結果

問題 No.2796 Small Matryoshka
コンテスト
ユーザー naut3
提出日時 2024-06-28 21:47:24
言語 Rust
(1.83.0 + proconio)
結果
WA  
実行時間 -
コード長 5,301 bytes
コンパイル時間 24,385 ms
コンパイル使用メモリ 399,760 KB
実行使用メモリ 29,228 KB
最終ジャッジ日時 2024-06-28 21:47:54
合計ジャッジ時間 14,720 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge5
このコードへのチャレンジ
（要ログイン）
ファイルパターン 結果
sample AC * 3
other AC * 8 WA * 11
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(non_snake_case, unused_imports)]
use monoid::Max;
use proconio::{fastout, input, marker::*};

#[fastout]
fn main() {
    input! {
        N: usize,
        mut rR: [(usize, usize); N],
    }

    let mut v = vec![0];

    for &(r, R) in rR.iter() {
        v.push(r);
        v.push(R);
    }

    let (z, zi) = coordinate_compression(&v);

    let mut stree: segment_tree::SegmentTree<Max<usize>> = segment_tree::SegmentTree::new(z.len());

    rR.sort_by_key(|&(r, _)| r);

    for (r, R) in rR {
        let (_, &k) = zi.range(..=r).next_back().unwrap();
        let p = *zi.get(&R).unwrap();

        let v = stree.prod(..=k);

        if stree.get(p) <= v + 1 {
            stree.update(p, v + 1);
        }
    }

    let ans = N - stree.prod(..);
    println!("{}", ans);
}

pub fn coordinate_compression<T: std::cmp::Ord + Clone + Copy>(
    values: &[T],
) -> (Vec<T>, std::collections::BTreeMap<T, usize>) {
    let s: std::collections::BTreeSet<T> = values.iter().cloned().collect();
    let z: Vec<T> = s.iter().cloned().collect();
    let zinv: std::collections::BTreeMap<T, usize> =
        z.iter().enumerate().map(|(i, &v)| (v, i)).collect();
    (z, zinv)
}

pub mod monoid {
    pub trait Monoid {
        type S; // 集合
        fn op(lhs: &Self::S, rhs: &Self::S) -> Self::S; // 二項演算
        const E: Self::S; // 単位元
    }

    pub struct Add<T> {
        _marker: std::marker::PhantomData<T>,
    }

    pub struct Max<T> {
        _marker: std::marker::PhantomData<T>,
    }

    pub struct Min<T> {
        _marker: std::marker::PhantomData<T>,
    }

    pub struct Update<T> {
        _marker: std::marker::PhantomData<T>,
    }

    macro_rules! impl_primitives {
    ($($t: ty), *) => {
        $(
            impl Monoid for Add<$t> {
                type S = $t;
                const E: Self::S = 0;
                fn op(lhs: &Self::S, rhs: &Self::S) -> Self::S {
                    lhs + rhs
                }
            }

            impl Monoid for Max<$t> {
                type S = $t;
                const E: Self::S = <$t>::MIN;
                fn op(lhs: &Self::S, rhs: &Self::S) -> Self::S {
                    std::cmp::max(*lhs, *rhs)
                }
            }

            impl Monoid for Min<$t> {
                type S = $t;
                const E: Self::S = <$t>::MAX;
                fn op(lhs: &Self::S, rhs: &Self::S) -> Self::S {
                    std::cmp::min(*lhs, *rhs)
                }
            }

            impl Monoid for Update<$t> {
                type S = $t;
                const E: Self::S = <$t>::MAX;
                fn op(_: &Self::S, rhs: &Self::S) -> Self::S {
                    *rhs
                }
            }
        )*
    };
}

    impl_primitives!(usize, isize, u128, i128, u64, i64);
}

pub mod segment_tree {
    use crate::monoid::Monoid;

    pub struct SegmentTree<M: Monoid> {
        size: usize,
        tree: Vec<M::S>,
    }

    impl<M: Monoid<S = S>, S: Clone + Copy> SegmentTree<M> {
        /// self = [e; size]
        pub fn new(size: usize) -> Self {
            Self {
                size,
                tree: vec![M::E; size << 1],
            }
        }

        /// self = array
        pub fn from(array: &[M::S]) -> Self {
            let size = array.len();
            let mut tree = vec![M::E; size << 1];

            for i in 0..size {
                tree[i + size] = array[i];
            }

            for i in (1..size).rev() {
                tree[i] = M::op(&tree[i << 1], &tree[i << 1 | 1]);
            }

            return Self { size, tree };
        }

        /// self[i] <- s
        pub fn update(&mut self, mut i: usize, s: S) {
            i += self.size;

            self.tree[i] = s;

            while i > 1 {
                i >>= 1;
                self.tree[i] = M::op(&self.tree[i << 1], &self.tree[i << 1 | 1]);
            }
        }

        /// get self[i]
        pub fn get(&self, i: usize) -> S {
            return self.tree[i + self.size];
        }

        /// calculate Π_{i ∈ range} self[i]
        pub fn prod<R: std::ops::RangeBounds<usize>>(&self, range: R) -> S {
            let left = match range.start_bound() {
                std::ops::Bound::Included(&l) => l,
                std::ops::Bound::Excluded(&l) => l + 1,
                std::ops::Bound::Unbounded => 0,
            };

            let right = match range.end_bound() {
                std::ops::Bound::Included(&r) => r + 1,
                std::ops::Bound::Excluded(&r) => r,
                std::ops::Bound::Unbounded => self.size,
            };

            return self._prod(left, right);
        }

        fn _prod(&self, mut left: usize, mut right: usize) -> S {
            left += self.size;
            right += self.size;
            let (mut sl, mut sr) = (M::E, M::E);

            while left < right {
                if left & 1 == 1 {
                    sl = M::op(&sl, &self.tree[left]);
                    left += 1;
                }

                if right & 1 == 1 {
                    right -= 1;
                    sr = M::op(&self.tree[right], &sr);
                }

                left >>= 1;
                right >>= 1;
            }

            return M::op(&sl, &sr);
        }
    }
}
0