Jimmy needs to prevent the situation where a cake ordered according to the brochure slips during the baking pro_cess into the shape of some other cake inthe brochure. For example, the infinite-level cake A labelled by the sequence 12111... in Fig. 3 can, during the baking process, collapse into the shape of the infinite-level cake B corresponding to the sequence 111.... You see., the whole Level II can ooze down over Level I, with M going to the edge, with the whole section shown in blue going tof(K), the section p shown in brown going to the left portion of I, and the rest, the section q, going to the right portion of I.
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