Enum AssignSum

pub enum AssignSum {}

Range Sum Query, a slightly trickier classic application of ARQ. update(l, r, &f) sets all entries a[l..=r] to f. query(l, r) sums all the entries a[l..=r].

Panics

Associated functions will panic on overflow.

Trait Implementations

impl ArqSpec for AssignSum

type S = i64

Type of underlying array elements.

type F = i64

Type of data representing an endomorphism.

fn op(a: &Self::S, b: &Self::S) -> Self::S

Must satisfy the Associative Law: For all a,b,c, op(a, op(b, c)) = op(op(a, b), c)

fn identity() -> Self::S

Must satisfy the Identity Law: For all a, op(a, identity()) = op(identity(), a) = a

fn compose(f: &Self::F, _: &Self::F) -> Self::F

Must satisfy the Composition Law: For all f,g,a, apply(compose(f, g), a) = apply(f, apply(g, a))

fn apply(f: &Self::F, _: &Self::S, size: i64) -> Self::S

Must satisfy the Distributive Law: For all f,a,b, apply(f, op(a, b), s+t) = op(apply(f, a, s), apply(f, b, t)) The size parameter makes this law easier to satisfy in certain cases.