Building an Automated Timetable Generator for 18 School Sections

### The Combinatorial Explosion Every academic year, school administration spent over 14 days manually mapping faculty timetables on giant paper spreadsheets. The complexity is staggering: - 18 class sections across Class 6 to 12 - 45 teachers with specific weekly subject quotas and daily period caps - Special subject constraints (Laboratories, Hindustani Music, Physical Education) - Maximum consecutive lecture limits to prevent faculty burnout

Developing the Constraint Solver I modeled the challenge as a **Constraint Satisfaction Problem (CSP)** using recursive backtracking with forward checking heuristics.

def is_valid_assignment(teacher, section, period, day, schedule_matrix):
    # 1. No teacher double-booking
    if schedule_matrix[day][period]['teachers'].get(teacher):
        return False
    # 2. Maximum 4 consecutive periods constraint
    if check_consecutive_fatigue(teacher, day, period, schedule_matrix):
        return False
    return True

Impact What previously took 14 days of tedious manual trial-and-error now generates a conflict-free master timetable and individual teacher cards in **under 1.4 seconds**.