#620598 (Rust) No.1410 A lot of Bit Operations

提出ソース

結果

問題	No.1410 A lot of Bit Operations
ユーザー	akakimidori
提出日時	2021-02-20 04:12:41
言語	Rust (1.77.0)
結果	AC
実行時間	1 ms / 2,000 ms
コード長	8,492 bytes
コンパイル時間	5,657 ms
コンパイル使用メモリ	168,788 KB
実行使用メモリ	4,348 KB
最終ジャッジ日時	2023-10-17 08:16:20
合計ジャッジ時間	7,345 ms
ジャッジサーバーID （参考情報）	judge15 / judge13

このコードへのチャレンジ
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テストケース

テストケース表示

入力	結果	実行時間実行使用メモリ
testcase_00	AC	1 ms 4,348 KB
testcase_01	AC	0 ms 4,348 KB
testcase_02	AC	0 ms 4,348 KB
testcase_03	AC	1 ms 4,348 KB
testcase_04	AC	1 ms 4,348 KB
testcase_05	AC	0 ms 4,348 KB
testcase_06	AC	1 ms 4,348 KB
testcase_07	AC	1 ms 4,348 KB
testcase_08	AC	1 ms 4,348 KB
testcase_09	AC	1 ms 4,348 KB
testcase_10	AC	1 ms 4,348 KB
testcase_11	AC	1 ms 4,348 KB
testcase_12	AC	1 ms 4,348 KB
testcase_13	AC	1 ms 4,348 KB
testcase_14	AC	1 ms 4,348 KB
testcase_15	AC	1 ms 4,348 KB
testcase_16	AC	1 ms 4,348 KB
testcase_17	AC	1 ms 4,348 KB
testcase_18	AC	1 ms 4,348 KB
testcase_19	AC	1 ms 4,348 KB
testcase_20	AC	1 ms 4,348 KB
testcase_21	AC	1 ms 4,348 KB
testcase_22	AC	1 ms 4,348 KB
testcase_23	AC	1 ms 4,348 KB
testcase_24	AC	1 ms 4,348 KB
testcase_25	AC	1 ms 4,348 KB
testcase_26	AC	1 ms 4,348 KB
testcase_27	AC	1 ms 4,348 KB
testcase_28	AC	1 ms 4,348 KB
testcase_29	AC	1 ms 4,348 KB
testcase_30	AC	0 ms 4,348 KB
testcase_31	AC	1 ms 4,348 KB
testcase_32	AC	1 ms 4,348 KB
testcase_33	AC	1 ms 4,348 KB
testcase_34	AC	1 ms 4,348 KB
testcase_35	AC	1 ms 4,348 KB
testcase_36	AC	1 ms 4,348 KB
testcase_37	AC	1 ms 4,348 KB
testcase_38	AC	1 ms 4,348 KB
testcase_39	AC	1 ms 4,348 KB
testcase_40	AC	1 ms 4,348 KB
testcase_41	AC	1 ms 4,348 KB
testcase_42	AC	1 ms 4,348 KB
testcase_43	AC	1 ms 4,348 KB
testcase_44	AC	1 ms 4,348 KB
testcase_45	AC	1 ms 4,348 KB

権限があれば一括ダウンロードができます

ソースコード

raw source code

// ---------- 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 = 2;
    #[derive(Clone)]
    pub struct SquareMatrix<T: SemiRing> {
        buf: [[T; SIZE]; SIZE],
    }
    impl<T: SemiRing> SquareMatrix<T> {
        pub fn zero() -> Self {
            let z = T::zero();
            SquareMatrix {
                buf: [[z; SIZE]; SIZE],
            }
        }
        pub fn identity() -> Self {
            let mut m = Self::zero();
            for i in 0..SIZE {
                m.buf[i][i] = T::one();
            }
            m
        }
        pub fn set_at(&mut self, i: usize, j: usize, v: T) {
            self.buf[i][j] = v;
        }
        pub fn get_at(&self, i: usize, j: usize) -> T {
            self.buf[i][j]
        }
        pub fn matmul(&self, rhs: &Self) -> Self {
            let mut res = Self::zero();
            for (x, a) in res.buf.iter_mut().zip(self.buf.iter()) {
                for (a, b) in a.iter().zip(rhs.buf.iter()) {
                    for (x, b) in x.iter_mut().zip(b.iter()) {
                        *x = *x + *a * *b;
                    }
                }
            }
            res
        }
        pub fn matadd(&self, rhs: &Self) -> Self {
            let mut c = Self::zero();
            for (c, (a, b)) in c.buf.iter_mut().zip(self.buf.iter().zip(rhs.buf.iter())) {
                for (c, (a, b)) in c.iter_mut().zip(a.iter().zip(b.iter())) {
                    *c = *a + *b;
                }
            }
            c
        }
        pub fn matpow(&self, mut n: usize) -> Self {
            let mut t = Self::identity();
            let mut s = self.clone();
            while n > 0 {
                if n & 1 == 1 {
                    t = t.matmul(&s);
                }
                s = s.matmul(&s);
                n >>= 1;
            }
            t
        }
    }
}
// ---------- end Matrix ----------
// ---------- 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 T
    where
        T: 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> std::fmt::Debug 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)
        }
    }
}
// ---------- end ModInt ----------

use modint::*;
type M = ModInt<Mod>;

use matrix::*;
type Mat = SquareMatrix<M>;

impl SemiRing for M {
    fn zero() -> Self {
        M::zero()
    }
    fn one() -> Self {
        M::one()
    }
}

fn read() -> (usize, Vec<u8>) {
    let mut s = String::new();
    use std::io::Read;
    std::io::stdin().read_to_string(&mut s).unwrap();
    let mut it = s.trim().split_whitespace();
    let n: usize = it.next().unwrap().parse().unwrap();
    (n, it.next().unwrap().bytes().collect())
}

fn main() {
    let (n, s) = read();
    assert!(n <= 10usize.pow(18));
    assert!(s.len() == 8 && s.iter().all(|c| *c == b'-' || *c == b'o'));
    if n == 0 {
        println!("{}", s.iter().filter(|c| **c == b'o').count());
        return;
    }
    let mut ans = M::zero();
    for (i, _) in s.iter().enumerate().filter(|p| *p.1 == b'o') {
        let mut cnt = [0; 2];
        for k in 0..4 {
            cnt[(i >> k) & 1] += 1;
        }
        let c0 = M::new(cnt[0]);
        let c1 = M::new(cnt[1]);
        let mut mat = Mat::zero();
        mat.set_at(0, 0, M::new(8));
        mat.set_at(0, 1, c0 - c1);
        mat.set_at(1, 1, M::new(4));
        let mat = mat.matpow(n - 1);
        ans += c0 * (mat.get_at(0, 0) + mat.get_at(1, 0))
            + c0 * (mat.get_at(0, 1) + mat.get_at(1, 1));
        let mut mat = Mat::zero();
        mat.set_at(0, 0, M::new(8));
        mat.set_at(0, 1, c1 - c0);
        mat.set_at(1, 1, M::new(4));
        let mat = mat.matpow(n - 1);
        ans += c1 * (mat.get_at(0, 0) + mat.get_at(1, 0))
            + c1 * (mat.get_at(0, 1) + mat.get_at(1, 1));
    }
    println!("{}", ans);
}

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結果

テストケース

ソースコード