結果

問題 No.1258 コインゲーム
コンテスト
ユーザー Strorkis
提出日時 2020-10-30 18:14:55
言語 Rust
(1.83.0 + proconio)
結果
AC  
実行時間 77 ms / 2,000 ms
コード長 4,065 bytes
コンパイル時間 12,604 ms
コンパイル使用メモリ 399,188 KB
実行使用メモリ 5,376 KB
最終ジャッジ日時 2024-07-21 22:58:08
合計ジャッジ時間 18,153 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge2
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ファイルパターン 結果
other AC * 50
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

diff # 

use std::io::{self, Write};
use std::{fmt, ops, str};

macro_rules! read {
    ( $t:ty ) => {{
        let mut input = String::new();
        io::stdin().read_line(&mut input).unwrap();
        input.trim_end().parse::<$t>().ok().unwrap()
    }};
    ( $( $t:ty ),* ) => {{
        let mut input = String::new();
        io::stdin().read_line(&mut input).unwrap();
        let mut iter = input.split_whitespace();
        ( $( iter.next().unwrap().parse::<$t>().unwrap() ),* )
    }};
}

struct IoStr(Vec<char>);

impl str::FromStr for IoStr {
    type Err = ();

    fn from_str(s: &str) -> Result<Self, Self::Err> {
        Ok(IoStr(s.chars().collect()))
    }
}

impl fmt::Display for IoStr {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        write!(f, "{}", self.0.iter().collect::<String>())
    }
}

#[derive(Clone)]
struct IoVec<T>(Vec<T>);

impl<T: str::FromStr> str::FromStr for IoVec<T> {
    type Err = T::Err;

    fn from_str(s: &str) -> Result<Self, Self::Err> {
        let iter = s.split_whitespace();
        Ok(IoVec(iter.map(|x| x.parse()).collect::<Result<_, _>>()?))
    }
}

impl<T: fmt::Display> fmt::Display for IoVec<T> {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        write!(f, "{}",
            self.0.iter().map(|x| x.to_string())
                .collect::<Vec<_>>().join(" ")
        )
    }
}

impl<T> ops::Index<usize> for IoVec<T> {
    type Output = T;

    fn index(&self, i: usize) -> &Self::Output {
        self.0.get(i - 1).unwrap()
    }
}

impl<T> ops::IndexMut<usize> for IoVec<T> {
    fn index_mut(&mut self, i: usize) -> &mut Self::Output {
        self.0.get_mut(i - 1).unwrap()
    }
}

#[derive(Clone, Copy, Debug, Eq, PartialEq, Ord, PartialOrd)]
struct ModInt(i64);

impl ModInt {
    const MOD: i64 = 1_000_000_007;

    fn new(x: i64) -> ModInt {
        Self(x % Self::MOD)
    }
}

impl ops::Add for ModInt {
    type Output = Self;

    fn add(self, other: Self) -> Self {
        let x = self.0 + other.0;
        Self( if x < Self::MOD { x } else { x - Self::MOD } )
    }
}

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

impl ops::Sub for ModInt {
    type Output = Self;

    fn sub(self, other: Self) -> Self {
        if self.0 < other.0 {
            Self(self.0 + Self::MOD - other.0)
        } else {
            Self(self.0 - other.0)
        }
    }
}

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

impl ops::Mul for ModInt {
    type Output = Self;

    fn mul(self, other: Self) -> Self {
        Self::new(self.0 * other.0)
    }
}

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

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

impl std::str::FromStr for ModInt {
    type Err = std::num::ParseIntError;

    fn from_str(s: &str) -> Result<Self, Self::Err> {
        let x = s.parse()?;
        Ok(ModInt(x))
    }
}

impl From<usize> for ModInt {
    fn from(x: usize) -> Self {
        Self(x as i64)
    }
}

impl ModInt {
    fn pow(mut self, mut n: i64) -> Self {
        let mut res = Self::new(1);
        while n > 0 {
            if n & 1 > 0 {
                res *= self;
            }
            self *= self;
            n >>= 1;
        }
        res
    }
    
    fn inv(self) -> Self {
        self.pow(Self::MOD - 2)
    }
}

fn solve(writer: &mut io::BufWriter<io::StdoutLock>) {
    let (n, m, x) = read!(i64, ModInt, u8);

    let a = (ModInt(1) + m).pow(n);
    let b = (ModInt(1) - m).pow(n);
    if x == 0 {
        writeln!(writer, "{}", (a + b) * ModInt(2).inv()).ok();
    } else {
        writeln!(writer, "{}", (a - b) * ModInt(2).inv()).ok();
    }
}

fn main() {
    let stdout = io::stdout();
    let mut writer = io::BufWriter::new(stdout.lock());
    for _ in 0..read!(usize) { solve(&mut writer); }
}
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