Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
from itertools import combinations

n = int(input())
a = list(map(int, input().split()))
b = list(map(int, input().split()))
a2=list()
b2=list()

for i in range(n):
    if i%2:
        b2.append(a[i])
        a2.append(b[i])
    else:
        a2.append(a[i])
        b2.append(b[i])

ans=10**9
for idx in combinations(range(0,n), (n+1)//2):
    a3=list()
    b3=list()
    flag=True
    for i in range(n):
        if i in idx:
            a3.append([a2[i], i])
        else:
            b3.append([b2[i], i])
    a3.sort(key=lambda x:x[0])
    b3.sort(key=lambda x:x[0])

    for i in range(len(b3)-1):
        if a3[i][0]>b3[i][0] or a3[i+1][0]<b3[i][0]:
            flag=False
    if len(a3)>len(b3):
        if a3[-1][0]<b3[-1][0] or a3[-2][0]>b3[-1][0]:
            flag=False
    elif a3[-1][0]>b3[-1][0]:
        flag=False

    if flag:
        ansidx = list()
        for i in range(len(b3)):
            ansidx.append(a3[i][1])
            ansidx.append(b3[i][1])
        if len(a3)>len(b3):
            ansidx.append(a3[-1][1])

        swap=0
        for i in range(n):
            for j in range(i,n):
                if ansidx[i]>ansidx[j]:
                    swap+=1
        ans= min(ans, swap)

if ans==10**9:
    print('-1')
else:
    print(ans)

            





Fixed submission:
from itertools import combinations
import sys
n = int(input())
a = list(map(int, input().split()))
b = list(map(int, input().split()))
a2=list()
b2=list()

if n==1:
    print(0)
    sys.exit()
    
for i in range(n):
    if i%2:
        b2.append(a[i])
        a2.append(b[i])
    else:
        a2.append(a[i])
        b2.append(b[i])

ans=10**9
for idx in combinations(range(0,n), (n+1)//2):
    a3=list()
    b3=list()
    flag=True
    for i in range(n):
        if i in idx:
            a3.append([a2[i], i])
        else:
            b3.append([b2[i], i])
    a3.sort(key=lambda x:x[0])
    b3.sort(key=lambda x:x[0])

    for i in range(len(b3)-1):
        if a3[i][0]>b3[i][0] or a3[i+1][0]<b3[i][0]:
            flag=False
    if len(a3)>len(b3):
        if a3[-1][0]<b3[-1][0] or a3[-2][0]>b3[-1][0]:
            flag=False
    elif a3[-1][0]>b3[-1][0]:
        flag=False

    if flag:
        ansidx = list()
        for i in range(len(b3)):
            ansidx.append(a3[i][1])
            ansidx.append(b3[i][1])
        if len(a3)>len(b3):
            ansidx.append(a3[-1][1])

        swap=0
        for i in range(n):
            for j in range(i,n):
                if ansidx[i]>ansidx[j]:
                    swap+=1
        ans= min(ans, swap)

if ans==10**9:
    print('-1')
else:
    print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
from itertools import product
from copy import deepcopy

h, w = map(int, input().split())
ls = [list(input()) for _ in range(h)]

sls = list(product(range(h),range(w)))
gls = list(product(range(h),range(w)))
ans = 0
move = [[0,1], [1,0],[0,-1], [-1,0]]
for s in sls:
    for g in gls:
        if s==g or ls[s[0]][s[1]] == '#' or ls[g[0]][g[1]] == '#' :
            continue
        else:
            lss = deepcopy(ls)
            d=deque()
            d.append(s)
            lss[s[0]][s[1]] = 0
            while d:
                x,y = d.popleft()
                c = lss[x][y]
                for dx,dy in move:
                    if 0<=x+dx<h and 0<=y+dy<w and lss[x+dx][y+dy] == '.' :
                        lss[x+dx][y+dy] = c+1
                        d.append([x+dx, y+dy])
            ans = max(ans, lss[g[0]][g[1]])

print(ans)


Fixed submission:
from collections import deque
from itertools import product
from copy import deepcopy

h, w = map(int, input().split())
ls = [list(input()) for _ in range(h)]

sls = list(product(range(h),range(w)))
ans = 0
move = [[0,1], [1,0],[0,-1], [-1,0]]
for s in sls:
    if ls[s[0]][s[1]] == '#':
        continue
    else:
        lss = deepcopy(ls)
        d=deque()
        d.append(s)
        lss[s[0]][s[1]] = 0
        while d:
            x,y = d.popleft()
            c = lss[x][y]
            for dx,dy in move:
                if 0<=x+dx<h and 0<=y+dy<w and lss[x+dx][y+dy] == '.' :
                    lss[x+dx][y+dy] = c+1
                    d.append([x+dx, y+dy])
                    

        dist = 0
        for i in range(h):
            for j in range(w):
                if type(lss[i][j]) is int:
                    dist = max(dist, lss[i][j])

        ans = max(ans, dist)

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
from functools import reduce
def gcm(a,b):
    if b == 0:
        return a
    if a<b:
        a,b=b,a
    return gcm(b, a%b)

def lcm(a,b):
    return a*b//gcm(a,b)

n,m = map(int, input().split())
a = list(map(int, input().split()))
b = [n//2 for n in a]

l = reduce(lcm,b)

for i in range(n):
    if l//b[i]%2 == 0:
        print(0)
        break
else:
    print(m//l//2+m//l%2)

Fixed submission:
from functools import reduce
from fractions import gcd

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

n,m = map(int, input().split())
a = list(map(int, input().split()))
b = [n//2 for n in a]

l = reduce(lcm,b)

for i in range(n):
    if l//b[i]%2 == 0:
        print(0)
        break
else:
    print(m//l//2+m//l%2)
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = list(map(int,input().split()))

div = 10**9+7
ans=0
for i in range(n-1):
    for j in range(i+1, n):
        ans += a[i]^a[j]
        ans %= div

print(ans)


Fixed submission:
from itertools import accumulate
n = int(input())
a = list(map(int,input().split()))
a.sort(reverse=True)
aa = list(accumulate(a))
aa = aa[::-1]
a.sort()
div = 10**9+7
ans=0

ls = [0]*60
for i in range(60):
    for j in a:
        if j&(1<<i):
            ls[i]+=1
        else:
            ls[i]-=1
    
for i in range(n-1):
    ans+=aa[i+1]
    for j in range(60):
        if a[i]&(1<<j):
            ls[j]-=1
            ans-=ls[j] * 2**j
        else:
            ls[j]+=1
    
    ans %= div

print(ans)
Buggy python submission (verdict: Runtime Error):
h,w,k = map(int, input().split())
ls = [list(input()) for i in range(h)]
ansls = [[0]*w for _ in range(h)]
absent = []
idx = 1
for i in range(h):
    if ls[i] == ['.']*w:
        absent.append(i)
    else:
        count=0
        for j in range(w):
            if ls[i][j] == "#":
                if count>0:
                    idx+=1
                count+=1
            ansls[i][j] = idx
        idx+=1

for i in absent:
    idx = i
    if i<h-1:
        while idx in absent:
            idx+=1
    else:
        while idx in absent:
            idx-=1
    ansls[i] = ansls[idx]

for l in ansls:
    print(*l)

Fixed submission:
h,w,k = map(int, input().split())
ls = [list(input()) for i in range(h)]
ansls = [[0]*w for _ in range(h)]
absent = []
idx = 1
for i in range(h):
    if ls[i] == ['.']*w:
        absent.append(i)
    else:
        count=0
        for j in range(w):
            if ls[i][j] == "#":
                if count>0:
                    idx+=1
                count+=1
            ansls[i][j] = idx
        idx+=1

for i in absent:
    idx = i
    while idx in absent:
        idx+=1
    if idx>=h:
        idx = i
        while idx in absent:
            idx-=1
    ansls[i] = ansls[idx]

for l in ansls:
    print(*l)

Buggy python submission (verdict: Runtime Error):
import bisect
h, w, k = map(int, input().split())
ls = [list(input()) for _ in range(h)]

idxls = [0]*k
a = 0
rawls = set([-1, h])
for i in range(h):
    for j in range(w):
        if ls[i][j] == '#':
            idxls[a] = [i, j]
            rawls.add(i)
            a += 1

ansls = [[0 for _ in range(w)] for _ in range(h)]

rawls = list(rawls)
rawls.sort()
diffls= [0]*(len(rawls)-1)
for i in range(len(rawls)-1):
    diffls[i] = rawls[i+1] - rawls[i]

#paint raw
a = 0
for i in rawls[1:-1]:
    for j in range(w):
        if ls[i][j] == '#':
            a += 1
        for k in range(diffls[i+1]):
            ansls[i+k][j] = max(a,1)

a = 0
i = rawls[1]
for j in range(w):
    if ls[i][j] == '#':
        a += 1
    for k in range(diffls[0]):
        ansls[i-k][j] = max(a,1)

for l in ansls:
    print(*l)

    







Fixed submission:
h,w,k = map(int, input().split())
ls = [list(input()) for i in range(h)]
ansls = [[0]*w for _ in range(h)]
absent = []
idx = 1
for i in range(h):
    if ls[i] == ['.']*w:
        absent.append(i)
    else:
        count=0
        for j in range(w):
            if ls[i][j] == "#":
                if count>0:
                    idx+=1
                count+=1
            ansls[i][j] = idx
        idx+=1

for i in absent:
    idx = i
    while idx in absent:
        idx+=1
    if idx>=h:
        idx = i
        while idx in absent:
            idx-=1
    ansls[i] = ansls[idx]

for l in ansls:
    print(*l)
Buggy python submission (verdict: Runtime Error):
s = input()
n = len(s)
list0 = list()
list2 = list()
ans = 0
for i in range(n-1):
    if s[i:i+2] == '><':
        list0.append(i+1)
    elif s[i:i+2] == '<>':
        list2.append(i+1)

if s[0] == '<':
    list0.insert(0, 0)
else:
    p1 = list0[0]
    ans += 1/2 * p1 * (p1 + 1)


if s[-1] == '>':
    list0.append(n)
else:
    p1 = n - list0[-1]
    ans += 1/2 * p1 * (p1 + 1)

for i in range(len(list2)):
    p1 = max(list2[i] - list0[i], list0[i+1] - list2[i])
    p2 = min(list2[i] - list0[i], list0[i+1] - list2[i])
    ans += 1/2 * p1 * (p1 + 1) + 1/2 * p2 * (p2 - 1)

print(int(ans))


Fixed submission:
s = input()
n = len(s)
list0 = list()
list2 = list()
ans = 0
for i in range(n-1):
    if s[i:i+2] == '><':
        list0.append(i+1)
    elif s[i:i+2] == '<>':
        list2.append(i+1)

if s[0] == '<':
    list0.insert(0, 0)
else:
    if len(list0):
        p1 = list0[0]
    else:
        p1 = n
    ans += 1/2 * p1 * (p1 + 1)



if s[-1] == '>':
    list0.append(n)
else:
    if len(list0):
        p1 = n - list0[-1]
    else:
        p1 = n
    ans += 1/2 * p1 * (p1 + 1)

for i in range(len(list2)):
    p1 = max(list2[i] - list0[i], list0[i+1] - list2[i])
    p2 = min(list2[i] - list0[i], list0[i+1] - list2[i])
    ans += 1/2 * p1 * (p1 + 1) + 1/2 * p2 * (p2 - 1)

print(int(ans))
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
s = list(input())

for i in reversed(range(len(s)-1)):
    if s[i+1] == s[i]:
        del s[i+1]

print(len(s))


Fixed submission:
n = int(input())
s = list(input())

count = 0
for i in reversed(range(len(s)-1)):
    if s[i+1] == s[i]:
        count += 1

print(len(s)-count)
Buggy python submission (verdict: Time Limit Exceeded):
import bisect as b
n = int(input())

d = [0]*n
for el in map(int, input().split()):
    d[el-1] += 1

d.sort()

for k in range(1, n+1):
    l = 0
    r = n//k + 1
    while(l+1 < r):
        c = (l+r)//2
        i = b.bisect_left(d, c)
        total = sum(d[:i]) + c * (n - i)
        if total >= k * c:
            l = c
        else:
            r = c
    print(l)

Fixed submission:
import bisect as b
n = int(input())

d = [0]*n
for el in map(int, input().split()):
    d[el-1] += 1

d.sort()

s = [0]*(n+1)
for i in range(n):
    s[i+1] = s[i] + d[i]

for k in range(1, n+1):
    l = 0
    r = n//k + 1
    while(l+1 < r):
        c = (l+r)//2
        i = b.bisect_left(d, c)
        total = s[i] + c * (n - i)
        if total >= k * c:
            l = c
        else:
            r = c
    print(l)
Buggy python submission (verdict: Runtime Error):
N,A,B,C = map(int,input().split())
l = [input() for i in range(N)]
INF = 10 ** 9

def ans(cur,a,b,c):
    
    if cur == N:
        return abs(a-A) + abs(b-B) + abs(c-C) - 30 if min(a,b,c) > 0 else INF
    
    ret0 = ans(cur + 1,a,b,c) 
    ret1 = ans(cur + 1,a + l[cur],b,c) + 10
    ret2 = ans(cur + 1,a,b + l[cur],c) + 10
    ret3 = ans(cur + 1,a,b,c + l[cur]) + 10

    return min(ret0,ret1,ret2,ret3)

print(ans(0,0,0,0))







Fixed submission:
N,A,B,C = map(int,input().split())
l = [int(input()) for i in range(N)]
INF = 10 ** 9

def ans(cur,a,b,c):
    
    if cur == N:
        return abs(a-A) + abs(b-B) + abs(c-C) - 30 if min(a,b,c) > 0 else INF
    
    ret0 = ans(cur + 1,a,b,c) 
    ret1 = ans(cur + 1,a + l[cur],b,c) + 10
    ret2 = ans(cur + 1,a,b + l[cur],c) + 10
    ret3 = ans(cur + 1,a,b,c + l[cur]) + 10

    return min(ret0,ret1,ret2,ret3)

print(ans(0,0,0,0))
Buggy python submission (verdict: Time Limit Exceeded):
from itertools import groupby

N = int(input())
def fast_prime_factorization(n):
    # 素因数分解（ロー法）  O(n^(1/4) polylog(n))
    from subprocess import Popen, PIPE
    return list(map(int, Popen(["factor", str(n)], stdout=PIPE).communicate()[0].split()[1:]))

def a(n):
    if n == 1:
        return 1
    f = fast_prime_factorization(n if n%2 else 2*n)
    step = max(v ** len(list(gr)) for v, gr in groupby(f))
    for m in range(step, 2*n, step):
        if m * (m-1) // 2 % n == 0:
            return m-1
        if m * (m+1) // 2 % n == 0:
            return m

print(a(N))


Fixed submission:
from itertools import groupby

N = int(input())
def fast_prime_factorization(n):
    # 素因数分解（ロー法）  O(n^(1/4) polylog(n))
    from subprocess import Popen, PIPE
    return list(map(int, Popen(["factor", str(n)], stdout=PIPE).communicate()[0].split()[1:]))


def egcd(a, b):
    # 拡張ユークリッド互除法
    # ax + by = gcd(a,b)の最小整数解を返す
    # 最大公約数はg
    if a == 0:
        return b, 0, 1
    else:
        g, y, x = egcd(b % a, a)
        return g, x - (b // a) * y, y


def a(n):
    if n == 1:
        return 1
    f = fast_prime_factorization(2*n)
    f2 = [v ** len(list(gr)) for v, gr in groupby(f)]
    l = len(f2)
    ans = 1<<62
    for s in range(1<<l):
        p = 1
        q = 1
        for i in range(l):
            if s>>i & 1:
                p *= f2[i]
            else:
                q *= f2[i]
        if p==1 or q==1:
            continue
        g, x, y = egcd(-p, q)
        a = abs(y) * q
        #print(p, q, x, y, a)
        if ans > a:
            ans = a
    return ans

#print(a(15**12))

print(a(N))
Buggy python submission (verdict: Runtime Error):
from itertools import groupby

def fast_prime_factorization_many(lst):
    # 素因数分解（ロー法、複数）
    from subprocess import Popen, PIPE
    res = Popen(["factor"] + list(map(str, lst)), stdout=PIPE).communicate()[0].split(b"\n")[:-1]
    return [list(map(int, r.split()[1:])) for r in res]

def main():
    N = int(input())
    A = list(map(int, input().split()))
    Factors = fast_prime_factorization_many(A)
    factors = Factors[0]
    st0 = set(factors)  # 0 になれば setwize
    st1 = set(factors)  # 重複しなければ pairwise
    pairwise = True
    for factors in Factors[1:]:
        for f, _ in groupby(factors):
            if f in st1:
                pairwise = False
            else:
                st1.add(f)
            if f in st0:
                st0.remove(f)
    if pairwise:
        print("pairwise coprime")
    elif not st0:
        print("setwise coprime")
    else:
        print("not coprime")

main()


Fixed submission:
from itertools import groupby

class Osa_k:
    def __init__(self, n_max):
        self.min_factor = min_factor = list(range(n_max+1))
        for i in range(2, int(n_max**0.5)+1):
            if min_factor[i] == i:
                for j in range(i*i, n_max+1, i):
                    if min_factor[j] == j:
                        min_factor[j] = i

    def __call__(self, n):
        min_factor = self.min_factor
        n_twoes = (n & -n).bit_length() - 1  # 最悪ケースでは速くなる
        res = [2] * n_twoes
        n >>= n_twoes
        while n > 1:
            p = min_factor[n]
            res.append(p)
            n //= p
        return res

def main():
    N = int(input())
    A = list(map(int, input().split()))
    osa_k = Osa_k(1010101)
    Factors = [osa_k(a) for a in A]
    factors = Factors[0]
    st0 = set(factors)  # 0 になれば setwize
    st1 = set(factors)  # 重複しなければ pairwise
    pairwise = True
    for factors in Factors[1:]:
        st = []
        for f, _ in groupby(factors):
            if f in st1:
                pairwise = False
            else:
                st1.add(f)
            st.append(f)
        st0 &= set(st)
    if pairwise:
        print("pairwise coprime")
    elif not st0:
        print("setwise coprime")
    else:
        print("not coprime")

main()
Buggy python submission (verdict: Time Limit Exceeded):
def main():
    N = int(input())
    A = list(map(int, input().split()))
    L = [0] * (10**6+1)
    for a in A:
        L[a] += 1
    ans = 0
    Ng = [False] * (10**6+1)
    for a in A:
        for i in range(a*2, 10**6+1, a):
            Ng[i] = True
    for a, (cnt, ng) in enumerate(zip(L, Ng)):
        if cnt == 1 and not ng:
            ans += 1
    print(ans)

main()


Fixed submission:
def main():
    N = int(input())
    A = list(map(int, input().split()))
    L = [0] * (10**6+1)
    for a in A:
        L[a] += 1
    ans = 0
    Ng = [False] * (10**6+1)
    for a, cnt in enumerate(L):
        if cnt:
            for i in range(a*2, 10**6+1, a):
                Ng[i] = True
    for a, (cnt, ng) in enumerate(zip(L, Ng)):
        if cnt == 1 and not ng:
            ans += 1
    print(ans)

main()
Buggy python submission (verdict: Time Limit Exceeded):
N, K = map(int, input().split())
A = list(map(int, input().split()))

for _ in range(K):
    A_old = A
    A = [0] * (N)
    for idx_A, a in enumerate(A_old):
        A[max(0, idx_A-a)] += 1
        if idx_A+a+1 < N:
            A[idx_A+a+1] -= 1
    for idx_A in range(1, N):
        A[idx_A] += A[idx_A-1]
    if A_old == A:
        break
print(" ".join(map(str, A)))


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

for _ in range(K):
    A_old = A
    A = [0] * (N)
    for idx_A, a in enumerate(A_old):
        A[max(0, idx_A-a)] += 1
        if idx_A+a+1 < N:
            A[idx_A+a+1] -= 1
    for idx_A in range(1, N):
        A[idx_A] += A[idx_A-1]
    if A_old == A:
        break
print(" ".join(map(str, A)))
Buggy python submission (verdict: Time Limit Exceeded):
N, S = map(int, input().split())
A = list(map(int, input().split()))
# dp[n][i][s] := i 番目まで見て n 個使って合計が s になる場合の数 これは無理
# dp[i][s] := i 番目まで見て合計 s 
dp = [[0]*(S+1) for _ in range(N+1)]
dp[0][0] = 1
mod = 998244353
for i, a in enumerate(A, 1):
    for s in range(S+1):
        if s-a >= 0:
            dp[i][s] = (dp[i-1][s] * 2 + dp[i-1][s-a]) % mod
        else:
            dp[i][s] = dp[i-1][s] * 2 % mod
print(dp[N][S])


Fixed submission:
N, S = map(int, input().split())
A = list(map(int, input().split()))
# dp[n][i][s] := i 番目まで見て n 個使って合計が s になる場合の数 これは無理
# dp[i][s] := i 番目まで見て合計 s 
dp = [[0]*(S+1) for _ in range(N+1)]
dp[0][0] = 1
mod = 998244353
for i, a in enumerate(A, 1):
    for s in range(S+1):
        if s-a >= 0:
            dp[i][s] = (dp[i-1][s] * 2 + dp[i-1][s-a]) % mod
        else:
            dp[i][s] = dp[i-1][s] * 2 % mod
print(dp[N][S])
Buggy python submission (verdict: Runtime Error):
from itertools import combinations_with_replacement
N, M, Q = map(int, input().split())
ABCD = [list(map(int, input().split())) for _ in range(Q)]
ans = 0
for t in combinations_with_replacement(range(1, M+1), N):
    an = 0
    for a, b, c, d in ABCD:
        if t[b-1]-t[a-1] == c:
            an += d
    if ans < an:
        ans = an
print(an

Fixed submission:
from itertools import combinations_with_replacement
N, M, Q = map(int, input().split())
ABCD = [list(map(int, input().split())) for _ in range(Q)]
ans = 0
for t in combinations_with_replacement(range(1, M+1), N):
    an = 0
    for a, b, c, d in ABCD:
        if t[b-1]-t[a-1] == c:
            an += d
    if ans < an:
        ans = an
print(ans)
Buggy python submission (verdict: Runtime Error):
# この方針かしこい

import os
import sys
import numpy as np

def z_algo(S):
    # Z-algoirhm  O(n)
    # Z[i] := S と S[i:] で prefix が何文字一致しているか
    # 検証: https://atcoder.jp/contests/arc055/submissions/14179788
    i, j, n = 1, 0, len(S)
    Z = np.zeros_like(S)
    Z[0] = n
    while i < n:
        while i+j < n and S[j] == S[i+j]:
            j += 1
        if j == 0:
            i += 1
            continue
        Z[i] = j
        d = 1
        while i+d < n and d+Z[d] < j:
            Z[i+d] = Z[d]
            d += 1
        i += d
        j -= d
    return Z

def solve(N, A, B):
    Diff = np.empty(3*N, dtype=np.int64)
    Diff[0] = B[0] ^ B[-1]
    Diff[1:N] = B[1:] ^ B[:-1]
    Diff[N] = Diff[2*N] = A[0] ^ A[-1]
    Diff[N+1:2*N] = Diff[2*N+1:3*N] = A[1:] ^ A[:-1]
    Z = z_algo(Diff)[N:2*N]
    Ans = [(0,0)]*0
    for i in range(N):
        z = Z[i]
        if z >= N:
            Ans.append((i, B[0]^A[i]))
    return np.array(Ans)


# >>> numba compile >>>
numba_config = [
    [z_algo, "i8[:](i8[:])"],
    [solve, "i8[:,:](i8,i8[:],i8[:])"],
]
if sys.argv[-1] == "ONLINE_JUDGE":
    from numba import njit
    from numba.pycc import CC
    cc = CC("my_module")
    for func, signature in numba_config:
        vars()[func.__name__] = njit(signature)(func)
        cc.export(func.__name__, signature)(func)
    cc.compile()
    exit()
elif os.name == "posix":
    exec(f"from my_module import {','.join(func.__name__ for func, _ in numba_config)}")
else:
    from numba import njit
    for func, signature in numba_config:
        vars()[func.__name__] = njit(signature, cache=True)(func)
    print("compiled!", file=sys.stderr)
# <<< numba compile <<<


def main():
    N = int(input())
    A = np.array(input().split(), dtype=np.int64)
    B = np.array(input().split(), dtype=np.int64)
    Ans = solve(N, A, B).tolist()
    print("\n".join(map(lambda x: " ".join(map(str, x)), Ans)))

main()


Fixed submission:
def z_algo(S):
    # Z-algoirhm  O(n)
    # Z[i] := S と S[i:] で prefix が何文字一致しているか
    # 検証: https://atcoder.jp/contests/arc055/submissions/14179788
    i, j, n = 1, 0, len(S)
    Z = [0] * n
    Z[0] = n
    while i < n:
        while i+j < n and S[j] == S[i+j]:
            j += 1
        if j == 0:
            i += 1
            continue
        Z[i] = j
        d = 1
        while i+d < n and d+Z[d] < j:
            Z[i+d] = Z[d]
            d += 1
        i += d
        j -= d
    return Z


N = int(input())
A = list(map(int, input().split()))
B = list(map(int, input().split()))
A_diff = []
a2 = A[-1]
for a in A:
    A_diff.append(a^a2)
    a2 = a
B_diff = []
b2 = B[-1]
for b in B:
    B_diff.append(b^b2)
    b2 = b
A_diff_2 = A_diff + A_diff[:-1]
Z = z_algo(A_diff_2)
A_diff_str = "_".join(map(str, A_diff_2))
B_diff_str = "_".join(map(str, B_diff))
idx = A_diff_str.find(B_diff_str)
if idx==-1:
    exit()
idx = A_diff_str[:idx].count("_")
Ans = []
b0 = B[-idx]
for i, (z, a, b) in enumerate(zip(Z, A, B)):
    if z >= N:
        Ans.append([(idx+i)%N, a^b0])
        # x = [idx, i, a, b, B[-idx]]
        # print(x)
Ans.sort()  # これいる？
for k, x in Ans:
    print(f"{k} {x}")
Buggy python submission (verdict: Runtime Error):
N = int(input())
if N==2:
    assert False
print(-1)


Fixed submission:
N = int(input())
if N==2:
    print(-1)
    exit()
if N==3:
    print("""aa.
..b
..b""")
    exit()
P4 = """abcc
abdd
ccab
ddab"""
P5 = """abbaa
a..db
b..db
bcc.a
aabba"""
P6 = """aa.ccd
..bd.d
..bdcc
ccdaa.
d.d..b
dcc..b"""
P7 = """.ccbbaa
c...ccd
c...d.d
b...dcc
bccd...
ad.d...
adcc..."""
P = [P4, P5, P6, P7]
def construct(L):
    P_split = [p.split() for p in P]
    ans = []
    offset = 0
    for l in L:
        r = N-offset-l
        for p in P_split[l-4]:
            ans.append("."*offset + p + "."*r)
        offset += l
    return "\n".join(ans)
def sep(n):  # 4 と 5 に分ける
    if n==6:
        return [6]
    elif n==7:
        return [7]
    elif n==11:
        return [5, 6]
    res = [4] * (n//4)
    for i in range(n%4):
        res[i] += 1
    return res
print(construct(sep(N)))