Alice has three array-based stacks, A, B, and C, such that A has capacity 100, B has capacity 5, and C has capacity 3. Initially, A is full, and B and C are empty. Unfortunately, the person who programmed the class for these stacks made the push and popmethods private. The onlymethodAlice can use is a static method, dump(S,T), which transfers (by iteratively applying the private pop and push methods) elements from stack S to stack T until either S becomes empty or T becomes full. So, for example, starting from our initial configuration and performing dump(A,C) results in A now holding 97 elements and C holding 3. Describe a sequence of dump operations that starts from the initial configuration and results in B holding 4 elements at the end.
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