diff --git a/CodeCraft-main/.DS_Store b/CodeCraft-main/.DS_Store new file mode 100644 index 0000000..c653366 Binary files /dev/null and b/CodeCraft-main/.DS_Store differ diff --git a/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/readme.md b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/readme.md new file mode 100644 index 0000000..dbd584e --- /dev/null +++ b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/readme.md @@ -0,0 +1,221 @@ +# Binary Search Mastery Guide +Efficient technique to locate elements or boundaries in **sorted search spaces** in `O(log N)` time. + +--- + +## Motivation: Linear Search Bottleneck + +### The Problem +Given a **sorted array**, answer queries like: +- Is element `x` present? +- What is the first / last occurrence of `x`? +- What is the smallest value satisfying a condition? + +### Why Linear Search Fails +- **Process:** Scan elements one by one +- **Time:** `O(N)` per query +- **Issue:** Too slow for large `N` + +--- + +## Key Idea & Intuition + +Binary Search works because **sorting gives order**. + +At every step: +1. Look at the middle element +2. Decide which half cannot contain the answer +3. Discard that half forever + +Each step removes **half** the search space. + +--- + +## Preconditions (Very Important ⚠️) + +Binary search works **only if**: +- Array is sorted + **OR** +- The search condition is monotonic (false → false → true → true) + +Otherwise, it gives **wrong answers silently**. + +--- + +## Algorithm (Classic Binary Search) + +### Steps +1. `L = 0`, `R = n - 1` +2. While `L <= R` +3. `mid = L + (R - L) / 2` +4. Compare `A[mid]` with `x` +5. Move left or right accordingly + +--- + +## Implementation + +### C++ — Standard Binary Search + + #include + using namespace std; + + int binarySearch(const vector& a, int x) { + int l = 0, r = (int)a.size() - 1; + while (l <= r) { + int mid = l + (r - l) / 2; + if (a[mid] == x) return mid; + else if (a[mid] < x) l = mid + 1; + else r = mid - 1; + } + return -1; + } + +--- + +## Example Walkthrough + +**Array:** `[1, 3, 5, 7, 9, 11]` +**Target:** `7` + +| Step | L | R | mid | A[mid] | Action | +|----|----|----|----|----|----| +| 1 | 0 | 5 | 2 | 5 | Go right | +| 2 | 3 | 5 | 4 | 9 | Go left | +| 3 | 3 | 3 | 3 | 7 | Found | + +--- + +## 🎥 Visualizer + +Use the interactive binary search visualizer to see how `L`, `R`, and `mid` move step by step: + +👉 **Binary Search Visualizer** *(link coming soon)* + +--- + +## Binary Search on Answer + +Binary search is **not limited to arrays**. + +You can binary search: +- Time +- Distance +- Minimum feasible value +- Maximum valid value + +As long as a predicate is monotonic. + +--- + +### Binary Search on Answer Template + + bool check(long long mid) { + return true; // monotonic condition + } + + long long solve(long long L, long long R) { + long long ans = -1; + while (L <= R) { + long long mid = L + (R - L) / 2; + if (check(mid)) { + ans = mid; + R = mid - 1; + } else { + L = mid + 1; + } + } + return ans; + } + +--- + +## Common Variants + +### First Occurrence + + int firstOccurrence(const vector& a, int x) { + int l = 0, r = (int)a.size() - 1, ans = -1; + while (l <= r) { + int mid = l + (r - l) / 2; + if (a[mid] >= x) { + if (a[mid] == x) ans = mid; + r = mid - 1; + } else l = mid + 1; + } + return ans; + } + +--- + +### Last Occurrence + + int lastOccurrence(const vector& a, int x) { + int l = 0, r = (int)a.size() - 1, ans = -1; + while (l <= r) { + int mid = l + (r - l) / 2; + if (a[mid] <= x) { + if (a[mid] == x) ans = mid; + l = mid + 1; + } else r = mid - 1; + } + return ans; + } + +--- + +## Complexity Analysis + +| Operation | Time | Space | +|---------|------|-------| +| Binary Search | `O(log N)` | `O(1)` | + +--- + +## Edge Cases & Pitfalls + +### Overflow-safe mid +Always use: + + mid = l + (r - l) / 2; + +### Infinite loops +Ensure `l` or `r` changes every iteration. + +--- + +## When to Use vs When Not + +### Use When: +- Data is sorted +- Predicate is monotonic +- Search space is large + +### Do NOT Use When: +- Data is unsorted +- Predicate is non-monotonic + +--- + +## Practice Problems + +| # | Problem | Difficulty | +|---|--------|------------| +| 1 | [Problem 1](#) | Easy | +| 2 | [Problem 2](#) | Easy | +| 3 | [Problem 3](#) | Medium | +| 4 | [Problem 4](#) | Medium | +| 5 | [Problem 5](#) | Hard | +| 6 | [Problem 6](#) | Hard | + +--- + +## Final Takeaway + +Binary Search is not just an algorithm — +it is a **thinking pattern**. + +> If you can ask +> “Is the answer ≤ X?” +> +> You can binary search it. diff --git a/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/.gitignore b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/.gitignore new file mode 100644 index 0000000..e78cc61 --- /dev/null +++ b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/.gitignore @@ -0,0 +1,33 @@ +# Dependencies +node_modules/ +/.pnp +.pnp.js + +# Testing +/coverage + +# Next.js +/.next/ +/out/ + +# Production +/build + +# Misc +.DS_Store +*.pem + +# Debug +npm-debug.log* +yarn-debug.log* +yarn-error.log* + +# Local env files +.env*.local + +# Vercel +.vercel + +# TypeScript +*.tsbuildinfo +next-env.d.ts \ No newline at end of file diff --git a/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/BinarySearch.tsx b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/BinarySearch.tsx new file mode 100644 index 0000000..67a4324 --- /dev/null +++ b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/BinarySearch.tsx @@ -0,0 +1,179 @@ +"use client"; + +import { useState, useEffect } from "react"; +import { + performBinarySearch, + generateRandomArray, + parseArrayInput, + Step, +} from "./utils/binarySearchUtils"; +import ArrayDisplay from "./components/ArrayDisplay"; +import StepDisplay from "./components/StepDisplay"; +import ResultsDisplay from "./components/ResultsDisplay"; +import Controls from "./components/Controls"; + +export default function BinarySearch() { + const [array, setArray] = useState([]); + const [arrayInput, setArrayInput] = useState(""); + const [target, setTarget] = useState(""); + const [steps, setSteps] = useState([]); + const [currentStep, setCurrentStep] = useState(0); + const [isPlaying, setIsPlaying] = useState(false); + const [speed, setSpeed] = useState(1000); + + const generateArray = () => { + const newArray = generateRandomArray(); + setArray(newArray); + setSteps([]); + setCurrentStep(0); + }; + + const setArrayFromInput = () => { + const nums = parseArrayInput(arrayInput); + setArray(nums); + setSteps([]); + setCurrentStep(0); + }; + + const startSearch = () => { + if (array.length === 0) return; + + const targetNum = Number(target); + if (!target.trim() || isNaN(targetNum)) { + alert("Please enter a valid search value."); + return; + } + + const searchSteps = performBinarySearch(array, targetNum); + setSteps(searchSteps); + setCurrentStep(0); + }; + + const nextStep = () => { + if (currentStep < steps.length - 1) { + setCurrentStep(currentStep + 1); + } + }; + + const prevStep = () => { + if (currentStep > 0) { + setCurrentStep(currentStep - 1); + } + }; + + const reset = () => { + setArray([]); + setArrayInput(""); + setTarget(""); + setSteps([]); + setCurrentStep(0); + setIsPlaying(false); + }; + + useEffect(() => { + if (isPlaying && currentStep < steps.length - 1) { + const delay = 3500 - speed; + const timer = setTimeout(() => { + setCurrentStep(currentStep + 1); + }, delay); + + return () => clearTimeout(timer); + } + + if (isPlaying && currentStep >= steps.length - 1) { + setIsPlaying(false); + } + }, [isPlaying, currentStep, steps.length, speed]); + + const current = steps[currentStep]; + + return ( +
+
+

+ Binary Search Visualizer +

+ +
+
+
+ Searching for:{" "} + {target || "none"} +
+ + + + +
+ +
+
+
+ +
+ setArrayInput(e.target.value)} + className="border border-gray-300 px-2 sm:px-3 py-1.5 sm:py-2 flex-1 rounded text-xs sm:text-sm focus:outline-none focus:ring-2 focus:ring-blue-500" + placeholder="e.g., 1,3,5,7,9" + /> + +
+
+ +
+ + setTarget(e.target.value)} + className="border border-gray-300 px-2 sm:px-3 py-1.5 sm:py-2 w-full rounded text-xs sm:text-sm focus:outline-none focus:ring-2 focus:ring-blue-500" + placeholder="e.g., 5" + /> +
+ +
+ + +
+
+ + +
+
+
+
+ ); +} diff --git a/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/README.md b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/README.md new file mode 100644 index 0000000..d1c4df9 --- /dev/null +++ b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/README.md @@ -0,0 +1,34 @@ +# Binary Search Visualizer + +This is a simple Binary Search visualizer built with Next.js and TypeScript. + +It allows you to generate a sorted array or enter your own sorted array, enter a target value, and see the step-by-step process of binary search. + +## Features + +- Generate random sorted array or enter custom sorted array +- Enter target value to search for +- Step through the search manually with Previous/Next buttons +- Auto-play mode with adjustable speed +- Visual highlights: + - Low, Mid, High pointers + - Eliminated ranges (faded) + - Found element (green highlight) +- Explanations for each step +- Result display with total steps + +## How to Run + +1. Navigate to the folder: `algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/` +2. Run `npm install` to install dependencies +3. Run `npm run dev` to start the development server +4. Open the browser to the displayed URL + +## Learning Notes + +This is my first Next.js project, kept simple for learning purposes. + +- `page.tsx` is the entry point in Next.js App Router, similar to a top-level React component. +- `BinarySearch.tsx` is a client component because it uses React hooks, requiring "use client". +- In Next.js, server components don't support client-side interactivity, so components with hooks need "use client". +- This differs from a plain React app where all components are inherently client-side. diff --git a/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/app/globals.css b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/app/globals.css new file mode 100644 index 0000000..b5c61c9 --- /dev/null +++ b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/app/globals.css @@ -0,0 +1,3 @@ +@tailwind base; +@tailwind components; +@tailwind utilities; diff --git a/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/app/layout.tsx b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/app/layout.tsx new file mode 100644 index 0000000..d434e18 --- /dev/null +++ b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/app/layout.tsx @@ -0,0 +1,22 @@ +import type { Metadata } from "next"; +import { Inter } from "next/font/google"; +import "./globals.css"; + +const inter = Inter({ subsets: ["latin"] }); + +export const metadata: Metadata = { + title: "Binary Search Visualizer", + description: "Visualize binary search step by step", +}; + +export default function RootLayout({ + children, +}: { + children: React.ReactNode; +}) { + return ( + + {children} + + ); +} diff --git a/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/app/page.tsx b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/app/page.tsx new file mode 100644 index 0000000..ab45d81 --- /dev/null +++ b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/app/page.tsx @@ -0,0 +1,8 @@ +// page.tsx is the entry point in Next.js App Router. +// It behaves like a top-level React component. +// It should simply render the main component. +import BinarySearch from "../BinarySearch"; + +export default function Page() { + return ; +} diff --git a/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/components/ArrayDisplay.tsx b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/components/ArrayDisplay.tsx new file mode 100644 index 0000000..9845578 --- /dev/null +++ b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/components/ArrayDisplay.tsx @@ -0,0 +1,89 @@ +import { Step } from "../utils/binarySearchUtils"; + +interface ArrayDisplayProps { + array: number[]; + current?: Step; +} + +export default function ArrayDisplay({ array, current }: ArrayDisplayProps) { + return ( +
+ {current && array.length > 0 && ( +
+ {array.map((_, index) => { + const isLow = index === current.low; + const isHigh = index === current.high; + const isMid = index === current.mid; + + return ( +
+ {isLow && ( +
+ low +
+ )} + {isHigh && ( +
+ high +
+ )} + {isMid && ( +
+ mid +
+ )} +
+ ); + })} +
+ )} + +
+ {array.length > 0 ? ( + array.map((num, index) => { + let className = + "px-2 sm:px-3 py-1.5 sm:py-2 text-center min-w-[36px] sm:min-w-[44px] rounded-lg border font-mono text-xs sm:text-sm font-semibold transition-colors duration-200"; + + if (current) { + if (index < current.low || index > current.high) { + className += " bg-gray-50 border-gray-200 text-gray-400"; + } else if (index === current.mid) { + className += " bg-blue-500 border-blue-600 text-white"; + } else if (current.found && index === current.foundIndex) { + className += " bg-green-100 border-green-300 text-green-800"; + } else { + className += " bg-blue-200 border-blue-200 text-blue-700"; + } + } else { + className += " bg-white border-gray-200 text-gray-700"; + } + + return ( +
+
{num}
+
+ [{index}] +
+
+ ); + }) + ) : ( +
+

No array set

+

+ Enter an array above and click "Set Array" or "Generate Random + Array" +

+
+ )} +
+
+ ); +} diff --git a/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/components/Controls.tsx b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/components/Controls.tsx new file mode 100644 index 0000000..1306d97 --- /dev/null +++ b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/components/Controls.tsx @@ -0,0 +1,84 @@ +import { Step } from "../utils/binarySearchUtils"; + +interface ControlsProps { + prevStep: () => void; + nextStep: () => void; + reset: () => void; + isPlaying: boolean; + setIsPlaying: (playing: boolean) => void; + setCurrentStep: (step: number) => void; + steps: Step[]; + currentStep: number; + speed: number; + setSpeed: (speed: number) => void; +} + +export default function Controls({ + prevStep, + nextStep, + reset, + isPlaying, + setIsPlaying, + setCurrentStep, + steps, + currentStep, + speed, + setSpeed, +}: ControlsProps) { + return ( + <> +
+ + + + + +
+ +
+ + + +
+ + ); +} diff --git a/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/components/ResultsDisplay.tsx b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/components/ResultsDisplay.tsx new file mode 100644 index 0000000..a71327c --- /dev/null +++ b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/components/ResultsDisplay.tsx @@ -0,0 +1,54 @@ +import { Step } from "../utils/binarySearchUtils"; + +interface ResultsDisplayProps { + steps: Step[]; + currentStep: number; +} + +export default function ResultsDisplay({ + steps, + currentStep, +}: ResultsDisplayProps) { + return ( +
+ {steps.length > 0 && currentStep === steps.length - 1 ? ( +
+ {steps[steps.length - 1].found ? ( +
+

+ Target Found ! +

+ +

+ Index:{" "} + + {steps[steps.length - 1].foundIndex} + +

+ +

+ Total Steps:{" "} + {steps.length} +

+
+ ) : ( +
+

+ Target Not Found ! +

+ +

+ Total Steps:{" "} + {steps.length} +

+
+ )} +
+ ) : ( +

+ Results will appear here after completing the search +

+ )} +
+ ); +} diff --git a/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/components/StepDisplay.tsx b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/components/StepDisplay.tsx new file mode 100644 index 0000000..72440b2 --- /dev/null +++ b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/components/StepDisplay.tsx @@ -0,0 +1,41 @@ +import { Step } from "../utils/binarySearchUtils"; + +interface StepDisplayProps { + current?: Step; + currentStep: number; +} + +export default function StepDisplay({ + current, + currentStep, +}: StepDisplayProps) { + return ( +
+ {current ? ( + <> +

+ Step {currentStep + 1}: +

+ +

+ Low: {current.low}, High: {current.high}, Mid: {current.mid} +

+ +

{current.message}

+ + ) : ( + <> +

+ Ready to Visualize +

+ +

Low: -, High: -, Mid: -

+ +

+ Click "Let's visualize" to start the binary search +

+ + )} +
+ ); +} diff --git a/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/eslint.config.mjs b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/eslint.config.mjs new file mode 100644 index 0000000..7448564 --- /dev/null +++ b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/eslint.config.mjs @@ -0,0 +1,16 @@ +import { dirname } from "path"; +import { fileURLToPath } from "url"; +import { FlatCompat } from "@eslint/eslintrc"; + +const __filename = dirname(fileURLToPath(import.meta.url)); +const __dirname = dirname(__filename); + +const compat = new FlatCompat({ + baseDirectory: __dirname, +}); + +const eslintConfig = [ + ...compat.extends("next/core-web-vitals", "next/typescript"), +]; + +export default eslintConfig; diff --git a/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/next.config.js b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/next.config.js new file mode 100644 index 0000000..658404a --- /dev/null +++ b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/next.config.js @@ -0,0 +1,4 @@ +/** @type {import('next').NextConfig} */ +const nextConfig = {}; + +module.exports = nextConfig; diff --git a/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/package-lock.json b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/package-lock.json new file mode 100644 index 0000000..3822ffb --- /dev/null +++ b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/package-lock.json @@ -0,0 +1,5661 @@ +{ + "name": "binary-search-visualizer", + "version": "0.1.0", + "lockfileVersion": 3, + "requires": true, + "packages": { + "": { + "name": "binary-search-visualizer", + "version": "0.1.0", + 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--git a/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/package.json b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/package.json new file mode 100644 index 0000000..ab7286e --- /dev/null +++ b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/package.json @@ -0,0 +1,27 @@ +{ + "name": "binary-search-visualizer", + "version": "0.1.0", + "private": true, + "scripts": { + "dev": "next dev", + "build": "next build", + "start": "next start", + "lint": "next lint" + }, + "dependencies": { + "next": "14.0.0", + "react": "^18", + "react-dom": "^18" + }, + "devDependencies": { + "@types/node": "^20", + "@types/react": "^18", + "@types/react-dom": "^18", + "autoprefixer": "^10.0.1", + "eslint": "^8", + "eslint-config-next": "14.0.0", + "postcss": "^8", + "tailwindcss": "^3.3.0", + "typescript": "^5" + } +} diff --git a/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/postcss.config.js b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/postcss.config.js new file mode 100644 index 0000000..12a703d --- /dev/null +++ b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/postcss.config.js @@ -0,0 +1,6 @@ +module.exports = { + plugins: { + tailwindcss: {}, + autoprefixer: {}, + }, +}; diff --git a/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/tailwind.config.js b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/tailwind.config.js new file mode 100644 index 0000000..07ad3a5 --- /dev/null +++ b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/tailwind.config.js @@ -0,0 +1,13 @@ +/** @type {import('tailwindcss').Config} */ +module.exports = { + content: [ + "./pages/**/*.{js,ts,jsx,tsx,mdx}", + "./components/**/*.{js,ts,jsx,tsx,mdx}", + "./app/**/*.{js,ts,jsx,tsx,mdx}", + "./*.tsx", + ], + theme: { + extend: {}, + }, + plugins: [], +}; diff --git a/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/tsconfig.json b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/tsconfig.json new file mode 100644 index 0000000..5d2b7e6 --- /dev/null +++ b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/tsconfig.json @@ -0,0 +1,28 @@ +{ + "compilerOptions": { + "target": "es5", + "lib": ["dom", "dom.iterable", "es6"], + "allowJs": true, + "skipLibCheck": true, + "strict": true, + "noEmit": true, + "esModuleInterop": true, + "module": "esnext", + "moduleResolution": "bundler", + "resolveJsonModule": true, + "isolatedModules": true, + "jsx": "preserve", + "incremental": true, + "plugins": [ + { + "name": "next" + } + ], + "baseUrl": ".", + "paths": { + "@/*": ["./*"] + } + }, + "include": ["next-env.d.ts", "**/*.ts", "**/*.tsx", ".next/types/**/*.ts"], + "exclude": ["node_modules"] +} diff --git a/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/utils/binarySearchUtils.ts b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/utils/binarySearchUtils.ts new file mode 100644 index 0000000..722f5af --- /dev/null +++ b/CodeCraft-main/algos/SearchingAndSorting/BinarySearch/visualizer/prashant_kumar_dwivedi/utils/binarySearchUtils.ts @@ -0,0 +1,71 @@ +export interface Step { + low: number; + high: number; + mid: number; + message: string; + found: boolean; + foundIndex?: number; +} + +export const performBinarySearch = ( + array: number[], + target: number +): Step[] => { + const steps: Step[] = []; + let low = 0; + let high = array.length - 1; + let found = false; + let foundIndex = -1; + while (low <= high) { + const mid = Math.floor((low + high) / 2); + steps.push({ + low, + high, + mid, + message: `mid = ${mid}, arr[${mid}] = ${array[mid]}, target = ${target}`, + found: false, + }); + if (array[mid] === target) { + found = true; + foundIndex = mid; + steps[steps.length - 1].found = true; + steps[steps.length - 1].foundIndex = mid; + steps[steps.length - 1].message += `, Found at index ${mid}`; + break; + } else if (array[mid] < target) { + steps[steps.length - 1].message += `, ${ + array[mid] + } < ${target}, so low = ${mid + 1}`; + low = mid + 1; + } else { + steps[steps.length - 1].message += `, ${ + array[mid] + } > ${target}, so high = ${mid - 1}`; + high = mid - 1; + } + } + if (!found) { + steps.push({ + low, + high, + mid: -1, + message: `Target not found, low > high`, + found: false, + }); + } + return steps; +}; + +export const generateRandomArray = (length: number = 10): number[] => { + return Array.from({ length }, () => Math.floor(Math.random() * 100)).sort( + (a, b) => a - b + ); +}; + +export const parseArrayInput = (input: string): number[] => { + return input + .split(",") + .map((s) => parseInt(s.trim())) + .filter((n) => !isNaN(n)) + .sort((a, b) => a - b); +}; diff --git a/CodeCraft-main/algos/range_queries/2D-Prefix/readme.md b/CodeCraft-main/algos/range_queries/2D-Prefix/readme.md new file mode 100644 index 0000000..f62d01c --- /dev/null +++ b/CodeCraft-main/algos/range_queries/2D-Prefix/readme.md @@ -0,0 +1,194 @@ +# 2D Prefix Sum Mastery Guide +Efficient technique to answer submatrix sum queries in `O(1)` time after `O(N × M)` preprocessing. + +--- + +## Motivation: The Brute-Force Bottleneck (2D) + +### The Problem +Given a 2D grid (matrix) of integers, answer multiple queries of the form: + +> What is the sum of elements inside the submatrix with top-left `(r1, c1)` and bottom-right `(r2, c2)` (inclusive)? + +### Why Brute Force Fails +- **Process:** Nested loops over rows `r1 → r2` and columns `c1 → c2` +- **Complexity:** `O((r2 − r1 + 1) × (c2 − c1 + 1))` per query +- **Scale:** With many queries on large matrices, this approach times out quickly + +--- + +## Key Idea & Intuition + +### Core Concept +Store **cumulative sums in two dimensions**. + +Let +`P[i][j]` = sum of all elements in rectangle `(0,0)` → `(i,j)` + +Using **inclusion–exclusion**, the sum of any submatrix is: + +``` +SubmatrixSum = +P[r2][c2] +− P[r1−1][c2] +− P[r2][c1−1] ++ P[r1−1][c1−1] +``` + +### Mental Model +- `P[i][j]` = total of everything **above and left** +- We subtract extra regions and add back the overlap +- No loops during queries + +--- + +## Build Process (Step-by-Step) + +### Recommended: 1-Based Prefix Matrix +Using a `(n+1) × (m+1)` prefix matrix avoids boundary checks. + +### Construction Formula +For matrix `A` (0-based): + +``` +P[i][j] = A[i-1][j-1] + + P[i-1][j] + + P[i][j-1] + - P[i-1][j-1] +``` + +### Query Formula +For submatrix `(r1, c1)` → `(r2, c2)` (0-based): + +``` +answer = +P[r2+1][c2+1] +− P[r1][c2+1] +− P[r2+1][c1] ++ P[r1][c1] +``` + +--- + +## Implementation + +### C++ (Safe 1-Based Prefix) +```cpp +#include +using namespace std; + +vector> buildPrefix2D(const vector>& A) { + int n = A.size(), m = A[0].size(); + vector> P(n + 1, vector(m + 1, 0)); + + for (int i = 1; i <= n; i++) { + for (int j = 1; j <= m; j++) { + P[i][j] = A[i-1][j-1] + + P[i-1][j] + + P[i][j-1] + - P[i-1][j-1]; + } + } + return P; +} + +long long rangeSum2D( + const vector>& P, + int r1, int c1, int r2, int c2 +) { + return P[r2+1][c2+1] + - P[r1][c2+1] + - P[r2+1][c1] + + P[r1][c1]; +} +``` + +### Python +```python +def build_prefix_2d(A): + n, m = len(A), len(A[0]) + P = [[0]*(m+1) for _ in range(n+1)] + for i in range(1, n+1): + for j in range(1, m+1): + P[i][j] = A[i-1][j-1] + P[i-1][j] + P[i][j-1] - P[i-1][j-1] + return P + +def query(P, r1, c1, r2, c2): + return ( + P[r2+1][c2+1] + - P[r1][c2+1] + - P[r2+1][c1] + + P[r1][c1] + ) +``` + +--- + +## Example Walkthrough + +### Input Matrix +``` +1 2 3 +4 5 6 +7 8 9 +``` + +### Prefix Matrix +``` +0 0 0 0 +0 1 3 6 +0 5 12 21 +0 12 27 45 +``` + +### Query Example +Submatrix `(1,1)` → `(2,2)`: + +``` +P[3][3] - P[1][3] - P[3][1] + P[1][1] += 45 - 6 - 12 + 1 += 28 +``` + +--- +## Visualizer +*(Left blank intentionally)* +___ +## Complexity Analysis + +| Phase | Time | Space | +|---|---|---| +| Preprocessing | `O(N × M)` | `O(N × M)` | +| Each Query | `O(1)` | `O(1)` | + +--- + +## Practical Considerations + +- Use **1-based prefix** to avoid index bugs +- Use `long long` to prevent overflow +- Works with **negative numbers** +- Avoid for huge grids due to memory limits + +--- + +## When to Use vs When Not to Use + +### Use When +- Matrix is static +- Many submatrix queries + +### Do NOT Use When +- Frequent updates are needed + +--- + +## Practice Problems + +| # | Problem | Difficulty | +|---|---------|------------| +| 1 | [Range Sum Query 2D – Immutable](https://leetcode.com/problems/range-sum-query-2d-immutable/description/) | Easy | +| 2 | [Codeforces 2113C](https://codeforces.com/contest/2113/problem/C) | Medium | +| 3 | [Number of Submatrices That Sum to Target](https://leetcode.com/problems/number-of-submatrices-that-sum-to-target/description/) | Hard | +--- + diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/readme.md b/CodeCraft-main/algos/range_queries/DifferenceArray/readme.md new file mode 100644 index 0000000..2d39b10 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/readme.md @@ -0,0 +1,195 @@ +# Difference Array Mastery Guide +Efficient technique to handle **range updates** in `O(1)` time using prefix sums. + +--- + +## Motivation: The Range Update Bottleneck + +### The Problem +Given an array of integers, perform multiple operations of the form: +> Add a value **X** to all elements from index **L** to **R** (inclusive). + +After all updates, output the final array. + +### Why Brute Force Fails +- **Process:** For every update, loop from `L` to `R` and add `X`. +- **Complexity:** `O(N)` per update. +- **Scale:** For `Q` updates, total time is `O(N × Q)`. + With `N, Q = 10^5`, this becomes infeasible. + +--- + +## Key Idea & Intuition + +### The Core Concept +Instead of updating every element in `[L, R]`, **mark only the boundaries**. + +We use a **Difference Array `diff[]`** such that: +- `diff[L] += X` +- `diff[R + 1] -= X` (if `R + 1 < N`) + +After processing all updates, take a **prefix sum of `diff[]`** to recover the final array. + +--- + +### Mental Model +Think of it as: +- Turning an update **ON** at index `L` +- Turning it **OFF** after index `R` + +The prefix sum spreads the effect automatically. + +- ❌ No looping per update +- ✅ Each update in `O(1)` +- ✅ Final prefix pass in `O(N)` + +--- + +## Algorithm Step-by-Step + +### The Build Process +1. Create a `diff` array of size `n`, initialized with `0`. +2. For each update `(L, R, X)`: + - `diff[L] += X` + - If `R + 1 < n`, do `diff[R + 1] -= X` +3. Build the final array using prefix sum: + - `final[0] = diff[0]` + - `final[i] = final[i-1] + diff[i]` + +--- + +## Implementation + +### C++ Code +```cpp +#include +using namespace std; + +// Apply range updates using Difference Array +vector applyUpdates( + int n, + const vector>& updates +) { + vector diff(n, 0); + + // Step 1: Apply difference updates + for (auto [L, R, X] : updates) { + diff[L] += X; + if (R + 1 < n) diff[R + 1] -= X; + } + + // Step 2: Build final array using prefix sum + vector result(n); + result[0] = diff[0]; + for (int i = 1; i < n; i++) { + result[i] = result[i - 1] + diff[i]; + } + + return result; +} +``` +## Example Walkthrough & Visualizer + +### Dataset Step-by-Step +**Initial Array Size:** `n = 6` + +**Updates Applied:** +1. Add `+3` to range `[1, 4]` +2. Add `+2` to range `[2, 5]` + +--- + +### Difference Array After Updates + +| Index | diff value | +|------|------------| +| 0 | 0 | +| 1 | +3 | +| 2 | +2 | +| 3 | 0 | +| 4 | 0 | +| 5 | -3 | + +--- + +### Building Final Array Using Prefix Sum + +| Index | Prefix Calculation | Final Value | +|------|--------------------|-------------| +| 0 | 0 | **0** | +| 1 | 0 + 3 | **3** | +| 2 | 3 + 2 | **5** | +| 3 | 5 + 0 | **5** | +| 4 | 5 + 0 | **5** | +| 5 | 5 - 3 | **2** | + +✅ **Final Array:** `[0, 3, 5, 5, 5, 2]` + +--- + +### 🎥 Interactive Trace +👉 **[Difference Array Visualizer](https://pholio.pearl99z.tech/extensions/differencearray)** + + + +--- + +## Complexity Analysis + +| Phase | Time Complexity | Space Complexity | +|-----|----------------|----------------| +| **Each Update** | `O(1)` | `O(1)` | +| **Final Build (Prefix Sum)** | `O(N)` | `O(N)` | +| **Total** | `O(N + Q)` | `O(N)` | + +--- + +## Practical Considerations & Edge Cases + +### ⚠️ Right Boundary Check +Always ensure: +```cpp +if (R + 1 < n) diff[R + 1] -= X; +``` + +### ⚠️ Integer Overflow +Large values and many updates can overflow 32-bit integers. + +**Solution:** +- Use `long long` in **C++** +- Use `long` in **Java** + +--- + +## When to Use vs. When Not to Use + +### Use When: +- You have **many range updates** +- Updates are applied **offline** +- Only the **final array** is required + +### Do NOT Use When: +- You need **intermediate query results** +- You need **online updates + queries** + +--- + +## Practice Problems + +| # | Problem | Difficulty | +|---|--------|------------| +| 1 | [Problem 1](https://cses.fi/problemset/task/1651/) | Easy | +| 2 | [Problem 2](https://leetcode.com/problems/corporate-flight-bookings/) | Medium | +| 3 | [Problem 3](https://leetcode.com/problems/car-pooling/) | Medium | +| 4 | [Problem 4]() | Hard | + +--- + +## Related Techniques + +- **Prefix Sum** +- **Range Addition Queries** +- **Sweep Line Technique** +- **Fenwick Tree / Segment Tree** + +--- diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/soln/AmanMehta22/Solution1.cpp b/CodeCraft-main/algos/range_queries/DifferenceArray/soln/AmanMehta22/Solution1.cpp new file mode 100644 index 0000000..55d8184 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/soln/AmanMehta22/Solution1.cpp @@ -0,0 +1,58 @@ +//#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#define int long long +#define fo(n) for (int i = 0; i < n; i++) +#define fo1(ii, n) for(int i=ii; i a +#define vecn(a,n) vector a(n) +#define py cout<<"YES"<>n>>k; + vectorarr(n); + fo(n)cin>>arr[i]; + while(k){ + int a; + cin>>a; + if(a!=1){ + int b; + cin>>b; + cout<>b>>c>>d; + for(int i=b-1;i +using namespace std; + +using ll = long long; +const ll MOD = 998244353; + +class Fenwick { + vector v; + ll n; + +public: + Fenwick(ll _n) { + n = _n; + v.assign(n+1, 0); + } + + void update(ll i, ll k) { + for (; i <= n; i += (i & -i)) { + v[i] += k; + } + } + ll sum(ll i) { + ll ans = 0; + for (; i > 0; i -= (i & -i)) { + ans += v[i]; + } + return ans; + } +}; + +void solve() { + ll n, q; + cin >> n >> q; + // cout << "n, q: " << n << " " << q << endl; + + vector x(n+1, 0); + for (ll i = 1; i <= n; i++) { + cin >> x[i]; + } + + // cout << "got the vectors\n"; + + vector diff(n+1, 0); + for (ll i = 1; i <= n; i++) { + diff[i] = x[i] - x[i-1]; + } + + Fenwick fenwick(n); + for (ll i = 1; i <= n; i++) { + fenwick.update(i, diff[i]); + } + + while (q--) { + // cout << q << endl; + ll t; + cin >> t; + if (t == 1) { + // cout << "query 1 started\n"; + ll a, b, u; + cin >> a >> b >> u; + + // cout << "Update the sum from [" << a << ", " << b << "] by " << u << endl; + fenwick.update(a, u); + if (b + 1 <= n) + fenwick.update(b + 1, -u); + // cout << "query 1 completed\n"; + } + else { + // cout << "query 2: "; + ll k; + cin >> k; + // cout << "what is the value at " << k << endl; + cout << fenwick.sum(k) << endl; + } + } +} + +int main() { + ios::sync_with_stdio(false); + cin.tie(nullptr); + + int t = 1; + // cin >> t; + + while (t--) { + solve(); + } + + return 0; +} \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/soln/Pradipmaity/Solution1.cpp b/CodeCraft-main/algos/range_queries/DifferenceArray/soln/Pradipmaity/Solution1.cpp new file mode 100644 index 0000000..f59c0b2 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/soln/Pradipmaity/Solution1.cpp @@ -0,0 +1,55 @@ +/* +Problem: +Given an array arr[] of size N and Q range update queries: +Each query: (L, R, X) +Add value X to every element in range [L, R]. +Print final array after all updates. + +Approach (Difference Array + Prefix Sum): +Instead of updating each index in range (O(N) per query), +we use a difference array: + +diff[L] += X +diff[R + 1] -= X (if R+1 < N) + +After processing all queries, +take prefix sum of diff[] to get final values. + +Time Complexity: +O(N + Q) + +Space Complexity: +O(N) + +Example: +arr = [1,2,3,4] +Query: (1,3,+2) +Result: [1,4,5,6] +*/ + +#include +using namespace std; + +int main() { + int n, q; + cin >> n >> q; + + vector arr(n), diff(n+1, 0); + for(auto &x : arr) cin >> x; + + while(q--){ + int L, R, X; + cin >> L >> R >> X; // 0-based indexing + + diff[L] += X; + if(R + 1 < n) diff[R + 1] -= X; + } + + long long curr = 0; + for(int i = 0; i < n; i++){ + curr += diff[i]; + arr[i] += curr; + } + + for(long long x : arr) cout << x << " "; +} diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/soln/dwivediprashant/Solution1.java b/CodeCraft-main/algos/range_queries/DifferenceArray/soln/dwivediprashant/Solution1.java new file mode 100644 index 0000000..19ab140 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/soln/dwivediprashant/Solution1.java @@ -0,0 +1,181 @@ +/* +------------------------------------------------------------ + Problem: Range Update Queries + Platform: CSES Problem Set + Problem ID: 1651 + Link: https://cses.fi/problemset/task/1651/ + + Task Summary: + ------------- + - You are given an array of n integers. + - You must process q queries of two types: + 1 a b u : increase all values in range [a, b] by u + 2 k : output the value at position k + + Constraints: + ------------ + - 1 ≤ n, q ≤ 2 * 10^5 + - 1 ≤ xi, u ≤ 10^9 + - Queries must be processed efficiently. + + Key Idea: + --------- + - Direct range updates are too slow. + - Use a Fenwick Tree (Binary Indexed Tree) with a + difference-array technique. + + Approach: + --------- + - Maintain a Fenwick Tree that stores only the "delta" changes. + - For range update [l, r] by value u: + diff[l] += u + diff[r+1] -= u + - The actual value at position k is: + original[k] + prefix_sum(diff, k) + + Time Complexity: + ---------------- + - Range update: O(log n) + - Point query : O(log n) + - Total: O((n + q) log n) + + Space Complexity: + ----------------- + - O(n) + +------------------------------------------------------------ +*/ +package CodeCraft.algos.range_queries.DifferenceArray.soln.dwivediprashant; +import java.io.*; + +public class Solution1 { + + /* + Fenwick Tree (Binary Indexed Tree) + Used here for: + - Range Update + - Point Query + */ + static class Fenwick { + int n; + long[] bit; + + Fenwick(int n) { + this.n = n; + bit = new long[n + 1]; + } + + // Add value v at index i + void add(int i, long v) { + while (i <= n) { + bit[i] += v; + i += i & -i; + } + } + + // Prefix sum from 1 to i + long sum(int i) { + long s = 0; + while (i > 0) { + s += bit[i]; + i -= i & -i; + } + return s; + } + + // Add value v to range [l, r] + void rangeAdd(int l, int r, long v) { + add(l, v); + if (r + 1 <= n) add(r + 1, -v); + } + } + + public static void main(String[] args) throws Exception { + FastScanner fs = new FastScanner(System.in); + StringBuilder output = new StringBuilder(); + + int n = fs.nextInt(); + int q = fs.nextInt(); + + // Original array (1-indexed) + long[] a = new long[n + 1]; + for (int i = 1; i <= n; i++) { + a[i] = fs.nextLong(); + } + + Fenwick fw = new Fenwick(n); + + // Process queries + while (q-- > 0) { + int type = fs.nextInt(); + if (type == 1) { + int l = fs.nextInt(); + int r = fs.nextInt(); + long u = fs.nextLong(); + fw.rangeAdd(l, r, u); + } else { + int k = fs.nextInt(); + long result = a[k] + fw.sum(k); + output.append(result).append('\n'); + } + } + + System.out.print(output.toString()); + } + + /* + Fast input reader + Required for large input size on CSES + */ + static class FastScanner { + private final byte[] buffer = new byte[1 << 16]; + private int ptr = 0, len = 0; + private final InputStream in; + + FastScanner(InputStream in) { + this.in = in; + } + + int read() throws IOException { + if (ptr >= len) { + len = in.read(buffer); + ptr = 0; + if (len <= 0) return -1; + } + return buffer[ptr++]; + } + + int nextInt() throws IOException { + int c, sign = 1, val = 0; + do { + c = read(); + } while (c <= ' '); + if (c == '-') { + sign = -1; + c = read(); + } + while (c > ' ') { + val = val * 10 + (c - '0'); + c = read(); + } + return val * sign; + } + + long nextLong() throws IOException { + int c, sign = 1; + long val = 0; + do { + c = read(); + } while (c <= ' '); + if (c == '-') { + sign = -1; + c = read(); + } + while (c > ' ') { + val = val * 10 + (c - '0'); + c = read(); + } + return val * sign; + } + } +} diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/.gitignore b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/.gitignore new file mode 100644 index 0000000..5ef6a52 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/.gitignore @@ -0,0 +1,41 @@ +# See https://help.github.com/articles/ignoring-files/ for more about ignoring files. + +# dependencies +/node_modules +/.pnp +.pnp.* +.yarn/* +!.yarn/patches +!.yarn/plugins +!.yarn/releases +!.yarn/versions + +# testing +/coverage + +# next.js +/.next/ +/out/ + +# production +/build + +# misc +.DS_Store +*.pem + +# debug +npm-debug.log* +yarn-debug.log* +yarn-error.log* +.pnpm-debug.log* + +# env files (can opt-in for committing if needed) +.env* + +# vercel +.vercel + +# typescript +*.tsbuildinfo +next-env.d.ts diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/README.md b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/README.md new file mode 100644 index 0000000..74295fb --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/README.md @@ -0,0 +1,258 @@ +# 🎯 Difference Array Technique Visualizer + +
+ +![Next.js](https://img.shields.io/badge/Next.js-16.1.1-black?style=for-the-badge&logo=next.js) +![React](https://img.shields.io/badge/React-19.2.3-61DAFB?style=for-the-badge&logo=react) +![TypeScript](https://img.shields.io/badge/TypeScript-5.0-blue?style=for-the-badge&logo=typescript) +![Tailwind CSS](https://img.shields.io/badge/Tailwind-4.0-38B2AC?style=for-the-badge&logo=tailwind-css) + +**An interactive, beautiful visualizer for understanding the Difference Array technique for efficient range updates** + +[Features](#-features) • [Getting Started](#-getting-started) • [Usage](#-usage) • [How It Works](#-how-it-works) + +
+ +--- + +## 📖 Overview + +The **Difference Array Technique Visualizer** is an educational tool that helps you understand and visualize how the difference array algorithm efficiently handles multiple range updates in O(1) time complexity. This interactive web application provides a step-by-step visualization of how range updates are applied and how the final array is computed using prefix sums. + +### 🎓 What is the Difference Array Technique? + +The difference array technique is an optimization method used to efficiently apply multiple range updates to an array. Instead of updating each element in a range individually (which would be O(n) per update), this technique allows you to: + +- Apply range updates in **O(1)** time +- Compute the final array in **O(n)** time +- Handle multiple updates before querying the final result + +--- + +## ✨ Features + +### 🎨 **Interactive Visualization** +- **Real-time Updates**: See how the difference array changes as you apply range updates +- **Step-by-Step Navigation**: Navigate through updates one by one with Previous/Next buttons +- **Visual Highlighting**: Color-coded elements show which indices are affected by each update +- **Animated Transitions**: Smooth animations using Framer Motion for a polished experience + +### 📊 **Multiple Array Views** +- **Initial Array**: Set custom starting values for your array +- **Difference Array (diff[])**: Visualize how updates are stored in the difference array +- **Final Array**: See the result after computing the prefix sum + +### 🎛️ **Flexible Controls** +- **Adjustable Array Size**: Set array size from 2 to 20 elements +- **Custom Initial Values**: + - Set individual array elements + - Import values using space-separated format + - Reset to zeros with one click +- **Range Update Inputs**: Easy-to-use controls for L (left index), R (right index), and X (value to add) + +### 📝 **Update Management** +- **Update History**: Visual buttons showing all applied updates +- **Click to Navigate**: Jump to any step by clicking on update buttons +- **Step Counter**: Track your progress through the updates +- **Clear All**: Reset all updates and start fresh + +### 🎓 **Educational Content** +- **Beautiful Formula Display**: Syntax-highlighted code showing the algorithm +- **Step-by-Step Explanations**: Understand what happens at each step +- **Complexity Analysis**: Learn about time and space complexity +- **Visual Feedback**: See exactly which elements are affected by each update + +### 🎨 **Beautiful UI/UX** +- **Modern Dark Theme**: Sleek dark interface with gradient accents +- **Responsive Design**: Works beautifully on all screen sizes +- **Gradient Buttons**: Beautiful gradient-styled buttons with hover effects +- **Smooth Animations**: Polished transitions and scale effects +- **Color-Coded Elements**: + - 🔵 Blue for difference array + - 🟣 Purple for initial array + - 🟢 Green for final array + - 🟡 Yellow for highlighted/affected elements + +--- + +## 🚀 Getting Started + +### Prerequisites + +- Node.js 18+ installed +- npm, yarn, pnpm, or bun package manager + +### Installation + +1. **Clone the repository** + ```bash + git clone + cd visualizer + ``` + +2. **Install dependencies** + ```bash + npm install + # or + yarn install + # or + pnpm install + ``` + +3. **Run the development server** + ```bash + npm run dev + # or + yarn dev + # or + pnpm dev + ``` + +4. **Open your browser** + Navigate to [http://localhost:3000](http://localhost:3000) + +### Build for Production + +```bash +npm run build +npm start +``` + +--- + +## 📖 Usage + +### Basic Workflow + +1. **Set Array Size**: Adjust the array size (n) using the input field (2-20) + +2. **Set Initial Values** (Optional): + - Click "Set Array" to show input fields + - Enter values for each index individually, or + - Click "Import from Space-Separated Values" and paste values like: `1 2 3 4 5 6` + +3. **Add Range Updates**: + - Enter **L** (left index): starting index of the range + - Enter **R** (right index): ending index of the range + - Enter **X** (value): the value to add to the range [L, R] + - Click "Add Update" + +4. **Navigate Through Updates**: + - Use **Previous** and **Next** buttons to step through updates + - Click on any update button in the history to jump to that step + - Watch how the difference array and final array change + +5. **Observe the Visualization**: + - **Initial Array**: Your starting values + - **Difference Array**: Shows how updates are stored (diff[L] += X, diff[R+1] -= X) + - **Final Array**: The result after computing prefix sum + +### Example + +Let's say you want to: +- Start with array: `[0, 0, 0, 0, 0, 0]` +- Add 5 to range [1, 3] +- Add 3 to range [2, 4] + +**Steps:** +1. Set array size to 6 +2. Add update: L=1, R=3, X=5 +3. Add update: L=2, R=4, X=3 +4. Navigate through steps to see how each update affects the arrays + +**Result**: Final array will be `[0, 5, 8, 8, 3, 0]` + +--- + +## 🔬 How It Works + +### The Algorithm + +The difference array technique works in two phases: + +#### Phase 1: Apply Updates (O(1) per update) + +For each range update [L, R] with value X: + +```javascript +diff[L] += X +diff[R+1] -= X // if R+1 <= n +``` + +This stores the update information without modifying the entire range. + +#### Phase 2: Compute Final Array (O(n)) + +Compute the prefix sum of the difference array and add to initial values: + +```javascript +prefix[0] = diff[0] +prefix[i] = prefix[i-1] + diff[i] // for i > 0 +final[i] = initial[i] + prefix[i] +``` + +### Time Complexity + +- **Range Update**: O(1) per update +- **Compute Final Array**: O(n) +- **Total for m updates**: O(m + n) + +### Space Complexity + +- **O(n)**: One additional array of size n+1 for the difference array + +### Why It's Efficient + +Instead of updating each element in a range [L, R] individually (which would be O(n) per update), the difference array technique: +- Marks the start of the range with `+X` +- Marks the end of the range with `-X` +- Computes the cumulative effect using prefix sum + +This is especially powerful when you need to apply many range updates before querying the final array. + +--- + +## 🛠️ Technology Stack + +- **Framework**: [Next.js 16.1.1](https://nextjs.org/) - React framework for production +- **UI Library**: [React 19.2.3](https://react.dev/) +- **Language**: [TypeScript 5](https://www.typescriptlang.org/) +- **Styling**: [Tailwind CSS 4](https://tailwindcss.com/) - Utility-first CSS framework +- **Animations**: [Framer Motion 12.23.26](https://www.framer.com/motion/) - Production-ready motion library + +--- + +## 📁 Project Structure + +``` +visualizer/ +├── app/ +│ ├── page.tsx # Main page component +│ ├── layout.tsx # Root layout +│ └── globals.css # Global styles +├── components/ +│ └── DifferenceArrayVisualizer.tsx # Main visualizer component +├── public/ # Static assets +├── package.json # Dependencies +└── README.md # This file +``` + +--- + +## 🎯 Use Cases + +This visualizer is perfect for: + +- **Students** learning algorithms and data structures +- **Educators** teaching the difference array technique +- **Developers** understanding optimization techniques +- **Interview Preparation** for coding interviews +- **Algorithm Visualization** enthusiasts + +--- + +
+ +**Made with ❤️ for learning and education** + +
diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/app/favicon.ico b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/app/favicon.ico new file mode 100644 index 0000000..718d6fe Binary files /dev/null and b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/app/favicon.ico differ diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/app/globals.css b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/app/globals.css new file mode 100644 index 0000000..a2dc41e --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/app/globals.css @@ -0,0 +1,26 @@ +@import "tailwindcss"; + +:root { + --background: #ffffff; + --foreground: #171717; +} + +@theme inline { + --color-background: var(--background); + --color-foreground: var(--foreground); + --font-sans: var(--font-geist-sans); + --font-mono: var(--font-geist-mono); +} + +@media (prefers-color-scheme: dark) { + :root { + --background: #0a0a0a; + --foreground: #ededed; + } +} + +body { + background: var(--background); + color: var(--foreground); + font-family: Arial, Helvetica, sans-serif; +} diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/app/layout.tsx b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/app/layout.tsx new file mode 100644 index 0000000..f7fa87e --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/app/layout.tsx @@ -0,0 +1,34 @@ +import type { Metadata } from "next"; +import { Geist, Geist_Mono } from "next/font/google"; +import "./globals.css"; + +const geistSans = Geist({ + variable: "--font-geist-sans", + subsets: ["latin"], +}); + +const geistMono = Geist_Mono({ + variable: "--font-geist-mono", + subsets: ["latin"], +}); + +export const metadata: Metadata = { + title: "Create Next App", + description: "Generated by create next app", +}; + +export default function RootLayout({ + children, +}: Readonly<{ + children: React.ReactNode; +}>) { + return ( + + + {children} + + + ); +} diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/app/page.tsx b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/app/page.tsx new file mode 100644 index 0000000..b94c32e --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/app/page.tsx @@ -0,0 +1,5 @@ +import DifferenceArrayVisualizer from "../components/DifferenceArrayVisualizer"; + +export default function Home() { + return ; +} diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/components/DifferenceArrayVisualizer.tsx b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/components/DifferenceArrayVisualizer.tsx new file mode 100644 index 0000000..186d4a8 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/components/DifferenceArrayVisualizer.tsx @@ -0,0 +1,475 @@ +"use client"; + +import { useState } from "react"; +import { motion, AnimatePresence } from "framer-motion"; + +type Update = { l: number; r: number; x: number }; + +export default function DifferenceArrayVisualizer() { + const [n, setN] = useState(6); + const [updates, setUpdates] = useState([]); + const [step, setStep] = useState(0); + const [initialArray, setInitialArray] = useState(Array(6).fill(0)); + const [showArrayInput, setShowArrayInput] = useState(false); + const [inputValues, setInputValues] = useState<{ [key: number]: string }>({}); + + const [l, setL] = useState(0); + const [r, setR] = useState(0); + const [x, setX] = useState(0); + + // Ensure initialArray matches current size + const currentInitialArray = initialArray.length === n + ? initialArray + : [...initialArray.slice(0, n), ...Array(Math.max(0, n - initialArray.length)).fill(0)]; + + const diff = Array(n + 1).fill(0); + for (let i = 0; i < step; i++) { + diff[updates[i].l] += updates[i].x; + if (updates[i].r + 1 < diff.length) + diff[updates[i].r + 1] -= updates[i].x; + } + + // Final array = initial array + prefix sum of diff + const prefixSum = Array(n).fill(0); + for (let i = 0; i < n; i++) { + prefixSum[i] = (i === 0 ? 0 : prefixSum[i - 1]) + diff[i]; + } + + const final = Array(n).fill(0); + for (let i = 0; i < n; i++) { + final[i] = currentInitialArray[i] + prefixSum[i]; + } + + return ( +
+

+ Difference Array — Range Updates Visualizer +

+ + {/* Controls */} +
+
+ + { + const newN = Math.max(2, Math.min(20, +e.target.value || 6)); + setN(newN); + setUpdates(updates.filter(u => u.r < newN)); + setStep(Math.min(step, updates.filter(u => u.r < newN).length)); + // Adjust initial array size + if (newN > initialArray.length) { + setInitialArray([...initialArray, ...Array(newN - initialArray.length).fill(0)]); + } else { + setInitialArray(initialArray.slice(0, newN)); + } + // Clear input values when size changes + setInputValues({}); + }} + className="w-full max-w-xs px-4 py-2 bg-slate-700 rounded-lg border border-slate-600 focus:outline-none focus:ring-2 focus:ring-blue-500" + /> +
+ + {/* Initial Array Input */} +
+
+ + +
+ + {showArrayInput && ( +
+
+ {currentInitialArray.map((val, idx) => { + const inputValue = inputValues[idx] !== undefined ? inputValues[idx] : val.toString(); + return ( +
+ {idx} + { + const newVal = e.target.value; + setInputValues({ ...inputValues, [idx]: newVal }); + if (newVal === "" || newVal === "-") { + // Allow empty or minus sign for typing + return; + } + const numVal = +newVal; + if (!isNaN(numVal)) { + const newArray = [...currentInitialArray]; + newArray[idx] = numVal; + setInitialArray(newArray); + } + }} + onBlur={(e) => { + const numVal = +e.target.value; + if (isNaN(numVal) || e.target.value === "") { + const updatedValues = { ...inputValues }; + updatedValues[idx] = currentInitialArray[idx].toString(); + setInputValues(updatedValues); + } else { + const updatedValues = { ...inputValues }; + updatedValues[idx] = numVal.toString(); + setInputValues(updatedValues); + } + }} + onFocus={(e) => { + // Clear the input when focused if it's 0 + if (currentInitialArray[idx] === 0 && inputValue === "0") { + setInputValues({ ...inputValues, [idx]: "" }); + } + }} + className="w-16 px-2 py-1 bg-slate-600 rounded border border-slate-500 focus:outline-none focus:ring-2 focus:ring-blue-500 text-center" + /> +
+ ); + })} +
+
+ + +
+
+ )} +
+ +
+
+ + setL(Math.max(0, Math.min(n - 1, +e.target.value || 0)))} + className="w-full px-4 py-2 bg-slate-700 rounded-lg border border-slate-600 focus:outline-none focus:ring-2 focus:ring-blue-500" + /> +
+
+ + setR(Math.max(0, Math.min(n - 1, +e.target.value || 0)))} + className="w-full px-4 py-2 bg-slate-700 rounded-lg border border-slate-600 focus:outline-none focus:ring-2 focus:ring-blue-500" + /> +
+
+ + setX(+e.target.value || 0)} + className="w-full px-4 py-2 bg-slate-700 rounded-lg border border-slate-600 focus:outline-none focus:ring-2 focus:ring-blue-500" + /> +
+
+ +
+
+ + {updates.length > 0 && ( +
+
+ {updates.map((update, idx) => ( + setStep(idx + 1)} + className={`px-4 py-1.5 rounded-lg text-sm font-mono shadow-md hover:shadow-lg transition-all duration-200 transform hover:scale-105 ${ + idx < step + ? "bg-gradient-to-r from-green-600 to-green-700 hover:from-green-700 hover:to-green-800 text-white" + : "bg-slate-600 hover:bg-slate-500 text-slate-200" + }`} + > + ({update.l}, {update.r}, {update.x}) + + ))} +
+
+ )} + +
+ + + Step {step} / {updates.length} + + + {updates.length > 0 && ( + + )} +
+
+ + {/* Initial Array */} +
+
+ Starting values before any updates +
+ +
+ + {/* Difference Array */} +
+
+ {step > 0 ? ( + <> + After applying update ({updates[step - 1].l}, {updates[step - 1].r}, {updates[step - 1].x}): +
+ diff[{updates[step - 1].l}] += {updates[step - 1].x} + {updates[step - 1].r + 1 < n && ( + <> + {" "}and diff[{updates[step - 1].r + 1}] -= {updates[step - 1].x} + + )} + + ) : ( + "No updates applied yet" + )} +
+ 0 + ? [updates[step - 1].l, updates[step - 1].r + 1] + : null + } + type="diff" + showIndex={true} + /> +
+ Note: diff array has size n+1 +
+
+ + {/* Final Array */} +
+
+ Calculated by: final[i] = initial[i] + (final[i-1] + diff[i]) +
+ 0 + ? [updates[step - 1].l, updates[step - 1].r] + : null + } + showIndex={true} + /> +
+ {step > 0 ? ( + <>Elements from index {updates[step - 1].l} to {updates[step - 1].r} are affected by the current update + ) : ( + <>No updates applied yet + )} +
+
+ + {/* Explanation */} +
+
+
+

+ How Difference Array Works +

+
+
+
+

+ To update a range [L, R] by adding X, we apply the update in O(1): +

+
+
+
+ diff[L] += X +
+
+ diff[R+1] -= X // if R+1 <= n +
+
+
+
+ +
+

+ The final array is obtained by adding the initial array values to the prefix sum of the difference array: +

+
+ 
+                
+                  
prefix[0] = diff[0]

+                  
prefix[i] = prefix[i-1] + diff[i]  // for i > 0

+                  
final[i] = initial[i] + prefix[i]

+                
+
+
+
+ +
+
+
+

Time Complexity

+

+ O(1) per update
+ O(n) to compute final +

+
+
+

Space Complexity

+

O(n)

+
+
+

Use Case

+

+ Multiple range updates
+ before querying +

+
+
+
+
+
+
+ ); +} + +/* ---------- Components ---------- */ + +function Section({ title, children }: { title: string; children: React.ReactNode }) { + return ( +
+

{title}

+ {children} +
+ ); +} + +function ArrayRow({ + arr, + highlight, + type, + showIndex = false, +}: { + arr: number[]; + highlight?: number[] | null; + type: "diff" | "final" | "initial"; + showIndex?: boolean; +}) { + const isHighlighted = (i: number) => { + if (!highlight) return false; + if (type === "diff") { + return i === highlight[0] || i === highlight[1]; + } else { + return i >= highlight[0] && i <= highlight[1]; + } + }; + + const gapClass = type === "final" ? "gap-8" : "gap-5"; + + return ( +
+ + {arr.map((v, i) => ( + + {showIndex && ( + {i} + )} +
+ {v} +
+ + ))} + +
+ ); +} + diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/eslint.config.mjs b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/eslint.config.mjs new file mode 100644 index 0000000..05e726d --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/eslint.config.mjs @@ -0,0 +1,18 @@ +import { defineConfig, globalIgnores } from "eslint/config"; +import nextVitals from "eslint-config-next/core-web-vitals"; +import nextTs from "eslint-config-next/typescript"; + +const eslintConfig = defineConfig([ + ...nextVitals, + ...nextTs, + // Override default ignores of eslint-config-next. + globalIgnores([ + // Default ignores of eslint-config-next: + ".next/**", + "out/**", + "build/**", + "next-env.d.ts", + ]), +]); + +export default eslintConfig; diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/next.config.ts b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/next.config.ts new file mode 100644 index 0000000..e9ffa30 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/next.config.ts @@ -0,0 +1,7 @@ +import type { NextConfig } from "next"; + +const nextConfig: NextConfig = { + /* config options here */ +}; + +export default nextConfig; diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/package-lock.json b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/package-lock.json new file mode 100644 index 0000000..e1285a3 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/package-lock.json @@ -0,0 +1,6581 @@ +{ + "name": "visualizer", + "version": "0.1.0", + "lockfileVersion": 3, + "requires": true, + "packages": { + "": { + "name": "visualizer", + "version": "0.1.0", + "dependencies": { + "framer-motion": "^12.23.26", + "next": 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-0,0 +1,7 @@ +const config = { + plugins: { + "@tailwindcss/postcss": {}, + }, +}; + +export default config; diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/public/file.svg b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/public/file.svg new file mode 100644 index 0000000..004145c --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/public/file.svg @@ -0,0 +1 @@ + \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/public/globe.svg b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/public/globe.svg new file mode 100644 index 0000000..567f17b --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/public/globe.svg @@ -0,0 +1 @@ + \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/Skr-suyash/public/next.svg 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".next/types/**/*.ts", + ".next/dev/types/**/*.ts", + "**/*.mts" + ], + "exclude": ["node_modules"] +} diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/hsd2514/.gitignore b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/hsd2514/.gitignore new file mode 100644 index 0000000..1754a61 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/hsd2514/.gitignore @@ -0,0 +1,31 @@ +node_modules/ +.next/ +out/ +dist/ +build/ + +# dependencies +/.pnp +.pnp.js + +# testing +/coverage + +# misc +.DS_Store +*.pem + +# debug +npm-debug.log* +yarn-debug.log* +yarn-error.log* + +# local env files +.env*.local + +# vercel +.vercel + +# typescript +*.tsbuildinfo +next-env.d.ts diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/hsd2514/FEATURES.md b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/hsd2514/FEATURES.md new file mode 100644 index 0000000..498bbb7 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/hsd2514/FEATURES.md @@ -0,0 +1,134 @@ +# ✨ Enhanced Features + +This visualizer includes multiple advanced features beyond the basic requirements: + +## 🎯 Core Improvements + +### 1. **Preset Examples** 🚀 +- **Demo 1: Basic Update** - Simple single range update +- **Demo 2: Overlapping Updates** - Two overlapping range updates +- **Demo 3: Complex Pattern** - Multiple updates with positive and negative values + +Quick way to understand the algorithm without manual setup! + +### 2. **Custom Initial Array** ✏️ +- Click "Edit" button to modify individual array values +- Start with non-zero values to see more interesting results +- Visual editor with inline value modification + +### 3. **Dark Mode** 🌙 +- Full dark theme support for comfortable viewing +- Smooth transitions between themes +- All components adapted for dark mode + +### 4. **Animation Speed Control** ⚡ +- **Slow**: 2.5 seconds per step (great for learning) +- **Medium**: 1.5 seconds per step (default) +- **Fast**: 0.5 seconds per step (quick overview) + +### 5. **Code Display** +- View the actual algorithm implementation +- Syntax-highlighted code block +- Shows time and space complexity + +### 6. **Complexity Comparison** 📊 +- Real-time calculation of operations +- **Naive Approach**: Shows O(q×n) operation count +- **Difference Array**: Shows O(q+n) operation count +- Displays performance improvement ratio + +### 7. **Keyboard Shortcuts** ⌨️ +- **← →** : Navigate Previous/Next step +- **Space** : Play/Pause animation +- **R** : Reset visualization + +No mouse needed for navigation! + +## 🎨 UI/UX Enhancements + +### Visual Feedback +- **Animated transitions** between steps +- **Pulse animations** for currently computing elements +- **Scale effects** on highlighted elements +- **Color-coded operations** for easy understanding + +### Responsive Design +- Works on all screen sizes +- Flexible layouts for arrays +- Mobile-friendly controls + +### Accessibility +- Clear visual hierarchy +- High contrast colors +- Descriptive labels and tooltips +- Keyboard-accessible + +## 📚 Educational Features + +### Step-by-Step Descriptions +Each step includes detailed explanation: +- What operation is being performed +- Which indices are affected +- Current state of all arrays + +### Information Panel +Comprehensive explanation covering: +1. **Initialize** - How to set up +2. **Apply Updates** - The O(1) trick +3. **Compute Final Array** - Prefix sum application +4. **Why It's Efficient** - Complexity analysis + +### Visual Learning +- Three separate array views (Original, Difference, Final) +- Index labels for clarity +- Value-based color coding +- Operation highlighting + +## 🚀 Performance Features + +### Efficient Rendering +- Optimized React components +- Minimal re-renders +- Smooth animations + +### Memory Efficient +- No external state managers +- Lightweight implementation +- Fast load times + +## 🎓 Use Cases + +Perfect for: +- **Students** learning data structures +- **Teachers** demonstrating algorithms +- **Interview preparation** for coding challenges +- **Algorithm enthusiasts** exploring optimizations + +## 🔄 Comparison with Basic Implementation + +| Feature | Basic | Enhanced | +|---------|-------|----------| +| Preset Examples | ❌ | ✅ | +| Custom Initial Array | ❌ | ✅ | +| Dark Mode | ❌ | ✅ | +| Speed Control | ❌ | ✅ | +| Code Display | ❌ | ✅ | +| Complexity Comparison | ❌ | ✅ | +| Keyboard Shortcuts | ❌ | ✅ | +| Step Navigation | ✅ | ✅ | +| Auto-Play | ✅ | ✅ | +| Visual Highlighting | ✅ | ✅ | + +## 💡 Future Enhancement Ideas + +Potential additions for future versions: +- Export visualization as GIF/Video +- Share link with preset configuration +- Multiple algorithm comparisons side-by-side +- Interactive quiz mode +- More advanced examples +- Multi-language support + +--- + +**All features are production-ready and fully tested!** ✨ diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/hsd2514/README.md b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/hsd2514/README.md new file mode 100644 index 0000000..eca2849 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/hsd2514/README.md @@ -0,0 +1,225 @@ +# Difference Array Visualizer 🎯 + +An interactive web application to visualize and understand **Difference Arrays** and **Range Updates** using prefix sums. + +## 🌟 Features + +- **Interactive Array Configuration**: Adjust array size (4-12 elements) with a slider +- **Custom Initial Array**: Edit individual array values before applying updates +- **Quick Demo Presets**: Three pre-configured examples to get started instantly +- **Range Updates**: Add multiple range updates with custom values +- **Step-by-Step Visualization**: Navigate through each step of the algorithm +- **Auto-Play Mode**: Watch the visualization automatically progress with adjustable speed +- **Animation Speed Control**: Choose between Slow, Medium, and Fast playback +- **Dark Mode** 🌙: Toggle between light and dark themes +- **Code Display**: View the actual algorithm implementation +- **Complexity Comparison**: See real-time comparison of naive vs difference array approach +- **Keyboard Shortcuts**: Navigate efficiently with arrow keys, space, and R +- **Color-Coded Arrays**: + - 🟢 Green: Positive values + - 🔴 Red: Negative values + - ⚪ Gray: Zero values + - 🟡 Yellow: Highlighted (current operation) + - 🟣 Purple: Currently computing prefix sum +- **Real-time Highlighting**: See exactly which indices are being modified +- **Educational Tooltips**: Learn how difference arrays work with detailed explanations + +## 🚀 Getting Started + +### Prerequisites + +- Node.js 18+ +- npm or yarn + +### Installation + +```bash +# Navigate to the visualizer directory +cd algos/range_queries/DifferenceArray/visualizer/hsd2514 + +# Install dependencies +npm install + +# Run the development server +npm run dev +``` + +Open [http://localhost:3000](http://localhost:3000) in your browser. + +### Building for Production + +```bash +npm run build +npm start +``` + +## 📖 How to Use + +1. **Try Quick Demos**: Click one of the preset demo buttons to see examples instantly +2. **Set Array Size**: Use the slider to choose your array size (4-12 elements) +3. **Edit Initial Values** (Optional): Click "Edit" to customize initial array values +4. **Add Range Updates**: + - Enter L (start index) + - Enter R (end index) + - Enter X (value to add) + - Click "Add Update" +5. **Visualize**: Click the "Visualize" button to generate all steps +6. **Navigate**: + - Use "Previous" and "Next" buttons to move through steps + - Click "Play" for automatic progression + - Adjust animation speed (Slow/Medium/Fast) +7. **Explore Features**: + - Toggle 🌙 dark mode for comfortable viewing + - Click to view algorithm code + - Click 📊 to see complexity comparison +8. **Keyboard Shortcuts**: + - ← → Arrow keys to navigate steps + - Space to play/pause + - R to reset +9. **Reset**: Start over with the "Reset" button + +## 🧠 Algorithm Explanation + +### What is a Difference Array? + +A difference array is a powerful technique to handle multiple range updates efficiently. + +**Problem**: Given an array and multiple queries to add a value X to all elements in range [L, R] + +**Naive Approach**: O(q × n) - iterate through range for each query + +**Difference Array Approach**: O(q + n) + +### How It Works + +1. **Initialize**: Create difference array `diff[]` (initially same as original array or all zeros) + +2. **Apply Range Updates**: For each update `[L, R] += X`: + ``` + diff[L] += X // Mark start of range + diff[R+1] -= X // Mark end of range (if R+1 exists) + ``` + +3. **Compute Final Array**: Apply prefix sum: + ``` + result[0] = diff[0] + for i from 1 to n-1: + result[i] = result[i-1] + diff[i] + ``` + +### Example + +**Array**: `[0, 0, 0, 0, 0]` + +**Updates**: +- `[1, 3] += 10` +- `[2, 4] += 5` + +**Difference Array After Updates**: `[0, 10, 5, 0, -5, -10]` + +**Final Array (after prefix sum)**: `[0, 10, 15, 15, 10, 0]` + +## 💻 Tech Stack + +- **Framework**: Next.js 14 +- **Language**: TypeScript +- **Styling**: Tailwind CSS +- **Runtime**: React 18 + +## 📁 Project Structure + +``` +hsd2514/ +├── src/ +│ ├── app/ +│ │ ├── globals.css +│ │ ├── layout.tsx +│ │ └── page.tsx +│ └── components/ +│ └── DifferenceArrayVisualizer.tsx +├── public/ +├── package.json +├── tsconfig.json +├── tailwind.config.ts +├── postcss.config.js +├── next.config.js +└── README.md +``` + +## 🎨 Design Inspiration + +UI/UX inspired by the [Prefix Sum Visualizer](https://pholio.pearl99z.tech/extensions/prefixsum) + +## 🔧 Customization + +### Modify Array Size Limits + +In `DifferenceArrayVisualizer.tsx`: +```typescript + +``` + +### Adjust Animation Speed Presets + +Change the speed options: +```typescript +const [playSpeed, setPlaySpeed] = useState(1500) // Default speed + +// Speed options: 500 (Fast), 1500 (Medium), 2500 (Slow) +``` + +### Customize Color Themes + +Modify the `getArrayColor` function to change color schemes for both light and dark modes. + +## 🤝 Contributing + +This visualizer is part of the CodeCraft project. Contributions are welcome! + +### To Contribute: +1. Fork the repository +2. Create a feature branch +3. Make your changes +4. Submit a pull request + +## 📝 Algorithm Complexity + +| Operation | Time Complexity | Space Complexity | +|-----------|----------------|------------------| +| Single Range Update | O(1) | O(n) | +| q Range Updates | O(q) | O(n) | +| Prefix Sum | O(n) | O(n) | +| **Total** | **O(q + n)** | **O(n)** | + +## 🐛 Known Issues + +None at the moment! If you find any bugs, please report them. + +## 📄 License + +This project is part of CodeCraft and follows the repository's license. + +## 👨‍💻 Author + +**hsd2514** +- Part of the CodeCraft Range Queries Collection +- Built for OpenCode IIITA Hackathon + +## 🙏 Acknowledgments + +- Thanks to the CodeCraft team for the opportunity +- Inspired by existing Prefix Sum visualizer at [pholio.pearl99z.tech](https://pholio.pearl99z.tech/) + +## 📚 Learn More + +- [Difference Array - GeeksforGeeks](https://www.geeksforgeeks.org/difference-array-range-update-query-o1/) +- [Range Updates using Difference Array](https://cp-algorithms.com/data_structures/fenwick.html) + +--- + +**Made with ❤️ for learning algorithms visually** diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/hsd2514/next.config.js b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/hsd2514/next.config.js new file mode 100644 index 0000000..91ef62f --- /dev/null +++ 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"^10.4.16", + "postcss": "^8.4.32", + "tailwindcss": "^3.4.0", + "typescript": "^5.3.3" + } +} diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/hsd2514/postcss.config.js b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/hsd2514/postcss.config.js new file mode 100644 index 0000000..33ad091 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/hsd2514/postcss.config.js @@ -0,0 +1,6 @@ +module.exports = { + plugins: { + tailwindcss: {}, + autoprefixer: {}, + }, +} diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/hsd2514/src/app/globals.css b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/hsd2514/src/app/globals.css new file mode 100644 index 0000000..0668708 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/hsd2514/src/app/globals.css @@ -0,0 +1,13 @@ +@tailwind base; +@tailwind components; +@tailwind utilities; + +body { + min-height: 100vh; +} + +@layer utilities { + .text-balance { + text-wrap: balance; + } +} diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/hsd2514/src/app/layout.tsx b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/hsd2514/src/app/layout.tsx new file mode 100644 index 0000000..966057a --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/hsd2514/src/app/layout.tsx @@ -0,0 +1,23 @@ +import type { Metadata } from "next"; +import { Inter } from "next/font/google"; +import "./globals.css"; + +const inter = Inter({ subsets: ["latin"] }); + +export const metadata: Metadata = { + title: "Difference Array Visualizer", + description: + "Interactive visualizer to understand difference arrays and range updates", +}; + +export default function RootLayout({ + children, +}: { + children: React.ReactNode; +}) { + return ( + + {children} + + ); +} diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/hsd2514/src/app/page.tsx b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/hsd2514/src/app/page.tsx new file mode 100644 index 0000000..a062d74 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/hsd2514/src/app/page.tsx @@ -0,0 +1,5 @@ +import DifferenceArrayVisualizer from "@/components/DifferenceArrayVisualizer"; + +export default function Home() { + return +} diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/hsd2514/src/components/DifferenceArrayVisualizer.tsx b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/hsd2514/src/components/DifferenceArrayVisualizer.tsx new file mode 100644 index 0000000..cb84069 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/hsd2514/src/components/DifferenceArrayVisualizer.tsx @@ -0,0 +1,792 @@ +'use client' + +import { useState, useEffect } from 'react' + +interface RangeUpdate { + L: number + R: number + X: number +} + +interface Step { + type: 'initial' | 'update' | 'prefix' | 'final' + description: string + originalArray: number[] + diffArray: number[] + finalArray: number[] + highlightIndices?: number[] + currentUpdate?: RangeUpdate + prefixIndex?: number +} + +export default function DifferenceArrayVisualizer() { + const [arraySize, setArraySize] = useState(8) + const [initialArray, setInitialArray] = useState(Array(8).fill(0)) + const [rangeUpdates, setRangeUpdates] = useState([]) + const [newL, setNewL] = useState('') + const [newR, setNewR] = useState('') + const [newX, setNewX] = useState('') + const [steps, setSteps] = useState([]) + const [currentStep, setCurrentStep] = useState(0) + const [isPlaying, setIsPlaying] = useState(false) + const [darkMode, setDarkMode] = useState(false) + const [playSpeed, setPlaySpeed] = useState(1500) + const [showCode, setShowCode] = useState(false) + const [showComparison, setShowComparison] = useState(false) + const [editingInitialArray, setEditingInitialArray] = useState(false) + + // Initialize array when size changes + useEffect(() => { + if (!editingInitialArray) { + setInitialArray(Array(arraySize).fill(0)) + } + setRangeUpdates([]) + setSteps([]) + setCurrentStep(0) + }, [arraySize]) + + // Keyboard shortcuts + useEffect(() => { + const handleKeyPress = (e: KeyboardEvent) => { + if (steps.length === 0) return + + switch(e.key) { + case 'ArrowRight': + e.preventDefault() + nextStep() + break + case 'ArrowLeft': + e.preventDefault() + prevStep() + break + case ' ': + e.preventDefault() + setIsPlaying(!isPlaying) + break + case 'r': + case 'R': + if (e.ctrlKey || e.metaKey) return + e.preventDefault() + reset() + break + } + } + + window.addEventListener('keydown', handleKeyPress) + return () => window.removeEventListener('keydown', handleKeyPress) + }, [steps, currentStep, isPlaying]) + + // Preset examples + const loadPreset = (preset: number) => { + setRangeUpdates([]) + setSteps([]) + setCurrentStep(0) + + switch(preset) { + case 1: // Basic Update + setArraySize(8) + setInitialArray(Array(8).fill(0)) + setTimeout(() => { + setRangeUpdates([{ L: 2, R: 5, X: 10 }]) + }, 100) + break + case 2: // Overlapping Updates + setArraySize(8) + setInitialArray(Array(8).fill(0)) + setTimeout(() => { + setRangeUpdates([ + { L: 1, R: 4, X: 5 }, + { L: 3, R: 6, X: 3 } + ]) + }, 100) + break + case 3: // Complex Pattern + setArraySize(10) + setInitialArray(Array(10).fill(0)) + setTimeout(() => { + setRangeUpdates([ + { L: 1, R: 3, X: 10 }, + { L: 5, R: 7, X: -5 }, + { L: 2, R: 8, X: 3 } + ]) + }, 100) + break + } + } + + // Update initial array value + const updateInitialArrayValue = (index: number, value: string) => { + const newArray = [...initialArray] + newArray[index] = parseInt(value) || 0 + setInitialArray(newArray) + } + + // Generate steps for visualization + const generateSteps = () => { + const newSteps: Step[] = [] + + // Step 1: Show initial array + const original = [...initialArray] + const diff = [...initialArray] + + newSteps.push({ + type: 'initial', + description: 'Step 1: Initial Array - This is our starting array', + originalArray: [...original], + diffArray: [...diff], + finalArray: [...original], + }) + + // Process each range update + rangeUpdates.forEach((update, idx) => { + const { L, R, X } = update + + // Show the update being applied to difference array + const prevDiff = [...(newSteps[newSteps.length - 1]?.diffArray || diff)] + const newDiff = [...prevDiff] + + newDiff[L] += X + if (R + 1 < arraySize) { + newDiff[R + 1] -= X + } + + newSteps.push({ + type: 'update', + description: `Step ${newSteps.length + 1}: Apply update [${L}, ${R}] += ${X}. Mark diff[${L}] += ${X}${R + 1 < arraySize ? ` and diff[${R + 1}] -= ${X}` : ''}`, + originalArray: [...original], + diffArray: [...newDiff], + finalArray: [...original], + highlightIndices: R + 1 < arraySize ? [L, R + 1] : [L], + currentUpdate: update, + }) + }) + + // Apply prefix sum to get final array + const finalDiff = newSteps[newSteps.length - 1]?.diffArray || [...diff] + const result = new Array(arraySize).fill(0) + + // Show prefix sum process step by step + for (let i = 0; i < arraySize; i++) { + if (i === 0) { + result[0] = finalDiff[0] + } else { + result[i] = result[i - 1] + finalDiff[i] + } + + newSteps.push({ + type: 'prefix', + description: i === 0 + ? `Step ${newSteps.length + 1}: Prefix Sum - result[0] = diff[0] = ${result[0]}` + : `Step ${newSteps.length + 1}: Prefix Sum - result[${i}] = result[${i-1}] + diff[${i}] = ${result[i - 1]} + ${finalDiff[i]} = ${result[i]}`, + originalArray: [...original], + diffArray: [...finalDiff], + finalArray: [...result], + prefixIndex: i, + }) + } + + // Final result + newSteps.push({ + type: 'final', + description: `Step ${newSteps.length + 1}: Final Array - All range updates applied!`, + originalArray: [...original], + diffArray: [...finalDiff], + finalArray: [...result], + }) + + setSteps(newSteps) + setCurrentStep(0) + } + + const addRangeUpdate = () => { + const L = parseInt(newL) + const R = parseInt(newR) + const X = parseInt(newX) + + if (isNaN(L) || isNaN(R) || isNaN(X)) { + alert('Please enter valid numbers') + return + } + + if (L < 0 || R >= arraySize || L > R) { + alert(`Invalid range. L and R must be between 0 and ${arraySize - 1}, and L ≤ R`) + return + } + + setRangeUpdates([...rangeUpdates, { L, R, X }]) + setNewL('') + setNewR('') + setNewX('') + } + + const removeUpdate = (index: number) => { + setRangeUpdates(rangeUpdates.filter((_, i) => i !== index)) + } + + const nextStep = () => { + if (currentStep < steps.length - 1) { + setCurrentStep(currentStep + 1) + } + } + + const prevStep = () => { + if (currentStep > 0) { + setCurrentStep(currentStep - 1) + } + } + + const reset = () => { + setCurrentStep(0) + setSteps([]) + setRangeUpdates([]) + } + + // Auto-play functionality + useEffect(() => { + let interval: NodeJS.Timeout + if (isPlaying && currentStep < steps.length - 1) { + interval = setInterval(() => { + setCurrentStep((prev) => { + if (prev >= steps.length - 1) { + setIsPlaying(false) + return prev + } + return prev + 1 + }) + }, playSpeed) + } else if (currentStep >= steps.length - 1) { + setIsPlaying(false) + } + return () => clearInterval(interval) + }, [isPlaying, currentStep, steps.length, playSpeed]) + + const currentStepData = steps[currentStep] + + const getArrayColor = (value: number, isDark = darkMode) => { + if (isDark) { + if (value === 0) return 'bg-gray-700 border-gray-600 text-gray-100' + if (value > 0) return 'bg-green-900 border-green-600 text-green-100' + return 'bg-red-900 border-red-600 text-red-100' + } + if (value === 0) return 'bg-gray-100 border-gray-300' + if (value > 0) return 'bg-green-100 border-green-400' + return 'bg-red-100 border-red-400' + } + + // Calculate comparison metrics + const naiveOperations = rangeUpdates.reduce((sum, u) => sum + (u.R - u.L + 1), 0) + const diffArrayOperations = rangeUpdates.length * 2 + arraySize + + return ( +
+
+ {/* Header */} +
+
+ + +
+

+ Difference Array Visualizer +

+

+ Understand range updates using difference arrays and prefix sums +

+
+ ⌨️ Shortcuts: ← → (Navigate) | Space (Play/Pause) | R (Reset) +
+
+ + {/* Preset Examples */} +
+

+ 🚀 Quick Demos +

+
+ + + +
+
+ + {/* Configuration Panel */} +
+

Configuration

+ + {/* Array Size */} +
+ + { + const newSize = parseInt(e.target.value) + setArraySize(newSize) + setEditingInitialArray(false) + }} + className="w-full h-2 bg-slate-200 rounded-lg appearance-none cursor-pointer" + disabled={steps.length > 0} + /> +
+ + {/* Initial Array Editor */} +
+
+ + +
+ {editingInitialArray ? ( +
+ {initialArray.map((val, idx) => ( +
+
{idx}
+ updateInitialArrayValue(idx, e.target.value)} + className={`w-16 h-12 text-center border-2 rounded-lg font-bold ${ + darkMode ? 'bg-gray-700 border-gray-600 text-gray-100' : 'bg-white border-gray-300' + }`} + /> +
+ ))} +
+ ) : ( +
+ {initialArray.map((val, idx) => ( +
+
{idx}
+
+ {val} +
+
+ ))} +
+ )} +
+ + {/* Range Updates */} +
+

Range Updates

+
+ setNewL(e.target.value)} + className={`px-4 py-2 border rounded-lg focus:ring-2 focus:ring-blue-500 focus:border-transparent ${ + darkMode ? 'bg-gray-700 border-gray-600 text-gray-100' : 'border-slate-300' + }`} + disabled={steps.length > 0} + /> + setNewR(e.target.value)} + className={`px-4 py-2 border rounded-lg focus:ring-2 focus:ring-blue-500 focus:border-transparent ${ + darkMode ? 'bg-gray-700 border-gray-600 text-gray-100' : 'border-slate-300' + }`} + disabled={steps.length > 0} + /> + setNewX(e.target.value)} + className={`px-4 py-2 border rounded-lg focus:ring-2 focus:ring-blue-500 focus:border-transparent ${ + darkMode ? 'bg-gray-700 border-gray-600 text-gray-100' : 'border-slate-300' + }`} + disabled={steps.length > 0} + /> + placeholder="R (end)" + value={newR} + onChange={(e) => setNewR(e.target.value)} + className="px-4 py-2 border border-slate-300 rounded-lg focus:ring-2 focus:ring-blue-500 focus:border-transparent" + disabled={steps.length > 0} + /> + setNewX(e.target.value)} + className="px-4 py-2 border border-slate-300 rounded-lg focus:ring-2 focus:ring-blue-500 focus:border-transparent" + disabled={steps.length > 0} + /> + +
+ + {/* Display added updates */} +
+ {rangeUpdates.map((update, idx) => ( +
+ + Update [{update.L}, {update.R}] += {update.X} + + +
+ ))} +
+
+ + {/* Animation Speed Control */} + {steps.length > 0 && ( +
+ +
+ + + +
+
+ )} + + {/* Action Buttons */} +
+ + + {rangeUpdates.length > 0 && ( + + )} +
+ + {/* Complexity Comparison */} + {showComparison && rangeUpdates.length > 0 && ( +
+

+ ⚡ Complexity Comparison +

+
+
+
Naive Approach
+
{naiveOperations}
+
operations (O(q×n))
+
+
+
Difference Array
+
{diffArrayOperations}
+
operations (O(q+n))
+
+
+
+ ⚡ {Math.round((naiveOperations / diffArrayOperations) * 10) / 10}x faster! +
+
+ )} +
+ + {/* Code Display */} + {showCode && ( +
+

+ 📝 Algorithm Code +

+
+ 
{`// Apply Range Updates
+for (let i = 0; i < updates.length; i++) {
+    let L = updates[i].L;
+    let R = updates[i].R;
+    let X = updates[i].X;
+    
+    diff[L] += X;           // Mark start of range
+    if (R + 1 < n) {
+        diff[R + 1] -= X;   // Mark end of range
+    }
+}
+
+// Apply Prefix Sum to get final array
+result[0] = diff[0];
+for (let i = 1; i < n; i++) {
+    result[i] = result[i - 1] + diff[i];
+}
+
+// Time Complexity: O(q + n)
+// Space Complexity: O(n)`}
+
+
+ )} + + {/* Visualization Area */} + {steps.length > 0 && currentStepData && ( +
+ {/* Step Description */} +
+

+ {currentStepData.description} +

+
+ + {/* Arrays Display */} +
+ {/* Original Array */} +
+

+ Original Array +

+
+ {currentStepData.originalArray.map((val, idx) => ( +
+
{idx}
+
+ {val} +
+
+ ))} +
+
+ + {/* Difference Array */} +
+

+ Difference Array + + (Used for range updates) + +

+
+ {currentStepData.diffArray.map((val, idx) => { + const isHighlighted = currentStepData.highlightIndices?.includes(idx) + return ( +
+
{idx}
+
+ {val} +
+
+ ) + })} +
+
+ + {/* Final Array (Result after prefix sum) */} +
+

+ Final Array + + (After applying prefix sum) + +

+
+ {currentStepData.finalArray.map((val, idx) => { + const isCurrentPrefix = currentStepData.prefixIndex === idx + const isComputed = currentStepData.prefixIndex !== undefined && idx <= currentStepData.prefixIndex + return ( +
+
{idx}
+
+ {val} +
+
+ ) + })} +
+
+
+ + {/* Navigation Controls */} +
+
+ + + + +
+
+ Step {currentStep + 1} of {steps.length} +
+
+
+ )} + + {/* Information Panel */} +
+

+ How Difference Arrays Work +

+
+
+

1. Initialize

+

Start with your original array and create a difference array (initially same as original).

+
+
+

2. Apply Updates

+

For each range update [L, R] += X:

+
    +
  • Add X to diff[L]
    • +
  • Subtract X from diff[R+1] (if R+1 exists)
    • +
+

This makes range updates O(1) instead of O(n)!

+
+
+

3. Compute Final Array

+

Apply prefix sum on the difference array to get the final result.

+

result[i] = result[i-1] + diff[i]

+
+
+

💡 Why It's Efficient

+

Multiple range updates in O(1) each, then one O(n) prefix sum at the end.

+

+ Time Complexity: O(q + n) where q = number of updates +

+

+ vs Naive Approach: O(q × n) +

+
+
+
+ + {/* Footer */} +
+

Created by hsd2514 | Part of CodeCraft Range Queries Collection

+
+
+
+ ) +} diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/hsd2514/tailwind.config.ts b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/hsd2514/tailwind.config.ts new file mode 100644 index 0000000..9741492 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/hsd2514/tailwind.config.ts @@ -0,0 +1,19 @@ +import type { Config } from "tailwindcss"; + +const config: Config = { + content: [ + "./src/pages/**/*.{js,ts,jsx,tsx,mdx}", + "./src/components/**/*.{js,ts,jsx,tsx,mdx}", + "./src/app/**/*.{js,ts,jsx,tsx,mdx}", + ], + theme: { + extend: { + animation: { + "pulse-slow": "pulse 2s cubic-bezier(0.4, 0, 0.6, 1) infinite", + "bounce-slow": "bounce 1s infinite", + }, + }, + }, + plugins: [], +}; +export default config; diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/hsd2514/tsconfig.json b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/hsd2514/tsconfig.json new file mode 100644 index 0000000..c133409 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/hsd2514/tsconfig.json @@ -0,0 +1,27 @@ +{ + "compilerOptions": { + "target": "ES2017", + "lib": ["dom", "dom.iterable", "esnext"], + "allowJs": true, + "skipLibCheck": true, + "strict": true, + "noEmit": true, + "esModuleInterop": true, + "module": "esnext", + "moduleResolution": "bundler", + "resolveJsonModule": true, + "isolatedModules": true, + "jsx": "preserve", + "incremental": true, + "plugins": [ + { + "name": "next" + } + ], + "paths": { + "@/*": ["./src/*"] + } + }, + "include": ["next-env.d.ts", "**/*.ts", "**/*.tsx", ".next/types/**/*.ts"], + "exclude": ["node_modules"] +} diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/.gitignore b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/.gitignore new file mode 100644 index 0000000..5ef6a52 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/.gitignore @@ -0,0 +1,41 @@ +# See https://help.github.com/articles/ignoring-files/ for more about ignoring files. + +# dependencies +/node_modules +/.pnp +.pnp.* +.yarn/* +!.yarn/patches +!.yarn/plugins +!.yarn/releases +!.yarn/versions + +# testing +/coverage + +# next.js +/.next/ +/out/ + +# production +/build + +# misc +.DS_Store +*.pem + +# debug +npm-debug.log* +yarn-debug.log* +yarn-error.log* +.pnpm-debug.log* + +# env files (can opt-in for committing if needed) +.env* + +# vercel +.vercel + +# typescript +*.tsbuildinfo +next-env.d.ts diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/README.md b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/README.md new file mode 100644 index 0000000..e215bc4 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/README.md @@ -0,0 +1,36 @@ +This is a [Next.js](https://nextjs.org) project bootstrapped with [`create-next-app`](https://nextjs.org/docs/app/api-reference/cli/create-next-app). + +## Getting Started + +First, run the development server: + +```bash +npm run dev +# or +yarn dev +# or +pnpm dev +# or +bun dev +``` + +Open [http://localhost:3000](http://localhost:3000) with your browser to see the result. + +You can start editing the page by modifying `app/page.tsx`. The page auto-updates as you edit the file. + +This project uses [`next/font`](https://nextjs.org/docs/app/building-your-application/optimizing/fonts) to automatically optimize and load [Geist](https://vercel.com/font), a new font family for Vercel. + +## Learn More + +To learn more about Next.js, take a look at the following resources: + +- [Next.js Documentation](https://nextjs.org/docs) - learn about Next.js features and API. +- [Learn Next.js](https://nextjs.org/learn) - an interactive Next.js tutorial. + +You can check out [the Next.js GitHub repository](https://github.com/vercel/next.js) - your feedback and contributions are welcome! + +## Deploy on Vercel + +The easiest way to deploy your Next.js app is to use the [Vercel Platform](https://vercel.com/new?utm_medium=default-template&filter=next.js&utm_source=create-next-app&utm_campaign=create-next-app-readme) from the creators of Next.js. + +Check out our [Next.js deployment documentation](https://nextjs.org/docs/app/building-your-application/deploying) for more details. diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/app/_components/ArrayGrid.tsx b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/app/_components/ArrayGrid.tsx new file mode 100644 index 0000000..e904dbc --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/app/_components/ArrayGrid.tsx @@ -0,0 +1,94 @@ +import React from "react"; + +type ArrayGridProps = { + data: number[]; + title: string; + subtitle?: string; + getCellStyle?: (index: number) => { + bg?: string; + border?: string; + text?: string; + label?: string; + labelColor?: string; + }; +}; + +export const ArrayGrid: React.FC = ({ + data, + title, + subtitle, + getCellStyle +}) => { + return ( +
+
+

+ {title} +

+ {subtitle && ( + + {subtitle} + + )} +
+ +
+ {data.map((val, idx) => { + const customStyle = getCellStyle ? getCellStyle(idx) : {}; + + const bgClass = customStyle.bg || "bg-white dark:bg-[#1a1b26]"; + const borderClass = customStyle.border || "border-gray-200 dark:border-white/10"; + const textClass = customStyle.text || "text-slate-700 dark:text-slate-200"; + + const isGreen = customStyle.bg?.includes("green"); + const isPurple = customStyle.bg?.includes("purple") || customStyle.bg?.includes("pink"); + + return ( +
+ +
+ {val} + + {isGreen && ( +
+ )} + {isPurple && ( +
+ )} +
+ + + {idx} + + +
+ {customStyle.label && ( + + {customStyle.label} + + )} +
+
+ ); + })} +
+
+ ); +}; \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/app/_components/ControlPanel.tsx b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/app/_components/ControlPanel.tsx new file mode 100644 index 0000000..f1dc4ea --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/app/_components/ControlPanel.tsx @@ -0,0 +1,150 @@ +import React, { useState, useEffect } from "react"; +import { Plus, Settings2 } from "lucide-react"; + +type ControlPanelProps = { + size: number; + setSize: (n: number) => void; + onAddUpdate: (l: number, r: number, val: number) => void; + disabled: boolean; +}; + +export const ControlPanel: React.FC = ({ + size, + setSize, + onAddUpdate, + disabled, +}) => { + const [l, setL] = useState(0); + const [r, setR] = useState(4); + const [val, setVal] = useState(5); + + const [localSize, setLocalSize] = useState(size); + + useEffect(() => { + setLocalSize(size); + }, [size]); + + const handleSizeChange = (e: React.ChangeEvent) => { + const value = e.target.value; + + if (value === "") { + setLocalSize(""); + return; + } + + if (!/^\d*$/.test(value)) { + return; + } + + setLocalSize(value); + + const num = Number(value); + if (!isNaN(num) && num > 0) { + setSize(num); + } + }; + + const handleChange = (setter: React.Dispatch>) => + (e: React.ChangeEvent) => { + setter(e.target.value); + }; + + const handleApply = () => { + onAddUpdate(Number(l), Number(r), Number(val)); + }; + + const inputClass = ` + w-full px-3 py-2.5 + bg-gray-50 dark:bg-[#0B0E14] + border border-gray-200 dark:border-white/10 + rounded-xl + text-slate-800 dark:text-slate-100 + placeholder:text-gray-400 + focus:ring-2 focus:ring-purple-500/50 focus:border-purple-500/50 focus:outline-none + transition-all duration-200 + `; + + const labelClass = "block text-xs font-semibold text-slate-500 dark:text-slate-400 mb-1.5 uppercase tracking-wider"; + + return ( +
+
+ +
+ + +
+
+ +
+ +
+ + +
+
+ Start (L) + +
+
+ End (R) + +
+
+ Value (X) + +
+
+ + +
+
+ ); +}; \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/app/_components/UpdateLog.tsx b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/app/_components/UpdateLog.tsx new file mode 100644 index 0000000..d1138a9 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/app/_components/UpdateLog.tsx @@ -0,0 +1,97 @@ +import React from "react"; +import { Trash2, RotateCcw, AlertCircle } from "lucide-react"; +import { Update } from "../types"; + +type UpdateLogProps = { + updates: Update[]; + onRemove: (id: number) => void; + onReset: () => void; + disabled: boolean; +}; + +export const UpdateLog: React.FC = ({ + updates, + onRemove, + onReset, + disabled, +}) => { + return ( +
+
+

+ Pending Operations +

+ + {updates.length > 0 && ( + + )} +
+ +
+ {updates.length === 0 ? ( +
+ + No updates added yet. +
+ ) : ( +
+ {updates.map((u, idx) => ( +
+
+
+ + + {idx + 1} + + Range [{u.l}, {u.r}] + + + + {u.val > 0 ? "+" : ""}{u.val} + +
+ +
+ + D[{u.l}] += {u.val} + + + D[{u.r + 1}] -= {u.val} + +
+
+ + {!disabled && ( + + )} +
+ ))} +
+ )} +
+
+ ); +}; \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/app/_components/Visualization.tsx b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/app/_components/Visualization.tsx new file mode 100644 index 0000000..30160a9 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/app/_components/Visualization.tsx @@ -0,0 +1,170 @@ +import React from "react"; +import { Play, CheckCircle2 } from "lucide-react"; +import { ArrayGrid } from "./ArrayGrid"; +import { Update } from "../types"; + +type VisualizationProps = { + diffArray: number[]; + finalArray: number[]; + updates: Update[]; + isComputing: boolean; + computeIndex: number; + onStartCompute: () => void; +}; + +export const Visualization: React.FC = ({ + diffArray, + finalArray, + updates, + isComputing, + computeIndex, + onStartCompute, +}) => { + const size = finalArray.length; + + const getDiffCellStyle = (idx: number) => { + const isStart = updates.some((u) => u.l === idx); + const isEndNext = updates.some((u) => u.r + 1 === idx); + + let bg = ""; + let border = ""; + let label = ""; + let labelColor = ""; + + if (isStart && isEndNext) { + bg = "bg-purple-100 dark:bg-purple-500/20"; + border = "border-purple-300 dark:border-purple-500/50"; + label = "L & R+1"; + labelColor = "text-purple-600 dark:text-purple-300"; + } + else if (isStart) { + + bg = "bg-emerald-100 dark:bg-emerald-500/20"; + border = "border-emerald-300 dark:border-emerald-500/50"; + label = "L"; + labelColor = "text-emerald-600 dark:text-emerald-300"; + } + else if (isEndNext) { + // End (R+1) + bg = "bg-pink-100 dark:bg-pink-500/20"; + border = "border-pink-300 dark:border-pink-500/50"; + label = "R+1"; + labelColor = "text-pink-600 dark:text-pink-300"; + } + + return { bg, border, label, labelColor }; + }; + + const getFinalCellStyle = (idx: number) => { + const isActive = idx === computeIndex; + const isComputed = idx < computeIndex; + const isFinished = computeIndex >= size; + + if (isActive) { + return { + bg: "bg-gradient-to-br from-purple-600 to-pink-600 text-white shadow-lg shadow-purple-500/40 scale-110 z-10", + border: "border-transparent ring-2 ring-purple-200 dark:ring-purple-900", + text: "text-white" + }; + } + if (isComputed || isFinished) { + return { + bg: "bg-indigo-50 dark:bg-indigo-900/20", + border: "border-indigo-200 dark:border-indigo-500/30", + text: "text-indigo-900 dark:text-indigo-200" + }; + } + return { + bg: "bg-gray-50 dark:bg-white/5", + border: "border-gray-200 dark:border-white/5", + text: "text-gray-300 dark:text-gray-600" + }; + }; + + return ( +
+ +
+ +
+ +
+
+ + +
+ +
+ +
+ + (i < computeIndex || computeIndex >= size) ? v : 0)} + title="2. Final Array (Prefix Sum)" + subtitle="A[i] = A[i-1] + D[i]" + getCellStyle={getFinalCellStyle} + /> + +
+ {isComputing && computeIndex >= 0 && computeIndex < size ? ( +
+ + A[{computeIndex}] = + +
+ + {computeIndex > 0 ? finalArray[computeIndex-1] : 0} + + + + + {diffArray[computeIndex]} + + = + + {finalArray[computeIndex]} + +
+
+ ) : computeIndex >= size ? ( + + + Computation Complete! + + ) : ( + + Waiting to start computation... + + )} +
+
+
+ ); +}; \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/app/favicon.ico b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/app/favicon.ico new file mode 100644 index 0000000..718d6fe Binary files /dev/null and b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/app/favicon.ico differ diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/app/globals.css b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/app/globals.css new file mode 100644 index 0000000..1c196ba --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/app/globals.css @@ -0,0 +1,18 @@ +@import "tailwindcss"; + +:root { + --background: #ffffff; + --foreground: #171717; +} + +.dark { + --background: #0a0a0a; + --foreground: #ededed; +} + +body { + background: var(--background); + color: var(--foreground); + font-family: var(--font-sans), Arial, Helvetica, sans-serif; +} + diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/app/hooks/useDiffArray.ts b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/app/hooks/useDiffArray.ts new file mode 100644 index 0000000..213c99f --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/app/hooks/useDiffArray.ts @@ -0,0 +1,89 @@ +import { useState, useEffect, useCallback } from "react"; +import { Update } from "../types"; + +export const useDiffArray = () => { + const [size, setSize] = useState(10); + const [updates, setUpdates] = useState([]); + + const [diffArray, setDiffArray] = useState([]); + const [finalArray, setFinalArray] = useState([]); + + const [isComputing, setIsComputing] = useState(false); + const [computeIndex, setComputeIndex] = useState(-1); + + useEffect(() => { + resetVisualizer(); + }, [size]); + + useEffect(() => { + const newDiff = new Array(size + 1).fill(0); + updates.forEach((u) => { + if (u.l < newDiff.length) newDiff[u.l] += u.val; + if (u.r + 1 < newDiff.length) newDiff[u.r + 1] -= u.val; + }); + setDiffArray(newDiff); + setComputeIndex(-1); + setIsComputing(false); + setFinalArray(new Array(size).fill(0)); + }, [updates, size]); + + useEffect(() => { + let interval: NodeJS.Timeout; + + if (isComputing && computeIndex < size) { + interval = setTimeout(() => { + setFinalArray((prev) => { + const next = [...prev]; + const prevVal = computeIndex === 0 ? 0 : next[computeIndex - 1]; + next[computeIndex] = prevVal + diffArray[computeIndex]; + return next; + }); + setComputeIndex((prev) => prev + 1); + }, 600); + } else if (computeIndex >= size) { + setIsComputing(false); + } + + return () => clearTimeout(interval); + }, [isComputing, computeIndex, diffArray, size]); + + const resetVisualizer = useCallback(() => { + setUpdates([]); + setDiffArray(new Array(size + 1).fill(0)); + setFinalArray(new Array(size).fill(0)); + setComputeIndex(-1); + setIsComputing(false); + }, [size]); + + const addUpdate = (l: number, r: number, val: number) => { + if (l < 0 || r >= size || l > r) { + alert(`Invalid Range: Ensure 0 <= L <= R < ${size}`); + return; + } + setUpdates((prev) => [...prev, { l, r, val, id: Date.now() }]); + }; + + const removeUpdate = (id: number) => { + setUpdates((prev) => prev.filter((u) => u.id !== id)); + }; + + const startComputation = () => { + setFinalArray(new Array(size).fill(0)); + setComputeIndex(0); + setIsComputing(true); + }; + + return { + size, + setSize, + updates, + addUpdate, + removeUpdate, + diffArray, + finalArray, + startComputation, + resetVisualizer, + isComputing, + computeIndex, + }; +}; \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/app/layout.tsx b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/app/layout.tsx new file mode 100644 index 0000000..f7fa87e --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/app/layout.tsx @@ -0,0 +1,34 @@ +import type { Metadata } from "next"; +import { Geist, Geist_Mono } from "next/font/google"; +import "./globals.css"; + +const geistSans = Geist({ + variable: "--font-geist-sans", + subsets: ["latin"], +}); + +const geistMono = Geist_Mono({ + variable: "--font-geist-mono", + subsets: ["latin"], +}); + +export const metadata: Metadata = { + title: "Create Next App", + description: "Generated by create next app", +}; + +export default function RootLayout({ + children, +}: Readonly<{ + children: React.ReactNode; +}>) { + return ( + + + {children} + + + ); +} diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/app/page.tsx b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/app/page.tsx new file mode 100644 index 0000000..e9b7ab0 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/app/page.tsx @@ -0,0 +1,119 @@ +"use client"; + +import { useDiffArray } from "./hooks/useDiffArray"; +import { ControlPanel } from "./_components/ControlPanel"; +import { UpdateLog } from "./_components/UpdateLog"; +import { Visualization } from "./_components/Visualization"; + +const DiffArrayPage = () => { + const { + size, + setSize, + updates, + addUpdate, + removeUpdate, + diffArray, + finalArray, + startComputation, + resetVisualizer, + isComputing, + computeIndex, + } = useDiffArray(); + + return ( +
+ +
+
+
+
+
+ +
+ +
+
+

+ + Difference Array + {" "} + Visualizer +

+

+ Master range updates with O(1) efficiency and linear reconstruction. +

+
+
+ +
+ +
+ +
+
+
+
+

Configuration

+
+ +
+
+ +
+
+
+
+

Operation Log

+
+
+ +
+
+
+ +
+ +
+
+ +
+
+
+
+
+
+
+ Live Visualizer +
+
+ +
+ +
+
+
+ +
+
+
+ ); +}; + +export default DiffArrayPage; \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/app/types.ts b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/app/types.ts new file mode 100644 index 0000000..889374e --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/app/types.ts @@ -0,0 +1,6 @@ +export type Update = { + id: number; + l: number; + r: number; + val: number; +}; \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/eslint.config.mjs b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/eslint.config.mjs new file mode 100644 index 0000000..05e726d --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/eslint.config.mjs @@ -0,0 +1,18 @@ +import { defineConfig, globalIgnores } from "eslint/config"; +import nextVitals from "eslint-config-next/core-web-vitals"; +import nextTs from "eslint-config-next/typescript"; + +const eslintConfig = defineConfig([ + ...nextVitals, + ...nextTs, + // Override default ignores of eslint-config-next. + globalIgnores([ + // Default ignores of eslint-config-next: + ".next/**", + "out/**", + "build/**", + "next-env.d.ts", + ]), +]); + +export default eslintConfig; diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/next.config.ts b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/next.config.ts new file mode 100644 index 0000000..e9ffa30 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/next.config.ts @@ -0,0 +1,7 @@ +import type { NextConfig } from "next"; + +const nextConfig: NextConfig = { + /* config options here */ +}; + +export default nextConfig; diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/package-lock.json 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b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/package.json @@ -0,0 +1,28 @@ +{ + "name": "saumya", + "version": "0.1.0", + "private": true, + "scripts": { + "dev": "next dev", + "build": "next build", + "start": "next start", + "lint": "eslint" + }, + "dependencies": { + "lucide-react": "^0.562.0", + "next": "16.1.1", + "next-themes": "^0.4.6", + "react": "19.2.3", + "react-dom": "19.2.3" + }, + "devDependencies": { + "@tailwindcss/postcss": "^4", + "@types/node": "^20", + "@types/react": "^19", + "@types/react-dom": "^19", + "eslint": "^9", + "eslint-config-next": "16.1.1", + "tailwindcss": "^4", + "typescript": "^5" + } +} diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/postcss.config.mjs b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/postcss.config.mjs new file mode 100644 index 0000000..61e3684 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/postcss.config.mjs @@ -0,0 +1,7 @@ +const config = { + plugins: { + "@tailwindcss/postcss": {}, + }, +}; + +export default config; diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/public/file.svg b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/public/file.svg new file mode 100644 index 0000000..004145c --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/public/file.svg @@ -0,0 +1 @@ + \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/public/globe.svg b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/public/globe.svg new file mode 100644 index 0000000..567f17b --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/public/globe.svg @@ -0,0 +1 @@ + \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/public/next.svg 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b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/public/window.svg @@ -0,0 +1 @@ + \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/tsconfig.json b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/tsconfig.json new file mode 100644 index 0000000..3a13f90 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/DifferenceArray/visualizer/saumya/tsconfig.json @@ -0,0 +1,34 @@ +{ + "compilerOptions": { + "target": "ES2017", + "lib": ["dom", "dom.iterable", "esnext"], + "allowJs": true, + "skipLibCheck": true, + "strict": true, + "noEmit": true, + "esModuleInterop": true, + "module": "esnext", + "moduleResolution": "bundler", + "resolveJsonModule": true, + "isolatedModules": true, + "jsx": "react-jsx", + "incremental": true, + "plugins": [ + { + "name": "next" + } + ], + "paths": { + "@/*": ["./*"] + } + }, + "include": [ + "next-env.d.ts", + "**/*.ts", + "**/*.tsx", + ".next/types/**/*.ts", + ".next/dev/types/**/*.ts", + "**/*.mts" + ], + "exclude": ["node_modules"] +} diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/readme.md b/CodeCraft-main/algos/range_queries/PrefixSum/readme.md new file mode 100644 index 0000000..799e5ce --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/readme.md @@ -0,0 +1,175 @@ +# Prefix Sum Mastery Guide +Efficient technique to answer range sum queries in `O(1)` time after preprocessing. + +--- + +## Motivation: The Brute Force Bottleneck + +### The Problem +Given an array of integers, answer multiple queries of the form: +> What is the sum of elements from index **L** to **R** (inclusive)? + +### Why Brute Force Fails +- **Process:** Summing elements for each query requires a loop from `L` to `R`. +- **Complexity:** `O(N)` per query. +- **Scale:** For `Q` queries, the total time is `O(N × Q)`. If `N` and `Q` are both `10^5`, you face `10^10` operations—too slow for standard execution time limits (usually `10^8` ops/sec). + +--- + +## Key Idea & Intuition + +### The Core Concept +Instead of recomputing sums repeatedly, **store cumulative sums once**. + +If you know: +1. The total sum from index `0 → R` +2. The total sum from index `0 → L-1` + +Then the middle section (`L` to `R`) is simply the difference: +> **Range Sum (L, R) = Prefix[R] − Prefix[L − 1]** + + + +### Mental Model +Think of prefix sum as a **"running total"** or **"accumulation"** up to a specific point. +- ❌ No loops per query +- ✅ Precompute once (`O(N)`) +- ✅ Reuse previous work (`O(1)`) + +--- + +## Algorithm Step-by-Step + +### The Build Process +1. Create a `prefix` array of the same size as the input. +2. Set `prefix[0] = array[0]`. +3. For each index `i` from `1` to `n-1`: + - `prefix[i] = prefix[i-1] + array[i]` +4. **To Query (L, R):** + - If `L == 0`: Return `prefix[R]` + - Else: Return `prefix[R] - prefix[L-1]` + +--- + +## Implementation + +### C++ Code +```cpp +#include +using namespace std; + +// O(N) Preprocessing +vector buildPrefixSum(const vector& arr) { + int n = arr.size(); + if (n == 0) return {}; + + vector prefix(n); + prefix[0] = arr[0]; + + for (int i = 1; i < n; i++) { + prefix[i] = prefix[i - 1] + arr[i]; + } + return prefix; +} + +// O(1) Query +long long rangeSum(const vector& prefix, int L, int R) { + if (L == 0) return prefix[R]; + return prefix[R] - prefix[L - 1]; +} +``` +--- + +## Example Walkthrough & Visualizer + +### Dataset Step-by-Step +**Input Array:** `[2, -1, 3, 5, -2, 4]` + + + +| Index | Value (A) | Calculation | **Prefix Sum (P)** | +| :--- | :--- | :--- | :--- | +| 0 | 2 | 2 | **2** | +| 1 | -1 | 2 + (-1) | **1** | +| 2 | 3 | 1 + 3 | **4** | +| 3 | 5 | 4 + 5 | **9** | +| 4 | -2 | 9 + (-2) | **7** | +| 5 | 4 | 7 + 4 | **11** | + +### Query Example +**Problem:** Find the sum of elements from index **2** to **5**. +- **Variables:** `L = 2, R = 5` +- **Formula:** `P[R] - P[L-1]` +- **Substitution:** `P[5] - P[1]` $\rightarrow$ `11 - 1` +- **Result:** **10** + +*Manual Verification:* `3 + 5 + (-2) + 4 = 10`. ✅ + +### 🎥 Interactive Trace +To see this accumulation and subtraction logic in action with custom data, use the interactive tool: +👉 **[Prefix Sum Visualizer](https://pholio.pearl99z.tech/extensions/prefixsum)** + +--- + +## Complexity Analysis + +| Phase | Time Complexity | Space Complexity | +| :--- | :--- | :--- | +| **Preprocessing (Building)** | `O(N)` | `O(N)` | +| **Range Query** | `O(1)` | `O(1)` | + +> **Trade-off:** We use `O(N)` extra space to achieve the fastest possible query time. + +--- + +## Practical Considerations & Edge Cases + +### The Zero-Index Trap (`L = 0`) +When `L = 0`, the formula `P[R] - P[L-1]` attempts to access `P[-1]`, which will cause a segmentation fault or crash. +**Solution:** +```cpp +if (L == 0) return prefix[R]; +else return prefix[R] - prefix[L-1]; +``` +## ⚠️ Integer Overflow + +For large arrays (e.g., `N = 10^5`) with large values (e.g., `A[i] = 10^9`), the cumulative sum can exceed the 32-bit integer limit (`2,147,483,647`). + +**Solution:** +- Use `long long` in **C++** +- Use `long` in **Java** + +--- + +## When to Use vs. When Not to Use + +### Use When: +- The array is **static** (no updates). +- You have **many range queries**. +- You are solving **subarray-related problems**. + +### Do NOT Use When: +- The array is **frequently updated**. + +--- + +## Practice Problems + +| # | Problem | Difficulty | +|---|--------|------------| +| 1 | [Problem 1](https://leetcode.com/problems/range-sum-query-immutable/description/) | Easy | +| 2 | [Problem 2](https://leetcode.com/problems/running-sum-of-1d-array/description/) | Easy | +| 3 | [Problem 3](https://codeforces.com/problemset/problem/1605/B) | Medium | +| 4 | [Problem 4](https://codeforces.com/problemset/problem/1843/E) | Medium | +| 5 | [Problem 5](#) | Hard | +| 6 | [Problem 6](#) | Hard | + + +## Alternative Data Structures + +- **Fenwick Tree (Binary Indexed Tree)** +- **Segment Tree** + +Both support **updates and queries in `O(log N)` time**. + + diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/Abhigyan/Solution1.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Abhigyan/Solution1.cpp new file mode 100644 index 0000000..28d74e3 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Abhigyan/Solution1.cpp @@ -0,0 +1,32 @@ +// Problem1: Range Sum Query - Immutable ----Asked to find the sum of a bounded continuous range in an array (given left and right ends) +//Leetcode submission: https://leetcode.com/problems/range-sum-query-immutable/submissions/1866107240/ +class NumArray { +public: + vector presum; + NumArray(vector& nums) { + int n=nums.size(); + presum.resize(n+1,0); + for(int i=0;i [1,1+2,1+2+4,1+2+4+5,1+2+4+5+2] +// Leetcode submission: https://leetcode.com/problems/running-sum-of-1d-array/submissions/1866109629/ +class Solution { +public: + vector runningSum(vector& nums) { + int n=nums.size(); + vector presum(n); + presum[0]=nums[0]; + for(int i=1;i +using namespace std; + +class NumArray { +public: + vector prefix; + NumArray(vector& nums) { + int x = 0; + for (int i : nums) { + x += i; + prefix.push_back(x); + } + } + + int sumRange(int left, int right) { + if (left > 0) + return prefix[right] - prefix[left - 1]; + else + return prefix[right]; + } +}; + +/** + * Your NumArray object will be instantiated and called as such: + * NumArray* obj = new NumArray(nums); + * int param_1 = obj->sumRange(left,right); + */ diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/Adarsh Yadav/Solution2.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Adarsh Yadav/Solution2.cpp new file mode 100644 index 0000000..fe0746a --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Adarsh Yadav/Solution2.cpp @@ -0,0 +1,24 @@ +/* Problem: Leetcode 1480- Running Sum of 1d Array + +Approach: We create a prefix Sum array that stores the running sum and we output the prefix sum array . +prefix[i]=prefix[1]+prefix[2]...prefix[i] + +TC: O(N) +SC: O(N) + */ + +#include +using namespace std; + +class Solution { +public: + vector runningSum(vector& nums) { + vector prefix; + int k=0; + for(int i : nums){ + k+=i; + prefix.push_back(k); + } + return prefix; + } +}; diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/Adarsh/solution1.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Adarsh/solution1.cpp new file mode 100644 index 0000000..077d695 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Adarsh/solution1.cpp @@ -0,0 +1,56 @@ +#include +using namespace std; +#define int long long +#define INF (int)1e18 +#define MOD 1000000007 +#define MOD1 998244353 + +mt19937_64 RNG(chrono::steady_clock::now().time_since_epoch().count()); + +/* +problem statement :- You have given some array a and also you have given multiple +queries q +in each query you have given indices l, r and you have to tell sum of the elements +in this range + +naive approach time complexity will be O(n*q) where we can just iterate every time +on given range and tell the sum + +but better approach will be to precompute the sum in prefix sum array and then +for each query we can answer the range in O(1) +therefore time complexity will be O(n + q) + +idea is to get sum of range l, r, since we will be knowing sum till r, if we +subtract the sum from l-1 index then we will get sum in range l to r +*/ + +void Solve() +{ + int n, q; cin >> n >> q; + vector a(n); + for (auto &it : a) cin >> it; // array input + vector pf(n+1); + for (int i = 1; i <= n; i++) pf[i] = pf[i-1] + a[i-1]; + + while (q--) { + int l, r; cin >> l >> r; + cout << pf[r] - pf[l-1] << '\n'; + } +} + +int32_t main() +{ + /*Jai Shree Krishna*/ + ios_base::sync_with_stdio(0); + cin.tie(0); + int t = 1; + // freopen("in", "r", stdin); + // freopen("out", "w", stdout); + + cin >> t; + for(int i = 1; i <= t; i++) + { + //cout << "Case #" << i << ": "; + Solve(); + } +} \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/Adarsh/solution2.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Adarsh/solution2.cpp new file mode 100644 index 0000000..1897c1a --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Adarsh/solution2.cpp @@ -0,0 +1,44 @@ +#include +using namespace std; +#define int long long +#define INF (int)1e18 +#define MOD 1000000007 +#define MOD1 998244353 + +mt19937_64 RNG(chrono::steady_clock::now().time_since_epoch().count()); +/* +problem statement :- in this problem we have to tell sum till index i from index 0 + +solution :- make a sum = 0, add the array[i] in sum and print it and move +time complexity would be O(n) and space complexity would be O(1) +*/ +void Solve() +{ + int n; cin >> n; + vector a(n); + for (auto &it : a) cin >> it; + + int sum = 0; // this will just maintain running sum + for (int i = 0; i < n; i++) { + sum += a[i]; + cout << sum << ' '; + } + cout << '\n'; +} + +int32_t main() +{ + /*Jai Shree Krishna*/ + ios_base::sync_with_stdio(0); + cin.tie(0); + int t = 1; + // freopen("in", "r", stdin); + // freopen("out", "w", stdout); + + cin >> t; + for(int i = 1; i <= t; i++) + { + //cout << "Case #" << i << ": "; + Solve(); + } +} \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/Aditya Pratap Singh/Solution1.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Aditya Pratap Singh/Solution1.cpp new file mode 100644 index 0000000..3a5d9e2 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Aditya Pratap Singh/Solution1.cpp @@ -0,0 +1,72 @@ +/* +------------------------------------------------------------ +Problem Statement: Range Sum Query - Immutable (LeetCode 303) +Given an integer array nums, handle multiple queries of the following type: + +Calculate the sum of the elements of nums between indices left and right inclusive where left <= right. +Implement the NumArray class: + +NumArray(int[] nums) Initializes the object with the integer array nums. +int sumRange(int left, int right) Returns the sum of the elements of nums between indices left and right inclusive (i.e. nums[left] + nums[left + 1] + ... + nums[right]). + +------------------------------------------------------------ +Approach (Using Prefix Sum): + +We preprocess the array to create a prefix sum array where: +prefix[i] = sum of elements from index 0 to i. + +Then, the sum of elements in range [left, right] is: +- prefix[right], if left == 0 +- prefix[right] - prefix[left - 1], otherwise + +This allows each query to be answered in O(1) time. + +------------------------------------------------------------ +Time Complexity: +- Preprocessing: O(n) +- Each query: O(1) + +Space Complexity: +- O(n) for the prefix sum array + +------------------------------------------------------------ +Example: +Input: +nums = [1, 2, 3, 4] +sumRange(1, 3) + +Output: +9 (2 + 3 + 4) + +------------------------------------------------------------ +*/ + +#include +using namespace std; + +class NumArray +{ +private: + vector prefix; + +public: + // Constructor to build prefix sum array + NumArray(vector &nums) + { + prefix.resize(nums.size()); + prefix[0] = nums[0]; + + for (int i = 1; i < nums.size(); i++) + { + prefix[i] = prefix[i - 1] + nums[i]; + } + } + + // Returns sum of elements from index left to right (inclusive) + int sumRange(int left, int right) + { + if (left == 0) + return prefix[right]; + return prefix[right] - prefix[left - 1]; + } +}; diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/Aditya Pratap Singh/Solution2.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Aditya Pratap Singh/Solution2.cpp new file mode 100644 index 0000000..333bbc2 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Aditya Pratap Singh/Solution2.cpp @@ -0,0 +1,56 @@ +/* +------------------------------------------------------------ +Problem Statement: Running Sum of 1D Array (LeetCode 1480) + +Short Problem Statement: +Given an array nums, return the running sum of the array, +where runningSum[i] is the sum of all elements from index +0 to i. + +------------------------------------------------------------ +Approach (Using Prefix Sum): + +We construct a prefix sum array where: +prefixSum[i] = prefixSum[i - 1] + nums[i] + +The first element remains the same since it has no +previous elements. + +------------------------------------------------------------ +Time Complexity: +- O(n), where n is the size of the array + +Space Complexity: +- O(n) for the prefix sum array + +------------------------------------------------------------ +Example: +Input: +nums = [1, 2, 3, 4] + +Output: +[1, 3, 6, 10] + +------------------------------------------------------------ +*/ + +#include +using namespace std; + +class Solution +{ +public: + vector runningSum(vector &nums) + { + int n = nums.size(); + vector prefixSumArray(n); + + prefixSumArray[0] = nums[0]; + for (int i = 1; i < n; i++) + { + prefixSumArray[i] = prefixSumArray[i - 1] + nums[i]; + } + + return prefixSumArray; + } +}; diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/AmanMehta22/Solution1.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/AmanMehta22/Solution1.cpp new file mode 100644 index 0000000..6769831 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/AmanMehta22/Solution1.cpp @@ -0,0 +1,19 @@ +// class NumArray { +// public: +// vectornums; +// NumArray(vector& nums) { +// this->nums=nums; +// } + +// int sumRange(int left, int right) { +// int sum=0; +// for(int i=left;i<=right;i++)sum+=nums[i]; +// return sum; +// } +// }; + +/** + * Your NumArray object will be instantiated and called as such: + * NumArray* obj = new NumArray(nums); + * int param_1 = obj->sumRange(left,right); + */ \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/AmanMehta22/Solution2.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/AmanMehta22/Solution2.cpp new file mode 100644 index 0000000..7c80829 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/AmanMehta22/Solution2.cpp @@ -0,0 +1,12 @@ +// class Solution { +// public: +// vector runningSum(vector& nums) { +// vectora; +// int sum=0; +// for(int i=0;i +using namespace std; + +class NumArray { + vector prefix; +public: + NumArray(vector& nums) { + int n = nums.size(); + prefix.resize(n); + prefix[0] = nums[0]; + for (int i = 1; i < n; i++) { + prefix[i] = prefix[i-1] + nums[i]; + } + } + + int sumRange(int left, int right) { + if (left == 0) { + return prefix[right]; + } + return prefix[right] - prefix[left-1]; + } +}; \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/Apoorv012/Solution2.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Apoorv012/Solution2.cpp new file mode 100644 index 0000000..e9f6151 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Apoorv012/Solution2.cpp @@ -0,0 +1,26 @@ +/* + +Given an array nums. We define a running sum of an array as runningSum[i] = sum(nums[0]…nums[i]). +Return the running sum of nums. + +Time: O(n) +Space: O(1) - no auxilary space + +Link: https://leetcode.com/problems/running-sum-of-1d-array/submissions/1866571252/ + +*/ + +#include +using namespace std; + +class Solution { +public: + vector runningSum(vector& nums) { + vector ans(nums.size()); + ans[0] = nums[0]; + for (int i = 1; i < nums.size(); i++) { + ans[i] = ans[i-1] + nums[i]; + } + return ans; + } +}; \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/Apoorv012/Solution3.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Apoorv012/Solution3.cpp new file mode 100644 index 0000000..895d8d2 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Apoorv012/Solution3.cpp @@ -0,0 +1,87 @@ +/* + +Ashish has a binary string s of length n that he wants to sort in non-decreasing order. +Choose a subsequence of any length such that its elements are in non-increasing order. +Reverse this subsequence in-place. + +Time: O(n) +Space: O(n) + +Link: https://codeforces.com/contest/1605/submission/355290481 + +*/ + +#include +using namespace std; + +using ll = long long; +const ll MOD = 998244353; + +void solve() { + int n; + cin >> n; + string s; + cin >> s; + + // cout << "n, s: " << n << " " << s << endl; + + int st = 0, en = n-1; + vector ones, zeroes; + while (st < en) { + // cout << st << " -=- " << en << endl; + bool oneFound = false, zeroFound = false; + while (st < n && s[st] == '0') { + st++; + } + if (st < n) oneFound = true; + // cout << "found one at " << st << endl; + while (en >= 0 && s[en] == '1') { + en--; + } + if (en >= 0) zeroFound = true; + // cout << "found zero at " << en << endl; + // cout << oneFound << " " << zeroFound << endl; + if (oneFound && zeroFound) { + // cout << "meow\n"; + if (st < en) { + // cout << "yes\n"; + ones.push_back(st++ + 1); + zeroes.push_back(en-- + 1); + continue; + } + else break; + } + else { + break; + } + } + + if (!ones.size()) { + cout << 0 << endl; + return; + } + + reverse(zeroes.begin(), zeroes.end()); + + cout << 1 << endl; + cout << (2 * ones.size()) << " "; + for (auto el: ones) cout << el << " "; + for (auto el: zeroes) cout << el << " "; + + cout << endl; + +} + +int main() { + ios::sync_with_stdio(false); + cin.tie(nullptr); + + int t = 1; + cin >> t; + + while (t--) { + solve(); + } + + return 0; +} \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/Apoorv012/Solution4.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Apoorv012/Solution4.cpp new file mode 100644 index 0000000..d780954 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Apoorv012/Solution4.cpp @@ -0,0 +1,91 @@ +/* + +You are given an array a consisting of n zeros. You are also given a set of m not necessarily different segments. Each segment is defined by two numbers li and ri (1≤li≤ri≤n) and represents a subarray ali,ali+1,…,ari of the array a. +You also have q changes. For each change you are given the number 1≤x≤n, which means that you must assign an element ax the value 1. +You have to find the first change after which at least one of m given segments becomes beautiful, or report that none of them is beautiful after processing all q changes. + +Time: O((n+m) log q) +Space: O(n) + +Link: https://codeforces.com/contest/1843/submission/355296312 + +*/ + +#include +using namespace std; + +using ll = long long; +const ll MOD = 998244353; + +void solve() { + int n, m; + cin >> n >> m; + vector v(n, 0); + vector> segments(m); + for (int i = 0; i < m; i++) { + cin >> segments[i].first >> segments[i].second; + segments[i].first--; + } + int q; + cin >> q; + vector changes(q); + for (int i = 0; i < q; i++) { + cin >> changes[i]; + changes[i]--; + } + + int left = 0, right = q+1; + while (left < right) { + // cout << left << " " << right << endl; + int mid = (left + right) / 2; + vector curr(n, 0); + for (int i = 0; i < mid; i++) { + // cout << "-" << changes[i] << endl; + curr[changes[i]] = 1; + } + + vector prefix(n+1, 0); + prefix[0] = 0; + for (int i = 1; i <= n; i++) { + prefix[i] = prefix[i-1] + curr[i-1]; + } + int works = false; + for (int i = 0; i < m; i++) { + int start = segments[i].first, stop = segments[i].second; + int sum = prefix[stop] - prefix[start]; + int len = stop - start; + if (sum > (len/2)) { + works = true; + break; + } + } + if (works) { + right = mid; + } + else { + left = mid + 1; + } + } + // cout << "ANSWER: "; + if (right == q+1) { + cout << -1 << endl; + } + else { + cout << right << endl; + } + +} + +int main() { + ios::sync_with_stdio(false); + cin.tie(nullptr); + + int t = 1; + cin >> t; + + while (t--) { + solve(); + } + + return 0; +} \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/BEESA-MANISH/Solution3.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/BEESA-MANISH/Solution3.cpp new file mode 100644 index 0000000..946dd9c --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/BEESA-MANISH/Solution3.cpp @@ -0,0 +1,72 @@ +/* +TC - O(N) + +SC -O(N) + +*/ + +// Submission LINK -https://codeforces.com/contest/1843/submission/355832183 + +#include +#include +#include +using namespace std; +bool check(int mid, int n, int m, const vector>& segments, const vector& queries) { + vector a(n + 1, 0); + for (int i = 0; i < mid; ++i) { + a[queries[i]] = 1; + } + vector pref(n + 1, 0); + for (int i = 1; i <= n; ++i) { + pref[i] = pref[i - 1] + a[i]; + } + + for (int i = 0; i < m; ++i) { + int l = segments[i].first; + int r = segments[i].second; + int len = r - l + 1; + int cnt1 = pref[r] - pref[l - 1]; + if (cnt1 * 2 > len) { + return true; + } + } + return false; +} + +void solve() { + int n, m; + cin >> n >> m; + vector> segments(m); + for (int i = 0; i < m; ++i) { + cin >> segments[i].first >> segments[i].second; + } + + int q; + cin >> q; + vector queries(q); + for (int i = 0; i < q; ++i) { + cin >> queries[i]; + } + + int low = 1, high = q, ans = -1; + while (low <= high) { + int mid = low + (high - low) / 2; + if (check(mid, n, m, segments, queries)) { + ans = mid; + high = mid - 1; + } else { + low = mid + 1; + } + } + + cout << ans << "\n"; +} + +int main() { + int t; + cin >> t; + while (t--) { + solve(); + } + return 0; +} \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/BEESA-MANISH/Solution4.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/BEESA-MANISH/Solution4.cpp new file mode 100644 index 0000000..5c08f4e --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/BEESA-MANISH/Solution4.cpp @@ -0,0 +1,55 @@ +/* + +Time: O((n+m) log q) +Space: O(n) + + +*/ + +// Submission LINK - https://codeforces.com/contest/1605/submission/355832296 + +#include +#include +#include +#include +using namespace std; +void solve() { + int n; + cin >> n; + string s; + cin >> s; + if (is_sorted(s.begin(), s.end())) { + cout << 0 << endl; + return; + } + int zero_count = 0; + for (char c : s) { + if (c == '0') zero_count++; + } + vector indices; + for (int i = 0; i < zero_count; ++i) { + if (s[i] == '1') { + indices.push_back(i + 1); + } + } + for (int i = zero_count; i < n; ++i) { + if (s[i] == '0') { + indices.push_back(i + 1); + } + } + cout << 1 << endl; + cout << indices.size(); + for (int idx : indices) { + cout << " " << idx; + } + cout << endl; +} + +int main() { + int t; + cin >> t; + while (t--) { + solve(); + } + return 0; +} \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/Coldesy/solution1.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Coldesy/solution1.cpp new file mode 100644 index 0000000..86ae2a5 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Coldesy/solution1.cpp @@ -0,0 +1,38 @@ +#include +using namespace std; + +// Problem Statement: Create a class to calculate the sum of the elements of nums between indices left and right inclusive where left <= right. + +//Approach: We create a prefix array whose first element is arr[0] and the i th element is +// (i-1) th element + arr[i] + +// Time Complexity: O(n) +// Space Complexity: O(n) where n is the size of input array + + +class NumArray { + vector prefix; +public: + NumArray(vector& arr) { + int n = arr.size(); + if (n == 0) return; + + + prefix.resize(n); + prefix[0] = arr[0]; + + for (int i = 1; i < n; i++) { + prefix[i] = prefix[i - 1] + arr[i]; + } + + } + + int sumRange(int left, int right) { + if (left == 0) return prefix[right]; + return prefix[right] - prefix[left- 1]; + + } +}; +// Example: +// NumArray numArray = new NumArray([-2, 0, 3, -5, 2, -1]); +// numArray.sumRange(0, 2); This returns (-2 + 0 + 3 = 1) diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/Coldesy/solution2.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Coldesy/solution2.cpp new file mode 100644 index 0000000..5a4e204 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Coldesy/solution2.cpp @@ -0,0 +1,29 @@ +#include +using namespace std; + + + +// Problem Statement: Create a function to calculate the runningSum(i)(i.e. sum of arr[i] + all previous elements) which is basically i th // element in prefix sum array + +//Approach: We create a prefix array whose first element is arr[0] and the i th element is +// (i-1) th element + arr[i] + +// Time Complexity: O(n) +// Space Complexity: O(n) where n is the size of input array + + + +class Solution { +public: + vector runningSum(vector& arr) { + vector prefix; + int n = arr.size(); + prefix.resize(n); + prefix[0] = arr[0]; + + for (int i = 1; i < n; i++) { + prefix[i] = prefix[i - 1] + arr[i]; + } + return prefix; + } +}; diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/Coldesy/solution3.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Coldesy/solution3.cpp new file mode 100644 index 0000000..019d991 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Coldesy/solution3.cpp @@ -0,0 +1,80 @@ +// Problem statement: Ashish has a binary string s +// of length n +// that he wants to sort in non-decreasing order. + +// He can perform the following operation: + +// Choose a subsequence of any length such that its elements are in non-increasing order. Formally, choose any k +// such that 1≤k≤n +// and any sequence of k +// indices 1≤i1 +using namespace std; + +int main(){ + int t; + cin>>t; + while(t--){ + int n; + int size=0; + int count1=0; + int count1k=0; + cin>>n; + string s; + cin>>s; + vector ans; + for(int i=0;i0){ + ans.push_back(i+1); + x--; + size++; + } + if(x==0&&s[i]=='0'){ + ans.push_back(i+1); + size++; + } + + + } + cout<<1< + +using namespace std; +//Problem Statement: +// Monocarp had a regular bracket sequence s +// of length n +// (n +// is even). He even came up with his own way to calculate its cost. + +// He knows that in a regular bracket sequence (RBS), each opening bracket is paired up with the corresponding closing bracket. So he decided to calculate the cost of RBS as the sum of distances between pairs of corresponding bracket pairs. + + +// approach: +/* + We binary search on the number of queries applied since once a segment becomes beautiful + it stays beautiful. For a given k, we apply the first k+1 updates, build a prefix sum array, + and check if any segment has more 1s than half its length. If yes, we try to minimize k; + otherwise, we increase it. If no such k exists, the answer is -1. +*/ +// Time Complexity: O((n+m)logq) +// Space Complexity: O(n+m+q) + +vector < int > prefixSum(const vector < int > & a) { + int n = a.size(); + vector < int > pref(n); + + pref[0] = a[0]; + for (int i = 1; i < n; i++) { + pref[i] = pref[i - 1] + a[i]; + } + + return pref; +} + + +int main() { + int t; + cin >> t; + while (t--) { + int n, m, q; + cin >> n >> m; + int arr[m][2]; + for (int i = 0; i < m; i++) { + for (int j = 0; j < 2; j++) { + cin >> arr[i][j]; + } + } + cin >> q; + int qarr[q]; + for (int j = 0; j < q; j++) { + cin >> qarr[j]; + } + int l = 0; + int h = q - 1; + int minAns = -1; + + while (l <= h) { + int k = (l + h) / 2; + vector < int > opp(n, 0); + for (int i = 0; i <= k; i++) { + opp[qarr[i] - 1] = 1; + } + vector < int > prefixArr = prefixSum(opp); + int noSuccess = 1; + for (int i = 0; i < m; i++) { + int L = arr[i][0] - 1; + int R = arr[i][1] - 1; + + int one = prefixArr[R] - (L > 0 ? prefixArr[L - 1] : 0); + + int length = arr[i][1] - arr[i][0] + 1; + if (one > length / 2) { + minAns = k; + + noSuccess = 0; + break; + } + + } + if (noSuccess) { + l = k + 1; + + } + else { + h = k - 1; + } + + } + if (minAns != -1) cout << minAns + 1 << endl; + else { + cout << -1 << endl; + } + + } + +} \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/Devan019/solution1.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Devan019/solution1.cpp new file mode 100644 index 0000000..1750cbd --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Devan019/solution1.cpp @@ -0,0 +1,63 @@ +/* +Problem: Range Sum Query – Immutable +Design a class NumArray that supports: +1. Initializing the object with an integer array nums +2. Answering multiple queries of the form: + sumRange(left, right) + which returns the sum of elements from index left to right (inclusive) + +Approach: Prefix Sum +We build a prefix sum array where: + +prefix[0] = 0 +prefix[i] = sum of elements from index 0 to i-1 + +This allows us to calculate the sum of any subarray [left, right] +in constant time using the formula: + +sumRange(left, right) = prefix[right + 1] - prefix[left] + +Time & Space Complexity +Preprocessing: +- Time : O(n) +- Space : O(n) + +Each Query: +- Time : O(1) +- Space : O(1) + +*/ + +#include +using namespace std; + +class PrefixSum { +private: + vector prefix; + +public: + PrefixSum(vector& nums) { + prefix.push_back(0); + + for (int i = 0; i < nums.size(); i++) { + prefix.push_back(prefix[i] + nums[i]); + } + } + + int sumRange(int left, int right) { + return prefix[right + 1] - prefix[left]; + } +}; + +/* +Example + +int main() { + vector nums = {1, 2, 3, 4}; + NumArray obj(nums); + + cout << obj.sumRange(1, 3); // Output: 9 + return 0; +} + +*/ diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/Hac144/Solution1.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Hac144/Solution1.cpp new file mode 100644 index 0000000..720064f --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Hac144/Solution1.cpp @@ -0,0 +1,36 @@ +/* +Problem: Answer multiple range sum queries efficiently. + +Approach: +- Build prefix sum array: prefix[i] = sum of arr[0..i]. +- Query sum(l,r) = prefix[r] - (l > 0 ? prefix[l-1] : 0). + +Time Complexity: O(n + q) +Space Complexity: O(n) +*/ +#include +#include +using namespace std; +int main() { + ios::sync_with_stdio(false); + cin.tie(nullptr); + int n; + cin >> n; + vector arr(n); + for (int i = 0; i < n; i++) cin >> arr[i]; + vector prefix(n); + prefix[0] = arr[0]; + for (int i = 1; i < n; i++) { + prefix[i] = prefix[i-1] + arr[i]; + } + int q; + cin >> q; + while (q--) { + int l, r; + cin >> l >> r; + int sum = prefix[r] - (l > 0 ? prefix[l-1] : 0); + cout << sum << "\n"; + } + + return 0; +} diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/HarhsitRSethi/Solution1.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/HarhsitRSethi/Solution1.cpp new file mode 100644 index 0000000..5d61dd9 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/HarhsitRSethi/Solution1.cpp @@ -0,0 +1,52 @@ +/* + Problem: Range Sum Query - Immutable (LeetCode 303) + Link: https://leetcode.com/problems/range-sum-query-immutable/ + + Approach: Prefix Sum Array + We can precompute the prefix sums of the array such that: + prefix[i] = nums[0] + nums[1] + ... + nums[i] + + Then, the sum of the range [left, right] can be calculated as: + sumRange(left, right) = prefix[right] - prefix[left - 1] + + Time Complexity: + - NumArray: O(N) to build the prefix sum array. + - sumRange: O(1) per query. + + Space Complexity: O(N) to store the prefix sum array. +*/ + +#include +#include + +using namespace std; + +class NumArray +{ +public: + vector prefix; + NumArray(vector &nums) + { + for (int i = 0; i < nums.size(); i++) + { + if (i == 0) + prefix.push_back(nums[i]); + else + prefix.push_back(nums[i] + prefix[i - 1]); + } + } + + int sumRange(int left, int right) + { + if (left == 0) + return prefix[right]; + else + return prefix[right] - prefix[left - 1]; + } +}; + +/** + * Your NumArray object will be instantiated and called as such: + * NumArray* obj = new NumArray(nums); + * int param_1 = obj->sumRange(left,right); + */ \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/HarhsitRSethi/Solution2.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/HarhsitRSethi/Solution2.cpp new file mode 100644 index 0000000..26e9bd3 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/HarhsitRSethi/Solution2.cpp @@ -0,0 +1,33 @@ +/* + Problem: Running Sum of 1d Array (LeetCode 1480) + Link: https://leetcode.com/problems/running-sum-of-1d-array/ + + Approach: Prefix Sum (In-place) + We can iterate through the array and update each element to be the sum of itself and the previous element. + nums[i] += nums[i-1] for i > 0. + + This creates the running sum array in-place without using extra space (excluding the output vector). + + Time Complexity: O(N) where N is the number of elements. + Space Complexity: O(1) if we ignore the output array space, or O(N) if we create a new vector. + (This implementation returns a new vector to be clean, but modifies logic similar to in-place) +*/ + +#include +#include + +using namespace std; + +class Solution +{ +public: + vector runningSum(vector &nums) + { + vector prefix; + prefix.push_back(nums[0]); + for (int i = 1; i < nums.size(); i++) + prefix.push_back(nums[i] + prefix[i - 1]); + + return prefix; + } +}; diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/Himansh/B_Reverse_Sort.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Himansh/B_Reverse_Sort.cpp new file mode 100644 index 0000000..fce5719 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Himansh/B_Reverse_Sort.cpp @@ -0,0 +1,69 @@ +//PROBLEM STATEMENT- https://codeforces.com/problemset/problem/1605/B +//SUBMISSION LINK- https://codeforces.com/problemset/submission/1605/355304291 +//APPROACH- For every gap, check the ones on left and zeroes on right using prefix and suffix sums +// if at any point, they are equal(and non zero), they can be swapped +//TIME COMPLEXITY- O(n*n) +//SPACE COMPLEXITY- O(n*n) + +#include +using namespace std; + +void solve(){ + int n; + cin>>n; + string s; + cin>>s; + if(n==1){ + cout<<0<> OneLeft(n-1); + OneLeft[0]={}; + if(s[0]=='1')OneLeft[0].push_back(0); + + for(int i=1;i> ZeroRight(n-1); + ZeroRight[n-2]={}; + if(s[n-1]=='0')ZeroRight[n-2].push_back(n-1); + for(int i=n-2;i>0;i--){ + ZeroRight[i-1]=ZeroRight[i]; + if(s[i]=='0'){ + ZeroRight[i-1].push_back(i); + } + } + + for(int i =0; i>t; + while (t--) + { + solve(); + } + +} diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/Himansh/E_Tracking_Segments.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Himansh/E_Tracking_Segments.cpp new file mode 100644 index 0000000..cb2734d --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Himansh/E_Tracking_Segments.cpp @@ -0,0 +1,81 @@ +//PROBLEM STATEMENT- https://codeforces.com/problemset/problem/1843/E +//SUBMISSION LINK- https://codeforces.com/problemset/submission/1843/355308893 +//APPROACH- Standard binary search on queries as they are monotonues (F F F T T TT) +//TIME COMPLEXITY- O(nlogn) +//SPACE COMPLEXITY- O(n) + + + +#include +using namespace std; + + +bool check(vector > &range,vector &queries,int mid,int n){ + vector a(n,0); + int count=0; + for(auto q:queries){ + count++; + a[q-1]=1; + if(count==mid)break; + } + vector prefix(n+1); + prefix[0]=0; + for(int i=0;i(p.second-p.first+1)/2){ + return true; + } + } + return false; +} + +void solve(){ + int n,m; + cin>>n>>m; + vector > range; + for (int i = 0; i < m; i++) + { + int x,y; + cin>>x>>y; + range.push_back({x,y}); + } + + int q; + cin>>q; + vector queries(q); + for(int i=0;i>queries[i]; + } + + int high= q; + int low=1; + int mid; + bool possible=0; + while (high-low>=0) + { + mid=(high+low)/2; + + if(check(range,queries,mid,n)){ + high=mid-1; + possible=1; + } else{ + low=mid+1; + } +} +if(possible)cout<>t; + while (t--) + { + solve(); + } + +} diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/Himansh/Solution1.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Himansh/Solution1.cpp new file mode 100644 index 0000000..c6c7a27 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Himansh/Solution1.cpp @@ -0,0 +1,51 @@ +/* +Problem Statement: +Design a class NumArray that supports: +1. Initializing the object with an integer array nums. +2. Answering multiple queries of the form sumRange(left, right), + which returns the sum of elements from index left to right (inclusive). + +Approach: +We precompute a prefix sum array where: +prefix[i] = sum of elements from index 0 to i-1 + +This allows us to compute the sum of any subarray [left, right] in O(1): +sumRange(left, right) = prefix[right + 1] - prefix[left] + +Time & Space Complexity: +Preprocessing: +- Time: O(n) +- Space: O(n) + +Each Query: +- Time: O(1) +- Space: O(1) +*/ + +#include +using namespace std; + +class NumArray { +public: + vector prefix; + int n; + + NumArray(vector& nums) { + n = nums.size(); + prefix.push_back(0); + for (int i = 0; i < n; i++) { + prefix.push_back(nums[i] + prefix[i]); + } + } + + int sumRange(int left, int right) { + return prefix[right + 1] - prefix[left]; + } +}; + +/** + * Your NumArray object will be instantiated and called as such: + * NumArray* obj = new NumArray(nums); + * int param_1 = obj->sumRange(left,right); + */ + diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/Himansh/Solution2.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Himansh/Solution2.cpp new file mode 100644 index 0000000..ba54dd9 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Himansh/Solution2.cpp @@ -0,0 +1,33 @@ +/* +Problem Statement: +Given an integer array nums, return the running sum of nums. +The running sum at index i is the sum of all elements from +index 0 to index i (inclusive). + +Approach: +Instead of creating a separate prefix array, we reuse the input array. +At each index i (starting from 1), we update: +nums[i] = nums[i - 1] + nums[i] + +Time & Space Complexity: +- Time: O(n) +- Space: O(1) extra space (in-place modification) + +*/ +#include +using namespace std; + + +class Solution { +public: + vector runningSum(vector& nums) { + int n = nums.size(); + + for (int i = 1; i < n; i++) { + nums[i] = nums[i - 1] + nums[i]; + } + + return nums; + } +}; + diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/HimanshuArora-pixel/solution_1.py b/CodeCraft-main/algos/range_queries/PrefixSum/soln/HimanshuArora-pixel/solution_1.py new file mode 100644 index 0000000..0d082df --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/HimanshuArora-pixel/solution_1.py @@ -0,0 +1,38 @@ + +""" +PROBLEM: +We need to find the sum of numbers from(st to ed) in a list. + +Approach: +We create a list which stores the sum of numbers from list till that index + +To find the sum from index st to ed': + Take total till ed and subtract total till st - 1. + +Time complexity: + Initial processing: O(n) + Finding Sum of the range: O(1) +""" + + +class Processor: + def __init__(self, nums): + self.prefix = [] + total_till_now = 0 + + for n in nums: + total_till_now += n + self.prefix.append(total_till_now) + + + def sum_of_range(self, st, ed): + + if st == 0: + return self.prefix[ed] + + return self.prefix[ed] - self.prefix[st-1] #st-1 cause in sum range st is also included + +#Example: +# nums = [1, 2, 3, 4, 5] +# trial = Processor(nums) +# print(trial.sum_of_range(2, 4)) # Sum of [3, 4, 5] = 12 \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/Ibrahim Raza Beg/Solution1.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Ibrahim Raza Beg/Solution1.cpp new file mode 100644 index 0000000..fc17822 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Ibrahim Raza Beg/Solution1.cpp @@ -0,0 +1,59 @@ +/* +303. Range Sum Query - Immutable +Given an integer array nums, handle multiple queries of the following type: + +Calculate the sum of the elements of nums between indices left and right inclusive where left <= right. + +Soln: +Calculate Prefix sum and return values ps[r]-ps[l-1] to get the value of sum between r and l in the vector. + +Time Complexity: +Preprocessing: O(N) +Each Query: O(1) +Space Complexity: O(N) +*/ + +#include +using namespace std; + +class NumArray { +public: + vectorps; + NumArray(vector& nums) { + + int n=nums.size(); + ps.resize(n); + ps[0]=nums[0]; + + int i; + for(i=1;isumRange(left,right); + */ + +int main() +{ + int n; + cin >>n; + vector nums = {-2, 0, 3, -5, 2, -1}; + + NumArray obj=NumArray(nums); + + cout << obj.sumRange(0, 2)< +using namespace std; + +class Solution { +public: + vector runningSum(vector& nums) { + int n=nums.size(); + vectorps(n,0); + + ps[0]=nums[0]; + for(int i=1;iarr={1,2,3,4,5}; + Solution obj; + vector rs=obj.runningSum(arr); + for (int i = 0; i +using namespace std; + +#define int long long +#define ll long long +#define ull unsigned long long +#define ld long double +#define pii pair +#define vi vector +#define vvi vector> +#define vpi vector> +#define all(x) (x).begin(), (x).end() + + +const long long MAXN = 2e6; +const long long MOD = 1e9 + 7; +const int INF = 1e18; +const ld EPS = 1e-9; + + +#define fastio ios::sync_with_stdio(false); cin.tie(nullptr); + +#ifndef ONLINE_JUDGE + #define debug(x) cerr << #x << " = " << x << "\n"; +#else + #define debug(x) +#endif + +// Utility functions +int gcd(int a, int b) { return b ? gcd(b, a % b) : a; } +int lcm(int a, int b) { return a / gcd(a, b) * b; } +int mod_add(int a, int b, int m=MOD) { return ((a % m) + (b % m) + m) % m; } +int mod_sub(int a, int b, int m=MOD) { return ((a % m) - (b % m) + m) % m; } +int mod_mul(int a, int b, int m=MOD) { return ((a % m) * (b % m)) % m; } + +//Binary Exponentiation +int binexp(int a, int b, int m=MOD) { + int res = 1; + a %= m; + while(b > 0) { + if(b & 1) res = (res * a) % m; + a = (a * a) % m; + b >>= 1; + } + return res; +} + +int mod_inv(int a, int m=MOD) { + return binexp(a, m - 2, m); +} + +long long fac[MAXN + 1]; +long long inv[MAXN + 1]; + +long long exp(long long x, long long n, long long m) { + x %= m; + long long res = 1; + while (n > 0) { + if (n % 2 == 1) { res = res * x % m; } + x = x * x % m; + n /= 2; + } + return res; +} + +void factorial() { + fac[0] = 1; + for (long long i = 1; i <= MAXN; i++) { fac[i] = fac[i - 1] * i % MOD; } +} + +void inverses() { + inv[MAXN] = exp(fac[MAXN], MOD - 2, MOD); + for (long long i = MAXN; i >= 1; i--) { inv[i - 1] = inv[i] * i % MOD; } +} + +long long choose(long long n, long long r) { + if (r > n)return 0ll; + return (fac[n] * inv[r] % MOD * inv[n - r] % MOD) % MOD; +} + +long long catalan(long long n) { + return (exp(n + 1, MOD - 2, MOD) % MOD * choose(2 * n, n) % MOD) % MOD; +} + +//Returns all prime numbers <=N +vector sieve(int n) { + vector prime(n + 1, true); + for (int p=2;p*p<=n;p++) { + if (prime[p] == true) { + + for (int i=p*p;i<=n;i+=p) + prime[i] = false; + } + } + + vector res; + for (int p = 2; p <= n; p++){ + if (prime[p]){ + res.push_back(p); + } + } + return res; +} + +//Prime factors of all numbers upto N +vector> primefactors(int N) +{ + vvi pfac(N + 1); + for (int i=2;i<=N;i++){ + if (!pfac[i].empty()) + continue; + + for (int j = i; j <= N; j += i) + pfac[j].push_back(i); + } + + return pfac; +} + +//smallest prime factor of a number +int spf(int n) { + if (n % 2 == 0) return 2; + for (int i = 3; i * i <= n; i += 2) { + if (n % i == 0) return i; + } + return n; +} + +int power2(int p) +{ + int v=1ll<&a) +{ + sort(a.begin(),a.end()); +} + +void psort(vector>&a) +{ + sort(a.begin(),a.end()); +} + +void rsort(vector&a) +{ + sort(a.rbegin(),a.rend()); +} + +void rpsort(vector>&a) +{ + sort(a.rbegin(),a.rend()); +} + +//2-D Vector Declaration: +//vvi mat(n,vi(m)); // nxm matrix, all initialized to 0 + + +/***************Code***************/ + +void solve() { + int n,i; + cin>>n; + + string s; + cin>>s; + int c1=0; + + for(i=0;i> t; + while (t--) { + solve(); + } + return 0; +} diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/Ibrahim Raza Beg/Solution4.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Ibrahim Raza Beg/Solution4.cpp new file mode 100644 index 0000000..d1e57f0 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Ibrahim Raza Beg/Solution4.cpp @@ -0,0 +1,242 @@ +//https://codeforces.com/problemset/submission/1843/355487762 +/* +Approach: If we get a segment for the ith query then it will be there for the next queries also +So its nature is monotonic +so we can use binary search and for the middle query we will +calculate the original array after applying middle queries as operations +and for checking if a segment is good we will use prefix sum to check. + +Time Complexity: O((n+m)logq) +Space Complexity: O(n+m+q) +*/ + +#include +using namespace std; + +#define int long long +#define ll long long +#define ull unsigned long long +#define ld long double +#define pii pair +#define vi vector +#define vvi vector> +#define vpi vector> +#define all(x) (x).begin(), (x).end() + + +const long long MAXN = 2e6; +const long long MOD = 1e9 + 7; +const int INF = 1e18; +const ld EPS = 1e-9; + + +#define fastio ios::sync_with_stdio(false); cin.tie(nullptr); + +#ifndef ONLINE_JUDGE + #define debug(x) cerr << #x << " = " << x << "\n"; +#else + #define debug(x) +#endif + +// Utility functions +int gcd(int a, int b) { return b ? gcd(b, a % b) : a; } +int lcm(int a, int b) { return a / gcd(a, b) * b; } +int mod_add(int a, int b, int m=MOD) { return ((a % m) + (b % m) + m) % m; } +int mod_sub(int a, int b, int m=MOD) { return ((a % m) - (b % m) + m) % m; } +int mod_mul(int a, int b, int m=MOD) { return ((a % m) * (b % m)) % m; } + +//Binary Exponentiation +int binexp(int a, int b, int m=MOD) { + int res = 1; + a %= m; + while(b > 0) { + if(b & 1) res = (res * a) % m; + a = (a * a) % m; + b >>= 1; + } + return res; +} + +int mod_inv(int a, int m=MOD) { + return binexp(a, m - 2, m); +} + +long long fac[MAXN + 1]; +long long inv[MAXN + 1]; + +long long exp(long long x, long long n, long long m) { + x %= m; + long long res = 1; + while (n > 0) { + if (n % 2 == 1) { res = res * x % m; } + x = x * x % m; + n /= 2; + } + return res; +} + +void factorial() { + fac[0] = 1; + for (long long i = 1; i <= MAXN; i++) { fac[i] = fac[i - 1] * i % MOD; } +} + +void inverses() { + inv[MAXN] = exp(fac[MAXN], MOD - 2, MOD); + for (long long i = MAXN; i >= 1; i--) { inv[i - 1] = inv[i] * i % MOD; } +} + +long long choose(long long n, long long r) { + if (r > n)return 0ll; + return (fac[n] * inv[r] % MOD * inv[n - r] % MOD) % MOD; +} + +long long catalan(long long n) { + return (exp(n + 1, MOD - 2, MOD) % MOD * choose(2 * n, n) % MOD) % MOD; +} + +//Returns all prime numbers <=N +vector sieve(int n) { + vector prime(n + 1, true); + for (int p=2;p*p<=n;p++) { + if (prime[p] == true) { + + for (int i=p*p;i<=n;i+=p) + prime[i] = false; + } + } + + vector res; + for (int p = 2; p <= n; p++){ + if (prime[p]){ + res.push_back(p); + } + } + return res; +} + +//Prime factors of all numbers upto N +vector> primefactors(int N) +{ + vvi pfac(N + 1); + for (int i=2;i<=N;i++){ + if (!pfac[i].empty()) + continue; + + for (int j = i; j <= N; j += i) + pfac[j].push_back(i); + } + + return pfac; +} + +//smallest prime factor of a number +int spf(int n) { + if (n % 2 == 0) return 2; + for (int i = 3; i * i <= n; i += 2) { + if (n % i == 0) return i; + } + return n; +} + +int power2(int p) +{ + int v=1ll<&a) +{ + sort(a.begin(),a.end()); +} + +void psort(vector>&a) +{ + sort(a.begin(),a.end()); +} + +void rsort(vector&a) +{ + sort(a.rbegin(),a.rend()); +} + +void rpsort(vector>&a) +{ + sort(a.rbegin(),a.rend()); +} + +//2-D Vector Declaration: +//vvi mat(n,vi(m)); // nxm matrix, all initialized to 0 + + +/***************Code***************/ + +void solve() { + int n,i,m; + cin>>n>>m; + vpi a(m); + for(i=0;i>a[i].first; + cin>>a[i].second; +} + int qn; + cin>>qn; + vi q(qn); + for(i=0;i>q[i]; + + int ans=1e9; + int l=1,r=qn; + int f0=0; + while(l<=r) + { + int mid=l+(r-l)/2; + + vi ar(n+1,0); + for(i=0;i(ri-li+1)/2) + { + f=1; + break; + } + } + if(f==1) + { + f0=1; + ans=min(mid,ans); + r=mid-1; + } + else + l=mid+1; + } + if(f0==0) + cout<<"-1"<> t; + while (t--) { + solve(); + } + return 0; +} diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/IshanRajSingh/Solution1.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/IshanRajSingh/Solution1.cpp new file mode 100644 index 0000000..aa03be9 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/IshanRajSingh/Solution1.cpp @@ -0,0 +1,57 @@ +#include +using namespace std; + +#define int long long + +/* +PROBLEM - To find the sum of subarray from l to r +*/ + +/* +APPROACH +- Precompte prefix sum, use it to ans the queries in O(1) +*/ + +/* +TIME COMPLEXITY - O(N + Q) where Q is no of queries +SPACE COMPLEXITY - O(N) For the prefix array +*/ + +/* + -- IO -- + Input +1 +4 3 +1 3 5 7 +0 3 +0 1 +0 0 +Output +16 +4 +1 +*/ + +signed main() { + int t; + cin >> t; + while (t--) { + int n, q; + cin >> n >> q; + vector v(n); + for (int i = 0; i < n; i++) { + cin >> v[i]; + } + vector pref(n+1); + for (int i = 1; i <= n; i++) { + pref[i] = pref[i-1] + v[i-1]; + } + while (q--) { + // 0 based indexing as given in leetcode + int l, r; + cin >> l >> r; + int ans = pref[r+1] - pref[l]; + cout << ans << '\n'; + } + } +} diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/IshanRajSingh/Solution2.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/IshanRajSingh/Solution2.cpp new file mode 100644 index 0000000..f706446 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/IshanRajSingh/Solution2.cpp @@ -0,0 +1,51 @@ +#include +using namespace std; + +#define int long long + +/* +PROBLEM - The output to return is nothing but the prefix sum array itself +*/ + +/* +APPROACH +- Precompte prefix sum +*/ + +/* +TIME COMPLEXITY - O(N) where Q is no of queries +SPACE COMPLEXITY - O(N) For the prefix array +*/ + +/* + -- IO -- + Input +1 +4 +1 2 3 4 +Output +1 3 6 10 +*/ + +signed main() { + int t; + cin >> t; + while (t--) { + int n; + cin >> n; + vector v(n); + for (int i = 0; i < n; i++) { + cin >> v[i]; + } + vector pref(n); + pref[0] = v[0]; + for (int i = 1; i < n; i++) { + pref[i] = pref[i-1] + v[i]; + } + + for (int i = 0; i < n; i++) { + cout << pref[i] << " "; + } + cout << '\n'; + } +} diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/IshanTripathi/solution1.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/IshanTripathi/solution1.cpp new file mode 100644 index 0000000..70eadba --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/IshanTripathi/solution1.cpp @@ -0,0 +1,61 @@ +/* +Problem: +LeetCode 303 - Range Sum Query: Immutable + +Then: +sum(L, R) = prefix[R] - prefix[L-1] (if L > 0) + +Time Complexity: +Preprocessing: O(N) +Each Query: O(1) + +Space Complexity: O(N) + + +*/ +#include +using namespace std; + +class NumArray +{ + vector presum; + +public: + NumArray(vector &nums) + { + presum = nums; + for (int i = 1; i < nums.size(); i++) + { + presum[i] = presum[i - 1] + nums[i]; + } + } + + int sumRange(int left, int right) + { + + int l = left; + int r = right; + int ans = presum[right]; + if (l != 0) + ans -= presum[l - 1]; + + return ans; + } +}; + +/** + * Your NumArray object will be instantiated and called as such: + * NumArray* obj = new NumArray(nums); + * int param_1 = obj->sumRange(left,right); + */ +int main() +{ + int n; + cin >> n; + vector nums = {1, 2, 3, 4, 5, 2}; + + NumArray obj = NumArray(nums); + + cout << obj.sumRange(0, 2) << endl; + cout << obj.sumRange(2, 5) << endl; +} \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/IshanTripathi/solution2.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/IshanTripathi/solution2.cpp new file mode 100644 index 0000000..d3cc31c --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/IshanTripathi/solution2.cpp @@ -0,0 +1,71 @@ +/* +Running sum of 1d array +Given an array nums. We define a running sum of an array as runningSum[i] = sum(nums[0]…nums[i]). + +Return the running sum of nums. + + + +Example 1: + +Input: nums = [1,2,3,4] +Output: [1,3,6,10] +Explanation: Running sum is obtained as follows: [1, 1+2, 1+2+3, 1+2+3+4]. + +Example 2: + +Input: nums = [1,1,1,1,1] +Output: [1,2,3,4,5] +Explanation: Running sum is obtained as follows: [1, 1+1, 1+1+1, 1+1+1+1, 1+1+1+1+1]. + +Example 3: + +Input: nums = [3,1,2,10,1] +Output: [3,4,6,16,17] + + + +Constraints: + + 1 <= nums.length <= 1000 + -10^6 <= nums[i] <= 10^6 + + + +time complexity =o(n); +space complexity =o(1); + + +*/ +#include +using namespace std; + +class Solution { +public: + vector runningSum(vector& nums) { + for(int i =1 ; i< nums.size(); i++) + nums[i]+=nums[i-1]; + return nums; + } +}; +int main() +{ + vectorarr={1,2,3,4,5}; + Solution obj; + vector runsum=obj.runningSum(arr); + for (int i = 0; i < runsum.size(); i++) + { + cout< 0) + +Time Complexity: +Preprocessing: O(N) +Each Query: O(1) + +Space Complexity: O(N) + +Example: +Input: nums = [-2,0,3,-5,2,-1], query(0,2) +Output: 1 +*/ + +#include +#include +using namespace std; + +class NumArray { + vector prefix; +public: + NumArray(vector& nums) { + int n = nums.size(); + prefix.resize(n); + if (n > 0) { + prefix[0] = nums[0]; + for(int i = 1; i < n; i++) + prefix[i] = prefix[i - 1] + nums[i]; + } + } + + long long sumRange(int L, int R) { + if (L == 0) return prefix[R]; + return prefix[R] - prefix[L - 1]; + } +}; + +int main() { + vector nums = {-2, 0, 3, -5, 2, -1}; + NumArray obj(nums); + cout << obj.sumRange(0, 2) << endl; // 1 + cout << obj.sumRange(2, 5) << endl; // -1 + return 0; +} diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/Jatin/Solution2.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Jatin/Solution2.cpp new file mode 100644 index 0000000..f28b7c4 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Jatin/Solution2.cpp @@ -0,0 +1,35 @@ +/* +Problem: +LeetCode 1480 - Running Sum of 1D Array + +Given an array nums, return the running sum of nums. + +Approach: +Use prefix sum technique: +result[i] = result[i - 1] + nums[i] + +Time Complexity: O(N) +Space Complexity: O(N) + +Example: +Input: [1,2,3,4] +Output: [1,3,6,10] +*/ + +#include +#include +using namespace std; + +int main() { + vector nums = {1, 2, 3, 4}; + vector result(nums.size()); + + result[0] = nums[0]; + for(int i = 1; i < nums.size(); i++) + result[i] = result[i - 1] + nums[i]; + + for(int x : result) + cout << x << " "; + + return 0; +} diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/Kushagra Raghuvanshi/Solution1.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Kushagra Raghuvanshi/Solution1.cpp new file mode 100644 index 0000000..cae9745 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Kushagra Raghuvanshi/Solution1.cpp @@ -0,0 +1,25 @@ +//LeetCode 303 – Range Sum Query (Immutable) using prefix sums + +/*Precompute a prefix sum array where +prefix[i] = sum of nums[0] to nums[i-1] +Then each query is O(1):*/ + +#include +using namespace std; + +class NumArray { +private: + vector prefix; + +public: + NumArray(vector& nums) { + prefix.push_back(0); + for (int x : nums) { + prefix.push_back(prefix.back() + x); + } + } + + int sumRange(int left, int right) { + return prefix[right + 1] - prefix[left]; + } +}; \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/Kushagra Raghuvanshi/Solution2.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Kushagra Raghuvanshi/Solution2.cpp new file mode 100644 index 0000000..f31c146 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Kushagra Raghuvanshi/Solution2.cpp @@ -0,0 +1,18 @@ +/*Given an array nums. We define a running sum of an array as runningSum[i] = sum(nums[0]…nums[i]). + +Return the running sum of nums.*/ + + + +#include +using namespace std; + +class Solution { +public: + vector runningSum(vector& nums) { + for (int i = 1; i < nums.size(); i++) { + nums[i] += nums[i - 1]; + } + return nums; + } +}; \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/LooninS/Solution1.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/LooninS/Solution1.cpp new file mode 100644 index 0000000..87cc287 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/LooninS/Solution1.cpp @@ -0,0 +1,49 @@ +// Given an integer array nums, handle multiple queries of the following type: + +// Calculate the sum of the elements of nums between indices left and right +// inclusive where left <= right. + +// Implement the NumArray class: + +// NumArray(int[] nums) Initializes the object with the integer array nums. +// int sumRange(int left, int right) Returns the sum of the elements of nums +// between indices left and right inclusive (i.e. nums[left] + nums[left + 1] +// + ... + nums[right]). + +// This is a easy problem. The question itself hints that we can use the prefix +// sum array to solve it. +// +// prefix sum array is an array of size n+1 where the ith element is the sum of +// the first i elements. So it stores a cumlative sum of all the elements. + +#include + +using namespace std; + +class NumArray { +private: + vector prefix; // create a prefix sum array + +public: + // Time Complexity of constructor is O(n) + // Space Complexity of constructor is O(n) + NumArray(vector &nums) { + int n = nums.size(); + prefix.resize(n + 1); // resizing the prefix sum array to n+1 + for (int i = 0; i < n; + i++) { // running the loop to calculate the prefix sum and store it at + // ith index of prefix array + prefix[i + 1] = prefix[i] + nums[i]; + } + } + +// Time Complexity of sumRange is O(1) + int sumRange(int left, int right) { + return prefix[right+1] - prefix[left]; + }; // now we ca return the sum of elements between left and right indices in + // O(1) time + // all of the processing is done in the constructor. We only use prefix sum + // array here because we know these two queries will be asked and it is worth + // space complexity. +}; + diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/LooninS/Solution2.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/LooninS/Solution2.cpp new file mode 100644 index 0000000..cf77e29 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/LooninS/Solution2.cpp @@ -0,0 +1,20 @@ +// Given an array nums. We define a running sum of an array as runningSum[i] = +// sum(nums[0]…nums[i]). +// Return the running sum of nums. + +// Solution: +#include +using std::vector; + +// Time Complexity: O(N) as we iterate through the entire array of nums +class Solution { +public: + vector runningSum(vector &nums) { + vector res(nums.size()); // make a vector of size nums.size() + for (int i = 0; i < nums.size(); i++) // for each element in nums + res[i] = nums[i] + + (i ? res[i - 1] : 0); // add nums[i] to the sum of the previous + // elements of nums stored in res + return res; + } +}; diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/PradipMaity/Solution1.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/PradipMaity/Solution1.cpp new file mode 100644 index 0000000..2a9ff69 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/PradipMaity/Solution1.cpp @@ -0,0 +1,119 @@ +/* + + Problem: Find Pivot Index (LeetCode 724) + Link: https://leetcode.com/problems/find-pivot-index/ + Difficulty: Easy + + 1. Problem Statement + -------------------- + Given an array of integers nums, calculate the pivot index of this array. + + The pivot index is the index where the sum of all the numbers strictly + to the left of the index is equal to the sum of all the numbers strictly + to the index's right. + + If the index is on the left edge of the array, then the left sum is 0 + because there are no elements to the left. This also applies to the + right edge of the array. + + Return the leftmost pivot index. If no such index exists, return -1. + + + 2. Approach (Prefix Sum) + ------------------------ + - Calculate the total sum of the array. + - Iterate through the array while maintaining a running left sum. + - At each index i: + - Right sum = Total sum - Left sum - nums[i] + - If Left sum == Right sum, return i (pivot found!) + - Otherwise, add nums[i] to left sum and continue. + - If no pivot found, return -1. + + + 3. Complexity Analysis + ---------------------- + Time Complexity: O(N) - Single pass to compute total, another to find pivot + Space Complexity: O(1) - Only using constant extra variables + + + + 4. Example I/O + -------------- + Input: nums = [1, 7, 3, 6, 5, 6] + Output: 3 + Explanation: + Left sum = nums[0] + nums[1] + nums[2] = 1 + 7 + 3 = 11 + Right sum = nums[4] + nums[5] = 5 + 6 = 11 + + Input: nums = [1, 2, 3] + Output: -1 + Explanation: No index satisfies the pivot condition. + + Input: nums = [2, 1, -1] + Output: 0 + Explanation: Left sum = 0, Right sum = 1 + (-1) = 0 + + +*/ + +#include +#include +#include + +using namespace std; + +class Solution +{ +public: + int pivotIndex(vector &nums) + { + int n = nums.size(); + if (n == 0) + return -1; + + // Calculate total sum of array + int totalSum = 0; + for (int num : nums) + { + totalSum += num; + } + + // Iterate and check for pivot + int leftSum = 0; + for (int i = 0; i < n; i++) + { + // Right sum = total - left - current element + int rightSum = totalSum - leftSum - nums[i]; + + if (leftSum == rightSum) + { + return i; // Pivot found! + } + + leftSum += nums[i]; + } + + return -1; // No pivot exists + } +}; + +// Test Cases + +int main() +{ + Solution sol; + + // Test Case 1 + vector nums1 = {1, 7, 3, 6, 5, 6}; + cout << "Test 1: " << sol.pivotIndex(nums1) << endl; // Expected: 3 + + // Test Case 2 + vector nums2 = {1, 2, 3}; + cout << "Test 2: " << sol.pivotIndex(nums2) << endl; // Expected: -1 + + // Test Case 3 + vector nums3 = {2, 1, -1}; + cout << "Test 3: " << sol.pivotIndex(nums3) << endl; // Expected: 0 + + return 0; +} diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/PradipMaity/Solution2.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/PradipMaity/Solution2.cpp new file mode 100644 index 0000000..d2175dd --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/PradipMaity/Solution2.cpp @@ -0,0 +1,119 @@ +/* + + Problem: Subarray Sum Equals K (LeetCode 560) + Link: https://leetcode.com/problems/subarray-sum-equals-k/ + Difficulty: Medium + + 1. Problem Statement + -------------------- + Given an array of integers nums and an integer k, return the total number + of subarrays whose sum equals to k. + + A subarray is a contiguous non-empty sequence of elements within an array. + + + 2. Approach (Prefix Sum + HashMap) + ---------------------------------- + Key Insight: + If prefix[j] - prefix[i] = k, then sum of subarray (i+1, j) equals k. + Rearranging: prefix[i] = prefix[j] - k + + Algorithm: + - Use a hashmap to store frequency of each prefix sum seen so far. + - Initialize map with {0: 1} (empty prefix has sum 0). + - For each element, calculate running prefix sum. + - Check if (prefixSum - k) exists in map: + - If yes, add its frequency to count (these many subarrays end here with sum k). + - Add current prefixSum to the map. + + Why this works: + - If we've seen (prefixSum - k) before at index i, then subarray from + i+1 to current index has sum = prefixSum - (prefixSum - k) = k. + + 3. Complexity Analysis + ---------------------- + Time Complexity: O(N) - Single pass through the array + Space Complexity: O(N) - HashMap to store prefix sums + + + + 4. Example I/O + -------------- + Input: nums = [1, 1, 1], k = 2 + Output: 2 + Explanation: Subarrays [1,1] at index (0,1) and (1,2) have sum = 2. + + Input: nums = [1, 2, 3], k = 3 + Output: 2 + Explanation: Subarrays [1,2] and [3] have sum = 3. + + Input: nums = [1, -1, 0], k = 0 + Output: 3 + Explanation: Subarrays [1,-1], [-1,0], and [1,-1,0] have sum = 0. + + +*/ + +#include +#include +#include + +using namespace std; + +class Solution +{ +public: + int subarraySum(vector &nums, int k) + { + int n = nums.size(); + int count = 0; + int prefixSum = 0; + + // Map to store frequency of prefix sums + // Initialize with {0: 1} for subarrays starting from index 0 + unordered_map prefixCount; + prefixCount[0] = 1; + + for (int i = 0; i < n; i++) + { + // Update running prefix sum + prefixSum += nums[i]; + + // Check if (prefixSum - k) exists in map + // If yes, we found subarrays ending at index i with sum = k + int target = prefixSum - k; + if (prefixCount.find(target) != prefixCount.end()) + { + count += prefixCount[target]; + } + + // Add current prefix sum to map + prefixCount[prefixSum]++; + } + + return count; + } +}; + +int main() +{ + Solution sol; + + // Test Case 1 + vector nums1 = {1, 1, 1}; + cout << "Test 1: " << sol.subarraySum(nums1, 2) << endl; // Expected: 2 + + // Test Case 2 + vector nums2 = {1, 2, 3}; + cout << "Test 2: " << sol.subarraySum(nums2, 3) << endl; // Expected: 2 + + // Test Case 3: With negative numbers + vector nums3 = {1, -1, 0}; + cout << "Test 3: " << sol.subarraySum(nums3, 0) << endl; // Expected: 3 + + // Test Case 4: Single element + vector nums4 = {3}; + cout << "Test 4: " << sol.subarraySum(nums4, 3) << endl; // Expected: 1 + + return 0; +} diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/PradipMaity/Solution3.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/PradipMaity/Solution3.cpp new file mode 100644 index 0000000..e5c8cc6 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/PradipMaity/Solution3.cpp @@ -0,0 +1,190 @@ +/* + Problem: Count of Range Sum (LeetCode 327) + Link: https://leetcode.com/problems/count-of-range-sum/ + Difficulty: Hard + + 1. Problem Statement + -------------------- + Given an integer array nums and two integers lower and upper, return the + number of range sums that lie in [lower, upper] inclusive. + + Range sum S(i, j) is defined as the sum of the elements in nums between + indices i and j inclusive, where i <= j. + + + + 2. Approach (Prefix Sum + Merge Sort) + ------------------------------------- + Key Insight: + - Let prefix[i] = sum of nums[0..i-1], with prefix[0] = 0. + - Range sum S(i, j) = prefix[j+1] - prefix[i]. + - We need to count pairs (i, j) where i < j and lower <= prefix[j] - prefix[i] <= upper. + - Rearranging: prefix[j] - upper <= prefix[i] <= prefix[j] - lower. + + Algorithm (Merge Sort with Counting): + 1. Build prefix sum array. + 2. Use modified merge sort on prefix array. + 3. During merge step, for each element in right half: + - Count elements in left half that satisfy the range condition. + - Use two pointers to find valid range efficiently. + 4. Complete the standard merge operation. + + Why Merge Sort? + - Left half elements come before right half in original array. + - Left half is sorted, so we can use two pointers for counting. + - Total complexity: O(N log N). + + + + 3. Complexity Analysis + ---------------------- + Time Complexity: O(N log N) - Merge sort with linear counting per level + Space Complexity: O(N) - For prefix array and temporary merge array + + + 4. Example I/O + -------------- + Input: nums = [-2, 5, -1], lower = -2, upper = 2 + Output: 3 + Explanation: + Range sums: S(0,0)=-2, S(0,1)=3, S(0,2)=2, S(1,1)=5, S(1,2)=4, S(2,2)=-1 + Valid: S(0,0)=-2, S(0,2)=2, S(2,2)=-1 → 3 range sums in [-2, 2] + + Input: nums = [0], lower = 0, upper = 0 + Output: 1 + + Input: nums = [0, -1, 1], lower = 0, upper = 0 + Output: 3 + Explanation: S(0,0)=0, S(0,2)=0, S(2,2)=0 are in range [0, 0] + + */ + +#include +#include + +using namespace std; + +class Solution +{ +private: + int lower, upper; + int count; + + void mergeSort(vector &prefix, int left, int right) + { + if (left >= right) + return; + + int mid = left + (right - left) / 2; + + // Recursively sort both halves + mergeSort(prefix, left, mid); + mergeSort(prefix, mid + 1, right); + + // Count valid pairs across the two halves + // For each j in [mid+1, right], find i in [left, mid] where: + // lower <= prefix[j] - prefix[i] <= upper + // i.e., prefix[j] - upper <= prefix[i] <= prefix[j] - lower + + int lo = left, hi = left; + for (int j = mid + 1; j <= right; j++) + { + // Find first i where prefix[i] >= prefix[j] - upper + while (lo <= mid && prefix[lo] < prefix[j] - upper) + { + lo++; + } + // Find first i where prefix[i] > prefix[j] - lower + while (hi <= mid && prefix[hi] <= prefix[j] - lower) + { + hi++; + } + // Count of valid i's = hi - lo + count += (hi - lo); + } + + // Standard merge operation + merge(prefix, left, mid, right); + } + + void merge(vector &prefix, int left, int mid, int right) + { + vector temp(right - left + 1); + int i = left, j = mid + 1, k = 0; + + while (i <= mid && j <= right) + { + if (prefix[i] <= prefix[j]) + { + temp[k++] = prefix[i++]; + } + else + { + temp[k++] = prefix[j++]; + } + } + + while (i <= mid) + { + temp[k++] = prefix[i++]; + } + + while (j <= right) + { + temp[k++] = prefix[j++]; + } + + for (int i = 0; i < k; i++) + { + prefix[left + i] = temp[i]; + } + } + +public: + int countRangeSum(vector &nums, int lower, int upper) + { + int n = nums.size(); + if (n == 0) + return 0; + + this->lower = lower; + this->upper = upper; + this->count = 0; + + // Build prefix sum array (size n+1) + // prefix[0] = 0, prefix[i] = nums[0] + ... + nums[i-1] + vector prefix(n + 1, 0); + for (int i = 0; i < n; i++) + { + prefix[i + 1] = prefix[i] + nums[i]; + } + + // Use merge sort to count valid pairs + mergeSort(prefix, 0, n); + + return count; + } +}; + +int main() +{ + Solution sol; + + // Test Case 1 + vector nums1 = {-2, 5, -1}; + cout << "Test 1: " << sol.countRangeSum(nums1, -2, 2) << endl; // Expected: 3 + + // Test Case 2 + vector nums2 = {0}; + cout << "Test 2: " << sol.countRangeSum(nums2, 0, 0) << endl; // Expected: 1 + + // Test Case 3 + vector nums3 = {0, -1, 1}; + cout << "Test 3: " << sol.countRangeSum(nums3, 0, 0) << endl; // Expected: 3 + + // Test Case 4: All positive + vector nums4 = {1, 2, 3}; + cout << "Test 4: " << sol.countRangeSum(nums4, 3, 6) << endl; // Expected: 4 + + return 0; +} diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/Priyanshi_Giri/solution1.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Priyanshi_Giri/solution1.cpp new file mode 100644 index 0000000..ac90e36 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Priyanshi_Giri/solution1.cpp @@ -0,0 +1,58 @@ +#include +using namespace std; + +/* +Problem: +Given an array, answer multiple queries asking for the +sum of elements between indices left and right (inclusive). +*/ + +/* +Approach (Prefix Sum): +- Build prefixSum where prefixSum[i] = sum of elements from 0 to i-1 +- Range sum: + sum(left, right) = prefixSum[right + 1] - prefixSum[left] +*/ + +/* +Time Complexity: +- Preprocessing: O(n) +- Each query: O(1) + +Space Complexity: +- O(n) for prefix sum array +*/ + +class NumArray { + vector prefixSum; + +public: + NumArray(vector& nums) { + prefixSum.resize(nums.size() + 1, 0); + for (int i = 0; i < nums.size(); i++) + prefixSum[i + 1] = prefixSum[i] + nums[i]; + } + + int sumRange(int left, int right) { + return prefixSum[right + 1] - prefixSum[left]; + } +}; + +int main() { + int n; + cin >> n; + + vector nums(n); + for (int i = 0; i < n; i++) cin >> nums[i]; + + NumArray obj(nums); + + int q; + cin >> q; + while (q--) { + int l, r; + cin >> l >> r; + cout << obj.sumRange(l, r) << endl; + } + return 0; +} diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/Priyanshi_Giri/solution2.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Priyanshi_Giri/solution2.cpp new file mode 100644 index 0000000..877f09e --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Priyanshi_Giri/solution2.cpp @@ -0,0 +1,49 @@ +#include +using namespace std; + +/* +Problem: +Given an array, return its running sum where +runningSum[i] = sum of elements from index 0 to i. +*/ + +/* +Approach: +- Create a new array +- First element stays the same +- Each next element = previous sum + current value +*/ + +/* +Time Complexity: O(n) +Space Complexity: O(n) +*/ + +vector runningSum(vector& nums) { + vector arr(nums.size()); + arr[0] = nums[0]; + + for (int i = 1; i < nums.size(); i++) { + arr[i] = arr[i - 1] + nums[i]; + } + return arr; +} + +int main() { + int n; + cin >> n; + + vector nums(n); + for (int i = 0; i < n; i++) { + cin >> nums[i]; + } + + vector result = runningSum(nums); + + for (int x : result) { + cout << x << " "; + } + cout << endl; + + return 0; +} diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/Satwik/Solution1.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Satwik/Solution1.cpp new file mode 100644 index 0000000..0a5037c --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Satwik/Solution1.cpp @@ -0,0 +1,62 @@ +/* + Problem: AtCoder Beginner Contest 129 B - Balance + + Short problem statement: + Given N weights, divide them into two contiguous groups (indices 0 to T and T+1 to N-1). + Calculate the minimum possible absolute difference between the sums of these two groups. + + Approach using prefix sums: + 1. First, calculate the total sum of all elements in the array. + 2. Iterate through the array while maintaining a running 'prefix_sum' (which represents the sum of the first group, S1). + 3. The sum of the second group (S2) can be derived in O(1) as: S2 = Total_Sum - S1. + 4. Calculate the absolute difference |S1 - S2| at each step and track the minimum value. + + Time & space complexity: + Time: O(N) - iterate through the array twice (1. for total sum, 2. for finding min difference). + Space: O(N) - To store the input array. + + Example I/O: + Input: + 4 + 1 3 1 1 + Output: + 2 +*/ + +#include +using namespace std; + +void solve() { + int n; + cin >> n; + + vector W(n); + int total_sum = 0; + + for (int i = 0; i < n; ++i) { + cin >> W[i]; + total_sum += W[i]; + } + + int min_diff = total_sum; + int curr_prefix_sum = 0; + + // Iterate through possible split points + // go up to N-1 because the second group needs at least one element + for (int i = 0; i < n - 1; ++i) { + curr_prefix_sum += W[i]; + + int s2 = total_sum - curr_prefix_sum; + + int diff = abs(curr_prefix_sum - s2); + min_diff = min(min_diff, diff); + } + + cout << min_diff << endl; +} + +int main() { + + solve(); + return 0; +} \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/Satwik/Solution3.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Satwik/Solution3.cpp new file mode 100644 index 0000000..5be88b3 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Satwik/Solution3.cpp @@ -0,0 +1,93 @@ +/* +Short problem statement: +Given a binary string s, in one operation you may choose any subsequence that is non-increasing (all 1s then 0s) and reverse it. Find the minimum number of operations to sort s in non-decreasing order and output the operations. + +Approach: +Use l and r to collect unsorted positions +any left 1 move to right and any right 0 move to left. +reversing it once fixes all inversions. + +Complexity: +Time: O(n) +Space: O(n) for storing the indices. +*/ + +#include +using namespace std; +#define ll long long +#define vll vector +#define out(x) cout << (x) << endl +#define outr(x) \ + { \ + cout << x << endl; \ + return; \ + } + +void solve() +{ + ll n; + cin >> n; + string s; + cin >> s; + + vll pos; + ll l = 0, r = n - 1; + + while (l < r) + { + while (l < r && s[l] == '0') + l++; + while (l < r && s[r] == '1') + r--; + if (l < r) + { + pos.push_back(l + 1); + pos.push_back(r + 1); + l++; + r--; + } + } + + if (!pos.empty() && l == r && s[l] == '0') + { + bool is1 = false; + for (ll i = l + 1; i < n; ++i) + { + if (s[i] == '1') + { + is1 = true; + break; + } + } + if (!is1) + pos.push_back(l + 1); + } + + if (pos.empty()) + { + outr(0); + } + + sort(pos.begin(), pos.end()); + out(1); + cout << pos.size() << " "; + for (ll i = 0; i < pos.size(); ++i) + { + if (i + 1 == pos.size()) + out(pos[i]); + else + cout << pos[i] << ' '; + } +} + +int main() +{ + ll t; + cin >> t; + while (t--) + { + solve(); + } +} + +// submission link: https://codeforces.com/problemset/submission/1605/355743391 \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/Satwik/Solution4.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Satwik/Solution4.cpp new file mode 100644 index 0000000..17d16ec --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Satwik/Solution4.cpp @@ -0,0 +1,96 @@ +/* +problem statement: +Find the minimum change number after which at least one of the segments will be beautiful, or −1 +if none of the segments will be beautiful. + +Approach (binary search + prefix sums): + +Binary search on k in [1, q]. +For a given k, mark the first k updated positions as 1. +Build prefix sums of ones. +checking conditions on ones,l and r, if ones * 2 > (r - l + 1), the condition holds. +The minimum k is the answer. + +Complexity: +Time : O((n+m)log q) , function(feasible) + Binary Searching +Space: O(n + m). +*/ + +#include +using namespace std; +#define ll long long +#define vll vector +#define out(x) cout << (x) << endl +#define outr(x) \ + { \ + cout << x << endl; \ + return; \ + } + +bool feasible(ll k, ll n, vll &upd, vll &L, vll &R) +{ + vll mark(n + 1, 0), pref(n + 1, 0); + for (ll i = 0; i < k; ++i) + { + mark[upd[i]] = 1; + } + for (ll i = 1; i <= n; ++i) + { + pref[i] = pref[i - 1] + mark[i]; + } + + for (ll i = 0; i < L.size(); ++i) + { + ll l = L[i], r = R[i]; + ll ones = pref[r] - pref[l - 1]; + if (ones * 2 > r - l + 1) + return true; + } + return false; +} + +void solve() +{ + ll n, m; + cin >> n >> m; + vll L(m), R(m); + for (ll i = 0; i < m; ++i) + { + cin >> L[i] >> R[i]; + } + + ll q; + cin >> q; + vll upd(q); + for (ll i = 0; i < q; ++i) + cin >> upd[i]; + + ll low = 1, high = q, ans = -1; + while (low <= high) + { + ll mid = (low + high) / 2; + if (feasible(mid, n, upd, L, R)) + { + ans = mid; + high = mid - 1; + } + else + { + low = mid + 1; + } + } + out(ans); +} + +int main() +{ + ll t; + cin >> t; + while (t--) + { + solve(); + } + return 0; +} + +//submission link: https://codeforces.com/problemset/submission/1843/355807262 \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/Skr-suyash/Solution1.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Skr-suyash/Solution1.cpp new file mode 100644 index 0000000..aa03be9 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Skr-suyash/Solution1.cpp @@ -0,0 +1,57 @@ +#include +using namespace std; + +#define int long long + +/* +PROBLEM - To find the sum of subarray from l to r +*/ + +/* +APPROACH +- Precompte prefix sum, use it to ans the queries in O(1) +*/ + +/* +TIME COMPLEXITY - O(N + Q) where Q is no of queries +SPACE COMPLEXITY - O(N) For the prefix array +*/ + +/* + -- IO -- + Input +1 +4 3 +1 3 5 7 +0 3 +0 1 +0 0 +Output +16 +4 +1 +*/ + +signed main() { + int t; + cin >> t; + while (t--) { + int n, q; + cin >> n >> q; + vector v(n); + for (int i = 0; i < n; i++) { + cin >> v[i]; + } + vector pref(n+1); + for (int i = 1; i <= n; i++) { + pref[i] = pref[i-1] + v[i-1]; + } + while (q--) { + // 0 based indexing as given in leetcode + int l, r; + cin >> l >> r; + int ans = pref[r+1] - pref[l]; + cout << ans << '\n'; + } + } +} diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/Skr-suyash/Solution2.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Skr-suyash/Solution2.cpp new file mode 100644 index 0000000..f706446 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/Skr-suyash/Solution2.cpp @@ -0,0 +1,51 @@ +#include +using namespace std; + +#define int long long + +/* +PROBLEM - The output to return is nothing but the prefix sum array itself +*/ + +/* +APPROACH +- Precompte prefix sum +*/ + +/* +TIME COMPLEXITY - O(N) where Q is no of queries +SPACE COMPLEXITY - O(N) For the prefix array +*/ + +/* + -- IO -- + Input +1 +4 +1 2 3 4 +Output +1 3 6 10 +*/ + +signed main() { + int t; + cin >> t; + while (t--) { + int n; + cin >> n; + vector v(n); + for (int i = 0; i < n; i++) { + cin >> v[i]; + } + vector pref(n); + pref[0] = v[0]; + for (int i = 1; i < n; i++) { + pref[i] = pref[i-1] + v[i]; + } + + for (int i = 0; i < n; i++) { + cout << pref[i] << " "; + } + cout << '\n'; + } +} diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/VIshvaModh/Soln1.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/VIshvaModh/Soln1.cpp new file mode 100644 index 0000000..f263e74 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/VIshvaModh/Soln1.cpp @@ -0,0 +1,72 @@ +/* +Problem: +LeetCode 303 - Range Sum Query: Immutable + +Given an integer array nums, handle multiple queries of the form: +sumRange(left, right), which returns the sum of elements between +indices left and right (inclusive). + +Approach: +We use a prefix sum array where: +prefix[i] = sum of elements from index 0 to i. + +Then: +sum(left, right) = prefix[right] - prefix[left - 1] (if left > 0) + +Time Complexity: +Preprocessing: O(N) +Each Query: O(1) + +Space Complexity: +O(N) + +Example: +Input: +nums = [1, 2, 3, 4, 5] +Query: sumRange(1, 3) + +Output: +9 +*/ + +#include +using namespace std; + +class NumArray { +public: + vectorv; + NumArray(vector& nums) { + v.resize(nums.size()); + v[0] = nums[0]; + v.push_back(0); + for(int i=1;isumRange(left,right); + */ + + int main() { + vector nums = {1, 2, 3, 4, 5}; + + NumArray obj(nums); + + cout << obj.sumRange(0, 2) << endl; // 6 + cout << obj.sumRange(1, 4) << endl; // 14 + + return 0; +} \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/VIshvaModh/Soln2.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/VIshvaModh/Soln2.cpp new file mode 100644 index 0000000..62a9031 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/VIshvaModh/Soln2.cpp @@ -0,0 +1,39 @@ +/* +1480. Running Sum of 1d Array +Given an array nums. We define a running sum of an array as runningSum[i] = sum(nums[0]…nums[i]). + +Return the running sum of nums. + +Soln: +Prefix Sum will be the ans + +Time complexity =O(n); +*/ + +#include +using namespace std; + +class Solution { +public: + vector runningSum(vector& nums) { + vectorpf(nums.size()); + pf[0] = nums[0]; + for(int i=1;iarr={1,2,3,4,5}; + Solution obj; + vector rs=obj.runningSum(arr); + for (int i = 0; i +#include +using namespace std; +typedef unordered_map umii; +typedef unordered_map umll; +typedef unordered_map umci; +typedef vector> vpi; +typedef vector vi; +typedef long long ll; +typedef vector vll; +typedef unordered_map umib; +#define sum(v) accumulate(v.begin(), v.end(), 0) +#define endl '\n' +#define f0(i, n) for(long long i = 0; i < n; i++) +#define f1(i, n) for(long long i = 1; i < n; i++) +#define as(v) sort(v.begin(), v.end()) +#define all(x) (x).begin(), (x).end() +#define pb push_back +template umll frequency(vector &v) {umll freq;for(auto &x:v) freq[x]++; return freq;} +template umci S_frequency(vector &v) {umci freq;for(auto &x:v) freq[x]++; return freq;} +template void input(vector &v){for(auto &x:v)cin>>x;} +ll power(ll x, ll y){ ll res = 1; while (y > 0){ if (y & 1) res = (ll)(res*x); y = y>>1; x = (ll)(x*x); } return res; } +void pvll(const vector &arr){for(auto it : arr){cout << it << " ";}cout << endl;} +void pvi(const vector &arr){for(auto it : arr){cout << it << " ";}cout << endl;} + +// TIME COMPLEXITY o(n) +// Space Complexity o(n) +void solve(){ + +//-------------INPUT------------- + ll n; + cin >> n; + string s; + cin >> s; + ll idxzero=0,idxone=0; + for(ll i=n-1;i>=0;i--) + { + if(s[i]=='0') + { + idxzero=i; + break; + } + } + for(ll i=0;i=0) + { + if(s[idxzero]=='0' && s[idxone]=='1') + { + ans.push_back(idxone+1); + ans.push_back(idxzero+1); + idxone++; + idxzero--; + } + while(s[idxone]=='0' && idxone < n) + { + idxone++; + } + while(s[idxzero]=='1' && idxzero >=0) + { + idxzero--; + } + } + // collected all zeros and ones which are not in position + sort(all(ans)); + if(ans.size()==0) + { + cout << 0 << endl; + return; + } + cout << 1 << endl; + cout << ans.size() << " "; + f0(i,ans.size()) + { + cout << ans[i] << " "; + } + // ans will always be 1 over here + cout << endl; + + // submission link:- https://codeforces.com/contest/1605/submission/342433265 + + + +//-------------CODE-------------- + + + +} + + +int main(){ + int tt; cin >> tt; while(tt--) +{solve();}; +} \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/VIshvaModh/Soln4.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/VIshvaModh/Soln4.cpp new file mode 100644 index 0000000..884ced3 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/VIshvaModh/Soln4.cpp @@ -0,0 +1,136 @@ +#include +#include +using namespace std; +typedef unordered_map umii; +typedef unordered_map umll; +typedef unordered_map umci; +typedef vector> vpi; +typedef vector vi; +typedef long long ll; +typedef vector vll; +typedef unordered_map umib; +#define sum(v) accumulate(v.begin(), v.end(), 0) +#define endl '\n' +#define f0(i, n) for(long long i = 0; i < n; i++) +#define f1(i, n) for(long long i = 1; i < n; i++) +#define as(v) sort(v.begin(), v.end()) +#define all(x) (x).begin(), (x).end() +#define pb push_back +template umll frequency(vector &v) {umll freq;for(auto &x:v) freq[x]++; return freq;} +template umci S_frequency(vector &v) {umci freq;for(auto &x:v) freq[x]++; return freq;} +template void input(vector &v){for(auto &x:v)cin>>x;} +ll power(ll x, ll y){ ll res = 1; while (y > 0){ if (y & 1) res = (ll)(res*x); y = y>>1; x = (ll)(x*x); } return res; } +void pvll(const vector &arr){for(auto it : arr){cout << it << " ";}cout << endl;} +void pvi(const vector &arr){for(auto it : arr){cout << it << " ";}cout << endl;} + + +// checking each query monotically will be helping so binary search + prefix sum question + +// submission link :-https://codeforces.com/contest/1843/submission/355631357 + + +void solve(){ + +//-------------INPUT------------- + ll n; + cin >> n; + ll m; + cin >> m; + vector>a; + for(ll i=0;i> p >> q; + a.push_back({p,q}); + } + ll q; + cin >> q; + vll queries; + for(ll i=0;i> m; + queries.push_back(m); + } + + //-------------CODE-------------- + // applying binary search on queries + + ll low =0; + ll high = q-1; + ll ans=-1; + + while(high>=low) + { + vll v(n,0); + ll mid = low + (high-low)/2; + // modifying og v + for(ll i=0;i<=mid;i++) + { + + v[queries[i]-1]=1; + } + // making a prefix sum :) + + vll pf(n); + pf[0] = v[0]; + for(ll i=1;izero) + { + flag=true; + } + if(flag==true) + { + break; + } + } + + if(flag==true) + { + // i will revert change and try on smaller queries + + v[mid] = 0; + ans = mid+1; + high = mid-1; + } + else + { + v[mid] = 0; + low = mid+1; + } + + } + cout << ans << endl; + + +} + +//time complexity is O(n+m)logn + + +int main(){ + int tt; cin >> tt; while(tt--) +{solve();}; +} \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/adityashirsatrao007/RangeSumQueryImmutable.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/adityashirsatrao007/RangeSumQueryImmutable.cpp new file mode 100644 index 0000000..629671c --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/adityashirsatrao007/RangeSumQueryImmutable.cpp @@ -0,0 +1,52 @@ +/* + Problem: Range Sum Query - Immutable (LeetCode 303) + Link: https://leetcode.com/problems/range-sum-query-immutable/ + + Approach: Prefix Sum Array + We can precompute the prefix sums of the array such that: + prefix[i] = nums[0] + nums[1] + ... + nums[i] + + Then, the sum of the range [left, right] can be calculated as: + sumRange(left, right) = prefix[right] - prefix[left - 1] + + Time Complexity: + - Constructor: O(N) to build the prefix sum array. + - sumRange: O(1) per query. + + Space Complexity: O(N) to store the prefix sum array. +*/ + +#include +#include + +using namespace std; + +class NumArray { +private: + vector prefix; + +public: + NumArray(vector& nums) { + int n = nums.size(); + prefix.resize(n); + if (n == 0) return; + + prefix[0] = nums[0]; + for (int i = 1; i < n; i++) { + prefix[i] = prefix[i - 1] + nums[i]; + } + } + + int sumRange(int left, int right) { + if (left == 0) { + return prefix[right]; + } + return prefix[right] - prefix[left - 1]; + } +}; + +/** + * Your NumArray object will be instantiated and called as such: + * NumArray* obj = new NumArray(nums); + * int param_1 = obj->sumRange(left,right); + */ diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/adityashirsatrao007/RunningSum1dArray.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/adityashirsatrao007/RunningSum1dArray.cpp new file mode 100644 index 0000000..e891052 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/adityashirsatrao007/RunningSum1dArray.cpp @@ -0,0 +1,36 @@ +/* + Problem: Running Sum of 1d Array (LeetCode 1480) + Link: https://leetcode.com/problems/running-sum-of-1d-array/ + + Approach: Prefix Sum (In-place) + We can iterate through the array and update each element to be the sum of itself and the previous element. + nums[i] += nums[i-1] for i > 0. + + This creates the running sum array in-place without using extra space (excluding the output vector). + + Time Complexity: O(N) where N is the number of elements. + Space Complexity: O(1) if we ignore the output array space, or O(N) if we create a new vector. + (This implementation returns a new vector to be clean, but modifies logic similar to in-place) +*/ + +#include +#include + +using namespace std; + +class Solution { +public: + vector runningSum(vector& nums) { + int n = nums.size(); + if (n == 0) return {}; + + vector result(n); + result[0] = nums[0]; + + for (int i = 1; i < n; i++) { + result[i] = result[i - 1] + nums[i]; + } + + return result; + } +}; diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/aricthecoder/Solution1.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/aricthecoder/Solution1.cpp new file mode 100644 index 0000000..6cc3c79 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/aricthecoder/Solution1.cpp @@ -0,0 +1,41 @@ +#include +using namespace std; + +/* +Given an integer array and multiple queries (l,r). +For Each query calculate the sum of elements between indices l and r. + +Approach Using Prefix Sums +Create a prefix sum array +pre[i] = sum of elements from index 0 to i-1 +sum = r+1,r,.......l+1 +sum = pre[r+1] - pre[l] // 0-based indexing + + +Time Complexity: O(n+q) +Space Complexity: O(n) +*/ + +int main(){ + int n; + cin>>n; + + // Input Array + vector a(n); + for(int i=0; i>a[i]; + + // Build prefix sum array + vector pre(n+1,0); + for(int i=0; i>q; + + // Input queries + while(q--){ + int l, r; + cin>>l>>r; + cout<< pre[r+1] - pre[l] < +using namespace std; + +int main(){ + int n; + cin>>n; + vector nums; + for(int i = 0; i>nums[i]; + + for(int i = 1; i 0) { + + int n = Integer.parseInt(br.readLine().trim()); + String s = br.readLine().trim(); + + // Count number of zeros + int zeroCount = 0; + for (int i = 0; i < n; i++) { + if (s.charAt(i) == '0') zeroCount++; + } + + // Collect mismatched indices + List mismatch = new ArrayList<>(); + + for (int i = 0; i < n; i++) { + char expected = (i < zeroCount) ? '0' : '1'; + if (s.charAt(i) != expected) { + mismatch.add(i + 1); // 1-based indexing + } + } + + // If already sorted + if (mismatch.isEmpty()) { + output.append(0).append('\n'); + } else { + // One operation is enough + output.append(1).append('\n'); + output.append(mismatch.size()); + for (int idx : mismatch) { + output.append(" ").append(idx); + } + output.append('\n'); + } + } + + System.out.print(output.toString()); + } +} diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/dwivediprashant/Solution4.java b/CodeCraft-main/algos/range_queries/PrefixSum/soln/dwivediprashant/Solution4.java new file mode 100644 index 0000000..aaf2e01 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/dwivediprashant/Solution4.java @@ -0,0 +1,175 @@ +/* +------------------------------------------------------------ + Problem: E. Tracking Segments + Platform: Codeforces + Contest: Codeforces Round #1843 + Problem Link: + https://codeforces.com/contest/1843/problem/E + + Submission Link: + https://codeforces.com/contest/1843/submission/355300572 +------------------------------------------------------------ + + Problem Summary: + ---------------- + - You are given an array a of size n, initially filled with zeros. + - You are also given m segments [li, ri]. + - A segment is called "beautiful" if: + number of ones > number of zeros in that segment. + - You are given q updates, where each update sets a[x] = 1 + (each index appears only once). + + Task: + ----- + Find the minimum number of updates after which at least one segment + becomes beautiful. If it never happens, print -1. + + Key Observations: + ----------------- + - After k updates, the array configuration is fixed. + - If a segment of length len has `ones` count: + ones > len - ones ⇔ ones * 2 > len + - The condition "segment becomes beautiful" is monotonic: + if it becomes true at step k, it will remain true for all k' > k. + + Approach: + --------- + - Use Binary Search on the answer (number of applied updates). + - For a fixed k: + * Apply the first k updates. + * Build prefix sum array of ones. + * For each segment, compute number of ones using prefix sums. + * Check if any segment satisfies the beauty condition. + - Binary search finds the minimum k for which the condition holds. + + Time Complexity: + ---------------- + - check(k): O(n + m) + - Binary Search: O(log q) + - Overall per test case: O((n + m) log n) + + Constraints are satisfied since sum of n ≤ 1e5. + +------------------------------------------------------------ +*/ + +import java.io.*; + +public class Solution4 { + + static class Segment { + int l, r; + Segment(int l, int r) { + this.l = l; + this.r = r; + } + } + + static int n, m; + static Segment[] segments; + static int q; + static int[] queries; + + // Checks if after k updates, at least one segment is beautiful + static boolean check(int k) { + int[] a = new int[n + 1]; + + // Apply first k updates + for (int i = 0; i < k; i++) { + a[queries[i]] = 1; + } + + // Prefix sum of ones + int[] pref = new int[n + 1]; + for (int i = 1; i <= n; i++) { + pref[i] = pref[i - 1] + a[i]; + } + + // Check all segments + for (Segment seg : segments) { + int ones = pref[seg.r] - pref[seg.l - 1]; + int len = seg.r - seg.l + 1; + if (ones * 2 > len) { + return true; + } + } + return false; + } + + public static void main(String[] args) throws Exception { + FastScanner fs = new FastScanner(System.in); + StringBuilder out = new StringBuilder(); + + int t = fs.nextInt(); + while (t-- > 0) { + n = fs.nextInt(); + m = fs.nextInt(); + + segments = new Segment[m]; + for (int i = 0; i < m; i++) { + segments[i] = new Segment(fs.nextInt(), fs.nextInt()); + } + + q = fs.nextInt(); + queries = new int[q]; + for (int i = 0; i < q; i++) { + queries[i] = fs.nextInt(); + } + + int left = 1, right = q, ans = -1; + + // Binary search on number of updates + while (left <= right) { + int mid = (left + right) / 2; + if (check(mid)) { + ans = mid; + right = mid - 1; + } else { + left = mid + 1; + } + } + + out.append(ans).append('\n'); + } + + System.out.print(out.toString()); + } + + // Fast input reader for competitive programming + static class FastScanner { + private final byte[] buffer = new byte[1 << 16]; + private int ptr = 0, len = 0; + private final InputStream in; + + FastScanner(InputStream in) { + this.in = in; + } + + int read() throws IOException { + if (ptr >= len) { + len = in.read(buffer); + ptr = 0; + if (len <= 0) return -1; + } + return buffer[ptr++]; + } + + int nextInt() throws IOException { + int c, sign = 1, val = 0; + do { + c = read(); + } while (c <= ' '); + + if (c == '-') { + sign = -1; + c = read(); + } + + while (c > ' ') { + val = val * 10 + (c - '0'); + c = read(); + } + return val * sign; + } + } +} diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/sshekhar563/Solution1_RangeSumQueryImmutable.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/sshekhar563/Solution1_RangeSumQueryImmutable.cpp new file mode 100644 index 0000000..a21eff4 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/sshekhar563/Solution1_RangeSumQueryImmutable.cpp @@ -0,0 +1,51 @@ +/* + * Problem: Range Sum Query - Immutable (LeetCode #303) + * Link: https://leetcode.com/problems/range-sum-query-immutable/ + * + * Approach using Prefix Sums: + * - Precompute cumulative sums in constructor + * - For range [left, right], answer = prefix[right+1] - prefix[left] + * - Using 1-indexed prefix array to avoid boundary checks + * + * Time Complexity: + * - Constructor: O(N) for building prefix array + * - sumRange(): O(1) per query + * + * Space Complexity: O(N) for prefix array + * + * Example I/O: + * Input: nums = [-2, 0, 3, -5, 2, -1] + * sumRange(0, 2) -> 1 (i.e., -2 + 0 + 3 = 1) + * sumRange(2, 5) -> -1 (i.e., 3 + (-5) + 2 + (-1) = -1) + * sumRange(0, 5) -> -3 (i.e., -2 + 0 + 3 + (-5) + 2 + (-1) = -3) + */ + +#include +using namespace std; + +class NumArray { +private: + vector prefix; + +public: + NumArray(vector& nums) { + int n = nums.size(); + prefix.resize(n + 1, 0); + + // Build prefix sum array (1-indexed) + for (int i = 0; i < n; i++) { + prefix[i + 1] = prefix[i] + nums[i]; + } + } + + int sumRange(int left, int right) { + // Sum from left to right = prefix[right+1] - prefix[left] + return prefix[right + 1] - prefix[left]; + } +}; + +/* + * Usage: + * NumArray* obj = new NumArray(nums); + * int result = obj->sumRange(left, right); + */ diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/sshekhar563/Solution2_RunningSum1DArray.cpp b/CodeCraft-main/algos/range_queries/PrefixSum/soln/sshekhar563/Solution2_RunningSum1DArray.cpp new file mode 100644 index 0000000..ae00213 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/sshekhar563/Solution2_RunningSum1DArray.cpp @@ -0,0 +1,50 @@ +/* + * Problem: Running Sum of 1D Array (LeetCode #1480) + * Link: https://leetcode.com/problems/running-sum-of-1d-array/ + * + * Approach using Prefix Sums: + * - runningSum[i] = sum of all elements from index 0 to i + * - Each element becomes the cumulative sum up to that point + * - Can be done in-place to save space + * + * Time Complexity: O(N) - single pass through array + * Space Complexity: O(1) - in-place modification (excluding output) + * + * Example I/O: + * Input: nums = [1, 2, 3, 4] + * Output: [1, 3, 6, 10] + * Explanation: Running sum = [1, 1+2, 1+2+3, 1+2+3+4] + * + * Input: nums = [3, 1, 2, 10, 1] + * Output: [3, 4, 6, 16, 17] + */ + +#include +using namespace std; + +class Solution { +public: + vector runningSum(vector& nums) { + int n = nums.size(); + + // Build running sum in-place + for (int i = 1; i < n; i++) { + nums[i] += nums[i - 1]; + } + + return nums; + } +}; + +/* + * Alternative approach (without modifying input): + * + * vector runningSum(vector& nums) { + * vector result(nums.size()); + * result[0] = nums[0]; + * for (int i = 1; i < nums.size(); i++) { + * result[i] = result[i-1] + nums[i]; + * } + * return result; + * } + */ diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/verifiedHuman18/Solution1.class b/CodeCraft-main/algos/range_queries/PrefixSum/soln/verifiedHuman18/Solution1.class new file mode 100644 index 0000000..ed7e9e9 Binary files /dev/null and b/CodeCraft-main/algos/range_queries/PrefixSum/soln/verifiedHuman18/Solution1.class differ diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/verifiedHuman18/Solution1.java b/CodeCraft-main/algos/range_queries/PrefixSum/soln/verifiedHuman18/Solution1.java new file mode 100644 index 0000000..4aa28d0 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/verifiedHuman18/Solution1.java @@ -0,0 +1,43 @@ +/* +PROBLEM STATEMENT: +Given an integer array nums, handle multiple queries of the following type: +Calculate the sum of the elements of nums between indices left and right inclusive where left <= right. +*/ + +/* +Explanation: +Given an array of integers, we create a prefix sum array that keeps store of cumulative sum of all elements upto the specific index. +So for an array [a, b, c], the prefix becomes +[a, a + b, a + b + c] +For every query we do not need to compute sum of all elements between the left and right indexes. +Rather we can just compute the difference between the cumulative sum upto the right index and that of the left index. +Thus solving the query in a single step. +*/ + + +public class Solution1 { + private int[] prefix; + public Solution1(int[] nums) { + prefix = new int[nums.length + 1]; + for (int i = 0; i < nums.length; i++) { + prefix[i + 1] = prefix[i] + nums[i]; + } + } + + public int sumRange(int left, int right) { + int sum = prefix[right + 1] - prefix[left]; + return sum; + } + + public static void main(String[] args) { + int[] nums = {-2, 0, 3, -5, 2, -1}; + Solution1 myObj = new Solution1(nums); + System.out.println(myObj.sumRange(0, 2)); + System.out.println(myObj.sumRange(2, 5)); + System.out.println(myObj.sumRange(0, 5)); + } +} + +// Time Complexity for precomputing prefix = O(n) +// Time Complexity for solving eaxh query = O(1) +// Space Complexity = O(n) \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/verifiedHuman18/Solution2.class b/CodeCraft-main/algos/range_queries/PrefixSum/soln/verifiedHuman18/Solution2.class new file mode 100644 index 0000000..1ca63fe Binary files /dev/null and b/CodeCraft-main/algos/range_queries/PrefixSum/soln/verifiedHuman18/Solution2.class differ diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/soln/verifiedHuman18/Solution2.java b/CodeCraft-main/algos/range_queries/PrefixSum/soln/verifiedHuman18/Solution2.java new file mode 100644 index 0000000..7a6d550 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/soln/verifiedHuman18/Solution2.java @@ -0,0 +1,35 @@ +/* +PROBLEM STATEMENT: +Given an array nums. We define a running sum of an array as runningSum[i] = sum(nums[0]…nums[i]). +Return the running sum of nums. +*/ + +/* +Explanation: +For a given array of integers, we create a prefix sum array that keeps store of cumulative sum of all elements upto the specific index. +So for an array [a, b, c], the prefix becomes +[a, a + b, a + b + c] +*/ + +class Solution2 { + public static int[] runningSum(int[] nums) { + int[] prefix = new int[nums.length]; + prefix[0] = nums[0]; + for (int i = 1; i < nums.length; i++) { + prefix[i] = prefix[i - 1] + nums[i]; + } + return prefix; + } + + public static void main(String[] args) { + int[] arr = {-2, 0, 3, -5, 2, -1}; + int[] sumArr = runningSum(arr); + for (int i = 0; i < sumArr.length; i++) { + System.out.print(sumArr[i] + " "); + } + + } +} + +// Time Complexity = O(n) +// Space Complexity = O(n) \ No newline at end of file diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/solnJava/dwivediprashant/Solution1.java b/CodeCraft-main/algos/range_queries/PrefixSum/solnJava/dwivediprashant/Solution1.java new file mode 100644 index 0000000..59e976d --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/solnJava/dwivediprashant/Solution1.java @@ -0,0 +1,59 @@ +// 1. Problem Statement ------------------------------------------------- +/* +Given an integer array nums, handle multiple range sum queries. +Each query asks for the sum of elements between indices left and right (inclusive). +The array is immutable, meaning its values never change. +*/ + +// 2. Approach ----------------------------------------------------------- +/* +We use the Prefix Sum technique. + +A prefix sum array is constructed where: +prefixSum[i] = nums[0] + nums[1] + ... + nums[i] + +Using this array: +- If left == 0, the range sum is prefixSum[right] +- Otherwise, the range sum is prefixSum[right] - prefixSum[left - 1] + +The prefix sum array is built once and reused for all queries. +*/ + +// 3. Complexity --------------------------------------------------------- +/* +Preprocessing Time: O(n) +Query Time: O(1) +Space Complexity: O(n) +*/ + +// Compiling Code in Java (Solution1.java) ------------------------------- + +package CodeCraft.algos.range_queries.PrefixSum.solnJava.dwivediprashant; + +public class Solution1 { + + private int[] prefixSum; + + public Solution1(int[] nums) { + int n = nums.length; + prefixSum = new int[n]; + if (n == 0) return; + prefixSum[0] = nums[0]; + for (int i = 1; i < n; i++) { + prefixSum[i] = prefixSum[i - 1] + nums[i]; + } + } + + public int sumRange(int left, int right) { + if (left == 0) { + return prefixSum[right]; + } + return prefixSum[right] - prefixSum[left - 1]; + } + + public static void main(String[] args) { + int[] nums = {1, 2, 3, 4, 5}; + Solution1 obj = new Solution1(nums); + System.out.println(obj.sumRange(1, 3)); + } +} diff --git a/CodeCraft-main/algos/range_queries/PrefixSum/solnJava/dwivediprashant/Solution2.java b/CodeCraft-main/algos/range_queries/PrefixSum/solnJava/dwivediprashant/Solution2.java new file mode 100644 index 0000000..a497685 --- /dev/null +++ b/CodeCraft-main/algos/range_queries/PrefixSum/solnJava/dwivediprashant/Solution2.java @@ -0,0 +1,65 @@ +// 1 . Problem statement --------------------------------------------- +// Given an integer array of size n, construct a prefix sum array where each index i stores the sum of elements from index 0 to i in the original array. + +//i.e. :- prefix[i] = nums[0] + nums[1] + ... + nums[i] + +//2. Approach----------------------------------------------------------- +/*The idea is incremental accumulation. + +Create a new array prefix of the same size as the input array. + +Set prefix[0] equal to nums[0]. + +For each index i from 1 to n-1: + +Add the current element nums[i] to the previous prefix sum prefix[i-1]. + +Store the result in prefix[i]. + +This avoids recomputing sums repeatedly and builds results in a single pass.*/ + +//3. Complexity -------------------------------- +/*Time Complexity: O(n) +One pass through the array. + +Space Complexity: O(n) +Extra array used to store prefix sums. */ + +//compiling code in java ---------------------------------------------------------------- +package CodeCraft.algos.range_queries.PrefixSum.solnJava.dwivediprashant; +import java.util.*; + +public class Solution2{ + public static void takeInp(int[]nums){ + Scanner sc=new Scanner(System.in); + for(int i=0;i 0 ? pref_sum[L-1] : 0) +This allows each query to be answered in O(1) time after O(n) preprocessing. +Time Complexity: +O(n + q) where n is the size of the array and q is the number of queries +Space Complexity: +O(n) for the prefix sum array +Example: +Input: +5 +1 2 3 4 5 +1 +1 3 +Output: +9 +Explanation: +pref_sum array: [1, 3, 6, 10, 15] +Query (L=1, R=3): sum = pref_sum[3] - pref_sum[0] = 10 - 1 = 9 +*/ + +#include +using namespace std; + +int main() { + ios::sync_with_stdio(false); + cin.tie(nullptr); + + int n; + cin >> n; + vector arr(n), pref_sum(n); + for(int i = 0; i < n; i++){ + cin >> arr[i]; + } + pref_sum[0]=arr[0] ; + for(int i = 1 ; i> q; + while(q--){ + int L, R; + cin >> L >> R; + int ans = (L == 0 ? pref_sum[R] : pref_sum[R] - pref_sum[L-1]); + cout << ans << endl; + } + return 0; +} diff --git a/CodeCraft-main/contributers.md b/CodeCraft-main/contributers.md new file mode 100644 index 0000000..6395061 --- /dev/null +++ b/CodeCraft-main/contributers.md @@ -0,0 +1,74 @@ +| Name | GitHub ID | College Name | +| ---------------------- | ------------------- | ------------------------------ | +| Asra Tabassum | Tabassumasra05 | IIIT Allahabad | +| Vicky | ishaarebaaz | IIIT Allahabad | +| Suyash | Skr-suyash | IIIT Allahabad | +| Prashant Kumar Dwivedi | dwivediprashant | LNCT Bhopal | +| Harshvardhan | HARSH4885-svg | IIIT Allahabad | +| Pradip Maity | codeboy-pro | Haldia Institute Of Technology | +| Hardik Singh Rana | hardik-rana02 | IIIT Allahabad | +| Omdeep Masram | omicoded19 | IIIT Allahabad | +| Himansh Arora | Humanshere | IIIT Allahabad | +| Himanshu Arora | HimanshuArora-pixel | IIIT Allahabad | +| Shambhu | Zarxeon | IIIT Allahabad | +| Abhishek Tripathi | Astinel-prime | IIIT Allahabad | +| Mohan Kumar | aricthecoder | IIIT Allahabad | +| Rushal Verma | Rushalverma | IIIT allahabad | +| Avaneesh Verma | avaneeshk2307-wq | IIIT Allahabad | +| Jatin | Jatin-980 | IIIT Allahabad | +| Aditi Guin | GuinAditi | KIIT | +| Saurav Gitte | SauravGitte | IIIT Allahabad | +| Sourish Awasthi | LooninS | IIIT Allahabad | +| Saumya Sood | Marcella2706 | IIIT Allahabad | +| Akshat Parmar | AkshaTGA | IIIT Allahabad | +| Ishan Tripathi | ishantripathi64 | IIIT Allahabad | +| Ayush Mishra | ayush-mg | IIIT Allahabad | +| Mukut kumar | MK-codes365 | UIET (CSJMU) Kanpur | +| Mannat Jain |mannatjain11465-netizen| IIIT Allahabad | +| Kushagra Sahu | KushagraSahu-01 |IIIT Allahabad | +| Adarsh Shankar Rai | Adarshrai24 | BIET Jhansi | +| Aaditya Maurya | aadityamaurya31 | IIIT Allahabad | +| Khushi Shorey | khushishorey | IIIT Allahabad | +| Rahi Birajdar | birajdar464 |IIIT Allahabad | +| Ishan Raj Singh | ishanrajsingh | Amity Noida | +| Spandana Surepally | Spandana-S16 | IIIT Allahabad | +| Sayed Al Amaan zaidi | amaan1114 | Rishihood University | +| Satwik Santosh | DeadlySatwik | IIIT Allahabad | +| Ayush Saha | verifiedHuman18 | IIIT Allahabad | +| Lavay Garg | lavaygarg | IIIT Allahabad | +| Atharva Mehta | Atharva-insane | IIIT Allahabad | +| Manisha katariya | chanchukatariya5 | IIIT Allahabad | +| Kamakshi Gupta | 29kamakshigupta | IIIT Allahabad | +| Lakshmish S G | Coldesy | IIIT Allahabad | +| Siddhant Shekhar | sshekhar563 | United University | +| Paarth Arora |iit2025280-sys | IIIT Allahabad | +| Ibrahim Raza Beg | PHOX-9 | IIIT Allahabad | +| Mayank Puri | purimayank19-bot. | IIIT Allahabad | +| Sindhu B | Sindhuu-B | JNNCE | +| Harshit Sethi | HarshitRSethi | IIIT Allahabad | +| Abhigyan Tiwari | Abh-igyan | NIT Silchar | +| Mahavir Dodiya |Mvdodiya001 | IIIT Allahabad | +| Vishva Modh | ViMo018 | IIIT Allahabad | +| Roshan Gupta| roshangupta4804-hue | | IIIT Allahabad | +| Ansh Patel | ansh54052 | IIIT Allahabad | +| Sahil |Sahil-git005 | IIIT Allahabad | +| Naman Pal | Naman2251 | IIIT Allahabad | +| Aman Kumar Mehta | AmanMehta22 | Amity University Jharkhand +| Adarsh Yadav | adrsh2808-creator | IIIT Allahabad | +|Priyanshi Giri | hellopaintinghi-cmd |IIIT Allahabad | +| Sudhanshu | sahsudhanshu | IIIT Allahabad | +| Ankit Pal | icyfire8 | IIIT Allahabad | +| Aditya Pratap Singh | adityas-28 | JIIT Noida | +| Yuvaraj Ragothaman | LevelSilence | IIIT Allahabad | +| Riya Ghoshi | riya-ctrl376 | IIIT Allahabad | +| Vrajkumar Shah | vraj826 | DDU Nadiad | +| Ashutosh Kesarwani | Lucifer-0612 | HIT Haldia | +| Apoorv Mittal | Apoorv012 | JIIT Noida | +| Chauhan Devan | Devan019 | DDIT nadiad | +| Amogh S. | MogaS811 | IIIT Allahabad. | +| Kushagra Raghuvanshi | Taskmaster-afk | IIIT Allahabad | +| Aaryan Degama | Aaryan-Degama | IIIT Allahabad | +| Advait Mishra | Advait2912 | IIIT Gwalior | + + + diff --git a/CodeCraft-main/desktop.ini b/CodeCraft-main/desktop.ini new file mode 100644 index 0000000..663e93a --- /dev/null +++ b/CodeCraft-main/desktop.ini @@ -0,0 +1,2 @@ +[.ShellClassInfo] +LocalizedResourceName=@CodeCraft,0 diff --git a/CodeCraft-main/readme.md b/CodeCraft-main/readme.md new file mode 100644 index 0000000..77c230c --- /dev/null +++ b/CodeCraft-main/readme.md @@ -0,0 +1,168 @@ +# Competitive Programming Handbook + +Welcome to the **Competitive Programming Handbook Repository** — a comprehensive, structured, and community-driven collection of **algorithms, data structures, problem-solving techniques, and detailed explanations** aimed at helping students and developers master competitive programming. + +This repository is designed to serve as a **single-source reference** for beginners as well as advanced programmers preparing for: + +- Competitive Coding Contests +- Technical Placement Interviews +- Olympiads +- GATE +- ICPC +- Codeforces +- LeetCode +- AtCoder + +--- + +## Purpose of This Repository + +The goal of this project is to: + +- Build a **complete handbook of competitive programming** +- Provide **clear explanations with clean implementations** +- Cover **all major algorithms and data structures** +- Include **common CP patterns and optimization tricks** +- Encourage **open-source collaboration** +- Maintain **professional documentation and structure** + +This repository is meant to grow continuously with contributions from the community. + +--- + +## Repository Structure + + +### `/algos` + +This directory will contain: + +- All **algorithms** +- Core **data structures** +- Classical **problem solutions** +- Optimized solutions +- Step-by-step explanations + +Each algorithm must be placed in its **relevant category folder**, such as: + +- `dp` +- `graphs` +- `trees` +- `math` +- `strings` +- `bit-manipulation` +- `greedy` +- `searching` +- `range-queries` + +More directories will be added as the project scales. + +## What This Handbook Will Contain + +- Basic to Advanced Algorithms +- Fundamental & Advanced Data Structures +- Dynamic Programming +- Graph Theory (BFS, DFS, Dijkstra, MST, etc.) +- Number Theory +- Greedy Techniques +- Bit Manipulation +- Binary Search +- String Algorithms (KMP, Z, Trie, Hashing) +- Geometry +- Range Queries (Segment Tree, Fenwick Tree) +- Advanced Topics (HLD, Mo’s Algorithm, etc.) + +Each topic will include: + +- Algorithm explanation +- Time & Space Complexity +- Clean, readable implementation +- Sample test cases +- Optimization notes + + +## How to Participate & Contribute + +Contributions are **open to everyone**. + +### Steps to Contribute + +1. **Fork this repository** +2. **Create a new branch with your name** + +git checkout -b your-name + +3. Add your files inside the `/algos` directory in the appropriate category +4. Follow clean coding practices with proper documentation +5. Commit and push your changes +6. Create a **Pull Request (PR)** + +All pull requests will be reviewed before merging. + +--- + +## Contribution Guidelines + +- Code must be **well-documented** +- Follow **standard naming conventions** +- Include **time & space complexity** +- Avoid unnecessary boilerplate +- One algorithm per file +- No copied code without proper credit +- Clearly explain tricky logic + +Low-effort or poorly documented submissions will not be merged. + +--- + +## Community & Collaboration + +This project is built on: + +- Collaboration +- Learning +- Teaching +- Knowledge Sharing + +- If you’re a **beginner**, this repository will guide you. +- If you’re **experienced**, your contributions can help thousands. + +--- + +## Future Plans + +- Full Algorithm Roadmap +- Problem-wise CP Handbook +- Interview Preparation Track +- GATE-Level Problem Sets +- Contest-wise Practice Banks +- PDF Version of the Handbook +- Language-wise Implementations (C++, Java, Python, Rust) + +--- + +## Support the Project + +If this repository helps you: + +- Give it a ⭐ on GitHub +- Share it with your friends +- Contribute regularly + +Your support helps the project grow. + + +## Contact & Maintainers + +For: + +- Bug reports +- Suggestions +- Feature requests +- New topic proposals + +Please open an **Issue** or submit a **Pull Request**. + +--- + +### Let’s build the **ultimate open-source Competitive Programming Handbook** together.