#array #rotate #algorithm

sorted-rotated

Finds a number in a sorted and rotated list in O(logN) time

2 releases

0.1.1 Jul 30, 2021
0.1.0 Jul 30, 2021

#2586 in Algorithms

MIT license

8KB
95 lines

sorted_rotated

Suppose you have a sorted, then rotated list of numbers, It will find the number you searching in O(logN) time.

The crate will not fail if the list is not rotated, or it has duplicate items. In this case it will travel the list twice, causing some performance drop. But it will surely fail if the list is not sorted (in ascending order).

The method is simple: perform a binary search to find the pivot, then minimize the range for binary search to find your desired number. If there's no pivot it will simply do binary search on the list again.

In both cases, it returns an Option type either with the index of the found number or None. So you have to explicitly set up match arms to extract the value.

Quick Start

fn main() {
    let list: Vec<i32> = vec![5, 6, 1, 2, 3, 4];

    // Or an array can be used as well:
    let list: [i32; 6] = [5, 6, 1, 2, 3, 4];

    let desired: i32 = 2;
    
    let mut element = Elements::new(list, desired);
    
    match element.find_pivot().find_desired().result() {
        Some(idx) => println!("index: {}", idx),
        None => println!("Not found"),
    }
}

No runtime deps