// ---------- begin SegmentTree Point update Range query ---------- mod segment_tree { pub struct PURQ { size: usize, data: Vec, e: T, op: F, } #[allow(dead_code)] impl PURQ where T: Clone, F: Fn(&T, &T) -> T, { pub fn new(size: usize, e: T, op: F) -> PURQ { let size = size.next_power_of_two(); PURQ { size, data: vec![e.clone(); 2 * size], e: e, op: op, } } pub fn update(&mut self, x: usize, v: T) { assert!(x < self.size); let mut x = x + self.size; let data = &mut self.data; data[x] = v; x >>= 1; while x > 0 { data[x] = (self.op)(&data[2 * x], &data[2 * x + 1]); x >>= 1; } } pub fn update_tmp(&mut self, x: usize, v: T) { assert!(x < self.size); self.data[x + self.size] = v; } pub fn update_all(&mut self) { let data = &mut self.data; for k in (1..self.size).rev() { data[k] = (self.op)(&data[2 * k], &data[2 * k + 1]); } } pub fn find(&self, l: usize, r: usize) -> T { assert!(l <= r && r <= self.size); if l == r { return self.e.clone(); } let mut p = self.e.clone(); let mut q = self.e.clone(); let mut l = l + self.size; let mut r = r + self.size; let data = &self.data; while l < r { if l & 1 == 1 { p = (self.op)(&p, &data[l]); l += 1; } if r & 1 == 1 { r -= 1; q = (self.op)(&data[r], &q); } l >>= 1; r >>= 1; } (self.op)(&p, &q) } } } // ---------- end SegmentTree Point update Range query ---------- // ---------- begin input macro ---------- // reference: https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 macro_rules! input { (source = $s:expr, $($r:tt)*) => { let mut iter = $s.split_whitespace(); input_inner!{iter, $($r)*} }; ($($r:tt)*) => { let s = { use std::io::Read; let mut s = String::new(); std::io::stdin().read_to_string(&mut s).unwrap(); s }; let mut iter = s.split_whitespace(); input_inner!{iter, $($r)*} }; } macro_rules! input_inner { ($iter:expr) => {}; ($iter:expr, ) => {}; ($iter:expr, $var:ident : $t:tt $($r:tt)*) => { let $var = read_value!($iter, $t); input_inner!{$iter $($r)*} }; } macro_rules! read_value { ($iter:expr, ( $($t:tt),* )) => { ( $(read_value!($iter, $t)),* ) }; ($iter:expr, [ $t:tt ; $len:expr ]) => { (0..$len).map(|_| read_value!($iter, $t)).collect::>() }; ($iter:expr, chars) => { read_value!($iter, String).chars().collect::>() }; ($iter:expr, bytes) => { read_value!($iter, String).bytes().collect::>() }; ($iter:expr, usize1) => { read_value!($iter, usize) - 1 }; ($iter:expr, $t:ty) => { $iter.next().unwrap().parse::<$t>().expect("Parse error") }; } // ---------- end input macro ---------- // ---------- begin super slice ---------- pub trait SuperSlice { type Item; fn lower_bound(&self, key: &Self::Item) -> usize where Self::Item: Ord; fn lower_bound_by(&self, f: F) -> usize where F: FnMut(&Self::Item) -> std::cmp::Ordering; fn lower_bound_by_key(&self, key: &K, f: F) -> usize where K: Ord, F: FnMut(&Self::Item) -> K; fn upper_bound(&self, key: &Self::Item) -> usize where Self::Item: Ord; fn upper_bound_by(&self, f: F) -> usize where F: FnMut(&Self::Item) -> std::cmp::Ordering; fn upper_bound_by_key(&self, key: &K, f: F) -> usize where K: Ord, F: FnMut(&Self::Item) -> K; fn reverse_lower_bound(&self, key: &Self::Item) -> usize where Self::Item: Ord, { self.lower_bound_by(|p| p.cmp(key).reverse()) } fn reverse_upper_bound(&self, key: &Self::Item) -> usize where Self::Item: Ord, { self.upper_bound_by(|p| p.cmp(key).reverse()) } } impl SuperSlice for [T] { type Item = T; fn lower_bound(&self, key: &Self::Item) -> usize where T: Ord, { self.lower_bound_by(|p| p.cmp(key)) } fn lower_bound_by(&self, mut f: F) -> usize where F: FnMut(&Self::Item) -> std::cmp::Ordering, { self.binary_search_by(|p| f(p).then(std::cmp::Ordering::Greater)) .unwrap_err() } fn lower_bound_by_key(&self, key: &K, mut f: F) -> usize where K: Ord, F: FnMut(&Self::Item) -> K, { self.lower_bound_by(|p| f(p).cmp(key)) } fn upper_bound(&self, key: &Self::Item) -> usize where T: Ord, { self.upper_bound_by(|p| p.cmp(key)) } fn upper_bound_by(&self, mut f: F) -> usize where F: FnMut(&Self::Item) -> std::cmp::Ordering, { self.binary_search_by(|p| f(p).then(std::cmp::Ordering::Less)) .unwrap_err() } fn upper_bound_by_key(&self, key: &K, mut f: F) -> usize where K: Ord, F: FnMut(&Self::Item) -> K, { self.upper_bound_by(|p| f(p).cmp(key)) } } // ---------- end super slice ---------- fn run() { input! { n: usize, p: [i64; n], a: [i64; n], } let mut seg = segment_tree::PURQ::new(n, (n as i64, n), |a, b| std::cmp::min(*a, *b)); for (i, p) in p.iter().enumerate() { seg.update_tmp(i, (*p, i)); } seg.update_all(); let mut sum = p.clone(); sum.push(0); for i in (0..n).rev() { sum[i] += sum[i + 1]; } let mut ans = vec![0; n]; let mut dfs = vec![(0, n)]; while let Some((l, r)) = dfs.pop() { if l >= r { continue; } let (v, x) = seg.find(l, r); dfs.push((l, x)); dfs.push((x + 1, r)); let po = &mut ans[(v - 1) as usize]; let a = a[(v - 1) as usize]; if x - l <= r - x { let right = &sum[(x + 1)..=r]; for &s in sum[l..=x].iter() { *po += right.reverse_upper_bound(&(s - a)); } } else { let left = &sum[l..=x]; for &s in sum[(x + 1)..=r].iter() { *po += left.len() - left.reverse_lower_bound(&(s + a)); } } } use std::io::Write; let out = std::io::stdout(); let mut out = std::io::BufWriter::new(out.lock()); for a in ans.iter() { writeln!(out, "{}", *a).ok(); } } fn main() { run(); }