結果

問題 No.1876 Xor of Sum
ユーザー koba-e964
提出日時 2023-03-28 22:13:09
言語 Rust
(1.83.0 + proconio)
結果
AC  
実行時間 316 ms / 2,000 ms
コード長 5,062 bytes
コンパイル時間 13,741 ms
コンパイル使用メモリ 378,132 KB
実行使用メモリ 5,376 KB
最終ジャッジ日時 2024-09-20 10:42:00
合計ジャッジ時間 19,776 ms
ジャッジサーバーID
（参考情報） 		judge1 / 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 * 3
other AC * 27
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 #
プレゼンテーションモードにする

// 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 ; $len:expr ]) => {
        (0..$len).map(|_| read_value!($next, $t)).collect::<Vec<_>>()
    };
    ($next:expr, $t:ty) => ($next().parse::<$t>().expect("Parse error"));
}
// Verified by https://atcoder.jp/contests/arc084/submissions/3935443
#[derive(Clone)]
struct BitSet {
    size: usize,
    buf: Vec<usize>,
}
impl BitSet {
    // size should be a multiple of bit-size of usize.
    fn new(size: usize) -> Self {
        let w = 8 * std::mem::size_of::<usize>();
        assert_eq!(size & (w - 1), 0);
        let count = size / w;
        BitSet {
            size: size,
            buf: vec![0; count],
        }
    }
    #[allow(unused)]
    fn set(&mut self, idx: usize, val: bool) {
        debug_assert!(idx < self.size);
        let w = 8 * std::mem::size_of::<usize>();
        let idx0 = idx / w;
        let idx1 = idx & (w - 1);
        if val {
            self.buf[idx0] |= 1 << idx1;
        } else {
            self.buf[idx0] &= !(1 << idx1);
        }
    }
    #[allow(unused)]
    fn get(&self, idx: usize) -> bool {
        let w = 8 * std::mem::size_of::<usize>();
        debug_assert!(idx < self.size);
        let idx0 = idx / w;
        let idx1 = idx & (w - 1);
        (self.buf[idx0] >> idx1 & 1) == 1
    }
    #[allow(unused)]
    fn shl(&self, val: usize) -> Self {
        if val >= self.size { return Self::new(self.size); }
        let w = 8 * std::mem::size_of::<usize>();
        let count = self.size / w;
        let sh0 = val / w;
        let sh1 = val & (w - 1);
        let mut ans = Self::new(self.size);
        if sh1 == 0 {
            for i in 0..count - sh0 {
                ans.buf[i + sh0] = self.buf[i];
            }
        } else {
            ans.buf[sh0] = self.buf[0] << sh1;
            for i in 1..count - sh0 {
                ans.buf[i + sh0] = self.buf[i] << sh1
                    | self.buf[i - 1] >> (w - sh1);
            }
        }
        ans
    }
    // Verified by: https://www.hackerrank.com/contests/yfkpo4/challenges/e-strange-clock/submissions/code/1357435235
    #[allow(unused)]
    fn shr(&self, val: usize) -> Self {
        if val >= self.size { return Self::new(self.size); }
        let w = 8 * std::mem::size_of::<usize>();
        let count = self.size / w;
        let sh0 = val / w;
        let sh1 = val & (w - 1);
        let mut ans = Self::new(self.size);
        if sh1 == 0 {
            for i in 0..count - sh0 {
                ans.buf[i] = self.buf[i + sh0];
            }
        } else {
            for i in 0..count - sh0 - 1 {
                ans.buf[i] = self.buf[i + sh0] >> sh1
                    | self.buf[i + sh0 + 1] << (w - sh1);
            }
            ans.buf[count - sh0 - 1] = self.buf[count - 1] >> sh1;
        }
        ans
    }
    #[allow(unused)]
    fn msb(&self) -> Option<usize> {
        let w = 8 * std::mem::size_of::<usize>();
        let count = self.size / w;
        for i in (0..count).rev() {
            let v = self.buf[i];
            if v != 0 {
                return Some(w * i + w - 1 - v.leading_zeros() as usize);
            }
        }
        None
    }
}
// TODO reference is not allowed as rhs
impl std::ops::BitXorAssign for BitSet {
    fn bitxor_assign(&mut self, other: BitSet) {
        debug_assert_eq!(self.size, other.size);
        for i in 0..self.buf.len() {
            self.buf[i] ^= other.buf[i];
        }
    }
}
impl std::ops::BitOrAssign for BitSet {
    fn bitor_assign(&mut self, other: BitSet) {
        debug_assert_eq!(self.size, other.size);
        for i in 0..self.buf.len() {
            self.buf[i] |= other.buf[i];
        }
    }
}
// https://yukicoder.me/problems/no/1876 (3)
// ナップサック問題で、それぞれの重みについてそれを実現する方法の総数の偶奇だけが分かれば良いことに注意すると、bitset で O(N \sum_i A_i/w)。
// Similar problems: https://atcoder.jp/contests/agc020/tasks/agc020_c
fn main() {
    input! {
        n: usize,
        a: [usize; n],
    }
    const W: usize = 4_000_064;
    let mut bs = BitSet::new(W);
    bs.set(0, true);
    for a in a {
        let tmp = bs.shl(a);
        bs ^= tmp;
    }
    let mut ans = 0;
    for i in 0..W {
        if bs.get(i) {
            ans ^= i;
        }
    }
    println!("{}", ans);
}
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