from collections import defaultdict


n = int(input())
x = list(map(int,input().split()))
a = list(map(int,input().split()))
d = defaultdict(int)
hq = []

for i in range(n):
    d[x[i]] = a[i]
    hq.append([-x[i]-a[i] , i])
    hq.append([-x[i]+a[i] , i])

ans = [0] * n
hq.sort()

for j in range(2*n):
    dist,i = hq[j]
    ans[i] = max(a[i] , d[x[i] + a[i]] + a[i] , d[x[i] - a[i]] - a[i],ans[i])
    d[x[i]] = max(d[x[i]],ans[i])

print(*ans,sep="\n")