from collections import defaultdict
from heapq import heapify, heappop, heappush

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

D=defaultdict(list)
for i in range(N):
    D[X[i]-A[i]].append(i)
    D[X[i]+A[i]].append(i)

Q=[(-(X[i]+A[i]), i) for i in range(N)]
heapify(Q)

T=[-1]*N
while Q:
    d,i=heappop(Q); d=-d

    if T[i]!=-1:
        continue

    T[i]=d
    for j in D[X[i]]:
        if T[j]==-1:
            heappush(Q, (-d, j))

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