結果

問題 No.1498 Factorization from -1 to 1
ユーザー akakimidoriakakimidori
提出日時 2021-05-04 00:08:45
言語 Rust
(1.77.0 + proconio)
結果
AC  
実行時間 73 ms / 3,000 ms
コード長 3,954 bytes
コンパイル時間 13,815 ms
コンパイル使用メモリ 405,000 KB
実行使用メモリ 11,520 KB
最終ジャッジ日時 2024-07-23 08:55:29
合計ジャッジ時間 15,049 ms
ジャッジサーバーID
(参考情報)
judge5 / judge2
このコードへのチャレンジ
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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 1 ms
6,812 KB
testcase_01 AC 2 ms
6,812 KB
testcase_02 AC 19 ms
9,216 KB
testcase_03 AC 40 ms
11,520 KB
testcase_04 AC 67 ms
11,392 KB
testcase_05 AC 67 ms
11,520 KB
testcase_06 AC 67 ms
11,392 KB
testcase_07 AC 67 ms
11,520 KB
testcase_08 AC 73 ms
11,392 KB
testcase_09 AC 69 ms
11,392 KB
testcase_10 AC 3 ms
6,940 KB
testcase_11 AC 3 ms
6,944 KB
testcase_12 AC 3 ms
6,940 KB
testcase_13 AC 3 ms
6,944 KB
testcase_14 AC 3 ms
6,944 KB
testcase_15 AC 1 ms
6,944 KB
testcase_16 AC 2 ms
6,944 KB
testcase_17 AC 19 ms
9,344 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
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 variable: `i`
  --> src/main.rs:67:13
   |
67 |         for i in 1..=c {
   |             ^ help: if this is intentional, prefix it with an underscore: `_i`
   |
   = note: `#[warn(unused_variables)]` on by default

warning: variable does not need to be mutable
  --> src/main.rs:60:12
   |
60 | fn divisor(mut n: u64) -> Vec<u64> {
   |            ----^
   |            |
   |            help: remove this `mut`
   |
   = note: `#[warn(unused_mut)]` on by default

warning: function `gcd` is never used
 --> src/main.rs:1:4
  |
1 | fn gcd(mut a: u64, mut b: u64) -> u64 {
  |    ^^^
  |
  = note: `#[warn(dead_code)]` on by default

warning: function `pow_mod` is never used
  --> src/main.rs:10:4
   |
10 | fn pow_mod(r: u64, mut n: u64, m: u32) -> u64 {
   |    ^^^^^^^

warning: function `factorize` is never used
  --> src/main.rs:28:4
   |
28 | fn factorize(mut n: u64) -> Vec<(u64, u32)> {
   |    ^^^^^^^^^

warning: function `divisor` is never used
  --> src/main.rs:60:4
   |
60 | fn divisor(mut n: u64) -> Vec<u64> {
   |    ^^^^^^^

warning: function `is_prime` is never used
  --> src/main.rs:79:4
   |
79 | fn is_prime(n: u64) -> bool {
   |    ^^^^^^^^

ソースコード

diff #

fn gcd(mut a: u64, mut b: u64) -> u64 {
    while b > 0 {
        let r = a % b;
        a = b;
        b = r;
    }
    a
}

fn pow_mod(r: u64, mut n: u64, m: u32) -> u64 {
    assert!(m > 0);
    if m == 1 {
        return 0;
    }
    let m = m as u64;
    let mut t = 1;
    let mut s = r % m;
    while n > 0 {
        if n & 1 == 1 {
            t = t * s % m;
        }
        s = s * s % m;
        n >>= 1;
    }
    t
}

fn factorize(mut n: u64) -> Vec<(u64, u32)> {
    let mut res = vec![];
    for &p in [2, 3].iter() {
        let mut c = 0;
        while n % p == 0 {
            c += 1;
            n /= p;
        }
        if c > 0 {
            res.push((p, c));
        }
    }
    let mut k = 5;
    let mut add = 2;
    while k * k <= n {
        let mut c = 0;
        while n % k == 0 {
            n /= k;
            c += 1;
        }
        if c > 0 {
            res.push((k, c));
        }
        k += add;
        add ^= 6;
    }
    if n > 1 {
        res.push((n, 1));
    }
    res
}

fn divisor(mut n: u64) -> Vec<u64> {
    let f = factorize(n);
    let mut res = Vec::with_capacity(f.iter().fold(1, |s, p| s * (p.1 + 1)) as usize);
    res.push(1);
    for (p, c) in f {
        let len = res.len();
        let mut mul = 1;
        for i in 1..=c {
            mul *= p;
            for j in 0..len {
                let v = res[j] * mul;
                res.push(v);
            }
        }
        res.sort();
    }
    res
}

fn is_prime(n: u64) -> bool {
    n > 1 && (2u64..).take_while(|p| p * p <= n).all(|p| n % p != 0)
}

// ---------- begin input macro ----------
// reference: https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8
macro_rules! input {
    (source = $s:expr, $($r:tt)*) => {
        let mut iter = $s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
    ($($r:tt)*) => {
        let 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)*) => {
        let $var = read_value!($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, bytes) => {
        read_value!($iter, String).bytes().collect::<Vec<u8>>()
    };
    ($iter:expr, usize1) => {
        read_value!($iter, usize) - 1
    };
    ($iter:expr, $t:ty) => {
        $iter.next().unwrap().parse::<$t>().expect("Parse error")
    };
}
// ---------- end input macro ----------

use std::io::Write;

fn run() {
    input! {
        q: usize,
        ask: [usize; q],
    }
    let n = *ask.iter().max().unwrap();
    let mut ans = vec![vec![]; n + 1];
    let mut val = (0..=n).map(|p| p * p + 1).collect::<Vec<_>>();
    for i in 1..=n {
        let p = val[i];
        if p > 1 {
            for s in [i, p - i].iter() {
                let mut j = *s;
                while j <= n {
                    while val[j] % p == 0 {
                        ans[j].push(p);
                        val[j] /= p;
                    }
                    j += p;
                }
            }
        }
    }
    let out = std::io::stdout();
    let mut out = std::io::BufWriter::new(out.lock());
    for x in ask {
        let mut s = String::new();
        ans[x].sort();
        for p in ans[x].iter() {
            s.push_str(&format!("{} ", *p));
        }
        s.pop();
        writeln!(out, "{}", s).ok();
    }
}

fn main() {
    run();
}
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