Trees & SearchD2Phase 2prefix-treeinsertlookup

Trie Operations

Prefix tree operations showcasing branching and shared-prefix structure.

Easy Explanation

Trie operations store words by shared prefixes, making prefix searches and autocomplete efficient.

Visualizer

O(1)Trie Operations

Deterministic trie insertion and query playback with node creation, character traversal, and terminal markers.

Words / Queries

0 / 0

Nodes

Hits

s:0 p:0

Result

Processing

Ready

Press Play or Step to start execution.

Current Traversal

n/a

Words

n/a

Queries

n/a

node 0 depth 0 parent root

<root>

Parameters

Placeholder

Parameter schema and validation are enabled for Binary Search, BFS, Bidirectional BFS, DFS, Dijkstra, A*, Bubble Sort, Quick Sort, Heap Sort, Topological Sort, Union-Find, Kruskal MST, Prim MST, Bellman-Ford, BST Operations, AVL Rotations, Selection Sort, Counting Sort, Insertion Sort, Merge Sort, Invert Binary Tree, and Trie Operations in this milestone.

Other algorithms keep scaffolded controls until their engines are implemented.

Complexity

Param Aware

Time and space complexity with current-run context derived from normalized params and input size.

Best Time

O(1)

Average Time

O(total chars)

Worst Time

O(total chars)

Space

O(total chars)

Current Run

O(1) on this run

Words=0 (0 chars), queries=0 (0 chars)

Trie insert/search/prefix walk each character once per token

Observed created/terminal nodes: pending

Observed query hits: pending

Complexity updates when params regenerate the deterministic run.

Trie Operations Implementation

Pseudocode + TypeScript

Reference implementation examples are intentionally abstracted from the playback engine so learners can map concepts to code.

pseudocode

function insert(root, word):
  node <- root
  for each char in word:
    if char not in node.children:
      node.children[char] <- new TrieNode()
    node <- node.children[char]
  node.isTerminal <- true

function search(root, word):
  node <- root
  for each char in word:
    if char not in node.children:
      return false
    node <- node.children[char]
  return node.isTerminal

function startsWith(root, prefix):
  node <- root
  for each char in prefix:
    if char not in node.children:
      return false
    node <- node.children[char]
  return true

1.00xNo Run