#695985 (Rust) No.1666 累乗数

• 問題: No.1666 累乗数
• ユーザー: ziita
• 提出日時: 2021-09-03 23:16:02
• 言語: Rust (1.77.0 + proconio)
• 結果: AC
• 実行時間: 579 ms / 2,000 ms
• コード長: 4,431 bytes
• コンパイル時間: 18,421 ms
• コンパイル使用メモリ: 378,172 KB
• 実行使用メモリ: 5,376 KB
• 最終ジャッジ日時: 2024-05-09 07:02:23
• 合計ジャッジ時間: 21,955 ms
• ジャッジサーバーID （参考情報）: judge2 / judge3

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	6 ms; 5,248 KB
testcase_01	AC	257 ms; 5,248 KB
testcase_02	AC	263 ms; 5,376 KB
testcase_03	AC	263 ms; 5,376 KB
testcase_04	AC	266 ms; 5,376 KB
testcase_05	AC	579 ms; 5,376 KB
testcase_06	AC	568 ms; 5,376 KB
testcase_07	AC	571 ms; 5,376 KB
testcase_08	AC	573 ms; 5,376 KB
testcase_09	AC	351 ms; 5,376 KB
testcase_10	AC	355 ms; 5,376 KB
testcase_11	AC	364 ms; 5,376 KB
testcase_12	AC	354 ms; 5,376 KB
testcase_13	AC	547 ms; 5,376 KB
testcase_14	AC	549 ms; 5,376 KB
testcase_15	AC	545 ms; 5,376 KB
testcase_16	AC	549 ms; 5,376 KB
testcase_17	AC	427 ms; 5,376 KB
testcase_18	AC	462 ms; 5,376 KB
testcase_19	AC	441 ms; 5,376 KB

ソースコード

#![allow(unused_imports)]
#![allow(non_snake_case, unused)]

// https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8
macro_rules! input {
    (source = $s:expr, $($r:tt)*) => {
        let mut iter = $s.split_whitespace();
        let mut next = || { iter.next().unwrap() };
        input_inner!{next, $($r)*}
    };
    ($($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:ty) => {
        $next().parse::<$t>().expect("Parse error")
    };
}

use std::io::Write;
use std::collections::*;
use std::cmp::*;
use std::ops::*;
use std::marker::*;

const INF: i64 = std::i64::MAX/100;
const MOD: i64 = 1_000_000_007;
// const MOD: i64 = 998244353;

struct SieveOfEratosthenes {
    primes: Vec<usize>,
    divs: Vec<usize>,
    mobius: Vec<i64>,
}

impl SieveOfEratosthenes {
    pub fn new(n: usize) -> Self {
        let mut divs = vec![1;n+1];
        let mut mobius = vec![-1;n+1];
        for i in 2..=n {
            if divs[i]!=1 {
                continue;
            }
            for j in 1..=n {
                let val = i*j;
                if val>n {
                    break;
                }
                divs[val as usize] = i;
                if (val/i)%i==0 {
                    mobius[val as usize] = 0;
                }
                else {
                    mobius[val as usize] = -mobius[val as usize];
                }
            }
        }
        let mut primes = divs.iter()
                             .enumerate()
                             .filter(|x| *x.1>1 && x.0==*x.1)
                             .map(|x| *x.1)
                             .collect::<Vec<usize>>();
        SieveOfEratosthenes {
            divs,
            primes,
            mobius,
        }
    }
    pub fn factors(&self, n: usize) -> Vec<(usize,usize)> {
        assert!(n+1<=self.divs.len());
        let mut ans = vec![];
        let mut x = n;
        while x > 1 {
            let nxt = self.divs[x];
            ans.push(nxt);
            x /= nxt;
        }
        let mut map = HashMap::<usize,usize>::new();
        for &a in &ans {
            *map.entry(a).or_insert(0) += 1;
        }
        let mut ret = vec![];
        for (&k,&v) in map.iter() {
            ret.push((k,v));
        }
        ret
    }
}


fn main() {
    input! {
        t: usize,
        k: [i64;t],
    }
    let p = SieveOfEratosthenes::new(100);
    for &k in &k {
        let mut left = 0;
        let mut right = 10_i64.pow(18)*2;
        while right-left>1 {
            let mid = (left+right)/2;
            let ret = judge(mid,&p.mobius);
            if ret >= k {
                right = mid;
            }
            else {
                left = mid;
            }
        }
        println!("{}",right);
    }
}

fn judge(x: i64, mobius: &Vec<i64>) -> i64 {
    let mut ret = 1;
    for i in 2..=70 {
        let q = (x as f64).powf(1.0/i as f64) as i64;
        let mut r = 0;
        for j in (max(2,q-10)..=q+10).rev() {
            let mut base = 1;
            let mut flag = true;
            for k in 0..i {
                if base > x/j {
                    flag = false;
                    break;
                }
                base *= j;
            }
            if flag {
                r = j;
                break;
            } 
        }
        if r==0 {
            break;
        }
        ret += mobius[i]*(r-1);
    }
    ret
}