find the standard deviation of all nodes in a linked list in rust

To calculate the standard deviation of all nodes in a linked list in Rust, we need to follow these steps:

  1. Traverse through the linked list and collect all the data points into a vector
  2. Calculate the mean of the vector
  3. Calculate the variance of the vector
  4. Calculate the standard deviation from the variance

Here is the Rust code to implement this algorithm:

main.rs
use std::f64;

// Define a struct for the linked list node
struct Node {
    data: f64,
    next: Option<Box<Node>>,
}

// Calculate the standard deviation of all nodes in a linked list
fn std_dev_of_list(head: Option<Box<Node>>) -> f64 {
    let mut lst = Vec::new();

    // Traverse through the linked list and collect all the data points into a vector
    let mut curr_node = head;
    while let Some(node) = curr_node {
        lst.push(node.data);
        curr_node = node.next;
    }

    // Calculate the mean of the vector
    let mean = lst.iter().sum::<f64>() / lst.len() as f64;

    // Calculate the variance of the vector
    let variance = lst.iter()
                      .map(|val| (val - mean).powi(2))
                      .sum::<f64>() / lst.len() as f64;

    // Calculate the standard deviation from the variance
    variance.sqrt()
}

// Example usage
fn main() {
    let n1 = Node { data: 1.0, next: None };
    let n2 = Node { data: 2.0, next: Some(Box::new(n1)) };
    let n3 = Node { data: 3.0, next: Some(Box::new(n2)) };
    let head = Some(Box::new(n3));

    let std_dev = std_dev_of_list(head);
    println!("Standard deviation of all nodes in a linked list is {}", std_dev);
}
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In this implementation, we define a Node struct to represent the linked list node. The std_dev_of_list function takes the head of the linked list as an argument and returns the standard deviation of all the nodes in the list. We use an empty vector to collect all the data points during the traversal, and then calculate the mean and variance of the vector using iterators. Finally, we calculate the standard deviation from the variance using the sqrt method.

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