pub struct FenwickTree<T: Default + Ord, Op: PrefixOp<T>> { /* private fields */ }
Expand description

In a max bit tree or Fenwick Tree, get(i) will return the largest element e that has been added to the bit tree with set(j, e), where j <= i. Initially all positions have the value T::default(). Note that a set cannot be ‘undone’ by inserting a smaller element at the same index. Time Complexity: O(n) to build a new tree or O(log n) for get() and set() operations, where n = tree.len().

Implementations§

source§

impl<T: Ord + Default + Copy, Op: PrefixOp<T>> FenwickTree<T, Op>

source

pub fn new(len: usize) -> FenwickTree<T, Op>

Create a new bit tree with len elements

source

pub fn get(&self, idx: usize) -> T

Returns the largest element e that has been added to the bit tree with set(j, e), where j <= i.

source

pub fn set(&mut self, idx: usize, val: T)

Set the value val at position idx; val will be returned for any get(j) where j >= idx, if it is the maximum value inserted between 0 and j. Inserting a value val2 after inserting val1 where val1 > val2 will have no effect.

Trait Implementations§

source§

impl<T: Clone + Default + Ord, Op: Clone + PrefixOp<T>> Clone for FenwickTree<T, Op>

source§

fn clone(&self) -> FenwickTree<T, Op>

Returns a copy of the value. Read more
1.0.0 · source§

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
source§

impl<T: Debug + Default + Ord, Op: Debug + PrefixOp<T>> Debug for FenwickTree<T, Op>

source§

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

Formats the value using the given formatter. Read more
source§

impl<T: Default + Default + Ord, Op: Default + PrefixOp<T>> Default for FenwickTree<T, Op>

source§

fn default() -> FenwickTree<T, Op>

Returns the “default value” for a type. Read more
source§

impl<'de, T, Op: PrefixOp<T>> Deserialize<'de> for FenwickTree<T, Op>where T: Deserialize<'de> + Default + Ord,

source§

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer. Read more
source§

impl<T: Hash + Default + Ord, Op: Hash + PrefixOp<T>> Hash for FenwickTree<T, Op>

source§

fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher. Read more
1.3.0 · source§

fn hash_slice<H>(data: &[Self], state: &mut H)where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher. Read more
source§

impl<T: Ord + Default + Ord, Op: Ord + PrefixOp<T>> Ord for FenwickTree<T, Op>

source§

fn cmp(&self, other: &FenwickTree<T, Op>) -> Ordering

This method returns an Ordering between self and other. Read more
1.21.0 · source§

fn max(self, other: Self) -> Selfwhere Self: Sized,

Compares and returns the maximum of two values. Read more
1.21.0 · source§

fn min(self, other: Self) -> Selfwhere Self: Sized,

Compares and returns the minimum of two values. Read more
1.50.0 · source§

fn clamp(self, min: Self, max: Self) -> Selfwhere Self: Sized + PartialOrd<Self>,

Restrict a value to a certain interval. Read more
source§

impl<T: PartialEq + Default + Ord, Op: PartialEq + PrefixOp<T>> PartialEq<FenwickTree<T, Op>> for FenwickTree<T, Op>

source§

fn eq(&self, other: &FenwickTree<T, Op>) -> bool

This method tests for self and other values to be equal, and is used by ==.
1.0.0 · source§

fn ne(&self, other: &Rhs) -> bool

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
source§

impl<T: PartialOrd + Default + Ord, Op: PartialOrd + PrefixOp<T>> PartialOrd<FenwickTree<T, Op>> for FenwickTree<T, Op>

source§

fn partial_cmp(&self, other: &FenwickTree<T, Op>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists. Read more
1.0.0 · source§

fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator. Read more
1.0.0 · source§

fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more
1.0.0 · source§

fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator. Read more
1.0.0 · source§

fn ge(&self, other: &Rhs) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more
source§

impl<T, Op: PrefixOp<T>> Serialize for FenwickTree<T, Op>where T: Serialize + Default + Ord,

source§

fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>where __S: Serializer,

Serialize this value into the given Serde serializer. Read more
source§

impl<T: Eq + Default + Ord, Op: Eq + PrefixOp<T>> Eq for FenwickTree<T, Op>

source§

impl<T: Default + Ord, Op: PrefixOp<T>> StructuralEq for FenwickTree<T, Op>

source§

impl<T: Default + Ord, Op: PrefixOp<T>> StructuralPartialEq for FenwickTree<T, Op>

Auto Trait Implementations§

§

impl<T, Op> RefUnwindSafe for FenwickTree<T, Op>where Op: RefUnwindSafe, T: RefUnwindSafe,

§

impl<T, Op> Send for FenwickTree<T, Op>where Op: Send, T: Send,

§

impl<T, Op> Sync for FenwickTree<T, Op>where Op: Sync, T: Sync,

§

impl<T, Op> Unpin for FenwickTree<T, Op>where Op: Unpin, T: Unpin,

§

impl<T, Op> UnwindSafe for FenwickTree<T, Op>where Op: UnwindSafe, T: UnwindSafe,

Blanket Implementations§

source§

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

source§

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
source§

impl<T> Borrow<T> for Twhere T: ?Sized,

source§

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
source§

impl<T> BorrowMut<T> for Twhere T: ?Sized,

source§

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

Mutably borrows from an owned value. Read more
source§

impl<Q, K> Equivalent<K> for Qwhere Q: Eq + ?Sized, K: Borrow<Q> + ?Sized,

source§

fn equivalent(&self, key: &K) -> bool

Compare self to key and return true if they are equal.
source§

impl<T> From<T> for T

source§

fn from(t: T) -> T

Returns the argument unchanged.

source§

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

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.

source§

impl<T> Same<T> for T

§

type Output = T

Should always be Self
§

impl<SS, SP> SupersetOf<SS> for SPwhere SS: SubsetOf<SP>,

§

fn to_subset(&self) -> Option<SS>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more
§

fn is_in_subset(&self) -> bool

Checks if self is actually part of its subset T (and can be converted to it).
§

fn to_subset_unchecked(&self) -> SS

Use with care! Same as self.to_subset but without any property checks. Always succeeds.
§

fn from_subset(element: &SS) -> SP

The inclusion map: converts self to the equivalent element of its superset.
source§

impl<T> ToOwned for Twhere T: Clone,

§

type Owned = T

The resulting type after obtaining ownership.
source§

fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
source§

fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
source§

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

§

type Error = Infallible

The type returned in the event of a conversion error.
source§

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

Performs the conversion.
source§

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

§

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

The type returned in the event of a conversion error.
source§

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

Performs the conversion.
§

impl<V, T> VZip<V> for Twhere V: MultiLane<T>,

§

fn vzip(self) -> V

source§

impl<T> DeserializeOwned for Twhere T: for<'de> Deserialize<'de>,

source§

impl<T> Scalar for Twhere T: 'static + Clone + PartialEq<T> + Debug,