - div
  nB = B - div
  
  if mod:
    nA -= 1
  
  nA = max(0, nA)
  nB = max(0, nB)
  
  print(nA, nB)

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

print(b+a)

Buggy python submission (verdict: Runtime Error):
A, B, K = list(map(int, input().split()))

diff = abs(A - B)
a_is_higher = A > B

if K <= diff:
  if a_is_higher:
  	print(A-K, B)
  else:
    print(A, B-K)
else:
  if a_is_higher:
  	A -= diff
  else:
    B -= diff
  K -= diff
  div, mod = divmod(K, 2)
  
  nA = Math.max(0, A // 2)
  nB = Math.max(0, B // 2)
  
  if mod:
    print(nA, nB + 1)
  else:
    print(nA, nB)

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

print(b+a)

Buggy python submission (verdict: Runtime Error):
a = input()
b = input()

if a[0] < b[0]:
  print(a+b)
else:
  print(b+a)

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

print(b+a)
Buggy python submission (verdict: Runtime Error):
n = int(input())
s, t = map(int, input().split())

result = ''
for idx in range(n):
  result += s[idx] + t[idx]

  print(result)

Fixed submission:
n = int(input())
s, t = input().split()

result = ''
for idx in range(n):
  result += s[idx] + t[idx]

print(result)
Buggy python submission (verdict: Time Limit Exceeded):
def lcm(x, y):
  greater = max(x, y)
  
  while True:
    if (greater % x == 0) and (greater % y == 0):
      lcm = greater
      break
    
    greater += 1
          
  return lcm

a, b = map(int, input().split())

print(lcm(a, b))


Fixed submission:
def gcd(x, y):
  while(y):
    x, y = y, x % y
  return x

def lcm(x, y):
  lcm = (x*y) // gcd(x,y)
  return lcm

a, b = map(int, input().split())

print(lcm(a, b))
Buggy python submission (verdict: Runtime Error):
a1, a2, a3 = map(int, input().split(' '))
    if (a1 + a2 + a3) >=22:
        print("bust")
    else:
        print("win")

Fixed submission:

if __name__ == '__main__':
    a1, a2, a3 = map(int, input().split(' '))
    if (a1 + a2 + a3) >=22:
        print("bust")
    else:
        print("win")
Buggy python submission (verdict: Time Limit Exceeded):
import math

if __name__ == '__main__':
    n = int(input())
    N = math.ceil(math.sqrt(n))
    k = n+1
    for i in range(n):
        if n % N == 0:
            print(int(n/N - 1) + N - 1)
            break
        else:
            N = N + 1

Fixed submission:
n = int(input())
s = int(n ** 0.5)
list = []
for i in range(1, s + 1):
    if n % i == 0:
        list.append(int(i + n / i - 2))
print(min(list))

Buggy python submission (verdict: Time Limit Exceeded):
if __name__ == '__main__':
    x = int(input())
    ans = x+2
    for i in range(x, 0, -1):
        if x % i == 0:
            q = (int(x/i) - 1) + (i-1)
            if q < ans:
                ans = q
            else:
                print((int(x/i) - 1) + (i-1))
                break

Fixed submission:
n = int(input())
s = int(n ** 0.5)
list = []
for i in range(1, s + 1):
    if n % i == 0:
        list.append(int(i + n / i - 2))
print(min(list))
Buggy python submission (verdict: Runtime Error):

a, b = map(int, input.split(''))
ans = a - 2 * b
if ans < 0:
	ans = 0
print(ans)

Fixed submission:

a, b = map(int, input().split(' '))
ans = a - 2 * b
if ans < 0:
	ans = 0
print(ans)

Buggy python submission (verdict: Runtime Error):
a, b = map(int, input.split(''))
ans = a - 2 * b
if ans < 0:
  ans = 0
 print(ans)

Fixed submission:

a, b = map(int, input().split(' '))
ans = a - 2 * b
if ans < 0:
	ans = 0
print(ans)
Buggy python submission (verdict: Runtime Error):
N, Q = map(int, input().split())
to = [[] for _ in range(N)]

def dfs(v, p = -1):
    for u in to[v]:
        ans[u] += ans[v]
        dfs(u, v)

for _ in range(N-1):
    a, b = map(int, input().split())
    to[a-1].append(b-1)

ans = [0] * N
for _ in range(Q):
    p, x = map(int, input().split())
    ans[p-1] += x

dfs(0)
for i in range(N):
    print(ans[i], end=' ')


Fixed submission:
a = int(input())
s = input()

if a >= 3200:
    print(s)
else:
    print('red')

Buggy python submission (verdict: Runtime Error):
class Node:
    def __init__(self, parent, num):
        self.parent = parent
        self.num = num
        self.score = 0

    def add_score(self, score):
        self.score += score

class Tree:
    @classmethod
    def calc_sum(cls, node):
        if node.parent:
            return node.score + cls.calc_sum(node.parent)
        else:
            return node.score

N, Q = map(int, input().split())
A = [0] * N
B = [0] * N
for i in range(1, N):
    A[i], B[i] = map(int, input().split())

P = [0] * (Q+1)
X = [0] * (Q+1)
for i in range(1, Q+1):
    P[i], X[i] = map(int, input().split())

nodes = [0] * (N+1)
nodes[1] = Node(None, 1)

for i in range(1, N):
    nodes[B[i]] = Node(nodes[A[i]], B[i])

for i in range(1, Q+1):
    nodes[P[i]].add_score(X[i])

for i in range(1, N+1):
    sum_score = Tree.calc_sum(nodes[i])
    print(sum_score, end=' ')


Fixed submission:
a = int(input())
s = input()

if a >= 3200:
    print(s)
else:
    print('red')
Buggy python submission (verdict: Runtime Error):
    K, X = list(map(int, input().split()))
    minimum = max(-1000000, X - (K - 1))
    maximum = min(X + (K - 1), 1000000)
    print(' '.join(map(str, range(minimum, maximum + 1))))


Fixed submission:
K, X = list(map(int, input().split()))
minimum = max(-1000000, X - (K - 1))
maximum = min(X + (K - 1), 1000000)
print(' '.join(map(str, range(minimum, maximum + 1))))
Buggy python submission (verdict: Runtime Error):
import sys
input = sys.stdin.readline

s = input()
n = len(s)

ans = [0 for _ in range(n)]
cnt = 0
for i in range(n):
    if s[i] == 'R':
        cnt += 1
    else:
        ans[i] += cnt // 2
        ans[i-1] += (cnt + 1) // 2
        cnt = 0
cnt = 0
s_inv = ''.join(reversed(s))
for i in range(n):
    if s_inv[i] == 'L':
        cnt += 1
    else:
        ans[n-i-1] += cnt // 2
        ans[n-i] += (cnt + 1) // 2
        cnt = 0
print(' '.join(map(str, ans)))


Fixed submission:
s = input()
n = len(s)

ans = [0 for _ in range(n)]
cnt = 0
for i in range(n):
    if s[i] == 'R':
        cnt += 1
    else:
        ans[i] += cnt // 2
        ans[i-1] += (cnt + 1) // 2
        cnt = 0
cnt = 0
s_inv = ''.join(reversed(s))
for i in range(n):
    if s_inv[i] == 'L':
        cnt += 1
    else:
        ans[n-i-1] += cnt // 2
        ans[n-i] += (cnt + 1) // 2
        cnt = 0
print(' '.join(map(str, ans)))

Buggy python submission (verdict: Runtime Error):
import sys
input = sys.stdin.readline

s = input()
n = len(s)

ans = [0 for _ in range(n)]
cnt = 0
for i in range(n):
    if s[i] == 'R':
        cnt += 1
    else:
        ans[i] += cnt // 2
        ans[i-1] += (cnt + 1) // 2
        cnt = 0
s_inv = ''.join(reversed(s))
for i in range(n):
    if s_inv[i] == 'L':
        cnt += 1
    else:
        ans[n-i-1] += cnt // 2
        ans[n-i] += (cnt + 1) // 2
        cnt = 0
print(' '.join(map(str, ans)))


Fixed submission:
s = input()
n = len(s)

ans = [0 for _ in range(n)]
cnt = 0
for i in range(n):
    if s[i] == 'R':
        cnt += 1
    else:
        ans[i] += cnt // 2
        ans[i-1] += (cnt + 1) // 2
        cnt = 0
cnt = 0
s_inv = ''.join(reversed(s))
for i in range(n):
    if s_inv[i] == 'L':
        cnt += 1
    else:
        ans[n-i-1] += cnt // 2
        ans[n-i] += (cnt + 1) // 2
        cnt = 0
print(' '.join(map(str, ans)))
Buggy python submission (verdict: Runtime Error):
s = input()
s = s[::-1]
mod = 10 ** 9 + 7
table = [[0] * 13 for _ in range(len(s) + 2)]
table[0][0] = 1
dd = 1
for c in range(len(s)):
    if s[c] == "?":
        for n in range(10):
            for i in range(13):
                table[c + 1][(i + n * dd) % 13] += table[c][i]
                table[c + 1][(i + n * dd) % 13] %= mod
    else:
        num = int(s[c])
        for i in range(13):
            table[c + 1][(i + num * dd) % 13] += table[c][i]
            table[c + 1][(i + num * dd) % 13] %= mod
    dd = (dd * 10) % 13
print(table[c + 1][5])

Fixed submission:
import sys
input = sys.stdin.readline

A, B = map(int, input().split())
if (A + B) % 2 == 0:
    print( (A + B) // 2)
else:
    print('IMPOSSIBLE')
Buggy python submission (verdict: Runtime Error):
import sys
input = sys.stdin.readline

N = int(input())
A = [0] + list(map(int, input().split()))
B = [0] * (N+1)aimport sys
input = sys.stdin.readline

N = int(input())
A = [0] + list(map(int, input().split()))
B = [0] * (N+1)

ans = []
for i in list(range(N, 0, -1)):
    sum = 0
    for j in list(range(2 * i, N, i)):
        sum ^= B[j]
    B[i] = sum ^ A[i]
    if B[i]:
        ans.append(str(i))

print(len(ans))
if ans:
    print(' '.join(ans))


ans = []
for i in range(N, 0, -1):
    sum = 0
    for j in range(2 * i, N, i):
        sum ^= B[j]
    B[i] = sum ^ A[i]
    if B[i]:
        ans.append(str(i))
        
print(len(ans))
if ans:
    print(' '.join(ans))


Fixed submission:
import sys
input = sys.stdin.readline

N = int(input())
A = [0] + list(map(int, input().split()))
B = [0] * (N+1)

ans = []
for i in range(N, 0, -1):
    sum = 0
    for j in range(2 * i, N+1, i):
        sum ^= B[j]
    B[i] = sum ^ A[i]
    if B[i]:
        ans.append(str(i))

print(len(ans))
if ans:
    print(' '.join(ans))

Buggy python submission (verdict: Runtime Error):
import sys
input = sys.stdin.readline

N = int(input())
A = [0] + list(map(int, input().split()))
B = [0 for _ in range(N+1)]

for i in range(N, 0, -1):aimport sys
input = sys.stdin.readline

N = int(input())
A = [0] + list(map(int, input().split()))
B = [0] * (N+1)

for i in range(N, 0, -1):
    sum = 0
    for j in range(2 * i, N, i):
        sum ^= B[j]
    B[i] = sum ^ A[i]
ans = []
for i in range(1, N+1):
    if B[i]:
        ans.append(str(i))
print(len(ans))
if ans:
    print(' '.join(ans))

    sum = 0
    for j in range(2 * i, N, i):
        sum ^= B[j]
    B[i] = sum ^ A[i]
ans = []
for i in range(1, N+1):
    if B[i]:
        ans.append(str(i))
print(len(ans))
if ans:
    print(' '.join(ans))


Fixed submission:
import sys
input = sys.stdin.readline

N = int(input())
A = [0] + list(map(int, input().split()))
B = [0] * (N+1)

ans = []
for i in range(N, 0, -1):
    sum = 0
    for j in range(2 * i, N+1, i):
        sum ^= B[j]
    B[i] = sum ^ A[i]
    if B[i]:
        ans.append(str(i))

print(len(ans))
if ans:
    print(' '.join(ans))
Buggy python submission (verdict: Time Limit Exceeded):
L, R = map(int, input().split())
mod = 2019

minimum = 2019
for i in range(L, R):
    mod_i = i % mod
    for j in range(i+1, R+1):
        mod_j = j % mod
        result = (mod_i * mod_j) % mod
        if result < minimum:
            minimum = result
print(minimum)


Fixed submission:
L, R = map(int, input().split())
mod = 2019

minimum = 2019
for i in range(L, R):
    mod_i = i % mod
    for j in range(i+1, R+1):
        mod_j = j % mod
        result = (mod_i * mod_j) % mod
        if result < minimum:
            minimum = result
        if minimum == 0:
            print(0)
            exit(0)
print(minimum)