#699235 (Rust) No.1666 累乗数

提出ソース

結果

問題	No.1666 累乗数
ユーザー	Vwxyz32795915
提出日時	2021-09-12 21:01:43
言語	Rust (1.77.0 + proconio)
結果	AC
実行時間	1,940 ms / 2,000 ms
コード長	7,732 bytes
コンパイル時間	13,004 ms
コンパイル使用メモリ	390,064 KB
実行使用メモリ	78,872 KB
最終ジャッジ日時	2024-06-24 13:07:50
合計ジャッジ時間	38,173 ms
ジャッジサーバーID （参考情報）	judge4 / judge1

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	9 ms 6,816 KB
testcase_01	AC	435 ms 21,244 KB
testcase_02	AC	503 ms 21,184 KB
testcase_03	AC	543 ms 21,160 KB
testcase_04	AC	549 ms 21,204 KB
testcase_05	AC	1,272 ms 78,780 KB
testcase_06	AC	1,278 ms 78,848 KB
testcase_07	AC	1,283 ms 78,800 KB
testcase_08	AC	1,284 ms 78,868 KB
testcase_09	AC	976 ms 40,400 KB
testcase_10	AC	1,214 ms 40,484 KB
testcase_11	AC	1,283 ms 78,772 KB
testcase_12	AC	1,211 ms 40,420 KB
testcase_13	AC	1,936 ms 78,768 KB
testcase_14	AC	1,937 ms 78,872 KB
testcase_15	AC	1,940 ms 78,800 KB
testcase_16	AC	1,931 ms 78,748 KB
testcase_17	AC	1,408 ms 78,756 KB
testcase_18	AC	1,706 ms 78,816 KB
testcase_19	AC	1,664 ms 78,784 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 import: `std::cmp`
 --> src/main.rs:2:5
  |
2 | use std::cmp;
  |     ^^^^^^^^
  |
  = note: `#[warn(unused_imports)]` on by default

warning: unused import: `std::cmp::min`
 --> src/main.rs:3:5
  |
3 | use std::cmp::min;
  |     ^^^^^^^^^^^^^

warning: unused import: `std::collections::BTreeMap`
 --> src/main.rs:4:5
  |
4 | use std::collections::BTreeMap;
  |     ^^^^^^^^^^^^^^^^^^^^^^^^^^

warning: unused import: `std::process`
 --> src/main.rs:5:5
  |
5 | use std::process;
  |     ^^^^^^^^^^^^

warning: unused import: `std::collections::HashSet`
 --> src/main.rs:8:5
  |
8 | use std::collections::HashSet;
  |     ^^^^^^^^^^^^^^^^^^^^^^^^^

warning: unused import: `std::collections::BTreeSet`
  --> src/main.rs:10:5
   |
10 | use std::collections::BTreeSet;
   |     ^^^^^^^^^^^^^^^^^^^^^^^^^^

warning: unused import: `std::collections::BinaryHeap`
  --> src/main.rs:12:5
   |
12 | use std::collections::BinaryHeap;
   |     ^^^^^^^^^^^^^^^^^^^^^^^^^^^^

warning: unused imports: `Hash`, `Hasher`
  --> src/main.rs:13:17
   |
13 | use std::hash::{Hash, Hasher};
   |                 ^^^^  ^^^^^^

warning: unnecessary parentheses around `while` condition
   --> src/main.rs:140:10
    |
140 |     while(b>0){
    |          ^   ^
    |
    = note: `#[warn(unused_parens)]` on by default
help: remove these parentheses
    |
140 -     while(b>0){
140 +     while b>0 {
    |

warning: unnecessary parentheses around `while` condition
   --> src/main.rs:156:14
    |
156 |         while(n != 0){
    |              ^      ^
    |
help: remove these parentheses
    |
156 -         while(n != 0){
156 +         while n != 0 {
    |

warning: unnecessary parentheses around `if` condition
   --> src/main.rs:157:16
    |
157 |             if (n&1 == 1){ans = ans*x%MODu;}
    |                ^        ^
    |
help: remove these parentheses
    |
157 -             if (n&1 == 1){ans = ans*x%MODu;}
157 +             if n&1 == 1 {ans = ans*x%MODu;}
    |

warning: unnecessary p

ソースコード

raw source code

use std::cmp::Ordering;
use std::cmp;
use std::cmp::min;
use std::collections::BTreeMap;
use std::process;
use std::cmp::Ord;
use std::collections::HashMap;
use std::collections::HashSet;
use std::collections::VecDeque;
use std::collections::BTreeSet;
use std::mem;
use std::collections::BinaryHeap;
use std::hash::{Hash, Hasher};

pub struct Scanner<R> {
    stdin: R,
}
 
impl<R: std::io::Read> Scanner<R> {
    pub fn read<T: std::str::FromStr>(&mut self) -> T {
        use std::io::Read;
        let buf = self
            .stdin
            .by_ref()
            .bytes()
            .map(|b| b.unwrap())
            .skip_while(|&b| b == b' ' || b == b'\n' || b == b'\r')
            .take_while(|&b| b != b' ' && b != b'\n' && b != b'\r')
            .collect::<Vec<_>>();
        std::str::from_utf8(&buf).unwrap()
            .parse()
            .ok()
            .expect("Parse error.")
    }
    pub fn vec<T: std::str::FromStr>(&mut self, n: usize) -> Vec<T> {
        (0..n).map(|_| self.read()).collect()
    }
    pub fn chars(&mut self) -> Vec<char> {
        self.read::<String>().chars().collect()
    }
}


pub trait BinarySearch<T> {
    fn lower_bound(&self, x:&T) -> usize;
    fn upper_bound(&self, x:&T) -> usize;
}

impl<T: Ord> BinarySearch<T> for VecDeque<T>{
    fn lower_bound(&self, x: &T) -> usize {
        let mut low = 0;
        let mut high = self.len();

        while low != high {
            let mid = (low + high) / 2;
            match self[mid].cmp(x) {
                Ordering::Less => {
                    low = mid + 1;
                }
                Ordering::Equal | Ordering::Greater => {
                    high = mid;
                }
            }
        }
        low
    }

    fn upper_bound(&self, x: &T) -> usize {
        let mut low = 0;
        let mut high = self.len();

        while low != high {
            let mid = (low + high) / 2;
            match self[mid].cmp(x) {
                Ordering::Less | Ordering::Equal => {
                    low = mid + 1;
                }
                Ordering::Greater => {
                    high = mid;
                }
            }
        }
        low
    }
}
impl<T: Ord> BinarySearch<T> for [T]{
    fn lower_bound(&self, x: &T) -> usize {
        let mut low = 0;
        let mut high = self.len();

        while low != high {
            let mid = (low + high) / 2;
            match self[mid].cmp(x) {
                Ordering::Less => {
                    low = mid + 1;
                }
                Ordering::Equal | Ordering::Greater => {
                    high = mid;
                }
            }
        }
        low
    }

    fn upper_bound(&self, x: &T) -> usize {
        let mut low = 0;
        let mut high = self.len();

        while low != high {
            let mid = (low + high) / 2;
            match self[mid].cmp(x) {
                Ordering::Less | Ordering::Equal => {
                    low = mid + 1;
                }
                Ordering::Greater => {
                    high = mid;
                }
            }
        }
        low
    }
}
fn comb(a:usize, b:usize,  fac:&Vec<usize>, ifac:&Vec<usize>)->usize{
        let mut a = a;
        let mut b = b;
        if a == 0 && b == 0{return 1;}
        if a<b || a<0{return 0;}
        let mut tmp = ifac[a-b]*ifac[b]%MODu;
        return tmp * fac[a]%MODu;
}
fn nHr(n:usize, r:usize, fac:&Vec<usize>, ifac:&Vec<usize>)->usize{
    return comb(n+r-1, r, fac, ifac);
}
fn modinv(a:usize, M:usize)->usize{
    let mut b = M as i64;
    let mut u = 1 as i64;
    let mut v = 0 as i64;
    let mut a = a as i64;
    let mut m = M as i64;
    while(b>0){
        let mut t = a/b;
        a -= t*b;
        mem::swap(&mut a, &mut b);
        u-=t*v;
        mem::swap(&mut u, &mut v);
    }
    u%=m;
    if u<0{u+=m;}
    return u as usize;

}
fn modpow(x:usize, n:usize) -> usize{
        let mut ans = 1;
        let mut n = n as usize;
        let mut x = x;
        while(n != 0){
            if (n&1 == 1){ans = ans*x%MODu;}
            x = x*x%MODu;
            n = n>>1;
        }
        ans
}
fn modpow2(x:i64, n:i64, m:i32) -> i64{
        let mut ans = 1;
        let mut n = n as i64;
        let mut x = x;
        while(n != 0){
            if (n&1 == 1){ans = ans*x%m as i64;}
            x = x*x%m as i64;
            n = n>>1;
        }
        ans
}


fn invs(max:usize)->(Vec<usize>, Vec<usize>){
    let mut fac = vec![0;max+1];
    let mut ifac = vec![0;max+1];
    fac[0] = 1;
    ifac[0] = 1;
    for i in 0..max{

        fac[i+1] = fac[i] * (i+1)%MODu;
        ifac[i+1] = ifac[i] * modpow(i+1, MODu - 2)%MODu;
    }
    (fac, ifac)
}

#[derive(Copy, Clone, Eq, PartialEq)]
struct x{    
             a:i64,   
             b:i64, 
             c:i64,   
             d:i64,   
}            
impl Ord for x{
    fn cmp(&self, other:&Self)->Ordering{
                 (other.b * (self.a)).cmp(&((self.b)*other.a))
             }        
         }            
         impl PartialOrd for x {
             fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
                 Some(self.cmp(other))
             }        
         }          
fn gcd(a:usize, b:usize)->usize{
    if b==0{return a;}
    return gcd(b, a%b);
}
fn prime_factor(n:usize)->HashMap<usize, usize>{
    let mut res = HashMap::new();
    let mut n = n;
    for i in 2..n{
        if i*i>n{break;}
        while(n%i==0){
            *res.entry(i).or_insert(0)+=1;
            n/=i;
        }
    }
    if n != 1{
        res.insert(n, 1);
    }
    res
}
fn usize_multiply_is_overflow(a:usize, b:usize)->bool{
    if a<std::usize::MAX/b{
        return false;
    }
    else{
        return true;
    }
}

fn tmp(x:usize, y:usize)->usize{
    let mut ub = INFu;
    let mut lb = 1;
    while(ub-lb>1){
        let mut mid = (ub+lb)/2;
        let mut now = 1;
        let mut ok = true;
        for i in 0..y{
            if usize_multiply_is_overflow(now, mid){
                ok = false;
                break;
            }
            now*=mid;
        }
        if now>x{
            ok = false;
        }
        if ok{
            lb = mid;
        }
        else{
            ub = mid;
        }
    }
    return lb;
}
fn solve(){
    let sssss = std::io::stdin();
    let mut sc = Scanner { stdin: sssss.lock() };
    let mut test:usize =sc.read();
    let mut h = HashMap::new();
    for _ in 0..test{
        let mut N:usize = sc.read();
        let mut ub = INFu;
        let mut lb = 0;
        let mut v = vec![0;61];
        while(ub-lb>1){
            let mut mid = (ub+lb)/2;
            v[0] = 0;
            v[1] = 1;

            for i in 2..61{
                if h.contains_key(&(mid, i)){
                    v[i] = h[&(mid, i)]-1;
                }
                else{
                    let a = tmp(mid, i);
                    v[i] = a-1;
                    h.insert((mid, i), a);
                }
            }
            let mut t = 1;
            for i in (2..v.len()).rev(){
                let mut x = i;
                let mut now = x;
                while(now+x<v.len()){
                    v[i]-=v[now+x];
                    now+=x;
                }   
                t+=v[i];
            }
            if t>=N{
                ub = mid;
            }
            else{
                lb = mid;
            }
        }
        println!("{}", ub);
    }






}


fn main(){
    solve();
}



const PI:f64 = std::f64::consts::PI;
pub static MOD:i64    = 998244353;
pub static MODu:usize = 1000000007;
pub static MODi32:i32 = 1000000007;
pub static eps:f64 = 1e-6;
const INF: i64 = 1 << 60;
const INFu:usize = 1<<62;
const INFu128:u128 = 1<<126;

yukicoder

結果

テストケース

コンパイルメッセージ

ソースコード