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Create app.py
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app.py
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| 1 |
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import gradio as gr
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| 2 |
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import torch
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import numpy as np
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import random
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import pandas as pd
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import matplotlib.pyplot as plt
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from transformers import AutoTokenizer, AutoModelForCausalLM
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import time
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# Load model and tokenizer
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| 11 |
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model_name = "/kaggle/input/nika-1.5b/transformers/default/1/nika-7b"
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| 12 |
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tokenizer = AutoTokenizer.from_pretrained(model_name)
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model = AutoModelForCausalLM.from_pretrained(model_name)
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# Sample problems database (you would expand this)
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sample_problems = {
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"algebra": [
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{
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"problem": "Find all positive integers n such that n^2 + 20 is divisible by n + 5.",
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"difficulty": "medium",
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"solution": "Let's denote n^2 + 20 = k(n + 5) for some integer k.\nThis gives us n^2 + 20 = kn + 5k\nn^2 - kn - 5k + 20 = 0\nn^2 - kn = 5k - 20\nWe need to find values of n such that n^2 - kn = 5k - 20 has solutions.\nRearranging, we get n(n - k) = 5k - 20\nFor n > 0 and n + 5 to divide n^2 + 20, we need to check possible values.\nTrying n = 4: 4^2 + 20 = 36, 4 + 5 = 9, and 36 is divisible by 9. So n = 4 works.\nTrying n = 15: 15^2 + 20 = 245, 15 + 5 = 20, and 245 is not divisible by 20.\nAfter checking more values systematically, we find that n = 4 is the only positive integer solution."
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},
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{
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"problem": "Determine all real values of x such that log_(x-1)(x^2 - 5x + 7) = 2.",
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"difficulty": "hard",
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"solution": "For log_(x-1)(x^2 - 5x + 7) = 2 to be defined, we need:\n1) x - 1 > 0, so x > 1\n2) x - 1 ≠ 1, so x ≠ 2\n3) x^2 - 5x + 7 > 0\n\nNow, log_(x-1)(x^2 - 5x + 7) = 2 means (x^2 - 5x + 7) = (x-1)^2\n\nExpanding (x-1)^2 = (x-1)(x-1) = x^2 - 2x + 1\n\nSo we need to solve x^2 - 5x + 7 = x^2 - 2x + 1\n-5x + 7 = -2x + 1\n-3x = -6\nx = 2\n\nBut we already established x ≠ 2, so there are no solutions."
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| 27 |
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}
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| 28 |
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],
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| 29 |
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"geometry": [
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| 30 |
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{
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| 31 |
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"problem": "Points A, B, C, and D lie on a circle in that order. If AB = BC = CD and angle BAC = 30°, what is the measure of angle ADC in degrees?",
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| 32 |
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"difficulty": "medium",
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| 33 |
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"solution": "Since AB = BC = CD, we know that B divides arc AC into two equal parts, and C divides arc BD into two equal parts.\n\nLet's denote the center of the circle as O.\nSince AB = BC, triangles AOB and BOC are isosceles.\nThis means angle AOB = angle BOA and angle BOC = angle COB.\n\nWe know angle BAC = 30°.\nBy the inscribed angle theorem, angle BAC = (1/2) × (arc BC).\nSo arc BC = 60°.\n\nSince AB = BC = CD, arcs AB, BC, and CD all have the same length.\nThis means arc AB = arc BC = arc CD = 60°.\n\nBy the inscribed angle theorem, angle ADC = (1/2) × (arc AC).\nArc AC = arc AB + arc BC = 60° + 60° = 120°.\nTherefore, angle ADC = (1/2) × 120° = 60°."
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| 34 |
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}
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| 35 |
+
],
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| 36 |
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"number_theory": [
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| 37 |
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{
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| 38 |
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"problem": "Find the sum of all positive integers n such that n^2 + n + 1 is divisible by 7.",
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| 39 |
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"difficulty": "hard",
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| 40 |
+
"solution": "Let's consider n mod 7 and check when n^2 + n + 1 ≡ 0 (mod 7).\n\nFor n ≡ 0 (mod 7): 0^2 + 0 + 1 = 1 ≡ 1 (mod 7) ❌\nFor n ≡ 1 (mod 7): 1^2 + 1 + 1 = 3 ≡ 3 (mod 7) ❌\nFor n ≡ 2 (mod 7): 2^2 + 2 + 1 = 7 ≡ 0 (mod 7) ✓\nFor n ≡ 3 (mod 7): 3^2 + 3 + 1 = 13 ≡ 6 (mod 7) ❌\nFor n ≡ 4 (mod 7): 4^2 + 4 + 1 = 21 ≡ 0 (mod 7) ✓\nFor n ≡ 5 (mod 7): 5^2 + 5 + 1 = 31 ≡ 3 (mod 7) ❌\nFor n ≡ 6 (mod 7): 6^2 + 6 + 1 = 43 ≡ 1 (mod 7) ❌\n\nSo n^2 + n + 1 is divisible by 7 when n ≡ 2 (mod 7) or n ≡ 4 (mod 7).\n\nFor n ≤ 100, the positive integers that satisfy this are:\n2, 4, 9, 11, 16, 18, 23, 25, 30, 32, 37, 39, 44, 46, 51, 53, 58, 60, 65, 67, 72, 74, 79, 81, 86, 88, 93, 95, 100\n\nThe sum of these numbers is 1501."
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| 41 |
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}
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| 42 |
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],
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| 43 |
+
"combinatorics": [
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| 44 |
+
{
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| 45 |
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"problem": "How many different 4-digit numbers can be formed using the digits 1, 2, 3, 4, 5 without repetition?",
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| 46 |
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"difficulty": "easy",
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| 47 |
+
"solution": "We need to create 4-digit numbers using 5 distinct digits without repetition.\n\nFor the first position, we have 5 choices (1, 2, 3, 4, or 5).\nFor the second position, we have 4 remaining choices.\nFor the third position, we have 3 remaining choices.\nFor the fourth position, we have 2 remaining choices.\n\nBy the multiplication principle, the total number of possible 4-digit numbers is:\n5 × 4 × 3 × 2 = 120"
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| 48 |
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}
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| 49 |
+
]
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| 50 |
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}
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| 51 |
+
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| 52 |
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# Function to generate problem based on filters
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| 53 |
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def generate_problem(topic, difficulty):
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| 54 |
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filtered_problems = [p for p in sample_problems.get(topic, []) if p["difficulty"] == difficulty]
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| 55 |
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if filtered_problems:
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| 56 |
+
return random.choice(filtered_problems)["problem"]
|
| 57 |
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return "No problem found matching the criteria. Try a different combination."
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| 58 |
+
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| 59 |
+
# Function to solve problem using AI model
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| 60 |
+
def solve_problem(problem_text):
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| 61 |
+
if not problem_text.strip():
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| 62 |
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return "Please enter a problem first."
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| 63 |
+
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| 64 |
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prompt = f"Solve this math olympiad problem step by step:\n\n{problem_text}\n\nSolution:"
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| 65 |
+
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| 66 |
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# Add a small delay to simulate AI thinking (remove in production)
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| 67 |
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time.sleep(2)
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| 68 |
+
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| 69 |
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inputs = tokenizer(prompt, return_tensors="pt")
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| 70 |
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| 71 |
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# In a real system, you would use your AI model here
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| 72 |
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# outputs = model.generate(inputs["input_ids"], max_length=1024, temperature=0.7)
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| 73 |
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# solution = tokenizer.decode(outputs[0], skip_special_tokens=True).split("Solution:")[1].strip()
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| 74 |
+
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| 75 |
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# For demo purposes, we'll provide a placeholder solution
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| 76 |
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for topic in sample_problems:
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| 77 |
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for problem in sample_problems[topic]:
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| 78 |
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if problem["problem"] == problem_text:
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return problem["solution"]
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| 80 |
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| 81 |
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return "I'll solve this step-by-step:\n\n1. First, let's understand what the problem is asking...\n\n(This is a placeholder. In the actual implementation, the AI model would generate a detailed solution.)"
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| 82 |
+
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| 83 |
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# Function to analyze student solution
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| 84 |
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def analyze_solution(problem, student_solution, ai_solution):
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| 85 |
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if not student_solution.strip():
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| 86 |
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return "Please enter your solution first."
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| 87 |
+
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| 88 |
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# In a real system, you would compare the solutions more intelligently
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| 89 |
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# For demo purposes, we'll provide a placeholder analysis
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| 90 |
+
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| 91 |
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feedback = "Solution Analysis:\n\n"
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| 92 |
+
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# Simple keyword checking (very basic, would be much more sophisticated in reality)
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ai_keywords = set([word.lower() for word in ai_solution.split() if len(word) > 4])
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student_keywords = set([word.lower() for word in student_solution.split() if len(word) > 4])
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| 96 |
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common_keywords = ai_keywords.intersection(student_keywords)
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| 98 |
+
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| 99 |
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if len(common_keywords) / max(1, len(ai_keywords)) > 0.4:
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feedback += "✓ Your approach seems correct and contains many of the key concepts needed.\n\n"
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| 101 |
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else:
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feedback += "⚠ Your approach may be missing some key concepts or taking a different direction.\n\n"
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| 103 |
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# Check for solution steps
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if student_solution.count("\n") < 3:
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| 106 |
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feedback += "⚠ Your solution could benefit from showing more steps and reasoning.\n\n"
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| 107 |
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else:
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feedback += "✓ Good job showing your work step by step!\n\n"
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| 109 |
+
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# Give general encouragement
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| 111 |
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feedback += "Areas to focus on:\n"
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| 112 |
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feedback += "- Consider whether you've addressed all constraints in the problem\n"
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| 113 |
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feedback += "- Check if your solution is logically complete\n"
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| 114 |
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feedback += "- Verify any algebraic manipulations\n\n"
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| 115 |
+
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| 116 |
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return feedback
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| 117 |
+
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| 118 |
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# Function to generate practice schedule
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| 119 |
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def generate_schedule(topics, difficulty_level, hours_per_week, weeks):
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| 120 |
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if not topics or not difficulty_level or not hours_per_week or not weeks:
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| 121 |
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return "Please fill in all fields."
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| 122 |
+
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| 123 |
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# Create a DataFrame for the schedule
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| 124 |
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schedule = []
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| 125 |
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days = ['Monday', 'Tuesday', 'Wednesday', 'Thursday', 'Friday', 'Saturday', 'Sunday']
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| 126 |
+
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| 127 |
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# Distribute topics across the schedule
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| 128 |
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topics_cycle = topics.copy()
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| 129 |
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random.shuffle(topics_cycle)
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| 130 |
+
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| 131 |
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# Calculate hours per day (simple distribution)
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| 132 |
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hours_per_day = [hours_per_week // 5 if d in ['Monday', 'Tuesday', 'Wednesday', 'Thursday', 'Friday'] else
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| 133 |
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hours_per_week // 10 for d in days]
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| 134 |
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| 135 |
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# Ensure the total equals hours per week
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| 136 |
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while sum(hours_per_day) < hours_per_week:
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| 137 |
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idx = random.randint(0, len(days)-1)
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| 138 |
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hours_per_day[idx] += 1
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| 139 |
+
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| 140 |
+
for week in range(1, weeks+1):
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| 141 |
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for day_idx, day in enumerate(days):
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| 142 |
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if hours_per_day[day_idx] > 0:
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| 143 |
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topic = topics_cycle[week % len(topics_cycle)]
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| 144 |
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schedule.append({
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| 145 |
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'Week': week,
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| 146 |
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'Day': day,
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| 147 |
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'Topic': topic,
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| 148 |
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'Hours': hours_per_day[day_idx],
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| 149 |
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'Difficulty': difficulty_level
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| 150 |
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})
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| 151 |
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| 152 |
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df = pd.DataFrame(schedule)
|
| 153 |
+
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| 154 |
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# Create a visualization
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| 155 |
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fig, ax = plt.subplots(figsize=(10, 6))
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| 156 |
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topic_hours = df.groupby('Topic')['Hours'].sum().reset_index()
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| 157 |
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ax.bar(topic_hours['Topic'], topic_hours['Hours'])
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| 158 |
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ax.set_title('Hours by Topic in Training Schedule')
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| 159 |
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ax.set_xlabel('Topic')
|
| 160 |
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ax.set_ylabel('Total Hours')
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| 161 |
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plt.xticks(rotation=45)
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| 162 |
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plt.tight_layout()
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| 163 |
+
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| 164 |
+
# Convert to HTML for display
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| 165 |
+
schedule_html = df.to_html(index=False)
|
| 166 |
+
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| 167 |
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return fig, schedule_html
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| 168 |
+
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| 169 |
+
# Function to track progress
|
| 170 |
+
def update_progress(topic, correct, incorrect):
|
| 171 |
+
# This would connect to a database in a real implementation
|
| 172 |
+
# For now, we just return a visualization
|
| 173 |
+
topics = ['Algebra', 'Geometry', 'Number Theory', 'Combinatorics', 'Calculus']
|
| 174 |
+
correct_counts = [0, 0, 0, 0, 0]
|
| 175 |
+
incorrect_counts = [0, 0, 0, 0, 0]
|
| 176 |
+
|
| 177 |
+
# Update the counts based on input
|
| 178 |
+
try:
|
| 179 |
+
topic_idx = topics.index(topic)
|
| 180 |
+
correct_counts[topic_idx] = int(correct)
|
| 181 |
+
incorrect_counts[topic_idx] = int(incorrect)
|
| 182 |
+
except:
|
| 183 |
+
pass
|
| 184 |
+
|
| 185 |
+
# Create the progress chart
|
| 186 |
+
fig, ax = plt.subplots(figsize=(10, 6))
|
| 187 |
+
|
| 188 |
+
x = np.arange(len(topics))
|
| 189 |
+
width = 0.35
|
| 190 |
+
|
| 191 |
+
ax.bar(x - width/2, correct_counts, width, label='Correct')
|
| 192 |
+
ax.bar(x + width/2, incorrect_counts, width, label='Incorrect')
|
| 193 |
+
|
| 194 |
+
# Add labels and legend
|
| 195 |
+
ax.set_ylabel('Number of Problems')
|
| 196 |
+
ax.set_title('Progress by Topic')
|
| 197 |
+
ax.set_xticks(x)
|
| 198 |
+
ax.set_xticklabels(topics)
|
| 199 |
+
ax.legend()
|
| 200 |
+
|
| 201 |
+
plt.tight_layout()
|
| 202 |
+
|
| 203 |
+
# Calculate accuracy
|
| 204 |
+
total = sum(correct_counts) + sum(incorrect_counts)
|
| 205 |
+
accuracy = sum(correct_counts) / max(1, total) * 100
|
| 206 |
+
|
| 207 |
+
return fig, f"Overall Accuracy: {accuracy:.1f}%"
|
| 208 |
+
|
| 209 |
+
# Function for the competition simulator
|
| 210 |
+
def simulate_competition(num_problems, difficulty, time_limit):
|
| 211 |
+
if not num_problems or not difficulty or not time_limit:
|
| 212 |
+
return "Please fill in all fields."
|
| 213 |
+
|
| 214 |
+
# Generate a set of problems for the competition
|
| 215 |
+
competition_problems = []
|
| 216 |
+
for topic in sample_problems:
|
| 217 |
+
filtered = [p for p in sample_problems[topic] if p["difficulty"] == difficulty]
|
| 218 |
+
if filtered:
|
| 219 |
+
competition_problems.extend(filtered[:min(2, len(filtered))])
|
| 220 |
+
|
| 221 |
+
if len(competition_problems) > num_problems:
|
| 222 |
+
competition_problems = random.sample(competition_problems, num_problems)
|
| 223 |
+
|
| 224 |
+
# Format the problems
|
| 225 |
+
formatted_problems = ""
|
| 226 |
+
for i, p in enumerate(competition_problems, 1):
|
| 227 |
+
formatted_problems += f"Problem {i}: {p['problem']}\n\n"
|
| 228 |
+
|
| 229 |
+
# Calculate expected time per problem
|
| 230 |
+
time_per_problem = time_limit / max(1, len(competition_problems))
|
| 231 |
+
|
| 232 |
+
return f"Competition Simulation\n\nDifficulty: {difficulty}\nTime Limit: {time_limit} minutes\nRecommended time per problem: {time_per_problem:.1f} minutes\n\n{formatted_problems}"
|
| 233 |
+
|
| 234 |
+
# Create the Gradio interface
|
| 235 |
+
with gr.Blocks(title="AI Math Olympiad Trainer") as demo:
|
| 236 |
+
gr.Markdown("# AI Math Olympiad Trainer System")
|
| 237 |
+
|
| 238 |
+
with gr.Tab("Problem Generator"):
|
| 239 |
+
gr.Markdown("### Generate and Solve Math Olympiad Problems")
|
| 240 |
+
|
| 241 |
+
with gr.Row():
|
| 242 |
+
with gr.Column():
|
| 243 |
+
topic_dropdown = gr.Dropdown(
|
| 244 |
+
choices=["algebra", "geometry", "number_theory", "combinatorics"],
|
| 245 |
+
label="Topic"
|
| 246 |
+
)
|
| 247 |
+
difficulty_dropdown = gr.Dropdown(
|
| 248 |
+
choices=["easy", "medium", "hard"],
|
| 249 |
+
label="Difficulty"
|
| 250 |
+
)
|
| 251 |
+
generate_btn = gr.Button("Generate Problem")
|
| 252 |
+
|
| 253 |
+
with gr.Column():
|
| 254 |
+
problem_output = gr.Textbox(label="Problem", lines=5)
|
| 255 |
+
|
| 256 |
+
with gr.Row():
|
| 257 |
+
with gr.Column():
|
| 258 |
+
solution_input = gr.Textbox(label="Your Solution", lines=10)
|
| 259 |
+
analyze_btn = gr.Button("Analyze My Solution")
|
| 260 |
+
|
| 261 |
+
with gr.Column():
|
| 262 |
+
ai_solution_btn = gr.Button("Get AI Solution")
|
| 263 |
+
ai_solution_output = gr.Textbox(label="AI Solution", lines=10)
|
| 264 |
+
analysis_output = gr.Textbox(label="Analysis", lines=8)
|
| 265 |
+
|
| 266 |
+
with gr.Tab("Training Schedule"):
|
| 267 |
+
gr.Markdown("### Create a Personalized Training Schedule")
|
| 268 |
+
|
| 269 |
+
with gr.Row():
|
| 270 |
+
with gr.Column():
|
| 271 |
+
topics_multiselect = gr.CheckboxGroup(
|
| 272 |
+
choices=["Algebra", "Geometry", "Number Theory", "Combinatorics", "Calculus"],
|
| 273 |
+
label="Select Topics"
|
| 274 |
+
)
|
| 275 |
+
difficulty_radio = gr.Radio(
|
| 276 |
+
choices=["easy", "medium", "hard", "mixed"],
|
| 277 |
+
label="Difficulty Level"
|
| 278 |
+
)
|
| 279 |
+
hours_slider = gr.Slider(
|
| 280 |
+
minimum=1, maximum=30, value=10, step=1,
|
| 281 |
+
label="Hours per Week"
|
| 282 |
+
)
|
| 283 |
+
weeks_slider = gr.Slider(
|
| 284 |
+
minimum=1, maximum=12, value=4, step=1,
|
| 285 |
+
label="Number of Weeks"
|
| 286 |
+
)
|
| 287 |
+
schedule_btn = gr.Button("Generate Schedule")
|
| 288 |
+
|
| 289 |
+
with gr.Column():
|
| 290 |
+
schedule_plot = gr.Plot(label="Hours Distribution")
|
| 291 |
+
schedule_output = gr.HTML(label="Your Schedule")
|
| 292 |
+
|
| 293 |
+
with gr.Tab("Progress Tracker"):
|
| 294 |
+
gr.Markdown("### Track Your Progress")
|
| 295 |
+
|
| 296 |
+
with gr.Row():
|
| 297 |
+
with gr.Column():
|
| 298 |
+
progress_topic = gr.Dropdown(
|
| 299 |
+
choices=["Algebra", "Geometry", "Number Theory", "Combinatorics", "Calculus"],
|
| 300 |
+
label="Topic"
|
| 301 |
+
)
|
| 302 |
+
correct_slider = gr.Slider(
|
| 303 |
+
minimum=0, maximum=50, value=0, step=1,
|
| 304 |
+
label="Correct Solutions"
|
| 305 |
+
)
|
| 306 |
+
incorrect_slider = gr.Slider(
|
| 307 |
+
minimum=0, maximum=50, value=0, step=1,
|
| 308 |
+
label="Incorrect Solutions"
|
| 309 |
+
)
|
| 310 |
+
update_btn = gr.Button("Update Progress")
|
| 311 |
+
|
| 312 |
+
with gr.Column():
|
| 313 |
+
progress_plot = gr.Plot(label="Progress Chart")
|
| 314 |
+
accuracy_output = gr.Textbox(label="Accuracy")
|
| 315 |
+
|
| 316 |
+
with gr.Tab("Competition Simulator"):
|
| 317 |
+
gr.Markdown("### Simulate a Math Competition")
|
| 318 |
+
|
| 319 |
+
with gr.Row():
|
| 320 |
+
with gr.Column():
|
| 321 |
+
problems_slider = gr.Slider(
|
| 322 |
+
minimum=1, maximum=10, value=3, step=1,
|
| 323 |
+
label="Number of Problems"
|
| 324 |
+
)
|
| 325 |
+
comp_difficulty = gr.Radio(
|
| 326 |
+
choices=["easy", "medium", "hard"],
|
| 327 |
+
label="Difficulty"
|
| 328 |
+
)
|
| 329 |
+
time_slider = gr.Slider(
|
| 330 |
+
minimum=15, maximum=180, value=60, step=15,
|
| 331 |
+
label="Time Limit (minutes)"
|
| 332 |
+
)
|
| 333 |
+
simulate_btn = gr.Button("Start Simulation")
|
| 334 |
+
|
| 335 |
+
with gr.Column():
|
| 336 |
+
simulation_output = gr.Textbox(label="Competition Problems", lines=15)
|
| 337 |
+
|
| 338 |
+
# Connect the functions
|
| 339 |
+
generate_btn.click(
|
| 340 |
+
generate_problem,
|
| 341 |
+
inputs=[topic_dropdown, difficulty_dropdown],
|
| 342 |
+
outputs=problem_output
|
| 343 |
+
)
|
| 344 |
+
|
| 345 |
+
ai_solution_btn.click(
|
| 346 |
+
solve_problem,
|
| 347 |
+
inputs=[problem_output],
|
| 348 |
+
outputs=ai_solution_output
|
| 349 |
+
)
|
| 350 |
+
|
| 351 |
+
analyze_btn.click(
|
| 352 |
+
analyze_solution,
|
| 353 |
+
inputs=[problem_output, solution_input, ai_solution_output],
|
| 354 |
+
outputs=analysis_output
|
| 355 |
+
)
|
| 356 |
+
|
| 357 |
+
schedule_btn.click(
|
| 358 |
+
generate_schedule,
|
| 359 |
+
inputs=[topics_multiselect, difficulty_radio, hours_slider, weeks_slider],
|
| 360 |
+
outputs=[schedule_plot, schedule_output]
|
| 361 |
+
)
|
| 362 |
+
|
| 363 |
+
update_btn.click(
|
| 364 |
+
update_progress,
|
| 365 |
+
inputs=[progress_topic, correct_slider, incorrect_slider],
|
| 366 |
+
outputs=[progress_plot, accuracy_output]
|
| 367 |
+
)
|
| 368 |
+
|
| 369 |
+
simulate_btn.click(
|
| 370 |
+
simulate_competition,
|
| 371 |
+
inputs=[problems_slider, comp_difficulty, time_slider],
|
| 372 |
+
outputs=simulation_output
|
| 373 |
+
)
|
| 374 |
+
|
| 375 |
+
# Launch the app
|
| 376 |
+
demo.launch()
|