use std::cmp::*; use std::io::Read; use std::io::Write; const BOUND: i64 = 1_000_000_000_000; const INF: i64 = BOUND * 200_000 + 1; struct MaxCntSecond { max: i64, max_cnt: i64, second_max: i64, } impl MaxCntSecond { fn new(max: i64, max_cnt: i64, second_max: i64) -> Self { assert!(max_cnt > 0); assert!(max > second_max); MaxCntSecond { max: max, max_cnt: max_cnt, second_max: second_max, } } fn fold(&self, rhs: &Self) -> Self { match self.max.cmp(&rhs.max) { Ordering::Equal => MaxCntSecond::new( self.max, self.max_cnt + rhs.max_cnt, max(self.second_max, rhs.second_max), ), Ordering::Less => { MaxCntSecond::new(rhs.max, rhs.max_cnt, max(self.max, rhs.second_max)) } Ordering::Greater => { MaxCntSecond::new(self.max, self.max_cnt, max(self.second_max, rhs.max)) } } } fn tag(&self, val: i64) -> bool { self.second_max < val && val < self.max } fn chmin(&mut self, val: i64) -> i64 { assert!(self.tag(val)); let diff = val - self.max; self.max = val; diff * self.max_cnt } fn add(&mut self, val: i64) { self.max += val; self.second_max += val; } fn update(&mut self, val: i64) { assert!(self.second_max < -BOUND); self.max = val; self.second_max = -INF; } fn parts(&self) -> (i64, i64, i64) { (self.max, self.max_cnt, self.second_max) } } struct MinCntSecond { min: i64, min_cnt: i64, second_min: i64, } impl MinCntSecond { fn new(min: i64, min_cnt: i64, second_min: i64) -> Self { assert!(min_cnt > 0); assert!(min < second_min); MinCntSecond { min: min, min_cnt: min_cnt, second_min: second_min, } } fn fold(&self, rhs: &Self) -> Self { match self.min.cmp(&rhs.min) { Ordering::Equal => MinCntSecond::new( self.min, self.min_cnt + rhs.min_cnt, min(self.second_min, rhs.second_min), ), Ordering::Greater => { MinCntSecond::new(rhs.min, rhs.min_cnt, min(self.min, rhs.second_min)) } Ordering::Less => { MinCntSecond::new(self.min, self.min_cnt, min(self.second_min, rhs.min)) } } } fn tag(&self, val: i64) -> bool { self.second_min > val && val > self.min } fn chmax(&mut self, val: i64) -> i64 { assert!(self.tag(val)); let diff = val - self.min; self.min = val; diff * self.min_cnt } fn add(&mut self, val: i64) { self.min += val; self.second_min += val; } fn update(&mut self, val: i64) { assert!(self.second_min > BOUND); self.min = val; self.second_min = INF; } fn parts(&self) -> (i64, i64, i64) { (self.min, self.min_cnt, self.second_min) } } struct Value { max: MaxCntSecond, min: MinCntSecond, sum: i64, add: i64, len: i64, } impl Value { fn new(val: i64) -> Self { Value { max: MaxCntSecond::new(val, 1, -INF), min: MinCntSecond::new(val, 1, INF), sum: val, add: 0, len: 1, } } fn get_sum(&self) -> i64 { self.sum } fn get_max(&self) -> i64 { self.max.max } fn get_min(&self) -> i64 { self.min.min } fn fold(&self, rhs: &Self) -> Self { let max = self.max.fold(&rhs.max); let min = self.min.fold(&rhs.min); assert!(max.max >= min.min); let sum = self.get_sum() + rhs.get_sum(); let len = self.len + rhs.len; Value { max: max, min: min, sum: sum, add: 0, len: len, } } fn tag_max(&self, val: i64) -> bool { self.max.tag(val) } fn tag_min(&self, val: i64) -> bool { self.min.tag(val) } fn chmin(&mut self, x: i64) { assert!(self.tag_max(x)); let (a, _, _) = self.max.parts(); let (p, _, r) = self.min.parts(); self.sum += self.max.chmin(x); if a == p { self.min.update(x); } else if r == a { self.min.second_min = x; } } fn chmax(&mut self, x: i64) { assert!(self.tag_min(x)); let (a, _, _) = self.max.parts(); let (p, _, r) = self.min.parts(); self.sum += self.min.chmax(x); if a == p { self.max.update(x); } else if r == a { self.max.second_max = x; } } fn add(&mut self, val: i64) { self.max.add(val); self.min.add(val); self.sum += val * self.len; self.add += val; } } fn propagate(seg: &mut [Value], k: usize) { let v = seg[k].add; seg[k].add = 0; let max = seg[k].get_max(); let min = seg[k].get_min(); for s in seg[(2 * k)..].iter_mut().take(2) { s.add(v); if s.tag_max(max) { s.chmin(max); } if s.tag_min(min) { s.chmax(min); } } } fn update(seg: &mut [Value], k: usize) { assert!(seg[k].add == 0); seg[k] = seg[2 * k].fold(&seg[2 * k + 1]); } #[allow(dead_code)] fn update_chmin(seg: &mut [Value], k: usize, l: usize, r: usize, x: usize, y: usize, val: i64) { if y <= l || r <= x || seg[k].get_max() <= val { return; } if x <= l && r <= y && seg[k].tag_max(val) { seg[k].chmin(val); return; } propagate(seg, k); let m = (l + r) / 2; update_chmin(seg, 2 * k, l, m, x, y, val); update_chmin(seg, 2 * k + 1, m, r, x, y, val); update(seg, k); } fn update_chmax(seg: &mut [Value], k: usize, l: usize, r: usize, x: usize, y: usize, val: i64) { if y <= l || r <= x || seg[k].get_min() >= val { return; } if x <= l && r <= y && seg[k].tag_min(val) { seg[k].chmax(val); return; } propagate(seg, k); let m = (l + r) / 2; update_chmax(seg, 2 * k, l, m, x, y, val); update_chmax(seg, 2 * k + 1, m, r, x, y, val); update(seg, k); } #[allow(dead_code)] fn update_add(seg: &mut [Value], k: usize, l: usize, r: usize, x: usize, y: usize, val: i64) { if y <= l || r <= x { return; } if x <= l && r <= y { seg[k].add(val); return; } propagate(seg, k); let m = (l + r) / 2; update_add(seg, 2 * k, l, m, x, y, val); update_add(seg, 2 * k + 1, m, r, x, y, val); update(seg, k); } fn find_sum(seg: &mut [Value], k: usize, l: usize, r: usize, x: usize, y: usize) -> i64 { if y <= l || r <= x { return 0; } if x <= l && r <= y { return seg[k].get_sum(); } propagate(seg, k); let m = (l + r) / 2; find_sum(seg, 2 * k, l, m, x, y) + find_sum(seg, 2 * k + 1, m, r, x, y) } fn run() { let out = std::io::stdout(); let mut out = std::io::BufWriter::new(out.lock()); let mut s = String::new(); std::io::stdin().read_to_string(&mut s).unwrap(); let mut it = s.trim().split_whitespace(); let n: usize = it.next().unwrap().parse().unwrap(); let w: usize = 20000 + 1; let size = w.next_power_of_two(); let mut seg = vec![]; for _ in 0..4 { let mut a = (0..(2 * size)).map(|_| Value::new(0)).collect::>(); for i in (1..size).rev() { update(&mut a, i); } seg.push(a); } let mut ans = vec![0; n]; for ans in ans.iter_mut() { let mut a = vec![]; for _ in 0..4 { let v: i32 = it.next().unwrap().parse().unwrap(); a.push(v); } for (seg, &(x, y)) in seg.iter_mut().zip(vec![(-a[0], -a[1]), (-a[0], a[3]), (a[2], -a[1]), (a[2], a[3])].iter()) { let x = x as usize; let y = y as i64; update_chmax(seg, 1, 0, size, 0, x, y); *ans += find_sum(seg, 1, 0, size, 0, size); } } writeln!(out, "{}", ans[0]).ok(); for ans in ans.windows(2) { let a = ans[1] - ans[0]; writeln!(out, "{}", a).ok(); } } fn main() { run(); }