from collections import *
import sys
sys.setrecursionlimit(10**7)

class UnionFind(object):
    def __init__(self, n=1):
        self.par = [i for i in range(n)]
        self.rank = [0 for _ in range(n)]
        self.size = [1 for _ in range(n)]

    def find(self, x):
        if self.par[x] == x:
            return x
        else:
            self.par[x] = self.find(self.par[x])
            return self.par[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)
        if x != y:
            if self.rank[x] < self.rank[y]:
                x, y = y, x
            if self.rank[x] == self.rank[y]:
                self.rank[x] += 1
            self.par[y] = x
            self.size[x] += self.size[y]

    def is_same(self, x, y):
        return self.find(x) == self.find(y)

    def get_size(self, x):
        x = self.find(x)
        return self.size[x]

N = int(input())
X = list(map(int, input().split()))
A = list(map(int, input().split()))
D = defaultdict(lambda:-1)
for i in range(N):
    D[X[i]] = i
    
T = UnionFind(N)
for i in range(N):
    if D[X[i] + A[i]] != -1:
        T.union(i, D[X[i] + A[i]])
    if D[X[i] - A[i]] != -1:
        T.union(i, D[X[i] - A[i]])
        
M = [0] * N
for i in range(N):
    now = T.find(i)
    M[now] = max(M[now], X[i] + A[i])
    
for i in range(N):
    print(M[T.find(i)] - X[i])