所有问题

已知$a+b+c=2022$,$\dfrac{1}{a}+\dfrac{1}{b}+\dfrac{1}{c}=\dfrac{1}{2022}$,求$S=\dfrac{1}{a^{2023}}+\dfrac{1}{b^{2023}}+\dfrac{1}{c^{2023}}$