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DSA Rustprogramming~20 mins

Autocomplete System with Trie in DSA Rust - Practice Problems & Challenges

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Challenge - 5 Problems
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❓ Predict Output
intermediate
2:00remaining
Output of inserting words into a Trie
What is the printed state of the Trie nodes after inserting the words ["cat", "car", "cart"]?
DSA Rust
struct TrieNode {
    children: std::collections::HashMap<char, TrieNode>,
    is_end: bool,
}

impl TrieNode {
    fn new() -> Self {
        TrieNode {
            children: std::collections::HashMap::new(),
            is_end: false,
        }
    }
}

struct Trie {
    root: TrieNode,
}

impl Trie {
    fn new() -> Self {
        Trie {
            root: TrieNode::new(),
        }
    }

    fn insert(&mut self, word: &str) {
        let mut node = &mut self.root;
        for ch in word.chars() {
            node = node.children.entry(ch).or_insert(TrieNode::new());
        }
        node.is_end = true;
    }

    fn print(&self) {
        fn dfs(node: &TrieNode, prefix: String) {
            if node.is_end {
                println!("{}", prefix);
            }
            let mut keys: Vec<_> = node.children.keys().collect();
            keys.sort();
            for ch in keys {
                dfs(&node.children[ch], format!("{}{}", prefix, ch));
            }
        }
        dfs(&self.root, String::new());
    }
}

fn main() {
    let mut trie = Trie::new();
    trie.insert("cat");
    trie.insert("car");
    trie.insert("cart");
    trie.print();
}
A
car
cart
cat
B
cat
cart
car
C
cart
car
cat
D
cat
car
cart
Attempts:
2 left
💡 Hint
The print function does a depth-first search in alphabetical order of children.
🧠 Conceptual
intermediate
1:30remaining
Number of nodes in a Trie after insertions
After inserting the words ["dog", "dot", "dove"] into an empty Trie, how many nodes does the Trie contain?
A7
B8
C9
D6
Attempts:
2 left
💡 Hint
Count nodes for shared prefixes only once.
🔧 Debug
advanced
2:30remaining
Why does this autocomplete function return empty results?
Given this autocomplete function in a Trie, why does it always return an empty list for any prefix?
DSA Rust
fn autocomplete(trie: &Trie, prefix: &str) -> Vec<String> {
    let mut node = &trie.root;
    for ch in prefix.chars() {
        if !node.children.contains_key(&ch) {
            return vec![];
        }
        node = node.children.get(&ch).unwrap();
    }
    let mut results = vec![];
    fn dfs(node: &TrieNode, prefix: String, results: &mut Vec<String>) {
        if node.is_end {
            results.push(prefix.clone());
        }
        for (ch, child) in &node.children {
            dfs(child, prefix.clone() + &ch.to_string(), results);
        }
    }
    dfs(node, prefix.to_string(), &mut results);
    results
}

// Assume Trie and TrieNode are defined as usual.
AThe prefix string is cloned incorrectly causing empty results.
BThe dfs function shadows the outer prefix variable causing no words to be added.
CThe function uses immutable references incorrectly causing early return.
DThe node variable is immutable and cannot be reassigned inside the loop.
Attempts:
2 left
💡 Hint
Look at how prefix is passed and modified inside dfs.
📝 Syntax
advanced
1:30remaining
Identify the syntax error in this Trie insertion code
Which option contains the correct Rust syntax to insert a word into a Trie?
DSA Rust
fn insert(&mut self, word: &str) {
    let mut node = &mut self.root;
    for ch in word.chars() {
        node = node.children.entry(ch).or_insert(TrieNode::new());
    }
    node.is_end = true;
}
Anode = node.children.entry(ch).or_insert_with(TrieNode::new);
Bnode = node.children.entry(ch).or_insert(TrieNode.new());
Cnode = node.children.entry(ch).or_insert(TrieNode::new());
Dnode = node.children.entry(ch).or_insert(TrieNode());
Attempts:
2 left
💡 Hint
Rust uses or_insert_with for lazy initialization with functions.
🚀 Application
expert
3:00remaining
Predict the autocomplete suggestions for prefix "app"
Given a Trie containing the words ["apple", "app", "application", "apt", "banana"], what is the list of autocomplete suggestions returned for the prefix "app"?
DSA Rust
fn autocomplete(trie: &Trie, prefix: &str) -> Vec<String> {
    let mut node = &trie.root;
    for ch in prefix.chars() {
        if !node.children.contains_key(&ch) {
            return vec![];
        }
        node = node.children.get(&ch).unwrap();
    }
    let mut results = vec![];
    fn dfs(node: &TrieNode, prefix: String, results: &mut Vec<String>) {
        if node.is_end {
            results.push(prefix.clone());
        }
        for (ch, child) in &node.children {
            dfs(child, prefix.clone() + &ch.to_string(), results);
        }
    }
    dfs(node, prefix.to_string(), &mut results);
    results
}

// Assume Trie and TrieNode are defined and words inserted as above.
A["app", "apt", "apple", "application"]
B["apple", "application"]
C["app", "apple", "application"]
D["app", "apt"]
Attempts:
2 left
💡 Hint
Autocomplete returns all words starting with the prefix including the prefix itself if it is a word.

Practice

(1/5)
1. What is the main purpose of using a Trie in an autocomplete system?
easy
A. To sort words alphabetically
B. To count the total number of words
C. To efficiently store and search prefixes of words
D. To reverse the input strings

Solution

  1. Step 1: Understand the role of Trie in prefix search

    A Trie is a tree-like data structure designed to store strings by their prefixes, allowing quick prefix-based searches.
  2. Step 2: Connect Trie usage to autocomplete

    Autocomplete requires finding all words starting with a given prefix efficiently, which a Trie supports well.
  3. Final Answer:

    To efficiently store and search prefixes of words -> Option C
  4. Quick Check:

    Trie = prefix search [OK]
Hint: Trie stores prefixes for fast autocomplete search [OK]
Common Mistakes:
  • Confusing Trie with sorting data structure
  • Thinking Trie counts words only
  • Assuming Trie reverses strings
2. Which of the following is the correct Rust syntax to define a Trie node struct with children as a HashMap and an is_end boolean?
easy
A. struct TrieNode { children: HashMap, is_end: bool }
B. struct TrieNode { children: HashMap, is_end: bool }
C. struct TrieNode { children: Vec<char>, is_end: bool }
D. struct TrieNode { children: HashMap, is_end: bool }

Solution

  1. Step 1: Understand Rust ownership and recursive types

    Rust requires recursive types like TrieNode to use pointers such as Box to avoid infinite size errors.
  2. Step 2: Check each option's children type

    struct TrieNode { children: HashMap, is_end: bool } uses HashMap, which is correct for recursive Trie nodes. struct TrieNode { children: HashMap, is_end: bool } lacks Box, causing compile error. struct TrieNode { children: Vec<char>, is_end: bool } uses Vec<char>, which is incorrect for children mapping. struct TrieNode { children: HashMap, is_end: bool } uses HashMap, which is incorrect because keys should be single chars.
  3. Final Answer:

    struct TrieNode { children: HashMap, is_end: bool } -> Option A
  4. Quick Check:

    Recursive struct needs Box pointer [OK]
Hint: Use Box for recursive struct fields in Rust [OK]
Common Mistakes:
  • Omitting Box causes compile errors
  • Using Vec instead of HashMap for children
  • Using String keys instead of char
3. Given the following Rust code snippet for inserting words into a Trie, what will be the output of searching for prefix "ca"?
let mut trie = Trie::new();
trie.insert("cat");
trie.insert("car");
trie.insert("dog");
let results = trie.search_prefix("ca");
println!("{:?}", results);
medium
A. ["dog"]
B. ["cat", "car"]
C. ["cat"]
D. []

Solution

  1. Step 1: Insert words into Trie

    The words "cat", "car", and "dog" are inserted. "cat" and "car" share prefix "ca".
  2. Step 2: Search for prefix "ca"

    Searching prefix "ca" returns all words starting with "ca", which are "cat" and "car".
  3. Final Answer:

    ["cat", "car"] -> Option B
  4. Quick Check:

    Prefix "ca" matches "cat", "car" [OK]
Hint: Search prefix returns all words starting with it [OK]
Common Mistakes:
  • Returning only one matching word
  • Returning words without the prefix
  • Returning empty list incorrectly
4. Identify the bug in this Rust Trie insertion method snippet:
fn insert(&mut self, word: &str) {
    let mut node = &self.root;
    for ch in word.chars() {
        node = node.children.entry(ch).or_insert(TrieNode::new());
    }
    node.is_end = true;
}
medium
A. word.chars() should be collected into a vector first
B. Use of entry() is incorrect for insertion
C. is_end should be set before the loop
D. node should be mutable reference (&mut) to modify children

Solution

  1. Step 1: Analyze mutability of node reference

    node is assigned as immutable reference &self.root, but children need to be modified, so node must be mutable reference &mut.
  2. Step 2: Understand why mutability is needed for entry()

    entry() modifies the HashMap, so node must be mutable to call entry() and insert new nodes.
  3. Final Answer:

    node should be mutable reference (&mut) to modify children -> Option D
  4. Quick Check:

    Mutable reference needed for insertion [OK]
Hint: Use &mut to modify Trie nodes during insertion [OK]
Common Mistakes:
  • Using immutable reference for mutable operations
  • Setting is_end too early
  • Unnecessary collection of chars
5. You want to extend a Trie-based autocomplete system to return suggestions sorted by frequency of word usage. Which data structure modification is best to support this efficiently?
hard
A. Store a frequency count at each end node and use a max-heap during search
B. Store words in a vector and sort on every search
C. Use a linked list to store words in insertion order
D. Store frequency counts but ignore them during search

Solution

  1. Step 1: Understand frequency storage in Trie nodes

    Storing frequency counts at end nodes tracks how often each word is used.
  2. Step 2: Use max-heap to retrieve top frequent words efficiently

    During prefix search, a max-heap can quickly select highest frequency words without sorting all results.
  3. Final Answer:

    Store a frequency count at each end node and use a max-heap during search -> Option A
  4. Quick Check:

    Frequency + max-heap = efficient top suggestions [OK]
Hint: Use frequency counts + max-heap for fast top suggestions [OK]
Common Mistakes:
  • Sorting all words on every search (slow)
  • Ignoring frequency data
  • Using linked list which is inefficient for sorting
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