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A strong reducing agent is a species that readily loses electrons (gets oxidized). A strong oxidizing agent readily gains electrons (gets reduced).
Eu$$^{2+}$$ is a strong reducing agent because europium prefers the +3 oxidation state (half-filled 4f⁷ configuration). Eu²⁺ readily loses an electron to become Eu³⁺.
Ce$$^{4+}$$ is a strong oxidizing agent because cerium prefers the +3 oxidation state. Ce⁴⁺ readily gains an electron to become Ce³⁺ (which has a noble gas core [Xe] configuration).
Therefore, the strong reducing agent is Eu$$^{2+}$$ and the strong oxidizing agent is Ce$$^{4+}$$.
The correct answer is Eu$$^{2+}$$ and Ce$$^{4+}$$.
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