import sys
sys.setrecursionlimit(10**7)


def scc(N, G, RG):
    order = []
    used = [0]*N
    group = [None]*N
    def dfs(s):
        used[s] = 1
        for t in G[s]:
            if not used[t]:
                dfs(t)
        order.append(s)
    def rdfs(s, col):
        group[s] = col
        used[s] = 1
        for t in RG[s]:
            if not used[t]:
                rdfs(t, col)
    for i in range(N):
        if not used[i]:
            dfs(i)
    used = [0]*N
    label = 0
    for s in reversed(order):
        if not used[s]:
            rdfs(s, label)
            label += 1
    return label, group

# 縮約後のグラフを構築
def construct(N, G, label, group):
    G0 = [set() for i in range(label)]
    GP = [[] for i in range(label)]
    for v in range(N):
        lbs = group[v]
        for w in G[v]:
            lbt = group[w]
            if lbs == lbt:
                continue
            G0[lbs].add(lbt)
        GP[lbs].append(v)
    return G0, GP


n=int(input())
x=list(map(int,input().split()))
a=list(map(int,input().split()))

G=[[] for i in range(n)]
RG=[[] for i in range(n)]

id={}
for i in range(n):
  id[x[i]]=i

for i in range(n):
  xi,ai=x[i],a[i]
  if xi-ai in id:
    j=id[xi-ai]
    G[j].append(i)
    RG[i].append(j)
  if xi+ai in id:
    j=id[xi+ai]
    G[j].append(i)
    RG[i].append(j)

label,group=scc(n,G,RG)
G0,GP=construct(n, G, label, group)

mx=[a[i]+x[i] for i in range(n)]
mx2=[0]*label

for i in range(label):
  tmp=mx2[i]
  for j in GP[i]:
    tmp=max(tmp,mx[j])
  for j in GP[i]:
    mx[j]=tmp
  for to in G0[i]:
    mx2[to]=max(tmp,mx2[to])

for i in range(n):
  print(mx[i]-x[i])