pub struct UnionFindMonoid<M: CommutativeMonoid> { /* private fields */ }
Expand description

UnionFind木(モノイド)

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impl<M: CommutativeMonoid> UnionFindMonoid<M>

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pub fn root(&mut self, x: usize) -> usize

根を求める

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pub fn value(&mut self, x: usize) -> &M::Val

ノードxが属する集合の値を取得

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pub fn is_same(&mut self, x: usize, y: usize) -> bool

同一の集合に所属するか判定

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pub fn unite(&mut self, x: usize, y: usize) -> Option<usize>

集合x,yを併合する.

戻り値

  • すでに併合済みだった場合None,そうでない場合親となった要素の番号を返す
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pub fn get_size(&mut self, x: usize) -> usize

連結成分の大きさを求める

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pub fn group_count(&self) -> usize

連結成分の数を返す

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pub fn enum_groups(&mut self) -> HashMap<usize, Vec<usize>>

{代表元: 集合} のマップを返す

  • 時間計算量: $O(N)$
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impl UnionFindMonoid<()>

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pub fn new(n: usize) -> Self

新しいUnionFind木を生成する

Trait Implementations§

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impl<M> Debug for UnionFindMonoid<M>where M: CommutativeMonoid, M::Val: Debug + Clone,

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fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more
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impl<M: CommutativeMonoid> From<Vec<<M as Monoid>::Val, Global>> for UnionFindMonoid<M>

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fn from(value: Vec<M::Val>) -> Self

Converts to this type from the input type.
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impl<M: CommutativeMonoid> FromIterator<<M as Monoid>::Val> for UnionFindMonoid<M>

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fn from_iter<T: IntoIterator<Item = M::Val>>(iter: T) -> Self

Creates a value from an iterator. Read more

Auto Trait Implementations§

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impl<M> RefUnwindSafe for UnionFindMonoid<M>where <M as Monoid>::Val: RefUnwindSafe,

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impl<M> Send for UnionFindMonoid<M>where <M as Monoid>::Val: Send,

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impl<M> Sync for UnionFindMonoid<M>where <M as Monoid>::Val: Sync,

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impl<M> Unpin for UnionFindMonoid<M>where <M as Monoid>::Val: Unpin,

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impl<M> UnwindSafe for UnionFindMonoid<M>where <M as Monoid>::Val: UnwindSafe,

Blanket Implementations§

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impl<T> Any for Twhere T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for Twhere T: ?Sized,

const: unstable · source§

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for Twhere T: ?Sized,

const: unstable · source§

fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for Twhere U: From<T>,

const: unstable · source§

fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T, U> TryFrom<U> for Twhere U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
const: unstable · source§

fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for Twhere U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
const: unstable · source§

fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
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impl<V, T> VZip<V> for Twhere V: MultiLane<T>,

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fn vzip(self) -> V