using System;
using static System.Console;
using System.Linq;
using System.Collections.Generic;

class Program
{
    static int NN => int.Parse(ReadLine());
    static int[] NList => ReadLine().Split().Select(int.Parse).ToArray();
    static int[][] NArr(long n) => Enumerable.Repeat(0, (int)n).Select(_ => NList).ToArray();
    public static void Main()
    {
        Solve();
    }
    static void Solve()
    {
        var n = NN;
        var x = NList;
        var a = NList;
        var set = new HashSet<int>(x);
        for (var i = 0; i < n; ++i)
        {
            set.Add(x[i] - a[i]);
            set.Add(x[i] + a[i]);
        }
        var list = new List<int>(set);
        list.Sort();
        var dic = new Dictionary<int, int>();
        for (var i = 0; i < list.Count; ++i) dic[list[i]] = i;
        var tree = new List<int>[list.Count];
        for (var i = 0; i < tree.Length; ++i) tree[i] = new List<int>();
        var refs = new int[list.Count];
        for (var i = 0; i < n; ++i)
        {
            tree[dic[x[i] - a[i]]].Add(dic[x[i]]);
            tree[dic[x[i] + a[i]]].Add(dic[x[i]]);
            refs[dic[x[i]]] += 2;
        }
        var q = new Queue<int>();
        for (var i = 0; i < list.Count; ++i) if (refs[i] == 0) q.Enqueue(i);
        var max = list.ToList();
        while (q.Count > 0)
        {
            var cur = q.Dequeue();
            for (var i = tree[cur].Count - 1; i >= 0; --i)
            {
                max[tree[cur][i]] = Math.Max(max[tree[cur][i]], max[cur]);
                --refs[tree[cur][i]];
                if (refs[tree[cur][i]] == 0) q.Enqueue(tree[cur][i]);
                tree[cur].RemoveAt(i);
            }
        }
        var uf = new UnionFindTree(list.Count);
        for (var i = 0; i < list.Count; ++i) foreach (var next in tree[i]) uf.Unite(i, next);
        for (var i = 0; i < list.Count; ++i) max[uf.GetRoot(i)] = Math.Max(max[uf.GetRoot(i)], max[i]);
        WriteLine(string.Join("\n" , x.Select(xi => max[uf.GetRoot(dic[xi])] - xi)));
    }
    class UnionFindTree
    {
        int[] roots;
        public UnionFindTree(int size)
        {
            roots = new int[size];
            for (var i = 0; i < size; ++i) roots[i] = -1;
        }
        public int GetRoot(int a)
        {
            if (roots[a] < 0) return a;
            return roots[a] = GetRoot(roots[a]);
        }
        public bool IsSameTree(int a, int b)
        {
            return GetRoot(a) == GetRoot(b);
        }
        public bool Unite(int a, int b)
        {
            var x = GetRoot(a);
            var y = GetRoot(b);
            if (x == y) return false;
            if (-roots[x] < -roots[y]) { var tmp = x; x = y; y = tmp; }
            roots[x] += roots[y];
            roots[y] = x;
            return true;
        }
        public int GetSize(int a)
        {
            return -roots[GetRoot(a)];
        }
    }
}