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The resulting structure is known as a Threaded List, because a line can be drawn along the arrows so as to pass through every p-word without taking the pen off the paper. This scheme has as its main drawback the inability to share sublists. A FORTRAN scheme, described by Weizenbaum (1963), uses forward and backward pointers between every item, but the resulting structure occupies more space. McCarthy's scheme has the attraction of simplicity, and provided recursion can be implemented efficiently it is not difficult to use.

In the first, two arrays D and A are set up, holding the departure and arrival times. In the second, an array T is set up containing the departure times of acceptable trains, and in the third section the elements of array T are sorted into order and printed. The heart of the problem is in the second phase, which is discussed in some detail. An acceptable train must satisfy two conditions; it must be fast, and it must not be overtaken. Therefore we define two predicate functions representing these conditions.

All the words representing the structure of a list are partitioned into halves with an address in each half. For convenience of description a pair of addresses in one word will be termed a p-word. Every list has, corresponding to it, a p-word containing addresses which point to its head and tail (Fig. 1). When a symbol such as x is used to stand for a list, the store word allocated to x contains the address of the p-word. When x stands for an atom, its store word contains the address of the atom.

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