export type VariableTermKind = "constant" | "variable";

export interface VariableParenthesisTerm {
  kind: VariableTermKind;
  coefficient: number;
  variable?: "x";
}

export interface DistributedVariableTerm {
  kind: VariableTermKind;
  coefficient: number;
  variable?: "x";
  latex: string;
}

export interface VariableTermChoice {
  id: string;
  coefficient: number;
  variable?: "x";
  latex: string;
}

export interface VariableParenthesisProblem {
  id: string;
  key: string;
  multiplier: number;
  terms: VariableParenthesisTerm[];
  operators: ("+" | "-")[];
  operator: "+" | "-";
  firstTerm: VariableParenthesisTerm;
  secondTerm: VariableParenthesisTerm;
  correctTerms: DistributedVariableTerm[];
  choices: VariableTermChoice[][];
  latexBefore: string;
  latexAfter: string;
}

export interface VariableUserAnswer {
  selectedChoiceIds: (string | null)[];
}

export interface VariableGradeResult {
  correct: boolean;
  userAnswer: (DistributedVariableTerm | null)[];
  correctAnswer: DistributedVariableTerm[];
}