I. Question
Use an array to implement three (or more) stacks
Ii. Answers
Using an array to implement three or more stacks does not work if you want to use an array to construct two stacks;
Consider using a static linked list. There are two fields in the array node. The keyword field and the cursor indicating the stack's precursor can make the three stacks be represented in one array;
Key ADT terms:
Capacity: The capacity of the array;
Size: number of data elements stored in the array;
Top_fst: Top Of The first stack;
Iii. Code
struct Node;typedef struct Node ElementType;typedef struct StackRecord * Stack;struct Node{ Type Key; int Pre;};struct StackRecord{ int Capacity; int Size; int Top_Fst; int Top_Snd; int Top_Trd; ElementType *Array;};Stack CreateStack( int MaxElements );int IsEmpty_Fst( Stack S );int IsFull( Stack S );void Push_Fst( Type Key, Stack S );Type Pop_Fst( Stack S );void MakeEmpty( Stack S );void DisposeStack( Stack S );Stack CreateStack( int MaxElements ){ Stack S; S = (Stack)malloc( sizeof(struct StackRecord) ); if ( S == NULL ) { printf( "Out of space" ); return NULL; } S->Array = (ElementType *)malloc( sizeof(ElementType) * MaxElements ); if ( S->Array == NULL ) { printf( "Out of space" ); return NULL; } S->Capacity = MaxElements; MakeEmpty(S); return S;}int IsEmpty_Fst( Stack S ){ return S->Top_Fst == -1;}int IsFull( Stack S ){ return S->Size == S->Capacity;}void MakeEmpty( Stack S ){ if ( S != NULL ) { S->Size =0; S->Top_Fst = -1; S->Top_Snd = -1; S->Top_Trd = -1; }}void Push_Fst( Type Key, Stack S ){ int TmpCell; if ( IsFull(S) ) printf( "Stack is full" ); else { TmpCell = S->Top_Fst; S->Top_Fst = S->Size; S->Array[S->Top_Fst].Key = Key; S->Array[S->Top_Fst].Pre = TmpCell; S->Size++; }}Type Pop_Fst( Stack S ){ int TmpCell; if ( IsEmpty_Fst(S) ) printf( "Stack is empty" ); else { TmpCell = S->Top_Fst; S->Top_Fst = S->Array[TmpCell].Pre; S->Size--; } return S->Array[TmpCell].Key;}void DisposeStack( Stack S ){ if ( S != NULL ) { free( S->Array ); free( S ); }}
Data Structure and algorithm analysis 3.23-use an array to implement three (multiple) stacks