#915155 (Rust) No.2479 Sum of Squares

• 問題: No.2479 Sum of Squares
• ユーザー: Moss_Local
• 提出日時: 2023-09-22 22:50:21
• 言語: Rust (1.83.0 + proconio)
• 結果: AC
• 実行時間: 1 ms / 2,000 ms
• コード長: 9,052 bytes
• コンパイル時間: 11,274 ms
• コンパイル使用メモリ: 402,388 KB
• 実行使用メモリ: 5,376 KB
• 最終ジャッジ日時: 2024-07-08 13:33:50
• 合計ジャッジ時間: 12,462 ms
• ジャッジサーバーID （参考情報）: judge5 / judge1

ファイルパターン	結果
sample	AC * 3
other	AC * 22

ソースコード

// -*- coding:utf-8-unix -*-
// #![feature(map_first_last)]
#![allow(dead_code)]
#![allow(unused_imports)]
#![allow(unused_macros)]
// use core::num;
use std::cmp::*;
use std::fmt::*;
use std::hash::*;
use std::iter::FromIterator;
use std::*;
use std::{cmp, collections, fmt, io, iter, ops, str};
const INF: i64 = 1223372036854775807;
const UINF: usize = INF as usize;
const LINF: i64 = 2147483647;
const INF128: i128 = 1223372036854775807000000000000;
const MOD1: i64 = 1000000007;
const MOD9: i64 = 998244353;
const MOD: i64 = MOD9;
// const MOD: i64 = MOD2;
const UMOD: usize = MOD as usize;
const M_PI: f64 = 3.14159265358979323846;

// use proconio::input;
// const MOD: i64 = INF;

use cmp::Ordering::*;
use std::collections::*;

use std::io::stdin;
use std::io::stdout;
use std::io::Write;

macro_rules! p {
    ($x:expr) => {
        //if expr
        println!("{}", $x);
    };
}

macro_rules! vp {
    // vector print separate with space
    ($x:expr) => {
        println!(
            "{}",
            $x.iter()
                .map(|x| x.to_string())
                .collect::<Vec<_>>()
                .join(" ")
        );
    };
}

macro_rules! d {
    ($x:expr) => {
        eprintln!("{:?}", $x);
    };
}
macro_rules! yn {
    ($val:expr) => {
        if $val {
            println!("Yes");
        } else {
            println!("No");
        }
    };
}

fn main() {
    solve();
}

// use str::Chars;
#[allow(dead_code)]
fn read<T: std::str::FromStr>() -> T {
    let mut s = String::new();
    std::io::stdin().read_line(&mut s).ok();
    s.trim().parse().ok().unwrap()
}

#[allow(dead_code)]
fn read_vec<T: std::str::FromStr>() -> Vec<T> {
    read::<String>()
        .split_whitespace()
        .map(|e| e.parse().ok().unwrap())
        .collect()
}

#[allow(dead_code)]
fn read_mat<T: std::str::FromStr>(n: u32) -> Vec<Vec<T>> {
    (0..n).map(|_| read_vec()).collect()
}

#[allow(dead_code)]
fn readii() -> (i64, i64) {
    let mut str = String::new();
    let _ = stdin().read_line(&mut str).unwrap();
    let mut iter = str.split_whitespace();
    (
        iter.next().unwrap().parse::<i64>().unwrap(),
        iter.next().unwrap().parse::<i64>().unwrap(),
    )
}

#[allow(dead_code)]
fn readiii() -> (i64, i64, i64) {
    let mut str = String::new();
    let _ = stdin().read_line(&mut str).unwrap();
    let mut iter = str.split_whitespace();
    (
        iter.next().unwrap().parse::<i64>().unwrap(),
        iter.next().unwrap().parse::<i64>().unwrap(),
        iter.next().unwrap().parse::<i64>().unwrap(),
    )
}
#[allow(dead_code)]
fn readuu() -> (usize, usize) {
    let mut str = String::new();
    let _ = stdin().read_line(&mut str).unwrap();
    let mut iter = str.split_whitespace();
    (
        iter.next().unwrap().parse::<usize>().unwrap(),
        iter.next().unwrap().parse::<usize>().unwrap(),
    )
}

#[allow(dead_code)]
fn readff() -> (f64, f64) {
    let mut str = String::new();
    let _ = stdin().read_line(&mut str).unwrap();
    let mut iter = str.split_whitespace();
    (
        iter.next().unwrap().parse::<f64>().unwrap(),
        iter.next().unwrap().parse::<f64>().unwrap(),
    )
}

fn readcc() -> (char, char) {
    let mut str = String::new();
    let _ = stdin().read_line(&mut str).unwrap();
    let mut iter = str.split_whitespace();
    (
        iter.next().unwrap().parse::<char>().unwrap(),
        iter.next().unwrap().parse::<char>().unwrap(),
    )
}

fn readuuu() -> (usize, usize, usize) {
    let mut str = String::new();
    let _ = stdin().read_line(&mut str).unwrap();
    let mut iter = str.split_whitespace();
    (
        iter.next().unwrap().parse::<usize>().unwrap(),
        iter.next().unwrap().parse::<usize>().unwrap(),
        iter.next().unwrap().parse::<usize>().unwrap(),
    )
}
#[allow(dead_code)]
fn readiiii() -> (i64, i64, i64, i64) {
    let mut str = String::new();
    let _ = stdin().read_line(&mut str).unwrap();
    let mut iter = str.split_whitespace();
    (
        iter.next().unwrap().parse::<i64>().unwrap(),
        iter.next().unwrap().parse::<i64>().unwrap(),
        iter.next().unwrap().parse::<i64>().unwrap(),
        iter.next().unwrap().parse::<i64>().unwrap(),
    )
}

#[allow(dead_code)]
fn readuuuu() -> (usize, usize, usize, usize) {
    let mut str = String::new();
    let _ = stdin().read_line(&mut str).unwrap();
    let mut iter = str.split_whitespace();
    (
        iter.next().unwrap().parse::<usize>().unwrap(),
        iter.next().unwrap().parse::<usize>().unwrap(),
        iter.next().unwrap().parse::<usize>().unwrap(),
        iter.next().unwrap().parse::<usize>().unwrap(),
    )
}

fn readimat(h: usize, w: usize) -> Vec<Vec<i64>> {
    let mut mat = vec![vec![0; w]; h];
    for i in 0..h {
        let mut str = String::new();
        let _ = stdin().read_line(&mut str).unwrap();
        let mut iter = str.split_whitespace();
        for j in 0..w {
            mat[i][j] = iter.next().unwrap().parse::<i64>().unwrap();
        }
    }
    mat
}

fn readcmat(h: usize, w: usize) -> Vec<Vec<char>> {
    let mut mat = vec![vec!['.'; w]; h];
    for i in 0..h {
        let mut str = String::new();
        let _ = stdin().read_line(&mut str).unwrap();
        let mut iter = str.chars();
        for j in 0..w {
            mat[i][j] = iter.next().unwrap();
        }
    }
    mat
}
fn prime_factorization(x: usize) -> BTreeMap<usize, usize> {
    let mut res: BTreeMap<usize, usize> = BTreeMap::new();
    let mut xx = x;
    let mut p: usize = 2;
    while p * p <= xx {
        while xx % p == 0 {
            // println!("{:?}", p);
            let t = res.get_mut(&p);
            if t.is_none() {
                res.insert(p, 1);
            } else {
                *t.unwrap() += 1;
            }
            xx /= p;
        }
        // println!("{:?} {:?}", p, res);
        p += 1;
    }

    if xx != 1 {
        let t = res.get_mut(&xx);
        if t.is_none() {
            res.insert(xx, 1);
        } else {
            *t.unwrap() += 1;
        }
    }
    res
}

pub struct Dsu {
    n: usize,
    // root node: -1 * component size
    // otherwise: parent
    parent_or_size: Vec<i32>,
}

impl Dsu {
    // 0 <= size <= 10^8 is constrained.
    pub fn new(size: usize) -> Self {
        Self {
            n: size,
            parent_or_size: vec![-1; size],
        }
    }
    pub fn merge(&mut self, a: usize, b: usize) -> usize {
        assert!(a < self.n);
        assert!(b < self.n);
        let (mut x, mut y) = (self.leader(a), self.leader(b));
        if x == y {
            return x;
        }
        if -self.parent_or_size[x] < -self.parent_or_size[y] {
            std::mem::swap(&mut x, &mut y);
        }
        self.parent_or_size[x] += self.parent_or_size[y];
        self.parent_or_size[y] = x as i32;
        x
    }

    pub fn same(&mut self, a: usize, b: usize) -> bool {
        assert!(a < self.n);
        assert!(b < self.n);
        self.leader(a) == self.leader(b)
    }
    pub fn leader(&mut self, a: usize) -> usize {
        assert!(a < self.n);
        if self.parent_or_size[a] < 0 {
            return a;
        }
        self.parent_or_size[a] = self.leader(self.parent_or_size[a] as usize) as i32;
        self.parent_or_size[a] as usize
    }
    pub fn size(&mut self, a: usize) -> usize {
        assert!(a < self.n);
        let x = self.leader(a);
        -self.parent_or_size[x] as usize
    }
    pub fn groups(&mut self) -> Vec<Vec<usize>> {
        let mut leader_buf = vec![0; self.n];
        let mut group_size = vec![0; self.n];
        for i in 0..self.n {
            leader_buf[i] = self.leader(i);
            group_size[leader_buf[i]] += 1;
        }
        let mut result = vec![Vec::new(); self.n];
        for i in 0..self.n {
            result[i].reserve(group_size[i]);
        }
        for i in 0..self.n {
            result[leader_buf[i]].push(i);
        }
        result
            .into_iter()
            .filter(|x| !x.is_empty())
            .collect::<Vec<Vec<usize>>>()
    }
}

fn dfs(v: usize, graph: &Vec<Vec<(usize, usize)>>, used: &mut Vec<usize>, data: &mut Vec<usize>) {
    used[v] = 1;
    for i in graph[v].iter() {
        let nv = (*i).0;
        if used[nv] == 1 {
            continue;
        }
        data[nv] = data[v] ^ 1;
        dfs(nv, &graph, used, data);
    }
    return;
}
fn binsearch(ok: i64, ng: i64, f: &dyn Fn(i64) -> bool) -> i64 {
    let mut ok = ok;
    let mut ng = ng;
    while (ng - ok).abs() > 1 {
        let mid = (ok + ng) / 2;
        if f(mid) {
            ok = mid;
        } else {
            ng = mid;
        }
    }
    return ok;
}
fn solve() {
    let s: usize = read();
    let mut x = s;
    let mut res = vec![];
    while x > 0 {
        let f = |t: i64| -> bool {
            return t as i128 * t as i128 <= x as i128;
        };
        let y = binsearch(0, x as i64 + 1, &f);
        res.push((y * y) as usize);
        x -= (y * y) as usize;
        // d!(y);
    }

    res.sort();
    p!(res.len());
    vp!(res);

    return;
}