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QOJ

ID题目提交者结果用时内存语言文件大小提交时间测评时间
#289785#7862. Land Tradeucup-team296#AC ✓218ms11932kbRust56.0kb2023-12-24 00:25:052023-12-24 00:25:06

Judging History

你现在查看的是最新测评结果

  • [2023-12-24 00:25:06]
  • 评测
  • 测评结果:AC
  • 用时:218ms
  • 内存:11932kb
  • [2023-12-24 00:25:05]
  • 提交

answer

pub mod solution {
//{"name":"f","group":"Manual","url":"","interactive":false,"timeLimit":2000,"tests":[{"input":"","output":""},{"input":"","output":""},{"input":"","output":""}],"testType":"single","input":{"type":"stdin","fileName":null,"pattern":null},"output":{"type":"stdout","fileName":null,"pattern":null},"languages":{"java":{"taskClass":"f"}}}

use crate::f;
use crate::algo_lib::geometry::line::Line;
use crate::algo_lib::geometry::point::PointT;
use crate::algo_lib::geometry::polygon::PolygonT;
use crate::algo_lib::io::output::output;
use crate::algo_lib::io::task_io_settings::TaskIoType;
use crate::algo_lib::io::task_runner::run_task;
use crate::algo_lib::io::input::Input;
use crate::algo_lib::io::task_io_settings::TaskIoSettings;
use crate::algo_lib::misc::ord_f64::OrdF64;
#[allow(unused)]
use crate::dbg;
use crate::out;
use crate::out_line;

#[derive(Debug)]
enum Formula {
    Atomic(Line),
    And(Box<Formula>, Box<Formula>),
    Or(Box<Formula>, Box<Formula>),
    Xor(Box<Formula>, Box<Formula>),
    Not(Box<Formula>),
}

fn parse_line(s: &[u8]) -> (Line, &[u8]) {
    let mut to = 0usize;
    let mut numbers: Vec<i64> = vec![];
    let mut cur_number = vec![];
    loop {
        if s[to] == b',' || s[to] == b']' {
            let ss = String::from_utf8(cur_number).unwrap();
            let value: i64 = ss.parse().unwrap();
            numbers.push(value);
            cur_number = vec![];
        } else {
            cur_number.push(s[to]);
        }
        if s[to] == b']' {
            break;
        }
        to += 1;
    }
    assert_eq!(numbers.len(), 3);
    let line = Line::new3(numbers[0], numbers[1], numbers[2]);
    (line, &s[to + 1..])
}

fn parse(s: &[u8]) -> (Box<Formula>, &[u8]) {
    assert!(!s.is_empty());
    let c = s[0];
    if c == b'(' {
        let next_c = s[1];
        if next_c == b'!' {
            let (formula, rest) = parse(&s[2..]);
            assert!(rest[0] == b')');
            (Box::new(Formula::Not(formula)), &rest[1..])
        } else {
            let (left, rest) = parse(&s[1..]);
            let c = rest[0];
            let (right, rest) = parse(&rest[1..]);
            assert!(rest[0] == b')');
            let rest = &rest[1..];
            if c == b'&' {
                (Box::new(Formula::And(left, right)), rest)
            } else if c == b'|' {
                return (Box::new(Formula::Or(left, right)), rest);
            } else if c == b'^' {
                return (Box::new(Formula::Xor(left, right)), rest);
            } else {
                panic!("Unknown operation {}", c as char);
            }
        }
    } else {
        assert!(c == b'[');
        let (line, rest) = parse_line(&s[1..]);
        (Box::new(Formula::Atomic(line)), rest)
    }
}

fn calc_all_lines(f: &Formula, all_lines: &mut Vec<Line>) {
    match f {
        Formula::Atomic(line) => {
            all_lines.push(line.clone());
        }
        Formula::And(left, right) => {
            calc_all_lines(left, all_lines);
            calc_all_lines(right, all_lines);
        }
        Formula::Or(left, right) => {
            calc_all_lines(left, all_lines);
            calc_all_lines(right, all_lines);
        }
        Formula::Xor(left, right) => {
            calc_all_lines(left, all_lines);
            calc_all_lines(right, all_lines);
        }
        Formula::Not(formula) => {
            calc_all_lines(formula, all_lines);
        }
    }
}

type Point = PointT<OrdF64>;

fn calc_formula(f: &Formula, p: Point) -> i32 {
    match f {
        Formula::Atomic(line) => {
            let res = line.a * p.x + line.b * p.y + line.c;
            if res >= f!(0.0) {
                1
            } else {
                0
            }
        }
        Formula::And(left, right) => calc_formula(left, p) & calc_formula(right, p),
        Formula::Or(left, right) => calc_formula(left, p) | calc_formula(right, p),
        Formula::Xor(left, right) => calc_formula(left, p) ^ calc_formula(right, p),
        Formula::Not(formula) => 1 - calc_formula(formula, p),
    }
}

fn solve(input: &mut Input, _test_case: usize) {
    let xmin = input.i64();
    let xmax = input.i64();
    let ymin = input.i64();
    let ymax = input.i64();
    let s = input.string();
    let (formula, rest) = parse(&s);
    assert!(rest.is_empty());
    // dbg!(formula);
    let mut all_lines = vec![];
    calc_all_lines(&formula, &mut all_lines);
    {
        let a = (xmin, ymin);
        let b = (xmin, ymax);
        let c = (xmax, ymax);
        let d = (xmax, ymin);

        all_lines.push(Line::new_gcd(a, b));
        all_lines.push(Line::new_gcd(b, c));
        all_lines.push(Line::new_gcd(c, d));
        all_lines.push(Line::new_gcd(d, a));
    }

    for line in all_lines.iter_mut() {
        line.norm();
    }

    all_lines.sort();
    all_lines.dedup();

    let mut all_points = vec![];
    let mut on_line = vec![vec![]; all_lines.len()];
    for i in 0..all_lines.len() {
        for j in i + 1..all_lines.len() {
            if let Some(p) = all_lines[i].intersect(&all_lines[j]) {
                all_points.push(p);
            }
        }
    }
    const EPS: f64 = 1e-9;
    let cmp = |p1: &Point, p2: &Point| {
        let dx = (p1.x - p2.x).abs().0;
        if dx < EPS {
            p1.y.partial_cmp(&p2.y).unwrap()
        } else {
            p1.x.partial_cmp(&p2.x).unwrap()
        }
    };
    all_points.sort_by(cmp);
    all_points.dedup_by(|p1, p2| {
        let dx = (p1.x - p2.x).abs().0;
        let dy = (p1.y - p2.y).abs().0;
        dx < EPS && dy < EPS
    });
    for i in 0..all_lines.len() {
        for j in 0..all_points.len() {
            if all_lines[i].on_line(&all_points[j]) {
                on_line[i].push(j);
            }
        }
        on_line[i].sort();
    }
    let mut all_edges = vec![];
    let mut g = vec![vec![]; all_points.len()];
    for i in 0..all_lines.len() {
        for w in on_line[i].windows(2) {
            let from = w[0];
            let to = w[1];
            all_edges.push((from, to));
            g[from].push(all_edges.len() - 1);
            all_edges.push((to, from));
            g[to].push(all_edges.len() - 1);
        }
    }
    for v in 0..g.len() {
        g[v].sort_by(|&to1, &to2| {
            let p1 = all_points[all_edges[to1].1] - all_points[v];
            let p2 = all_points[all_edges[to2].1] - all_points[v];
            let s1 = p1.side();
            let s2 = p2.side();
            if s1 != s2 {
                s1.cmp(&s2)
            } else {
                Point::vect_mul2(&p1, &p2).cmp(&f!(0.0))
            }
        });
    }
    let mut edge_pos = vec![usize::MAX; all_edges.len()];
    for v in 0..g.len() {
        for i in 0..g[v].len() {
            let to = g[v][i];
            edge_pos[to] = i;
        }
    }
    let mut seen = vec![false; all_edges.len()];
    let mut res = 0.0;
    for start_edge in 0..all_edges.len() {
        if seen[start_edge] {
            continue;
        }
        let mut cur_edge = start_edge;
        let mut points = vec![];
        while !seen[cur_edge] {
            seen[cur_edge] = true;
            let (fr, to) = all_edges[cur_edge];
            points.push(all_points[fr]);
            let pos = edge_pos[cur_edge ^ 1];
            let need_pos = (pos + 1) % g[to].len();
            cur_edge = g[to][need_pos];
        }
        let polygon = PolygonT::new(points);
        let area = polygon.area_signed().0;
        // dbg!(area, polygon);
        if area < 0.0 {
            // SKIP
            continue;
        }
        let center = polygon.center_of_gravity();
        if center.x >= xmin.into()
            && center.x <= xmax.into()
            && center.y >= ymin.into()
            && center.y <= ymax.into()
        {
            let formula_res = calc_formula(&formula, center);
            // dbg!("GOOD!", formula_res);
            if formula_res == 1 {
                res += area.abs();
            }
        }
    }
    out_line!(res);
}

pub(crate) fn run(mut input: Input) -> bool {
    solve(&mut input, 1);
    output().flush();
    true
}

#[allow(unused)]
pub fn submit() -> bool {
    let io = TaskIoSettings {
        is_interactive: false,
        input: TaskIoType::Std,
        output: TaskIoType::Std,
    };

    run_task(io, run)
}

}
pub mod algo_lib {
pub mod collections {
pub mod array_2d {
use crate::algo_lib::io::output::Output;
use crate::algo_lib::io::output::Writable;
use crate::algo_lib::misc::num_traits::Number;
use std::io::Write;
use std::ops::Index;
use std::ops::IndexMut;
use std::ops::Mul;

// TODO: implement good Debug
#[derive(Clone, Debug)]
pub struct Array2D<T> {
    rows: usize,
    cols: usize,
    v: Vec<T>,
}

pub struct Iter<'a, T> {
    array: &'a Array2D<T>,
    row: usize,
    col: usize,
}

impl<T> Array2D<T>
where
    T: Clone,
{
    #[allow(unused)]
    pub fn new(empty: T, rows: usize, cols: usize) -> Self {
        Self {
            rows,
            cols,
            v: vec![empty; rows * cols],
        }
    }

    pub fn new_f(rows: usize, cols: usize, mut f: impl FnMut(usize, usize) -> T) -> Self {
        let mut v = Vec::with_capacity(rows * cols);
        for r in 0..rows {
            for c in 0..cols {
                v.push(f(r, c));
            }
        }
        Self { rows, cols, v }
    }

    pub fn rows(&self) -> usize {
        self.rows
    }

    #[allow(clippy::len_without_is_empty)]
    pub fn len(&self) -> usize {
        self.rows()
    }

    pub fn cols(&self) -> usize {
        self.cols
    }

    pub fn swap(&mut self, row1: usize, row2: usize) {
        assert!(row1 < self.rows);
        assert!(row2 < self.rows);
        if row1 != row2 {
            for col in 0..self.cols {
                self.v.swap(row1 * self.cols + col, row2 * self.cols + col);
            }
        }
    }

    pub fn transpose(&self) -> Self {
        Self::new_f(self.cols, self.rows, |r, c| self[c][r].clone())
    }

    pub fn iter(&self) -> Iter<T> {
        Iter {
            array: self,
            row: 0,
            col: 0,
        }
    }

    pub fn pref_sum(&self) -> Self
    where
        T: Number,
    {
        let mut res = Self::new(T::ZERO, self.rows + 1, self.cols + 1);
        for i in 0..self.rows {
            for j in 0..self.cols {
                let value = self[i][j] + res[i][j + 1] + res[i + 1][j] - res[i][j];
                res[i + 1][j + 1] = value;
            }
        }
        res
    }
}

impl<T> Writable for Array2D<T>
where
    T: Writable,
{
    fn write(&self, output: &mut Output) {
        for r in 0..self.rows {
            self[r].write(output);
            output.write_all(&[b'\n']).unwrap();
        }
    }
}

impl<T> Index<usize> for Array2D<T> {
    type Output = [T];

    fn index(&self, index: usize) -> &Self::Output {
        &self.v[(index) * self.cols..(index + 1) * self.cols]
    }
}

impl<T> IndexMut<usize> for Array2D<T> {
    fn index_mut(&mut self, index: usize) -> &mut Self::Output {
        &mut self.v[(index) * self.cols..(index + 1) * self.cols]
    }
}

impl<T> Mul for &Array2D<T>
where
    T: Number,
{
    type Output = Array2D<T>;

    fn mul(self, rhs: Self) -> Self::Output {
        let n = self.rows;
        let m = self.cols;
        assert_eq!(m, rhs.rows);
        let k2 = rhs.cols;
        let mut res = Array2D::new(T::ZERO, n, k2);
        for i in 0..n {
            for j in 0..m {
                for k in 0..k2 {
                    res[i][k] += self[i][j] * rhs[j][k];
                }
            }
        }
        res
    }
}

impl<T> Array2D<T>
where
    T: Number,
{
    pub fn pown(&self, pw: usize) -> Self {
        assert_eq!(self.rows, self.cols);
        let n = self.rows;
        if pw == 0 {
            Self::new_f(n, n, |r, c| if r == c { T::ONE } else { T::ZERO })
        } else if pw == 1 {
            self.clone()
        } else {
            let half = self.pown(pw / 2);
            let half2 = &half * &half;
            if pw & 1 == 0 {
                half2
            } else {
                &half2 * self
            }
        }
    }
}

impl<'a, T> Iterator for Iter<'a, T> {
    type Item = &'a T;

    fn next(&mut self) -> Option<Self::Item> {
        if self.col == self.array.cols {
            self.col = 0;
            self.row += 1;
        }
        if self.row >= self.array.rows {
            return None;
        }
        let elem = &self.array[self.row][self.col];
        self.col += 1;
        Some(elem)
    }
}
}
}
pub mod geometry {
pub mod direction {
use crate::algo_lib::geometry::point::PointT;
use crate::algo_lib::misc::num_traits::Number;
use std::cmp::Ordering;

///
/// Sorted counter-clock-wise
/// starting from (0;0) -> (inf; 0)
///
pub struct DirectionT<T>(PointT<T>)
where
    T: Number;

#[derive(Ord, PartialOrd, Eq, PartialEq)]
enum Side {
    PositiveY,
    NegativeY,
}

impl<T> DirectionT<T>
where
    T: Number,
{
    pub fn new(from: PointT<T>, to: PointT<T>) -> Self {
        Self(to - from)
    }

    pub fn inverse(&self) -> Self {
        Self(PointT::ZERO - self.0)
    }

    fn side(&self) -> Side {
        if self.0.y > T::ZERO || (self.0.y == T::ZERO && self.0.x >= T::ZERO) {
            Side::PositiveY
        } else {
            Side::NegativeY
        }
    }
}

impl<T> PartialEq<Self> for DirectionT<T>
where
    T: Number + Ord,
{
    fn eq(&self, other: &Self) -> bool {
        self.cmp(other) == Ordering::Equal
    }
}

impl<T> Eq for DirectionT<T> where T: Number + Ord {}

impl<T> PartialOrd<Self> for DirectionT<T>
where
    T: Number + Ord,
{
    fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
        Some(
            self.side().cmp(&other.side()).then(
                PointT::<T>::vect_mul2(&self.0, &other.0)
                    .cmp(&T::ZERO)
                    .reverse(),
            ),
        )
    }
}

impl<T> Ord for DirectionT<T>
where
    T: Number + Ord,
{
    fn cmp(&self, other: &Self) -> Ordering {
        self.partial_cmp(other).unwrap()
    }
}
}
pub mod line {
use crate::algo_lib::geometry::point::PointT;
use crate::algo_lib::math::gcd::gcd;
use crate::algo_lib::misc::num_traits::HasConstants;
use crate::algo_lib::misc::ord_f64::OrdF64;
use std::fmt::Debug;

type Point = PointT<OrdF64>;

// a*x + b*y + c = 0
#[derive(Debug, Clone, PartialEq, Eq, PartialOrd, Ord)]
pub struct Line {
    pub a: OrdF64,
    pub b: OrdF64,
    pub c: OrdF64,
}

impl Line {
    pub fn new(p1: &Point, p2: &Point) -> Self {
        let a = p2.y - p1.y;
        let b = p1.x - p2.x;
        let res = Self {
            a,
            b,
            c: -(p1.x * a + p1.y * b),
        };
        debug_assert!(res.on_line(p1));
        debug_assert!(res.on_line(p2));
        res
    }

    pub fn new_gcd(p1: (i64, i64), p2: (i64, i64)) -> Self {
        let mut a = p2.1 - p1.1;
        let mut b = p1.0 - p2.0;
        let mut c = -(p1.0 * a + p1.1 * b);
        let mut g = gcd(a, b);
        g = gcd(g, c);
        g = g.abs();
        a /= g;
        b /= g;
        c /= g;
        Self {
            a: a.into(),
            b: b.into(),
            c: c.into(),
        }
    }

    pub fn norm(&mut self) {
        if self.a > OrdF64::EPS {
        } else if self.a < -OrdF64::EPS {
            self.a = -self.a;
            self.b = -self.b;
            self.c = -self.c;
        } else if self.b > OrdF64::EPS {
            return;
        } else if self.b < -OrdF64::EPS {
            self.b = -self.b;
            self.c = -self.c;
        }
    }

    pub fn new3(mut a: i64, mut b: i64, mut c: i64) -> Self {
        let mut g = gcd(a, b);
        g = gcd(g, c);
        g = g.abs();
        a /= g;
        b /= g;
        c /= g;
        let res = Self {
            a: a.into(),
            b: b.into(),
            c: c.into(),
        };
        debug_assert!(res.a != OrdF64::ZERO || res.b != OrdF64::ZERO);
        res
    }

    pub fn on_line(&self, p: &Point) -> bool {
        (self.a * p.x + self.b * p.y + self.c).eq_with_default_eps(&OrdF64::ZERO)
    }

    pub fn intersect(&self, other: &Self) -> Option<Point> {
        let denom = self.b * other.a - other.b * self.a;
        if denom.eq_with_default_eps(&OrdF64::ZERO) {
            return None;
        }
        let y_num = other.c * self.a - self.c * other.a;
        let x_num = self.c * other.b - other.c * self.b;
        let res = Point::new(x_num / denom, y_num / denom);
        debug_assert!(
            self.abs_dist(&res)
                .eq_with_eps(&OrdF64::ZERO, OrdF64::SMALL_EPS),
            "line = {:?}, p = {:?}, dist = {:?}",
            self,
            res,
            self.abs_dist(&res)
        );
        debug_assert!(
            other
                .abs_dist(&res)
                .eq_with_eps(&OrdF64::ZERO, OrdF64::SMALL_EPS),
            "line = {:?}, p = {:?}, dist = {:?}",
            other,
            res,
            self.abs_dist(&res)
        );
        Some(res)
    }

    pub fn signed_dist(&self, p: &Point) -> OrdF64 {
        (self.a * p.x + self.b * p.y + self.c) / (self.a * self.a + self.b * self.b).sqrt()
    }

    pub fn abs_dist(&self, p: &Point) -> OrdF64 {
        self.signed_dist(p).abs()
    }

    pub fn abs_dist2(&self, p: &Point) -> OrdF64 {
        let z = self.a * p.x + self.b * p.y + self.c;
        z * z / (self.a * self.a + self.b * self.b)
    }

    pub fn closest_to_zero(&self) -> Point {
        let den = self.a * self.a + self.b * self.b;
        Point::new(-self.a * self.c / den, -self.b * self.c / den)
    }
}
}
pub mod point {
use crate::algo_lib::collections::array_2d::Array2D;
use crate::f;
use crate::algo_lib::io::input::Input;
use crate::algo_lib::io::input::Readable;
use crate::algo_lib::io::output::Output;
use crate::algo_lib::io::output::Writable;
use crate::algo_lib::iters::shifts::Shift;
use crate::algo_lib::misc::num_traits::Number;
use crate::algo_lib::misc::ord_f64::OrdF64;
use std::ops::Add;
use std::ops::AddAssign;
use std::ops::Mul;
use std::ops::Sub;
use std::ops::SubAssign;

#[derive(Copy, Clone, Eq, PartialEq, Hash, Debug, Default)]
pub struct PointT<T: Number> {
    pub x: T,
    pub y: T,
}

impl<T: Ord + Number> Ord for PointT<T> {
    fn cmp(&self, other: &Self) -> std::cmp::Ordering {
        self.x.cmp(&other.x).then(self.y.cmp(&other.y))
    }
}

impl<T: Ord + Number> PartialOrd for PointT<T> {
    fn partial_cmp(&self, other: &Self) -> Option<std::cmp::Ordering> {
        self.cmp(other).into()
    }
}

impl<T: Number> PointT<T> {
    pub fn new(x: T, y: T) -> Self {
        Self { x, y }
    }

    pub fn dist2(&self, p2: &PointT<T>) -> T {
        let dx = self.x - p2.x;
        let dy = self.y - p2.y;
        dx * dx + dy * dy
    }

    pub fn side(&self) -> i32 {
        if self.y > T::ZERO || (self.y == T::ZERO && self.x >= T::ZERO) {
            return 0;
        }
        1
    }

    pub fn dist_manh(&self, p2: &PointT<T>) -> T {
        let dx = self.x - p2.x;
        let dy = self.y - p2.y;
        let dx_abs = if dx < T::ZERO { T::ZERO - dx } else { dx };
        let dy_abs = if dy < T::ZERO { T::ZERO - dy } else { dy };
        dx_abs + dy_abs
    }

    pub fn angle_to(&self, other: &PointT<T>) -> OrdF64
    where
        f64: From<T>,
    {
        let dy = other.y - self.y;
        let dx = other.x - self.x;
        OrdF64(f64::atan2(dy.into(), dx.into()))
    }

    pub fn swap_x_y(&self) -> Self {
        Self::new(self.y, self.x)
    }

    pub fn vect_mul(p1: &PointT<T>, p2: &PointT<T>, p3: &PointT<T>) -> T {
        (p2.x - p1.x) * (p3.y - p1.y) - (p2.y - p1.y) * (p3.x - p1.x)
    }

    pub fn scal_mul(p1: &PointT<T>, p2: &PointT<T>, p3: &PointT<T>) -> T {
        Self::scal_mul2(&(*p2 - *p1), &(*p3 - *p1))
    }

    pub fn scal_mul2(p1: &PointT<T>, p2: &PointT<T>) -> T {
        p1.x * p2.x + p1.y * p2.y
    }

    pub fn vect_mul2(p1: &PointT<T>, p2: &PointT<T>) -> T {
        p1.x * p2.y - p1.y * p2.x
    }

    pub fn apply_shift(&self, shift: &Shift) -> Self {
        Self {
            x: self.x + T::from_i32(shift.dx),
            y: self.y + T::from_i32(shift.dy),
        }
    }

    pub fn shift(&self, dx: T, dy: T) -> Self {
        Self {
            x: self.x + dx,
            y: self.y + dy,
        }
    }

    pub fn scale(&self, coef: T) -> Self {
        Self {
            x: self.x * coef,
            y: self.y * coef,
        }
    }

    pub fn index_vec2d<'a, Elem>(&self, arr: &'a [Vec<Elem>]) -> Option<&'a Elem> {
        if self.x >= T::ZERO
            && self.x < T::from_i32(arr.len() as i32)
            && self.y >= T::ZERO
            && self.y < T::from_i32(arr[T::to_i32(self.x) as usize].len() as i32)
        {
            let x = T::to_i32(self.x) as usize;
            let y = T::to_i32(self.y) as usize;
            Some(&arr[x][y])
        } else {
            None
        }
    }

    pub fn index_arr2d<'a, Elem>(&self, arr: &'a Array2D<Elem>) -> Option<&'a Elem>
    where
        Elem: Clone,
    {
        if self.x >= T::ZERO
            && self.x < T::from_i32(arr.len() as i32)
            && self.y >= T::ZERO
            && self.y < T::from_i32(arr[T::to_i32(self.x) as usize].len() as i32)
        {
            let x = T::to_i32(self.x) as usize;
            let y = T::to_i32(self.y) as usize;
            Some(&arr[x][y])
        } else {
            None
        }
    }

    pub fn rotate_ccw(&self) -> Self {
        Self::new(T::ZERO - self.y, self.x)
    }

    pub const ZERO: PointT<T> = PointT {
        x: T::ZERO,
        y: T::ZERO,
    };

    pub fn conv_float(&self) -> PointT<OrdF64> {
        PointT::new(OrdF64(self.x.to_f64()), OrdF64(self.y.to_f64()))
    }
}

impl<T> Add for PointT<T>
where
    T: Number,
{
    type Output = Self;

    fn add(self, rhs: Self) -> Self::Output {
        Self::new(self.x + rhs.x, self.y + rhs.y)
    }
}

impl<T> AddAssign for PointT<T>
where
    T: Number,
{
    fn add_assign(&mut self, rhs: Self) {
        self.x += rhs.x;
        self.y += rhs.y;
    }
}

impl<T> Sub for PointT<T>
where
    T: Number,
{
    type Output = Self;

    fn sub(self, rhs: Self) -> Self::Output {
        Self::new(self.x - rhs.x, self.y - rhs.y)
    }
}

impl<T> SubAssign for PointT<T>
where
    T: Number,
{
    fn sub_assign(&mut self, rhs: Self) {
        self.x -= rhs.x;
        self.y -= rhs.y;
    }
}

impl<T> Readable for PointT<T>
where
    T: Number + Readable,
{
    fn read(input: &mut Input) -> Self {
        let x = input.read();
        let y = input.read();
        Self { x, y }
    }
}

impl<T> Writable for PointT<T>
where
    T: Number + Writable,
{
    fn write(&self, output: &mut Output) {
        self.x.write(output);
        output.put(b' ');
        self.y.write(output);
    }
}

#[derive(Copy, Clone, Eq, PartialEq, Hash, Debug)]
pub struct PointWithIdT<T: Number> {
    pub p: PointT<T>,
    id: u32,
}

impl<T> PointWithIdT<T>
where
    T: Number,
{
    pub fn new(p: PointT<T>, id: usize) -> Self {
        Self { p, id: id as u32 }
    }

    pub fn id(&self) -> usize {
        self.id as usize
    }
}

impl PointWithIdT<OrdF64> {
    pub fn dist(&self, other: &Self) -> OrdF64 {
        self.p.dist2(&other.p).sqrt()
    }
}

impl PointT<OrdF64> {
    pub fn rotate_ccw_angle(&self, angle: OrdF64) -> Self {
        let cos = f!(angle.0.cos());
        let sin = f!(angle.0.sin());
        let x = self.x * cos - self.y * sin;
        let y = self.y * cos + self.x * sin;
        Self { x, y }
    }
}

impl Mul<OrdF64> for PointT<OrdF64> {
    type Output = PointT<OrdF64>;

    fn mul(self, rhs: OrdF64) -> Self::Output {
        Self {
            x: self.x * rhs,
            y: self.y * rhs,
        }
    }
}
}
pub mod polygon {
use crate::algo_lib::geometry::line::Line;
use crate::algo_lib::geometry::point::PointT;
use crate::algo_lib::geometry::segment::SegmentT;
use crate::algo_lib::io::input::Input;
use crate::algo_lib::io::input::Readable;
use crate::algo_lib::misc::num_traits::HasConstants;
use crate::algo_lib::misc::num_traits::Number;
use crate::algo_lib::misc::num_traits::Signum;
use crate::algo_lib::misc::ord_f64::OrdF64;
use std::fmt::Debug;
use std::fmt::Formatter;

pub struct PolygonT<T>
where
    T: Number,
{
    points: Vec<PointT<T>>,
}

pub struct PolygonEdgeIter<'a, T>
where
    T: Number,
{
    polygon: &'a PolygonT<T>,
    pos: u32,
}

impl<T> PolygonT<T>
where
    T: Number + Ord,
{
    pub fn new(mut points: Vec<PointT<T>>) -> Self {
        assert_ne!(points.len(), 0);
        points.push(points[0]);
        Self { points }
    }

    pub fn new_rect(start: PointT<T>, end: PointT<T>) -> Self {
        Self::new(vec![
            start,
            PointT::new(end.x, start.y),
            end,
            PointT::new(start.x, end.y),
        ])
    }

    pub fn points(&self) -> &[PointT<T>] {
        &self.points[0..self.points.len() - 1]
    }

    pub fn edges(&self) -> PolygonEdgeIter<T> {
        PolygonEdgeIter {
            polygon: self,
            pos: 0,
        }
    }

    pub fn min_x(&self) -> T {
        self.points.iter().map(|p| p.x).min().unwrap()
    }

    pub fn max_x(&self) -> T {
        self.points.iter().map(|p| p.x).max().unwrap()
    }

    pub fn min_y(&self) -> T {
        self.points.iter().map(|p| p.y).min().unwrap()
    }

    pub fn max_y(&self) -> T {
        self.points.iter().map(|p| p.y).max().unwrap()
    }

    pub fn area_signed(&self) -> T {
        let mut res = T::ZERO;
        for edge in self.edges() {
            res += edge.from.x * edge.to.y - edge.to.x * edge.from.y;
        }
        res / T::TWO
    }

    pub fn area_x2(&self) -> T {
        let mut res = T::ZERO;
        for edge in self.edges() {
            res += edge.from.x * edge.to.y - edge.to.x * edge.from.y;
        }
        if res < T::ZERO {
            T::ZERO - res
        } else {
            res
        }
    }

    // To the left of [from] --> [to]
    pub fn cut(&self, from: PointT<T>, to: PointT<T>) -> PolygonT<OrdF64>
    where
        f64: From<T>,
    {
        let l1 = Line::new(&from.conv_float(), &to.conv_float());

        let mut pts = vec![];
        for s in self.edges() {
            let (cur, next) = (s.from, s.to);

            let v_cur = PointT::vect_mul(&from, &to, &cur);
            let v_next = PointT::vect_mul(&from, &to, &next);
            if v_cur >= T::ZERO {
                pts.push(cur.conv_float());
            }
            if v_cur != T::ZERO && v_next != T::ZERO && v_cur.signum() != v_next.signum() {
                let l2 = Line::new(&cur.conv_float(), &next.conv_float());
                let intersection = l1.intersect(&l2).unwrap();
                pts.push(intersection);
            }
        }
        PolygonT::new(pts)
    }

    fn center_of_triangle(
        p1: PointT<OrdF64>,
        p2: PointT<OrdF64>,
        p3: PointT<OrdF64>,
    ) -> PointT<OrdF64> {
        let x = (p1.x + p2.x + p3.x) / OrdF64(3.0);
        let y = (p1.y + p2.y + p3.y) / OrdF64(3.0);
        PointT::new(x, y)
    }

    pub fn center_of_gravity(&self) -> PointT<OrdF64> {
        let mut sum_sq = OrdF64(0.0);
        let mut res = PointT::ZERO;
        for seg in self.edges() {
            let (cur, next) = (seg.from.conv_float(), seg.to.conv_float());
            let vmul = cur.x * next.y - cur.y * next.x;
            sum_sq += vmul;
            let center = Self::center_of_triangle(PointT::ZERO, cur, next);
            res += PointT::new(center.x * vmul, center.y * vmul);
        }
        assert!(sum_sq > OrdF64::ZERO);
        res.x /= sum_sq;
        res.y /= sum_sq;
        res
    }
}

impl<'a, T> Iterator for PolygonEdgeIter<'a, T>
where
    T: Number + Ord,
{
    type Item = SegmentT<T>;

    fn next(&mut self) -> Option<Self::Item> {
        let first = self.polygon.points[self.pos as usize];
        self.pos += 1;
        let second = self.polygon.points.get(self.pos as usize);
        second.map(|&second| SegmentT::new(first, second))
    }
}

impl<T> Readable for PolygonT<T>
where
    T: Number + Readable + Ord,
{
    fn read(input: &mut Input) -> Self {
        let n = input.usize();
        Self::new(input.vec::<PointT<T>>(n))
    }
}

impl<T> Debug for PolygonT<T>
where
    T: Number + Ord,
{
    fn fmt(&self, f: &mut Formatter<'_>) -> std::fmt::Result {
        writeln!(f, "[")?;
        for (id, p) in self.points().iter().enumerate() {
            writeln!(f, " {}:: ({:?}; {:?})", id, p.x, p.y)?;
        }
        writeln!(f, "]")
    }
}

impl PolygonT<OrdF64> {
    pub fn area(&self) -> OrdF64 {
        self.area_x2() / OrdF64::TWO
    }
}
}
pub mod segment {
use std::cmp::Ordering;

use crate::algo_lib::geometry::direction::DirectionT;
use crate::algo_lib::geometry::line::Line;
use crate::algo_lib::geometry::point::PointT;
use crate::algo_lib::geometry::segment_intersection::inside_bounding_box;
use crate::algo_lib::misc::num_traits::HasConstants;
use crate::algo_lib::misc::num_traits::Number;
use crate::algo_lib::misc::ord_f64::OrdF64;

#[derive(Copy, Clone, Debug)]
pub struct SegmentT<T>
where
    T: Number,
{
    pub from: PointT<T>,
    pub to: PointT<T>,
}

impl<T> SegmentT<T>
where
    T: Number + Ord,
{
    pub fn new(from: PointT<T>, to: PointT<T>) -> Self {
        Self { from, to }
    }

    pub fn dir(&self) -> DirectionT<T> {
        DirectionT::new(self.from, self.to)
    }

    ///
    /// 1 means "[p] is to the left from [self.from] -> [self.to] ray"
    /// 0 means "on the same line"
    ///
    pub fn to_the_left(&self, p: &PointT<T>) -> i32 {
        let v_mul = PointT::<T>::vect_mul(&self.from, &self.to, p);
        match v_mul.cmp(&T::ZERO) {
            Ordering::Less => -1,
            Ordering::Equal => 0,
            Ordering::Greater => 1,
        }
    }
}

impl SegmentT<OrdF64> {
    pub fn to_line(&self) -> Line {
        Line::new(&self.from, &self.to)
    }

    pub fn contains(&self, p: &PointT<OrdF64>) -> bool {
        // TODO: should use eps?
        inside_bounding_box(self, p) && PointT::vect_mul(&self.from, &self.to, p) == OrdF64::ZERO
    }

    pub fn len2(&self) -> OrdF64 {
        self.from.dist2(&self.to)
    }

    pub fn len(&self) -> OrdF64 {
        self.len2().sqrt()
    }
}
}
pub mod segment_intersection {
use crate::algo_lib::geometry::point::PointT;
use crate::algo_lib::geometry::segment::SegmentT;
use crate::algo_lib::misc::ord_f64::OrdF64;
use std::cmp::max;
use std::cmp::min;

type Point = PointT<OrdF64>;
type Segment = SegmentT<OrdF64>;

fn inside_one_dim(range: (OrdF64, OrdF64), val: OrdF64) -> bool {
    min(range.0, range.1) - OrdF64::EPS <= val && val <= max(range.0, range.1) + OrdF64::EPS
}

pub fn inside_bounding_box(seg: &Segment, p: &Point) -> bool {
    inside_one_dim((seg.from.x, seg.to.x), p.x) && inside_one_dim((seg.from.y, seg.to.y), p.y)
}

pub fn segment_intersection(seg1: &Segment, seg2: &Segment) -> Option<Point> {
    seg1.to_line()
        .intersect(&seg2.to_line())
        .filter(|&inter| inside_bounding_box(seg1, &inter) && inside_bounding_box(seg2, &inter))
}
}
}
pub mod io {
pub mod input {
use std::fmt::Debug;
use std::io::Read;
use std::marker::PhantomData;
use std::path::Path;
use std::str::FromStr;

pub struct Input {
    input: Box<dyn Read>,
    buf: Vec<u8>,
    at: usize,
    buf_read: usize,
}

macro_rules! read_integer_fun {
    ($t:ident) => {
        #[allow(unused)]
        pub fn $t(&mut self) -> $t {
            self.read_integer()
        }
    };
}

impl Input {
    const DEFAULT_BUF_SIZE: usize = 4096;

    ///
    /// Using with stdin:
    /// ```no_run
    /// use algo_lib::io::input::Input;
    /// let stdin = std::io::stdin();
    /// let input = Input::new(Box::new(stdin));
    /// ```
    ///
    /// For read files use ``new_file`` instead.
    ///
    ///
    pub fn new(input: Box<dyn Read>) -> Self {
        Self {
            input,
            buf: vec![0; Self::DEFAULT_BUF_SIZE],
            at: 0,
            buf_read: 0,
        }
    }

    pub fn new_file<P: AsRef<Path>>(path: P) -> Self {
        let file = std::fs::File::open(&path)
            .unwrap_or_else(|_| panic!("Can't open file: {:?}", path.as_ref().as_os_str()));
        Self::new(Box::new(file))
    }

    pub fn new_with_size(input: Box<dyn Read>, buf_size: usize) -> Self {
        Self {
            input,
            buf: vec![0; buf_size],
            at: 0,
            buf_read: 0,
        }
    }

    pub fn new_file_with_size<P: AsRef<Path>>(path: P, buf_size: usize) -> Self {
        let file = std::fs::File::open(&path)
            .unwrap_or_else(|_| panic!("Can't open file: {:?}", path.as_ref().as_os_str()));
        Self::new_with_size(Box::new(file), buf_size)
    }

    pub fn get(&mut self) -> Option<u8> {
        if self.refill_buffer() {
            let res = self.buf[self.at];
            self.at += 1;
            Some(res)
        } else {
            None
        }
    }

    pub fn peek(&mut self) -> Option<u8> {
        if self.refill_buffer() {
            Some(self.buf[self.at])
        } else {
            None
        }
    }

    pub fn skip_whitespace(&mut self) {
        while let Some(b) = self.peek() {
            if !char::from(b).is_whitespace() {
                return;
            }
            self.get();
        }
    }

    pub fn next_token(&mut self) -> Option<Vec<u8>> {
        self.skip_whitespace();
        let mut res = Vec::new();
        while let Some(c) = self.get() {
            if char::from(c).is_whitespace() {
                break;
            }
            res.push(c);
        }
        if res.is_empty() {
            None
        } else {
            Some(res)
        }
    }

    //noinspection RsSelfConvention
    pub fn is_exhausted(&mut self) -> bool {
        self.peek().is_none()
    }

    pub fn has_more_elements(&mut self) -> bool {
        !self.is_exhausted()
    }

    pub fn read<T: Readable>(&mut self) -> T {
        T::read(self)
    }

    pub fn vec<T: Readable>(&mut self, size: usize) -> Vec<T> {
        let mut res = Vec::with_capacity(size);
        for _ in 0usize..size {
            res.push(self.read());
        }
        res
    }

    pub fn string_vec(&mut self, size: usize) -> Vec<Vec<u8>> {
        let mut res = Vec::with_capacity(size);
        for _ in 0usize..size {
            res.push(self.string());
        }
        res
    }

    pub fn read_line(&mut self) -> String {
        let mut res = String::new();
        while let Some(c) = self.get() {
            if c == b'\n' {
                break;
            }
            if c == b'\r' {
                if self.peek() == Some(b'\n') {
                    self.get();
                }
                break;
            }
            res.push(c.into());
        }
        res
    }

    #[allow(clippy::should_implement_trait)]
    pub fn into_iter<T: Readable>(self) -> InputIterator<T> {
        InputIterator {
            input: self,
            phantom: Default::default(),
        }
    }

    fn read_integer<T: FromStr>(&mut self) -> T
    where
        <T as FromStr>::Err: Debug,
    {
        let res = self.read_string();
        res.parse::<T>().unwrap()
    }

    fn read_string(&mut self) -> String {
        match self.next_token() {
            None => {
                panic!("Input exhausted");
            }
            Some(res) => unsafe { String::from_utf8_unchecked(res) },
        }
    }

    pub fn string_as_string(&mut self) -> String {
        self.read_string()
    }

    pub fn string(&mut self) -> Vec<u8> {
        self.read_string().into_bytes()
    }

    fn read_char(&mut self) -> char {
        self.skip_whitespace();
        self.get().unwrap().into()
    }

    fn read_float(&mut self) -> f64 {
        self.read_string().parse().unwrap()
    }

    pub fn f64(&mut self) -> f64 {
        self.read_float()
    }

    fn refill_buffer(&mut self) -> bool {
        if self.at == self.buf_read {
            self.at = 0;
            self.buf_read = self.input.read(&mut self.buf).unwrap();
            self.buf_read != 0
        } else {
            true
        }
    }

    read_integer_fun!(i32);
    read_integer_fun!(i64);
    read_integer_fun!(i128);
    read_integer_fun!(u32);
    read_integer_fun!(u64);
    read_integer_fun!(usize);
}

pub trait Readable {
    fn read(input: &mut Input) -> Self;
}

impl Readable for String {
    fn read(input: &mut Input) -> Self {
        input.read_string()
    }
}

impl Readable for char {
    fn read(input: &mut Input) -> Self {
        input.read_char()
    }
}

impl Readable for f64 {
    fn read(input: &mut Input) -> Self {
        input.read_string().parse().unwrap()
    }
}

impl Readable for f32 {
    fn read(input: &mut Input) -> Self {
        input.read_string().parse().unwrap()
    }
}

impl<T: Readable> Readable for Vec<T> {
    fn read(input: &mut Input) -> Self {
        let size = input.read();
        input.vec(size)
    }
}

pub struct InputIterator<T: Readable> {
    input: Input,
    phantom: PhantomData<T>,
}

impl<T: Readable> Iterator for InputIterator<T> {
    type Item = T;

    fn next(&mut self) -> Option<Self::Item> {
        self.input.skip_whitespace();
        self.input.peek().map(|_| self.input.read())
    }
}

macro_rules! read_integer {
    ($t:ident) => {
        impl Readable for $t {
            fn read(input: &mut Input) -> Self {
                input.read_integer()
            }
        }
    };
}

read_integer!(i8);
read_integer!(i16);
read_integer!(i32);
read_integer!(i64);
read_integer!(i128);
read_integer!(isize);
read_integer!(u8);
read_integer!(u16);
read_integer!(u32);
read_integer!(u64);
read_integer!(u128);
read_integer!(usize);
}
pub mod output {
use std::io::Write;

pub struct Output {
    output: Box<dyn Write>,
    buf: Vec<u8>,
    at: usize,
    auto_flush: bool,
}

impl Output {
    const DEFAULT_BUF_SIZE: usize = 4096;

    pub fn new(output: Box<dyn Write>) -> Self {
        Self {
            output,
            buf: vec![0; Self::DEFAULT_BUF_SIZE],
            at: 0,
            auto_flush: false,
        }
    }

    pub fn new_with_auto_flush(output: Box<dyn Write>) -> Self {
        Self {
            output,
            buf: vec![0; Self::DEFAULT_BUF_SIZE],
            at: 0,
            auto_flush: true,
        }
    }

    pub fn flush(&mut self) {
        if self.at != 0 {
            self.output.write_all(&self.buf[..self.at]).unwrap();
            self.at = 0;
            self.output.flush().expect("Couldn't flush output");
        }
    }

    pub fn print<T: Writable>(&mut self, s: &T) {
        s.write(self);
    }

    pub fn put(&mut self, b: u8) {
        self.buf[self.at] = b;
        self.at += 1;
        if self.at == self.buf.len() {
            self.flush();
        }
    }

    pub fn maybe_flush(&mut self) {
        if self.auto_flush {
            self.flush();
        }
    }

    pub fn print_per_line<T: Writable>(&mut self, arg: &[T]) {
        for i in arg {
            i.write(self);
            self.put(b'\n');
        }
    }

    pub fn print_iter<T: Writable, I: Iterator<Item = T>>(&mut self, iter: I) {
        let mut first = true;
        for e in iter {
            if first {
                first = false;
            } else {
                self.put(b' ');
            }
            e.write(self);
        }
    }

    pub fn print_iter_ref<'a, T: 'a + Writable, I: Iterator<Item = &'a T>>(&mut self, iter: I) {
        let mut first = true;
        for e in iter {
            if first {
                first = false;
            } else {
                self.put(b' ');
            }
            e.write(self);
        }
    }
}

impl Write for Output {
    fn write(&mut self, buf: &[u8]) -> std::io::Result<usize> {
        let mut start = 0usize;
        let mut rem = buf.len();
        while rem > 0 {
            let len = (self.buf.len() - self.at).min(rem);
            self.buf[self.at..self.at + len].copy_from_slice(&buf[start..start + len]);
            self.at += len;
            if self.at == self.buf.len() {
                self.flush();
            }
            start += len;
            rem -= len;
        }
        if self.auto_flush {
            self.flush();
        }
        Ok(buf.len())
    }

    fn flush(&mut self) -> std::io::Result<()> {
        self.flush();
        Ok(())
    }
}

pub trait Writable {
    fn write(&self, output: &mut Output);
}

impl Writable for &str {
    fn write(&self, output: &mut Output) {
        output.write_all(self.as_bytes()).unwrap();
    }
}

impl Writable for String {
    fn write(&self, output: &mut Output) {
        output.write_all(self.as_bytes()).unwrap();
    }
}

impl Writable for char {
    fn write(&self, output: &mut Output) {
        output.put(*self as u8);
    }
}

impl<T: Writable> Writable for [T] {
    fn write(&self, output: &mut Output) {
        output.print_iter_ref(self.iter());
    }
}

impl<T: Writable> Writable for Vec<T> {
    fn write(&self, output: &mut Output) {
        self[..].write(output);
    }
}

macro_rules! write_to_string {
    ($t:ident) => {
        impl Writable for $t {
            fn write(&self, output: &mut Output) {
                self.to_string().write(output);
            }
        }
    };
}

write_to_string!(u8);
write_to_string!(u16);
write_to_string!(u32);
write_to_string!(u64);
write_to_string!(u128);
write_to_string!(usize);
write_to_string!(i8);
write_to_string!(i16);
write_to_string!(i32);
write_to_string!(i64);
write_to_string!(i128);
write_to_string!(isize);
write_to_string!(f32);
write_to_string!(f64);

impl<T: Writable, U: Writable> Writable for (T, U) {
    fn write(&self, output: &mut Output) {
        self.0.write(output);
        output.put(b' ');
        self.1.write(output);
    }
}

impl<T: Writable, U: Writable, V: Writable> Writable for (T, U, V) {
    fn write(&self, output: &mut Output) {
        self.0.write(output);
        output.put(b' ');
        self.1.write(output);
        output.put(b' ');
        self.2.write(output);
    }
}

pub static mut OUTPUT: Option<Output> = None;

pub fn set_global_output_to_stdout() {
    unsafe {
        OUTPUT = Some(Output::new(Box::new(std::io::stdout())));
    }
}

pub fn set_global_output_to_file(path: &str) {
    unsafe {
        let out_file =
            std::fs::File::create(path).unwrap_or_else(|_| panic!("Can't create file {}", path));
        OUTPUT = Some(Output::new(Box::new(out_file)));
    }
}

pub fn set_global_output_to_none() {
    unsafe {
        match &mut OUTPUT {
            None => {}
            Some(output) => output.flush(),
        }
        OUTPUT = None;
    }
}

pub fn output() -> &'static mut Output {
    unsafe {
        match &mut OUTPUT {
            None => {
                panic!("Global output wasn't initialized");
            }
            Some(output) => output,
        }
    }
}

#[macro_export]
macro_rules! out {
    ($first: expr $(,$args:expr )*) => {
        output().print(&$first);
        $(output().put(b' ');
        output().print(&$args);
        )*
        output().maybe_flush();
    }
}

#[macro_export]
macro_rules! out_line {
    ($first: expr $(, $args:expr )* ) => {
        {
            out!($first $(,$args)*);
            output().put(b'\n');
            output().maybe_flush();
        }
    };
    () => {
        {
            output().put(b'\n');
            output().maybe_flush();
        }
    };
}
}
pub mod task_io_settings {
pub enum TaskIoType {
    Std,
    File(String),
}

pub struct TaskIoSettings {
    pub is_interactive: bool,
    pub input: TaskIoType,
    pub output: TaskIoType,
}
}
pub mod task_runner {
use std::io::Write;

use super::input::Input;
use super::output::Output;
use super::output::OUTPUT;
use super::task_io_settings::TaskIoSettings;
use super::task_io_settings::TaskIoType;

pub fn run_task<Res>(io: TaskIoSettings, run: impl FnOnce(Input) -> Res) -> Res {
    let output: Box<dyn Write> = match io.output {
        TaskIoType::Std => Box::new(std::io::stdout()),
        TaskIoType::File(file) => {
            let out_file = std::fs::File::create(file).unwrap();
            Box::new(out_file)
        }
    };

    unsafe {
        OUTPUT = Some(Output::new(output));
    }

    let input = match io.input {
        TaskIoType::Std => {
            let sin = std::io::stdin();
            Input::new(Box::new(sin))
        }
        TaskIoType::File(file) => Input::new_file(file),
    };

    run(input)
}
}
}
pub mod iters {
pub mod shifts {
#[derive(Copy, Clone, Hash, Ord, PartialOrd, Eq, PartialEq)]
pub struct Shift {
    pub dx: i32,
    pub dy: i32,
}

impl Shift {
    pub fn rev(&self) -> Self {
        Self {
            dx: -self.dx,
            dy: -self.dy,
        }
    }
}

// x goes down
// y goes right
pub const SHIFT_DOWN: Shift = Shift { dx: 1, dy: 0 };
pub const SHIFT_UP: Shift = Shift { dx: -1, dy: 0 };
pub const SHIFT_RIGHT: Shift = Shift { dx: 0, dy: 1 };
pub const SHIFT_LEFT: Shift = Shift { dx: 0, dy: -1 };

pub const SHIFTS_4: [Shift; 4] = [SHIFT_DOWN, SHIFT_LEFT, SHIFT_UP, SHIFT_RIGHT];
pub const SHIFTS_8: [Shift; 8] = [
    SHIFT_DOWN,
    SHIFT_LEFT,
    SHIFT_UP,
    SHIFT_RIGHT,
    Shift { dx: -1, dy: -1 },
    Shift { dx: -1, dy: 1 },
    Shift { dx: 1, dy: -1 },
    Shift { dx: 1, dy: 1 },
];

pub const SHIFTS_9: [Shift; 9] = [
    SHIFT_DOWN,
    SHIFT_LEFT,
    SHIFT_UP,
    SHIFT_RIGHT,
    Shift { dx: -1, dy: -1 },
    Shift { dx: -1, dy: 1 },
    Shift { dx: 1, dy: -1 },
    Shift { dx: 1, dy: 1 },
    Shift { dx: 0, dy: 0 },
];

pub fn shift_by_nswe(c: u8) -> Shift {
    match c {
        b'S' | b's' => SHIFT_DOWN,
        b'N' | b'n' => SHIFT_UP,
        b'E' | b'e' => SHIFT_RIGHT,
        b'W' | b'w' => SHIFT_LEFT,
        _ => panic!("Unexpected direction!"),
    }
}

pub fn shift_by_uldr(c: u8) -> Shift {
    match c {
        b'D' | b'd' => SHIFT_DOWN,
        b'U' | b'u' => SHIFT_UP,
        b'R' | b'r' => SHIFT_RIGHT,
        b'L' | b'l' => SHIFT_LEFT,
        _ => panic!("Unexpected direction!"),
    }
}
}
}
pub mod math {
pub mod gcd {
use crate::algo_lib::misc::num_traits::Number;

#[allow(dead_code)]
fn extended_gcd(a: i64, b: i64, x: &mut i64, y: &mut i64) -> i64 {
    if a == 0 {
        *x = 0;
        *y = 1;
        return b;
    }
    let mut x1 = 0;
    let mut y1 = 0;
    let d = extended_gcd(b % a, a, &mut x1, &mut y1);
    *x = y1 - (b / a) * x1;
    *y = x1;
    d
}

///
///
/// Find any solution to equation A*x + B*y = C
///
/// Returns [false] if [C] is not divisible by gcd(A, B)
///
#[allow(dead_code)]
pub fn diophantine(a: i64, b: i64, c: i64, x0: &mut i64, y0: &mut i64, g: &mut i64) -> bool {
    *g = extended_gcd(a.abs(), b.abs(), x0, y0);
    if c % *g != 0 {
        return false;
    }
    *x0 *= c / *g;
    *y0 *= c / *g;
    if a < 0 {
        *x0 *= -1;
    }
    if b < 0 {
        *y0 *= -1;
    }
    true
}

#[allow(dead_code)]
pub fn gcd<T>(x: T, y: T) -> T
where
    T: Number + std::ops::Rem<Output = T>,
{
    if x == T::ZERO {
        y
    } else {
        gcd(y % x, x)
    }
}

pub fn lcm<T>(x: T, y: T) -> T
where
    T: Number + std::ops::Rem<Output = T>,
{
    x / gcd(x, y) * y
}
}
}
pub mod misc {
pub mod dbg_macro {
#[macro_export]
#[allow(unused_macros)]
macro_rules! dbg {
    ($first_val:expr, $($val:expr),+ $(,)?) => {
        eprint!("[{}:{}] {} = {:?}",
                    file!(), line!(), stringify!($first_val), &$first_val);
        ($(eprint!(", {} = {:?}", stringify!($val), &$val)),+,);
        eprintln!();
    };
    ($first_val:expr) => {
        eprintln!("[{}:{}] {} = {:?}",
                    file!(), line!(), stringify!($first_val), &$first_val)
    };
}
}
pub mod num_traits {
use std::cmp::Ordering;
use std::fmt::Debug;
use std::ops::Add;
use std::ops::AddAssign;
use std::ops::Div;
use std::ops::DivAssign;
use std::ops::Mul;
use std::ops::MulAssign;
use std::ops::Sub;
use std::ops::SubAssign;

pub trait HasConstants<T> {
    const MAX: T;
    const MIN: T;
    const ZERO: T;
    const ONE: T;
    const TWO: T;
}

pub trait ConvSimple<T> {
    fn from_i32(val: i32) -> T;
    fn to_i32(self) -> i32;
    fn to_f64(self) -> f64;
}

pub trait Signum {
    fn signum(&self) -> i32;
}

pub trait Number:
    Copy
    + Add<Output = Self>
    + AddAssign
    + Sub<Output = Self>
    + SubAssign
    + Mul<Output = Self>
    + MulAssign
    + Div<Output = Self>
    + DivAssign
    + PartialOrd
    + PartialEq
    + HasConstants<Self>
    + Default
    + Debug
    + Sized
    + ConvSimple<Self>
{
}

impl<
        T: Copy
            + Add<Output = Self>
            + AddAssign
            + Sub<Output = Self>
            + SubAssign
            + Mul<Output = Self>
            + MulAssign
            + Div<Output = Self>
            + DivAssign
            + PartialOrd
            + PartialEq
            + HasConstants<Self>
            + Default
            + Debug
            + Sized
            + ConvSimple<Self>,
    > Number for T
{
}

macro_rules! has_constants_impl {
    ($t: ident) => {
        impl HasConstants<$t> for $t {
            // TODO: remove `std` for new rust version..
            const MAX: $t = std::$t::MAX;
            const MIN: $t = std::$t::MIN;
            const ZERO: $t = 0;
            const ONE: $t = 1;
            const TWO: $t = 2;
        }

        impl ConvSimple<$t> for $t {
            fn from_i32(val: i32) -> $t {
                val as $t
            }

            fn to_i32(self) -> i32 {
                self as i32
            }

            fn to_f64(self) -> f64 {
                self as f64
            }
        }
    };
}

has_constants_impl!(i32);
has_constants_impl!(i64);
has_constants_impl!(i128);
has_constants_impl!(u32);
has_constants_impl!(u64);
has_constants_impl!(u128);
has_constants_impl!(usize);
has_constants_impl!(u8);

impl ConvSimple<Self> for f64 {
    fn from_i32(val: i32) -> Self {
        val as f64
    }

    fn to_i32(self) -> i32 {
        self as i32
    }

    fn to_f64(self) -> f64 {
        self
    }
}

impl HasConstants<Self> for f64 {
    const MAX: Self = Self::MAX;
    const MIN: Self = -Self::MAX;
    const ZERO: Self = 0.0;
    const ONE: Self = 1.0;
    const TWO: Self = 2.0;
}

impl<T: Number + Ord> Signum for T {
    fn signum(&self) -> i32 {
        match self.cmp(&T::ZERO) {
            Ordering::Greater => 1,
            Ordering::Less => -1,
            Ordering::Equal => 0,
        }
    }
}
}
pub mod ord_f64 {
use crate::algo_lib::io::input::Input;
use crate::algo_lib::io::input::Readable;
use crate::algo_lib::io::output::Output;
use crate::algo_lib::io::output::Writable;
use crate::algo_lib::misc::num_traits::ConvSimple;
use crate::algo_lib::misc::num_traits::HasConstants;
use std::cmp::min;
use std::cmp::Ordering;
use std::f64::consts::PI;
use std::fmt::Debug;
use std::fmt::Display;
use std::fmt::Formatter;
use std::io::Write;
use std::num::ParseFloatError;
use std::ops::Neg;
use std::ops::Rem;
use std::str::FromStr;

#[derive(PartialEq, Copy, Clone, Default)]
pub struct OrdF64(pub f64);

impl OrdF64 {
    pub const EPS: Self = Self(1e-9);
    pub const SMALL_EPS: Self = Self(1e-4);
    pub const PI: Self = Self(PI);

    pub fn abs(&self) -> Self {
        Self(self.0.abs())
    }

    pub fn eq_with_eps(&self, other: &Self, eps: Self) -> bool {
        let abs_diff = (*self - *other).abs();
        abs_diff <= eps || abs_diff <= min(self.abs(), other.abs()) * eps
    }

    pub fn eq_with_default_eps(&self, other: &Self) -> bool {
        self.eq_with_eps(other, Self::EPS)
    }

    pub fn sqrt(&self) -> Self {
        Self(self.0.sqrt())
    }

    pub fn powf(&self, n: f64) -> Self {
        Self(self.0.powf(n))
    }
}

impl Eq for OrdF64 {}

impl Ord for OrdF64 {
    fn cmp(&self, other: &Self) -> Ordering {
        self.partial_cmp(other).unwrap()
    }
}

impl PartialOrd for OrdF64 {
    fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
        self.0.partial_cmp(&other.0)
    }
}

impl std::ops::Add for OrdF64 {
    type Output = Self;

    fn add(self, rhs: Self) -> Self::Output {
        Self(self.0 + rhs.0)
    }
}

impl std::ops::AddAssign for OrdF64 {
    fn add_assign(&mut self, rhs: Self) {
        self.0 += rhs.0;
    }
}

impl std::ops::Sub for OrdF64 {
    type Output = Self;

    fn sub(self, rhs: Self) -> Self::Output {
        Self(self.0 - rhs.0)
    }
}

impl std::ops::SubAssign for OrdF64 {
    fn sub_assign(&mut self, rhs: Self) {
        self.0 -= rhs.0;
    }
}

impl std::ops::Mul for OrdF64 {
    type Output = Self;

    fn mul(self, rhs: Self) -> Self::Output {
        Self(self.0 * rhs.0)
    }
}

impl std::ops::MulAssign for OrdF64 {
    fn mul_assign(&mut self, rhs: Self) {
        self.0 *= rhs.0;
    }
}

impl std::ops::Div for OrdF64 {
    type Output = Self;

    fn div(self, rhs: Self) -> Self::Output {
        Self(self.0 / rhs.0)
    }
}

impl std::ops::DivAssign for OrdF64 {
    fn div_assign(&mut self, rhs: Self) {
        self.0 /= rhs.0;
    }
}

impl Neg for OrdF64 {
    type Output = Self;

    fn neg(self) -> Self::Output {
        Self(-self.0)
    }
}

impl Display for OrdF64 {
    fn fmt(&self, f: &mut Formatter<'_>) -> std::fmt::Result {
        Display::fmt(&self.0, f)
    }
}

impl Debug for OrdF64 {
    fn fmt(&self, f: &mut Formatter<'_>) -> std::fmt::Result {
        Debug::fmt(&self.0, f)
    }
}

impl Writable for OrdF64 {
    fn write(&self, output: &mut Output) {
        output.write_fmt(format_args!("{}", self.0)).unwrap();
    }
}

impl Readable for OrdF64 {
    fn read(input: &mut Input) -> Self {
        Self(input.read::<f64>())
    }
}

impl HasConstants<Self> for OrdF64 {
    const MAX: Self = Self(f64::MAX);
    const MIN: Self = Self(-f64::MAX);
    const ZERO: Self = Self(0.0);
    const ONE: Self = Self(1.0);
    const TWO: Self = Self(2.0);
}

impl ConvSimple<Self> for OrdF64 {
    fn from_i32(val: i32) -> Self {
        Self(val as f64)
    }

    fn to_i32(self) -> i32 {
        self.0 as i32
    }

    fn to_f64(self) -> f64 {
        self.0
    }
}

impl FromStr for OrdF64 {
    type Err = ParseFloatError;

    fn from_str(s: &str) -> Result<Self, Self::Err> {
        match s.parse::<f64>() {
            Ok(value) => Ok(Self(value)),
            Err(error) => Err(error),
        }
    }
}

impl From<OrdF64> for f64 {
    fn from(x: OrdF64) -> Self {
        x.0
    }
}

impl Rem for OrdF64 {
    type Output = Self;

    fn rem(self, rhs: Self) -> Self::Output {
        Self(self.0 % rhs.0)
    }
}

#[macro_export]
macro_rules! f {
    ($a:expr) => {
        OrdF64($a)
    };
}

impl From<usize> for OrdF64 {
    fn from(x: usize) -> Self {
        f!(x as f64)
    }
}

impl From<i32> for OrdF64 {
    fn from(x: i32) -> Self {
        f!(x as f64)
    }
}

impl From<i64> for OrdF64 {
    fn from(x: i64) -> Self {
        f!(x as f64)
    }
}

impl From<f64> for OrdF64 {
    fn from(x: f64) -> Self {
        f!(x)
    }
}
}
}
}
fn main() {
    crate::solution::submit();
}

这程序好像有点Bug,我给组数据试试?

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 2112kb

input:

0 1 0 1
([-1,1,0]^[-1,-1,1])

output:

0.5

result:

ok found '0.5000000', expected '0.5000000', error '0.0000000'

Test #2:

score: 0
Accepted
time: 0ms
memory: 2148kb

input:

-5 10 -10 5
((!([1,2,-3]&[10,3,-2]))^([-2,3,1]|[5,-2,7]))

output:

70.45169340463458

result:

ok found '70.4516934', expected '70.4516934', error '0.0000000'

Test #3:

score: 0
Accepted
time: 0ms
memory: 2200kb

input:

0 1 -1 1
([1,1,1]&[-1,-1,-1])

output:

0

result:

ok found '0.0000000', expected '0.0000000', error '-0.0000000'

Test #4:

score: 0
Accepted
time: 0ms
memory: 2056kb

input:

0 1000 0 1000
(([1,-1,0]&[-1000,999,999])&([1,0,-998]&[0,1,-998]))

output:

0.0004999999655410647

result:

ok found '0.0005000', expected '0.0005000', error '0.0000000'

Test #5:

score: 0
Accepted
time: 5ms
memory: 3176kb

input:

-725 165 643 735
((((!(([22,15,137]|(!([23,-5,-41]^(!([2,25,-515]&[-37,10,487])))))&(!(([25,24,47]^([-24,21,-114]^[19,-7,79]))^[4,20,241]))))^(!((!((!(([30,-1,474]^([14,17,155]^[-31,-6,-153]))|[-15,-15,108]))|(([-26,-11,421]&[-15,-3,-224])&[14,-3,458])))^[9,20,-404])))^(!((!((!(([14,-6,-464]^[-11,8,...

output:

47063.33485244143

result:

ok found '47063.3348524', expected '47063.3348524', error '0.0000000'

Test #6:

score: 0
Accepted
time: 5ms
memory: 3200kb

input:

767 957 738 941
((!(((!([3,-3,507]^[-30,-10,425]))^[-6,7,643])^((!((!([-11,0,450]^[21,17,-65]))&(!([17,0,64]^[-11,0,804]))))|[-31,10,-687])))&((!(([-34,12,-527]^(!([17,-14,-219]^(!([13,-27,-105]^(!([18,-47,-110]&(!([-9,-20,-455]^[-18,26,-228])))))))))^([-4,0,144]^[10,1,396])))^((!((!([35,0,-221]&[-5...

output:

36999.05865566316

result:

ok found '36999.0586557', expected '36999.0586557', error '0.0000000'

Test #7:

score: 0
Accepted
time: 199ms
memory: 11816kb

input:

-513 213 -733 114
(!((!((!((((!([2,16,-57]|[15,40,-272]))^((!(([0,26,315]|[5,-4,-336])^(!([-12,2,218]&([17,-16,-730]&[-7,3,-263])))))^[18,-7,29]))^[5,30,-126])^((!(((!((([8,9,406]^(!([-26,6,63]^[-38,-25,108])))^(([-9,20,220]^(!([-2,-27,213]^[29,16,-269])))|[-12,-4,-586]))^([30,0,-443]|(!((!([-17,0,3...

output:

295728.6081036077

result:

ok found '295728.6081036', expected '295728.6081036', error '0.0000000'

Test #8:

score: 0
Accepted
time: 76ms
memory: 11932kb

input:

-517 -379 -789 477
(((!((!(([1,-12,191]^(!(((!([32,0,89]^[-35,6,33]))^[-3,6,-293])^[20,-39,77])))^(([16,15,-285]^[15,-7,430])^([20,3,-95]|(!((!(([-15,-27,339]^[-11,-13,221])^[33,28,596]))|([-17,21,402]^[22,16,90])))))))&(!((!((!([12,-1,-279]^[-30,-13,224]))^[-29,24,-33]))^([31,-19,288]^(!((!([-1,26,...

output:

107150.6048796972

result:

ok found '107150.6048797', expected '107150.6048797', error '0.0000000'

Test #9:

score: 0
Accepted
time: 2ms
memory: 2328kb

input:

-477 275 -266 519
(!((!((!((!([-1,3,162]|[-32,16,269]))&(!(((((([-31,7,114]^([-12,7,-163]^[23,-10,159]))|(!(([0,-16,114]^[-33,15,-190])|(!([1,-22,308]^[-31,13,316])))))^((!([-12,29,-22]^(([23,15,-8]^[0,15,46])^[6,15,356])))^[22,13,-163]))^([18,17,487]^[28,23,143]))|(!(((!((!(([7,-45,-583]&([31,2,-22...

output:

335169.31051751616

result:

ok found '335169.3105175', expected '335169.3105175', error '0.0000000'

Test #10:

score: 0
Accepted
time: 2ms
memory: 2876kb

input:

175 624 -835 683
(!(((!(([-32,30,-478]^[23,4,-120])^[28,33,413]))|(!((!((!((!([-15,-5,0]^(!((!(((!([0,-32,90]^[-9,-22,-7]))^[-10,-35,344])|(!([1,11,-235]|[-31,-6,-344]))))^(!((!([-15,0,-90]|[-17,-10,-153]))^[-1,6,-8]))))))^(!([8,-6,302]^[-2,4,91]))))|([13,28,-70]^[16,-11,-74])))^(((((!((!((([-5,8,45...

output:

411470.3585049434

result:

ok found '411470.3585049', expected '411470.3585049', error '0.0000000'

Test #11:

score: 0
Accepted
time: 36ms
memory: 4076kb

input:

-1000 1000 -1000 1000
([1,0,-1000]^([0,1,-1000]^([1,0,-980]^([0,1,-980]^([1,0,-960]^([0,1,-960]^([1,0,-940]^([0,1,-940]^([1,0,-920]^([0,1,-920]^([1,0,-900]^([0,1,-900]^([1,0,-880]^([0,1,-880]^([1,0,-860]^([0,1,-860]^([1,0,-840]^([0,1,-840]^([1,0,-820]^([0,1,-820]^([1,0,-800]^([0,1,-800]^([1,0,-780]^...

output:

2000000

result:

ok found '2000000.0000000', expected '2000000.0000000', error '0.0000000'

Test #12:

score: 0
Accepted
time: 38ms
memory: 4408kb

input:

-500 500 -500 500
([2,-3,-1000]^([2,3,-1000]^([2,-3,-980]^([2,3,-980]^([2,-3,-960]^([2,3,-960]^([2,-3,-940]^([2,3,-940]^([2,-3,-920]^([2,3,-920]^([2,-3,-900]^([2,3,-900]^([2,-3,-880]^([2,3,-880]^([2,-3,-860]^([2,3,-860]^([2,-3,-840]^([2,3,-840]^([2,-3,-820]^([2,3,-820]^([2,-3,-800]^([2,3,-800]^([2,-...

output:

539999.9999999304

result:

ok found '539999.9999999', expected '540000.0000000', error '0.0000000'

Test #13:

score: 0
Accepted
time: 5ms
memory: 3056kb

input:

-1000 1000 -1000 1000
([-57,281,0]^([478,81,0]^([-362,995,0]^([-339,614,0]^([491,769,0]^([673,486,0]^([-637,374,0]^([-204,383,0]^([-509,859,0]^([-973,757,0]^([-707,648,0]^([-792,409,0]^([-944,621,0]^([446,21,0]^([-553,473,0]^([795,704,0]^([-821,992,0]^([89,47,0]^([771,332,0]^([-845,259,0]^([271,867,...

output:

1823923.8971529505

result:

ok found '1823923.8971530', expected '1823923.8971530', error '0.0000000'

Test #14:

score: 0
Accepted
time: 0ms
memory: 2120kb

input:

-1000 1000 -1000 1000
(([-27,-20,-237]^((([31,17,247]^[-4,-23,-917])^(![8,21,-342]))^((([-17,2,-281]&[-26,-31,186])|[31,-21,-697])|[-18,8,-512])))&[-5,19,-104])

output:

420530.7345409404

result:

ok found '420530.7345409', expected '420530.7345409', error '0.0000000'

Test #15:

score: 0
Accepted
time: 79ms
memory: 7720kb

input:

-1000 1000 -1000 1000
((((!(((([31,17,247]^[-4,-23,-917])^(![8,21,-342]))^((([-17,2,-281]&[-26,-31,186])|[31,-21,-697])|[-18,8,-512]))^((!((!(!((([12,23,237]|[913,22,925])^[-14,11,-956])^[-9,-10,818])))|((([3,1,-213]^[-296,-13,171])&(!(!((!((!([-10,6,636]^[17,19,-546]))^([28,28,-698]|[-14,-4,-295]))...

output:

1479667.4407859659

result:

ok found '1479667.4407860', expected '1479667.4407860', error '0.0000000'

Test #16:

score: 0
Accepted
time: 218ms
memory: 11732kb

input:

-1000 1000 -1000 1000
(((((((((((([-15,-2,9]^[-168,-28,507])^[-31,-23,293])^[23,-1,-290])^(([26,-4,869]^(([24,2,522]^[-10,5,-918])^[-22,5,50]))^[16,-827,-276]))^(([-1,-24,-651]^([16,15,-332]^[-722,29,-330]))^([-19,-23,14]^[12,-18,289])))^(((([6,-29,803]^[8,-8,50])^((([9,-7,-112]^([23,-29,-827]^[-12,...

output:

1945479.9574398734

result:

ok found '1945479.9574399', expected '1945479.9574399', error '0.0000000'

Test #17:

score: 0
Accepted
time: 1ms
memory: 2420kb

input:

0 1000 0 1000
(((((((([85,-100,0]^[21,-100,0])^[55,-100,0])^([29,-100,0]^([47,-100,0]^([78,-100,0]^([13,-100,0]^([100,-11,0]^[86,-100,0]))))))^(([48,-100,0]^[35,-100,0])^((([39,-100,0]^[98,-100,0])^([9,-100,0]^[100,-14,0]))^[100,-79,0])))^([12,-100,0]^[100,-100,0]))^((([20,-100,0]^([100,-64,0]^([100...

output:

500000

result:

ok found '500000.0000000', expected '500000.0000000', error '0.0000000'

Test #18:

score: 0
Accepted
time: 30ms
memory: 4608kb

input:

0 100 0 100
(((([-85,1,0]^((([-21,1,0]^([-55,1,0]^(([-29,1,0]^[-47,1,0])^([-78,1,0]^[-13,1,0]))))^(([11,1,-100]^[-86,1,0])^[-48,1,0]))^([-35,1,0]^((((([-39,1,0]^([-98,1,0]^[-9,1,0]))^((([14,1,-100]^[79,1,-100])^[-12,1,0])^[100,1,-100]))^((([-20,1,0]^[64,1,-100])^(([60,1,-100]^([-1,1,0]^[41,1,-100]))...

output:

4987.314854974336

result:

ok found '4987.3148550', expected '4987.3148550', error '0.0000000'

Test #19:

score: 0
Accepted
time: 112ms
memory: 7300kb

input:

-500 1000 -500 1000
((((((([2,-1,37]^[2,-1,1])^(([2,1,-55]^(([2,1,-29]^[2,1,-47])^[2,1,-78]))^([2,1,-13]^[0,1,-11])))^(((([2,1,-86]^([2,1,-48]^[2,-1,100]))^[2,-1,95])^[2,1,-98])^([2,1,-9]^([0,1,-14]^[0,1,-79]))))^([2,-1,88]^[0,1,-100]))^(([2,1,-20]^(([0,1,-64]^([2,-1,85]^[2,1,-1]))^(([2,-1,65]^([0,1...

output:

145000

result:

ok found '145000.0000000', expected '145000.0000000', error '0.0000000'

Test #20:

score: 0
Accepted
time: 1ms
memory: 3088kb

input:

0 1000 0 1000
(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!...

output:

623640

result:

ok found '623640.0000000', expected '623640.0000000', error '0.0000000'

Test #21:

score: 0
Accepted
time: 26ms
memory: 4488kb

input:

-300 300 -300 300
((([-199,200,0]&[299,-300,0])&([-1,-300,300]&[1,200,-200]))&([-1,-215,215]^((((([-1,-279,279]^[-1,-245,245])^(((((([-1,-271,271]^[-1,-253,253])^([-1,-222,222]^([-1,-287,287]^[289,-290,0])))^([-1,-214,214]^[-1,-252,252]))^(([-1,-265,265]^[-1,-261,261])^([-1,-202,202]^((([-1,-291,291...

output:

0.0000013889168676284314

result:

ok found '0.0000014', expected '0.0000014', error '0.0000000'

Test #22:

score: 0
Accepted
time: 0ms
memory: 2068kb

input:

0 1000 0 1000
(([-998,999,0]&[999,-1000,0])&[-1,-1,3])

output:

0.0000011272536619699736

result:

ok found '0.0000011', expected '0.0000011', error '0.0000000'

Extra Test:

score: 0
Extra Test Passed