結果
| 問題 |
No.1629 Sorting Integers (SUM of M)
|
| コンテスト | |
| ユーザー |
Moss_Local
|
| 提出日時 | 2021-07-30 20:43:49 |
| 言語 | Rust (1.83.0 + proconio) |
| 結果 |
AC
|
| 実行時間 | 45 ms / 2,000 ms |
| コード長 | 15,717 bytes |
| コンパイル時間 | 12,765 ms |
| コンパイル使用メモリ | 380,460 KB |
| 実行使用メモリ | 5,376 KB |
| 最終ジャッジ日時 | 2024-09-15 22:36:54 |
| 合計ジャッジ時間 | 14,036 ms |
|
ジャッジサーバーID (参考情報) |
judge1 / judge6 |
(要ログイン)
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 4 |
| other | AC * 14 |
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, 201010);
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();
}
Moss_Local