結果

問題 No.2529 Treasure Hunter
ユーザー Moss_Local
提出日時 2023-11-03 23:18:06
言語 Rust
(1.83.0 + proconio)
結果
AC  
実行時間 47 ms / 2,000 ms
コード長 14,754 bytes
コンパイル時間 19,911 ms
コンパイル使用メモリ 389,152 KB
実行使用メモリ 15,968 KB
最終ジャッジ日時 2024-09-25 21:27:35
合計ジャッジ時間 15,380 ms
ジャッジサーバーID
(参考情報)
judge2 / judge1
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 1
other AC * 22
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: unnecessary parentheses around assigned value
   --> src/main.rs:326:19
    |
326 |         self.0 *= (rhs.0 % MOD);
    |                   ^           ^
    |
    = note: `#[warn(unused_parens)]` on by default
help: remove these parentheses
    |
326 -         self.0 *= (rhs.0 % MOD);
326 +         self.0 *= rhs.0 % MOD;
    |

warning: unused variable: `a2`
   --> src/main.rs:483:18
    |
483 |             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:488:21
    |
488 |                 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:508:18
    |
508 |             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:509:18
    |
509 |             let (a3, e3) = self.mod_fact(n - k, p);
    |                  ^^ help: if this is intentional, prefix it with an underscore: `_a3`

warning: unused variable: `i`
   --> src/main.rs:586:9
    |
586 |     for i in 0..n {
    |         ^ help: if this is intentional, prefix it with an underscore: `_i`

ソースコード

diff #
プレゼンテーションモードにする

// -*- coding:utf-8-unix -*-
// #![feature(map_first_last)]
#![allow(dead_code)]
#![allow(unused_imports)]
#![allow(unused_macros)]
// 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 MOD9: i64 = 998244353;
const MOD: i64 = MOD9;
// const MOD: i64 = MOD2;
const UMOD: usize = MOD as usize;
const M_PI: f64 = 3.14159265358979323846;
// use proconio::input;
// 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) => {
eprintln!("{:?}", $x);
};
}
macro_rules! yn {
($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 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(),
)
}
fn readimat(h: usize, w: usize) -> Vec<Vec<i64>> {
let mut mat = vec![vec![0; w]; h];
for i in 0..h {
let mut str = String::new();
let _ = stdin().read_line(&mut str).unwrap();
let mut iter = str.split_whitespace();
for j in 0..w {
mat[i][j] = iter.next().unwrap().parse::<i64>().unwrap();
}
}
mat
}
fn readcmat(h: usize, w: usize) -> Vec<Vec<char>> {
let mut mat = vec![vec!['.'; w]; h];
for i in 0..h {
let mut str = String::new();
let _ = stdin().read_line(&mut str).unwrap();
let mut iter = str.chars();
for j in 0..w {
mat[i][j] = iter.next().unwrap();
}
}
mat
}
fn readiiiii() -> (i64, 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(),
iter.next().unwrap().parse::<i64>().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_part(comb: &mut Combination) {
let (m, n) = readuu();
let mut dp = vec![vec![M(0); (3) as usize]; (n + 1) as usize];
dp[0][0] = M(1);
for i in 1..=n {
dp[i][0] = dp[i][0] + dp[i - 1][0] * M(1);
dp[i][0] = dp[i][0] + dp[i - 1][1] * M(1);
dp[i][0] = dp[i][0] + dp[i - 1][2] * M(1);
dp[i][1] = dp[i][1] + dp[i - 1][0] * M(m as i64);
dp[i][1] = dp[i][1] + dp[i - 1][1] * M(m as i64 - 1);
dp[i][1] = dp[i][1] + dp[i - 1][2] * M(m as i64 - 2);
if m >= 3 {
dp[i][2] = dp[i][2] + dp[i - 1][0] * (M(comb.c(m, 2) as i64) - M(m as i64));
}
if m >= 4 {
dp[i][2] =
dp[i][2] + dp[i - 1][1] * (M(comb.c(m, 2) as i64) - M(m as i64) - M(m as i64 - 3));
dp[i][2] = dp[i][2]
+ dp[i - 1][2]
* (M(comb.c(m, 2) as i64) - M(m as i64) - M(m as i64 - 3) * M(2) + M(1));
}
}
// d!(dp);
let res = dp[n][0] + dp[n][1] + dp[n][2];
p!(res);
return;
}
fn solve() {
let n: usize = read();
let mut c: Combination = Combination::new(MOD as usize, 201010);
c.build();
for i in 0..n {
solve_part(&mut c);
}
return;
}
הההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההה
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
0