#543120 (Rust) No.1200 お菓子配り-3

提出ソース

結果

問題	No.1200 お菓子配り-3
ユーザー	koba-e964
提出日時	2020-08-29 15:51:19
言語	Rust (1.77.0)
結果	AC
実行時間	161 ms / 4,000 ms
コード長	7,134 bytes
コンパイル時間	13,148 ms
コンパイル使用メモリ	389,124 KB
実行使用メモリ	6,944 KB
最終ジャッジ日時	2024-05-01 00:06:33
合計ジャッジ時間	15,728 ms
ジャッジサーバーID （参考情報）	judge3 / 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 6,816 KB
testcase_01	AC	1 ms 6,816 KB
testcase_02	AC	1 ms 6,816 KB
testcase_03	AC	1 ms 6,944 KB
testcase_04	AC	1 ms 6,944 KB
testcase_05	AC	1 ms 6,944 KB
testcase_06	AC	1 ms 6,940 KB
testcase_07	AC	2 ms 6,940 KB
testcase_08	AC	2 ms 6,944 KB
testcase_09	AC	2 ms 6,940 KB
testcase_10	AC	1 ms 6,940 KB
testcase_11	AC	2 ms 6,944 KB
testcase_12	AC	11 ms 6,940 KB
testcase_13	AC	12 ms 6,940 KB
testcase_14	AC	11 ms 6,940 KB
testcase_15	AC	12 ms 6,940 KB
testcase_16	AC	12 ms 6,940 KB
testcase_17	AC	39 ms 6,940 KB
testcase_18	AC	57 ms 6,944 KB
testcase_19	AC	14 ms 6,944 KB
testcase_20	AC	105 ms 6,944 KB
testcase_21	AC	108 ms 6,940 KB
testcase_22	AC	125 ms 6,940 KB
testcase_23	AC	106 ms 6,944 KB
testcase_24	AC	106 ms 6,940 KB
testcase_25	AC	106 ms 6,940 KB
testcase_26	AC	107 ms 6,944 KB
testcase_27	AC	1 ms 6,940 KB
testcase_28	AC	120 ms 6,940 KB
testcase_29	AC	161 ms 6,944 KB
testcase_30	AC	160 ms 6,944 KB
testcase_31	AC	1 ms 6,944 KB
testcase_32	AC	1 ms 6,944 KB

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ソースコード

raw source code

#[allow(unused_imports)]
use std::cmp::*;
#[allow(unused_imports)]
use std::collections::*;
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, [graph1; $len:expr]) => {{
        let mut g = vec![vec![]; $len];
        let ab = read_value!($next, [(usize1, usize1)]);
        for (a, b) in ab {
            g[a].push(b);
            g[b].push(a);
        }
        g
    }};
    ($next:expr, ( $($t:tt),* )) => {
        ( $(read_value!($next, $t)),* )
    };
    ($next:expr, [ $t:tt ; $len:expr ]) => {
        (0..$len).map(|_| read_value!($next, $t)).collect::<Vec<_>>()
    };
    ($next:expr, chars) => {
        read_value!($next, String).chars().collect::<Vec<char>>()
    };
    ($next:expr, usize1) => (read_value!($next, usize) - 1);
    ($next:expr, [ $t:tt ]) => {{
        let len = read_value!($next, usize);
        read_value!($next, [$t; len])
    }};
    ($next:expr, $t:ty) => ($next().parse::<$t>().expect("Parse error"));
}

#[allow(unused)]
macro_rules! debug {
    ($($format:tt)*) => (write!(std::io::stderr(), $($format)*).unwrap());
}
#[allow(unused)]
macro_rules! debugln {
    ($($format:tt)*) => (writeln!(std::io::stderr(), $($format)*).unwrap());
}

/// https://judge.yosupo.jp/submission/5155
mod pollard_rho {
    use std::collections::HashMap;
    /// binary gcd
    pub fn gcd(mut x: i64, mut y: i64) -> i64 {
        if y == 0 { return x; }
        if x == 0 { return y; }
        let k = (x | y).trailing_zeros();
        y >>= k;
        x >>= x.trailing_zeros();
        while y != 0 {
            y >>= y.trailing_zeros();
            if x > y { let t = x; x = y; y = t; }
            y -= x;
        }
        x << k
    }

    fn add_mod(x: i64, y: i64, n: i64) -> i64 {
        let z = x + y;
        if z >= n { z - n } else { z }
    }

    fn mul_mod(x: i64, mut y: i64, n: i64) -> i64 {
        assert!(x >= 0);
        assert!(x < n);
        let mut sum = 0;
        let mut cur = x;
        while y > 0 {
            if (y & 1) == 1 {
                sum = add_mod(sum, cur, n);
            }
            cur = add_mod(cur, cur, n);
            y >>= 1;
        }
        sum
    }

    fn mod_pow(x: i64, mut e: i64, n: i64) -> i64 {
        let mut prod = if n == 1 { 0 } else { 1 };
        let mut cur = x % n;
        while e > 0 {
            if (e & 1) == 1 {
                prod = mul_mod(prod, cur, n);
            }
            e >>= 1;
            if e > 0 {
                cur = mul_mod(cur, cur, n);
            }
        }
        prod
    }

    pub fn is_prime(n: i64) -> bool {
        if n <= 1 { return false; }
        let small = [2, 3, 5, 7, 11, 13];
        if small.iter().any(|&u| u == n) { return true; }
        if small.iter().any(|&u| n % u == 0) { return false; }
        let mut d = n - 1;
        let e = d.trailing_zeros();
        d >>= e;
        // https://miller-rabin.appspot.com/
        let a = [2, 325, 9375, 28178, 450775, 9780504, 1795265022];
        a.iter().all(|&a| {
            if a % n == 0 { return true; }
            let mut x = mod_pow(a, d, n);
            if x == 1 { return true; }
            for _ in 0 .. e {
                if x == n - 1 {
                    return true;
                }
                x = mul_mod(x, x, n);
                if x == 1 { return false; }
            }
            x == 1
        })
    }

    fn pollard_rho(n: i64, c: &mut i64) -> i64 {
        // An improvement with Brent's cycle detection algorithm is performed.
        // https://maths-people.anu.edu.au/~brent/pub/pub051.html
        if n % 2 == 0 { return 2; }
        loop {
            let mut x: i64; // tortoise
            let mut y = 2; // hare
            let mut d = 1;
            let cc = *c;
            let f = |i| add_mod(mul_mod(i, i, n), cc, n);
            let mut r = 1;
            // We don't perform the gcd-once-in-a-while optimization
            // because the plain gcd-every-time algorithm appears to
            // outperform, at least on judge.yosupo.jp :)
            while d == 1 {
                x = y;
                for _ in 0..r {
                    y = f(y);
                    d = gcd((x - y).abs(), n);
                    if d != 1 {
                        break;
                    }
                }
                r *= 2;
            }
            if d == n {
                *c += 1;
                continue;
            }
            return d;
        }
    }

    /// Outputs (p, e) in p's ascending order.
    pub fn factorize(x: i64) -> Vec<(i64, usize)> {
        if x <= 1 {
            return Vec::new();
        }
        let mut hm = HashMap::new();
        let mut pool = vec![x];
        let mut c = 1;
        while let Some(u) = pool.pop() {
            if is_prime(u) {
                *hm.entry(u).or_insert(0) += 1;
                continue;
            }
            let p = pollard_rho(u, &mut c);
            pool.push(p);
            pool.push(u / p);
        }
        let mut v: Vec<_> = hm.into_iter().collect();
        v.sort();
        v
    }
} // mod pollard_rho

fn divs_dfs<F>(pe: &[(i64, usize)], x: i64, f: &mut F) where F: FnMut(i64) {
    if pe.is_empty() {
        f(x);
        return;
    }
    let (p, e) = pe[0];
    let mut x = x;
    for _ in 0..e + 1 {
        divs_dfs(&pe[1..], x, f);
        x *= p;
    }
}

fn divs<F>(x: i64, f: &mut F) where F: FnMut(i64) {
    let pe = pollard_rho::factorize(x);
    divs_dfs(&pe, 1, f);
}

fn main() {
    let out = std::io::stdout();
    let mut out = BufWriter::new(out.lock());
    macro_rules! puts {
        ($($format:tt)*) => (let _ = write!(out,$($format)*););
    }
    input! {
        xy: [(i64, i64)],
    }
    for (x, y) in xy {
        let dif = (x - y).abs();
        if dif == 0 {
            let mut ans = x - 1;
            divs(x, &mut |d|{
                if d > 2 {
                    ans += 1;
                }
            });
            puts!("{}\n", ans);
            continue;
        }
        let mut ans = 0;
        divs(dif, &mut |d| {
            let a = d + 1;
            let bc = (x - y) / d;
            let xbc = x + bc;
            if xbc % (a + 1) != 0 {
                return;
            }
            let b = xbc / (a + 1);
            let c = b - bc;
            if b > 0 && c > 0 {
                ans += 1;
            }
        });
        puts!("{}\n", ans);
    }
}

yukicoder

結果

テストケース

ソースコード