feat: complete pragativeer v2 frontend and backend, docker setup, and cbt engine

backend/ai_coach.py

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+from datetime import datetime, timedelta
+from typing import Tuple
+
+def calculate_sm2(q: int, repetitions: int, ease_factor: float, previous_interval: int) -> Tuple[int, float]:
+    """
+    Implements the standard SuperMemo-2 (SM-2) algorithm.
+    q: quality of the response (0-5)
+       5: perfect response
+       4: correct response after a hesitation
+       3: correct response caught with serious difficulty
+       2: incorrect response; where the correct one seemed easy to recall
+       1: incorrect response; the correct one remembered
+       0: complete blackout
+    """
+    if q < 3:
+        # If the answer was incorrect, reset repetitions and schedule for immediate review (1 day)
+        return 1, ease_factor
+
+    # Calculate new Easiness Factor
+    new_ef = ease_factor + (0.1 - (5 - q) * (0.08 + (5 - q) * 0.02))
+    if new_ef < 1.3:
+        new_ef = 1.3
+
+    # Calculate next interval (in days)
+    if repetitions == 0:
+        new_interval = 1
+    elif repetitions == 1:
+        new_interval = 3  # Calibrated for intense JEE/NEET daily sprint cycles
+    elif repetitions == 2:
+        new_interval = 7
+    else:
+        new_interval = round(previous_interval * new_ef)
+
+    return new_interval, new_ef