use std::collections::BTreeMap;

fn main() {
    let n : usize = input();
    let x : Vec<usize> = input_vec();
    let a : Vec<usize> = input_vec();

    let mut index = (0..n).collect::<Vec<_>>();
    index.sort_by_key(|&i| x[i] + a[i]);

    let mut mp = BTreeMap::new();
    let mut ans = vec![0; n];
    for &i in index.iter().rev() {
        let x = x[i];
        let a = a[i];
        let base = *mp.get(&(x + a)).unwrap_or(&0);
        mp.insert(x, base + a);
        ans[i] = base + a;
    }


    for _ in 0..100 {
        for (i, (&x, &a)) in x.iter().zip(a.iter()).enumerate() {
            if x < a { continue }
            let base = *mp.get(&(x - a)).unwrap_or(&0);
            ans[i] = ans[i].max(base.saturating_sub(a));
            mp.insert(x, ans[i]);
        }
    }


    println!("{}", ans.iter().map(|i| i.to_string()).collect::<Vec<_>>().join("\n"));
}

#[allow(dead_code)] fn input<T: std::str::FromStr>() -> T { let mut s = String::new(); std::io::stdin().read_line(&mut s).ok(); s.trim().parse().ok().unwrap() } #[allow(dead_code)] fn input_t<T: std::str::FromStr, U: std::str::FromStr>() -> (T, U) { let mut s = String::new(); std::io::stdin().read_line(&mut s).ok(); let s = s.trim().split_whitespace().collect::<Vec<&str>>(); (s[0].parse().ok().unwrap(), s[1].parse().ok().unwrap()) } #[allow(dead_code)] fn input_t3<T1: std::str::FromStr, T2: std::str::FromStr, T3: std::str::FromStr>() -> (T1, T2, T3) { let mut s = String::new(); std::io::stdin().read_line(&mut s).ok(); let s = s.trim().split_whitespace().collect::<Vec<&str>>(); (s[0].parse().ok().unwrap(), s[1].parse().ok().unwrap(), s[2].parse().ok().unwrap()) } #[allow(dead_code)] fn input_t4<T1: std::str::FromStr, T2: std::str::FromStr, T3: std::str::FromStr, T4: std::str::FromStr>() -> (T1, T2, T3, T4) { let mut s = String::new(); std::io::stdin().read_line(&mut s).ok(); let s = s.trim().split_whitespace().collect::<Vec<&str>>(); (s[0].parse().ok().unwrap(), s[1].parse().ok().unwrap(), s[2].parse().ok().unwrap(), s[3].parse().ok().unwrap()) } #[allow(dead_code)] fn input_t5<T1: std::str::FromStr, T2: std::str::FromStr, T3: std::str::FromStr, T4: std::str::FromStr, T5: std::str::FromStr>() -> (T1, T2, T3, T4, T5) { let mut s = String::new(); std::io::stdin().read_line(&mut s).ok(); let s = s.trim().split_whitespace().collect::<Vec<&str>>(); (s[0].parse().ok().unwrap(), s[1].parse().ok().unwrap(), s[2].parse().ok().unwrap(), s[3].parse().ok().unwrap(), s[4].parse().ok().unwrap()) } #[allow(dead_code)] fn input_vec<T: std::str::FromStr>() -> Vec<T> { let mut s = String::new(); std::io::stdin().read_line(&mut s).ok(); s.trim().split_whitespace().map(|s| s.parse().ok().unwrap()).collect() }