Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
str1 = input()
n = len(str1)
m = (n-1)/2
o = (n+3)/2
str2 = str1[:m]
str3 = str1[o:n]
if str1 != str1[::-1]:
	print("No")
else:
  	if str2 != str2[::-1]:
    	print("No")
    else:
    	if str3 != str3[::-1]:
        	print("No")
        else:
        	print("Yes")
    	
	

Fixed submission:
str1 = input()
n = len(str1)
m = int((n-1)/2)
o = int((n+3)/2)
str2 = str1[:m]
str3 = str1[(o-1):n]
if str1 != str1[::-1]:
	print("No")
else:
    if str2 != str2[::-1]:
	    print("No")
    else:   
        if str3 != str3[::-1]:
            print("No")
        else:
            print("Yes")
Buggy python submission (verdict: Runtime Error):
A,B,C,D=map(int,input())
if(A/D<C/B):
  print('No')
else:
  print('Yes')


Fixed submission:
A,B,C,D=map(int,input().split())
atA=0
atC=0
while(A>0):
    A-=D 
    atA+=1 
while(C>0):
    C-=B 
    atC+=1
#print(atA,atC)
if(atA>=atC):
    print('Yes')
else:
    print('No')
Buggy python submission (verdict: Runtime Error):
i_l_s = input().split()
i_l = list(map(int, i_l_s))
 
hour = i_l[4]//60
min = i[4]%60
 
before = [i_l[0]+hour, i_l[1]+min]
after = [i_l[2], i_l[3]]
 
if(after[0]-before[0] ==0):
    print(after[1]-before[1])
else:
  print(after[1]-before[1] + 60(after[0]-before[0]))

Fixed submission:
i_l_s = input().split()
i_l = list(map(int, i_l_s))
 
hour = i_l[4]//60
min = i_l[4]%60
 
before = [i_l[0]+hour, i_l[1]+min]
after = [i_l[2], i_l[3]]
 
if(after[0]-before[0] ==0):
    print(after[1]-before[1])
else:
  result = after[1]-before[1] + 60*(after[0]-before[0])
  print(result)

Buggy python submission (verdict: Runtime Error):
i_l_s = input().split()
i_l = list(map(int, i_l_s))

hour = i_l[4]//60
min = i[4]%60

before = [i_l[0]+hour, i_l[1]+min]
after = [i_l[2], i_l[3]]

if(after[0]-before[0] ==0):
  else:
    print(after[1]-before[1])
else:
  print(after[1]-before[1] + 60(after[0]-before[0]))

Fixed submission:
i_l_s = input().split()
i_l = list(map(int, i_l_s))
 
hour = i_l[4]//60
min = i_l[4]%60
 
before = [i_l[0]+hour, i_l[1]+min]
after = [i_l[2], i_l[3]]
 
if(after[0]-before[0] ==0):
    print(after[1]-before[1])
else:
  result = after[1]-before[1] + 60*(after[0]-before[0])
  print(result)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int, input().split()))
ans = 0
for i in range(N):
    a = A[i]
    for j in range(min(A[i] + i, N), N):
        if a + A[j] == j - i:
            ans += 1

print(ans)


Fixed submission:
N = int(input())
A = list(map(int, input().split()))
ans = 0

d = {}

for i, a in enumerate(A):
    tmp = i + 1 - a
    if tmp in d.keys():
        d[tmp] += 1
    else:
        d[tmp] = 1

# print(d)

for i, a in enumerate(A):
    tmp = a + i + 1
    tmptmp = i + 1 - a
    if tmp in d.keys():
        ans += d[tmp]
    if tmptmp in d.keys():
        d[tmptmp] = max(0, d[tmptmp] - 1)

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import math

K = int(input())
ans = 0
for i in range(1, K + 1):
    for j in range(1, K + 1):
        for k in range(1, K + 1):
            ans += math.gcd(i, math.gcd(j, k))

print(ans)


Fixed submission:
import math

K = int(input())
ans = 0
for i in range(1, K + 1):
    for j in range(1, K + 1):
        for k in range(1, K + 1):
            ans += math.gcd(i, math.gcd(j, k))

print(ans)

Buggy python submission (verdict: Runtime Error):
N = int(input())
S = list(input())

r = 0
g = 0
b = 0
for s in S:
    if s == 'R':
        r += 1
    elif s == 'G':
        g += 1
    else:
        b += 1
ans = r * b * g

d = 1
while True:
    if 2 * d >= N:
        break
    i = 0
    while True:
        j = i + d
        k = j + d
        if k >= N:
            break
        if S[i] != S[j] and S[i] != S[k] and S[j] != S[k]:
            ans -= 1
        i += 1
    d += 1

print(ans)


Fixed submission:
import math

K = int(input())
ans = 0
for i in range(1, K + 1):
    for j in range(1, K + 1):
        for k in range(1, K + 1):
            ans += math.gcd(i, math.gcd(j, k))

print(ans)
Buggy python submission (verdict: Runtime Error):
N, M = map(int, input().split())
A = list(map(int, input().split()))

A.sort(reverse=True)
if A[M] < 1/(4*M):
  print('Yes')
else:
  print('No')


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

A.sort(reverse=True)
if A[M - 1] >= sum(A)/(4*M):
  print('Yes')
else:
  print('No')
Buggy python submission (verdict: Runtime Error):
N, X, Y = map(int, input().split())

from scipy.sparse.csgraph import csgraph_from_dense, floyd_warshall

edge = [[-1] * N for _ in range(N)]
for i in range(N - 1):
    edge[i][i + 1] = 1
    edge[i + 1][i] = 1
edge[X - 1][Y - 1] = 1
edge[Y - 1][X - 1] = 1

# 隣接行列
G = csgraph_from_dense(edge, null_value=-1)
# 下準備 重みがnull_valueの辺は存在しないとうこと
# 別に隣接行列のままでいい,今回は存在しない辺があるため

d = floyd_warshall(G, directed=True)
# directed初期値True 逆走もできるか

# print(d)

ans = [0] * (N)

for i in range(N):
    for j in range(i, N):
        ans[int(d[i][j])] += 1

[print(i) for i in ans[1:]]


Fixed submission:
N, X, Y = map(int, input().split())

ans = [0] * (N)

for i in range(1, N):
    for j in range(i + 1, N + 1):
        d = min(j - i, abs(X - i) + abs(j - Y) + 1)
        ans[d] += 1

for a in ans[1:]:
    print(a)

Buggy python submission (verdict: Time Limit Exceeded):
N, X, Y = map(int, input().split())

from scipy.sparse.csgraph import csgraph_from_dense, floyd_warshall

edge = [[-1] * N for _ in range(N)]
for i in range(N - 1):
    edge[i][i + 1] = 1
    edge[i + 1][i] = 1
edge[X - 1][Y - 1] = 1
edge[Y - 1][X - 1] = 1

# 隣接行列
G = csgraph_from_dense(edge, null_value=-1)
# 下準備 重みがnull_valueの辺は存在しないとうこと
# 別に隣接行列のままでいい,今回は存在しない辺があるため

d = floyd_warshall(G, directed=True)
# directed初期値True 逆走もできるか

# print(d)

ans = [0] * (N)

for i in range(N):
    for j in range(i, N):
        ans[int(d[i][j])] += 1

[print(i) for i in ans[1:]]


Fixed submission:
N, X, Y = map(int, input().split())

ans = [0] * (N)

for i in range(1, N):
    for j in range(i + 1, N + 1):
        d = min(j - i, abs(X - i) + abs(j - Y) + 1)
        ans[d] += 1

for a in ans[1:]:
    print(a)
Buggy python submission (verdict: Runtime Error):
N, M = map(int, input().split())

import numpy as np

A = np.asarray(range(N))
B = np.asarray(range(M))
A = A.cumsum()
B = B.cumsum()

print(A[-1] + B[-1])


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

import numpy as np

A = np.asarray(range(max(1, N)))
B = np.asarray(range(max(1, M)))
A = A.cumsum()
B = B.cumsum()

print(A[-1] + B[-1])
Buggy python submission (verdict: Runtime Error):
from collections import deque

S = list(input())
Q = int(input())
d = deque(S)
flag = -1
for _ in range(Q):
    q = list(input().split())
    if q[0] == '1':
        flag *= -1
    else:
        f = int(q[1])
        c = q[2]
        if flag == 1 and f == 1 or flag == -1 and f == 2:
            d.appendleft(c)
        else:
            d.append(c)

if flag == -1:
    d = d[::-1]

print(''.join(d))


Fixed submission:
from collections import deque

S = list(input())
Q = int(input())
d = deque(S)
flag = -1
for _ in range(Q):
    q = list(input().split())
    if q[0] == '1':
        flag *= -1
    else:
        f = int(q[1])
        c = q[2]
        if flag == -1 and f == 1 or flag == 1 and f == 2:
            d.appendleft(c)
        else:
            d.append(c)
d = list(d)
if flag == 1:
    d = d[::-1]

print(''.join(d))
Buggy python submission (verdict: Runtime Error):
N, R = map(int, input().split())
if N >= 10:
    print(R)
else:
    print(100 * (10 - K))

Fixed submission:
N, R = map(int, input().split())
if N >= 10:
    print(R)
else:
    print(R + (100 * (10 - N)))
Buggy python submission (verdict: Runtime Error):
N = int(input().split())
A = list(map(int, input(),split()))

for a in A:
    if a % 2 == 0:
        if a % 3 != 0 and a % 5 != 0:
            print('DENIED')
            exit()

print('APPROVED')


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

for a in A:
    if a % 2 == 0:
        if a % 3 != 0 and a % 5 != 0:
            print('DENIED')
            exit()

print('APPROVED')
Buggy python submission (verdict: Runtime Error):
N, K = map(int, input().split())
P = list(map(int, input().split()))
l = []

for i in range(N):
    l.append((P[i] + 1) / 2)

n = 0
for i in range(N):
    n += l[i]
    l[i] = n

ans = l[K]
for i in range(N - K):
    ans = max(ans, l[i + K] - l[i])

print(ans)


Fixed submission:
N, K = map(int, input().split())
P = list(map(int, input().split()))
l = []

for i in range(N):
    l.append((P[i] + 1) / 2)

n = 0
for i in range(N):
    n += l[i]
    l[i] = n

ans = l[K - 1]
for i in range(N - K):
    ans = max(ans, l[i + K] - l[i])

print(ans)
# print(l)
Buggy python submission (verdict: Runtime Error):
H, A = map(int, input().split())

print(H // A + min(H % A))


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

print(H // A + min(H % A, 1))
Buggy python submission (verdict: Runtime Error):
H = int(input())
W = int(input())
N = int(input())
import math
print(int(math.ceil(N // max(H, W)))

Fixed submission:
H = int(input())
W = int(input())
N = int(input())
import math
print(int(math.ceil(N / max(H, W))))
Buggy python submission (verdict: Runtime Error):
X, Y = map(int, input().split())

ans = 0

def f(n):
    if n == 3:
        tmp = 100000
    elif n == 2:
        tmp = 200000
    elif n == 1:
        tmp= 300000

ans = f(X) + f(Y)

if ans == 600000:
    ans += 400000

print(ans)


Fixed submission:
X, Y = map(int, input().split())

ans = 0

if X == 3:
    ans += 100000
elif X == 2:
    ans += 200000
elif X == 1:
    ans += 300000

if Y == 3:
    ans += 100000
elif Y == 2:
    ans += 200000
elif Y == 1:
    ans += 300000


if ans == 600000:
    ans += 400000

print(ans)
Buggy python submission (verdict: Runtime Error):
N = int(input())
A = list(map(int, input().split()))
B = sorted(set(A))
if N % 3 == 0:
    if len(B) == 1 and B[0] == 0:
        print('Yes')
        exit()
    if len(B) == 2 and A.count(0) == N // 3 and A.count(B[1]) == 2 * N // 3:
        if B[0] ^ B[1] ^ B[2] == 0:
            print('Yes')
            exit()
    if len(B) == 3 and A.count(B[0]) == A.count(B[1]) == A.count(B[2]):
        print('Yes')
        exit()

print('No')


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

if len(B) == 1 and B[0] == 0:
    print('Yes')
    exit()

if N % 3 == 0:
    if len(B) == 2 and A.count(0) == N // 3:
        print('Yes')
        exit()
    if len(B) == 3 and A.count(B[0]) == A.count(B[1]) == A.count(B[2]):
        if B[0] ^ B[1] ^ B[2] == 0:
            print('Yes')
            exit()

print('No')
Buggy python submission (verdict: Runtime Error):
a


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

def cmb(n, r, mod):
    if ( r<0 or r>n ):
        return 0
    r = min(r, n-r)
    return g1[n] * g2[r] * g2[n-r] % mod

mod = 10**9+7 #出力の制限
P = 10**4
g1 = [1, 1] # 元テーブル 階乗
g2 = [1, 1] #逆元テーブル 逆元の階乗
inverse = [0, 1] #逆元テーブル計算用テーブル

for i in range( 2, P + 1 ):
    g1.append( ( g1[-1] * i ) % mod )
    inverse.append( ( -inverse[mod % i] * (mod//i) ) % mod )
    g2.append( (g2[-1] * inverse[-1]) % mod )

#a = cmb(n,r,mod)

print(N - K + 1)

for i in range(2, K + 1):
    ans = cmb(K - 1, i - 1, mod) * cmb(N - K + 1, i, mod) % mod
    print(ans)
Buggy python submission (verdict: Runtime Error):
N = int(input())
W = list(map(int, input().split()))
l = sum(W)
r = 0
ans = l
for w in W:
    l -= w
    r += w
    ans = min(abs(r - l))

print(ans)

Fixed submission:
N = int(input())
W = list(map(int, input().split()))
l = sum(W)
r = 0
ans = l
for w in W:
    l -= w
    r += w
    ans = min(abs(r - l), ans)

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N, M = map(int, input().split())
A = [int(input()) for _ in range(M)]
mod = 10 ** 9 + 7

dp = [0] * (N + 1)
dp[0] = 1

for i in range(N):
    if i + 1 not in A:
        dp[i + 1] += dp[i]
    if i + 2 <= N and i + 2 not in A:
        dp[i + 2] += dp[i]

print(dp[N] % mod)
# print(dp)


Fixed submission:
import sys
sys.setrecursionlimit(1000000)
N, M = map(int, input().split())
#a = [0 for _ in range(N + 1)]
dp = [-1 for _ in range(N + 1)]
dp[0] = 1
for _ in range(M):
    a = int(input())
    dp[a] = 0
mod = 10**9 + 7

def f(n):
    if n < 0:
        return 0
    if dp[n] == -1:
        dp[n] = (f(n - 1) + f(n - 2)) % mod
    return dp[n]
print(f(N))

Buggy python submission (verdict: Time Limit Exceeded):
N, M = map(int, input().split())
A = [int(input()) for _ in range(M)]
mod = 10 ** 9 + 7

dp = [0] * (N + 1)
dp[0] = 1

for i in range(N):
    if i + 1 not in A:
        dp[i + 1] += dp[i]
    if i + 2 <= N and i + 2 not in A:
        dp[i + 2] += dp[i]

print(dp[N] % mod)
# print(dp)


Fixed submission:
import sys
sys.setrecursionlimit(1000000)
N, M = map(int, input().split())
#a = [0 for _ in range(N + 1)]
dp = [-1 for _ in range(N + 1)]
dp[0] = 1
for _ in range(M):
    a = int(input())
    dp[a] = 0
mod = 10**9 + 7

def f(n):
    if n < 0:
        return 0
    if dp[n] == -1:
        dp[n] = (f(n - 1) + f(n - 2)) % mod
    return dp[n]
print(f(N))

Buggy python submission (verdict: Runtime Error):
N, M = map(int, input().split())
#a = [0 for _ in range(N + 1)]
dp = [-1 for _ in range(N + 1)]
dp[0] = 1
for _ in range(M):
    a = int(input())
    dp[a] = 0
mod = 10**9 + 7

def f(n):
    if n < 0:
        return 0
    if dp[n] == -1:
        dp[n] = (f(n - 1) + f(n - 2)) % mod
    return dp[n]
print(f(N))


Fixed submission:
import sys
sys.setrecursionlimit(1000000)
N, M = map(int, input().split())
#a = [0 for _ in range(N + 1)]
dp = [-1 for _ in range(N + 1)]
dp[0] = 1
for _ in range(M):
    a = int(input())
    dp[a] = 0
mod = 10**9 + 7

def f(n):
    if n < 0:
        return 0
    if dp[n] == -1:
        dp[n] = (f(n - 1) + f(n - 2)) % mod
    return dp[n]
print(f(N))
Buggy python submission (verdict: Time Limit Exceeded):
H, W = map(int, input().split())
S = [list(input()) for _ in range(H)]
SH = []
SW = []

for h in range(H):
    SW.append([])
    c = 0
    for w in range(W):
        if S[h][w] == '#':
            if c != 0:
                for _ in range(c):
                    SW[h].append(c)
            SW[h].append(0)
            c = 0
        else:
            c += 1
    for _ in range(c):
        SW[h].append(c)

for w in range(W):
    SH.append([])
    c = 0
    for h in range(H):
        if S[h][w] == '#':
            if c != 0:
                for _ in range(c):
                    SH[w].append(c)
            SH[w].append(0)
            c = 0
        else:
            c += 1
    for _ in range(c):
        SH[w].append(c)

ans = -1
for h in range(H):
    for w in range(W):
        ans = max(ans, SW[h][w] + SH[w][h] - 1)

print(ans)


Fixed submission:
H, W = map(int, input().split())
S = [list(input()) for _ in range(H)]
SH = []
SW = []

for h in range(H):
    SW.append([])
    c = 0
    for w in range(W):
        if S[h][w] == '#':
            if c != 0:
                for _ in range(c):
                    SW[h].append(c)
            SW[h].append(0)
            c = 0
        else:
            c += 1
    for _ in range(c):
        SW[h].append(c)

for w in range(W):
    SH.append([])
    c = 0
    for h in range(H):
        if S[h][w] == '#':
            if c != 0:
                for _ in range(c):
                    SH[w].append(c)
            SH[w].append(0)
            c = 0
        else:
            c += 1
    for _ in range(c):
        SH[w].append(c)

ans = -1
for h in range(H):
    for w in range(W):
        ans = max(ans, SW[h][w] + SH[w][h] - 1)

print(ans)
Buggy python submission (verdict: Runtime Error):
A, B = map(int, input())
if A >= 13:
    print(B)
elif 6 <= A <= 12:
    print(B // 2)
else:
    print(0)

Fixed submission:
A, B = map(int, input().split())
if A >= 13:
    print(B)
elif 6 <= A <= 12:
    print(B // 2)
else:
    print(0)
Buggy python submission (verdict: Runtime Error):
N = int(input())
A = []
B = []
for _ in range(N):
    a, b = map(int, input().split())
    A.append(a)
    B.append(b)
ans = min(B) - max(A) + 1

if ans < 1:
    print(0)
else:
    print(ans)

Fixed submission:
N, M = map(int, input().split())
A = []
B = []
for _ in range(M):
    a, b = map(int, input().split())
    A.append(a)
    B.append(b)
ans = min(B) - max(A) + 1

if ans < 1:
    print(0)
else:
    print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
R, G, B, N = map(int, input().split())

def is_integer_num(n):
    if isinstance(n, int):
        return True
    if isinstance(n, float):
        return n.is_integer()
    return False

ans = 0

for i in range(N + 1):
    for j in range(N + 1):
        t = (N - G * i - B * j)
        if is_integer_num(t / R) and t >= 0:
            ans += 1

print(ans)


Fixed submission:
R, G, B, N = map(int, input().split())

def is_integer_num(n):
    if isinstance(n, int):
        return True
    if isinstance(n, float):
        return n.is_integer()
    return False

ans = 0

for i in range(N + 1):
    for j in range(N + 1):
        t = (N - G * i - B * j)
        if is_integer_num(t / R) and t >= 0:
            ans += 1

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
R, G, B, N = map(int, input().split())

def is_integer_num(n):
    if isinstance(n, int):
        return True
    if isinstance(n, float):
        return n.is_integer()
    return False

ans = 0

for i in range(N + 1):
    for j in range(N + 1):
        t = (N - G * i - B * j)
        if is_integer_num(t / R) and t >= 0:
            ans += 1

print(ans)


Fixed submission:
R, G, B, N = map(int, input().split())

def is_integer_num(n):
    if isinstance(n, int):
        return True
    if isinstance(n, float):
        return n.is_integer()
    return False

ans = 0

for i in range(N + 1):
    for j in range(N + 1):
        t = (N - G * i - B * j)
        if is_integer_num(t / R) and t >= 0:
            ans += 1

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
R, G, B, N = map(int, input().split())

def is_integer_num(n):
    if isinstance(n, int):
        return True
    if isinstance(n, float):
        return n.is_integer()
    return False

ans = 0

for i in range(N + 1):
    for j in range(N + 1):
        t = (N - G * i - B * j)
        if is_integer_num(t / R) and t >= 0:
            ans += 1

print(ans)


Fixed submission:
R, G, B, N = map(int, input().split())

def is_integer_num(n):
    if isinstance(n, int):
        return True
    if isinstance(n, float):
        return n.is_integer()
    return False

ans = 0

for i in range(N + 1):
    for j in range(N + 1):
        t = (N - G * i - B * j)
        if is_integer_num(t / R) and t >= 0:
            ans += 1

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
R, G, B, N = map(int, input().split())

def is_integer_num(n):
    if isinstance(n, int):
        return True
    if isinstance(n, float):
        return n.is_integer()
    return False

ans = 0

for i in range(N + 1):
    for j in range(N + 1):
        t = (N - G * i - B * j)
        if is_integer_num(t / R) and t >= 0:
            ans += 1

print(ans)


Fixed submission:
R, G, B, N = map(int, input().split())

def is_integer_num(n):
    if isinstance(n, int):
        return True
    if isinstance(n, float):
        return n.is_integer()
    return False

ans = 0

for i in range(N + 1):
    for j in range(N + 1):
        t = (N - G * i - B * j)
        if is_integer_num(t / R) and t >= 0:
            ans += 1

print(ans)
Buggy python submission (verdict: Runtime Error):
N = int(input())
import math
ans = 0
for k in range(1, int(math.sqrt(N) + 1)):
    # print(k - 1, N // k - 1)
    m = N // k - 1
    if N % k == 0 and N // m == N % m:
        ans += m

print(ans)


Fixed submission:
N = int(input())
import math
ans = 0
for k in range(1, int(math.sqrt(N) + 1)):
    # print(k - 1, N // k - 1)
    m = N // k - 1
    if m != 0:
        if N % k == 0 and N // m == N % m:
            ans += m

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
from fractions import gcd
 
N = int(input())
A = list(map(int, input().split()))
 
ans = 0
 
for i in range(N):
    tmp = A[:i] + A[i + 1:]
    g = 0
    for j in range(N - 1):
        g = gcd(tmp[j], g)
    ans = max(g, ans)
 
print(ans)

Fixed submission:
from fractions import gcd
 
N = int(input())
A = list(map(int, input().split()))
l = []
r = []
k = 0
for i in range(N):
    k = gcd(k , A[i])
    l.append(k)
k = 0
for i in range(N - 1, -1, -1):
    k = gcd(k, A[i])
    r.append(k)
ans = 0
for i in range(N):
    ans = max(ans, gcd(l[i - 1], r[N - i - 2]))

ans = max(ans, l[N - 2], r[N - 2])

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
""" AtCoder """

A, B = map(int, input().split())

A_str = bin(A)
B_str = bin(B)

if len(A_str) == len(B_str):
    ans = 0
    for i in range(A, B + 1):
        ans = ans ^ i
    print(ans)
    exit()

A_max = '0b1'
for _ in range(len(A_str) - 2):
    A_max += '0'
B_min = '0b1'
for _ in range(len(B_str) - 3):
    B_min += '0'
ans = '0b1'
for _ in range(len(B_str) - 3):
    ans += '0'

ans = int(ans, 0)

for i in range(A, int(A_max, 0)):
    ans ^= i
for i in range(int(B_min, 0) + 1, B + 1):
    ans ^= i

print(ans)


Fixed submission:
""" AtCoder """

A, B = map(int, input().split())

if A % 2 == 0 and B % 2 == 0:
    if (B - A) % 4 == 0:
        tmp = 0
    else:
        tmp = 1
    print(tmp ^ B)
elif A % 2 != 0 and B % 2 == 0:
    if (B - A - 1) % 4 == 0:
        tmp = 0
    else:
        tmp = 1
    print(A ^ tmp ^ B)
elif A % 2 == 0 and B % 2 != 0:
    if (B - A + 1) % 4 == 0:
        tmp = 0
    else:
        tmp = 1
    print(tmp)
else:
    if (B - A) % 4 == 0:
        tmp = 0
    else:
        tmp = 1
    print(A ^ tmp)

Buggy python submission (verdict: Time Limit Exceeded):
""" AtCoder """

A, B = map(int, input().split())

ans = 0
for i in range(A, B + 1):
    ans = ans ^ i

print(ans)


Fixed submission:
""" AtCoder """

A, B = map(int, input().split())

if A % 2 == 0 and B % 2 == 0:
    if (B - A) % 4 == 0:
        tmp = 0
    else:
        tmp = 1
    print(tmp ^ B)
elif A % 2 != 0 and B % 2 == 0:
    if (B - A - 1) % 4 == 0:
        tmp = 0
    else:
        tmp = 1
    print(A ^ tmp ^ B)
elif A % 2 == 0 and B % 2 != 0:
    if (B - A + 1) % 4 == 0:
        tmp = 0
    else:
        tmp = 1
    print(tmp)
else:
    if (B - A) % 4 == 0:
        tmp = 0
    else:
        tmp = 1
    print(A ^ tmp)
Buggy python submission (verdict: Runtime Error):
""" AtCoder """

import math

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

ans = A[0]

for i in range(1, N):
    ans = math.gcd(ans, A[i])

print(ans)


Fixed submission:
""" AtCoder """

from fractions import gcd

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

ans = A[0]

for i in range(1, N):
    ans = gcd(ans, A[i])

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N, W = map(int, input().split())
wv = [list(map(int, input().split())) for _ in range(N)]

dp = [[0] * (W + 1) for _ in range(N + 1)]

for i in range(N):
    for w in range(W + 1):
        dp[i + 1][w] = dp[i][w]
        if w - wv[i][0] >= 0:
            dp[i + 1][w] = max(dp[i + 1][w], dp[i][w - wv[i][0]] + wv[i][1])

print(dp[N][W])


Fixed submission:
N, W = map(int, input().split())
wv = [list(map(int, input().split())) for _ in range(N)]

dp = [[0] * (W + 1) for _ in range(N + 1)]

for i in range(N):
    for w in range(W + 1):
        dp[i + 1][w] = dp[i][w]
        if w - wv[i][0] >= 0:
            dp[i + 1][w] = max(dp[i + 1][w], dp[i][w - wv[i][0]] + wv[i][1])

print(dp[N][W])