import sys

int1 = lambda x: int(x) - 1

# input = lambda: sys.stdin.buffer.readline()
input = lambda: sys.stdin.readline().rstrip()
ii = lambda: int(input())
i1 = lambda: int1(input())
mi = lambda: map(int, input().split())
mi1 = lambda: map(int1, input().split())
li = lambda: list(mi())
li1 = lambda: list(mi1())
lli = lambda n: [li() for _ in range(n)]

INF = float("inf")
mod = int(1e9 + 7)
# mod = 998244353


class dsu:
    n = 1
    parent_or_size = [-1 for i in range(n)]

    def __init__(self, N):
        self.n = N
        self.parent_or_size = [-1 for i in range(N)]

    def merge(self, a, b):
        assert 0 <= a < self.n, "0<=a<n,a={0},n={1}".format(a, self.n)
        assert 0 <= b < self.n, "0<=b<n,b={0},n={1}".format(b, self.n)
        x = self.leader(a)
        y = self.leader(b)
        if x == y:
            return x
        if -self.parent_or_size[x] < -self.parent_or_size[y]:
            x, y = y, x
        self.parent_or_size[x] += self.parent_or_size[y]
        self.parent_or_size[y] = x
        return x

    def same(self, a, b):
        assert 0 <= a < self.n, "0<=a<n,a={0},n={1}".format(a, self.n)
        assert 0 <= b < self.n, "0<=b<n,b={0},n={1}".format(b, self.n)
        return self.leader(a) == self.leader(b)

    def leader(self, a):
        assert 0 <= a < self.n, "0<=a<n,a={0},n={1}".format(a, self.n)
        if self.parent_or_size[a] < 0:
            return a
        self.parent_or_size[a] = self.leader(self.parent_or_size[a])
        return self.parent_or_size[a]


from bisect import bisect_left

n = ii()
x = li()
a = li()
uf = dsu(n)
for i in range(n):
    j = bisect_left(x, x[i] - a[i])
    if x[j] == x[i] - a[i]:
        uf.merge(i, j)
    j = bisect_left(x, x[i] + a[i])
    if j < n and x[j] == x[i] + a[i]:
        uf.merge(i, j)

ans = [0] * n
for i in range(n):
    r = uf.leader(i)
    if ans[r] < x[i] + a[i]:
        ans[r] = x[i] + a[i]
for i in range(n):
    print(ans[uf.leader(i)]-x[i])