The proposal in the pamphlet entitled "The Way Out" by C. Rajagopalachari (C.R.) was a solution for the constitutional deadlock. The pamphlet was published in 1944, during the Quit India Movement, and proposed a plan for ending the political deadlock between the British government and the Indian National Congress.

The main proposal of the pamphlet was the creation of a "Union of India," which would be a decentralized federation consisting of autonomous provinces and princely states. The Union would have a weak central government with limited powers, while the provinces and princely states would have more autonomy and be responsible for most governmental functions.

This proposal was intended to provide a compromise solution to the ongoing constitutional deadlock between the British government and the Indian National Congress, which had been demanding greater self-rule and independence for India. C.R.`s proposal was seen as a moderate and conciliatory approach, and was generally well-received by both Indian nationalist leaders and the British government.

Therefore, the correct option is (d) A solution for the constitutional deadlock.