4. Find the number of solutions to the following congruence equations:
(i) $x^{2} \equiv -2 \pmod{67}$;
(ii) $x^{2} \equiv 2 \pmod{67}$;
(iii) $x^{2} \equiv -2 \pmod{37}$;
(iv) $x^{2} \equiv 2 \pmod{37}$;
(v) $x^{2} \equiv -1 \pmod{221}$;
(vi) $x^{2} \equiv -1 \pmod{427}$;
(vii) $x^{2} \equiv -2 \pmod{209}$;
(viii) $x^{2} \equiv 2 \pmod{391}$;
(ix) $x^{2} \equiv 4 \pmod{45}$;
(x) $x^{2} \equiv 5 \pmod{539}$.