#688801 (Rust) No.1649 Manhattan Square

提出ソース

結果

問題	No.1649 Manhattan Square
ユーザー	akakimidori
提出日時	2021-08-13 21:33:38
言語	Rust (1.77.0 + proconio)
結果	AC
実行時間	252 ms / 3,000 ms
コード長	11,432 bytes
コンパイル時間	13,203 ms
コンパイル使用メモリ	401,144 KB
実行使用メモリ	22,892 KB
最終ジャッジ日時	2024-10-03 17:29:30
合計ジャッジ時間	22,817 ms
ジャッジサーバーID （参考情報）	judge2 / judge3

このコードへのチャレンジ
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テストケース

テストケース表示

入力	結果	実行時間実行使用メモリ
testcase_00	AC	1 ms 6,820 KB
testcase_01	AC	1 ms 6,816 KB
testcase_02	AC	3 ms 6,820 KB
testcase_03	AC	3 ms 6,820 KB
testcase_04	AC	3 ms 6,816 KB
testcase_05	AC	3 ms 6,816 KB
testcase_06	AC	3 ms 6,816 KB
testcase_07	AC	252 ms 22,712 KB
testcase_08	AC	229 ms 22,680 KB
testcase_09	AC	222 ms 22,696 KB
testcase_10	AC	244 ms 22,772 KB
testcase_11	AC	230 ms 22,768 KB
testcase_12	AC	205 ms 16,688 KB
testcase_13	AC	182 ms 16,648 KB
testcase_14	AC	189 ms 16,612 KB
testcase_15	AC	193 ms 16,668 KB
testcase_16	AC	187 ms 16,656 KB
testcase_17	AC	209 ms 16,612 KB
testcase_18	AC	158 ms 11,936 KB
testcase_19	AC	174 ms 13,472 KB
testcase_20	AC	192 ms 16,580 KB
testcase_21	AC	201 ms 16,576 KB
testcase_22	AC	232 ms 22,776 KB
testcase_23	AC	240 ms 22,760 KB
testcase_24	AC	217 ms 22,676 KB
testcase_25	AC	216 ms 22,736 KB
testcase_26	AC	229 ms 22,808 KB
testcase_27	AC	216 ms 22,800 KB
testcase_28	AC	228 ms 22,892 KB
testcase_29	AC	238 ms 22,728 KB
testcase_30	AC	233 ms 22,816 KB
testcase_31	AC	217 ms 22,748 KB
testcase_32	AC	230 ms 22,752 KB
testcase_33	AC	247 ms 22,768 KB
testcase_34	AC	243 ms 22,704 KB
testcase_35	AC	226 ms 22,820 KB
testcase_36	AC	233 ms 22,672 KB
testcase_37	AC	217 ms 22,808 KB
testcase_38	AC	223 ms 22,816 KB
testcase_39	AC	213 ms 22,736 KB
testcase_40	AC	220 ms 22,760 KB
testcase_41	AC	235 ms 22,712 KB
testcase_42	AC	61 ms 11,788 KB
testcase_43	AC	1 ms 6,816 KB
testcase_44	AC	1 ms 6,816 KB

権限があれば一括ダウンロードができます

コンパイルメッセージ

warning: unused import: `std::io::Write`
   --> src/main.rs:377:5
    |
377 | use std::io::Write;
    |     ^^^^^^^^^^^^^^
    |
    = note: `#[warn(unused_imports)]` on by default

warning: type alias `Map` is never used
   --> src/main.rs:380:6
    |
380 | type Map<K, V> = BTreeMap<K, V>;
    |      ^^^
    |
    = note: `#[warn(dead_code)]` on by default

warning: type alias `Set` is never used
   --> src/main.rs:381:6
    |
381 | type Set<T> = BTreeSet<T>;
    |      ^^^

warning: type alias `Deque` is never used
   --> src/main.rs:382:6
    |
382 | type Deque<T> = VecDeque<T>;
    |      ^^^^^

ソースコード

raw source code

// ---------- begin ModInt ----------
mod modint {

    #[allow(dead_code)]
    pub struct Mod;
    impl ConstantModulo for Mod {
        const MOD: u32 = 998_244_353;
    }

    #[allow(dead_code)]
    pub struct StaticMod;
    static mut STATIC_MOD: u32 = 0;
    impl Modulo for StaticMod {
        fn modulo() -> u32 {
            unsafe { STATIC_MOD }
        }
    }

    #[allow(dead_code)]
    impl StaticMod {
        pub fn set_modulo(p: u32) {
            unsafe {
                STATIC_MOD = p;
            }
        }
    }

    use std::marker::*;
    use std::ops::*;

    pub trait Modulo {
        fn modulo() -> u32;
    }

    pub trait ConstantModulo {
        const MOD: u32;
    }

    impl<T> Modulo for T
    where
        T: ConstantModulo,
    {
        fn modulo() -> u32 {
            T::MOD
        }
    }

    pub struct ModInt<T>(pub u32, PhantomData<T>);

    impl<T> Clone for ModInt<T> {
        fn clone(&self) -> Self {
            ModInt::new_unchecked(self.0)
        }
    }

    impl<T> Copy for ModInt<T> {}

    impl<T: Modulo> Add for ModInt<T> {
        type Output = ModInt<T>;
        fn add(self, rhs: Self) -> Self::Output {
            let mut d = self.0 + rhs.0;
            if d >= T::modulo() {
                d -= T::modulo();
            }
            ModInt::new_unchecked(d)
        }
    }

    impl<T: Modulo> AddAssign for ModInt<T> {
        fn add_assign(&mut self, rhs: Self) {
            *self = *self + rhs;
        }
    }

    impl<T: Modulo> Sub for ModInt<T> {
        type Output = ModInt<T>;
        fn sub(self, rhs: Self) -> Self::Output {
            let mut d = self.0 - rhs.0;
            if d >= T::modulo() {
                d += T::modulo();
            }
            ModInt::new_unchecked(d)
        }
    }

    impl<T: Modulo> SubAssign for ModInt<T> {
        fn sub_assign(&mut self, rhs: Self) {
            *self = *self - rhs;
        }
    }

    impl<T: Modulo> Mul for ModInt<T> {
        type Output = ModInt<T>;
        fn mul(self, rhs: Self) -> Self::Output {
            let v = self.0 as u64 * rhs.0 as u64 % T::modulo() as u64;
            ModInt::new_unchecked(v as u32)
        }
    }

    impl<T: Modulo> MulAssign for ModInt<T> {
        fn mul_assign(&mut self, rhs: Self) {
            *self = *self * rhs;
        }
    }

    impl<T: Modulo> Neg for ModInt<T> {
        type Output = ModInt<T>;
        fn neg(self) -> Self::Output {
            if self.0 == 0 {
                Self::zero()
            } else {
                Self::new_unchecked(T::modulo() - self.0)
            }
        }
    }

    impl<T> std::fmt::Display for ModInt<T> {
        fn fmt<'a>(&self, f: &mut std::fmt::Formatter<'a>) -> std::fmt::Result {
            write!(f, "{}", self.0)
        }
    }

    impl<T> std::fmt::Debug for ModInt<T> {
        fn fmt<'a>(&self, f: &mut std::fmt::Formatter<'a>) -> std::fmt::Result {
            write!(f, "{}", self.0)
        }
    }

    impl<T: Modulo> std::str::FromStr for ModInt<T> {
        type Err = std::num::ParseIntError;
        fn from_str(s: &str) -> Result<Self, Self::Err> {
            let val = s.parse::<u32>()?;
            Ok(ModInt::new(val))
        }
    }

    impl<T: Modulo> From<usize> for ModInt<T> {
        fn from(val: usize) -> ModInt<T> {
            ModInt::new_unchecked((val % T::modulo() as usize) as u32)
        }
    }

    impl<T: Modulo> From<u64> for ModInt<T> {
        fn from(val: u64) -> ModInt<T> {
            ModInt::new_unchecked((val % T::modulo() as u64) as u32)
        }
    }

    impl<T: Modulo> From<i64> for ModInt<T> {
        fn from(val: i64) -> ModInt<T> {
            let m = T::modulo() as i64;
            ModInt::new((val % m + m) as u32)
        }
    }

    #[allow(dead_code)]
    impl<T> ModInt<T> {
        pub fn new_unchecked(d: u32) -> Self {
            ModInt(d, PhantomData)
        }
        pub fn zero() -> Self {
            ModInt::new_unchecked(0)
        }
        pub fn one() -> Self {
            ModInt::new_unchecked(1)
        }
        pub fn is_zero(&self) -> bool {
            self.0 == 0
        }
    }

    #[allow(dead_code)]
    impl<T: Modulo> ModInt<T> {
        pub fn new(d: u32) -> Self {
            ModInt::new_unchecked(d % T::modulo())
        }
        pub fn pow(&self, mut n: u64) -> Self {
            let mut t = Self::one();
            let mut s = *self;
            while n > 0 {
                if n & 1 == 1 {
                    t *= s;
                }
                s *= s;
                n >>= 1;
            }
            t
        }
        pub fn inv(&self) -> Self {
            assert!(self.0 != 0);
            self.pow(T::modulo() as u64 - 2)
        }
    }
}
// ---------- end ModInt ----------
// ---------- begin Precalc ----------
mod precalc {
    use super::modint::*;
    #[allow(dead_code)]
    pub struct Precalc<T> {
        inv: Vec<ModInt<T>>,
        fact: Vec<ModInt<T>>,
        ifact: Vec<ModInt<T>>,
    }
    #[allow(dead_code)]
    impl<T: Modulo> Precalc<T> {
        pub fn new(n: usize) -> Precalc<T> {
            let mut inv = vec![ModInt::one(); n + 1];
            let mut fact = vec![ModInt::one(); n + 1];
            let mut ifact = vec![ModInt::one(); n + 1];
            for i in 2..(n + 1) {
                fact[i] = fact[i - 1] * ModInt::new_unchecked(i as u32);
            }
            ifact[n] = fact[n].inv();
            if n > 0 {
                inv[n] = ifact[n] * fact[n - 1];
            }
            for i in (1..n).rev() {
                ifact[i] = ifact[i + 1] * ModInt::new_unchecked((i + 1) as u32);
                inv[i] = ifact[i] * fact[i - 1];
            }
            Precalc {
                inv: inv,
                fact: fact,
                ifact: ifact,
            }
        }
        pub fn inv(&self, n: usize) -> ModInt<T> {
            assert!(n > 0);
            self.inv[n]
        }
        pub fn fact(&self, n: usize) -> ModInt<T> {
            self.fact[n]
        }
        pub fn ifact(&self, n: usize) -> ModInt<T> {
            self.ifact[n]
        }
        pub fn perm(&self, n: usize, k: usize) -> ModInt<T> {
            if k > n {
                return ModInt::zero();
            }
            self.fact[n] * self.ifact[n - k]
        }
        pub fn comb(&self, n: usize, k: usize) -> ModInt<T> {
            if k > n {
                return ModInt::zero();
            }
            self.fact[n] * self.ifact[k] * self.ifact[n - k]
        }
    }
}
// ---------- end Precalc ----------

use modint::*;
type M = ModInt<Mod>;
// ---------- begin SegmentTree Point update Range query ----------
mod segment_tree {
    pub struct PURQ<T, F> {
        size: usize,
        data: Vec<T>,
        e: T,
        op: F,
    }
    #[allow(dead_code)]
    impl<T, F> PURQ<T, F>
    where
        T: Clone,
        F: Fn(&T, &T) -> T,
    {
        pub fn new(size: usize, e: T, op: F) -> PURQ<T, F> {
            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, $t)).collect::<Vec<_>>()
    };
    ($iter:expr, chars) => {
        read_value!($iter, String).chars().collect::<Vec<char>>()
    };
    ($iter:expr, bytes) => {
        read_value!($iter, String).bytes().collect::<Vec<u8>>()
    };
    ($iter:expr, usize1) => {
        read_value!($iter, usize) - 1
    };
    ($iter:expr, $t:ty) => {
        $iter.next().unwrap().parse::<$t>().expect("Parse error")
    };
}
// ---------- end input macro ----------

use std::io::Write;
use std::collections::*;

type Map<K, V> = BTreeMap<K, V>;
type Set<T> = BTreeSet<T>;
type Deque<T> = VecDeque<T>;

fn run() {
    input! {
        n: usize,
        p: [(i64, i64); n],
    }
    let mut x = p.iter().map(|p| p.0).collect::<Vec<_>>();
    x.sort();
    x.dedup();
    let mut p = p;
    p.sort_by_key(|p| (p.1, p.0));
    // 個数、sum x, sum x^2
    type T = (M, M, M);
    let f = |a: &T, b: &T| {
        (a.0 + b.0, a.1 + b.1, a.2 + b.2)
    };
    let mut left = segment_tree::PURQ::new(x.len(), (M::zero(), M::zero(), M::zero()), f);
    let mut right = segment_tree::PURQ::new(x.len(), (M::zero(), M::zero(), M::zero()), f);
    let mut ans = M::zero();
    for (a, b) in p {
        let pos = x.binary_search(&a).unwrap();
        let (p, q, r) = left.find(0, pos);
        let v = M::from(a + b);
        ans += r - q * v * M::new(2) + p * v.pow(2);
        let (p, q, r) = left.find(pos, pos + 1);
        left.update(pos, (p + M::one(), q + v, r + v * v));
        let (p, q, r) = right.find(pos, x.len());
        let v = M::from(b - a);
        ans += r - q * v * M::new(2) + p * v.pow(2);
        let (p, q, r) = right.find(pos, pos + 1);
        right.update(pos, (p + M::one(), q + v, r + v * v));
    }
    println!("{}", ans);
}

fn main() {
    run();
}

yukicoder

結果

テストケース

コンパイルメッセージ

ソースコード