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Task 19
Given a natural number. You can add or subtract 3×(sum of its digits). It must remain natural.
a) Can 128 become 29? b) Can 128 become 31?
c) What is the smallest number obtainable from 128?
a)
128 - 3 · 11 = 95
95 - 3 · 14 = 53
53 - 3 · 8 = 29 ✓
Answer: Yes, it is possible.
b) & c)
29 + 3 · 11 = 62
62 - 3 · 8 = 38
38 - 3 · 11 = 5
5 + 15 = 20
20 + 3 · 2 = 26
26 - 3 · 8 = 2
Answer: 2
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By shifting from "Summative Assessment" (grading at the end) to "Continuous Formative Assessment" (weekly mockups with instant feedback), students correct mistakes before they become habits.
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Knowledge Forensics
Beyond a grade. We map every mistake to a specific knowledge node (e.g., "Weakness: Quadratic Formula").
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Nowadays, everybody offers OCR of basic text. However, we are the 1st to achieve close to perfect digitalization of highly complicated, multi-step hand-drawn diagrams, equations, and graphs.
Mathematics
Students directly solve on paper; our engine natively captures every stroke without special styluses.
Digital Reconstruction
Spatial relationships, limits, and complex matrices are seamlessly converted to semantic logic.
Chemistry
Freehand organic molecules, reaction mechanisms, and electron flows drawn naturally.
Molecular Mapping
Skeletal structures and stereochemistry parsed instantly into computable molecular graphs.
Physics
Free-body diagrams, vectors, and circuit schematics sketched on the fly by students.
Vector Analysis
Forces, angles, and systemic components automatically recognized and computationally verified.
Elevate Institutional Rankings & End Teacher Burnout.
Delayed feedback kills student momentum. Cortex evaluates complex mock exams in seconds, providing students with the instant, targeted corrections they need to master the curriculum.
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Lift the Bottom Quartile
Predictive analytics immediately flag at-risk students who are missing core concepts.
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Reclaim 400+ Faculty Hours
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Live DataIntervention Required
12 students consistently failed Q4 (Krebs Cycle). Remedial action suggested before final boards.
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Infinite Margin Scalability
Enroll 100 new students tomorrow without hiring a single new grader. Pay-per-exam models preserve your cash flow.
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Names & Identifiers are isolated here. Never exposed to the web.
Cortex Core
Pure pedagogical grading logic. Processes anonymous tokens, returns JSON.
Teacher Dashboard
Data is securely re-attached to student profiles on your internal network.
The Feedback Loop
1. Issue Mockup
Teacher deploys standardized test via dashboard to all students.
2. Omni-Submit
Students submit Photo, Text, or Audio securely via the app.
3. AI Grading
System instantly analyzes logic, syntax, and conceptual gaps.
4. Growth Plan
Student gets graded results plus a personalized study roadmap.
> Analyzing document syntax...
> Extracting handwriting nodes: SUCCESS
> Evaluating mathematical logic flow...
> Step 1: 2x + 4 = 12 [Valid Form]
> Step 2: 2x = 8 [Valid Deduction]
> Step 3: x = 4 [Correct Answer]
> Applying strict rubric parameters...
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