Because these cases arose under different local conditions and their disposition will involve a variety of local problems, we requested further argument on the question of relief.[22] In view of the nationwide importance of the decision, we invited the Attorney General of the United States and the Attorneys General of all states requiring or permitting racial discrimination in public education to present their views on that question. The parties, the United States and the States of Florida, North Carolina, Arkansas, Oklahoma, Maryland, and Texas filed briefs and participated in the oral argument. These presentations were informative and helpful to the Court in its consideration of the complexities arising from the transition to a system of public education freed of racial discrimination. The presentations also demonstrated that substantial steps to eliminate racial discrimination in public schools have already been taken, not only in some of the communities in which these cases arose, but in some of the states appearing as _amici curiae_, and in other states as well. Substantial progress has been made in the District of Columbia and in the communities in Kansas and Delaware involved in this litigation. The defendants in the cases coming to us from South Carolina and Virginia are awaiting the decision of this Court concerning relief. Full implementation of these constitutional principles may require solution of varied local school problems, School authorities have the primary responsibility for elucidating, assessing, and solving these problems; courts will have to consider whether the action of school authorities constitutes good faith implementation of the governing constitutional principles. Because of their proximity to local conditions and the possible need for further hearings, the courts which originally heard these cases can best perform this judicial appraisal. Accordingly, we believe it appropriate to remand the cases to those courts.[23] In fashioning and effectuating the decrees, the courts will be guided by equitable principles. Traditionally, equity has been characterized by a practical flexibility in shaping its remedies[24] and by a facility for adjusting and reconciling public and private needs.[25] These cases call for the exercise of these traditional attributes of equity power. At stake is the personal interest of the plaintiffs in admission to public schools as soon as practicable on a nondiscriminatory basis. To effectuate this interest may call for elimination of a variety of obstacles in making the transition to school systems operated in accordance with the constitutional principles set forth in our May 17, 1954, decision. Courts of equity may properly take into account the public interest in the elimination of such obstacles in a systematic and effective manner. But it should go without saying that the vitality of these constitutional principles cannot be allowed to yield simply because of disagreement with them.