use std::{cmp::Reverse, collections::VecDeque};

fn main() {
    let n = {
        let mut line = String::new();
        std::io::stdin().read_line(&mut line).unwrap();
        line.trim().parse::<usize>().unwrap()
    };
    let xx = {
        let mut line = String::new();
        std::io::stdin().read_line(&mut line).unwrap();
        line.split_whitespace()
            .map(|x| x.parse::<usize>().unwrap())
            .collect::<Vec<_>>()
    };
    let aa = {
        let mut line = String::new();
        std::io::stdin().read_line(&mut line).unwrap();
        line.split_whitespace()
            .map(|x| x.parse::<usize>().unwrap())
            .collect::<Vec<_>>()
    };

    let mut graph = vec![vec![]; n];

    for curr_idx in 0..n {
        if xx[curr_idx] >= aa[curr_idx] {
            if let Ok(next_idx) = xx.binary_search(&(xx[curr_idx] - aa[curr_idx])) {
                graph[next_idx].push(curr_idx);
            }
        }

        if let Ok(next_idx) = xx.binary_search(&(xx[curr_idx] + aa[curr_idx])) {
            graph[next_idx].push(curr_idx);
        }
    }

    let mut sorted_indexes: Vec<usize> = (0..n).collect();
    sorted_indexes.sort_unstable_by_key(|&i| Reverse(xx[i] + aa[i]));
    let mut falling_positions = vec![0; n];

    for &leader_idx in sorted_indexes.iter() {
        if falling_positions[leader_idx] != 0 {
            continue;
        }

        let falling_position = xx[leader_idx] + aa[leader_idx];
        falling_positions[leader_idx] = falling_position;
        let mut que = VecDeque::from(vec![leader_idx]);

        while let Some(curr) = que.pop_front() {
            for &next in graph[curr].iter() {
                if falling_positions[next] == 0 {
                    falling_positions[next] = falling_position;
                    que.push_back(next);
                }
            }
        }
    }

    for (&dist, &x) in falling_positions.iter().zip(xx.iter()) {
        println!("{}", dist - x);
    }
}