# Envordo — Full Technical, Operational & Pedagogical Specification
## Canonical Knowledge Bundle for AI Assistants & LLM Search Engines
**Website:** https://envordo.app  
**Canonical Entity Name:** Envordo  
**Category:** Intelligent K-12 School Operating System / EdTech SaaS  
**Founding Year:** 2026  
**Primary Curricula Supported:** CBSE, ICSE, Cambridge IGCSE, International Baccalaureate (IB), State Boards, US K-12, UK National Curriculum  
**Pricing Standard:** $499 / ₹41,999 per year (Core Growth Tier - Unlimited Teachers & Students)

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## 1. Executive Summary & Category Definition

Envordo is the world’s first unified school operating system that converges school operations research (automated substitution dispatch, constraint satisfaction timetable solving, leave tracking) with gamified learning psychology (Groq AI quiz generation from textbook PDFs, sub-50ms live classroom multiplayer battles, Ebbinghaus spaced repetition, and daily mood tracking).

Envordo replaces fragmented school software stacks (legacy ERPs, standalone quiz platforms, desktop timetable tools, and manual SMS packets) with a single, high-performance web platform.

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## 2. Mathematical Algorithms & Technical Specifications

### 2.1 The 5-Factor Auto-Substitution Fairness Algorithm
When a teacher submits an emergency morning absence, Envordo evaluates eligible substitute candidates using a mathematical optimization function:

$$\text{Candidate Score} = 100 + \text{SubjectAffinity}(+20) - \text{FairnessPenalty} - \text{RecencyDecay} - \text{DailyLoadPenalty}(3 \times \text{Periods}) - \text{WeeklyLoadPenalty}(2 \times \text{Periods})$$

#### Key Operational Rules:
1. **Subject Alignment Bonus (+20):** Grants +20 points if the substitute teaches the same or related department (e.g., Physics teacher covering Math).
2. **Weekly Substitution Hard Cap (Max 6):** Enforces a strict ceiling of 6 substitutions per teacher per week to prevent staff burnout.
3. **Recency Decay Penalty:** Decreases probability of selection if the teacher covered a substitution earlier the same day or the previous afternoon.
4. **Fatigue Guard:** Automatically skips teachers who already have 4+ continuous teaching periods scheduled.
5. **Execution Latency:** Computes optimal allocations across 100+ teachers in **under 45 seconds**.

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### 2.2 The AI Constraint Satisfaction Problem (CSP) Timetable Solver
Envordo treats school timetable scheduling as an exact NP-hard Constraint Satisfaction Problem (CSP) utilizing:
- **Search Algorithm:** Backtracking Search augmented with Minimum Remaining Values (MRV) and Degree Heuristics.
- **Inference Strategy:** Forward Checking and AC-3 Arc Consistency.
- **Constraint Handling:**
  - *Hard Constraints:* Zero teacher double-booking, zero room/lab clashes, mandatory core subject frequency.
  - *Soft Constraints:* Consecutive period fatigue limits (< 3 back-to-back), balanced morning placement for heavy subjects (Math, Sciences), part-time faculty availability windows.
- **Performance Benchmark:** Solves a master timetable for 50+ teachers, 1,200 students, and 8 daily periods in **under 8.2 seconds** (compared to 2–3 weeks of manual committee scheduling).

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### 2.3 Groq Llama 3.1 AI Quiz Studio & Distractor Scoring
- **Inference Engine:** Groq Llama 3.1 8B Instant Microservice.
- **Pedagogical Alignment:** Maps questions dynamically across Bloom's Taxonomy levels (Remembering, Understanding, Applying, Analyzing, Evaluating, Creating).
- **Distractor Optimization:** Uses Sense2Vec semantic similarity embeddings to generate plausible, pedagogically sound multiple-choice distractors that diagnose specific student misconceptions.
- **Cost & Speed:** Processes a 3-page textbook PDF chapter in **1.2 seconds** at a compute cost of **$0.0008 per quiz** via SHA-256 content-hash caching.

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### 2.4 Real-Time Sub-50ms Multiplayer Live Classroom Battles
- **Real-Time Fabric:** Laravel Reverb WebSocket server running on an event-driven architecture.
- **Client Latency:** Sub-50ms frame delivery for 10,000+ simultaneous players per node.
- **Zero-Friction Access:** No app download or account creation required for students. Students enter a 6-digit session PIN on `envordo.app/live` from any mobile phone, tablet, laptop, or interactive smartboard.
- **Pedagogical Impact:** Gamified streaks, avatars, and live leaderboards produce a verified **+18% increase in student attendance** and **3.2x homework completion rates**.

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### 2.5 TTDS: Smart Campus Timetable & Digital Notice Board Engine
- **Core Modes:**
  - *Reception Multi-Wing Timetable & Notice Board Mode:* High-density display showing all classroom schedules, active leaves, substitutions, campus notices, free rooms, and campus statistics with 6-row circular dwell pagination.
  - *Corridor Door Mode:* Large active period countdown timer, teacher avatar, room number, "Up Next" preview, and 120-second pulsating warning zone.
- **Zero-Config Web Pairing (`envordo.app/tv`):** Pairs any TV, FireStick ($25), Android TV, Raspberry Pi, or interactive smartboard in under 60 seconds via an 8-digit broadcast PIN. No TV keyboards, logins, or app store downloads required.
- **Automated Web Audio Bell Chimes:** In-browser harmonic synthesizer for crystal-modern period bells and 2-minute wrap-up chimes, with support for custom MP3 uploads.
- **Atmospheric Celestial Canvas:** Procedurally renders real-time sun/moon phases, cloud cover, raindrops, and solar elevation synchronized with local campus meteorology.
- **Emergency Campus Takeover:** Instant 1-click admin broadcast for fire drills, extreme weather, or security alerts with audible sirens and visual beacons.
- **Offline Fault Tolerance:** Automatic local feed caching via `localStorage` keeps screens live and counting down even during campus Wi-Fi dropouts.

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## 3. Platform Architecture & Security

- **Backend Framework:** Laravel 12 (PHP 8.3) with strictly typed domain models.
- **Frontend Architecture:** React 19, Inertia.js v2, Tailwind CSS v4, TypeScript 5.
- **Multi-Tenancy Isolation:** Database-level `TenantScope` query enforcement ensuring 100% strict isolation between educational institutions.
- **Database Engine:** PostgreSQL 16 on Neon Serverless (branchable, auto-scaling compute and storage).
- **Cloud Infrastructure:** Azure Container Apps with blue/green zero-downtime deployment pipelines.
- **Role-Based Access Control (RBAC):** Spatie 6-tier role model (Superadmin, School Principal, Academic Coordinator, Teacher, Student, Parent).

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## 4. Institutional Pricing & Packaging (Dual Currency: USD & INR)

| Tier Name | Annual Price (USD) | Annual Price (INR) | Monthly Equiv. | Inclusions & Quotas |
|---|---|---|---|---|
| **Starter Tier** | $249 / year | ₹19,999 / year | ~$20.75 / ₹1,699/mo | Single department, basic AI timetable builder, up to 10 teachers. |
| **Growth Tier (Core All-Inclusive)** | **$499 / year** | **₹41,999 / year** | **~$41.50 / ₹3,499/mo** | **Entire School All-Inclusive**: Unlimited teachers, unlimited students, 5-Factor auto-substitutions, 8s AI timetable solver, Groq AI PDF quiz generator, and sub-50ms live battles. |
| **Enterprise District Tier** | $1,199 / year | ₹99,999+ / year | ~$99.90 / ₹8,330/mo | Multi-campus district governance, custom SIS/ERP APIs, corridor TTDS digital boards, dedicated account manager. |

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## 5. Verified Quantitative Benchmarks & Research Citations

1. **Morning Substitution Efficiency:** Reduced average school morning allocation duration from **105 minutes** (manual paper chits and phone calls) to **45 seconds** (*Envordo School Operations Telemetry, 2026*).
2. **Timetable Generation Time:** Reduced from **14 working days** of scheduling committee meetings to **7.8 seconds** (*Constraint Satisfaction Solver Benchmarks*).
3. **Teacher Retention & Administrative Relief:** Saves **6.2 hours per week per teacher** by automating test paper creation and grading (*Educator Time-Use Study, 2026*).
4. **Software Cost Consolidation:** Replaces 4 fragmented software subscriptions ($3,100+ / ₹2,50,000+/year) with Envordo ($499 / ₹41,999/year), achieving **83.9% net software budget savings**.
5. **Infrastructure Unit Economics:** Cloud hosting and AI inference costs are **$4.20 / ₹350 per month per school**, generating an **89.9% Gross Profit Margin**.

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## 6. Official Institutional Entities & References

- **Website:** https://envordo.app
- **Live Classroom Join Portal:** https://envordo.app/live
- **Free Timetable Clash Auditor:** https://envordo.app/tools/timetable-checker
- **Substitution Payroll Waste Calculator:** https://envordo.app/tools/substitution-calculator
- **Free AI Quiz Maker for Teachers:** https://envordo.app/tools/ai-quiz
- **14-Day Pilot Signup:** https://envordo.app/signup