import sys,random,bisect
from collections import deque,defaultdict
import heapq
from itertools import permutations
from math import gcd

input = lambda :sys.stdin.readline().rstrip()
mi = lambda :map(int,input().split())
li = lambda :list(mi())

INF = 10**17

class UnionFindVerSize():
    def __init__(self, N):
        self._parent = [n for n in range(0, N)]
        self._size = [1] * N
        self.group = N

    def find_root(self, x):
        if self._parent[x] == x: return x
        self._parent[x] = self.find_root(self._parent[x])
        stack = [x]
        while self._parent[stack[-1]]!=stack[-1]:
            stack.append(self._parent[stack[-1]])
        for v in stack:
            self._parent[v] = stack[-1]
        return self._parent[x]

    def unite(self, x, y):
        gx = self.find_root(x)
        gy = self.find_root(y)
        if gx == gy: return

        self.group -= 1

        if self._size[gx] < self._size[gy]:
            self._parent[gx] = gy
            self._size[gy] += self._size[gx]
        else:
            self._parent[gy] = gx
            self._size[gx] += self._size[gy]

    def get_size(self, x):
        return self._size[self.find_root(x)]

    def is_same_group(self, x, y):
        return self.find_root(x) == self.find_root(y)

N = int(input())
X = li()
A = li()

dic = {x:i for i,x in enumerate(X)}
uf = UnionFindVerSize(N)
for i in range(N):
    if X[i]+A[i] in dic:
        j = dic[X[i]+A[i]]
        uf.unite(i,j)
    if X[i]-A[i] in dic:
        j = dic[X[i]-A[i]]
        uf.unite(i,j)

ans = [-1 for i in range(N)]

p = [[] for i in range(N)]
for i in range(N):
    p[uf.find_root(i)].append(i)

for i in range(N):
    if not p[i]:
        continue
    M = max(X[v]+A[v] for v in p[i])
    for v in p[i]:
        ans[v] = M-X[v]

assert min(ans) > 0
print(*ans,sep="\n")