use std::collections::{BTreeSet, HashMap, VecDeque};


fn main() {
    let mut n = String::new();
    std::io::stdin().read_line(&mut n).ok();
    let n: usize = n.trim().parse().unwrap();
    let mut x = String::new();
    std::io::stdin().read_line(&mut x).ok();
    let x: Vec<isize> = x.trim().split_whitespace().map(|s| s.parse().unwrap()).collect();
    let mut a = String::new();
    std::io::stdin().read_line(&mut a).ok();
    let a: Vec<isize> = a.trim().split_whitespace().map(|s| s.parse().unwrap()).collect();

    let mut points = x.iter().copied().collect::<BTreeSet<isize>>();
    for i in 0..n {
        points.insert(x[i] - a[i]);
        points.insert(x[i] + a[i]);
    }
    let mapping = points.iter().enumerate().map(|(i, &v)| (v, i)).collect::<HashMap<isize, usize>>();
    let revmap = points.iter().copied().collect::<Vec<isize>>();
    let n = points.len();
    let mut paths = vec![vec![]; n];
    for i in 0..x.len() {
        let lidx = *mapping.get(&(x[i] - a[i])).unwrap();
        let cidx = *mapping.get(&x[i]).unwrap();
        let ridx = *mapping.get(&(x[i] + a[i])).unwrap();
        paths[ridx].push(cidx);
        paths[lidx].push(cidx);
    }
    let mut result = vec![0usize; n];
    for i in (0..n).rev() {
        if paths[i].is_empty() || result[i] > 0 { continue; }
        let mut deque = VecDeque::new();
        deque.push_back(i);
        while let Some(x) = deque.pop_front() {
            for &v in paths[x].iter() {
                if result[v] > 0 { continue; }
                result[v] = i;
                deque.push_back(v);
            }
        }
    }
    for i in 0..x.len() {
        let idx = *mapping.get(&x[i]).unwrap();
        let rpos = revmap[result[idx]];
        println!("{}", rpos - x[i]);
    }
}