#684025 (Rust) No.1629 Sorting Integers (SUM of M)

• 問題: No.1629 Sorting Integers (SUM of M)
• ユーザー: Moss_Local
• 提出日時: 2021-07-30 20:43:34
• 言語: Rust (1.77.0 + proconio)
• 結果: RE
• 実行時間: -
• コード長: 15,717 bytes
• コンパイル時間: 14,380 ms
• コンパイル使用メモリ: 378,716 KB
• 実行使用メモリ: 5,376 KB
• 最終ジャッジ日時: 2024-09-15 22:36:20
• 合計ジャッジ時間: 15,943 ms
• ジャッジサーバーID （参考情報）: judge1 / judge3

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	2 ms; 5,248 KB
testcase_01	AC	2 ms; 5,248 KB
testcase_02	AC	2 ms; 5,376 KB
testcase_03	AC	2 ms; 5,376 KB
testcase_04	AC	18 ms; 5,376 KB
testcase_05	AC	5 ms; 5,376 KB
testcase_06	AC	7 ms; 5,376 KB
testcase_07	RE	-
testcase_08	AC	19 ms; 5,376 KB
testcase_09	RE	-
testcase_10	AC	20 ms; 5,376 KB
testcase_11	AC	13 ms; 5,376 KB
testcase_12	AC	21 ms; 5,376 KB
testcase_13	RE	-
testcase_14	AC	15 ms; 5,376 KB
testcase_15	RE	-
testcase_16	RE	-
testcase_17	RE	-

コンパイルメッセージ

warning: unnecessary parentheses around type
   --> src/main.rs:117:15
    |
117 | fn readi() -> (i64) {
    |               ^   ^
    |
    = note: `#[warn(unused_parens)]` on by default
help: remove these parentheses
    |
117 - fn readi() -> (i64) {
117 + fn readi() -> i64 {
    |

warning: unnecessary parentheses around assigned value
   --> src/main.rs:326:19
    |
326 |         self.0 *= (rhs.0 % MOD);
    |                   ^           ^
    |
help: remove these parentheses
    |
326 -         self.0 *= (rhs.0 % MOD);
326 +         self.0 *= rhs.0 % MOD;
    |

warning: unnecessary parentheses around function argument
   --> src/main.rs:647:18
    |
647 |         res += M((i as i64 + 1)) * ten * num;
    |                  ^            ^
    |
help: remove these parentheses
    |
647 -         res += M((i as i64 + 1)) * ten * num;
647 +         res += M(i as i64 + 1) * ten * num;
    |

warning: unused variable: `a2`
   --> src/main.rs:503:14
    |
503 |         let (a2, e2) = mod_fact(k, p, fact);
    |              ^^ help: if this is intentional, prefix it with an underscore: `_a2`
    |
    = note: `#[warn(unused_variables)]` on by default

warning: unused variable: `a2`
   --> src/main.rs:551:18
    |
551 |             let (a2, e2) = mod_fact(k, p, &self.f_table);
    |                  ^^ help: if this is intentional, prefix it with an underscore: `_a2`

warning: value assigned to `x` is never read
   --> src/main.rs:636:21
    |
636 |             let mut x = 0;
    |                     ^
    |
    = help: maybe it is overwritten before being read?
    = note: `#[warn(unused_assignments)]` on by default

warning: variable does not need to be mutable
   --> src/main.rs:621:9
    |
621 |     let mut vec: Vec<usize> = read_vec();
    |         ----^^^
    |         |
    |         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::collections::*;
use std::convert::*;
use std::convert::{From, Into};
use std::fmt::Debug;
use std::fs::File;
use std::io::prelude::*;
use std::io::*;
use std::marker::Copy;
use std::mem::*;
use std::ops::Bound::*;
use std::ops::{Add, Mul, Neg, Sub};
use std::str;
use std::vec;
use std::{cmp, process::Output};
use std::{cmp::Ordering, env::consts::DLL_PREFIX};
use std::{cmp::Ordering::*, f32::consts::PI};
const INF: i64 = 1223372036854775807;
const UINF: usize = INF as usize;
const FINF: f64 = 122337203685.0;
const INF128: i128 = 1223372036854775807000000000000;
const LINF: i64 = 2147483647;
const MOD: i64 = 1000000007;
// const MOD: i64 = 998244353;
const T: bool = true;
const F: bool = false;

const MPI: f64 = 3.14159265358979323846264338327950288f64;
// const MOD: i64 = INF;

const UMOD: usize = MOD as usize;
use std::cmp::*;
use std::collections::*;
use std::io::stdin;
use std::io::stdout;
use std::io::Write;

macro_rules! p {
    ($x:expr) => {
        println!("{}", $x);
    };
}
macro_rules! d {
    ($x:expr) => {
        println!("{:?}", $x);
    };
}
macro_rules! dd {
    (x:expr) => {
        dbg!(x);
    };
}

macro_rules! chmin {
    ($base:expr, $($cmps:expr),+ $(,)*) => {{
        let cmp_min = min!($($cmps),+);
        if $base > cmp_min {
            $base = cmp_min;
            true
        } else {
            false
        }
    }};
}

macro_rules! chmax {
    ($base:expr, $($cmps:expr),+ $(,)*) => {{
        let cmp_max = max!($($cmps),+);
        if $base < cmp_max {
            $base = cmp_max;
            true
        } else {
            false
        }
    }};
}

macro_rules! min {
    ($a:expr $(,)*) => {{
        $a
    }};
    ($a:expr, $b:expr $(,)*) => {{
        std::cmp::min($a, $b)
    }};
    ($a:expr, $($rest:expr),+ $(,)*) => {{
        std::cmp::min($a, min!($($rest),+))
    }};
}

macro_rules! max {
    ($a:expr $(,)*) => {{
        $a
    }};
    ($a:expr, $b:expr $(,)*) => {{
        std::cmp::max($a, $b)
    }};
    ($a:expr, $($rest:expr),+ $(,)*) => {{
        std::cmp::max($a, max!($($rest),+))
    }};
}

// use str::Chars;

// 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_vec2<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(),
    )
}

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(),
    )
}

#[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(),
    )
}

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(),
    )
}

#[allow(dead_code)]
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 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(),
    )
}

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(),
    )
}

macro_rules! M {
    (a :expr ) => {
        M::new({ a })
    };
}
#[derive(Copy, Clone)]
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;
        }
    }
}
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;
        }
    }
}
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;
        }
    }
}
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
}
#[allow(dead_code)]
pub fn mod_inverse(a: usize, m: usize) -> usize {
    let (_, x, _) = extgcd(a as i64, m as i64);
    ((m as i64 + x) as usize % m) % m
}
#[allow(dead_code)]
pub fn fact_table(len: usize, m: usize) -> Vec<usize> {
    let mut res = vec![1; len + 1];
    for i in 1..len + 1 {
        res[i] = (i as usize * res[i - 1]) % m;
    }
    res
}
#[allow(dead_code)]
/// Factorial and Inverse factorial table
pub fn fact_inv_table(size: usize, m: usize) -> (Vec<usize>, Vec<usize>) {
    let mut fact = vec![1; size];
    let mut fact_inv = vec![1; size];
    for i in 2..size {
        fact[i] = fact[i - 1] * i as usize % m;
        fact_inv[i] = m - ((m / i as usize) * fact_inv[(m % i as usize) as usize] % m);
    }
    for i in 1..size {
        fact_inv[i] = fact_inv[i - 1] * fact_inv[i] % m;
    }
    (fact, fact_inv)
}
#[allow(dead_code)]
/// (a mod p, e when n! = a p\^e)
pub fn mod_fact(n: usize, p: usize, fact: &[usize]) -> (usize, usize) {
    if n == 0 {
        (1, 0)
    } else {
        let (a, b) = mod_fact(n / p, p, fact);
        let pow = b + n / p;
        if n / p % 2 != 0 {
            (a * (p - fact[(n % p) as usize]) % p, pow)
        } else {
            (a * fact[(n % p) as usize] % p, pow)
        }
    }
}
#[allow(dead_code)]
/// C(n, k) % p
pub fn mcom(n: usize, k: usize, fact: &[usize]) -> usize {
    let p = MOD as usize;
    if k == 0 {
        return 1;
    }
    if n < k {
        0
    } else {
        let (a1, e1) = mod_fact(n, p, fact);
        let (a2, e2) = mod_fact(k, p, fact);
        let (a3, e3) = mod_fact(n - k, p, fact);
        if e1 > e2 + e3 {
            0
        } else {
            a1 * mod_inverse(a2 * a3 % p, p) % p
        }
    }
}

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

pub fn hcom(n: usize, k: usize, fact: &[usize]) -> usize {
    return mcom(n + k - 1, k, fact);
}

pub struct Combination {
    m: usize,
    f_table: 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],
        }
    }
    pub fn build(&mut self) {
        let size = self.f_table.len();
        self.f_table = fact_table(size, self.m);
    }
    fn fact_table(len: usize, m: usize) -> Vec<usize> {
        let mut res = vec![1; len + 1];
        for i in 1..len + 1 {
            res[i] = (i as usize * res[i - 1]) % m;
        }
        res
    }

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

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

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

fn solve() {
    let n: usize = read();
    let mut vec: Vec<usize> = read_vec();
    let mut ten = M(0);
    for i in 0..n {
        ten += M(10).pow(i);
    }
    let mut c: Combination = Combination::new(MOD as usize, 101010);
    c.build();
    let mut res = M(0);
    for i in 0..9 {
        let mut num = M(1);
        num *= c.p(n - 1, n - 1);
        if vec[i] == 0 {
            continue;
        }
        for j in 0..9 {
            let mut x = 0;
            if i == j {
                x = vec[j] - 1;
            } else {
                x = vec[j];
            }

            // d!((i, num.0));
            num /= c.p(x, x);
        }

        res += M((i as i64 + 1)) * ten * num;
    }
    println!("{:?}", res.0);
    return;
}

fn main() {
    solve();
}