diff --git a/Docs/.gitignore b/Docs/.gitignore new file mode 100644 index 0000000..f530a66 --- /dev/null +++ b/Docs/.gitignore @@ -0,0 +1,6 @@ +.DS_Store +/node_modules/ + +dist +.source +src/pages.gen.ts diff --git a/Docs/README.md b/Docs/README.md new file mode 100644 index 0000000..b8b5718 --- /dev/null +++ b/Docs/README.md @@ -0,0 +1,9 @@ +# docs + +This is a Fumapress app powered by Waku and Fumadocs. + +## Development + +```sh +npm run dev +``` diff --git a/Docs/bun.lock b/Docs/bun.lock new file mode 100644 index 0000000..ba7e7cf --- /dev/null +++ b/Docs/bun.lock @@ -0,0 +1,836 @@ +{ + "lockfileVersion": 1, + "configVersion": 1, + "workspaces": { + "": { + "name": "docs", + "dependencies": { + "@base-ui/react": "^1.6.0", + "fumadocs-core": "^16.11.1", + "fumadocs-mdx": "^15.1.0", + "fumadocs-ui": "npm:@fumadocs/base-ui@^16.11.1", + "fumapress": "0.7.3", + "react": "^19.2.7", + "react-dom": "^19.2.7", + "react-server-dom-webpack": "^19.2.7", + "waku": "1.0.0-beta.6", + }, + 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"react-server-dom-webpack": "^19.2.7", + "waku": "1.0.0-beta.6" + }, + "devDependencies": { + "@tailwindcss/vite": "^4.3.2", + "@types/mdx": "^2.0.14", + "@types/node": "^26.1.1", + "@types/react": "^19.2.17", + "@types/react-dom": "^19.2.3", + "tailwindcss": "^4.3.2", + "typescript": "^6.0.3" + } +} diff --git a/Docs/press.config.tsx b/Docs/press.config.tsx new file mode 100644 index 0000000..15d1ca5 --- /dev/null +++ b/Docs/press.config.tsx @@ -0,0 +1,29 @@ +import { defineConfig } from "fumapress"; +import { fumadocsMdx } from "fumapress/adapters/mdx"; +import { flexsearchPlugin } from "fumapress/plugins/flexsearch"; +import { llmsPlugin } from "fumapress/plugins/llms.txt"; +import { takumiPlugin } from "fumapress/plugins/takumi"; +import { docs } from "./.source/server"; + +export default defineConfig({ + content: docs.toFumadocsSource(), + site: { + name: "Fumapress", + }, + meta: { + root() { + return ( + <> + + + + + ); + }, + }, +}) + .plugins(flexsearchPlugin(), llmsPlugin(), takumiPlugin()) + .adapters(fumadocsMdx()); diff --git a/Docs/source.config.ts b/Docs/source.config.ts new file mode 100644 index 0000000..9af4f1b --- /dev/null +++ b/Docs/source.config.ts @@ -0,0 +1,16 @@ +import { defineDocs } from "fumadocs-mdx/config"; +import { metaSchema, pageSchema } from "fumapress/adapters/mdx/schema"; + +export const docs = defineDocs({ + dir: "content", + docs: { + async: true, + schema: pageSchema, + postprocess: { + includeProcessedMarkdown: true, + }, + }, + meta: { + schema: metaSchema, + }, +}); diff --git a/Docs/src/app.css b/Docs/src/app.css new file mode 100644 index 0000000..7b0e518 --- /dev/null +++ b/Docs/src/app.css @@ -0,0 +1,9 @@ +@import "tailwindcss"; +@import "fumadocs-ui/css/neutral.css"; +@import "fumadocs-ui/css/preset.css"; +@import "fumapress/css/preset.css"; + +@theme { + --font-mono: "JetBrains Mono", monospace; + --default-font-family: "Geist", sans-serif; +} diff --git a/Docs/tsconfig.json b/Docs/tsconfig.json new file mode 100644 index 0000000..b227866 --- /dev/null +++ b/Docs/tsconfig.json @@ -0,0 +1,26 @@ +{ + "compilerOptions": { + "target": "ES2023", + "lib": [ + "dom", + "dom.iterable", + "ES2023" + ], + "jsx": "react-jsx", + "module": "ESNext", + "moduleResolution": "bundler", + "resolveJsonModule": true, + "allowJs": true, + "checkJs": true, + "esModuleInterop": true, + "forceConsistentCasingInFileNames": true, + "strict": true, + "skipLibCheck": true, + "noUncheckedIndexedAccess": true, + "noEmit": true + }, + "exclude": [ + "node_modules", + "dist" + ] +} diff --git a/Docs/waku.config.ts b/Docs/waku.config.ts new file mode 100644 index 0000000..a9bd36f --- /dev/null +++ b/Docs/waku.config.ts @@ -0,0 +1,10 @@ +import { defineConfig } from "waku/config"; +import tailwindcss from "@tailwindcss/vite"; +import press from "fumapress/vite"; +import mdx from "fumadocs-mdx/vite"; + +export default defineConfig({ + vite: { + plugins: [press(), mdx(), tailwindcss()], + }, +}); diff --git a/Easy/Array/1365.how-many-numbers-are-smaller-than-the-current-number.js b/Easy/Array/1365.how-many-numbers-are-smaller-than-the-current-number.js new file mode 100644 index 0000000..faaded9 --- /dev/null +++ b/Easy/Array/1365.how-many-numbers-are-smaller-than-the-current-number.js @@ -0,0 +1,58 @@ +/* + * 1365. How Many Numbers Are Smaller Than the Current Number + * Difficulty: Easy + * https://leetcode.com/problems/how-many-numbers-are-smaller-than-the-current-number/ + * + * ────────────────────────────────────────────────── + * + * Given the array nums, for each nums[i] find out how many numbers in + * the array are smaller than it. That is, for each nums[i] you have to + * count the number of valid j's such that j != i and nums[j] < nums[i]. + * + * Return the answer in an array. + * + * + * + * Example 1: + * + * Input: nums = [8,1,2,2,3] + * Output: [4,0,1,1,3] + * Explanation: + * For nums[0]=8 there exist four smaller numbers than it (1, 2, 2 and + * 3). + * For nums[1]=1 does not exist any smaller number than it. + * For nums[2]=2 there exist one smaller number than it (1). + * For nums[3]=2 there exist one smaller number than it (1). + * For nums[4]=3 there exist three smaller numbers than it (1, 2 and 2). + * + * Example 2: + * + * Input: nums = [6,5,4,8] + * Output: [2,1,0,3] + * + * Example 3: + * + * Input: nums = [7,7,7,7] + * Output: [0,0,0,0] + * + * + * + * Constraints: + * + * • 2 <= nums.length <= 500 + * + * • 0 <= nums[i] <= 100 + */ + +/** + * @param {number[]} nums + * @return {number[]} + */ + +var smallerNumbersThanCurrent = function (nums) { + // Step 1: count the frequency of each number + const freq = {}; + for (let x of nums) freq[x] = (freq[x] || 0) + 1; + + return nums.map((x) => freq[x] || 0); +}; diff --git a/Easy/Array/1365.md b/Easy/Array/1365.md new file mode 100644 index 0000000..d948d60 --- /dev/null +++ b/Easy/Array/1365.md @@ -0,0 +1,149 @@ +# The Frequency Array + Prefix Sum Pattern + +**Solves:** LeetCode 1365 — How Many Numbers Are Smaller Than the Current Number +**Reusable for:** Any "count elements below/above X" problem where values live in a **small, bounded range**. + +--- + +## The One Insight That Makes This Work + +> If I know how many times each value appears, and I add those counts up from left to right, then `prefix[v]` tells me **how many elements are ≤ v** — instantly, for any v. + +That's it. Everything below is just executing this idea. + +--- + +## Step 1: Spot the Signal + +Read the constraints: + +``` +0 <= nums[i] <= 100 +``` + +Values are bounded to a tiny range (0–100). This is the **flashing neon sign** that says: don't sort, don't nest loops — build a frequency array indexed by value. + +**Rule of thumb:** value range ≤ ~10⁶ and you need counting/ranking? Frequency array. + +--- + +## Step 2: Count Every Value (the "bucket" pass) + +Make an array with one slot per possible value. Walk the input once. Each number votes for its own slot. + +```javascript +const freq = new Array(101).fill(0); // slots for values 0..100 +for (const x of nums) freq[x]++; +``` + +For `nums = [8, 1, 2, 2, 3]`: + +``` +value: 0 1 2 3 4 5 6 7 8 ... +freq: 0 1 2 1 0 0 0 0 1 ... +``` + +Read it as: "one 1, two 2s, one 3, one 8." + +--- + +## Step 3: Prefix Sum (the magic pass) + +Now transform `freq` in place: each slot becomes itself **plus everything before it**. + +```javascript +for (let i = 1; i < 101; i++) freq[i] += freq[i - 1]; +``` + +Same example after the pass: + +``` +value: 0 1 2 3 4 5 6 7 8 ... +freq: 0 1 3 4 4 4 4 4 5 ... +``` + +New meaning: `freq[v]` = **count of elements ≤ v**. + +- `freq[3] = 4` → four numbers are ≤ 3 (they are 1, 2, 2, 3) ✓ +- `freq[7] = 4` → still four numbers ≤ 7 ✓ + +--- + +## Step 4: Answer Queries in O(1) + +"How many numbers are **strictly smaller** than x?" is the same question as "how many numbers are **≤ x − 1**?" + +```javascript +return nums.map((x) => (x === 0 ? 0 : freq[x - 1])); +``` + +The `x === 0` guard exists because nothing can be smaller than the minimum possible value — and `freq[-1]` would be `undefined`. + +Trace on `[8, 1, 2, 2, 3]`: + +| x | lookup | answer | +|---|--------|--------| +| 8 | freq[7] | 4 | +| 1 | freq[0] | 0 | +| 2 | freq[1] | 1 | +| 2 | freq[1] | 1 | +| 3 | freq[2] | 3 | + +→ `[4, 0, 1, 1, 3]` ✓ + +--- + +## Full Solution + +```javascript +var smallerNumbersThanCurrent = function (nums) { + // 1. Bucket counts + const freq = new Array(101).fill(0); + for (const x of nums) freq[x]++; + + // 2. Prefix sum: freq[v] = count of elements <= v + for (let i = 1; i < 101; i++) freq[i] += freq[i - 1]; + + // 3. Strictly smaller than x == count of elements <= x-1 + return nums.map((x) => (x === 0 ? 0 : freq[x - 1])); +}; +``` + +**Complexity:** O(n + k) time, O(k) space, where k = value range (101 here). No sort, no log factor. + +--- + +## The Reusable Pattern (memorize this shape) + +``` +1. BUCKET — freq[value]++ for every element +2. PREFIX — freq[i] += freq[i-1] left to right +3. QUERY — freq[v] answers "how many ≤ v" in O(1) + freq[v-1] answers "how many < v" + n - freq[v] answers "how many > v" +``` + +### Where else this exact shape shows up + +| Problem | Same pattern, different query | +|---|---| +| **Counting Sort** | Prefix sums become final sorted positions | +| **LC 315 / rank queries** | "How many smaller" is literally a rank | +| **LC 1122 Relative Sort Array** | Bucket + walk buckets in order | +| **Radix sort digit pass** | Bucket by digit, prefix for placement | +| **Histogram percentiles** | freq[v] / n = percentile of v | +| **"How many in range [a, b]?"** | freq[b] − freq[a−1] — the prefix subtraction trick | + +### The generalization ladder + +- Values bounded and small → **frequency array** (this pattern) +- Values huge but few distinct → **coordinate compression** first, then this pattern +- Need updates between queries → upgrade prefix array to a **Fenwick tree (BIT)** — same idea, log-time updates + +--- + +## Common Mistakes + +1. **Returning `freq[x]` instead of `freq[x-1]`** — that counts elements ≤ x (including x itself and its duplicates). Off-by-one between "≤" and "<" is where this pattern bites. +2. **Forgetting the `x === 0` edge** — smallest possible value has nothing below it. +3. **Sizing the array to `nums.length` instead of the value range** — the buckets are indexed by *value*, not position.