結果
問題 | No.1489 Repeat Cumulative Sum |
ユーザー |
![]() |
提出日時 | 2021-04-28 01:01:06 |
言語 | Rust (1.83.0 + proconio) |
結果 |
AC
|
実行時間 | 23 ms / 2,000 ms |
コード長 | 10,235 bytes |
コンパイル時間 | 14,457 ms |
コンパイル使用メモリ | 402,148 KB |
実行使用メモリ | 6,820 KB |
最終ジャッジ日時 | 2024-12-19 12:47:42 |
合計ジャッジ時間 | 15,980 ms |
ジャッジサーバーID (参考情報) |
judge3 / judge4 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 3 |
other | AC * 27 |
ソースコード
#![allow(unused_imports)]#![allow(non_snake_case, unused)]use std::cmp::*;use std::collections::*;use std::ops::*;// https://atcoder.jp/contests/hokudai-hitachi2019-1/submissions/10518254 よりmacro_rules! eprint {($($t:tt)*) => {{use ::std::io::Write;let _ = write!(::std::io::stderr(), $($t)*);}};}macro_rules! eprintln {() => { eprintln!(""); };($($t:tt)*) => {{use ::std::io::Write;let _ = writeln!(::std::io::stderr(), $($t)*);}};}macro_rules! dbg {($v:expr) => {{let val = $v;eprintln!("[{}:{}] {} = {:?}", file!(), line!(), stringify!($v), val);val}}}macro_rules! mat {($($e:expr),*) => { Vec::from(vec![$($e),*]) };($($e:expr,)*) => { Vec::from(vec![$($e),*]) };($e:expr; $d:expr) => { Vec::from(vec![$e; $d]) };($e:expr; $d:expr $(; $ds:expr)+) => { Vec::from(vec![mat![$e $(; $ds)*]; $d]) };}macro_rules! ok {($a:ident$([$i:expr])*.$f:ident()$(@$t:ident)*) => {$a$([$i])*.$f($($t),*)};($a:ident$([$i:expr])*.$f:ident($e:expr$(,$es:expr)*)$(@$t:ident)*) => { {let t = $e;ok!($a$([$i])*.$f($($es),*)$(@$t)*@t)} };}pub fn readln() -> String {let mut line = String::new();::std::io::stdin().read_line(&mut line).unwrap_or_else(|e| panic!("{}", e));line}macro_rules! read {($($t:tt),*; $n:expr) => {{let stdin = ::std::io::stdin();let ret = ::std::io::BufRead::lines(stdin.lock()).take($n).map(|line| {let line = line.unwrap();let mut it = line.split_whitespace();_read!(it; $($t),*)}).collect::<Vec<_>>();ret}};($($t:tt),*) => {{let line = readln();let mut it = line.split_whitespace();_read!(it; $($t),*)}};}macro_rules! _read {($it:ident; [char]) => {_read!($it; String).chars().collect::<Vec<_>>()};($it:ident; [u8]) => {Vec::from(_read!($it; String).into_bytes())};($it:ident; usize1) => {$it.next().unwrap_or_else(|| panic!("input mismatch")).parse::<usize>().unwrap_or_else(|e| panic!("{}", e)) - 1};($it:ident; [usize1]) => {$it.map(|s| s.parse::<usize>().unwrap_or_else(|e| panic!("{}", e)) - 1).collect::<Vec<_>>()};($it:ident; [$t:ty]) => {$it.map(|s| s.parse::<$t>().unwrap_or_else(|e| panic!("{}", e))).collect::<Vec<_>>()};($it:ident; $t:ty) => {$it.next().unwrap_or_else(|| panic!("input mismatch")).parse::<$t>().unwrap_or_else(|e| panic!("{}", e))};($it:ident; $($t:tt),+) => {($(_read!($it; $t)),*)};}pub fn main() {let _ = ::std::thread::Builder::new().name("run".to_string()).stack_size(32 * 1024 * 1024).spawn(run).unwrap().join();}// const MOD: usize = 998244353;// const MOD: usize = 1_000_000_007;const INF: i64 = std::i64::MAX/100;// https://yukicoder.me/submissions/585145 より// ---------- begin ModInt ----------mod modint {#[allow(dead_code)]pub struct Mod;impl ConstantModulo for Mod {const MOD: u32 = 1_000_000_007;}#[allow(dead_code)]pub struct StaticMod;static mut STATIC_MOD: u32 = 0;impl Modulo for StaticMod {fn modulo() -> u32 {unsafe { STATIC_MOD }}}#[allow(dead_code)]impl StaticMod {pub fn set_modulo(p: u32) {unsafe {STATIC_MOD = p;}}}use std::marker::*;use std::ops::*;pub trait Modulo {fn modulo() -> u32;}pub trait ConstantModulo {const MOD: u32;}impl<T> Modulo for TwhereT: ConstantModulo,{fn modulo() -> u32 {T::MOD}}pub struct ModInt<T>(pub u32, PhantomData<T>);impl<T> Clone for ModInt<T> {fn clone(&self) -> Self {ModInt::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 d = self.0 + rhs.0;if d >= T::modulo() {d -= T::modulo();}ModInt::new_unchecked(d)}}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 d = T::modulo() + self.0 - rhs.0;if d >= T::modulo() {d -= T::modulo();}ModInt::new_unchecked(d)}}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;ModInt::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.0 == 0 {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: 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 m = T::modulo() as i64;ModInt::new((val % m + m) as u32)}}#[allow(dead_code)]impl<T> ModInt<T> {pub fn new_unchecked(d: u32) -> Self {ModInt(d, 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}}#[allow(dead_code)]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.0 != 0);self.pow(T::modulo() as u64 - 2)}}#[allow(dead_code)]pub fn mod_pow(r: u64, mut n: u64, m: u64) -> u64 {let mut t = 1 % m;let mut s = r % m;while n > 0 {if n & 1 == 1 {t = t * s % m;}s = s * s % m;n >>= 1;}t}}// ---------- end ModInt ----------// ---------- begin Precalc ----------mod precalc {use super::modint::*;#[allow(dead_code)]pub struct Precalc<T> {inv: Vec<ModInt<T>>,fact: Vec<ModInt<T>>,ifact: Vec<ModInt<T>>,}#[allow(dead_code)]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 + 1) {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 {inv: inv,fact: fact,ifact: ifact,}}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 comb(&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 ----------use modint::*;type M = ModInt<Mod>;fn solve() {let (n,m) = read!(i64,i64);let a = read!([i64]);let mut ans = M::new(0);let mut c = M::new(1);for i in 2..=n {c *= M::from(m+i-2);c *= M::from(max(i-1,1)).inv();ans += M::from(a[(n-i) as usize]) * (c-M::new(1));}for i in 0..n-1 {ans += M::from(a[i as usize]);}println!("{}",ans);}fn run() {let stack_size = 104_857_600; // 100 MBlet thd = std::thread::Builder::new().stack_size(stack_size);solve();}