How was the problem solved in matched by ally condie?

In "Matched" by Ally Condie, the problem was solved through the protagonist, Cassia, challenging the restrictive Society by following her heart and choosing to forge her own path instead of conforming to the rules imposed on her. Through courage, rebellion, and the support of those around her, Cassia was able to defy the Society and make choices that led to her own empowerment and freedom.