結果

問題 No.1411 Hundreds of Conditions Sequences
ユーザー koba-e964koba-e964
提出日時 2021-10-06 15:43:54
言語 Rust
(1.72.1)
結果
AC  
実行時間 125 ms / 2,000 ms
コード長 5,336 bytes
コンパイル時間 1,685 ms
コンパイル使用メモリ 163,052 KB
実行使用メモリ 26,188 KB
最終ジャッジ日時 2023-09-30 08:47:45
合計ジャッジ時間 10,726 ms
ジャッジサーバーID
(参考情報)
judge14 / judge12
このコードへのチャレンジ(β)

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 18 ms
9,808 KB
testcase_01 AC 17 ms
9,876 KB
testcase_02 AC 17 ms
9,840 KB
testcase_03 AC 18 ms
9,844 KB
testcase_04 AC 18 ms
9,820 KB
testcase_05 AC 18 ms
9,848 KB
testcase_06 AC 17 ms
9,844 KB
testcase_07 AC 17 ms
9,848 KB
testcase_08 AC 18 ms
9,852 KB
testcase_09 AC 18 ms
9,852 KB
testcase_10 AC 17 ms
9,860 KB
testcase_11 AC 17 ms
9,804 KB
testcase_12 AC 109 ms
24,372 KB
testcase_13 AC 90 ms
23,328 KB
testcase_14 AC 59 ms
20,416 KB
testcase_15 AC 85 ms
23,348 KB
testcase_16 AC 25 ms
13,248 KB
testcase_17 AC 85 ms
23,040 KB
testcase_18 AC 110 ms
24,472 KB
testcase_19 AC 118 ms
24,592 KB
testcase_20 AC 57 ms
20,552 KB
testcase_21 AC 122 ms
24,792 KB
testcase_22 AC 62 ms
21,140 KB
testcase_23 AC 111 ms
24,416 KB
testcase_24 AC 18 ms
9,976 KB
testcase_25 AC 110 ms
24,488 KB
testcase_26 AC 86 ms
23,112 KB
testcase_27 AC 59 ms
20,592 KB
testcase_28 AC 95 ms
23,724 KB
testcase_29 AC 30 ms
15,332 KB
testcase_30 AC 78 ms
22,540 KB
testcase_31 AC 72 ms
21,988 KB
testcase_32 AC 123 ms
24,808 KB
testcase_33 AC 123 ms
25,000 KB
testcase_34 AC 125 ms
24,760 KB
testcase_35 AC 122 ms
24,844 KB
testcase_36 AC 123 ms
24,780 KB
testcase_37 AC 123 ms
24,840 KB
testcase_38 AC 124 ms
25,036 KB
testcase_39 AC 122 ms
24,944 KB
testcase_40 AC 124 ms
24,956 KB
testcase_41 AC 122 ms
24,828 KB
testcase_42 AC 121 ms
24,756 KB
testcase_43 AC 123 ms
24,804 KB
testcase_44 AC 121 ms
24,832 KB
testcase_45 AC 124 ms
25,020 KB
testcase_46 AC 123 ms
24,940 KB
testcase_47 AC 122 ms
25,024 KB
testcase_48 AC 123 ms
24,804 KB
testcase_49 AC 122 ms
24,956 KB
testcase_50 AC 125 ms
24,836 KB
testcase_51 AC 124 ms
25,024 KB
testcase_52 AC 101 ms
16,620 KB
testcase_53 AC 103 ms
16,580 KB
testcase_54 AC 102 ms
16,568 KB
testcase_55 AC 101 ms
16,656 KB
testcase_56 AC 100 ms
16,544 KB
testcase_57 AC 101 ms
16,568 KB
testcase_58 AC 102 ms
16,500 KB
testcase_59 AC 101 ms
16,488 KB
testcase_60 AC 101 ms
16,596 KB
testcase_61 AC 102 ms
16,552 KB
testcase_62 AC 72 ms
10,600 KB
testcase_63 AC 102 ms
26,188 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

diff #

use std::cmp::*;
use std::io::{Write, BufWriter};
// https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8
macro_rules! input {
    ($($r:tt)*) => {
        let stdin = std::io::stdin();
        let mut bytes = std::io::Read::bytes(std::io::BufReader::new(stdin.lock()));
        let mut next = move || -> String{
            bytes.by_ref().map(|r|r.unwrap() as char)
                .skip_while(|c|c.is_whitespace())
                .take_while(|c|!c.is_whitespace())
                .collect()
        };
        input_inner!{next, $($r)*}
    };
}

macro_rules! input_inner {
    ($next:expr) => {};
    ($next:expr,) => {};
    ($next:expr, $var:ident : $t:tt $($r:tt)*) => {
        let $var = read_value!($next, $t);
        input_inner!{$next $($r)*}
    };
}

macro_rules! read_value {
    ($next:expr, [ $t:tt ; $len:expr ]) => {
        (0..$len).map(|_| read_value!($next, $t)).collect::<Vec<_>>()
    };
    ($next:expr, $t:ty) => ($next().parse::<$t>().expect("Parse error"));
}

/// 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>;

fn main() {
    let out = std::io::stdout();
    let mut out = BufWriter::new(out.lock());
    macro_rules! puts {($($format:tt)*) => (let _ = write!(out,$($format)*););}
    input! {
        n: usize,
        a: [usize; n],
    }
    const W: usize = 1_000_010;
    let mut fac = vec![0; W];
    let mut top = vec![[0; 2]; W];
    for i in 2..W {
        if fac[i] != 0 { continue; }
        for j in 1..(W - 1) / i + 1 {
            fac[i * j] = i;
        }
    }
    let mut prod = MInt::new(1);
    for &a in &a {
        prod *= a as i64;
        let mut v = a;
        while v > 1 {
            let p = fac[v];
            let mut e = 0;
            while v % p == 0 {
                v /= p;
                e += 1;
            }
            top[p][0] = max(top[p][0], e);
            top[p].sort();
        }
    }
    let mut ex = MInt::new(1);
    for i in 2..W {
        if fac[i] == i {
            ex *= MInt::new(i as i64).pow(top[i][1]);
        }
    }
    for &a in &a {
        let mut all = ex;
        let mut v = a;
        while v > 1 {
            let p = fac[v];
            let mut e = 0;
            while v % p == 0 {
                v /= p;
                e += 1;
            }
            if top[p][1] == e {
                all *= MInt::new(p as i64).pow(MOD - 1 - top[p][1] + top[p][0]);
            }
        }
        puts!("{}\n", prod * MInt::new(a as i64).inv() - all);
    }
}
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