import sys
input = sys.stdin.readline
from operator import itemgetter

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

X_INV=dict()

for i in range(N):
    X_INV[X[i]]=i

E=[[] for i in range(N)]
E_INV=[[] for i in range(N)]

for i in range(N):
    x=X[i]
    a=A[i]

    if x+a in X_INV:
        k=X_INV[x+a]
        E[i].append(k)
        E_INV[k].append(i)

    if x-a in X_INV:
        k=X_INV[x-a]
        E[i].append(k)
        E_INV[k].append(i)

score=[(X[i]+A[i],i) for i in range(N)]
score.sort(key=itemgetter(0),reverse=True)

ANS=[-1000000]*N


for sc,ind in score:
    Q=[ind]

    while Q:
        x=Q.pop()
        if ANS[x]>0:
            continue
        ANS[x]=sc

        for to in E_INV[x]:
            if ANS[to]<0:
                Q.append(to)
            

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