#769996 (Rust) No.1975 Zigzag Sequence

提出ソース

結果

問題	No.1975 Zigzag Sequence
ユーザー	akakimidori
提出日時	2022-06-10 23:21:58
言語	Rust (1.77.0)
結果	AC
実行時間	74 ms / 2,000 ms
コード長	10,444 bytes
コンパイル時間	6,437 ms
コンパイル使用メモリ	179,632 KB
実行使用メモリ	6,944 KB
最終ジャッジ日時	2023-10-21 05:44:39
合計ジャッジ時間	9,261 ms
ジャッジサーバーID （参考情報）	judge13 / judge10

このコードへのチャレンジ（β）

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 4,348 KB
testcase_01	AC	1 ms 4,348 KB
testcase_02	AC	1 ms 4,348 KB
testcase_03	AC	8 ms 4,348 KB
testcase_04	AC	3 ms 4,348 KB
testcase_05	AC	64 ms 6,736 KB
testcase_06	AC	43 ms 4,840 KB
testcase_07	AC	8 ms 4,348 KB
testcase_08	AC	39 ms 4,984 KB
testcase_09	AC	63 ms 6,232 KB
testcase_10	AC	43 ms 4,920 KB
testcase_11	AC	48 ms 5,596 KB
testcase_12	AC	11 ms 4,348 KB
testcase_13	AC	1 ms 4,348 KB
testcase_14	AC	1 ms 4,348 KB
testcase_15	AC	1 ms 4,348 KB
testcase_16	AC	1 ms 4,348 KB
testcase_17	AC	1 ms 4,348 KB
testcase_18	AC	18 ms 6,944 KB
testcase_19	AC	20 ms 6,944 KB
testcase_20	AC	43 ms 6,940 KB
testcase_21	AC	40 ms 6,940 KB
testcase_22	AC	56 ms 6,932 KB
testcase_23	AC	57 ms 6,932 KB
testcase_24	AC	62 ms 6,932 KB
testcase_25	AC	65 ms 6,932 KB
testcase_26	AC	67 ms 6,932 KB
testcase_27	AC	74 ms 6,932 KB
testcase_28	AC	62 ms 6,932 KB
testcase_29	AC	62 ms 6,932 KB
testcase_30	AC	62 ms 6,932 KB
testcase_31	AC	62 ms 6,932 KB
testcase_32	AC	25 ms 6,944 KB
testcase_33	AC	24 ms 6,944 KB
testcase_34	AC	74 ms 6,692 KB
testcase_35	AC	74 ms 6,692 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`
 --> Main.rs:1:5
  |
1 | use std::io::Write;
  |     ^^^^^^^^^^^^^^
  |
  = note: `#[warn(unused_imports)]` on by default

warning: type alias `Map` is never used
 --> Main.rs:4:6
  |
4 | type Map<K, V> = BTreeMap<K, V>;
  |      ^^^
  |
  = note: `#[warn(dead_code)]` on by default

warning: type alias `Set` is never used
 --> Main.rs:5:6
  |
5 | type Set<T> = BTreeSet<T>;
  |      ^^^

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

warning: 4 warnings emitted

ソースコード

raw source code

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,
        a: [usize; n],
    }
    let mut z = a.clone();
    z.sort();
    z.dedup();
    let mut a = a.iter().map(|a| z.binary_search(a).unwrap()).collect::<Vec<_>>();
    let mut dp = vec![(M::one(), M::one()); n];
    for _ in 0..2 {
        let mut seg = segment_tree::PURQ::new(n, M::zero(), |a, b| *a + *b);
        let mut mul = M::one();
        for (dp, &a) in dp.iter_mut().zip(a.iter()) {
            dp.0 *= seg.find(0, a);
            dp.1 *= seg.find(a + 1, z.len());
            let v = mul + seg.find(a, a + 1);
            seg.update(a, v);
            mul = mul + mul;
        }
        a.reverse();
        dp.reverse();
    }
    let ans = dp.iter().fold(M::zero(), |s, p| s + p.0 + p.1);
    println!("{}", ans);
}

fn main() {
    run();
}

// ---------- begin input macro ----------
// reference: https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8
#[macro_export]
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_export]
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_export]
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 ----------
// ---------- 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 modint ----------
use std::marker::*;
use std::ops::*;

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

pub struct ConstantModulo<const M: u32>;

impl<const M: u32> Modulo for ConstantModulo<{ M }> {
    fn modulo() -> u32 {
        M
    }
}

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

impl<T> Clone for ModInt<T> {
    fn clone(&self) -> Self {
        Self::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 v = self.0 + rhs.0;
        if v >= T::modulo() {
            v -= T::modulo();
        }
        Self::new_unchecked(v)
    }
}

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 v = self.0 - rhs.0;
        if self.0 < rhs.0 {
            v += T::modulo();
        }
        Self::new_unchecked(v)
    }
}

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;
        Self::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.is_zero() {
            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> Default for ModInt<T> {
    fn default() -> Self {
        Self::zero()
    }
}

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 mut v = ((val % T::modulo() as i64) + T::modulo() as i64) as u32;
        if v >= T::modulo() {
            v -= T::modulo();
        }
        ModInt::new_unchecked(v)
    }
}

impl<T> ModInt<T> {
    pub fn new_unchecked(n: u32) -> Self {
        ModInt(n, 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
    }
}

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.is_zero());
        self.pow(T::modulo() as u64 - 2)
    }
    pub fn fact(n: usize) -> Self {
        (1..=n).fold(Self::one(), |s, a| s * Self::from(a))
    }
    pub fn perm(n: usize, k: usize) -> Self {
        if k > n {
            return Self::zero();
        }
        ((n - k + 1)..=n).fold(Self::one(), |s, a| s * Self::from(a))
    }
    pub fn binom(n: usize, k: usize) -> Self {
        if k > n {
            return Self::zero();
        }
        let k = k.min(n - k);
        let mut nu = Self::one();
        let mut de = Self::one();
        for i in 0..k {
            nu *= Self::from(n - i);
            de *= Self::from(i + 1);
        }
        nu * de.inv()
    }
}
// ---------- end modint ----------
// ---------- begin precalc ----------
pub struct Precalc<T> {
    fact: Vec<ModInt<T>>,
    ifact: Vec<ModInt<T>>,
    inv: Vec<ModInt<T>>,
}

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 {
            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 { fact, ifact, inv }
    }
    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 binom(&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 ----------

type M = ModInt<ConstantModulo<1_000_000_007>>;

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