Harryxun/sft_time huggingface dataset:
### BUGGY CODE ###

memo = [
    [
        [ -1 ] * 201
    ] * 201
] * 201

def gcd(numbers):
    numbers.sort()
    a = numbers[1]
    b = numbers[0]
    ans = b
    while True:
        q, mod = divmod(a, b)
        if mod == 0:
            break
        a = b
        b = mod
        ans = mod
    return ans

K = int(input())
numbers = []
for i in range(K, 0, -1):
    for j in range(i, 0, -1):
        for k in range(j, 0, -1):
            numbers.append([i, j, k])

sum = 0
for number in numbers:
    dup = len(set(number))
    if dup == 1:
        sum += gcd([gcd([number[0], number[1]]), number[2]])
    elif dup == 2:
        sum += gcd([gcd([number[0], number[1]]), number[2]]) * 3
    else:
        sum += gcd([gcd([number[0], number[1]]), number[2]]) * 6

print(sum)


### FIXED CODE ###

memo = [[[-1] * 201 for j in range(201)] for i in range(201)]

def gcd(numbers):
    numbers.sort()
    a = numbers[1]
    b = numbers[0]
    ans = b
    while True:
        q, mod = divmod(a, b)
        if mod == 0:
            break
        a = b
        b = mod
        ans = mod
    return ans

K = int(input())
numbers = []

for i in range(K, 0, -1):
    for j in range(i, 0, -1):
        for k in range(j, 0, -1):
            numbers.append([i, j, k])

gcd_sum = 0
for number in numbers:
    dup = len(set(number))
    a, b, c = number
    if memo[a][b][c] == -1:
        if dup == 1:
            ans = gcd([gcd([a, b]), c])
        elif dup == 2:
            ans = gcd([gcd([a, b]), c]) * 3
        else:
            ans = gcd([gcd([a, b]), c]) * 6
        memo[a][b][c] = ans
    gcd_sum += memo[a][b][c]

print(gcd_sum)
### BUGGY CODE ###

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

sum = 0
mod = 10**9+7
for i in range(n-1):
    for j in range(i+1, n):
        sum = sum + a[i] * a[j]
        #print(sum)
        #if sum > mod:
            #print('no')
            #sum = sum - mod
print(sum%mod)

### FIXED CODE ###

n = int(input())
a = list(map(int, input().split()))
 
sum = 0
sum1 = 0
mod = 1000000000+7
for i in range(n):
    if a[i] >= mod:
        a[i] = a[i] % mod
    sum1 += a[i]
    sum1 %= mod
    
for i in range(n-1):
    #for j in range(i+1, n):
    sum1 -= a[i]
    #sum += a[i] * a[j]
    if sum1 < 0:
        sum1 += mod
    sum += a[i] * sum1
    sum %= mod
            
print(sum)
### BUGGY CODE ###

from itertools import product
n,k=map(int,input().split())
if k%2==1:
    l=[i for i in range(k,n+1,k)]
    ans=len(list(product(l,repeat=3)))
if k%2==0:
    l=[i for i in range(k//2,n+1,k)]
    ll=[i for i in range(k,n+1,k)]
    ans=len(list(product(l,repeat=3)))+len(list(product(ll,repeat=3)))
print(ans)

### FIXED CODE ###

from itertools import product
n,k=map(int,input().split())
if k%2==1:
    l=[i for i in range(k,n+1,k)]
    ans=len(l)**3
if k%2==0:
    l=[i for i in range(k//2,n+1,k)]
    ll=[i for i in range(k,n+1,k)]
    ans=len(l)**3+len(ll)**3
print(ans)
### BUGGY CODE ###

import sys
sys.setrecursionlimit(10**6)
MOD = 10**9+7
N,K = map(int,input().split())
edge = [[] for _ in range(N)]
for i in range(N-1):
    a,b = map(int,input().split())
    a -= 1
    b -= 1
    edge[a].append(b)
    edge[b].append(a)

ans = 1
def dfs(now, par,num):
    global ans
    ans = ans*num%MOD
    num = K-1
    if par != -1:
        num -= 1
    for ch in edge[now]:
        if ch != par:
            dfs(ch,now,num)
            num -= 1

dfs(0,-1,K)
print(ans)

### FIXED CODE ###

import sys
sys.setrecursionlimit(10**6)
input = sys.stdin.readline
MOD = 10**9+7
N,K = map(int,input().split())
edge = [[] for _ in range(N)]
for i in range(N-1):
    a,b = map(int,input().split())
    a -= 1
    b -= 1
    edge[a].append(b)
    edge[b].append(a)

ans = 1
def dfs(now, par,num):
    global ans
    ans = ans*num%MOD
    num = K-1
    if par != -1:
        num -= 1
    for ch in edge[now]:
        if ch != par:
            dfs(ch,now,num)
            num -= 1

dfs(0,-1,K)
print(ans)
### BUGGY CODE ###

#!/usr/bin/env python3
import sys
sys.setrecursionlimit(10**7)
import bisect
import heapq
import itertools
import math
import numpy as np
from collections import Counter, defaultdict, deque
from copy import deepcopy
from decimal import Decimal
from math import gcd
from operator import add, itemgetter, mul, xor
def cmb(n,r,mod):
  bunshi=1
  bunbo=1
  for i in range(r):
    bunbo = bunbo*(i+1)%mod
    bunshi = bunshi*(n-i)%mod
  return (bunshi*pow(bunbo,mod-2,mod))%mod
mod = 10**9+7
def I(): return int(input())
def LI(): return list(map(int,input().split()))
def MI(): return map(int,input().split())
def LLI(n): return [list(map(int, input().split())) for _ in range(n)]

n = I()
#edge[i][j]には頂点iと頂点jをつなぐ辺の色を格納する
edge = [[0]*(n+1) for _ in range(n+1)]
#graph[i]には頂点iと繋がっている頂点を格納する
graph = [[] for _ in range(n+1)]
prev_col = [0]*(n+1)
k = 0
a_b = []
for i in range(n-1):
    a,b = MI()
    a_b.append([a,b])
    graph[a].append(b)
    graph[b].append(a)
#check[i] == -1ならば未探索
check = [-1]*(n+1)
check[0] = 0
check[1] = 0
for i in range(n+1):
    k = max(len(graph[i]),k)
d = deque()
d.append(1)
while d:
    v = d.popleft()
    check[v] = 1
    cnt = 0
    for i in graph[v]:
      if check[i] != -1:
        continue
      cnt = cnt+1
      if prev_col[v] == cnt:
        cnt = cnt + 1
      edge[i][v] = cnt
      edge[v][i] = cnt
      prev_col[i] = cnt
      d.append(i)
      check[i] = 0
print(k)
for i in range(n-1):
    color = edge[a_b[i][0]][a_b[i][1]]
    print(color)


### FIXED CODE ###

#!/usr/bin/env python3
import sys
sys.setrecursionlimit(10**7)
import bisect
import heapq
import itertools
import math
import numpy as np
from collections import Counter, defaultdict, deque
from copy import deepcopy
from decimal import Decimal
from math import gcd
from operator import add, itemgetter, mul, xor
def cmb(n,r,mod):
  bunshi=1
  bunbo=1
  for i in range(r):
    bunbo = bunbo*(i+1)%mod
    bunshi = bunshi*(n-i)%mod
  return (bunshi*pow(bunbo,mod-2,mod))%mod
mod = 10**9+7
def I(): return int(input())
def LI(): return list(map(int,input().split()))
def MI(): return map(int,input().split())
def LLI(n): return [list(map(int, input().split())) for _ in range(n)]

n = I()

#graph[i]には頂点iと繋がっている頂点を格納する
graph = [[] for _ in range(n+1)]
prev_col = [0]*(n+1)
a_b = []
k=0
for i in range(n-1):
    a,b = MI()
    a_b.append(str(a)+" "+str(b))
    graph[a].append(b)
    graph[b].append(a)
#check[i] == -1ならば未探索
check = [-1]*(n+1)
check[0] = 0
check[1] = 0
for i in range(n+1):
    k = max(len(graph[i]),k)
d = deque()
d.append(1)
ans = dict()
while d:
    v = d.popleft()
    check[v] = 1
    cnt = 0
    for i in graph[v]:
      if check[i] != -1:
        continue
      cnt = cnt+1
      if prev_col[v] == cnt:
        cnt = cnt + 1
      prev_col[i] = cnt
      ans[str(min(i,v))+" "+str(max(i,v))]=cnt
      d.append(i)
print(k)
for key in a_b:
    print(ans[key])
### BUGGY CODE ###

from fractions import gcd
from functools import reduce


ans = 0
K = int(input())
for a in (range(1, K+1)):
    for b in range(a, K+1):
        for c in range(b, K+1):
            n = 0
            if a == b == c:
                n = 1
            elif a == b or b == c or c == a:
                n = 3
            else:
                n = 6
            ans += n * reduce(gcd, [a,b,c])
print(ans)


### FIXED CODE ###

from fractions import gcd
from functools import reduce

K = int(input())
tmp = [[0 for _ in range(K+1)] for _ in range(K+1)]
ans = 0
for a in (range(1, K+1)):
    for b in range(a, K+1):
        if tmp[a][b] != 0:
            gcd1 = tmp[a][b]
        else:
            gcd1 = gcd(a, b)
            tmp[a][b] = gcd1
        for c in range(b, K+1):
            n = 0
            if a == b == c:
                n = 1
            elif a == b or b == c or c == a:
                n = 3
            else:
                n = 6
            gcd2 = 0
            if tmp[gcd1][c] != 0:
                gcd2 = tmp[gcd1][c]
            else:
                gcd2 = gcd(gcd1, c)
                tmp[gcd1][c] = gcd2
            ans += n * gcd2
print(ans)
### BUGGY CODE ###

H,N = map(int,input().split())
C = [list(map(int,input().split())) for i in range(N)]

A = []
B = []
for i in range(N):
    A.append(C[i][0])
    B.append(C[i][1])

M = max(A)
m = min(A)

dp = {} #dp[h]は体力をh減らすのに必要な魔力の最小値

for i in range(-M+1,1):
    dp[i] = 0

for i in range(1,H+m):
    dp[i] = min(dp[i-A[j]] + B[j] for j in range(N))

print(min(dp[i] for i in range(H,H+m)))

### FIXED CODE ###

H,N = map(int,input().split())
C = [list(map(int,input().split())) for i in range(N)]

A = []
B = []
for i in range(N):
    A.append(C[i][0])
    B.append(C[i][1])

M = max(A)
m = min(A)

dp = {} #dp[h]は体力をh減らすのに必要な魔力の最小値

for i in range(-M+1,1):
    dp[i] = 0

for i in range(1,H+m):
    dp[i] = min(dp[i-A[j]] + B[j] for j in range(N))

print(min(dp[i] for i in range(H,H+m)))
### BUGGY CODE ###

def main():
    N, W = map(int, input().split())
    w = [None for _ in range(N)]
    v = [None for _ in range(N)]
    for i in range(N):
        w[i], v[i] = map(int, input().split())
    dp = [[0 for _ in range(W+1)] for _ in range(N)]
    for i in range(0, N):
        for j in range(W+1):
            if j-w[i] >= 0:
                dp[i][j] = max(dp[i-1][j-w[i]]+v[i], dp[i-1][j])
            else:
                dp[i][j] = dp[i-1][j]
    print(dp[-1][-1])


if __name__ == "__main__":
    main()


### FIXED CODE ###

def main():
    N, W = map(int, input().split())
    w = [None for _ in range(N)]
    v = [None for _ in range(N)]
    for i in range(N):
        w[i], v[i] = map(int, input().split())
    dp = [[0 for _ in range(W+1)] for _ in range(N)]
    for i in range(0, N):
        for j in range(W+1):
            if j-w[i] >= 0:
                dp[i][j] = max(dp[i-1][j-w[i]]+v[i], dp[i-1][j])
            else:
                dp[i][j] = dp[i-1][j]
    print(dp[-1][-1])


if __name__ == "__main__":
    main()
### BUGGY CODE ###

from collections import defaultdict

N = int(input())
S = [int(i) for i in list(input())]

answer = defaultdict(int)

for a in range(N-2):
    for b in range(a+1,N-1):
        for c in range(b+1,N):
            num = S[a]*100 + S[b]*10 + S[c]
            answer[num] += 1

print(len(answer))

### FIXED CODE ###

N = int(input())
S = list(input())

def my_index(LIST, VALUE,START):
    if VALUE in LIST[START:]:
        return LIST.index(VALUE,START)
    else:
        return float("inf")

answer = 0
# 暗証番号がiとなるか判定
for i in range(1000):
    PIN = str(i).rjust(3,"0")
    if PIN[0] in S:
        one_digit = S.index(PIN[0])
    else:
        continue
    if PIN[1] in S:
        two_digit = my_index(S,PIN[1],one_digit+1)
        if two_digit == float("inf"):
            continue
    else:
        continue
    if PIN[2] in S:
        three_digit = my_index(S,PIN[2],two_digit+1)
        if three_digit == float("inf"):
            continue
    else:
        continue
    answer += 1

print(answer)
### BUGGY CODE ###

n=int(input())
graph=[[] for i in range(n)]
node=[[-1]*n for i in range(n)]
color=[0]*n
visited=[False]*n
for i in range(n-1):
    a,b,c=map(int,input().split())
    graph[a-1].append(b-1);node[a-1][b-1]=c%2
    graph[b-1].append(a-1);node[b-1][a-1]=c%2
search=[[0,i] for i in graph[0]]
while search!=[]:
  a=search.pop(0)
  if visited[a[1]]==True:continue
  search=search+[[a[1],i] for i in graph[a[1]]]
  color[a[1]]=color[a[0]]^node[a[0]][a[1]]
  visited[a[1]]=True
for i in color:
  print(i)

### FIXED CODE ###

import sys
sys.setrecursionlimit(1000000)
n=int(input())
graph=[[] for i in range(n)]
color=[-1]*n
for i in range(n-1):
    a,b,c=map(int,input().split())
    graph[a-1].append([b-1,c%2])
    graph[b-1].append([a-1,c%2])
def coloring(pre,c):
  color[pre]=c
  for i,j in graph[pre]:
    if color[i]<0:
      coloring(i,color[pre]^j)
coloring(0,1)
for i in color:
  print(i)
### BUGGY CODE ###

N = int(input())


def lyuca(x):
    if x == 0:
        return 2
    elif x == 1:
        return 1

    return lyuca(x-1) + lyuca(x-2)


print(lyuca(N))


### FIXED CODE ###

N = int(input())


def lyuca(a, b, count):
    count = count - 1
    if count == 0:
        return a + b
    else:
        return lyuca(b, a + b, count)


if N == 0:
    print(2)
elif N == 1:
    print(1)
elif N > 1:
    print(lyuca(2, 1, N - 1))
### BUGGY CODE ###

power = 1
x = int(input())
for a in range(1, x + 1):
  power = power * a
  
print(power % (10 ** 9 + 7))

### FIXED CODE ###

power = 1
x = int(input())
for a in range(1, x + 1):
  power = (power * a) % (10**9 + 7)

print(power)
### BUGGY CODE ###

import bisect,collections,copy,itertools,math,string
import sys
def I(): return int(sys.stdin.readline().rstrip())
def LI(): return list(map(int,sys.stdin.readline().rstrip().split()))
def S(): return sys.stdin.readline().rstrip()
def LS(): return list(sys.stdin.readline().rstrip().split())
def main():
    n,q = LI()
    s = "$" + S()

    for _ in range(q):
        l,r = LI()
        ans = s[l:r+1].count("AC")
        print(ans)
main()

### FIXED CODE ###

import bisect,collections,copy,itertools,math,string
import sys
def I(): return int(sys.stdin.readline().rstrip())
def LI(): return list(map(int,sys.stdin.readline().rstrip().split()))
def S(): return sys.stdin.readline().rstrip()
def LS(): return list(sys.stdin.readline().rstrip().split())
def main():
    n,q = LI()
    s = "$" + S()

    lst = [0 for _ in range(n+1)]
    for i in range(n):
        before = s[i]
        after = s[i+1]
        if before == "A" and after == "C":
            lst[i+1] = lst[i] + 1
        else:
            lst[i+1] = lst[i]
    for _ in range(q):
        l,r = LI()
        ans = lst[r] - lst[l]
        print(ans)
main()
### BUGGY CODE ###

from sys import stdin

def main():
    n = int(input())
    a = [int(x) for x in stdin.readline().rstrip().split()]
    base = sum(a)
    q = int(input())
    for i in range(q):
        b, c = [int(x) for x in stdin.readline().rstrip().split()]
        offset = c -b
        cnt = 0
        for i, aaa in enumerate(a):
            if aaa == b:
                a[i] = c
                cnt += 1
        base = base + offset*cnt
        print(base)
        

if __name__ == "__main__":
    main()

### FIXED CODE ###

from sys import stdin

mapping = [0] * 100001

def main():
    n = int(input())
    a = [int(x) for x in stdin.readline().rstrip().split()]
    base = sum(a)
    for aaa in a:
        mapping[aaa] += 1
    q = int(input())
    for i in range(q):
        b, c = [int(x) for x in stdin.readline().rstrip().split()]
        offset = c - b
        kazu = mapping[b]
        base = base + kazu*offset
        mapping[b] = 0
        mapping[c] += kazu
        
        print(base)
        

if __name__ == "__main__":
    main()
### BUGGY CODE ###

from sys import stdin

class DList:
    class Cell:
        def __init__(self, k):
            self.key  = k
            self.prev = None
            self.next = None

    def __init__(self):
        self.head = DList.Cell(None)
        self.last = DList.Cell(None)
        self.head.next = self.last
        self.last.prev = self.head

    def insert(self, x):
        c = DList.Cell(x)
        c.prev = self.head
        c.next = self.head.next
        c.next.prev = c
        self.head.next = c

    def delete(self, x):
        c = self.__find(x)
        if c != None:
            self.__delete(c)

    def __delete(self, c):
        c.prev.next = c.next
        c.next.prev = c.prev

    def __find(self, x):
        c = self.head.next
        while c != None and c.key != x:
            c = c.next
        return c

    def deleteFirst(self):
        self.__delete(self.head.next)
    def deleteLast(self):
        self.__delete(self.last.prev)

    def print(self):
        c = self.head.next
        sep = ''
        while c != self.last:
            print(sep, end='')
            print(c.key, end='')
            c = c.next
            sep = ' '
        print()

dlist = DList()

n = int(stdin.readline())
for i in range(n):
    cmd = tuple(stdin.readline().split())
    if   cmd[0] == 'insert':
        dlist.insert(int(cmd[1]))
    elif cmd[0] == 'delete':
        dlist.delete(int(cmd[1]))
    elif cmd[0] == 'deleteFirst':
        dlist.deleteFirst()
    elif cmd[0] == 'deleteLast':
        dlist.deleteLast()

dlist.print()



### FIXED CODE ###

from sys import stdin

class DList:
    class Cell:
        def __init__(self, k):
            self.key  = k
            self.prev = None
            self.next = None

    def __init__(self):
        self.head = DList.Cell(None)
        self.last = DList.Cell(None)
        self.head.next = self.last
        self.last.prev = self.head

    def insert(self, x):
        c = DList.Cell(x)
        c.prev = self.head
        c.next = self.head.next
        c.next.prev = c
        self.head.next = c

    def delete(self, x):
        c = self.__find(x)
        if c != None:
            self.__delete(c)

    def __delete(self, c):
        c.prev.next = c.next
        c.next.prev = c.prev

    def __find(self, x):
        c = self.head.next
        while c != None and c.key != x:
            c = c.next
        return c

    def deleteFirst(self):
        self.__delete(self.head.next)
    def deleteLast(self):
        self.__delete(self.last.prev)

    def __iter__(self):
        self.it = self.head.next
        return self
    def __next__(self):
        if self.it == self.last:
            raise StopIteration
        k = self.it.key
        self.it = self.it.next
        return k

dlist = DList()

n = int(stdin.readline())
for i in range(n):
    cmd = stdin.readline()
    if   cmd.startswith('insert'):
        dlist.insert(cmd[7:-1])
    elif cmd.startswith('deleteFirst'):
        dlist.deleteFirst()
    elif cmd.startswith('deleteLast'):
        dlist.deleteLast()
    elif cmd.startswith('delete'):
        dlist.delete(cmd[7:-1])

print(' '.join(dlist))
### BUGGY CODE ###

import itertools
from sys import stdin
N=int(input())
st=list(stdin.readline().strip())
count=0
cnt=0
stt=set(st)
stt=list(stt)
num=["0","1","2","3","4","5","6","7","8","9"]
num = [s for s in num if s in stt ]
num_list= ["".join(i) for i in itertools.product(num,repeat=3)]

for number in num_list:
    for i in range(N):
        if number[cnt]==st[i]:
            cnt+=1
            if cnt==3:break

    if cnt==3:
        count+=1
    cnt=0
print(count)

### FIXED CODE ###

def main():
  N = int(input())
  S = list(map(int,input()))
  ans = 0
  for i in range(10):
    for j in range(10):
      for k in range(10):
        flg = False
        flg2 = False
        for x in range(N):
          if flg2:
            break
          if not flg:
            if S[x] == i:
              flg = True
          else:
            if S[x] == j:
              flg2 = True
              if k in S[x+1:]:
                ans +=1
  print(ans)
main()
### BUGGY CODE ###

printn = lambda x: sys.stdout.write(x)
inn = lambda : int(input())
inl   = lambda: list(map(int, input().split()))
inm   = lambda:      map(int, input().split())
DBG = True  and False
def ddprint(x):
  if DBG:
    print(x)

# extended gcd and modinv
# x = y*(x/y) + x%y
#   ->  g = ax+by = a(y*(x/y) + x%y) + by
#         = (a*(x/y) + b)*y + a*(x%y)
#
# while  g=ax+by, b==0  ->  g=x, a=1

def exgcd(x,y):
    if y == 0:
        return (x,1,0)
    else:
        g,b,a = exgcd(y, x%y)
        return (g, a, b-(x//y)*a)

# return y s.t. x*y mod p == 1
def modinv(x,p):
    g,a,b = exgcd(x,p)  # ax+bp = g, g=1 if mutually prime
    return a%p

def rpow(x,e,r):
    p = 1
    while e>0:
        if e%2 == 1:
            p = (p*x)%r
        x *= x
        e //= 2
    return p

R = 1000003
facts = [1] * R
for i in range(2,R):
    facts[i] = (facts[i-1]*i)%R

qq = inn()
for q in range(qq):
    x,d,n = inm()
    if d==0:
        print(rpow(x,n,R))
        continue
    xd = modinv(d,R)
    y = (x * xd) % R
    if y+n-1 >= R:
        print(0)
    else:
        z = rpow(d,n,R) * facts[y+n-1] * modinv(facts[y-1],R)
        print(z%R)


### FIXED CODE ###

printn = lambda x: sys.stdout.write(x)
inn = lambda : int(input())
inl   = lambda: list(map(int, input().split()))
inm   = lambda:      map(int, input().split())
DBG = True  and False
def ddprint(x):
  if DBG:
    print(x)

# extended gcd and modinv
# x = y*(x/y) + x%y
#   ->  g = ax+by = a(y*(x/y) + x%y) + by
#         = (a*(x/y) + b)*y + a*(x%y)
#
# while  g=ax+by, b==0  ->  g=x, a=1

def exgcd(x,y):
    if y == 0:
        return (x,1,0)
    else:
        g,b,a = exgcd(y, x%y)
        return (g, a, b-(x//y)*a)

# return y s.t. x*y mod p == 1
def modinv(x,p):
    return pow(x,p-2,p)


def modinv2(x,p):
    g,a,b = exgcd(x,p)  # ax+bp = g, g=1 if mutually prime
    return a%p


R = 1000003
facts = [1] * R
for i in range(2,R):
    facts[i] = (facts[i-1]*i)%R

qq = inn()
for q in range(qq):
    x,d,n = inm()
    if d==0:
        print(pow(x,n,R))
        continue
    xd = modinv(d,R)
    y = (x * xd) % R
    if y+n-1 >= R:
        print(0)
    else:
        z = pow(d,n,R) * facts[y+n-1] * modinv(facts[y-1],R)
        print(z%R)
### BUGGY CODE ###

import sys
import bisect

N=int(sys.stdin.readline())
A=list(map(int,sys.stdin.readline().split()))
B=list(map(int,sys.stdin.readline().split()))

#print(A,B)
#print([bin(A[i]) for i in range(N)])
#print([bin(B[i]) for i in range(N)])

ANS=""
for i in range(1,30):
    XA=sorted([A[t]%(2**i) for t in range(N)])
    XB=sorted([B[t]%(2**i) for t in range(N)])
    XB.append(2**(i+1))
    XA.reverse()

    #print(XA,XB)

    b0=0
    b1=0
    b2=0
    #b3=0
    count=0

    for xa in XA:
        b0=bisect.bisect_left(XB,2**(i-1)-xa,lo=b0)
        b1=bisect.bisect_left(XB,2**i-xa,lo=b1)
        b2=bisect.bisect_left(XB,2**(i-1)*3-xa,lo=b2)

        count+=b1-b0+N-b2

    ANS+=str(count%2)

#print(ANS)
print(int(ANS[::-1],2))

### FIXED CODE ###

import sys

N=int(sys.stdin.readline())
A=list(map(int,sys.stdin.readline().split()))
B=list(map(int,sys.stdin.readline().split()))

ANS=""
for i in range(1,30):
    k=2**i
    XA=sorted([a%k for a in A],reverse=True)
    XB=sorted([b%k for b in B])
    XB.append(k*2)

    b0=0
    b1=0
    b2=0
    count=0

    for xa in XA:
        for j in range(b0,N+1):
            if k//2<=xa+XB[j]:
                b0=j
                break

        if b1<b0:
            b1=b0

        
        for j in range(b1,N+1):
            if xa+XB[j]>=k:
                b1=j
                break

        if b2<b1:
            b2=b1

        for j in range(b2,N+1):
            if k*3//2<=xa+XB[j]:
                b2=j
                break

        count+=(b1-b0+N-b2)

    ANS+=str(count%2)

print(int(ANS[::-1],2))