class UnionFind:
    def __init__(self, n: int):
        self.data = [-1] * (n+1)
        self.nexts = [i for i in range(n+1)]

    def root(self, a: int) -> int:
        if self.data[a] < 0: return a
        self.data[a] = self.root(self.data[a])
        return self.data[a]

    def unite(self, a: int, b: int) -> bool:
        pa = self.root(a)
        pb = self.root(b)
        if pa == pb: return False
        if self.data[pa] > self.data[pb]:
            pa, pb = pb, pa
        self.data[pa] += self.data[pb] # pa を pb をつなげる
        self.data[pb] = pa
        self.nexts[pa], self.nexts[pb] = self.nexts[pb], self.nexts[pa]
        return True

    def is_same(self, a: int, b: int) -> bool:
        return self.root(a) == self.root(b)

    def size(self, a: int) -> int:
        """a が属する集合のサイズ"""
        return -self.data[self.root(a)]

    def group(self, a: int):
        """a が属する集合"""
        yield a
        x = a
        while self.nexts[x] != a:
            x = self.nexts[x]
            yield x


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

x2i = {X[i]: i for i in range(N)}
uf = UnionFind(N)
bs = []
for i, (x, a) in enumerate(zip(X, A)):
    bs.append((x+a, i))

    for t in [x+a, x-a]:
        p = x2i.get(t, -1)
        if p != -1:
            uf.unite(i, p)

dists = [0] * N
for t, i in sorted(bs, reverse=True):
    if dists[i] != 0: continue
    for j in uf.group(i):
        dists[j] = max(dists[j], t)

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