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Notes, canonical problems, and template code are not written yet. -::: - -## Patterns - -- [Two Pointers](/guides/coding/contiguous-linear/two-pointers) — Converging/parallel index walk that prunes the O(n^2) pair space using order. -- [Sliding Window](/guides/coding/contiguous-linear/sliding-window) — Two pointers plus incremental state between them. -- [Prefix Sum](/guides/coding/contiguous-linear/prefix-sum) — Precomputed cumulative state for O(1) range queries. -- [Binary Search](/guides/coding/contiguous-linear/binary-search) — Halving over any monotonic predicate, not just sorted arrays. -- [Matrices](/guides/coding/contiguous-linear/matrices) — 2D index arithmetic; often a graph in disguise. - -**Systems anchor:** Prefix sum is a materialized view; sliding window is stream processing with an eviction policy. diff --git a/docs/content/01-coding/01-arrays-and-strings/03-reverse-string.mdx b/docs/content/01-coding/01-arrays-and-strings/03-reverse-string.mdx deleted file mode 100644 index 8b9e564..0000000 --- a/docs/content/01-coding/01-arrays-and-strings/03-reverse-string.mdx +++ /dev/null @@ -1,4 +0,0 @@ ---- -sidebar: - icon: circle-question-mark ---- diff --git a/docs/content/01-coding/01-arrays-and-strings/12-common-patterns.mdx b/docs/content/01-coding/01-arrays-and-strings/12-common-patterns.mdx deleted file mode 100644 index 1890f79..0000000 --- a/docs/content/01-coding/01-arrays-and-strings/12-common-patterns.mdx +++ /dev/null @@ -1,10 +0,0 @@ ---- -title: 'Common Patterns' -description: 'Precomputed cumulative state for O(1) range queries.' -sidebar: - icon: star ---- - -:::warning[Under construction] -This page is a scaffold. Notes, canonical problems, and template code are not written yet. -::: diff --git a/docs/content/01-coding/index.mdx b/docs/content/01-coding/index.mdx deleted file mode 100644 index 13ac236..0000000 --- a/docs/content/01-coding/index.mdx +++ /dev/null @@ -1,97 +0,0 @@ ---- -title: 'Coding' -description: 'There are only 6 structural families. Every pattern is a traversal or maintenance strategy over one of them.' -sidebar: - label: Introduction - order: 1 - icon: power ---- - - -## Family 1 — Contiguous Linear (arrays, strings) -*Structure property: O(1) index access, order is information.* - -| Pattern | What it really is | Recognition triggers | -|---|---|---| -| **Two Pointers** (7) | Converging/parallel index walk that prunes the O(n²) pair space using order | Sorted input · pair/triplet with target · palindrome · in-place partition | -| **Sliding Window** (5) | Two pointers + incremental state between them (Two Pointers with a payload) | "Longest/shortest substring/subarray with property X" · contiguous constraint | -| **Prefix Sum** (2) | Precomputed cumulative state → O(1) range queries | "Sum of range" · "subarray sum equals K" · repeated interval aggregation | -| **Binary Search** (5) | Halving over ANY monotonic predicate — not just sorted arrays | Sorted/rotated input · "minimize the maximum" · answer space is monotonic (Koko) | -| **Matrices** (3) | 2D index arithmetic; often a graph in disguise | Grid traversal/rotation/spiral · if cells have neighbors → it's Family 5 | - -**Systems anchor:** prefix sum is a materialized view; sliding window is stream processing with an eviction policy. - -## Family 2 — Nodal Linear (linked lists) -*Structure property: O(1) splice, no random access. Everything is pointer surgery.* - -| Pattern | What it really is | Recognition triggers | -|---|---|---| -| **Linked List** (5) | Three moves cover it all: fast/slow runners, reversal, dummy-head splicing | Cycle detection · middle/Nth-from-end · reverse/reorder · merge | - -**Systems anchor:** LRU Cache = hashmap + doubly-linked list — the one hybrid that appears constantly (it's a cache eviction index). - -## Family 3 — Auxiliary Ordering Structures (stack, heap) -*Structure property: you don't traverse them — you maintain them while traversing something else.* - -| Pattern | What it really is | Recognition triggers | -|---|---|---| -| **Stack** (5) | LIFO memory of "unresolved" items; monotonic stack = discard dominated candidates | Matching/nesting (parens) · "next greater element" · "previous smaller" · expression eval | -| **Heap** (5) | Partial order — cheap access to extremum without full sort | "Kth largest/smallest" · "top K" · merge K streams · running median (two heaps) | - -**Systems anchor:** monotonic stack ≈ log compaction (drop entries superseded by newer state); heap ≈ priority scheduling / Dijkstra's frontier / timer wheels. - -## Family 4 — Hierarchical (trees, tries) -*Structure property: recursive shape — every node roots a subtree. Solutions are recurrences.* - -| Pattern | What it really is | Recognition triggers | -|---|---|---| -| **DFS on trees** (part of 13) | Post/pre/in-order recursion; answer composed from subtree answers | "Max depth / diameter / LCA / validate" · anything defined recursively | -| **BFS on trees** (part of 8) | Level-order via queue | "Level by level" · "right side view" · minimum depth | -| **Trie** (2) | Character-indexed tree; shared prefixes = shared paths | Prefix search · autocomplete · word dictionaries · many-string matching | -| **BST specifically** | Sorted array in tree form — in-order traversal IS sorted order | "Kth smallest in BST" · range queries · validate | - -**Systems anchor:** trie ≈ radix routing table / IPLD path resolution; BST invariant ≈ index B-tree. - -## Family 5 — Relational (graphs) -*Structure property: arbitrary edges; must track visited. Trees are just acyclic connected graphs — same traversals, plus bookkeeping.* - -| Pattern | What it really is | Recognition triggers | -|---|---|---| -| **DFS on graphs** (13) | Exhaustive reachability; recursion + visited set | Islands/regions/flood fill · connectivity · cycle detection (directed: 3-color) | -| **BFS on graphs** (8) | Frontier expansion → **shortest path in unweighted graphs, always** | "Minimum steps/moves" · multi-source spread (rotting oranges) · word ladder | -| **Graphs** (6): Topological sort | DFS post-order reversed / Kahn's in-degree queue over a DAG | Dependencies · prerequisites · build order · "valid ordering exists?" | -| **Graphs** (6): Union-Find | Incremental connectivity without traversal | Dynamic "same component?" queries · redundant edge · counting components | - -**Systems anchor:** topo sort = dependency resolution (your Turborepo build graph); union-find = partition detection; BFS = gossip propagation. A matrix with neighbor-moves is ALWAYS this family, not Family 1. - -## Family 6 — Decision-Space (implicit graphs you build while exploring) -*Structure property: nodes are STATES, not data. The structure doesn't exist until you walk it.* - -| Pattern | What it really is | Recognition triggers | -|---|---|---| -| **Backtracking** (6) | DFS over the state tree with undo; exhaustive enumeration | "All subsets/permutations/combinations" · constraint satisfaction · "generate all valid X" | -| **Dynamic Programming** (10) | Backtracking + memoization — overlapping subproblems collapse the exponential tree | "Count ways" · "min/max cost to reach" · choices with shared substructure · optimal substructure | -| **Greedy** (5) | DP where the local optimum provably suffices — no memo needed | Sort-then-commit works · exchange argument holds · intervals scheduling · jump game | - -**Systems anchor:** DP memo = idempotency cache over a deterministic state machine; backtracking = saga with compensating undo; greedy = eventually-consistent local decisions that provably converge. - ---- - -## The Recognition Decision Tree (run this in the first 2 minutes — rubric axis #1) - -1. **Contiguous array/string, no neighbor semantics?** → Family 1. Sorted or monotonic answer space → Binary Search. Pair/window constraint → Two/Sliding. Range sums → Prefix. -2. **Nodes with next-pointers?** → Family 2. Reach for fast/slow or dummy-head before anything clever. -3. **Need "next greater," nesting, or top-K while scanning?** → Family 3 auxiliary structure on top of whatever you're traversing. -4. **Recursive shape (tree/prefix data)?** → Family 4. Ask: does the answer compose from subtrees (DFS) or from levels (BFS)? -5. **Arbitrary connections, grids with movement, dependencies?** → Family 5. Unweighted shortest = BFS. Ordering over DAG = topo. Dynamic connectivity = union-find. Otherwise DFS. -6. **Enumerate or optimize over CHOICES?** → Family 6. All solutions → backtracking. Overlapping subproblems → DP. Provable local choice → greedy. - -## The Escalation Lattice (when stuck, patterns upgrade along these edges) - -- Two Pointers —*add state*→ Sliding Window —*add aggregation*→ Prefix Sum -- Brute-force scan —*monotonic predicate*→ Binary Search on answer -- Tree DFS —*add visited set*→ Graph DFS —*add undo*→ Backtracking —*add memo*→ DP —*add proof*→ Greedy -- Sort —*need only extremum*→ Heap —*need running extremes*→ Monotonic Stack -- BFS —*add weights*→ Dijkstra (= BFS with a heap: Families 3+5 composed) - -Memorize the lattice, not 16 patterns. In the interview, naming the family out loud ("this is a state-space problem, so backtracking or DP depending on overlap") IS the recognition signal the rubric scores. diff --git a/docs/content/02-arrays-and-strings/01-introduction.mdx b/docs/content/02-arrays-and-strings/01-introduction.mdx new file mode 100644 index 0000000..a1d55ed --- /dev/null +++ b/docs/content/02-arrays-and-strings/01-introduction.mdx @@ -0,0 +1,66 @@ +--- +title: 'Arrays and Strings' +description: 'In algorithms, arrays and strings are very similar. They are both ordered collections of elements. The difference is that arrays are mutable, while strings are immutable.' +sidebar: + icon: play + label: Introduction +--- + + +Technically, an array can't be resized. A dynamic array, or list, can be. In the context of algorithm problems, usually when people talk about arrays, they are referring to dynamic arrays. In this entire course, we will be talking about dynamic arrays/lists, but we will just use the word "array". + +## Time Complexity + +Arrays and strings are both ordered collections of elements. The difference is that arrays are mutable, while strings are immutable. + +| Operation | Array/List | String(Immutable) | +| --------- | ---------- | ----------------- | +| Appending to end | *O(1) | O(n) | +| Popping from end | O(1) | O(n) | +| Insertion, not from end | O(n) | O(n) | +| Deletion, not from end | O(n) | O(n) | +| Modifying an element | O(1) | O(n) | +| Random access | *O(1) | O(n) | +| Checking if an element exists | O(1) | O(n) | + +:::note[Clarification 1] +Appending to the end of a list is amortized O(1) time complexity. This means that the time complexity of appending to the end of a list is the same as the time complexity of appending to the end of an array. +::: + +:::note[Clarification 2] +Random access in this context means that you can access an element at any index in constant time. +::: + +## Patterns + + + + + + + + + + + + + + + + + + + + diff --git a/docs/content/01-coding/01-arrays-and-strings/02-two-pointers.mdx b/docs/content/02-arrays-and-strings/02-two-pointers.mdx similarity index 53% rename from docs/content/01-coding/01-arrays-and-strings/02-two-pointers.mdx rename to docs/content/02-arrays-and-strings/02-two-pointers.mdx index 583533c..f1bdf95 100644 --- a/docs/content/01-coding/01-arrays-and-strings/02-two-pointers.mdx +++ b/docs/content/02-arrays-and-strings/02-two-pointers.mdx @@ -8,3 +8,17 @@ sidebar: :::warning[Under construction] This page is a scaffold. Notes, canonical problems, and template code are not written yet. ::: + +## Concepts + + + + +## Problems + + + + + + + diff --git a/docs/content/01-coding/01-arrays-and-strings/05-sliding-window.mdx b/docs/content/02-arrays-and-strings/03-sliding-window.mdx similarity index 100% rename from docs/content/01-coding/01-arrays-and-strings/05-sliding-window.mdx rename to docs/content/02-arrays-and-strings/03-sliding-window.mdx diff --git a/docs/content/01-coding/01-arrays-and-strings/08-prefix-sum.mdx b/docs/content/02-arrays-and-strings/04-prefix-sum.mdx similarity index 100% rename from docs/content/01-coding/01-arrays-and-strings/08-prefix-sum.mdx rename to docs/content/02-arrays-and-strings/04-prefix-sum.mdx diff --git a/docs/content/01-coding/01-arrays-and-strings/meta.ts b/docs/content/02-arrays-and-strings/meta.ts similarity index 100% rename from docs/content/01-coding/01-arrays-and-strings/meta.ts rename to docs/content/02-arrays-and-strings/meta.ts diff --git a/docs/content/index.mdx b/docs/content/index.mdx index 60c50cf..06bdc26 100644 --- a/docs/content/index.mdx +++ b/docs/content/index.mdx @@ -1,8 +1,8 @@ --- -title: Goals +title: Getting Started description: Welcome to your new Blume docs. sidebar: - icon: crosshair + icon: home --- ## Coding Patterns diff --git a/docs/content/problems/(two-pointers)/01-reverse-string.mdx b/docs/content/problems/(two-pointers)/01-reverse-string.mdx new file mode 100644 index 0000000..aac8c6b --- /dev/null +++ b/docs/content/problems/(two-pointers)/01-reverse-string.mdx @@ -0,0 +1,5 @@ +--- +sidebar: + icon: code + badge: '344' +--- diff --git a/docs/content/problems/(two-pointers)/02-squares-of-a-sorted-array.mdx b/docs/content/problems/(two-pointers)/02-squares-of-a-sorted-array.mdx new file mode 100644 index 0000000..f893cee --- /dev/null +++ b/docs/content/problems/(two-pointers)/02-squares-of-a-sorted-array.mdx @@ -0,0 +1,5 @@ +--- +sidebar: + icon: code + badge: '977' +--- diff --git a/docs/content/01-coding/meta.ts b/docs/content/schedule/meta.ts similarity index 62% rename from docs/content/01-coding/meta.ts rename to docs/content/schedule/meta.ts index c071a50..db581ae 100644 --- a/docs/content/01-coding/meta.ts +++ b/docs/content/schedule/meta.ts @@ -1,9 +1,9 @@ import { defineMeta } from "blume"; export default defineMeta({ - title: "Coding", + title: "Schedule", order: 1, collapsed: true, - icon: "code-xml", - display: "page", + display: "group", + icon: "calendar", }); diff --git a/docs/package.json b/docs/package.json index d0ebee7..fb547bc 100644 --- a/docs/package.json +++ b/docs/package.json @@ -9,7 +9,7 @@ "deploy": "wrangler deploy" }, "dependencies": { - "blume": "file:./vendor/blume-1.4.3-master.b62d4ee.tgz" + "blume": "^1.5.1" }, "devDependencies": { "wrangler": "^4" diff --git a/docs/vendor/blume-1.4.3-master.b62d4ee.tgz b/docs/vendor/blume-1.4.3-master.b62d4ee.tgz deleted file mode 100644 index 6c7e729..0000000 Binary files a/docs/vendor/blume-1.4.3-master.b62d4ee.tgz and /dev/null differ diff --git a/docs/wrangler.jsonc b/docs/wrangler.jsonc index ffdb176..0f1337e 100644 --- a/docs/wrangler.jsonc +++ b/docs/wrangler.jsonc @@ -11,7 +11,7 @@ }, "routes": [ { - "pattern": "od.prad.codes", + "pattern": "leetcode.wtf", "custom_domain": true } ],