Use one bounded CS branch where visible list work grows into one coherent graph-traversal bench, so sorting, binary search, adjacency, BFS, DFS, and visited-state behavior stay on compact live surfaces.
This topic stays deliberately bounded, but it now has a fuller process story. Sorting and Algorithmic Trade-offs keeps visible list work concrete first, Binary Search / Halving the Search Space reuses that same search language on ordered data, and the graph branch then moves into adjacency, breadth-first search, depth-first search, and frontier-versus-visited bookkeeping without pretending the site is becoming a full algorithms course.
Best first concepts
The topic page keeps these starts in their own compact row so the first screen is about orientation and next action, not stacked feature cards.
Watch sorting as visible work on a live list so input order, comparisons, and writes stay concrete instead of collapsing into one final answer.
Sorting as visible work
Strong first stop for getting into this topic without scanning the whole library.
Keep an ordered list, the low-mid-high markers, and the shrinking interval visible together so binary search feels visual instead of procedural.
Halving an ordered interval
Strong first stop for getting into this topic without scanning the whole library.
Keep one live graph, one local neighborhood, and one frontier cue visible together so graph structure feels readable before traversal rules get formal.
Graph neighborhoods and adjacency
Strong first stop for getting into this topic without scanning the whole library.
Keep the queue frontier, visited count, and graph layers visible together so breadth-first search reads as a layered process instead of a procedure list.
Layered frontier search
Strong first stop for getting into this topic without scanning the whole library.
Specific learning goals
These goal cards stay authored and transparent. They reuse the current topic page, starter tracks, guided collections, concept bundles, and progress cues instead of adding a separate recommendation system on top of this branch.
Use the algorithms-and-search topic route, the new playlist, the compact starter track, and the frontier-state revisit so the CS branch stays bounded while it grows into graph traversal.
Primary move
Open topic route
No saved progress yet inside Algorithms and Search.
Entry diagnostic
Start from the opening step
No saved diagnostic checks are available yet, so the opening step is still the best entry into the collection.
Reuses the guided collection entry for Algorithms and Search Playlist, with 0 of 2 probes already ready.
No saved progress yet inside Algorithms and Search.
Open the algorithms-and-search topic route is the next guided collection step.
Sorting and Algorithmic Trade-offs opens this track and sets up the rest of the path.
No saved progress yet for Frontier and Visited State on Graphs.
Grouped concept overview
Each group is authored in the topic catalog, but the actual concepts, progress badges, and track cues still come from the canonical concept metadata and shared progress model.
Group 01
Start with one live list where comparisons, writes, and remaining disorder stay visible together.
把排序看成對即時列表的可見工作，使輸入順序、比較次數與寫入動作都保持具體，而不是只剩最後答案。
Strong first stop for getting into this topic without scanning the whole library.
Group 02
Then reuse the same list language while low, mid, and high keep shrinking an ordered interval.
把有序列表、low-mid-high 標記與不斷縮小的區間一起留在視野中，讓二分搜尋變得可視，而不只是流程步驟。
Strong first stop for getting into this topic without scanning the whole library.
Group 03
Then carry the branch into one bounded graph bench where adjacency, queue-frontier BFS, stack-frontier DFS, and frontier-versus-visited bookkeeping can all be compared without leaving the same live graph.
把同一張即時圖、局部鄰域與前沿提示一起保留，讓圖結構在正式談遍歷規則前就已經可讀。
Strong first stop for getting into this topic without scanning the whole library.
把佇列前沿、已訪計數與圖層一起顯示，讓廣度優先搜尋讀起來像分層推進的過程，而不是步驟清單。
Strong first stop for getting into this topic without scanning the whole library.
把重複略過、等待中的前沿節點與已展開節點一起顯示，讓循環處理看起來像誠實的狀態管理。