結果

問題 No.117 組み合わせの数
ユーザー reiywreiyw
提出日時 2018-10-31 05:58:23
言語 Rust
(1.77.0 + proconio)
結果
AC  
実行時間 62 ms / 5,000 ms
コード長 4,037 bytes
コンパイル時間 12,659 ms
コンパイル使用メモリ 402,472 KB
実行使用メモリ 40,064 KB
最終ジャッジ日時 2024-11-19 11:18:27
合計ジャッジ時間 13,829 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge2
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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 62 ms
40,064 KB
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ソースコード

diff # 

use std::io::{BufWriter, stdout, Write};macro_rules! input {
    (source = $s:expr, $($r:tt)*) => {
        let mut iter = $s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
    ($($r:tt)*) => {
        #[allow(unused_mut)]
        let mut s = {
            use std::io::Read;
            let mut s = String::new();
            std::io::stdin().read_to_string(&mut s).unwrap();
            s
        };
        let mut iter = s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
}

macro_rules! input_inner {
    ($iter:expr) => {};
    ($iter:expr, ) => {};

    ($iter:expr, $var:ident : $t:tt $($r:tt)*) => {
        #[allow(non_snake_case)]
        #[allow(unused_mut)]
        let mut $var = read_value!($iter, $t);
        input_inner!{$iter $($r)*}
    };
}

macro_rules! read_value {
    ($iter:expr, ( $($t:tt),* )) => {
        ( $(read_value!($iter, $t)),* )
    };

    ($iter:expr, [ $t:tt ; $len:expr ]) => {
        (0..$len).map(|_| read_value!($iter, $t)).collect::<Vec<_>>()
    };

    ($iter:expr, chars) => {
        read_value!($iter, String).chars().collect::<Vec<char>>()
    };

    ($iter:expr, usize1) => {
        read_value!($iter, usize) - 1
    };

    ($iter:expr, $t:ty) => {
        $iter.next().unwrap().parse::<$t>().expect("Parse error")
    };
}

#[allow(unused_macros)]
macro_rules! debug {
    ($($a:expr),*) => {
        eprintln!(concat!($(stringify!($a), " = {:?}, "),*), $($a),*);
    }
}

pub fn gcd_ext(a: u64, b: u64) -> (u64, i64, i64) {
    let (mut x, mut x_old) = (0i64, 1i64);
    let (mut y, mut y_old) = (1i64, 0i64);
    let (mut r, mut r_old) = (b as i64, a as i64);
    let mut q: i64;
    let mut t: i64;
    while r != 0 {
        q = r_old / r;
        t = r;
        r = r_old - q * r;
        r_old = t;
        t = x;
        x = x_old - q * x;
        x_old = t;
        t = y;
        y = y_old - q * y;
        y_old = t;
    }
    (r_old as u64, x_old, y_old)
}

pub fn modular_multiplicative_inverse(a: u64, m: u64) -> u64 {
    let (_, mut x, _) = gcd_ext(a, m);
    x %= m as i64;
    if x < 0 {
        x += m as i64;
    }
    x as u64
}

pub fn factorial_table_mod(max: u32, _mod: u64) -> Vec<u64> {
    let mut table = vec![0; (max + 1) as usize];
    table[0] = 1;
    for i in 0..(max as usize) {
        table[i + 1] = table[i] * ((i + 1) as u64) % _mod;
    }
    table
}


pub fn inv_factorial_table_mod(max: u32, max_fac: u64, _mod: u64) -> Vec<u64> {
    let mut table = vec![0; (max + 1) as usize];
    table[max as usize] = modular_multiplicative_inverse(max_fac, _mod);
    for i in (0..(max as usize)).rev() {
        table[i] = table[i + 1] * ((i + 1) as u64) % _mod;
    }
    table
}

fn main() {
    input! {
        t: usize,
        queries: [String; t],
    }
    let _mod = 10u64.pow(9) + 7;
    let n_max = 10u32.pow(6) * 2;
    let fac = factorial_table_mod(n_max, _mod);
    let fac_inv = inv_factorial_table_mod(n_max, fac[n_max as usize], _mod);

    let out = stdout();
    let mut out = BufWriter::new(out.lock());

    for s in queries {
        let v: Vec<_> = s.split(|c| c == '(' || c == ')' || c == ',').collect();
        let n: usize = v[1].parse().unwrap();
        let k: usize = v[2].parse().unwrap();
        if v[0] == "C" && n >= k {
            let a = fac[n];
            let b = fac_inv[k];
            let c = fac_inv[n - k];
            let bc = (b * c) % _mod;
            writeln!(out, "{}", (a * bc) % _mod).unwrap();
        } else if v[0] == "P" && n >= k {
            let a = fac[n];
            let b = fac_inv[n - k];
            writeln!(out, "{}", (a * b) % _mod).unwrap();
        } else if v[0] == "H" && n > 0 {
            let a = fac[n + k - 1];
            let b = fac_inv[k];
            let c = fac_inv[n - 1];
            let bc = (b * c) % _mod;
            writeln!(out, "{}", (a * bc) % _mod).unwrap();
        } else if v[0] == "H" && n == 0 && k == 0 {
            writeln!(out, "1").unwrap();
        } else {
            writeln!(out, "0").unwrap();
        }
    }
}
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