Školjka

%V0 Let $N$ be the number of integral solutions of the equation $$x^2 - y^2 = z^3 - t^3$$ satisfying the condition $0 \leq x, y, z, t \leq 10^6$, and let $M$ be the number of integral solutions of the equation $$x^2 - y^2 = z^3 - t^3 + 1$$ satisfying the condition $0 \leq x, y, z, t \leq 10^6$. Prove that $N >M.$