Trees
Building your tree…
Initializing Sorting Algorithms...
Sorting
Trees
Graphs
Preparing interactive visualizations...
Trees
Building your tree…
Hierarchical data structures that power databases, file systems, and compilers. Watch insertions, rotations, and queries unfold node by node.
Insert, search, and delete nodes while maintaining the BST ordering property.
O(log n) avgO(n)Tree TraversalSelf-balancing BST that uses rotations (LL, RR, LR, RL) to keep height at O(log n).
O(log n)O(n)RotationsVisualize Inorder, Preorder, Postorder, and Level-Order traversals with a live call-stack panel.
O(n)O(h)DFS / BFSRange queries and point updates in O(log n) by partitioning the array into tree segments.
O(log n)O(n)Range QueryPrefix tree for fast word insert, search, and autocomplete — each edge is one character.
O(L)O(N·L·A)Prefix TreeFilesystems, DOM, compilers, and databases all use tree structures internally.
Balanced trees cut O(n) linear scans down to O(log n), the difference between milliseconds and seconds at scale.
Heaps, tries, segment trees, and B-trees all build on core tree principles mastered here.