from collections import deque

N = int(input())
X = list(map(int, input().split()))
A = list(map(int, input().split()))
S = set(X)
E = [[] for _ in range(N)]
T = [] # 落ちた場所と落とした人を記録
dic = dict(zip(X, range(N)))

for i, x in enumerate(X):
    a = A[i]
    if x + a in S:
        E[dic[x + a]].append(i)
    else:
        T.append((x + a, i))
    if x - a in S:
        E[dic[x - a]].append(i)
#print(E)
#print(T)
T.sort(key = lambda x:-x[0])

RP = [-1] * N  # 到達ポジション

visited = [0] * N

for rpos, i in T:
    RP[i] = max(RP[i], rpos)
    #visited = [0] * N
    q = deque()
    q.append(i)
    visited[i] = 1
    while len(q) > 0:
        u = q.pop()
        for v in E[u]:
            if visited[v] == 0:
                visited[v] = 1
                RP[v] = max(RP[v], rpos)
                q.append(v)

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