By Manoochehr Azmoodeh (auth.)
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Extra resources for Abstract Data Types and Algorithms
And not full(S) do begin pushCS,c); read( c) end; while not emptyCS> do begin writeCtop(S)); popCS) end. ) (l! ) end So far, the reverse program uses 'stack' as if it were a pre-defmed type such as integers. The next stage in the development of this program is to implement the ADT stack. 6). 6 Array implementation of stacks. n 36 Abstract Data Types and Algorithms The variable 'last' indicates the top of the stack. Now, the type stack can be defined as canst n = type stack (* n is the maximum size of a stack *) record elements 1 array [1 ..
Also, note that in the procedure initialise, it is not strictly necessary to assign an arbitrary value to all the elements of the array. But, if this is not done, some Pascal compilers would reject 'write( empty(S))', since S contains undefined components. Once an ADT is specified and implemented, it can be used like any other built-in type with no reference to its particular implementation. Before we can do so, however, it must be established that the implementation conforms to the specification.
Max. problem size in 1 minute Max. 6x 106 s; ~ 2 X10 5 s3 s4 s~ s~ s~ s~ ~ ~ ~ ~ 1897 153 21 10 S5 S6 ~244 ~39 ~ 15 ~8 fore~ Max. problem size in 1 minute after speed up s~ = 60S1 s; ~ 60S 2 (for large S2 ) s~ ~ 8S3 s~ ~ 4S4 S~ ~ S5 +6 S~ ~ S6 +e lo&l60 logeS 6 - 1 Alfred V. Aha/John E. Hopcroft/Jeffrey D. , Reading, Massachusetts. 1. Reprinted with permission of the publisher. Also the maximum problem sizes are given in one hour (36 x 105 ms) of computation: S~, s;, ... , S~. Now, if the speed of the computer is increased 60 times, represents the maximum problem size executable in one minute for the problem Ai.