結果

問題 No.1200 お菓子配り-3
ユーザー akakimidori
提出日時 2021-05-19 13:39:36
言語 Rust
(1.83.0 + proconio)
結果
AC  
実行時間 78 ms / 4,000 ms
コード長 5,218 bytes
コンパイル時間 14,846 ms
コンパイル使用メモリ 390,268 KB
実行使用メモリ 6,820 KB
最終ジャッジ日時 2024-10-09 17:45:25
合計ジャッジ時間 16,421 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge3
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 2
other AC * 31
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 #
プレゼンテーションモードにする

// ---------- begin enumerate prime ----------
fn enumerate_prime<F>(n: usize, mut f: F)
where
    F: FnMut(usize),
{
    assert!(1 <= n && n <= 5 * 10usize.pow(8));
    let batch = (n as f64).sqrt().ceil() as usize;
    let mut is_prime = vec![true; batch + 1];
    for i in (2..).take_while(|p| p * p <= batch) {
        if is_prime[i] {
            let mut j = i * i;
            while let Some(p) = is_prime.get_mut(j) {
                *p = false;
                j += i;
            }
        }
    }
    let mut prime = vec![];
    for (i, p) in is_prime.iter().enumerate().skip(2) {
        if *p && i <= n {
            f(i);
            prime.push(i);
        }
    }
    let mut l = batch + 1;
    while l <= n {
        let r = std::cmp::min(l + batch, n + 1);
        is_prime.clear();
        is_prime.resize(r - l, true);
        for &p in prime.iter() {
            let mut j = (l + p - 1) / p * p - l;
            while let Some(is_prime) = is_prime.get_mut(j) {
                *is_prime = false;
                j += p;
            }
        }
        for (i, _) in is_prime.iter().enumerate().filter(|p| *p.1) {
            f(i + l);
        }
        l += batch;
    }
}
// ---------- end enumerate prime ----------
// ---------- begin Exact Division ----------
// reference: https://min-25.hatenablog.com/entry/2017/08/20/171214
pub struct ExactDivision {
    a: u64,
    b: u64,
}
impl ExactDivision {
    pub fn new(d: u64) -> Self {
        assert!(d > 0);
        let mut m = d;
        for _ in 0..5 {
            m *= 2 - d * m;
        }
        Self {
            a: !0 / d,
            b: m,
        }
    }
    pub fn division(&self, val: u64) -> Option<u64> {
        let res = val * self.b;
        if res <= self.a {
            Some(res)
        } else {
            None
        }
    }
}
// ---------- end Exact Division ----------
// ---------- 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! {
        t: usize,
        ask: [(u64, u64); t],
    }
    let m = 10f64.powi(9).sqrt().ceil() as usize;
    let mut exact = vec![];
    enumerate_prime(m, |p| {
        if p > 2 {
            exact.push((p as u64, ExactDivision::new(p as u64)));
        }
    });
    let divisor = |mut n: u64| -> Vec<u64> {
        let k = n.trailing_zeros();
        n >>= k;
        let mut d = (0..=k).map(|k| 2u64.pow(k)).collect::<Vec<_>>();
        for &(p, ref e) in exact.iter() {
            if p * p > n {
                break;
            }
            let mut c = 0;
            while let Some(v) = e.division(n) {
                n = v;
                c += 1;
            }
            let len = d.len();
            let mut m = 1;
            for _ in 1..=c {
                m *= p;
                for i in 0..len {
                    let v = d[i] * m;
                    d.push(v);
                }
            }
        }
        if n > 1 {
            for i in 0..d.len() {
                let v = d[i] * n;
                d.push(v);
            }
        }
        d
    };
    let out = std::io::stdout();
    let mut out = std::io::BufWriter::new(out.lock());
    for (x, y) in ask {
        let mut ans = 0;
        for d in divisor(x + y) {
            if d == 1 {
                continue;
            }
            let sum = (x + y) / d;
            if sum <= 1 {
                continue;
            }
            let a = d - 1;
            if a == 1 {
                if x == y {
                    ans += sum - 1;
                }
            } else if x > sum && y > sum {
                let b = (x - sum) / (a - 1);
                let c = (y - sum) / (a - 1);
                if a * b + c == x && a * c + b == y {
                    ans += 1;
                }
            }
        }
        writeln!(out, "{}", ans).ok();
    }
}
fn main() {
    run();
}
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