How did the Congress and the Muslim League respond to the Cabinet Mission Plan?

The British Government sent, in March 1946, a Cabinet Mission to India to negotiate with the Indian leaders the terms for the transfer of power to Indians. The Cabinet Mission proposed a two-tiered federal plan which was expected to maintain national unity while conceding the largest measure of regional autonomy. There was to be a federation of the provinces and the states, with the federal centre controlling only defence, foreign affairs, and communications. Both the National Congress and the Muslim League accepted this plan. But the two could not agree on the plan for an interim government, which would convene a constituent assembly to frame a constitution for the free, federal India. The two also put differing interpretations on the Cabinet Mission scheme to which they had agreed earlier.