In the algebraic representation of propositional logic using a Boolean ring $(R, +, \cdot, 0, 1)$ where addition $+$ represents exclusive OR (symmetric difference) and multiplication $\cdot$ represents conjunction (AND), the formula $P \iff Q$ is represented by the polynomial $P + Q + 1$. Which of the following polynomials represents the formula $P \implies (Q \iff R)$?