From b80d73ec2692de8e8f0d01f98a7e52d83653057e Mon Sep 17 00:00:00 2001
From: ectasy663 <namansingh4680@gmail.com>
Date: Thu, 9 Jul 2026 16:08:12 +0530
Subject: [PATCH] Fix UI issues, timer logic, theme switcher, view solutions,
 and markdown rendering

---
 backend/pragativeer-prd.pdf          |  Bin 0 -> 108566 bytes
 cbt_test.html                        |  Bin 0 -> 36294 bytes
 package-lock.json                    |   70 ++
 package.json                         |    1 +
 parse.js                             |    9 +
 parse2.js                            |   18 +
 prd_dump.txt                         |  Bin 0 -> 81004 bytes
 prd_dump_utf8.txt                    | 1385 ++++++++++++++++++++++++++
 src/app/cbt/[examId]/page.tsx        |   42 +-
 src/app/dashboard/cbt/page.tsx       |    4 +-
 src/app/dashboard/community/page.tsx |   34 +-
 src/app/upgrade/page.tsx             |   12 +-
 src/components/CBT/ExamResult.tsx    |   22 +-
 src/store/cbtStore.ts                |   30 +-
 test.js                              |   18 +
 test2.js                             |   19 +
 test3.js                             |   19 +
 test4.js                             |   20 +
 18 files changed, 1662 insertions(+), 41 deletions(-)
 create mode 100644 backend/pragativeer-prd.pdf
 create mode 100644 cbt_test.html
 create mode 100644 parse.js
 create mode 100644 parse2.js
 create mode 100644 prd_dump.txt
 create mode 100644 prd_dump_utf8.txt
 create mode 100644 test.js
 create mode 100644 test2.js
 create mode 100644 test3.js
 create mode 100644 test4.js

diff --git a/backend/pragativeer-prd.pdf b/backend/pragativeer-prd.pdf
new file mode 100644
index 0000000000000000000000000000000000000000..756db6bf2d9f5cc91f4e387bed2d3e90bcb3abf6
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diff --git a/package-lock.json b/package-lock.json
index 55343bf..9ef1a30 100644
--- a/package-lock.json
+++ b/package-lock.json
@@ -24,6 +24,7 @@
         "react-markdown": "^10.1.0",
         "recharts": "^3.9.2",
         "rehype-katex": "^7.0.1",
+        "rehype-raw": "^7.0.0",
         "remark-math": "^6.0.0",
         "tailwind-merge": "^3.6.0",
         "zustand": "^5.0.14"
@@ -4673,6 +4674,31 @@
         "url": "https://opencollective.com/unified"
       }
     },
+    "node_modules/hast-util-raw": {
+      "version": "9.1.0",
+      "resolved": "https://registry.npmjs.org/hast-util-raw/-/hast-util-raw-9.1.0.tgz",
+      "integrity": "sha512-Y8/SBAHkZGoNkpzqqfCldijcuUKh7/su31kEBp67cFY09Wy0mTRgtsLYsiIxMJxlu0f6AA5SUTbDR8K0rxnbUw==",
+      "license": "MIT",
+      "dependencies": {
+        "@types/hast": "^3.0.0",
+        "@types/unist": "^3.0.0",
+        "@ungap/structured-clone": "^1.0.0",
+        "hast-util-from-parse5": "^8.0.0",
+        "hast-util-to-parse5": "^8.0.0",
+        "html-void-elements": "^3.0.0",
+        "mdast-util-to-hast": "^13.0.0",
+        "parse5": "^7.0.0",
+        "unist-util-position": "^5.0.0",
+        "unist-util-visit": "^5.0.0",
+        "vfile": "^6.0.0",
+        "web-namespaces": "^2.0.0",
+        "zwitch": "^2.0.0"
+      },
+      "funding": {
+        "type": "opencollective",
+        "url": "https://opencollective.com/unified"
+      }
+    },
     "node_modules/hast-util-to-jsx-runtime": {
       "version": "2.3.6",
       "resolved": "https://registry.npmjs.org/hast-util-to-jsx-runtime/-/hast-util-to-jsx-runtime-2.3.6.tgz",
@@ -4700,6 +4726,25 @@
         "url": "https://opencollective.com/unified"
       }
     },
+    "node_modules/hast-util-to-parse5": {
+      "version": "8.0.1",
+      "resolved": "https://registry.npmjs.org/hast-util-to-parse5/-/hast-util-to-parse5-8.0.1.tgz",
+      "integrity": "sha512-MlWT6Pjt4CG9lFCjiz4BH7l9wmrMkfkJYCxFwKQic8+RTZgWPuWxwAfjJElsXkex7DJjfSJsQIt931ilUgmwdA==",
+      "license": "MIT",
+      "dependencies": {
+        "@types/hast": "^3.0.0",
+        "comma-separated-tokens": "^2.0.0",
+        "devlop": "^1.0.0",
+        "property-information": "^7.0.0",
+        "space-separated-tokens": "^2.0.0",
+        "web-namespaces": "^2.0.0",
+        "zwitch": "^2.0.0"
+      },
+      "funding": {
+        "type": "opencollective",
+        "url": "https://opencollective.com/unified"
+      }
+    },
     "node_modules/hast-util-to-text": {
       "version": "4.0.2",
       "resolved": "https://registry.npmjs.org/hast-util-to-text/-/hast-util-to-text-4.0.2.tgz",
@@ -4779,6 +4824,16 @@
         "url": "https://opencollective.com/unified"
       }
     },
+    "node_modules/html-void-elements": {
+      "version": "3.0.0",
+      "resolved": "https://registry.npmjs.org/html-void-elements/-/html-void-elements-3.0.0.tgz",
+      "integrity": "sha512-bEqo66MRXsUGxWHV5IP0PUiAWwoEjba4VCzg0LjFJBpchPaTfyfCKTG6bc5F8ucKec3q5y6qOdGyYTSBEvhCrg==",
+      "license": "MIT",
+      "funding": {
+        "type": "github",
+        "url": "https://github.com/sponsors/wooorm"
+      }
+    },
     "node_modules/idb-keyval": {
       "version": "6.2.6",
       "resolved": "https://registry.npmjs.org/idb-keyval/-/idb-keyval-6.2.6.tgz",
@@ -7409,6 +7464,21 @@
         "katex": "cli.js"
       }
     },
+    "node_modules/rehype-raw": {
+      "version": "7.0.0",
+      "resolved": "https://registry.npmjs.org/rehype-raw/-/rehype-raw-7.0.0.tgz",
+      "integrity": "sha512-/aE8hCfKlQeA8LmyeyQvQF3eBiLRGNlfBJEvWH7ivp9sBqs7TNqBL5X3v157rM4IFETqDnIOO+z5M/biZbo9Ww==",
+      "license": "MIT",
+      "dependencies": {
+        "@types/hast": "^3.0.0",
+        "hast-util-raw": "^9.0.0",
+        "vfile": "^6.0.0"
+      },
+      "funding": {
+        "type": "opencollective",
+        "url": "https://opencollective.com/unified"
+      }
+    },
     "node_modules/remark-math": {
       "version": "6.0.0",
       "resolved": "https://registry.npmjs.org/remark-math/-/remark-math-6.0.0.tgz",
diff --git a/package.json b/package.json
index 87ede3f..743bf3b 100644
--- a/package.json
+++ b/package.json
@@ -25,6 +25,7 @@
     "react-markdown": "^10.1.0",
     "recharts": "^3.9.2",
     "rehype-katex": "^7.0.1",
+    "rehype-raw": "^7.0.0",
     "remark-math": "^6.0.0",
     "tailwind-merge": "^3.6.0",
     "zustand": "^5.0.14"
diff --git a/parse.js b/parse.js
new file mode 100644
index 0000000..3641264
--- /dev/null
+++ b/parse.js
@@ -0,0 +1,9 @@
+
+import { unified } from "unified";
+import remarkParse from "remark-parse";
+import remarkMath from "remark-math";
+
+const text = "C) $2 \\text{ m}$";
+const tree = unified().use(remarkParse).use(remarkMath).parse(text);
+console.log(JSON.stringify(tree, null, 2));
+
diff --git a/parse2.js b/parse2.js
new file mode 100644
index 0000000..b568680
--- /dev/null
+++ b/parse2.js
@@ -0,0 +1,18 @@
+
+import { unified } from "unified";
+import remarkParse from "remark-parse";
+import remarkMath from "remark-math";
+import rehypeKatex from "rehype-katex";
+import remarkRehype from "remark-rehype";
+import rehypeStringify from "rehype-stringify";
+
+const text = "The velocity of a particle moving along the x-axis is given by $v(t) = \\int_{0}^{t} (3\\tau^2 - 2\\tau) d\\tau$. What is the displacement of the particle at $t = 2$ seconds if it starts from the origin?";
+const tree = unified()
+  .use(remarkParse)
+  .use(remarkMath)
+  .use(remarkRehype)
+  .use(rehypeKatex, { strict: "warn", throwOnError: false })
+  .use(rehypeStringify)
+  .processSync(text);
+console.log(tree.toString());
+
diff --git a/prd_dump.txt b/prd_dump.txt
new file mode 100644
index 0000000000000000000000000000000000000000..65da02da56fbb3a606f68eada7056c9cb2d721bc
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+PragatiVeer
+Product Requirements Document
+India's first AI-powered daily practice platform for JEE & NEET
+Version: 1.0
+Date: 1 July 2026
+Author: Maya ΓÇö CEO's Office, Gyannetra Pvt Ltd
+Approved by: Kapil Panwar (CEO)
+Status: ✅ Final 
+CONFIDENTIAL ΓÇö GYANNETRA PROPRIETARY
+Gyannetra Pvt Ltd ΓÇó Pune, India
+PragatiVeer ΓÇö Product Requirements
+Document (PRD)
+Version: 1.0
+Date: 1 July 2026
+Author: Maya ΓÇö CEO's Office, Gyannetra Pvt Ltd
+Status: Final (Approved by Kapil Panwar, CEO)
+Table of Contents
+Product Overview
+Target Audience & Personas
+Tier Structure & Pricing
+Feature Catalog ΓÇö Free Tier
+Feature Catalog ΓÇö Pro Plan
+Feature Catalog ΓÇö AI Coach Plan
+Cross-Cutting Features
+User Stories ΓÇö Complete Collection
+User Flows
+Technical Requirements
+Data Model (Key Entities)
+1. Product Overview
+1.1 Vision Statement
+PragatiVeer is India's first AI-powered daily practice platform for JEE & NEET aspirants. It combines
+daily practice sheets, computer-based test series, and an AI coach that personalizes every student's
+learning journey ΓÇö all through a web-based portal accessible on any device.
+1.2 Product Mission
+To make high-quality, personalized JEE/NEET preparation accessible and affordable for every Indian
+student ΓÇö especially in Tier 2/3 cities where quality coaching is out of reach.
+1. 
+2. 
+3. 
+4. 
+5. 
+6. 
+7. 
+8. 
+9. 
+10. 
+11. 
+PragatiVeer ΓÇö Product Requirements Document
+Page 2 of 27
+1.3 Key Differentiators
+Differentiator
+Description
+Daily Practice Loop
+DPS every day builds discipline, not cramming
+AI Personalization
+Tracks every DPS, every test, every mistake ΓÇö adapts to the student
+Exam-Realistic Testing
+Computer-based tests exactly like JEE Main/Advanced pattern
+Affordable Pricing
+₹299/mo for Pro vs ₹5K-15K for Physics Wallah
+Parent Dashboard
+Real-time progress visibility for parents (the actual buyers)
+1.4 Platform
+Web-based only (no mobile app)
+Fully responsive ΓÇö works seamlessly on mobile browsers, tablets, and desktops
+PWA (Progressive Web App) capabilities for offline access and home-screen install
+1.5 Scope ΓÇö Exams Covered (Phase 1)
+JEE Main (Paper 1: B.E./B.Tech)
+JEE Advanced
+NEET UG
+2. Target Audience & Personas
+2.1 Primary Persona: Rohan (Student, Class 12)
+Attribute
+Detail
+Age
+17
+Location
+Tier 2 city (Jaipur)
+Goal
+JEE Main + Advanced 2027
+Medium
+Hindi medium school, studies in English + Hindi mix
+Device
+Android phone (primary), shared family laptop (occasional)
+Internet
+4G, sometimes unstable
+Pain Points
+Coaching is expensive (₹50K+/yr), no daily practice structure, doesn't know where he stands
+Behavior
+Uses Telegram for study groups, watches PW videos on YouTube, solves PYQs from books
+ΓÇó 
+ΓÇó 
+ΓÇó 
+ΓÇó 
+ΓÇó 
+ΓÇó 
+PragatiVeer ΓÇö Product Requirements Document
+Page 3 of 27
+2.2 Secondary Persona: Mrs. Sharma (Parent)
+Attribute
+Detail
+Age
+45
+Role
+Mother of a Class 12 JEE aspirant
+Location
+Delhi NCR
+Device
+Smartphone (WhatsApp, basic browsing)
+Pain Points
+Worried about child's preparation, doesn't know if child is on track, coaching is too expensive
+Decision Trigger
+Seeing concrete progress data ΓÇö "Mera bachcha kitna padh raha hai?"
+2.3 Tertiary Persona: Mr. Verma (School Principal)
+Attribute
+Detail
+Role
+Principal, CBSE-affiliated school in Indore
+Need
+Affordable practice platform for 500+ students
+Decision Factor
+Bulk pricing, white-label option, school performance dashboard
+3. Tier Structure & Pricing
+3.1 Pricing (Final ΓÇö Neha Gupta's Model)
+Tier
+Monthly
+Quarterly
+Annual
+Per Month (Annual)
+Free
+₹0
+ΓÇö
+₹0
+₹0
+Pro
+₹299
+₹749 (₹250/mo)
+₹2,499 (₹208/mo)
+₹208
+AI Coach
+₹599
+₹1,499 (₹500/mo)
+₹4,999 (₹417/mo)
+₹417
+3.2 Launch Offers
+Pro Launch: First month at ₹99 (vs ₹299 regular)
+Annual AI Coach: 30% off + 2 months free
+Referral: Invite a friend → both get 7 days of AI Coach free
+School Bulk: ₹499/student/yr for 100+ students
+Sibling Discount: 20% off on second child
+ΓÇó 
+ΓÇó 
+ΓÇó 
+ΓÇó 
+ΓÇó 
+PragatiVeer ΓÇö Product Requirements Document
+Page 4 of 27
+3.3 Tier Comparison Matrix
+Feature
+Free
+Pro
+AI Coach
+Daily Practice Sheets (1/day)
+✅
+✅ Unlimited
+✅ Unlimited
+Answer Keys
+✅
+✅
+✅
+Basic Progress Dashboard
+✅
+✅
+✅
+Streak Tracking
+✅
+✅
+✅
+Leaderboard (City/School)
+✅
+✅
+✅
+Topic-wise Micro-tests
+✅ (5/day)
+✅ (Unlimited)
+✅ (Unlimited)
+Weekly Test Series
+❌
+✅
+✅
+Full-Length Mock Tests
+❌
+✅ (4/month)
+✅ (Unlimited)
+Previous Year Papers
+❌
+✅
+✅
+Detailed Performance Analytics
+❌
+✅
+✅
+Chapter-wise Progress
+❌
+✅
+✅
+Doubt Resolution (Community)
+❌
+✅
+✅
+Parent Dashboard
+❌
+✅
+✅
+AI Mistake Tracking
+❌
+❌
+✅
+Spaced Repetition
+❌
+❌
+✅
+Personalized Daily Study Plan
+❌
+❌
+✅
+AI Tutor Chat
+❌
+❌
+✅
+Exam Readiness Score
+❌
+❌
+✅
+Exam Day Strategy
+❌
+❌
+✅
+College Predictor
+❌
+❌
+✅
+Study Time Optimization
+❌
+❌
+✅
+Offline Mode (Download DPS)
+❌
+✅
+✅
+Print-Friendly PDF Export
+❌
+✅
+✅
+4. Feature Catalog ΓÇö Free Tier
+F-01: User Registration & Login
+Description: Self-service registration with email/phone + OTP. Google login optional.  Priority: P0
+(Launch-blocking)
+PragatiVeer ΓÇö Product Requirements Document
+Page 5 of 27
+Requirements: - Register with email OR phone number - OTP-based verification - Google OAuth login
+- Password-based login (email + password) - Forgot password flow (email/OTP reset) - Session
+management (stay logged in for 30 days) - Single session per user (logout from other devices option)
+F-02: Student Profile
+Description: Basic profile capturing student's exam target, class, and medium. Priority: P0
+Requirements: - Name, email, phone - Class (11, 12, Dropper) - Target exam (JEE Main, JEE
+Advanced, NEET) - Medium (English, Hindi, Bilingual) - School name (optional) - City/State - Avatar/
+photo upload - Profile completion progress bar
+F-03: Daily Practice Sheet (DPS)
+Description: One DPS per day with 10-15 questions covering mixed topics. Priority: P0 (Core feature)
+Requirements: - 10-15 questions per DPS (mix of Physics, Chemistry, Maths/Biology) - Questions
+displayed one at a time with navigation - Multiple choice (single correct, multiple correct) - Numerical
+answer type - Timer per DPS (configurable, default 20 min) - Submit and get instant answer key - Mark
+questions for review - Question palette (answered, not answered, marked for review) - Auto-submit on
+timer expiry - DPS resets daily at 6:00 AM IST - Cannot attempt previous day's DPS (creates urgency)
+F-04: Answer Key & Basic Solutions
+Description: Instant answer key after DPS submission with correct answers. Priority: P0
+Requirements: - Show correct answer for each question immediately after submission - Highlight
+user's answer vs correct answer - Show score (X/15) - Show time taken per question - Basic solution
+text (not video) - Option to flag confusing questions
+F-05: Basic Performance Dashboard
+Description: Simple dashboard showing daily and weekly performance. Priority: P0
+Requirements: - Today's DPS score - 7-day accuracy trend (line chart) - Total questions attempted
+(lifetime) - Overall accuracy percentage - Streak count (consecutive days) - "You're on a X-day streak!"
+message
+F-06: Streak Tracking
+Description: Track consecutive days of DPS completion. Priority: P0
+Requirements: - Calendar view showing which days DPS was completed - Current streak count -
+Longest streak record - Streak milestones (7 days, 30 days, 60 days, 100 days) - Streak milestone
+badges - Daily reminder notification (browser/email)
+F-07: Leaderboard
+Description: Gamified ranking among peers. Priority: P1
+PragatiVeer ΓÇö Product Requirements Document
+Page 6 of 27
+Requirements: -  City-wise  leaderboard  -  School-wise  leaderboard  (if  school  provided)  -  All-India
+leaderboard - Based on: accuracy × consistency (streak bonus) - Weekly reset - Top 10 visible, user
+sees their own rank - Anonymous display (usernames only)
+F-08: Topic-wise Micro-tests
+Description: Short 5-question tests on specific topics. Priority: P1
+Requirements: - 5 questions per micro-test - Choose topic from syllabus tree (e.g., Physics →
+Electrostatics → Coulomb's Law) - 5-minute timer - Instant results with topic-wise accuracy - Unlimited
+attempts (Free: 5 micro-tests/day) - Recommended topics based on DPS performance
+5. Feature Catalog ΓÇö Pro Plan
+P-01: Unlimited DPS
+Description: Access to all DPS without daily limit. Multiple DPS per day. Priority: P0
+Requirements: - All Free tier DPS features - Unlimited DPS per day - Access to DPS archive (previous
+days) - DPS difficulty levels (Easy, Medium, Hard) - Custom DPS: student picks subjects and topics -
+DPS bookmarking for later
+P-02: Weekly Test Series
+Description: Full-length computer-based tests every week, increasing frequency near exams. Priority:
+P0 (Core Pro feature)
+Requirements: - One full-length test per week (standard frequency) - Increases to 2/week in last 3
+months before exam - Daily tests in last month before exam - Exact JEE Main/Advanced/NEET pattern
+- Computer-based test interface (CBT) - Sectional timing (as per actual exam) - Question palette with
+color coding - Mark for review - Change answer within section - Calculator (on-screen, basic) - Periodic
+table reference (for Chemistry) - Scratchpad (digital notepad) - Auto-submit on section timer expiry -
+Submit entire test manually - Instant score report
+P-03: Full-Length Mock Tests (4/month)
+Description: Additional full-length mocks beyond the weekly series. Priority: P1
+Requirements: - 4 full-length mocks per month (in addition to weekly series) - Can be taken anytime -
+Same interface as weekly tests - Different difficulty levels - Previous year paper simulations
+P-04: Previous Year Paper Bank
+Description: Complete archive of JEE Main, JEE Advanced, and NEET previous year papers. Priority:
+P0
+PragatiVeer ΓÇö Product Requirements Document
+Page 7 of 27
+Requirements: - JEE Main: 2020-2026 papers - JEE Advanced: 2020-2025 papers - NEET UG:
+2020-2025 papers - Attempt in test mode (timed) or practice mode (untimed) - Topic-wise filtering of
+PYQs - Difficulty tagging per question - Solution links for each question - Track which PYQs have been
+attempted
+P-05: Detailed Performance Analytics
+Description: Comprehensive analytics dashboard with heatmaps, trends, and insights. Priority: P0
+Requirements: -  Topic  Heatmap: Subject  ×  Topic  grid  showing  accuracy  (green/yellow/red)  -
+Accuracy Trend: Line chart over time (daily, weekly, monthly) - Speed Analysis: Average time per
+question vs benchmark - Strength/Weakness Report: Auto-generated list of strong and weak topics -
+Percentile Rank: Among all Pro users - Score Distribution: Histogram of test scores - Improvement
+Rate: Week-over-week accuracy change - Subject-wise Breakdown: Physics %, Chemistry %, Maths/
+Biology  %  -  Question  Type  Analysis: Performance  by  question  type  (MCQ,  numerical,  multiple
+correct) - Export analytics as PDF
+P-06: Chapter-wise Progress Tracking
+Description: Track syllabus coverage and mastery per chapter. Priority: P1
+Requirements: - Complete syllabus tree for JEE/NEET - Per-chapter: questions attempted, accuracy,
+time spent - Chapter status: Not Started, In Progress, Practiced, Mastered - Syllabus completion
+percentage - Estimated time to complete remaining syllabus - Recommended next chapters based on
+dependency graph
+P-07: Parent Dashboard
+Description: Simplified dashboard for parents to monitor their child's progress.  Priority: P0 (Sales-
+critical)
+Requirements: - Separate login for parents (linked to student account) - Weekly progress summary
+(auto-generated) - Daily time spent on platform - Accuracy trend (last 7/30 days) - Tests taken this
+week/month  -  Rank  improvement  trend  -  "Areas  of  Concern"  ΓÇö  topics  where  child  is  weak  -
+Comparison with peers (anonymous) - WhatsApp/Email weekly report (automated) - Multiple children
+support (add multiple students) - Simple, non-technical UI (Hindi + English)
+P-08: Doubt Resolution (Community)
+Description: Text-based doubt solving with community + moderator support. Priority: P1
+Requirements: - Post a doubt (text + screenshot/image) - Tag by subject and topic - Community
+answers (upvote/downvote) - Moderator-verified answers highlighted - 24-hour SLA for moderator
+response - Searchable doubt archive - "My Doubts" history - Notification when doubt is answered
+P-09: Print-Friendly DPS Export
+Description: Download DPS as PDF for offline solving. Priority: P1
+PragatiVeer ΓÇö Product Requirements Document
+Page 8 of 27
+Requirements: - PDF export of any DPS - Print-optimized layout - Answer key on separate page -
+Watermark with student name (prevents sharing) - Batch download (multiple DPS)
+6. Feature Catalog ΓÇö AI Coach Plan
+A-01: AI Mistake Tracking & Analysis
+Description: AI tracks every mistake across all DPS, tests, and micro-tests ΓÇö builds a permanent error
+profile. Priority: P0 (Core AI feature)
+Requirements: - Every wrong answer logged with: question, topic, subtopic, error type - Error type
+classification: conceptual error, calculation error, reading error, time pressure error - Mistake frequency
+per topic - Recurring mistake patterns ("You keep making sign errors in Thermodynamics") - Mistake
+history (searchable, filterable) - "Your Most Common Mistakes" weekly report - Mistake count vs peers
+benchmark
+A-02: Spaced Repetition System
+Description: Wrong answers are queued for re-attempt at optimal intervals using spaced repetition
+algorithm. Priority: P0
+Requirements: - Every wrong question enters spaced repetition queue - Re-attempt schedule: Day 1,
+Day 3, Day 7, Day 14, Day 30 - If answered correctly on re-attempt → interval increases - If answered
+wrong again → resets to Day 1 - Daily "Mistake Review" session (5-10 questions from queue) -
+Progress tracking per mistake (attempt 1/5, attempt 2/5, etc.) - Mastered mistakes removed from queue
+after 3 consecutive correct attempts - SM-2 algorithm (SuperMemo) adapted for exam prep
+A-03: Personalized Daily Study Plan
+Description: AI generates a customized daily study plan based on weak areas, upcoming exams, and
+past performance. Priority: P0
+Requirements: - Generated every morning at 5:00 AM IST - Plan includes: DPS to attempt, topics to
+revise, mistake review session, micro-test recommendations - Time-budgeted: "Today: 45 min ΓÇö
+Revise Thermodynamics (15 min) + DPS Electrostatics (20 min) + Mistake Review (10 min)" - Adaptive:
+adjusts based on what was actually completed yesterday - Student can mark tasks as done/skipped -
+Weekly study plan (Sunday generates plan for the week) - Plan difficulty calibrated to student's level -
+"Cram Mode" activated near exams (more tests, less new learning)
+A-04: AI Tutor Chat
+Description: Text-based AI tutor that answers questions, explains concepts, and guides problem-
+solving. Priority: P1
+Requirements: -  Ask  any  doubt  in  natural  language  (text  only)  -  AI  responds  with  step-by-step
+explanation - Can ask follow-up questions - Can request similar practice questions - Can ask "Why is
+option C wrong?" for specific questions - Context-aware: AI knows student's weak areas and adapts
+PragatiVeer ΓÇö Product Requirements Document
+Page 9 of 27
+explanations - Daily chat limit: 50 messages (to manage inference costs) - Chat history saved and
+searchable - Hindi + English bilingual support - Moderation filter for inappropriate content
+A-05: Exam Readiness Score
+Description: A single 0-100 score predicting exam readiness based on multiple factors. Priority: P0
+Requirements: - Score calculated from: accuracy (40%), speed (20%), syllabus coverage (20%),
+consistency (10%), mistake recovery (10%) - Daily update - Trend line (score over time) - Component
+breakdown (which factor is pulling score down) - Peer comparison ("Your readiness score is higher than
+65% of users") - Milestone celebrations (Score > 70: "You're on track for NIT!", Score > 85: "IIT within
+reach!") - Actionable recommendations to improve score
+A-06: Exam Day Strategy
+Description: AI generates personalized exam-day strategy based on mock test performance. Priority:
+P1
+Requirements: - Based on analysis of all mock tests - Recommendations include: - Optimal section
+order ("Start with Physics ΓÇö your strongest section") - Time allocation per section - Question selection
+strategy  ("Attempt  numerical  questions  first  in  Chemistry")  -  Guessing  strategy  (when  to  skip  vs
+educated guess) - Pace recommendations ("You tend to slow down in the last 15 minutes ΓÇö practice
+timed sprints") - Updated after every mock test - Printable one-page strategy card
+A-07: College Predictor
+Description: Predicts likely colleges based on current performance trajectory. Priority: P1
+Requirements: - Based on mock test scores + historical JEE cutoff data - Predicts: IITs, NITs, IIITs,
+GFTIs - "Reach" (ambitious), "Target" (realistic), "Safety" (likely) categories - Branch-wise prediction -
+Updated after every mock test - Historical cutoff data for last 3 years - "You need X more marks to
+reach IIT Delhi Computer Science" - Motivational: "At your current trajectory, you're on track for NIT
+Surat"
+A-08: Study Time Optimization
+Description: AI analyzes when and how the student studies best and suggests schedule adjustments.
+Priority: P2
+Requirements: - Track time-of-day performance (accuracy by hour) - Identify peak productivity hours -
+Suggest  optimal  study  schedule  -  Track  session  length  vs  focus  (longer  sessions  =  diminishing
+returns?) - Recommend break intervals - "You perform best between 7-9 PM. Schedule your most
+difficult topics then."
+PragatiVeer ΓÇö Product Requirements Document
+Page 10 of 27
+7. Cross-Cutting Features
+C-01: Responsive Web Design
+Description: Full responsive design working on mobile browsers, tablets, and desktops. Priority: P0
+Requirements: - Mobile-first responsive design - Touch-optimized test interface (tap to select, swipe to
+navigate) - Desktop keyboard shortcuts (N for next, P for previous, M for mark review) - Test interface
+works in landscape and portrait - Minimum supported screen: 320px width - PWA manifest for "Add to
+Home Screen" - Service worker for offline DPS access
+C-02: Multi-Language Support
+Description: Interface and content in Hindi, English, and bilingual mode. Priority: P1
+Requirements: - Full UI in English and Hindi - Bilingual mode (questions in English, UI in Hindi) -
+Toggle between languages without page reload - All DPS questions available in both languages - AI
+Coach responses in selected language - Parent dashboard in Hindi + English - Regional language
+roadmap (Marathi, Gujarati, Bengali, Telugu ΓÇö Phase 2)
+C-03: Dark Mode
+Description: Dark theme for late-night study sessions. Priority: P2
+Requirements: - Toggle between light and dark mode - System preference detection - All pages
+support both themes - Test interface in dark mode - Persist preference in user settings
+C-04: Notifications & Reminders
+Description: Browser and email notifications for DPS, tests, and milestones. Priority: P1
+Requirements: - Daily DPS reminder (browser notification, configurable time) - Test reminder (24 hours
+before, 1 hour before) - Streak at risk notification (if no DPS by 8 PM) - Milestone celebrations (streak
+achievements, score milestones) - Weekly progress summary (email, Sunday evening) - Parent weekly
+report (email/WhatsApp) - Notification preferences (which notifications, when, how)
+C-05: Referral System
+Description: Built-in referral program for organic growth. Priority: P1
+Requirements: - Unique referral link per user - Refer a friend → both get 7 days of AI Coach free -
+Referral dashboard (total referrals, rewards earned) - Share via WhatsApp, Telegram, email, copy link -
+Track referral signups and conversions - Leaderboard: top referrers
+C-06: Shareable Progress Cards
+Description: Auto-generated image cards showing progress that students can share on social media.
+Priority: P1
+PragatiVeer ΓÇö Product Requirements Document
+Page 11 of 27
+Requirements: - "I've solved 450 questions this month!" card - "X-day streak!" card - "Accuracy: 78%
+ΓÇö Top 15% of users" card - "Test Score: 180/300 ΓÇö Improved by 15 points" card - Branded with
+PragatiVeer logo - Download as PNG - Share directly to WhatsApp, Instagram, Telegram - Generated
+server-side (no client rendering)
+C-07: Payment System
+Description: Subscription management with UPI, cards, and netbanking. Priority: P0
+Requirements: - UPI (BHIM, Google Pay, PhonePe, Paytm) - Credit/Debit cards - Netbanking -
+Razorpay/Stripe integration - Monthly, quarterly, and annual billing - Auto-renewal with 7-day grace
+period - Invoice generation - Coupon code support - Free trial management (7-day Pro trial) - Upgrade/
+downgrade between tiers - Pause subscription (for exam breaks) - Refund policy (30-day money-back
+guarantee)
+C-08: Admin Dashboard
+Description: Internal dashboard for Gyannetra team to manage content, users, and analytics. Priority:
+P1
+Requirements: - User management (view, suspend, delete) - Content management (upload questions,
+create DPS, schedule tests) - Analytics dashboard (DAU, MAU, conversion rates, revenue) - DPS
+scheduling calendar - Test creation and scheduling - Question bank management (add, edit, tag,
+review) - Coupon code management - Refund processing - Support ticket management - System health
+monitoring
+PragatiVeer ΓÇö Product Requirements Document
+Page 12 of 27
+8. User Stories ΓÇö Complete Collection
+8.1 Registration & Onboarding
+ID
+User Story
+Priority
+Tier
+US-001
+As a new student, I want to register with my email or phone number so that I can
+create my account quickly.
+P0
+All
+US-002
+As a new student, I want to verify my email/phone with OTP so that my account is
+secure.
+P0
+All
+US-003
+As a returning student, I want to log in with my email and password so that I can
+access my dashboard.
+P0
+All
+US-004
+As a returning student, I want to log in with Google so that I don't have to
+remember another password.
+P0
+All
+US-005
+As a student, I want to reset my password via email/OTP so that I can recover my
+account if I forget it.
+P0
+All
+US-006
+As a new student, I want to set up my profile (class, target exam, medium) during
+onboarding so that the platform personalizes my experience.
+P0
+All
+US-007
+As a student, I want to see a welcome tour on my first login so that I understand
+how to use the platform.
+P1
+All
+PragatiVeer ΓÇö Product Requirements Document
+Page 13 of 27
+8.2 Daily Practice Sheet (DPS)
+ID
+User Story
+Priority
+Tier
+US-010
+As a Free student, I want to attempt one DPS per day so that I can practice daily.
+P0
+Free
+US-011
+As a Pro student, I want to attempt unlimited DPS per day so that I can practice as
+much as I need.
+P0
+Pro+
+US-012
+As a student, I want to see questions one at a time with navigation so that I can
+focus on each question.
+P0
+All
+US-013
+As a student, I want to see a timer during my DPS so that I can manage my time.
+P0
+All
+US-014
+As a student, I want to mark questions for review so that I can come back to them
+later.
+P0
+All
+US-015
+As a student, I want to see a question palette showing which questions I've
+answered, not answered, and marked for review.
+P0
+All
+US-016
+As a student, I want my DPS to auto-submit when the timer runs out so that I don't
+lose my answers.
+P0
+All
+US-017
+As a student, I want to see my score and correct answers immediately after
+submitting so that I can learn from my mistakes.
+P0
+All
+US-018
+As a Pro student, I want to access DPS from previous days so that I can catch up
+if I miss a day.
+P1
+Pro+
+US-019
+As a Pro student, I want to choose DPS difficulty level so that I can challenge
+myself appropriately.
+P1
+Pro+
+US-020
+As a Pro student, I want to create a custom DPS by selecting specific subjects and
+topics so that I can focus on my weak areas.
+P1
+Pro+
+PragatiVeer ΓÇö Product Requirements Document
+Page 14 of 27
+8.3 Test Series
+ID
+User Story
+Priority
+Tier
+US-030
+As a Pro student, I want to take a full-length weekly test that follows the exact JEE
+pattern so that I can practice exam conditions.
+P0
+Pro+
+US-031
+As a Pro student, I want the test frequency to increase as exams get closer so that
+I get more practice when it matters most.
+P0
+Pro+
+US-032
+As a student, I want the test interface to look exactly like the real computer-based
+exam so that I'm not surprised on exam day.
+P0
+Pro+
+US-033
+As a student, I want sectional timing (as per actual exam) so that I can practice
+time management per section.
+P0
+Pro+
+US-034
+As a student, I want an on-screen calculator and periodic table (where applicable)
+so that the test mirrors the real exam.
+P0
+Pro+
+US-035
+As a student, I want a digital scratchpad/notepad during the test so that I can do
+rough work.
+P1
+Pro+
+US-036
+As a Pro student, I want to take additional full-length mocks (4/month) beyond the
+weekly series so that I can practice more.
+P1
+Pro+
+US-037
+As a Pro student, I want to attempt previous year papers in test mode so that I can
+practice with real exam questions.
+P0
+Pro+
+US-038
+As a Pro student, I want to filter PYQs by topic so that I can practice specific
+areas.
+P1
+Pro+
+PragatiVeer ΓÇö Product Requirements Document
+Page 15 of 27
+8.4 Analytics & Progress
+ID
+User Story
+Priority
+Tier
+US-040
+As a Free student, I want to see my basic accuracy and streak on a simple
+dashboard so that I can track my progress.
+P0
+Free
+US-041
+As a Pro student, I want to see a topic-wise heatmap of my performance so that I
+know exactly where I'm weak.
+P0
+Pro+
+US-042
+As a Pro student, I want to see my accuracy trend over time so that I can see if I'm
+improving.
+P0
+Pro+
+US-043
+As a Pro student, I want to see my percentile rank among other users so that I
+know where I stand.
+P0
+Pro+
+US-044
+As a Pro student, I want to see my speed analysis (time per question vs
+benchmark) so that I can improve my pace.
+P1
+Pro+
+US-045
+As a Pro student, I want to see my performance broken down by question type so
+that I know which types I struggle with.
+P1
+Pro+
+US-046
+As a Pro student, I want to export my analytics as a PDF so that I can share it with
+my parents or mentor.
+P1
+Pro+
+US-047
+As a Pro student, I want to see my syllabus completion percentage per subject so
+that I know how much I've covered.
+P1
+Pro+
+PragatiVeer ΓÇö Product Requirements Document
+Page 16 of 27
+8.5 AI Coach
+ID
+User Story
+Priority
+Tier
+US-050
+As an AI Coach student, I want the AI to track every mistake I make across all
+DPS and tests so that I never forget my weak areas.
+P0
+AI
+Coach
+US-051
+As an AI Coach student, I want the AI to classify my mistakes (conceptual,
+calculation, etc.) so that I understand WHY I got it wrong.
+P0
+AI
+Coach
+US-052
+As an AI Coach student, I want wrong questions to reappear at optimal
+intervals (spaced repetition) so that I permanently learn from my mistakes.
+P0
+AI
+Coach
+US-053
+As an AI Coach student, I want a daily "Mistake Review" session with 5-10
+questions from my error queue so that I consistently revise my weak areas.
+P0
+AI
+Coach
+US-054
+As an AI Coach student, I want a personalized daily study plan generated every
+morning so that I know exactly what to study today.
+P0
+AI
+Coach
+US-055
+As an AI Coach student, I want the study plan to adapt based on what I actually
+completed yesterday so that it stays relevant.
+P0
+AI
+Coach
+US-056
+As an AI Coach student, I want to see my Exam Readiness Score (0-100) so
+that I know how prepared I am.
+P0
+AI
+Coach
+US-057
+As an AI Coach student, I want the readiness score to show component
+breakdown so that I know which factor is pulling me down.
+P0
+AI
+Coach
+US-058
+As an AI Coach student, I want to chat with the AI tutor to ask doubts and get
+explanations so that I can learn at my own pace.
+P1
+AI
+Coach
+US-059
+As an AI Coach student, I want the AI tutor to be context-aware (knows my
+weak areas) so that explanations are personalized.
+P1
+AI
+Coach
+US-060
+As an AI Coach student, I want a personalized exam day strategy based on my
+mock performance so that I can maximize my score.
+P1
+AI
+Coach
+US-061
+As an AI Coach student, I want a college predictor that shows which IITs/NITs I
+can target so that I stay motivated.
+P1
+AI
+Coach
+US-062
+As an AI Coach student, I want the AI to analyze my study patterns and
+suggest optimal study times so that I study when I'm most effective.
+P2
+AI
+Coach
+PragatiVeer ΓÇö Product Requirements Document
+Page 17 of 27
+8.6 Parent Dashboard
+ID
+User Story
+Priority
+Tier
+US-070
+As a parent, I want to create my own login linked to my child's account so that I
+can monitor progress without accessing their account.
+P0
+Pro+
+US-071
+As a parent, I want to see a simple weekly progress summary so that I know if my
+child is studying regularly.
+P0
+Pro+
+US-072
+As a parent, I want to see my child's accuracy trend so that I can see if they're
+improving.
+P0
+Pro+
+US-073
+As a parent, I want to see "Areas of Concern" ΓÇö topics where my child is weak so
+that I can arrange extra help.
+P0
+Pro+
+US-074
+As a parent, I want to receive a weekly WhatsApp/Email report automatically so
+that I don't have to log in to check.
+P0
+Pro+
+US-075
+As a parent, I want the dashboard to be in Hindi so that I can understand it easily.
+P1
+Pro+
+US-076
+As a parent with two children preparing for exams, I want to track both from a
+single parent account.
+P1
+Pro+
+8.7 Gamification & Engagement
+ID
+User Story
+Priority
+Tier
+US-080
+As a student, I want to see my daily streak so that I feel motivated to practice
+every day.
+P0
+All
+US-081
+As a student, I want to earn badges for milestones (7-day streak, 100 questions,
+etc.) so that I feel a sense of achievement.
+P1
+All
+US-082
+As a student, I want to see my rank on the city/school leaderboard so that I can
+compete with peers.
+P1
+All
+US-083
+As a student, I want to share my progress card on social media so that my friends
+can see my hard work.
+P1
+Pro+
+US-084
+As a student, I want to challenge a friend to beat my test score so that we can
+motivate each other.
+P2
+Pro+
+US-085
+As a student, I want to receive a notification when I'm about to lose my streak so
+that I don't break it.
+P1
+All
+PragatiVeer ΓÇö Product Requirements Document
+Page 18 of 27
+8.8 Payments & Subscription
+ID
+User Story
+Priority
+Tier
+US-090
+As a Free student, I want to upgrade to Pro with UPI so that I can start my
+subscription easily.
+P0
+Pro+
+US-091
+As a Pro student, I want to choose between monthly, quarterly, and annual billing
+so that I can pick what suits my budget.
+P0
+Pro+
+US-092
+As a student, I want a 7-day free trial of Pro so that I can try before I buy.
+P0
+Pro+
+US-093
+As a student, I want to apply a coupon code during checkout so that I can get a
+discount.
+P1
+Pro+
+US-094
+As a student, I want to receive an invoice for my payment so that I can show my
+parents.
+P1
+Pro+
+US-095
+As a student, I want to pause my subscription during exam breaks so that I don't
+waste paid days.
+P2
+Pro+
+US-096
+As a parent, I want a 30-day money-back guarantee so that I can purchase without
+risk.
+P1
+Pro+
+8.9 Referral & Growth
+ID
+User Story
+Priority
+Tier
+US-100
+As a student, I want to refer a friend using my unique link so that both of us get free
+AI Coach access.
+P1
+All
+US-101
+As a student, I want to see how many friends have signed up through my referral
+so that I can track my rewards.
+P1
+All
+US-102
+As a student, I want to share my referral link on WhatsApp and Telegram so that I
+can easily invite friends.
+P1
+All
+8.10 School/B2B
+ID
+User Story
+Priority
+Tier
+US-110
+As a school principal, I want to purchase bulk licenses for my students so that they
+all get Pro access at a discount.
+P1
+B2B
+US-111
+As a school principal, I want a school dashboard showing aggregate performance
+of all students so that I can identify weak batches.
+P1
+B2B
+US-112
+As a teacher, I want to assign DPS or tests to my entire class so that they practice
+together.
+P2
+B2B
+PragatiVeer ΓÇö Product Requirements Document
+Page 19 of 27
+9. User Flows
+9.1 New Student Onboarding Flow
+Landing Page → Sign Up (Email/Phone) → OTP Verification → 
+Profile Setup (Class, Exam, Medium) → Welcome Tour → 
+First DPS → See Results → Streak Started → 
+Upgrade Prompt (after 3 DPS completions)
+9.2 Daily Practice Flow
+Login → Dashboard → "Today's DPS" CTA →
+Attempt DPS (10-15 Qs, timed) → Submit →
+Instant Results (Score + Answer Key) →
+Review Mistakes → Check Leaderboard →
+Logout or Continue (Micro-test / Analytics)
+9.3 Weekly Test Flow
+Login → Dashboard → "Weekly Test Available" Notification →
+Enter Test Lobby (instructions, pattern info) →
+Start Test → Attempt Sections (timed per section) →
+Submit → Score Report → Detailed Analytics →
+Compare with Peers → AI Coach Analysis (if AI Coach tier)
+9.4 AI Coach Daily Flow
+Login → AI Coach Dashboard →
+1. View Today's Personalized Plan
+2. Complete Mistake Review Session (5-10 Qs)
+3. Attempt Recommended DPS/Micro-test
+4. Check Exam Readiness Score Update
+5. Chat with AI Tutor (if doubts)
+6. Mark Plan Tasks as Complete
+→ Plan Adapts for Tomorrow
+PragatiVeer ΓÇö Product Requirements Document
+Page 20 of 27
+9.5 Parent Flow
+Parent Login (linked to student) → 
+Dashboard: Weekly Summary, Accuracy Trend, 
+Areas of Concern, Time Spent → 
+Drill Down into Specific Topics → 
+Share Report with Family → 
+Receive Weekly WhatsApp Report (automated)
+9.6 Upgrade Flow (Free → Pro)
+Free User → CTA: "Unlock Unlimited Practice" → 
+Pricing Page (Free vs Pro vs AI Coach comparison) → 
+Select Pro Plan → Choose Billing (Monthly/Quarterly/Annual) → 
+Payment (UPI/Card/Netbanking) → 
+7-Day Free Trial Starts → 
+After Trial: Auto-charge or Downgrade
+10. Technical Requirements
+10.1 Platform
+Type: Web application only (no native mobile app)
+Responsive: Mobile-first responsive design (320px minimum)
+PWA: Progressive Web App with service worker for offline DPS access
+Browser Support: Chrome, Firefox, Safari, Edge (latest 2 versions)
+ΓÇó 
+ΓÇó 
+ΓÇó 
+ΓÇó 
+PragatiVeer ΓÇö Product Requirements Document
+Page 21 of 27
+10.2 Tech Stack (Recommended)
+Layer
+Technology
+Frontend
+Next.js (React) ΓÇö SSR for performance
+Backend
+FastAPI (Python) or Node.js
+Database
+PostgreSQL
+Cache
+Redis (session management, rate limiting)
+File Storage
+S3-compatible (MinIO or AWS S3)
+AI/ML
+LLM API (for AI Coach), custom spaced repetition engine
+Payments
+Razorpay
+Email
+SMTP (Hostinger)
+SMS/WhatsApp
+Twilio / WhatsApp Business API
+Deployment
+Docker on VPS (Gyannetra production server)
+10.3 Performance Requirements
+Page load time: < 2 seconds (desktop), < 3 seconds (mobile)
+Test interface: < 1 second question transition
+DPS submission results: < 2 seconds
+AI Coach response: < 5 seconds
+Concurrent users: Support 10,000 DAU in Phase 1
+Uptime: 99.5% (excluding scheduled maintenance)
+10.4 Security Requirements
+HTTPS everywhere
+OTP-based authentication (rate limited: 3 attempts/min)
+Password hashing (bcrypt)
+Session management (JWT with 30-day expiry)
+Rate limiting on all API endpoints
+XSS and CSRF protection
+SQL injection prevention (parameterized queries)
+Data encryption at rest (database encryption)
+GDPR/DPDP Act compliance for student data
+Parental consent for users under 18
+10.5 Offline Capability (PWA)
+Service worker caches DPS questions
+Students can download DPS when online
+Attempt DPS offline
+Sync results when back online
+ΓÇó 
+ΓÇó 
+ΓÇó 
+ΓÇó 
+ΓÇó 
+ΓÇó 
+ΓÇó 
+ΓÇó 
+ΓÇó 
+ΓÇó 
+ΓÇó 
+ΓÇó 
+ΓÇó 
+ΓÇó 
+ΓÇó 
+ΓÇó 
+ΓÇó 
+ΓÇó 
+ΓÇó 
+ΓÇó 
+PragatiVeer ΓÇö Product Requirements Document
+Page 22 of 27
+Cache previous day's DPS for review
+11. Data Model (Key Entities)
+11.1 User
+Field
+Type
+Notes
+id
+UUID
+Primary key
+email
+String
+Unique, nullable
+phone
+String
+Unique, nullable
+password_hash
+String
+bcrypt hashed
+name
+String
+class
+Enum
+11, 12, Dropper
+target_exam
+Enum
+JEE_Main, JEE_Advanced, NEET
+medium
+Enum
+English, Hindi, Bilingual
+school
+String
+Optional
+city
+String
+state
+String
+tier
+Enum
+Free, Pro, AI_Coach
+trial_end
+DateTime
+7-day trial expiry
+subscription_end
+DateTime
+streak_count
+Integer
+Current streak
+longest_streak
+Integer
+created_at
+DateTime
+last_active
+DateTime
+ΓÇó 
+PragatiVeer ΓÇö Product Requirements Document
+Page 23 of 27
+11.2 Parent
+Field
+Type
+Notes
+id
+UUID
+Primary key
+email
+String
+phone
+String
+password_hash
+String
+name
+String
+language
+Enum
+Hindi, English
+linked_students
+UUID[]
+Array of student user IDs
+created_at
+DateTime
+11.3 Question
+Field
+Type
+Notes
+id
+UUID
+Primary key
+subject
+Enum
+Physics, Chemistry, Maths, Biology
+topic
+String
+e.g., "Electrostatics"
+subtopic
+String
+e.g., "Coulomb's Law"
+difficulty
+Enum
+Easy, Medium, Hard
+type
+Enum
+MCQ_Single, MCQ_Multiple, Numerical
+question_text
+Text
+Supports LaTeX
+options
+JSON
+Array of options (for MCQ)
+correct_answer
+JSON
+Correct answer(s)
+solution_text
+Text
+Step-by-step solution
+language
+Enum
+English, Hindi
+year
+Integer
+For PYQs (nullable)
+exam
+Enum
+JEE_Main, JEE_Advanced, NEET
+tags
+String[]
+Custom tags
+is_active
+Boolean
+Soft delete
+created_by
+UUID
+Admin user ID
+verified_by
+UUID
+Content reviewer ID
+PragatiVeer ΓÇö Product Requirements Document
+Page 24 of 27
+11.4 DPS (Daily Practice Sheet)
+Field
+Type
+Notes
+id
+UUID
+Primary key
+date
+Date
+DPS date
+title
+String
+e.g., "DPS #127"
+questions
+UUID[]
+Array of question IDs
+difficulty
+Enum
+Easy, Medium, Hard, Mixed
+time_limit
+Integer
+Minutes
+is_active
+Boolean
+created_by
+UUID
+Admin user ID
+11.5 Test
+Field
+Type
+Notes
+id
+UUID
+Primary key
+title
+String
+type
+Enum
+Weekly, Mock, PYQ
+exam_pattern
+Enum
+JEE_Main, JEE_Advanced, NEET
+sections
+JSON
+Array of {name, questions[], time_limit}
+total_time
+Integer
+Minutes
+difficulty
+Enum
+scheduled_date
+DateTime
+For weekly tests
+is_active
+Boolean
+created_by
+UUID
+Admin user ID
+PragatiVeer ΓÇö Product Requirements Document
+Page 25 of 27
+11.6 Attempt (DPS or Test)
+Field
+Type
+Notes
+id
+UUID
+Primary key
+user_id
+UUID
+Foreign key
+source_type
+Enum
+DPS, Test, MicroTest
+source_id
+UUID
+DPS or Test ID
+started_at
+DateTime
+submitted_at
+DateTime
+time_taken
+Integer
+Seconds
+answers
+JSON
+Array of {question_id, selected_answer, is_correct, time_spent}
+score
+Integer
+Correct answers count
+total_questions
+Integer
+accuracy
+Float
+Percentage
+status
+Enum
+In_Progress, Submitted, Timed_Out
+11.7 Mistake (AI Coach)
+Field
+Type
+Notes
+id
+UUID
+Primary key
+user_id
+UUID
+Foreign key
+question_id
+UUID
+Foreign key
+attempt_id
+UUID
+Foreign key
+error_type
+Enum
+Conceptual, Calculation, Reading, Time_Pressure
+topic
+String
+subtopic
+String
+next_review
+DateTime
+Spaced repetition schedule
+review_count
+Integer
+Times re-attempted
+consecutive_correct
+Integer
+For mastery detection
+is_mastered
+Boolean
+created_at
+DateTime
+PragatiVeer ΓÇö Product Requirements Document
+Page 26 of 27
+11.8 StudyPlan (AI Coach)
+Field
+Type
+Notes
+id
+UUID
+Primary key
+user_id
+UUID
+Foreign key
+date
+Date
+Plan date
+tasks
+JSON
+Array of {type, description, duration_minutes, status}
+is_completed
+Boolean
+generated_at
+DateTime
+feedback
+Text
+Student's feedback on plan
+11.9 Subscription
+Field
+Type
+Notes
+id
+UUID
+Primary key
+user_id
+UUID
+Foreign key
+tier
+Enum
+Pro, AI_Coach
+billing_cycle
+Enum
+Monthly, Quarterly, Annual
+start_date
+DateTime
+end_date
+DateTime
+amount
+Integer
+Paise
+payment_id
+String
+Razorpay payment ID
+status
+Enum
+Active, Expired, Cancelled, Paused
+auto_renew
+Boolean
+coupon_code
+String
+Nullable
+End of PRD ΓÇö Prepared by Maya, CEO's Office, Gyannetra Pvt Ltd
+Approved by Kapil Panwar, CEO ΓÇö 1 July 2026
+PragatiVeer ΓÇö Product Requirements Document
+Page 27 of 27
+
diff --git a/src/app/cbt/[examId]/page.tsx b/src/app/cbt/[examId]/page.tsx
index 3f1cba8..8548849 100644
--- a/src/app/cbt/[examId]/page.tsx
+++ b/src/app/cbt/[examId]/page.tsx
@@ -3,13 +3,15 @@
 import { useEffect, useState, use, useRef } from "react"
 import { Button } from "@/components/ui/button"
 import { Badge } from "@/components/ui/badge"
-import { Clock, Flag, ChevronLeft, ChevronRight, Pause as PauseIcon, MoreVertical, Calculator as CalculatorIcon, FlaskConical, Edit3, XCircle, Play, Shield, AlertTriangle } from "lucide-react"
+import { Clock, Flag, ChevronLeft, ChevronRight, Pause as PauseIcon, MoreVertical, Calculator as CalculatorIcon, FlaskConical, Edit3, XCircle, Play, Shield, AlertTriangle, Moon, Sun } from "lucide-react"
 import Image from "next/image"
+import { useTheme } from "next-themes"
 import { useCBTStore, QuestionStatus } from "@/store/cbtStore"
 import { useExamTimer } from "@/hooks/useExamTimer"
 import ReactMarkdown from "react-markdown"
 import remarkMath from "remark-math"
 import rehypeKatex from "rehype-katex"
+import rehypeRaw from "rehype-raw"
 import "katex/dist/katex.min.css"
 import { Calculator } from "@/components/CBT/Calculator"
 import { Scratchpad } from "@/components/CBT/Scratchpad"
@@ -35,9 +37,9 @@ export default function CBTExamPage({ params }: { params: Promise<{ examId: stri
   const [showPeriodicTable, setShowPeriodicTable] = useState(false);
   const [isPaused, setIsPaused] = useState(false);
   const [showSubmitConfirm, setShowSubmitConfirm] = useState(false);
+  const { theme, setTheme } = useTheme();
   
   // Anti-cheat state
-  const [testStarted, setTestStarted] = useState(false);
   const [violationCount, setViolationCount] = useState(0);
   const [showWarning, setShowWarning] = useState(false);
   const hasShownWarning = useRef(false);
@@ -45,6 +47,7 @@ export default function CBTExamPage({ params }: { params: Promise<{ examId: stri
   
   const { 
     initExam, 
+    startExam,
     questions, 
     answers, 
     currentQuestionIndex, 
@@ -57,7 +60,8 @@ export default function CBTExamPage({ params }: { params: Promise<{ examId: stri
     getAttemptPayload,
     submitAttemptToServer,
     resetExamState,
-    status
+    status,
+    attemptId
   } = useCBTStore();
 
   const { formattedTime, isTimedOut } = useExamTimer();
@@ -109,14 +113,14 @@ export default function CBTExamPage({ params }: { params: Promise<{ examId: stri
 
   // Track time spent per question
   useEffect(() => {
-    if (testStarted) {
+    if (status === 'IN_PROGRESS') {
       setQuestionStartTime(Date.now());
     }
-  }, [currentQuestionIndex, testStarted]);
+  }, [currentQuestionIndex, status]);
 
   // Anti-Cheat: Tab switching listener
   useEffect(() => {
-    if (!testStarted || status === 'SUBMITTED' || status === 'TIMED_OUT') return;
+    if (status !== 'IN_PROGRESS') return;
 
     const handleVisibilityChange = () => {
       if (document.visibilityState === 'hidden') {
@@ -126,7 +130,7 @@ export default function CBTExamPage({ params }: { params: Promise<{ examId: stri
 
     document.addEventListener("visibilitychange", handleVisibilityChange);
     return () => document.removeEventListener("visibilitychange", handleVisibilityChange);
-  }, [testStarted, status]);
+  }, [status]);
 
   // Handle side-effects of violation count changing
   useEffect(() => {
@@ -155,7 +159,7 @@ export default function CBTExamPage({ params }: { params: Promise<{ examId: stri
     } catch (e) {
       console.warn("Fullscreen API failed", e);
     }
-    setTestStarted(true);
+    startExam();
   };
 
   const handleNext = () => {
@@ -199,7 +203,7 @@ export default function CBTExamPage({ params }: { params: Promise<{ examId: stri
 
   if (!mounted || questions.length === 0) return <div className="p-8">Loading Exam Engine...</div>;
 
-  if (!testStarted && status !== 'SUBMITTED' && status !== 'TIMED_OUT') {
+  if (status === 'NOT_STARTED') {
     return (
       <div className="h-screen flex flex-col items-center justify-center bg-background p-8 text-center animate-in fade-in duration-500">
         <div className="max-w-2xl bg-secondary/10 border border-border p-8 rounded-2xl shadow-2xl">
@@ -216,6 +220,17 @@ export default function CBTExamPage({ params }: { params: Promise<{ examId: stri
               <li>Ensure your internet connection is stable before starting.</li>
             </ul>
           </div>
+          
+          <div className="mb-8 p-4 bg-muted rounded-xl flex items-center justify-between">
+            <div>
+              <p className="font-semibold">Preferred Theme</p>
+              <p className="text-sm text-muted-foreground">Choose dark or light mode for the exam</p>
+            </div>
+            <Button variant="outline" size="icon" onClick={() => setTheme(theme === 'dark' ? 'light' : 'dark')}>
+              {theme === 'dark' ? <Sun className="h-5 w-5" /> : <Moon className="h-5 w-5" />}
+            </Button>
+          </div>
+
           <Button size="lg" className="w-full text-lg font-bold h-14 shadow-[0_0_20px_-5px_var(--color-primary)]" onClick={startTest}>
             I Understand, Start Test
           </Button>
@@ -231,6 +246,7 @@ export default function CBTExamPage({ params }: { params: Promise<{ examId: stri
     return (
       <ExamResult 
         payload={payload} 
+        attemptId={attemptId}
         onRetake={() => {
           resetExamState();
           window.location.reload();
@@ -346,7 +362,7 @@ export default function CBTExamPage({ params }: { params: Promise<{ examId: stri
               </div>
 
               <div className="prose prose-neutral dark:prose-invert max-w-none text-lg leading-relaxed text-foreground font-medium">
-                <ReactMarkdown remarkPlugins={[remarkMath]} rehypePlugins={[rehypeKatex]}>
+                <ReactMarkdown remarkPlugins={[remarkMath]} rehypePlugins={[rehypeKatex, rehypeRaw]}>
                   {currentQuestion.text_en}
                 </ReactMarkdown>
               </div>
@@ -377,7 +393,7 @@ export default function CBTExamPage({ params }: { params: Promise<{ examId: stri
                         {letter}
                       </div>
                       <span className={`text-base font-semibold flex-1 ${isSelected ? 'text-primary' : ''}`}>
-                        <ReactMarkdown remarkPlugins={[remarkMath]} rehypePlugins={[rehypeKatex]}>
+                        <ReactMarkdown remarkPlugins={[remarkMath]} rehypePlugins={[rehypeKatex, rehypeRaw]}>
                           {option}
                         </ReactMarkdown>
                       </span>
@@ -402,7 +418,7 @@ export default function CBTExamPage({ params }: { params: Promise<{ examId: stri
                 </div>
               </div>
               <div className="prose prose-neutral dark:prose-invert max-w-none text-lg leading-relaxed text-foreground font-medium">
-                <ReactMarkdown remarkPlugins={[remarkMath]} rehypePlugins={[rehypeKatex]}>
+                <ReactMarkdown remarkPlugins={[remarkMath]} rehypePlugins={[rehypeKatex, rehypeRaw]}>
                   {currentQuestion.text_hi}
                 </ReactMarkdown>
               </div>
@@ -433,7 +449,7 @@ export default function CBTExamPage({ params }: { params: Promise<{ examId: stri
                         {letter}
                       </div>
                       <span className={`text-base font-semibold flex-1 ${isSelected ? 'text-primary' : ''}`}>
-                        <ReactMarkdown remarkPlugins={[remarkMath]} rehypePlugins={[rehypeKatex]}>
+                        <ReactMarkdown remarkPlugins={[remarkMath]} rehypePlugins={[rehypeKatex, rehypeRaw]}>
                           {option}
                         </ReactMarkdown>
                       </span>
diff --git a/src/app/dashboard/cbt/page.tsx b/src/app/dashboard/cbt/page.tsx
index 31bc64e..eb1d4ae 100644
--- a/src/app/dashboard/cbt/page.tsx
+++ b/src/app/dashboard/cbt/page.tsx
@@ -132,7 +132,7 @@ export default function CBTPage() {
                       </Badge>
                       {exam.exam_pattern && (
                         <Badge variant="outline" className="bg-primary/20 text-primary border-primary/30 uppercase tracking-wider text-[10px]">
-                          {exam.exam_pattern}
+                          {exam.exam_pattern === 'JEE_Main' ? 'JEE Main' : exam.exam_pattern === 'JEE_Advanced' ? 'JEE Advanced' : exam.exam_pattern}
                         </Badge>
                       )}
                     </div>
@@ -218,7 +218,7 @@ export default function CBTPage() {
                     <div className="font-bold text-base md:text-lg text-[#00F0FF]">{Math.round(attempt.accuracy)}%</div>
                   </div>
                   <Link href={`/dashboard/cbt/history/${attempt.id}`}>
-                    <Button variant="outline" className="rounded-xl border-border hover:bg-secondary hover:text-foreground">
+                    <Button variant="outline" className="rounded-xl border-border hover:bg-primary hover:text-primary-foreground">
                       View Solutions
                     </Button>
                   </Link>
diff --git a/src/app/dashboard/community/page.tsx b/src/app/dashboard/community/page.tsx
index 2cc5b00..af01976 100644
--- a/src/app/dashboard/community/page.tsx
+++ b/src/app/dashboard/community/page.tsx
@@ -78,6 +78,26 @@ export default function CommunityPage() {
     return true
   })
 
+  if (!hasAccessTo("ask-doubts-from-tutors")) {
+    return (
+      <div className="p-8 h-full flex flex-col items-center justify-center text-center animate-in fade-in zoom-in duration-500 max-w-2xl mx-auto">
+        <div className="size-20 rounded-full bg-red-500/10 flex items-center justify-center mx-auto text-red-500 mb-6">
+          <Lock size={40} />
+        </div>
+        <h2 className="text-3xl font-bold mb-4">Premium Feature</h2>
+        <p className="text-muted-foreground text-lg mb-8">
+          The Doubt Forum is a premium feature. Upgrade your plan to ask doubts and interact with tutors and the community.
+        </p>
+        <button 
+          className="px-8 py-3 bg-primary text-primary-foreground font-bold rounded-xl shadow-[0_0_20px_-5px_var(--color-primary)] text-lg"
+          onClick={() => window.location.href = '/upgrade'}
+        >
+          Upgrade Plan
+        </button>
+      </div>
+    )
+  }
+
   return (
     <div className="p-8 space-y-6 animate-in fade-in slide-in-from-bottom-4 duration-500 max-w-5xl mx-auto">
       <div className="flex flex-col md:flex-row justify-between items-start md:items-end gap-4">
@@ -88,17 +108,9 @@ export default function CommunityPage() {
           </h1>
           <p className="text-muted-foreground mt-2 font-medium">Ask questions, share knowledge, and learn together with the community.</p>
         </div>
-        
-        {hasAccessTo("ask-doubts-from-tutors") ? (
-          <button className="px-5 py-2.5 bg-[#00F0FF] text-black font-bold rounded-xl shadow-[0_0_15px_-3px_rgba(0,240,255,0.4)] hover:bg-[#00d0dd] transition-colors">
-            Ask a Doubt
-          </button>
-        ) : (
-          <button disabled className="px-5 py-2.5 bg-secondary text-muted-foreground font-bold rounded-xl flex items-center gap-2 cursor-not-allowed">
-            <Lock size={16} />
-            Pro Feature
-          </button>
-        )}
+        <button className="px-5 py-2.5 bg-[#00F0FF] text-black font-bold rounded-xl shadow-[0_0_15px_-3px_rgba(0,240,255,0.4)] hover:bg-[#00d0dd] transition-colors">
+          Ask a Doubt
+        </button>
       </div>
 
       <div className="flex flex-col md:flex-row gap-4">
diff --git a/src/app/upgrade/page.tsx b/src/app/upgrade/page.tsx
index 05b59c3..9e18f94 100644
--- a/src/app/upgrade/page.tsx
+++ b/src/app/upgrade/page.tsx
@@ -3,7 +3,7 @@
 import { useState } from "react"
 import { Card, CardContent, CardHeader, CardTitle, CardDescription, CardFooter } from "@/components/ui/card"
 import { Button } from "@/components/ui/button"
-import { Check, X, ShieldCheck, Loader2 } from "lucide-react"
+import { Check, X, ShieldCheck, Loader2, Minus } from "lucide-react"
 
 import { useActiveUser } from "@/hooks/useActiveUser"
 
@@ -114,9 +114,9 @@ export default function UpgradePage() {
           <CardContent className="space-y-4 text-sm font-medium">
             <div className="flex items-center gap-3"><Check className="text-green-500" size={18}/> Subject-wise diagnostics</div>
             <div className="flex items-center gap-3"><Check className="text-green-500" size={18}/> Basic progress tracking</div>
-            <div className="flex items-center gap-3 text-muted-foreground opacity-50"><X size={18}/> Unlimited Tests</div>
-            <div className="flex items-center gap-3 text-muted-foreground opacity-50"><X size={18}/> AI Spaced Repetition</div>
-            <div className="flex items-center gap-3 text-muted-foreground opacity-50"><X size={18}/> Parent Analytics</div>
+            <div className="flex items-center gap-3 text-muted-foreground opacity-50"><Minus size={18}/> Tests</div>
+            <div className="flex items-center gap-3 text-muted-foreground opacity-50"><Minus size={18}/> AI Spaced Repetition</div>
+            <div className="flex items-center gap-3 text-muted-foreground opacity-50"><Minus size={18}/> Parent Analytics</div>
           </CardContent>
           <CardFooter>
             <Button variant="outline" className="w-full" disabled>Current Plan</Button>
@@ -136,8 +136,8 @@ export default function UpgradePage() {
             <div className="flex items-center gap-3"><Check className="text-green-500" size={18}/> Unlimited Sectional Tests</div>
             <div className="flex items-center gap-3"><Check className="text-green-500" size={18}/> Performance Analytics</div>
             <div className="flex items-center gap-3"><Check className="text-green-500" size={18}/> Parent Dashboard</div>
-            <div className="flex items-center gap-3 text-muted-foreground opacity-50"><X size={18}/> AI Mistake Heatmap</div>
-            <div className="flex items-center gap-3 text-muted-foreground opacity-50"><X size={18}/> Spaced Repetition (SM-2)</div>
+            <div className="flex items-center gap-3 text-muted-foreground opacity-50"><Minus size={18}/> AI Mistake Heatmap</div>
+            <div className="flex items-center gap-3 text-muted-foreground opacity-50"><Minus size={18}/> Spaced Repetition (SM-2)</div>
           </CardContent>
           <CardFooter>
             <Button 
diff --git a/src/components/CBT/ExamResult.tsx b/src/components/CBT/ExamResult.tsx
index e2eecd5..d257718 100644
--- a/src/components/CBT/ExamResult.tsx
+++ b/src/components/CBT/ExamResult.tsx
@@ -18,10 +18,11 @@ interface ExamAttemptPayload {
 
 interface ExamResultProps {
   payload: ExamAttemptPayload;
+  attemptId: string | null;
   onRetake: () => void;
 }
 
-export function ExamResult({ payload, onRetake }: ExamResultProps) {
+export function ExamResult({ payload, attemptId, onRetake }: ExamResultProps) {
   const router = useRouter();
   const answered = payload.answers.filter(a => a.selected_answer !== null).length;
   const unanswered = payload.total_questions - answered;
@@ -115,6 +116,25 @@ export function ExamResult({ payload, onRetake }: ExamResultProps) {
           <Button variant="outline" size="lg" className="rounded-xl h-14 px-8 font-bold text-lg gap-2" onClick={onRetake}>
             <RotateCcw className="size-5" /> Retake Mock Test
           </Button>
+          {attemptId && (
+            <Button 
+              variant="default"
+              size="lg"
+              className="rounded-xl h-14 px-8 font-bold text-lg bg-indigo-600 hover:bg-indigo-700 text-white gap-2 w-full sm:w-auto"
+              onClick={async () => {
+                try {
+                  if (document.fullscreenElement) {
+                    await document.exitFullscreen();
+                  }
+                } catch (err) {
+                  console.error("Error exiting fullscreen", err);
+                }
+                router.push(`/dashboard/cbt/history/${attemptId}`);
+              }}
+            >
+              View Solutions
+            </Button>
+          )}
           <Button 
             size="lg" 
             className="rounded-xl h-14 px-8 font-bold text-lg shadow-[0_0_20px_-5px_var(--color-primary)] gap-2 w-full sm:w-auto"
diff --git a/src/store/cbtStore.ts b/src/store/cbtStore.ts
index dc3c6cc..d8ee89e 100644
--- a/src/store/cbtStore.ts
+++ b/src/store/cbtStore.ts
@@ -47,7 +47,8 @@ export interface ExamAttemptPayload {
 
 interface CBTState {
   examId: string | null
-  status: 'IN_PROGRESS' | 'SUBMITTED' | 'TIMED_OUT'
+  attemptId: string | null
+  status: 'NOT_STARTED' | 'IN_PROGRESS' | 'SUBMITTED' | 'TIMED_OUT'
   startTime: number | null
   totalDuration: number // in seconds
   questions: any[]
@@ -56,6 +57,7 @@ interface CBTState {
   
   // Actions
   initExam: (examId: string, questions: any[], duration: number) => void
+  startExam: () => void
   selectAnswer: (questionId: string, answer: string) => void
   clearResponse: (questionId: string) => void
   markForReview: (questionId: string) => void
@@ -63,7 +65,7 @@ interface CBTState {
   submitExam: (reason?: 'SUBMITTED' | 'TIMED_OUT') => void
   addTimeSpent: (questionId: string, seconds: number) => void
   getAttemptPayload: (userId: string) => ExamAttemptPayload | null
-  submitAttemptToServer: (userId: string) => Promise<void>
+  submitAttemptToServer: (userId: string) => Promise<string | null>
   resetExamState: () => void
 }
 
@@ -71,7 +73,8 @@ export const useCBTStore = create<CBTState>()(
   persist(
     (set, get) => ({
       examId: null,
-      status: 'IN_PROGRESS',
+      attemptId: null,
+      status: 'NOT_STARTED',
       startTime: null,
       totalDuration: 0,
       questions: [],
@@ -98,8 +101,9 @@ export const useCBTStore = create<CBTState>()(
 
           set({
             examId,
-            status: 'IN_PROGRESS',
-            startTime: Date.now(), // Server-synced timestamp ideally
+            attemptId: null,
+            status: 'NOT_STARTED',
+            startTime: null,
             totalDuration: duration,
             questions,
             answers: initialAnswers,
@@ -111,6 +115,10 @@ export const useCBTStore = create<CBTState>()(
         }
       },
 
+      startExam: () => {
+        set({ status: 'IN_PROGRESS', startTime: Date.now() })
+      },
+
       selectAnswer: (questionId, answer) => set((state) => {
         const current = state.answers[questionId]
         if (!current) return state;
@@ -237,7 +245,7 @@ export const useCBTStore = create<CBTState>()(
 
       submitAttemptToServer: async (userId: string) => {
         const payload = get().getAttemptPayload(userId);
-        if (!payload) return;
+        if (!payload) return null;
 
         try {
           const res = await fetch(`/api/attempts/submit`, {
@@ -248,18 +256,24 @@ export const useCBTStore = create<CBTState>()(
           
           if (!res.ok) {
             console.error("Failed to submit attempt to server", await res.text());
+            return null;
           } else {
-            console.log("Successfully submitted attempt to server");
+            const data = await res.json();
+            console.log("Successfully submitted attempt to server", data.id);
+            set({ attemptId: data.id });
+            return data.id;
           }
         } catch (error) {
           console.error("Network error during submission:", error);
+          return null;
         }
       },
 
       resetExamState: () => {
         set({
           examId: null,
-          status: 'IN_PROGRESS',
+          attemptId: null,
+          status: 'NOT_STARTED',
           startTime: null,
           totalDuration: 0,
           questions: [],
diff --git a/test.js b/test.js
new file mode 100644
index 0000000..722b104
--- /dev/null
+++ b/test.js
@@ -0,0 +1,18 @@
+
+import("react-markdown").then(rm => {
+  import("remark-math").then(math => {
+    import("rehype-katex").then(katex => {
+      import("react-dom/server").then(rds => {
+        import("react").then(react => {
+          const el = react.createElement(rm.default, {
+            remarkPlugins: [math.default],
+            rehypePlugins: [katex.default],
+            children: "Testing math $$a=b$$ inline"
+          });
+          console.log(rds.renderToString(el));
+        });
+      });
+    });
+  });
+})
+
diff --git a/test2.js b/test2.js
new file mode 100644
index 0000000..89e5dee
--- /dev/null
+++ b/test2.js
@@ -0,0 +1,19 @@
+
+import("react-markdown").then(rm => {
+  import("remark-math").then(math => {
+    import("rehype-katex").then(katex => {
+      import("react-dom/server").then(rds => {
+        import("react").then(react => {
+          const text = "The velocity of a particle moving along the x-axis is given by $v(t) = \\int_{0}^{t} (3\\tau^2 - 2\\tau) d\\tau$. What is the displacement of the particle at $t = 2$ seconds if it starts from the origin?";
+          const el = react.createElement(rm.default, {
+            remarkPlugins: [math.default],
+            rehypePlugins: [katex.default],
+            children: text
+          });
+          console.log(rds.renderToString(el));
+        });
+      });
+    });
+  });
+})
+
diff --git a/test3.js b/test3.js
new file mode 100644
index 0000000..af27b56
--- /dev/null
+++ b/test3.js
@@ -0,0 +1,19 @@
+
+import("react-markdown").then(rm => {
+  import("remark-math").then(math => {
+    import("rehype-katex").then(katex => {
+      import("react-dom/server").then(rds => {
+        import("react").then(react => {
+          const text = "The velocity of a particle moving along the x-axis is given by $\\v(t) = \\int_{0}^{t} (3\\tau^2 - 2\\tau) d\\tau$. What is the displacement of the particle at $t = 2$ seconds if it starts from the origin?";
+          const el = react.createElement(rm.default, {
+            remarkPlugins: [math.default],
+            rehypePlugins: [katex.default],
+            children: text
+          });
+          console.log(rds.renderToString(el));
+        });
+      });
+    });
+  });
+})
+
diff --git a/test4.js b/test4.js
new file mode 100644
index 0000000..8226375
--- /dev/null
+++ b/test4.js
@@ -0,0 +1,20 @@
+
+import("react-markdown").then(rm => {
+  import("remark-math").then(math => {
+    import("rehype-katex").then(katex => {
+      import("react-dom/server").then(rds => {
+        import("react").then(react => {
+          // This simulates string with actual backslash (e.g. from JSON parse)
+          const text = "Testing math $\\v(t) = \\int$ and $$\\alpha$$";
+          const el = react.createElement(rm.default, {
+            remarkPlugins: [math.default],
+            rehypePlugins: [katex.default],
+            children: text
+          });
+          console.log(rds.renderToString(el));
+        });
+      });
+    });
+  });
+})
+