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| /// Searches the maximum value of `query` in section between `lower` (exclusive) and `upper` (exclusive). | |
| fn fibonacci_section(lower: usize, upper: usize, mut query: impl FnMut(usize) -> u32) -> u32 { | |
| let n = upper - lower - 1; | |
| if n == 1 { | |
| return query(1); | |
| } | |
| let mut fib = vec![1, 2]; | |
| for i in 2.. { | |
| let next = fib[i - 2] + fib[i - 1]; | |
| if next > n { |
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| /// Design reference: https://zenn.dev/yuhi_junior/articles/062cf4f30b083d | |
| use itertools::Itertools; | |
| use std::cell::RefCell; | |
| use std::rc::Rc; | |
| #[derive(Debug, Clone, PartialEq, Eq)] | |
| pub struct Cell { | |
| has_bomb: bool, | |
| flagged: bool, |
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| #![feature(float_next_up_down)] | |
| //! Source: http://verifiedby.me/adiary/pub/kashi/image/201406/nas2014.pdf | |
| /// Floating point number with mathematical error. | |
| #[derive(Debug, Clone, Copy, PartialEq, PartialOrd)] | |
| pub struct F64E { | |
| /// An actual result by the default rounding mode. | |
| base: f64, | |
| /// Mathematical error for an ideal result. |
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| #[derive(Debug, Clone)] | |
| pub struct Crc32 { | |
| table: [u32; 256], | |
| } | |
| impl Crc32 { | |
| pub const SOURCE: u32 = 0xedb8_8320; | |
| pub fn new() -> Self { | |
| let mut table = [0u32; 256]; |
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| pub fn algorithm_x( | |
| list: &mut DancingLinkedList, | |
| stack: &mut Vec<usize>, | |
| solutions: &mut Vec<Vec<usize>>, | |
| ) { | |
| if list.is_empty() { | |
| solutions.push(stack.clone()); | |
| return; | |
| } |
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| //! The example implementation of full-scratch LR(0) parser, referenced [Wikipedia](https://en.wikipedia.org/wiki/LR_parser). | |
| //! | |
| //! # Rules | |
| //! | |
| //! There are non-terminal terms: Start, Expr and Bool. And there are terminal | |
| //! terms: 0, 1, +. * and $ (end of input). | |
| //! | |
| //! 1. Introduction: `Start :- Expr $` | |
| //! 2. Expr from multiplication: `Expr :- Expr * Bool` | |
| //! 3. Expr from addition: `Expr :- Expr + Bool` |
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| #[derive(Debug, Clone, PartialEq, Eq, Hash)] | |
| struct TrieNode<const L: usize> { | |
| children: [Option<Box<TrieNode<L>>>; L], | |
| // invariant: `words` must not be `0` if `children` is vacant. | |
| words: usize, | |
| } | |
| impl<const L: usize> TrieNode<L> { | |
| fn new() -> Self { | |
| TrieNode { |
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| #[derive(Debug, Clone, PartialEq, Eq)] | |
| pub struct Counter<T: Eq + std::hash::Hash> { | |
| counts: std::collections::HashMap<T, usize>, | |
| } | |
| impl<T, Q> std::ops::Index<&Q> for Counter<T> | |
| where | |
| T: Eq + std::hash::Hash + std::borrow::Borrow<Q>, | |
| Q: Eq + std::hash::Hash + ?Sized, | |
| { |
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| /// Finds `x` where `alpha` ** `x` == `beta`. | |
| pub fn discrete_log<const MOD_1: u64, const MOD: u64>(alpha: ModInt<MOD>, beta: ModInt<MOD>) -> Option<u64> { | |
| assert_eq!(MOD_1 + 1, MOD); | |
| fn step<const MOD_1: u64, const MOD: u64>(alpha: ModInt<MOD>, beta: ModInt<MOD>, x: &mut ModInt<MOD>, a: &mut ModInt<MOD_1>, b: &mut ModInt<MOD_1>) { | |
| match x.as_u64() % 3 { | |
| 0 => { | |
| *x = *x * *x; | |
| *a = *a * 2.into(); | |
| *b = *b * 2.into(); | |
| } |
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| /// Group must satisfy: | |
| /// ```rs | |
| /// fn test<G: Group>(m: G, n: G, l: G) { | |
| /// assert_eq!(m.op(&G::id()), m); | |
| /// assert_eq!(G::id().op(&m), m); | |
| /// assert_eq!(m.op(&n.op(&l)), m.op(&n).op(&l)); | |
| /// assert_eq!(m.op(&m.inv()), G::id()); | |
| /// assert_eq!(m.inv().op(&m), G::id()); | |
| /// } | |
| /// ``` |