trait GroupFenwickTree[K, V] extends MonoidFenwickTree[K, V] with GroupFenwickTreeOps[K, V, GroupFenwickTree[K, V]]
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- GroupFenwickTree
- GroupFenwickTreeOps
- MonoidFenwickTree
- MonoidFenwickTreeOps
- SemigroupFenwickTree
- SemigroupFenwickTreeOps
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Abstract Value Members
- abstract def apply(index: K): V
Returns the element at the given index
Returns the element at the given index
- Definition Classes
- GroupFenwickTreeOps
- Exceptions thrown
java.lang.IndexOutOfBoundsException
ifindex
is less thanzero
or greater than or equal tosize
- Note
Time Complexity: O(log N)
- abstract def combined(index: K, value: V): GroupFenwickTree[K, V]
Updates the element at the given index to the given value
Updates the element at the given index to the given value
- Definition Classes
- SemigroupFenwickTreeOps
- Exceptions thrown
java.lang.IndexOutOfBoundsException
ifindex
is less thanzero
or greater than or equal tosize
- Note
Time Complexity: O(log N)
- abstract def foldRange(from: K, until: K): V
Folds elements in the given range [
from
,until
)Folds elements in the given range [
from
,until
)- Definition Classes
- GroupFenwickTreeOps
- Exceptions thrown
- if
from
is less thanzero
or greater than or equal tosize
- if
until
is less thanzero
or greater thansize
- if
- Note
Time Complexity: O(log N)
- abstract def foldTo(to: K): V
Folds elements in the given range [
zero
,to
]Folds elements in the given range [
zero
,to
]- Definition Classes
- MonoidFenwickTreeOps
- Exceptions thrown
java.lang.IndexOutOfBoundsException
ifto
is less thanzero
or greater than or equal tosize
- Note
Time Complexity: O(log N)
- abstract def foldUntil(until: K): V
Folds elements in the given range [
zero
,until
)Folds elements in the given range [
zero
,until
)- Definition Classes
- MonoidFenwickTreeOps
- Exceptions thrown
java.lang.IndexOutOfBoundsException
ifuntil
is less thanzero
or greater thansize
- Note
Time Complexity: O(log N)
- implicit abstract def group: CommutativeGroup[V]
- Definition Classes
- GroupFenwickTreeOps
- implicit abstract def monoid: CommutativeMonoid[V]
- Definition Classes
- MonoidFenwickTreeOps
- abstract def reduceTo(to: K): V
Reduces elements in the given range [
zero
,to
]Reduces elements in the given range [
zero
,to
]- Definition Classes
- SemigroupFenwickTreeOps
- Exceptions thrown
java.lang.IndexOutOfBoundsException
ifto
is less thanzero
or greater than or equal tosize
- Note
Time Complexity: O(log N)
- abstract def reduceUntil(until: K): V
Reduces elements in the given range [
zero
,until
)Reduces elements in the given range [
zero
,until
)- Definition Classes
- SemigroupFenwickTreeOps
- Exceptions thrown
java.lang.IndexOutOfBoundsException
ifuntil
is less thanzero
or greater thansize
- Note
Time Complexity: O(log N)
- implicit abstract def semigroup: CommutativeSemigroup[V]
- Definition Classes
- SemigroupFenwickTreeOps
- abstract def size: K
Returns the size of this tree
Returns the size of this tree
- Definition Classes
- SemigroupFenwickTreeOps
- Note
Time Complexity: O(1)
- abstract def updated(index: K, value: V): GroupFenwickTree[K, V]
Updates the element at the given index to the given value
Updates the element at the given index to the given value
- Definition Classes
- GroupFenwickTreeOps
- Exceptions thrown
java.lang.IndexOutOfBoundsException
ifindex
is less thanzero
or greater than or equal tosize
- Note
Time Complexity: O(log N)
- abstract def zero: K
Returns the zero
Returns the zero
- Definition Classes
- SemigroupFenwickTreeOps
- Note
Time Complexity: O(1)
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