結果

問題 No.389 ロジックパズルの組み合わせ
ユーザー koba-e964koba-e964
提出日時 2021-10-09 11:48:58
言語 Rust
(1.77.0)
結果
AC  
実行時間 23 ms / 2,000 ms
コード長 3,962 bytes
コンパイル時間 910 ms
コンパイル使用メモリ 152,260 KB
実行使用メモリ 18,252 KB
最終ジャッジ日時 2023-10-09 20:58:26
合計ジャッジ時間 4,821 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
(要ログイン)

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
4,376 KB
testcase_01 AC 1 ms
4,380 KB
testcase_02 AC 1 ms
4,380 KB
testcase_03 AC 1 ms
4,376 KB
testcase_04 AC 13 ms
11,980 KB
testcase_05 AC 1 ms
4,380 KB
testcase_06 AC 1 ms
4,376 KB
testcase_07 AC 1 ms
4,376 KB
testcase_08 AC 1 ms
4,380 KB
testcase_09 AC 17 ms
14,472 KB
testcase_10 AC 4 ms
4,376 KB
testcase_11 AC 18 ms
14,928 KB
testcase_12 AC 3 ms
4,380 KB
testcase_13 AC 23 ms
18,160 KB
testcase_14 AC 6 ms
4,424 KB
testcase_15 AC 5 ms
4,376 KB
testcase_16 AC 10 ms
7,524 KB
testcase_17 AC 12 ms
10,812 KB
testcase_18 AC 20 ms
14,076 KB
testcase_19 AC 1 ms
4,380 KB
testcase_20 AC 1 ms
4,380 KB
testcase_21 AC 1 ms
4,380 KB
testcase_22 AC 1 ms
4,376 KB
testcase_23 AC 1 ms
4,380 KB
testcase_24 AC 1 ms
4,380 KB
testcase_25 AC 1 ms
4,380 KB
testcase_26 AC 1 ms
4,380 KB
testcase_27 AC 1 ms
4,380 KB
testcase_28 AC 1 ms
4,380 KB
testcase_29 AC 1 ms
4,376 KB
testcase_30 AC 1 ms
4,376 KB
testcase_31 AC 1 ms
4,376 KB
testcase_32 AC 1 ms
4,376 KB
testcase_33 AC 1 ms
4,376 KB
testcase_34 AC 1 ms
4,380 KB
testcase_35 AC 1 ms
4,380 KB
testcase_36 AC 1 ms
4,376 KB
testcase_37 AC 1 ms
4,380 KB
testcase_38 AC 1 ms
4,376 KB
testcase_39 AC 1 ms
4,376 KB
testcase_40 AC 1 ms
4,380 KB
testcase_41 AC 1 ms
4,376 KB
testcase_42 AC 1 ms
4,376 KB
testcase_43 AC 1 ms
4,380 KB
testcase_44 AC 1 ms
4,376 KB
testcase_45 AC 1 ms
4,376 KB
testcase_46 AC 1 ms
4,380 KB
testcase_47 AC 1 ms
4,380 KB
testcase_48 AC 1 ms
4,380 KB
testcase_49 AC 9 ms
5,368 KB
testcase_50 AC 1 ms
4,380 KB
testcase_51 AC 1 ms
4,376 KB
testcase_52 AC 2 ms
4,376 KB
testcase_53 AC 2 ms
4,380 KB
testcase_54 AC 3 ms
4,380 KB
testcase_55 AC 1 ms
4,376 KB
testcase_56 AC 2 ms
4,380 KB
testcase_57 AC 4 ms
4,376 KB
testcase_58 AC 8 ms
4,716 KB
testcase_59 AC 6 ms
4,380 KB
testcase_60 AC 3 ms
4,376 KB
testcase_61 AC 12 ms
6,300 KB
testcase_62 AC 3 ms
4,380 KB
testcase_63 AC 8 ms
4,700 KB
testcase_64 AC 3 ms
4,376 KB
testcase_65 AC 3 ms
4,376 KB
testcase_66 AC 3 ms
4,376 KB
testcase_67 AC 3 ms
4,380 KB
testcase_68 AC 3 ms
4,380 KB
testcase_69 AC 14 ms
12,472 KB
testcase_70 AC 11 ms
9,432 KB
testcase_71 AC 7 ms
6,364 KB
testcase_72 AC 16 ms
14,796 KB
testcase_73 AC 8 ms
7,060 KB
testcase_74 AC 8 ms
6,684 KB
testcase_75 AC 8 ms
6,684 KB
testcase_76 AC 11 ms
9,460 KB
testcase_77 AC 10 ms
9,412 KB
testcase_78 AC 5 ms
4,560 KB
testcase_79 AC 7 ms
5,876 KB
testcase_80 AC 5 ms
4,380 KB
testcase_81 AC 2 ms
4,380 KB
testcase_82 AC 15 ms
14,076 KB
testcase_83 AC 9 ms
7,664 KB
testcase_84 AC 5 ms
4,756 KB
testcase_85 AC 17 ms
15,512 KB
testcase_86 AC 15 ms
14,052 KB
testcase_87 AC 2 ms
4,380 KB
testcase_88 AC 2 ms
4,376 KB
testcase_89 AC 12 ms
9,624 KB
testcase_90 AC 22 ms
18,252 KB
testcase_91 AC 22 ms
15,440 KB
testcase_92 AC 6 ms
5,016 KB
testcase_93 AC 18 ms
13,804 KB
testcase_94 AC 14 ms
11,776 KB
testcase_95 AC 16 ms
10,588 KB
testcase_96 AC 23 ms
17,844 KB
testcase_97 AC 19 ms
15,676 KB
testcase_98 AC 19 ms
15,468 KB
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`
 --> Main.rs:1:5
  |
1 | use std::io::Read;
  |     ^^^^^^^^^^^^^
  |
  = note: `#[warn(unused_imports)]` on by default

warning: 1 warning emitted

ソースコード

diff #

use std::io::Read;

#[allow(dead_code)]
fn getline() -> String {
    let mut ret = String::new();
    std::io::stdin().read_line(&mut ret).ok().unwrap();
    ret
}

/// Verified by https://atcoder.jp/contests/abc198/submissions/21774342
mod mod_int {
    use std::ops::*;
    pub trait Mod: Copy { fn m() -> i64; }
    #[derive(Copy, Clone, Hash, PartialEq, Eq, PartialOrd, Ord)]
    pub struct ModInt<M> { pub x: i64, phantom: ::std::marker::PhantomData<M> }
    impl<M: Mod> ModInt<M> {
        // x >= 0
        pub fn new(x: i64) -> Self { ModInt::new_internal(x % M::m()) }
        fn new_internal(x: i64) -> Self {
            ModInt { x: x, phantom: ::std::marker::PhantomData }
        }
        pub fn pow(self, mut e: i64) -> Self {
            debug_assert!(e >= 0);
            let mut sum = ModInt::new_internal(1);
            let mut cur = self;
            while e > 0 {
                if e % 2 != 0 { sum *= cur; }
                cur *= cur;
                e /= 2;
            }
            sum
        }
        #[allow(dead_code)]
        pub fn inv(self) -> Self { self.pow(M::m() - 2) }
    }
    impl<M: Mod, T: Into<ModInt<M>>> Add<T> for ModInt<M> {
        type Output = Self;
        fn add(self, other: T) -> Self {
            let other = other.into();
            let mut sum = self.x + other.x;
            if sum >= M::m() { sum -= M::m(); }
            ModInt::new_internal(sum)
        }
    }
    impl<M: Mod, T: Into<ModInt<M>>> Sub<T> for ModInt<M> {
        type Output = Self;
        fn sub(self, other: T) -> Self {
            let other = other.into();
            let mut sum = self.x - other.x;
            if sum < 0 { sum += M::m(); }
            ModInt::new_internal(sum)
        }
    }
    impl<M: Mod, T: Into<ModInt<M>>> Mul<T> for ModInt<M> {
        type Output = Self;
        fn mul(self, other: T) -> Self { ModInt::new(self.x * other.into().x % M::m()) }
    }
    impl<M: Mod, T: Into<ModInt<M>>> AddAssign<T> for ModInt<M> {
        fn add_assign(&mut self, other: T) { *self = *self + other; }
    }
    impl<M: Mod, T: Into<ModInt<M>>> SubAssign<T> for ModInt<M> {
        fn sub_assign(&mut self, other: T) { *self = *self - other; }
    }
    impl<M: Mod, T: Into<ModInt<M>>> MulAssign<T> for ModInt<M> {
        fn mul_assign(&mut self, other: T) { *self = *self * other; }
    }
    impl<M: Mod> Neg for ModInt<M> {
        type Output = Self;
        fn neg(self) -> Self { ModInt::new(0) - self }
    }
    impl<M> ::std::fmt::Display for ModInt<M> {
        fn fmt(&self, f: &mut ::std::fmt::Formatter) -> ::std::fmt::Result {
            self.x.fmt(f)
        }
    }
    impl<M: Mod> From<i64> for ModInt<M> {
        fn from(x: i64) -> Self { Self::new(x) }
    }
} // mod mod_int

macro_rules! define_mod {
    ($struct_name: ident, $modulo: expr) => {
        #[derive(Copy, Clone, PartialEq, Eq, PartialOrd, Ord, Hash)]
        struct $struct_name {}
        impl mod_int::Mod for $struct_name { fn m() -> i64 { $modulo } }
    }
}
const MOD: i64 = 1_000_000_007;
define_mod!(P, MOD);
type MInt = mod_int::ModInt<P>;

// Depends on MInt.rs
fn fact_init(w: usize) -> (Vec<MInt>, Vec<MInt>) {
    let mut fac = vec![MInt::new(1); w];
    let mut invfac = vec![0.into(); w];
    for i in 1..w {
        fac[i] = fac[i - 1] * i as i64;
    }
    invfac[w - 1] = fac[w - 1].inv();
    for i in (0..w - 1).rev() {
        invfac[i] = invfac[i + 1] * (i as i64 + 1);
    }
    (fac, invfac)
}

// Tags: unusual-io
fn main() {
    let n: usize = getline().trim().parse().unwrap();
    let h: Vec<usize> = getline().trim().split(" ").map(|x| x.parse().unwrap()).collect();
    if h[0] == 0 {
        println!("1");
        return;
    }
    let m = h.len();
    let mut s = m - 1;
    for i in 0..m {
        s += h[i];
    }
    if s > n {
        println!("NA");
        return;
    }
    let (fac, invfac) = fact_init(n + 1);
    println!("{}", fac[n - s + m] * invfac[m] * invfac[n - s]);
}
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