結果

問題 No.906 Y字グラフ
ユーザー akakimidoriakakimidori
提出日時 2019-10-11 21:43:47
言語 Rust
(1.83.0 + proconio)
結果
AC  
実行時間 1 ms / 2,000 ms
コード長 6,249 bytes
コンパイル時間 11,435 ms
コンパイル使用メモリ 383,972 KB
実行使用メモリ 6,820 KB
最終ジャッジ日時 2024-11-25 07:07:44
合計ジャッジ時間 12,516 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge1
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 4
other AC * 28
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: unused import: `std::io::Read`
   --> src/main.rs:220:5
    |
220 | use std::io::Read;
    |     ^^^^^^^^^^^^^
    |
    = note: `#[warn(unused_imports)]` on by default

ソースコード

diff # 

// ---------- begin ModInt ----------
const MOD: u32 = 1_000_000_007;

#[derive(Clone, Copy)]
struct ModInt(u32);

impl std::ops::Add for ModInt {
    type Output = ModInt;
    fn add(self, rhs: ModInt) -> Self::Output {
        let mut d = self.0 + rhs.0;
        if d >= MOD {
            d -= MOD;
        }
        ModInt(d)
    }
}

impl std::ops::AddAssign for ModInt {
    fn add_assign(&mut self, rhs: ModInt) {
        *self = *self + rhs;
    }
}

impl std::ops::Sub for ModInt {
    type Output = ModInt;
    fn sub(self, rhs: ModInt) -> Self::Output {
        let mut d = self.0 + MOD - rhs.0;
        if d >= MOD {
            d -= MOD;
        }
        ModInt(d)
    }
}

impl std::ops::SubAssign for ModInt {
    fn sub_assign(&mut self, rhs: ModInt) {
        *self = *self - rhs;
    }
}

impl std::ops::Mul for ModInt {
    type Output = ModInt;
    fn mul(self, rhs: ModInt) -> Self::Output {
        ModInt((self.0 as u64 * rhs.0 as u64 % MOD as u64) as u32)
    }
}

impl std::ops::MulAssign for ModInt {
    fn mul_assign(&mut self, rhs: ModInt) {
        *self = *self * rhs;
    }
}

impl std::ops::Neg for ModInt {
    type Output = ModInt;
    fn neg(self) -> Self::Output {
        ModInt(if self.0 == 0 {0} else {MOD - self.0})
    }
}

/* 
impl std::fmt::Display for ModInt {
    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
        write!(f, "{}", self.0)
    }
}
*/

#[allow(dead_code)]
impl ModInt {
    pub fn new(n: u32) -> ModInt {
        ModInt(n % MOD)
    }
    pub fn zero() -> ModInt {
        ModInt(0)
    }
    pub fn one() -> ModInt {
        ModInt(1)
    }
    pub fn pow(self, mut n: u32) -> ModInt {
        let mut t = ModInt::one();
        let mut s = self;
        while n > 0 {
            if n & 1 == 1 {
                t *= s;
            }
            s *= s;
            n >>= 1;
        }
        t
    }
    pub fn inv(self) -> ModInt {
        self.pow(MOD - 2)
    }
    pub fn comb(n: u32, k: u32) -> ModInt {
        if k > n {
            return ModInt::zero();
        }
        let k = std::cmp::min(k, n - k);
        let mut nu = ModInt::one();
        let mut de = ModInt::one();
        for i in 0..k {
            nu *= ModInt(n - i);
            de *= ModInt(i + 1);
        }
        nu * de.inv()
    }
}

#[allow(dead_code)]
struct Precalc {
    inv: Vec<ModInt>,
    fact: Vec<ModInt>,
    ifact: Vec<ModInt>,
}

#[allow(dead_code)]
impl Precalc {
    pub fn new(n: usize) -> Precalc {
        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) {
            inv[i] = -inv[MOD as usize % i] * ModInt(MOD / i as u32);
            fact[i] = fact[i - 1] * ModInt(i as u32);
            ifact[i] = ifact[i - 1] * inv[i];
        }
        Precalc {
            inv: inv,
            fact: fact,
            ifact: ifact,
        }
    }
    pub fn inv(&self, n: usize) -> ModInt {
        self.inv[n]
    }
    pub fn fact(&self, n: usize) -> ModInt {
        self.fact[n]
    }
    pub fn ifact(&self, n: usize) -> ModInt {
        self.ifact[n]
    }
    pub fn comb(&self, n: usize, k: usize) -> ModInt {
        if k > n {
            return ModInt::zero();
        }
        self.fact[n] * self.ifact[k] * self.ifact[n - k]
    }
}
// ---------- end ModInt ----------
// ---------- begin Matrix ----------
#[allow(dead_code)]
mod matrix {
    use std::ops::{Add, Mul};
    pub trait SemiRing: Add<Output = Self> + Mul<Output = Self> + Copy {
        fn zero() -> Self;
        fn one() -> Self;
    }
    pub const SIZE: usize = 6;
    #[derive(Clone)]
    pub struct SquareMatrix<T: SemiRing> {
        a: [[T; SIZE]; SIZE],
    }
    impl<T: SemiRing> SquareMatrix<T> {
        pub fn zero() -> Self {
            let z = T::zero();
            SquareMatrix {
                a: [[z; SIZE]; SIZE],
            }
        }
        pub fn identity() -> Self {
            let mut m = Self::zero();
            for i in 0..SIZE {
                m.a[i][i] = T::one();
            }
            m
        }
        pub fn set_at(&mut self, i: usize, j: usize, v: T) {
            self.a[i][j] = v;
        }
        pub fn get_at(&self, i: usize, j: usize) -> T {
            self.a[i][j]
        }
        pub fn matmul(l: &Self, r: &Self) -> Self {
            let mut x = Self::zero();
            for i in 0..SIZE {
                for k in 0..SIZE {
                    let a = l.a[i][k];
                    for (c, b) in x.a[i].iter_mut().zip(r.a[k].iter()) {
                        *c = *c + a * *b;
                    }
                }
            }
            x
        }
        pub fn matadd(l: &Self, r: &Self) -> Self {
            let mut c = Self::zero();
            for i in 0..SIZE {
                for j in 0..SIZE {
                    c.a[i][j] = l.a[i][j] + r.a[i][j];
                }
            }
            c
        }
    }
    impl<T: SemiRing> Add for SquareMatrix<T> {
        type Output = Self;
        fn add(self, rhs: Self) -> Self {
            Self::matadd(&self, &rhs)
        }
    }
    impl<T: SemiRing> Mul for SquareMatrix<T> {
        type Output = Self;
        fn mul(self, rhs: Self) -> Self {
            Self::matmul(&self, &rhs)
        }
    }
}
// ---------- end Matrix ----------
use std::io::Read;
use matrix::*;
impl SemiRing for ModInt {
    fn zero() -> Self {
        ModInt(0)
    }
    fn one() -> Self {
        ModInt(1)
    }
}

fn run() {
    let mut s = String::new();
    std::io::stdin().read_line(&mut s).unwrap();
    let n: u64 = s.trim().parse().unwrap();
    let m = 6;
    let mut t = SquareMatrix::identity();
    let mut s = SquareMatrix::zero();
    for i in 1..m {
        s.set_at(i, i - 1, ModInt(1));
    }
    s.set_at(0, 0, ModInt(1));
    s.set_at(0, 1, ModInt(1));
    s.set_at(0, 2, ModInt(0));
    s.set_at(0, 3, -ModInt(1));
    s.set_at(0, 4, -ModInt(1));
    s.set_at(0, 5, ModInt(1));
    let mut n = n - 4;
    while n > 0 {
        if n & 1 == 1 {
            t = t * s.clone();
        }
        s = s.clone() * s;
        n >>= 1;
    }
    let ans = t.get_at(0, 0);
    println!("{}", ans.0);
}

fn main() {
    run();
}
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