from collections import defaultdict
import sys
sys.setrecursionlimit(10 ** 6)

N = int(input())
X = list(map(int, input().split()))
A = list(map(int, input().split()))

x2i = {X[i]: i for i in range(N)}
bs = []
r_adj = defaultdict(list)  # r_adj[i] : 人 i へボールを渡せる人リスト
for i, (x, a) in enumerate(zip(X, A)):
    bs.append((x+a, i))
    for x2 in [x+a, x-a]:
        q = x2i.get(x2, -1)
        if q != -1:
            r_adj[q].append(i)


# 人 p へ到達可能な人を全て求める
def dfs(p, used):
    if p in used: return
    used.add(p)

    for to in r_adj[p]:
        dfs(to, used)


dists = [0] * N
for x, i in sorted(bs, reverse=True):
    if dists[i] != 0: continue

    used = set()
    dfs(i, used)
    for p in used:
        if dists[p] != 0: continue
        dists[p] = x

for i in range(N):
    print(dists[i] - X[i])