Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
from collections import Counter
N = int(input())

ws = []

for i in range(N):
    w = input()
    ws.append(Counter(w))

res = 0
for i in range(N-1):
    for j in range(i+1,N):
        if ws[i] == ws[j]:
            res += 1

print(res)

Fixed submission:
from collections import Counter
N = int(input())

res =0
cd = {}

for i in range(N):
    w = "".join(sorted(input()))
    if cd.get(w, 0):
        res += cd[w]
        cd[w] += 1
    else:
        cd[w] = 1
print(res)
Buggy python submission (verdict: Runtime Error):
N = int(input())
A = list(map(int, input().split()))
B = list(map(int, input().split()))


# Imperative solution
# res = 0
# rem = 0

# for i in range(N):
#     mobs_rem = min(A[i], rem)
#     A[i] -= mobs_rem
#     mobs = min(A[i], B[i])
#     rem = B[i] - mobs
#     res += (mobs+mobs_rem)

# res += min(A[N], rem)
# print(res)

# Functional
def rec(idx, res, rem):
    if idx == N:
        res += min(A[idx], rem)
        return res
    mobs_rem = min(A[idx], rem)
    mobs = min(A[idx] - mobs_rem, B[idx])
    rem = B[idx] - mobs
    res += (mobs + mobs_rem)
    return rec(idx+1, res, rem)


print(rec(0, 0, 0))


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

res = 0
rem = 0

for i in range(N):
    mobs_rem = min(A[i], rem)
    A[i] -= mobs_rem
    mobs = min(A[i], B[i])
    rem = B[i] - mobs
    res += (mobs+mobs_rem)

res += min(A[N], rem)
print(res)
Buggy python submission (verdict: Runtime Error):
L, R = map(int, input().split())


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


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

z = 2019

if R-L>= 2019:
    print(0)
else:
    for l in range(L,R):
        for r in range(l+1, R+1):
            z = min(z, ((l % 2019) * (r % 2019)) % 2019)
    print(z)
Buggy python submission (verdict: Runtime Error):
from math import ceil, floor,gcd

def lcm(a, b):
    return abs(a*b) // gcd(a, b)

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


Cdiff = floor(B/C) - floor((A-1)/C)
Ddiff = floor(B/D) - floor((A-1)/D)

CD = lcm(C,D)
CDdiff = floor(B/CD) - floor((A-1)/CD)



res = Cdiff+Ddiff-CDdiff
print((B-A+1)-res)



Fixed submission:
from math import floor

def gcd(a,b):
    while b:
        a, b = b , a%b
    return a

def lcm(a, b):
    return abs(a*b) // gcd(a, b)

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

def n(n):
    c = n // C
    d = n // D
    cd = n // lcm(C,D)
    return n - c - d + cd

print(n(B)-n(A-1))
Buggy python submission (verdict: Runtime Error):
N, X = map(int, input().split())
L = list(map(int, input().split()))

s = 0
i = 1

while s <= X:
    s += L[i-1]
    i += 1

print(i-1)   

Fixed submission:
N, X = map(int, input().split())
L = list(map(int, input().split()))
pref_sum = [0]*(N+1)
ans = 0

for i in range(N):
    pref_sum[i+1] = L[i]+pref_sum[i]



for s in pref_sum:
    if s <= X:
        ans += 1     
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
l = list(map(int, input().split()))
max_gcd = 1

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

def gcd_list(l):
    max_gcd = l[0]
    for el in l[1:]:
        max_gcd = gcd(max_gcd,el)
    return max_gcd


for i in range(N):
    max_gcd = max(max_gcd, gcd_list(l[:i]+l[i+1:]))

print(max_gcd)


Fixed submission:
N = int(input())
l = list(map(int, input().split()))
l_gcd = [None] * N
l_gcd[0] = l[0]


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


for i in range(1, N):
    l_gcd[i] = gcd(l_gcd[i-1], l[i])

r_gcd = [None] * N
r_gcd[-1] = l[-1]

for i in range(2, N+1):
    r_gcd[-i] = gcd(r_gcd[-i+1], l[-i])

max_gcd = max(l_gcd[-2], r_gcd[1])

for i in range(1, N-1):
    max_gcd = max(max_gcd, gcd(l_gcd[i-1], r_gcd[i+1]))

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

if M == 1:
    print(0)
else:
    l.sort()
    l_dist =[]

    for i in range(1, M):
        l_dist.append(abs(l[i]-l[i-1]))

    l_dist.sort()

    for i in range(N-1):
       del l_dist[-1]

    print(sum(l_dist))

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

if (N>= M) or (M == 1):
    print(0)
else:
    l.sort()
    l_dist =[]

    for i in range(1, M):
        l_dist.append(abs(l[i]-l[i-1]))

    l_dist.sort()

    ans = sum(l_dist[:len(l_dist) - (N-1)])

    print(ans)

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

if M == 1:
    print(0)
else:
    l.sort()
    l_dist =[]
    
    for i in range(1, M):
        l_dist.append(abs(l[i]-l[i-1]))

    l_dist.sort()

    for i in range(N-1):
        l_dist.pop()

    print(sum(l_dist))

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

if (N>= M) or (M == 1):
    print(0)
else:
    l.sort()
    l_dist =[]

    for i in range(1, M):
        l_dist.append(abs(l[i]-l[i-1]))

    l_dist.sort()

    ans = sum(l_dist[:len(l_dist) - (N-1)])

    print(ans)

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

if M == 1:
    print(0)
else:
    l.sort()
    l_dist =[]
    for i in range(1, M):
        l_dist.append(abs(l[i]-l[i-1]))

    l_dist.sort()

    for i in range(N-1):
        l_dist.pop()

    print(sum(l_dist))

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

if (N>= M) or (M == 1):
    print(0)
else:
    l.sort()
    l_dist =[]

    for i in range(1, M):
        l_dist.append(abs(l[i]-l[i-1]))

    l_dist.sort()

    ans = sum(l_dist[:len(l_dist) - (N-1)])

    print(ans)

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

if M == 1:
    print(1)
else:
    l.sort()
    l_dist =[]
    for i in range(1, M):
        l_dist.append(abs(l[i]-l[i-1]))

    l_dist.sort()

    for i in range(N-1):
        l_dist.pop()

    print(sum(l_dist))

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

if (N>= M) or (M == 1):
    print(0)
else:
    l.sort()
    l_dist =[]

    for i in range(1, M):
        l_dist.append(abs(l[i]-l[i-1]))

    l_dist.sort()

    ans = sum(l_dist[:len(l_dist) - (N-1)])

    print(ans)
Buggy python submission (verdict: Runtime Error):
import numpy as np

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

elev_counted =[abs((T-x*0.006)-A) for x in map(int,input().split())]
print(np.argmin(elev_counted)+1)


Fixed submission:

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

elev_counted =[abs((T-x*0.006)-A) for x in map(int,input().split())]

print(elev_counted.index(min(elev_counted))+1)
Buggy python submission (verdict: Runtime Error):
n = int(input())
n = n % 4


for i in range(26):
  n += 4
  if s % 7 == 0:
    print("Yes")
  if i == 25:
    print("No")
  

Fixed submission:
from math import ceil

N = int(input())
is_possible = False

for i in range((N//4)+1):
    for j in range((N//7)+1):
        if 4*i+7*j == N:
            is_possible = True
            break
    if is_possible:
        break

if is_possible:
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Runtime Error):
N = int(input())
ll = map(int,input().split())
 
print(max(ll)-min(ll))

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

print(max(ll)-min(ll))

Buggy python submission (verdict: Runtime Error):
N = int(input())
ll = map(int,input())
 
print(max(ll)-min(ll))

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

print(max(ll)-min(ll))

Buggy python submission (verdict: Runtime Error):
N = int(input())
ll = map(int,input())

print(max(ll)-min(ll))

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

print(max(ll)-min(ll))
Buggy python submission (verdict: Runtime Error):
from math import log2

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

res = 0

for l in L:
    while (l % 2 == 0):
        res += 1
        l = l //  2
    
print(res)

Fixed submission:
from math import log2

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

res = 0

for num in L:
    l = num
    while (l % 2 == 0):
        res += 1
        l = l //  2
    
print(res)
Buggy python submission (verdict: Runtime Error):
n,m,k = map(int, input().split())
a = list(map(int, input().split()))
b = list(map(int, input().split()))

A = [0]
B = [0]
for i in range(n):
	A.append(A[i]+a[i])
for j in range(m):
	B.append(B[j]+b[j])

#print(A,B)

maxij = 0
l = m
for i in range(n+1):
	for j in range(m):
#		print(i,l,A[i],B[l],k)
		if((A[i]+B[l]) <= k):
		 	maxij=max(maxij,i+l)
#		 	print("mm",maxij)
		 	break
		else:
		 	l-=1
print(maxij)

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

A = [0]
B = [0]
for i in range(n):
	A.append(A[i]+a[i])
for j in range(m):
	B.append(B[j]+b[j])

#print(A,B)

maxij = 0
l = m
for i in range(n+1):
	for j in range(m):
#		print(i,l,A[i],B[l],k)
		if(l == -1):
			break
		elif((A[i]+B[l]) <= k):
		 	maxij=max(maxij,i+l)
#		 	print("mm",maxij)
		 	break
		else:
		 	l-=1
print(maxij)

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

A = [0]
B = [0]
for i in range(n):
	A.append(A[i]+a[i])
for j in range(m):
	B.append(B[j]+b[j])

print(A,B)

maxij = 0
l = m
for i in range(n+1):
	for j in range(m):
#		print(i,l,A[i],B[l],k)
		if((A[i]+B[l]) <= k):
		 	maxij=max(maxij,i+l)
#		 	print("mm",maxij)
		 	break
		else:
		 	l-=1
print(maxij)

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

A = [0]
B = [0]
for i in range(n):
	A.append(A[i]+a[i])
for j in range(m):
	B.append(B[j]+b[j])

#print(A,B)

maxij = 0
l = m
for i in range(n+1):
	for j in range(m):
#		print(i,l,A[i],B[l],k)
		if(l == -1):
			break
		elif((A[i]+B[l]) <= k):
		 	maxij=max(maxij,i+l)
#		 	print("mm",maxij)
		 	break
		else:
		 	l-=1
print(maxij)
Buggy python submission (verdict: Runtime Error):
x,n = map(int, input().split())
valid = [1] *101
p = list(map(int, input().split()))
for i in range(n):
	valid[p[i]] = 0

for j in range(x):
	#print(x,j,x-j,x+j)
	if(valid[x-j] == 1):
		print(x-j)
		break
	elif(valid[x+j] == 1):
		print(x+j)
		break


Fixed submission:
x,n = map(int, input().split())
valid = [1] *101
p = list(map(int, input().split()))
for i in range(n):
	valid[p[i]] = 0

#print(valid)

for j in range(100):
#	print(x,j,x-j,x+j)
#	print(valid[x-j])
#	print(valid[x+j])
	if((x-j) >= 1):
		if(valid[x-j] == 1):
			print(x-j)
			break
	else:
		print(0)
		break
	if((x+j) <= 100):
#		print("aaa")
		if(valid[x+j] == 1):
			print(x+j)
			break
	else:
		print(101)
		break
Buggy python submission (verdict: Runtime Error):
 = int(input())
a = list(map(int, input().split()))
MAX = 10**18

ret = 1
for i in range(n):
	if(ret <= MAX):
		ret = ret*a[i]
	if(a[i] == 0):
		ret = 0
		break


if(ret > 10**18):
	print(-1)
else:
	print(ret)

Fixed submission:
n = int(input())
a = list(map(int, input().split()))
MAX = 10**18

ret = 1
for i in range(n):
	if(ret <= MAX):
		ret = ret*a[i]
	if(a[i] == 0):
		ret = 0
		break


if(ret > MAX):
	print(-1)
else:
	print(ret)

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = list(map(int, input().split()))

ret = 1
for i in range(n):
	ret = ret*a[i]

if(ret > 10**18):
	print(-1)
else:
	print(ret)

Fixed submission:
n = int(input())
a = list(map(int, input().split()))
MAX = 10**18

ret = 1
for i in range(n):
	if(ret <= MAX):
		ret = ret*a[i]
	if(a[i] == 0):
		ret = 0
		break


if(ret > MAX):
	print(-1)
else:
	print(ret)
Buggy python submission (verdict: Time Limit Exceeded):
def cwrlp(data,r):
	if r <= 0:
		return []
	
	result = []
	_cwrlp(data, r, 0, [], result)
	return result

def _cwrlp(data, r, start, progress, result):
	if r == 0:
		result.append(progress)
		return
	
	for i in range(start, len(data)):
		_cwrlp(data, r-1, i, progress + [data[i]], result)

n,m,q = map(int, input().split())
abcd = [list(map(int, input().split())) for _ in range(q)]

dataset = cwrlp(range(1,m+1),n)

#print(dataset)
ret = 0
for da in dataset:
#	print(da)
	ans = 0
	for i in range(q):
		a = abcd[i][0]
		b = abcd[i][1]
		c = abcd[i][2]
		d = abcd[i][3]
		if(da[b-1]-da[a-1] == c):
			ans += d
#			print(a,b,c,d,ans)
	ret = max(ret,ans)
print(ret)

Fixed submission:
def cwrlp(data,r):
	if r <= 0:
		return []
	
	result = []
	_cwrlp(data, r, 0, [], result)
	return result

def _cwrlp(data, r, start, progress, result):
	if r == 0:
		result.append(progress)
		return
	
	for i in range(start, len(data)):
		_cwrlp(data, r-1, i, progress + [data[i]], result)

n,m,q = map(int, input().split())
abcd = [list(map(int, input().split())) for _ in range(q)]

#dataset = cwrlp(range(1,m+1),n)

#print(dataset)
ret = 0
for da in cwrlp(range(1,m+1),n):
#	print(da)
	ans = 0
	for i in range(q):
		a = abcd[i][0]
		b = abcd[i][1]
		c = abcd[i][2]
		if(da[b-1]-da[a-1] == c):
			d = abcd[i][3]
			ans += d
#			print(a,b,c,d,ans)
	ret = max(ret,ans)
print(ret)
Buggy python submission (verdict: Time Limit Exceeded):
def gcd(a,b):
	i = a
	j = b
	while i!=j:
		if i > j:
			i = i-j
		else :
			j = j - i
	return i

k = int(input())

ret = 0
for i in range(1,k+1):
	for j in range(1,k+1):
		for l in range(1,k+1):
			g = gcd(i,gcd(j,l))
			#print("i:",i," j:",j," l:",l," gcd:", g)
			ret += g
print(ret)

Fixed submission:
def gcd(a,b):
	i = a
	j = b
	while i!=j:
		if i > j:
			i = i-j
		else :
			j = j - i
	return i

k = int(input())

ret = 0
for i in range(1,k+1):
	for j in range(i,k+1):
		for l in range(j,k+1):
			g = gcd(i,gcd(j,l))
			if (i == j) and (j == l):
				m = 1
			elif (i == j) or (j == l) or (l == i):
				m = 3
			else :
				m = 6
			#print("i:",i," j:",j," l:",l," gcd:", g," m:",m)
			ret += g*m
print(ret)
Buggy python submission (verdict: Time Limit Exceeded):
n, k = map(int, input().split())
mod = 10 ** 9 + 7

s = [0 for i in range(k+1)]

ret = 0
for i in range(k,0,-1):
	a = int(k/i)
	c = a ** n
	for j in range(2,k+1):
#		print("aaa",i,j,k)
		if i*j <= k:
			c -= s[i*j]
		else :
			break
	s[i] = c
#	print(i,a,c%mod,(c*i)%mod)
	ret = (ret+(c%mod)*i)%mod
print(ret)

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

s = [0 for i in range(k+1)]

ret = 0
for i in range(k,0,-1):
	a = int(k/i)
	c = pow(a,n,mod)
	for j in range(2,k+1):
#		print("aaa",i,j,k)
		if i*j <= k:
			c -= s[i*j]
		else :
			break
	s[i] = c%mod
#	print(i,a,c%mod,(c*i)%mod)
	ret = (ret+(c%mod)*i)%mod
print(ret)
Buggy python submission (verdict: Time Limit Exceeded):
n,m = map(int, input().split())
s = list(map(int, input().split()))
t = list(map(int, input().split()))
PR = 1000000007

dp = [[0 for j in range(m+1)] for i in range(n+1)]

for i in range(n+1):
	dp[i][0] = 1

for j in range(m+1):
	dp[0][j] = 1 

for i in range(n):
	for j in range(m):
		#aa
		sumI = 0
		
		for jj in range(0,j):
			if s[i] == t[jj]:
				sumI=(sumI + dp[i][jj]) % PR
		
		sumJ = 0
		for ii in range(0,i):
			if t[j] == s[ii]:
				sumJ=(sumJ + dp[ii][j]) % PR
		
		if s[i] == t[j]:
			dp[i+1][j+1] = (sumI + sumJ + dp[i][j] + dp[i][j]) % PR
		else:
			dp[i+1][j+1] = (sumI + sumJ + dp[i][j]) % PR
#		print("i: %d j: %d  sumI: %d sumJ:%d dp[i][j]:%d" % (i+1,j+1,sumI,sumJ,dp[i+1][j+1]))

#print(dp)
print(dp[n][m])

Fixed submission:
n,m = map(int, input().split())
s = list(map(int, input().split()))
t = list(map(int, input().split()))
PR = 1000000007

dp = [[0 for j in range(m+1)] for i in range(n+1)]

for i in range(n+1):
	dp[i][0] = 1

for j in range(m+1):
	dp[0][j] = 1 

for i in range(n):
	for j in range(m):
		#aa
		sumI = 0
		sumI = dp[i+1][j]
#		for jj in range(0,j):
#			if s[i] == t[jj]:
#				sumI=(sumI + dp[i][jj]) % PR
		
		sumJ = 0
		sumJ = dp[i][j+1]
#		for ii in range(0,i):
#			if t[j] == s[ii]:
#				sumJ=(sumJ + dp[ii][j]) % PR
		
		if s[i] == t[j]:
			dp[i+1][j+1] = (sumI + sumJ) % PR
		else:
			dp[i+1][j+1] = (sumI + sumJ - dp[i][j]) % PR
#		print("i: %d j: %d  sumI: %d sumJ:%d dp[i][j]:%d" % (i+1,j+1,sumI,sumJ,dp[i+1][j+1]))

#print(dp)
print(dp[n][m])

Buggy python submission (verdict: Time Limit Exceeded):
n,m = map(int, input().split())
s = list(map(int, input().split()))
t = list(map(int, input().split()))
PR = 1000000007

dp = [[0 for j in range(m+1)] for i in range(n+1)]

for i in range(n+1):
	dp[i][0] = 1

for j in range(m+1):
	dp[0][j] = 1 

for i in range(n):
	for j in range(m):
		#aa
		sumI = 0
		
		for jj in range(0,j):
			if s[i] == t[jj]:
				sumI=(sumI + dp[i][jj]) % PR
		
		sumJ = 0
		for ii in range(0,i):
			if t[j] == s[ii]:
				sumJ=(sumJ + dp[ii][j]) % PR
		
		if s[i] == t[j]:
			dp[i+1][j+1] = (sumI + sumJ + dp[i][j] + dp[i][j]) % PR
		else:
			dp[i+1][j+1] = (sumI + sumJ + dp[i][j]) % PR
#		print("i: %d j: %d  sumI: %d sumJ:%d dp[i][j]:%d" % (i+1,j+1,sumI,sumJ,dp[i+1][j+1]))

#print(dp)
print(dp[n][m])

Fixed submission:
n,m = map(int, input().split())
s = list(map(int, input().split()))
t = list(map(int, input().split()))
PR = 1000000007

dp = [[0 for j in range(m+1)] for i in range(n+1)]

for i in range(n+1):
	dp[i][0] = 1

for j in range(m+1):
	dp[0][j] = 1 

for i in range(n):
	for j in range(m):
		#aa
		sumI = 0
		sumI = dp[i+1][j]
#		for jj in range(0,j):
#			if s[i] == t[jj]:
#				sumI=(sumI + dp[i][jj]) % PR
		
		sumJ = 0
		sumJ = dp[i][j+1]
#		for ii in range(0,i):
#			if t[j] == s[ii]:
#				sumJ=(sumJ + dp[ii][j]) % PR
		
		if s[i] == t[j]:
			dp[i+1][j+1] = (sumI + sumJ) % PR
		else:
			dp[i+1][j+1] = (sumI + sumJ - dp[i][j]) % PR
#		print("i: %d j: %d  sumI: %d sumJ:%d dp[i][j]:%d" % (i+1,j+1,sumI,sumJ,dp[i+1][j+1]))

#print(dp)
print(dp[n][m])
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
xor_arr = list(map(int, input().split()))
xor_of_xor = 0
for elm in xor_arr:
    xor_of_xor = xor_of_xor ^ elm
    scarf_val = [xor_of_xor ^ elm for elm in xor_arr]
         
print(" ".join(str(x) for x in scarf_val))

Fixed submission:
n = int(input())
xor_arr = list(map(int, input().split()))
xor_of_xor = 0
for elm in xor_arr:
    xor_of_xor = xor_of_xor ^ elm
scarf_val = [xor_of_xor ^ elm for elm in xor_arr]
         
print(" ".join(str(x) for x in scarf_val))

Buggy python submission (verdict: Runtime Error):
        n = int(input())
        xor_arr = list(map(int, input().split()))
        xor_of_xor = 0
        for elm in xor_arr:
            xor_of_xor = xor_of_xor ^ elm
        scarf_val = [xor_of_xor ^ elm for elm in xor_arr]
        print(" ".join(str(x) for x in scarf_val))

Fixed submission:
n = int(input())
xor_arr = list(map(int, input().split()))
xor_of_xor = 0
for elm in xor_arr:
    xor_of_xor = xor_of_xor ^ elm
scarf_val = [xor_of_xor ^ elm for elm in xor_arr]
         
print(" ".join(str(x) for x in scarf_val))

Buggy python submission (verdict: Runtime Error):
    n = int(input())
    xor_arr = list(map(int, input().split()))
    xor_of_xor = 0
    for elm in xor_arr:
        xor_of_xor = xor_of_xor ^ elm
    scarf_val = [xor_of_xor ^ elm for elm in xor_arr]
     
    print(" ".join(str(x) for x in scarf_val))

Fixed submission:
n = int(input())
xor_arr = list(map(int, input().split()))
xor_of_xor = 0
for elm in xor_arr:
    xor_of_xor = xor_of_xor ^ elm
scarf_val = [xor_of_xor ^ elm for elm in xor_arr]
         
print(" ".join(str(x) for x in scarf_val))
Buggy python submission (verdict: Runtime Error):
N, M, K = map(int,input().split())
A = list(map(int,input().split()))
B = list(map(int,input().split()))
sum_list = []
for i in range(N):
  if K < sum(A[:i+1]):
    break
  for j in range(M):
    sum_ = sum(A[:i+1]) + sum(B[:j+1])
    if sum_ <= K:
      sum_list.append(len(A[:i+1]) + len(B[:j+1]))
    elif K < sum_:
      break
if 1 <= len(sum_list):
  print(max(sum_list))
elif 0 == len(sum_list):
  print(0)

Fixed submission:
a = int(input())
res = a + a**2 + a**3
print(res)
Buggy python submission (verdict: Runtime Error):
A, B = map(int, input().split())
flg = True
for i in range(1, 4):
    if (A * B * i) % 2 == 1:
        flg = False
        break
if flg == False:
    print('Yes')
elif == True:
    print('No')

Fixed submission:
A, B = map(int, input().split())
flg = False
for i in range(1, 4):
    if (A * B * i) % 2 == 1:
        flg = True
        break
if flg:
    print('Yes')
else:
    print('No')
Buggy python submission (verdict: Runtime Error):
N = int(input())

lis = []

for i in range(N):
	lis.append(int(input()))
	
lis.sort(reverse = True)

for i in range(N):
	if N - 1 == i:
		break
	
	if lis.count(lis[i]) >= 2:
		del lis[i]
	

print(len(lis))

Fixed submission:
N = int(input())

Ans = set()

for i in range(N):
	Ans.add(int(input()))
	
print(len(Ans))
Buggy python submission (verdict: Runtime Error):
N = int(input())

lis = list(map(int,input().split()))

lis.sort()

Ans = 0

p = 0

while(True):
	
	if p >= N:
		break
	
	if lis[p] > lis.count(lis[p]):
		Ans += lis.count(lis[p])
		p += lis.count(lis[p])
	
	if lis[p] == lis.count(lis[p]):
		p += lis.count(lis[p])
	
	if lis[p] < lis.count(lis[p]):
		Ans += lis.count(lis[p]) - lis[p]
		p += lis.count(lis[p])
		
print(Ans)

Fixed submission:
from collections import Counter

N = int(input())

numList = list(map(int, input().split()))

counter = Counter(numList)

ans = 0

for k, v in counter.items():
	if(k == v):
		continue
	elif(k < v):
		ans += v-k
	elif(k > v):
		ans += v

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())

lis = list(map(int,input().split()))

lis.sort()

Ans = 0

p = 0

while(True):
	
	if p >= N:
		break
	
	if lis[p] > lis.count(lis[p]):
		Ans += lis.count(lis[p])
		p += lis.count(lis[p])
		continue
	
	if lis[p] == lis.count(lis[p]):
		p += lis.count(lis[p])
		continue
	
	if lis[p] < lis.count(lis[p]):
		Ans += lis.count(lis[p]) - lis[p]
		p += lis.count(lis[p])
		
print(Ans)

Fixed submission:
from collections import Counter

N = int(input())

numList = list(map(int, input().split()))

counter = Counter(numList)

ans = 0

for k, v in counter.items():
	if(k == v):
		continue
	elif(k < v):
		ans += v-k
	elif(k > v):
		ans += v

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())


def lukas(n):
	if n == 1:
		return 2
	if n == 2:
		return 1
	else:
		return lukas(n-1) + lukas(n-2)
		
print(lukas(N+1))	
	
		

Fixed submission:
n = int(input())

lucas = []
lucas.append(2)
lucas.append(1)

if n >= 2:
	for i in range(2,n+1):
		lucas.append(lucas[i-1] + lucas[i-2])
	print(lucas[n])
else:
	print(lucas[n])
Buggy python submission (verdict: Runtime Error):
R,G = map(float, input().split())

X = 2*G - R
print(int(X))

Fixed submission:
R = int(input())
G = int(input())
X = 2*G - R
print(X)

Buggy python submission (verdict: Runtime Error):
R,G = map(float, input().split())

X = 2*G - R
print(X)

Fixed submission:
R = int(input())
G = int(input())
X = 2*G - R
print(X)
Buggy python submission (verdict: Runtime Error):
O = input()

E = input()

Ans = ""

for i in range(len(O)):
	Ans += O[i]
	Ans += E[i]
print(Ans)

Fixed submission:
O = input()

E = input()

Ans = ""

for i in range(len(O)):
	Ans += O[i]
	if i < len(E):
		Ans += E[i]
print(Ans)

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

E = input()

Ans = ""

for i in range(max(len(O),len(E))):
	Ans += O[i]
	Ans += E[i]
	
print(Ans)

Fixed submission:
O = input()

E = input()

Ans = ""

for i in range(len(O)):
	Ans += O[i]
	if i < len(E):
		Ans += E[i]
print(Ans)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())

power = 1

for i in range(1,N+1):
	power *= i
	
print(power%(1000000007))

Fixed submission:
N = int(input())

power = 1

for i in range(1,N+1):
	power *= i
	power %= 1000000007
	
print(power)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())

power = 1

for i in range(1,N+1):
	power *= i
	
print(power%(10**9+7))

Fixed submission:
N = int(input())

power = 1

for i in range(1,N+1):
	power *= i
	power %= 1000000007
	
print(power)