{"Dojo":{"knowledgePointLabels":{"eju_math_c1":{"integer_properties":"Integer properties","quadratic_functions":"Quadratic functions","absolute_value_equations":"Absolute-value expressions and equations","cevian_theorems":"Angle bisectors, Ceva, and Menelaus","circle_power_tangency":"Power of a point, chords, and tangents","complement_case_counting":"Complement, inclusion-exclusion, and case counting","conditional_probability":"Conditional and total probability","congruences_crt":"Congruences and the Chinese remainder theorem","digit_arrangements_divisibility":"Digit arrangements and divisibility","diophantine_equations":"Linear Diophantine equations","gcd_euclidean_algorithm":"GCD and the Euclidean algorithm","incircle_geometry":"Incircle, incenter, and inradius","line_parabola_intersections":"Line-parabola intersections and tangency","logical_implication_conditions":"Implication, negation, and necessary/sufficient conditions","numeral_systems":"Numeral systems and integer representation","permutations_combinations":"Permutations, combinations, and counting","polynomial_identities":"Polynomial identities and factorization","prime_factorization_divisors":"Prime factorization and divisor counts","quadratic_discriminant_roots":"Discriminants and root location","quadratic_inequalities":"Quadratic inequalities and solution sets","quadratic_vertex_extrema":"Quadratic vertices and interval extrema","radical_expressions":"Radical simplification and rationalization","set_operations_cardinality":"Set operations and cardinality","similarity_segment_ratios":"Triangle similarity and segment ratios","sine_cosine_laws":"Sine and cosine laws","spatial_figure_measurement":"Spatial distance and volume","symmetric_expressions":"Symmetric expressions and power sums","triangle_area_measurement":"Triangle area and length measurement","trigonometric_ratios":"Trigonometric ratios and special angles"}}}}