結果

問題 No.854 公平なりんご分配
コンテスト
ユーザー koba-e964
提出日時 2019-07-26 23:20:57
言語 Rust
(1.83.0 + proconio)
結果
RE  
実行時間 -
コード長 6,609 bytes
コンパイル時間 17,405 ms
コンパイル使用メモリ 388,760 KB
実行使用メモリ 123,392 KB
最終ジャッジ日時 2024-07-02 09:46:32
合計ジャッジ時間 19,497 ms
ジャッジサーバーID
（参考情報） 		judge2 / 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 * 26 WA * 3 RE * 63
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 # 

#[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, ( $($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);
        (0..len).map(|_| read_value!($next, $t)).collect::<Vec<_>>()
    }};

    ($next:expr, $t:ty) => {
        $next().parse::<$t>().expect("Parse error")
    };
}

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 mut sh = 0;
        while ((x | y) & 1) == 0 {
            x >>= 1; y >>= 1; sh += 1;
        }
        while (x & 1) == 0 { x >>= 1; }
        while y != 0 {
            while (y & 1) == 0 { y >>= 1; }
            if x > y { let t = x; x = y; y = t; }
            y -= x;
        }
        x << sh
    }

    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);
            }
            cur = mul_mod(cur, cur, n);
            e >>= 1;
        }
        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 mut e = 0;
        while (d & 1) == 0 {
            d >>= 1;
            e += 1;
        }
        let a = [2, 325, 9375, 28178, 450775, 9780504, 1795265022];
        a.iter().all(|&a| {
            if a >= n { 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 {
        if n % 2 == 0 { return 2; }
        loop {
            let mut x: i64 = 2;
            let mut y = 2;
            let mut d = 1;
            let cc = *c;
            let f = |i| add_mod(mul_mod(i, i, n), cc, n);
            while d == 1 {
                x = f(x);
                y = f(f(y));
                d = gcd((x - y).abs(), n);
            }
            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 solve() {
    let out = std::io::stdout();
    let mut out = BufWriter::new(out.lock());
    macro_rules! puts {
        ($($format:tt)*) => (write!(out,$($format)*).unwrap());
    }
    input! {
        n: usize,
        a: [i32; n],
        plr: [(i64, usize1, usize)],
    }
    const W: usize = 2000;
    let mut fac = vec![0; W];
    for i in 2..W {
        fac[i] = i;
    }
    for i in 2..W {
        if fac[i] != i { continue; }
        for j in 2..(W - 1) / i + 1 {
            fac[i * j] = i;
        }
    }
    let primes: Vec<_> = (2..W).filter(|&i| fac[i] == i).collect();
    let m = primes.len();
    let mut inv = vec![0; W];
    for i in 0..m {
        inv[primes[i]] = i;
    }
    let mut acc = vec![vec![0i32; n + 1]; m];
    for i in 0..n {
        for j in 0..m {
            acc[j][i + 1] = acc[j][i];
        }
        let mut v = a[i];
        while v > 1 {
            let p = fac[v as usize];
            v /= p as i32;
            let idx = inv[p];
            acc[idx][i + 1] += 1;
        }
    }
    for &(p, l, r) in &plr {
        let res = pollard_rho::factorize(p);
        let mut ans = true;
        for &(p, e) in &res {
            if p >= W as i64 {
                ans = false;
                break;
            }
            let idx = inv[p as usize];
            let diff = acc[idx][r] - acc[idx][l];
            if diff < e as i32 {
                ans = false;
                break;
            }
        }
        puts!("{}\n", if ans { "Yes" } else { "NO" });
    }
}

fn main() {
    // In order to avoid potential stack overflow, spawn a new thread.
    let stack_size = 104_857_600; // 100 MB
    let thd = std::thread::Builder::new().stack_size(stack_size);
    thd.spawn(|| solve()).unwrap().join().unwrap();
}
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