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@MikuroXina
MikuroXina / cum.rs
Last active November 16, 2023 00:13
Find cumulative sum of numbers with Rust.
pub fn cum<T: Default + std::ops::AddAssign + Copy>(
nums: impl IntoIterator<Item = T>,
) -> impl Iterator<Item = T> {
nums.into_iter().scan(T::default(), |state, item| {
*state += item;
Some(*state)
})
}
pub fn cum2<T: Default + std::ops::AddAssign + Copy, NNS, NS>(nums: NNS) -> Vec<Vec<T>>
@MikuroXina
MikuroXina / alt_sum.rs
Created November 5, 2023 23:37
Monoid implementation of alternating sum with Rust.
#[derive(Debug, Clone, Copy, PartialEq, Eq, PartialOrd, Ord, Hash)]
pub struct AltSum {
sum: i64,
len: usize,
}
impl AltSum {
pub fn empty() -> Self {
Self { sum: 0, len: 0 }
}
@MikuroXina
MikuroXina / y.ts
Created October 29, 2023 09:08
Y fixed combinator with TypeScript.
export type Paradoxical<A, R> = (f: Paradoxical<A, R>) => (a: A) => R;
export const Y = <A, R>(f: (g: (a: A) => R) => (a: A) => R): ((a: A) => R) =>
((x: Paradoxical<A, R>) => f((lazy) => x(x)(lazy)))(
(x: Paradoxical<A, R>) => f((lazy) => x(x)(lazy)),
);
@MikuroXina
MikuroXina / inversions.rs
Last active November 8, 2023 01:44
Calculates inversion numbers of sequence with Rust.
pub fn inversions(nums: &[usize]) -> Vec<usize> {
let len = nums.len();
let mut counts = SegTree::<Sum>::new(len);
let mut inversions = Vec::with_capacity(len);
for (i, &num) in nums.into_iter().enumerate() {
let Sum(inv) = counts.query(0..num);
inversions.push(i - inv);
counts.insert(num, Sum(1));
}
inversions
@MikuroXina
MikuroXina / lis.rs
Last active October 24, 2023 12:35
Finding lengths of Longest Increasing Subsequence by its length with Rust.
pub fn longest_increasing_subsequence<T: Ord>(nums: impl IntoIterator<Item = T>) -> Vec<usize> {
let mut nums = nums.into_iter();
let Some(first) = nums.next() else {
return vec![];
};
let mut len_by_using = vec![1];
let mut sorted = vec![first];
for num in nums {
let lower_bound = sorted.binary_search(&num).unwrap_or_else(|idx| idx);
if lower_bound == sorted.len() {
@MikuroXina
MikuroXina / merge.rs
Last active October 24, 2023 08:52
Merges two sorted IntoIterator into a sorted Iterator with Rust.
#[inline]
pub fn merge<T, L, R>(left: L, right: R) -> Merge<T, L::IntoIter, R::IntoIter>
where
T: PartialOrd,
L: IntoIterator<Item = T>,
R: IntoIterator<Item = T>,
{
Merge {
left: left.into_iter().peekable(),
right: right.into_iter().peekable(),
@MikuroXina
MikuroXina / strongly_connected_components.rs
Last active October 19, 2023 06:29
An implementation of extracting strongly connected components with Rust.
pub fn strongly_connected_components(graph: &[Vec<usize>]) -> Vec<Vec<usize>> {
let vertexes = graph.len();
let inv_graph = {
let mut inv_graph = vec![vec![]; vertexes];
for (from, adj) in graph.into_iter().enumerate() {
for &to in adj {
inv_graph[to].push(from);
}
}
inv_graph
@MikuroXina
MikuroXina / backtrack.rs
Last active June 29, 2025 14:20
An implementation of backtracking algorithm with Rust.
use std::collections::HashSet;
/// Monoid must satisfy:
/// ```rs
/// fn test<M: Monoid>(m: M, n: M, l: M) {
/// assert_eq!(m.op(M::ID), m);
/// assert_eq!(M::ID.op(m), m);
/// assert_eq!(m.op(n.op(l)), m.op(n).op(l));
/// }
/// ```
@MikuroXina
MikuroXina / coord_orient.rs
Last active February 3, 2024 14:26
Definition of coordinate and orientation.
#[derive(Debug, Clone, Copy, PartialEq, Eq, Hash)]
pub struct Field {
// both of width and height must ≤ i64::MAX for safety
width: u64,
height: u64,
}
impl Field {
pub fn new(width: u64, height: u64) -> Self {
assert!(
@MikuroXina
MikuroXina / poly.rs
Last active October 1, 2023 10:13
Polyomino structure defintion with Rust.
#[derive(Clone, PartialEq, Eq, Hash)]
struct Poly<const W: usize, const H: usize> {
field: [[bool; W]; H],
}
impl<const W: usize, const H: usize> std::fmt::Debug for Poly<W, H> {
fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
writeln!(f, "\"\"\"")?;
for y in 0..H {
for x in 0..W {