#881945 (Rust) No.2351 Butterfly in Summer

• 問題: No.2351 Butterfly in Summer
• ユーザー: Moss_Local
• 提出日時: 2023-06-16 22:32:39
• 言語: Rust (1.77.0 + proconio)
• 結果: AC
• 実行時間: 1 ms / 2,000 ms
• コード長: 12,799 bytes
• コンパイル時間: 13,537 ms
• コンパイル使用メモリ: 391,036 KB
• 実行使用メモリ: 6,944 KB
• 最終ジャッジ日時: 2024-06-24 15:11:10
• 合計ジャッジ時間: 14,603 ms
• ジャッジサーバーID （参考情報）: judge1 / judge2

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	1 ms; 6,812 KB
testcase_01	AC	1 ms; 6,820 KB
testcase_02	AC	1 ms; 6,944 KB
testcase_03	AC	1 ms; 6,944 KB
testcase_04	AC	1 ms; 6,944 KB
testcase_05	AC	1 ms; 6,940 KB
testcase_06	AC	1 ms; 6,944 KB
testcase_07	AC	1 ms; 6,944 KB
testcase_08	AC	1 ms; 6,944 KB
testcase_09	AC	1 ms; 6,940 KB
testcase_10	AC	1 ms; 6,944 KB
testcase_11	AC	1 ms; 6,944 KB
testcase_12	AC	1 ms; 6,940 KB
testcase_13	AC	1 ms; 6,940 KB
testcase_14	AC	1 ms; 6,944 KB
testcase_15	AC	1 ms; 6,940 KB
testcase_16	AC	1 ms; 6,940 KB
testcase_17	AC	1 ms; 6,940 KB
testcase_18	AC	1 ms; 6,944 KB
testcase_19	AC	1 ms; 6,944 KB
testcase_20	AC	1 ms; 6,940 KB
testcase_21	AC	1 ms; 6,940 KB
testcase_22	AC	1 ms; 6,940 KB
testcase_23	AC	1 ms; 6,944 KB

コンパイルメッセージ

warning: unnecessary parentheses around assigned value
   --> src/main.rs:293:19
    |
293 |         self.0 *= (rhs.0 % MOD);
    |                   ^           ^
    |
    = note: `#[warn(unused_parens)]` on by default
help: remove these parentheses
    |
293 -         self.0 *= (rhs.0 % MOD);
293 +         self.0 *= rhs.0 % MOD;
    |

warning: unused variable: `a2`
   --> src/main.rs:450:18
    |
450 |             let (a2, e2) = self.mod_fact(k, p);
    |                  ^^ help: if this is intentional, prefix it with an underscore: `_a2`
    |
    = note: `#[warn(unused_variables)]` on by default

warning: unused variable: `moi`
   --> src/main.rs:455:21
    |
455 |                 let moi = self.mod_inverse(a3 % p, p);
    |                     ^^^ help: if this is intentional, prefix it with an underscore: `_moi`

warning: unused variable: `a2`
   --> src/main.rs:475:18
    |
475 |             let (a2, e2) = self.mod_fact(k, p);
    |                  ^^ help: if this is intentional, prefix it with an underscore: `_a2`

warning: unused variable: `a3`
   --> src/main.rs:476:18
    |
476 |             let (a3, e3) = self.mod_fact(n - k, p);
    |                  ^^ help: if this is intentional, prefix it with an underscore: `_a3`

warning: variable does not need to be mutable
   --> src/main.rs:522:9
    |
522 |     let mut nume = M(n as i64) * M(k as i64) * M(k as i64 - 1);
    |         ----^^^^
    |         |
    |         help: remove this `mut`
    |
    = note: `#[warn(unused_mut)]` on by default

ソースコード

// -*- coding:utf-8-unix -*-
// #![feature(map_first_last)]
#![allow(dead_code)]
#![allow(unused_imports)]
#![allow(unused_macros)]
use std::arch::x86_64::_MM_FROUND_NEARBYINT;
// use core::num;
use std::cmp::*;
use std::fmt::*;
use std::hash::*;
use std::iter::FromIterator;
use std::*;
use std::{cmp, collections, fmt, io, iter, ops, str};
const INF: i64 = 1223372036854775807;
const UINF: usize = INF as usize;
const LINF: i64 = 2147483647;
const INF128: i128 = 1223372036854775807000000000000;
const MOD1: i64 = 1000000007;
const MOD2: i64 = 998244353;
const MOD: i64 = MOD2;
// const MOD: i64 = MOD2;
const UMOD: usize = MOD as usize;
const M_PI: f64 = 3.14159265358979323846;
// const MOD: i64 = INF;

use cmp::Ordering::*;
use std::collections::*;

use std::io::stdin;
use std::io::stdout;
use std::io::Write;

macro_rules! p {
    ($x:expr) => {
        //if expr
        println!("{}", $x);
    };
}

macro_rules! vp {
    // vector print separate with space
    ($x:expr) => {
        println!(
            "{}",
            $x.iter()
                .map(|x| x.to_string())
                .collect::<Vec<_>>()
                .join(" ")
        );
    };
}

macro_rules! d {
    ($x:expr) => {
        println!("{:?}", $x);
    };
}
macro_rules! yn {
    ($val:expr) => {
        if $val {
            println!("Yes");
        } else {
            println!("No");
        }
    };
}

fn main() {
    solve();
}

// use str::Chars;
#[allow(dead_code)]
fn read<T: std::str::FromStr>() -> T {
    let mut s = String::new();
    std::io::stdin().read_line(&mut s).ok();
    s.trim().parse().ok().unwrap()
}

#[allow(dead_code)]
fn readi() -> i64 {
    let mut str = String::new();
    let _ = stdin().read_line(&mut str).unwrap();
    let mut iter = str.split_whitespace();
    iter.next().unwrap().parse::<i64>().unwrap()
}

#[allow(dead_code)]
fn read_vec<T: std::str::FromStr>() -> Vec<T> {
    read::<String>()
        .split_whitespace()
        .map(|e| e.parse().ok().unwrap())
        .collect()
}
#[allow(dead_code)]
fn read_mat<T: std::str::FromStr>(n: u32) -> Vec<Vec<T>> {
    (0..n).map(|_| read_vec()).collect()
}

#[allow(dead_code)]
fn readii() -> (i64, i64) {
    let mut str = String::new();
    let _ = stdin().read_line(&mut str).unwrap();
    let mut iter = str.split_whitespace();
    (
        iter.next().unwrap().parse::<i64>().unwrap(),
        iter.next().unwrap().parse::<i64>().unwrap(),
    )
}

#[allow(dead_code)]
fn readiii() -> (i64, i64, i64) {
    let mut str = String::new();
    let _ = stdin().read_line(&mut str).unwrap();
    let mut iter = str.split_whitespace();
    (
        iter.next().unwrap().parse::<i64>().unwrap(),
        iter.next().unwrap().parse::<i64>().unwrap(),
        iter.next().unwrap().parse::<i64>().unwrap(),
    )
}
#[allow(dead_code)]
fn readuu() -> (usize, usize) {
    let mut str = String::new();
    let _ = stdin().read_line(&mut str).unwrap();
    let mut iter = str.split_whitespace();
    (
        iter.next().unwrap().parse::<usize>().unwrap(),
        iter.next().unwrap().parse::<usize>().unwrap(),
    )
}

#[allow(dead_code)]
fn readff() -> (f64, f64) {
    let mut str = String::new();
    let _ = stdin().read_line(&mut str).unwrap();
    let mut iter = str.split_whitespace();
    (
        iter.next().unwrap().parse::<f64>().unwrap(),
        iter.next().unwrap().parse::<f64>().unwrap(),
    )
}

fn readcc() -> (char, char) {
    let mut str = String::new();
    let _ = stdin().read_line(&mut str).unwrap();
    let mut iter = str.split_whitespace();
    (
        iter.next().unwrap().parse::<char>().unwrap(),
        iter.next().unwrap().parse::<char>().unwrap(),
    )
}

fn readuuu() -> (usize, usize, usize) {
    let mut str = String::new();
    let _ = stdin().read_line(&mut str).unwrap();
    let mut iter = str.split_whitespace();
    (
        iter.next().unwrap().parse::<usize>().unwrap(),
        iter.next().unwrap().parse::<usize>().unwrap(),
        iter.next().unwrap().parse::<usize>().unwrap(),
    )
}
#[allow(dead_code)]
fn readiiii() -> (i64, i64, i64, i64) {
    let mut str = String::new();
    let _ = stdin().read_line(&mut str).unwrap();
    let mut iter = str.split_whitespace();
    (
        iter.next().unwrap().parse::<i64>().unwrap(),
        iter.next().unwrap().parse::<i64>().unwrap(),
        iter.next().unwrap().parse::<i64>().unwrap(),
        iter.next().unwrap().parse::<i64>().unwrap(),
    )
}

#[allow(dead_code)]
fn readuuuu() -> (usize, usize, usize, usize) {
    let mut str = String::new();
    let _ = stdin().read_line(&mut str).unwrap();
    let mut iter = str.split_whitespace();
    (
        iter.next().unwrap().parse::<usize>().unwrap(),
        iter.next().unwrap().parse::<usize>().unwrap(),
        iter.next().unwrap().parse::<usize>().unwrap(),
        iter.next().unwrap().parse::<usize>().unwrap(),
    )
}

macro_rules! M {
    (a :expr ) => {
        M::new({ a })
    };
}
#[derive(Copy, Clone, Debug)]
pub struct M(i64);
impl M {
    fn new(x: i64) -> Self {
        M(x.rem_euclid(MOD))
    }
    fn pow(self, n: usize) -> Self {
        match n {
            0 => M::new(1),
            _ => {
                let mut a = self.pow(n >> 1);
                a *= a;
                if n & 1 == 1 {
                    a *= self;
                }
                a
            }
        }
    }
    fn inv(self) -> Self {
        self.pow((MOD - 2) as usize)
    }
}
impl std::ops::Neg for M {
    type Output = M;
    fn neg(self) -> Self::Output {
        Self::new(-self.0)
    }
}
impl std::ops::AddAssign<M> for M {
    fn add_assign(&mut self, rhs: Self) {
        self.0 += rhs.0;
        self.0 %= MOD;
    }
}
impl std::ops::AddAssign<i64> for M {
    fn add_assign(&mut self, rhs: i64) {
        *self += M::new(rhs);
    }
}
impl std::ops::AddAssign<usize> for M {
    fn add_assign(&mut self, rhs: usize) {
        *self += M::new(rhs as i64);
    }
}
impl<T> std::ops::Add<T> for M
where
    M: std::ops::AddAssign<T>,
{
    type Output = Self;
    fn add(self, other: T) -> Self {
        let mut res = self;
        res += other;
        res
    }
}
impl std::ops::SubAssign<M> for M {
    fn sub_assign(&mut self, rhs: Self) {
        self.0 -= rhs.0;
        if self.0 < 0 {
            self.0 %= MOD;
            self.0 += MOD;
        }
    }
}
impl std::ops::SubAssign<i64> for M {
    fn sub_assign(&mut self, rhs: i64) {
        *self -= M::new(rhs);
        if (*self).0 < 0 {
            self.0 %= MOD;
            self.0 += MOD;
        }
    }
}
impl std::ops::SubAssign<usize> for M {
    fn sub_assign(&mut self, rhs: usize) {
        *self -= M::new(rhs as i64);
        if (*self).0 < 0 {
            self.0 %= MOD;
            self.0 += MOD;
        }
    }
}
impl<T> std::ops::Sub<T> for M
where
    M: std::ops::SubAssign<T>,
{
    type Output = Self;
    fn sub(self, other: T) -> Self {
        let mut res = self;
        res -= other;
        res
    }
}
impl std::ops::MulAssign<M> for M {
    fn mul_assign(&mut self, rhs: Self) {
        self.0 %= MOD;

        self.0 *= (rhs.0 % MOD);
        self.0 %= MOD;
    }
}
impl std::ops::MulAssign<i64> for M {
    fn mul_assign(&mut self, rhs: i64) {
        *self *= M::new(rhs);
    }
}
impl std::ops::MulAssign<usize> for M {
    fn mul_assign(&mut self, rhs: usize) {
        *self *= M::new(rhs as i64);
    }
}
impl<T> std::ops::Mul<T> for M
where
    M: std::ops::MulAssign<T>,
{
    type Output = Self;
    fn mul(self, other: T) -> Self {
        let mut res = self;
        res *= other;
        res
    }
}
impl std::ops::DivAssign<M> for M {
    fn div_assign(&mut self, rhs: Self) {
        *self *= rhs.inv();
    }
}
impl std::ops::DivAssign<i64> for M {
    fn div_assign(&mut self, rhs: i64) {
        *self /= M::new(rhs);
    }
}
impl std::ops::DivAssign<usize> for M {
    fn div_assign(&mut self, rhs: usize) {
        *self /= M::new(rhs as i64);
    }
}
impl<T> std::ops::Div<T> for M
where
    M: std::ops::DivAssign<T>,
{
    type Output = Self;
    fn div(self, other: T) -> Self {
        let mut res = self;
        res /= other;
        res
    }
}
impl std::fmt::Display for M {
    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
        write!(f, "{}", self.0)
    }
}
impl std::ops::Deref for M {
    type Target = i64;
    fn deref(&self) -> &Self::Target {
        &self.0
    }
}
impl std::ops::DerefMut for M {
    fn deref_mut(&mut self) -> &mut Self::Target {
        &mut self.0
    }
}

#[allow(dead_code)]
pub fn gcd(a: usize, b: usize) -> usize {
    if b == 0 {
        a
    } else {
        gcd(b, a % b)
    }
}
#[allow(dead_code)]
pub fn lcm(a: usize, b: usize) -> usize {
    a / gcd(a, b) * b
}
#[allow(dead_code)]
/// (gcd, x, y)
pub fn extgcd(a: i64, b: i64) -> (i64, i64, i64) {
    if b == 0 {
        (a, 1, 0)
    } else {
        let (gcd, x, y) = extgcd(b, a % b);
        (gcd, y, x - (a / b) * y)
    }
}
#[allow(dead_code)]
/// x ^ n % m
pub fn mod_pow(x: usize, n: usize, m: usize) -> usize {
    let mut res = 1;
    let mut x = x % m;
    let mut n = n;
    while n > 0 {
        if n & 1 == 1 {
            res = (res * x) % m;
        }
        x = (x * x) % m;
        n >>= 1;
    }
    res
}

pub struct Combination {
    m: usize,
    f_table: Vec<usize>,
    moi: Vec<usize>,
}

impl Combination {
    // 0 <= size <= 10^8 is constrained.
    pub fn new(mod_num: usize, table_size: usize) -> Self {
        Self {
            m: mod_num,
            f_table: vec![0; table_size],
            moi: vec![0; 0],
        }
    }
    pub fn build(&mut self) {
        let size = self.f_table.len();
        self.f_table = self.fact_table(size, self.m);
        self.moi = self.fact_inv_table(size, self.m);
    }
    fn fact_table(&mut self, len: usize, m: usize) -> Vec<usize> {
        let mut res = vec![1; len + 1];
        for i in 2..len + 1 {
            res[i] = (res[i - 1] * i) % m;
        }
        res
    }

    fn fact_inv_table(&mut self, len: usize, m: usize) -> Vec<usize> {
        let mut res = vec![1; len + 1];
        let mut inv = vec![1; len + 1];
        //inv[i] = MOD - inv[MOD%i] * (MOD / i) % MOD
        for i in 2..len {
            inv[i] = (m - inv[m % i] * (m / i) % m) % m;
            res[i] = inv[i] * res[i - 1];
            // res[i] = self.mod_inverse(i, m) * res[i - 1];
            // res[i] = 1;
            res[i] %= m;
        }
        res
    }

    pub fn p(&mut self, n: usize, k: usize) -> i64 {
        let p = MOD as usize;
        if k == 0 {
            return 1;
        }
        if n < k {
            0
        } else {
            let (a1, e1) = self.mod_fact(n, p);
            let (a2, e2) = self.mod_fact(k, p);
            let (a3, e3) = self.mod_fact(n - k, p);
            if e1 > e2 + e3 {
                0
            } else {
                let moi = self.mod_inverse(a3 % p, p);
                (a1 * self.mod_inverse(a3 % p, p) % p) as i64
            }
        }
    }
    pub fn c(&mut self, n: usize, k: usize) -> i64 {
        let p = MOD as usize;
        if n == 0 && k == 0 {
            return 1;
        }
        if n == 0 {
            return 0;
        }
        if k == 0 {
            return 1;
        }
        if n < k {
            0
        } else {
            let (a1, e1) = self.mod_fact(n, p);
            let (a2, e2) = self.mod_fact(k, p);
            let (a3, e3) = self.mod_fact(n - k, p);
            if e1 > e2 + e3 {
                0
            } else {
                (((a1 * &self.moi[k]) % p * &self.moi[n - k]) % p) as i64
            }
        }
    }
    pub fn h(&mut self, n: usize, k: usize) -> i64 {
        return self.c(n + k - 1, k);
    }

    pub fn factorial(&mut self, n: usize) -> i64 {
        return self.p(n, n);
    }

    fn extgcd(&mut self, a: i64, b: i64) -> (i64, i64, i64) {
        if b == 0 {
            (a, 1, 0)
        } else {
            let (gcd, x, y) = extgcd(b, a % b);
            (gcd, y, x - (a / b) * y)
        }
    }
    fn mod_inverse(&mut self, a: usize, m: usize) -> usize {
        let (_, x, _) = self.extgcd(a as i64, m as i64);
        ((m as i64 + x) as usize % m) % m
    }
    fn mod_fact(&mut self, n: usize, p: usize) -> (usize, usize) {
        if n == 0 {
            (1, 0)
        } else {
            let (a, b) = self.mod_fact(n / p, p);
            let pow = b + n / p;
            if n / p % 2 != 0 {
                (a * (p - self.f_table[(n % p) as usize]) % p, pow)
            } else {
                (a * self.f_table[(n % p) as usize] % p, pow)
            }
        }
    }
}

fn solve() {
    let (n, k) = readuu();
    let denom = M::new(k as i64).pow(n);
    let mut nume = M(n as i64) * M(k as i64) * M(k as i64 - 1);
    let res = nume / denom;
    p!(res);

    return;
}