export type Difficulty = 1 | 2 | 3;

export type MathAnswer =
  | { kind: "fraction"; numerator: number; denominator: number }
  | { kind: "decimal"; value: number }
  | { kind: "integer"; value: number }
  | { kind: "ratio"; parts: number[] }
  | { kind: "standardForm"; coefficient: number; exponent: number };

export interface SolutionStep {
  explanation: string;
  math?: string;
}

export interface MathProblem {
  id: string;
  prompt: string;
  answer: MathAnswer;
  hints: string[];
  steps: SolutionStep[];
}