#493002 (Rust) No.1073 無限すごろく

• 問題: No.1073 無限すごろく
• ユーザー: くれちー
• 提出日時: 2020-06-05 22:45:44
• 言語: Rust (1.77.0 + proconio)
• 結果: AC
• 実行時間: 1 ms / 2,000 ms
• コード長: 9,376 bytes
• コンパイル時間: 12,301 ms
• コンパイル使用メモリ: 400,084 KB
• 実行使用メモリ: 6,944 KB
• 最終ジャッジ日時: 2024-05-09 22:26:39
• 合計ジャッジ時間: 13,594 ms
• ジャッジサーバーID （参考情報）: judge4 / judge3

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	1 ms; 6,812 KB
testcase_01	AC	1 ms; 6,816 KB
testcase_02	AC	1 ms; 6,944 KB
testcase_03	AC	1 ms; 6,944 KB
testcase_04	AC	1 ms; 6,940 KB
testcase_05	AC	1 ms; 6,944 KB
testcase_06	AC	1 ms; 6,944 KB
testcase_07	AC	1 ms; 6,940 KB
testcase_08	AC	1 ms; 6,944 KB
testcase_09	AC	1 ms; 6,940 KB
testcase_10	AC	1 ms; 6,940 KB
testcase_11	AC	1 ms; 6,944 KB
testcase_12	AC	1 ms; 6,944 KB
testcase_13	AC	1 ms; 6,940 KB
testcase_14	AC	1 ms; 6,944 KB
testcase_15	AC	1 ms; 6,944 KB
testcase_16	AC	1 ms; 6,940 KB
testcase_17	AC	1 ms; 6,940 KB
testcase_18	AC	1 ms; 6,940 KB
testcase_19	AC	1 ms; 6,944 KB
testcase_20	AC	1 ms; 6,940 KB
testcase_21	AC	1 ms; 6,940 KB
testcase_22	AC	1 ms; 6,940 KB
testcase_23	AC	1 ms; 6,940 KB
testcase_24	AC	1 ms; 6,940 KB
testcase_25	AC	1 ms; 6,940 KB
testcase_26	AC	1 ms; 6,944 KB
testcase_27	AC	1 ms; 6,940 KB
testcase_28	AC	1 ms; 6,940 KB
testcase_29	AC	1 ms; 6,944 KB
testcase_30	AC	1 ms; 6,944 KB
testcase_31	AC	1 ms; 6,944 KB
testcase_32	AC	1 ms; 6,940 KB

ソースコード

// The main code is at the very bottom.

#[allow(unused_imports)]
use {
  lib::byte::ByteChar,
  std::cell::{Cell, RefCell},
  std::cmp::{
    self,
    Ordering::{self, *},
    Reverse,
  },
  std::collections::*,
  std::convert::identity,
  std::fmt::{self, Debug, Display, Formatter},
  std::io::prelude::*,
  std::iter::{self, FromIterator},
  std::marker::PhantomData,
  std::mem,
  std::num::Wrapping,
  std::ops::{Range, RangeFrom, RangeInclusive, RangeTo, RangeToInclusive},
  std::process,
  std::rc::Rc,
  std::thread,
  std::time::{Duration, Instant},
  std::{char, f32, f64, i128, i16, i32, i64, i8, isize, str, u128, u16, u32, u64, u8, usize},
};

#[allow(unused_imports)]
#[macro_use]
pub mod lib {
  pub mod byte {
    pub use self::byte_char::*;

    mod byte_char {
      use std::error::Error;
      use std::fmt::{self, Debug, Display, Formatter};
      use std::str::FromStr;

      #[derive(Clone, Copy, Default, PartialEq, Eq, PartialOrd, Ord, Hash)]
      #[repr(transparent)]
      pub struct ByteChar(pub u8);

      impl Debug for ByteChar {
        fn fmt(&self, f: &mut Formatter) -> fmt::Result {
          write!(f, "b'{}'", self.0 as char)
        }
      }

      impl Display for ByteChar {
        fn fmt(&self, f: &mut Formatter) -> fmt::Result {
          write!(f, "{}", self.0 as char)
        }
      }

      impl FromStr for ByteChar {
        type Err = ParseByteCharError;

        fn from_str(s: &str) -> Result<ByteChar, ParseByteCharError> {
          match s.as_bytes().len() {
            1 => Ok(ByteChar(s.as_bytes()[0])),
            0 => Err(ParseByteCharErrorKind::EmptyStr.into()),
            _ => Err(ParseByteCharErrorKind::TooManyBytes.into()),
          }
        }
      }

      #[derive(Clone, Copy, PartialEq, Eq, Hash, Debug)]
      pub struct ParseByteCharError {
        kind: ParseByteCharErrorKind,
      }

      impl Display for ParseByteCharError {
        fn fmt(&self, f: &mut Formatter) -> fmt::Result {
          f.write_str(match self.kind {
            ParseByteCharErrorKind::EmptyStr => "empty string",
            ParseByteCharErrorKind::TooManyBytes => "too many bytes",
          })
        }
      }

      impl Error for ParseByteCharError {}

      #[derive(Clone, Copy, PartialEq, Eq, Hash, Debug)]
      enum ParseByteCharErrorKind {
        EmptyStr,
        TooManyBytes,
      }

      impl From<ParseByteCharErrorKind> for ParseByteCharError {
        fn from(kind: ParseByteCharErrorKind) -> ParseByteCharError {
          ParseByteCharError { kind }
        }
      }
    }
  }

  pub mod io {
    pub use self::scanner::*;

    mod scanner {
      use std::io::{self, BufRead};
      use std::iter;
      use std::str::FromStr;

      #[derive(Debug)]
      pub struct Scanner<R> {
        reader: R,
        buf: String,
        pos: usize,
      }

      impl<R: BufRead> Scanner<R> {
        pub fn new(reader: R) -> Self {
          Scanner {
            reader,
            buf: String::new(),
            pos: 0,
          }
        }

        pub fn next(&mut self) -> io::Result<&str> {
          let start = loop {
            match self.rest().find(|c| c != ' ') {
              Some(i) => break i,
              None => self.fill_buf()?,
            }
          };
          self.pos += start;
          let len = self.rest().find(' ').unwrap_or(self.rest().len());
          let s = &self.buf[self.pos..][..len]; // self.rest()[..len]
          self.pos += len;
          Ok(s)
        }

        pub fn parse_next<T>(&mut self) -> io::Result<Result<T, T::Err>>
        where
          T: FromStr,
        {
          Ok(self.next()?.parse())
        }

        pub fn parse_next_n<T>(&mut self, n: usize) -> io::Result<Result<Vec<T>, T::Err>>
        where
          T: FromStr,
        {
          iter::repeat_with(|| self.parse_next()).take(n).collect()
        }

        pub fn map_next_bytes<T, F>(&mut self, mut f: F) -> io::Result<Vec<T>>
        where
          F: FnMut(u8) -> T,
        {
          Ok(self.next()?.bytes().map(&mut f).collect())
        }

        pub fn map_next_bytes_n<T, F>(&mut self, n: usize, mut f: F) -> io::Result<Vec<Vec<T>>>
        where
          F: FnMut(u8) -> T,
        {
          iter::repeat_with(|| self.map_next_bytes(&mut f))
            .take(n)
            .collect()
        }

        fn rest(&self) -> &str {
          &self.buf[self.pos..]
        }

        fn fill_buf(&mut self) -> io::Result<()> {
          self.buf.clear();
          self.pos = 0;
          let read = self.reader.read_line(&mut self.buf)?;
          if read == 0 {
            return Err(io::ErrorKind::UnexpectedEof.into());
          }
          if *self.buf.as_bytes().last().unwrap() == b'\n' {
            self.buf.pop();
          }
          Ok(())
        }
      }
    }
  }
}

#[allow(unused_macros)]
macro_rules! eprint {
  ($($arg:tt)*) => {
    if cfg!(debug_assertions) {
      std::eprint!($($arg)*)
    }
  };
}
#[allow(unused_macros)]
macro_rules! eprintln {
  ($($arg:tt)*) => {
    if cfg!(debug_assertions) {
      std::eprintln!($($arg)*)
    }
  };
}
#[allow(unused_macros)]
macro_rules! dbg {
  ($($arg:tt)*) => {
    if cfg!(debug_assertions) {
      std::dbg!($($arg)*)
    } else {
      ($($arg)*)
    }
  };
}

const CUSTOM_STACK_SIZE_MIB: Option<usize> = Some(128);
const INTERACTIVE: bool = false;

fn main() -> std::io::Result<()> {
  match CUSTOM_STACK_SIZE_MIB {
    Some(stack_size_mib) => std::thread::Builder::new()
      .name("run_solver".to_owned())
      .stack_size(stack_size_mib * 1024 * 1024)
      .spawn(run_solver)?
      .join()
      .unwrap(),
    None => run_solver(),
  }
}

fn run_solver() -> std::io::Result<()> {
  let stdin = std::io::stdin();
  let reader = stdin.lock();
  let stdout = std::io::stdout();
  let writer = stdout.lock();
  macro_rules! with_wrapper {
    ($($wrapper:expr)?) => {{
      let mut writer = $($wrapper)?(writer);
      solve(reader, &mut writer)?;
      writer.flush()
    }};
  }
  if cfg!(debug_assertions) {
    with_wrapper!()
  } else if INTERACTIVE {
    with_wrapper!(std::io::LineWriter::new)
  } else {
    with_wrapper!(std::io::BufWriter::new)
  }
}

fn solve<R, W>(reader: R, mut writer: W) -> std::io::Result<()>
where
  R: BufRead,
  W: Write,
{
  let mut _scanner = lib::io::Scanner::new(reader);
  #[allow(unused_macros)]
  macro_rules! scan {
    ($T:ty) => {
      _scanner.parse_next::<$T>()?.unwrap()
    };
    ($($T:ty),+) => {
      ($(scan!($T)),+)
    };
    ($T:ty; $n:expr) => {
      _scanner.parse_next_n::<$T>($n)?.unwrap()
    };
    ($($T:ty),+; $n:expr) => {
      iter::repeat_with(|| -> std::io::Result<_> { Ok(($(scan!($T)),+)) })
        .take($n)
        .collect::<std::io::Result<Vec<_>>>()?
    };
  }
  #[allow(unused_macros)]
  macro_rules! scan_bytes_map {
    ($f:expr) => {
      _scanner.map_next_bytes($f)?
    };
    ($f:expr; $n:expr) => {
      _scanner.map_next_bytes_n($n, $f)?
    };
  }
  #[allow(unused_macros)]
  macro_rules! print {
    ($($arg:tt)*) => {
      write!(writer, $($arg)*)?
    };
  }
  #[allow(unused_macros)]
  macro_rules! println {
    ($($arg:tt)*) => {
      writeln!(writer, $($arg)*)?
    };
  }
  #[allow(unused_macros)]
  macro_rules! answer {
    ($($arg:tt)*) => {{
      println!($($arg)*);
      return Ok(());
    }};
  }
  {
    const MOD: u64 = 1_000_000_007;

    fn pow<T: Copy>(mut mul: impl FnMut(T, T) -> T, one: T, mut x: T, mut n: u64) -> T {
      let mut acc = one;
      while n > 0 {
        if n % 2 == 1 {
          acc = mul(acc, x);
        }
        x = mul(x, x);
        n /= 2;
      }
      acc
    }

    fn mod_inv(x: u64) -> Option<u64> {
      let mut a = MOD;
      let mut b = x;
      let mut s = 0;
      let mut t = 1;
      let mut swapped = false;
      while b != 0 {
        let q = a / b;
        a -= q * b;
        s += q * t;
        mem::swap(&mut a, &mut b);
        mem::swap(&mut s, &mut t);
        swapped = !swapped;
      }
      if a == 1 {
        Some(if swapped { s } else { MOD - s })
      } else {
        None
      }
    }

    fn mod_pow(x: u64, n: u64) -> u64 {
      pow(|x, y| x * y % MOD, 1, x, n)
    }

    fn mat_mul(x: [[u64; 6]; 6], y: [[u64; 6]; 6]) -> [[u64; 6]; 6] {
      let mut a = [[0; 6]; 6];
      for i in 0..6 {
        for k in 0..6 {
          for j in 0..6 {
            a[i][j] += x[i][k] * y[k][j];
            a[i][j] %= MOD;
          }
        }
      }
      a
    }

    fn mat_pow(x: [[u64; 6]; 6], n: u64) -> [[u64; 6]; 6] {
      const E: [[u64; 6]; 6] = [
        [1, 0, 0, 0, 0, 0],
        [0, 1, 0, 0, 0, 0],
        [0, 0, 1, 0, 0, 0],
        [0, 0, 0, 1, 0, 0],
        [0, 0, 0, 0, 1, 0],
        [0, 0, 0, 0, 0, 1],
      ];
      pow(mat_mul, E, x, n)
    }

    let n = scan!(u64);

    const C: u64 = 166_666_668;

    const COEF: [[u64; 6]; 6] = [
      [C, C, C, C, C, C],
      [1, 0, 0, 0, 0, 0],
      [0, 1, 0, 0, 0, 0],
      [0, 0, 1, 0, 0, 0],
      [0, 0, 0, 1, 0, 0],
      [0, 0, 0, 0, 1, 0],
    ];

    let mut init = [0; 6];
    for i in 0..6 {
      init[i as usize] = mod_pow(7, 6 - i - 1) * mod_inv(mod_pow(6, 6 - i)).unwrap() % MOD;
    }
    let coef = mat_pow(COEF, n - 1);
    let mut ans = 0;
    for i in 0..6 {
      ans += coef[5][i] * init[i];
      ans %= MOD;
    }
    println!("{}", ans);
  }
  #[allow(unreachable_code)]
  Ok(())
}