INF = 1 << 60

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

s = set()
for i in range(n):
  s.add(x[i])
  s.add(x[i] - a[i])
  s.add(x[i] + a[i])

xs = sorted(list(s))
idx = {}
for i in range(len(xs)):
  idx[xs[i]] = i

g = [[] for _ in range(len(xs))]
deg = [0 for _ in range(len(xs))]
for i in range(n):
  v = idx[x[i]]
  u = idx[x[i] - a[i]]
  w = idx[x[i] + a[i]]
  g[w].append(v)
  g[u].append(v)
  deg[v] += 1
  deg[v] += 1

dist = [INF for _ in range(len(xs))]
par = [None for _ in range(len(xs))]
st = []
for v in range(len(xs)):
  if deg[v] == 0:
    dist[v] = 0
    par[v] = v
    st.append(v)

while len(st) > 0:
  cur = st.pop()
  for nxt in g[cur]:
    if not par[nxt] is None:
      continue
    par[nxt] = par[cur]
    dist[nxt] = xs[par[nxt]] - xs[nxt]
    st.append(nxt)

for i in range(n):
  print(dist[idx[x[i]]])