习题3.14 另类堆栈(15 分)浙大版《数据结构(第2版)》题目集

时间:2021-12-11 00:13:46

在栈的顺序存储实现中,另有一种方法是将Top定义为栈顶的上一个位置。请编写程序实现这种定义下堆栈的入栈、出栈操作。如何判断堆栈为空或者满?

函数接口定义:

bool Push( Stack S, ElementType X );
ElementType Pop( Stack S );

其中Stack结构定义如下:

typedef int Position;
typedef struct SNode *PtrToSNode;
struct SNode {
ElementType *Data; /* 存储元素的数组 */
Position Top; /* 栈顶指针 */
int MaxSize; /* 堆栈最大容量 */
};
typedef PtrToSNode Stack;

注意:如果堆栈已满,Push函数必须输出“Stack Full”并且返回false;如果队列是空的,则Pop函数必须输出“Stack Empty”,并且返回ERROR。

裁判测试程序样例:

#include <stdio.h>
#include <stdlib.h>

#define ERROR -1
typedef int ElementType;
typedef enum { push, pop, end } Operation;
typedef enum { false, true } bool;
typedef int Position;
typedef struct SNode *PtrToSNode;
struct SNode {
ElementType *Data; /* 存储元素的数组 */
Position Top; /* 栈顶指针 */
int MaxSize; /* 堆栈最大容量 */
};
typedef PtrToSNode Stack;

Stack CreateStack( int MaxSize )
{
Stack S = (Stack)malloc(sizeof(struct SNode));
S->Data = (ElementType *)malloc(MaxSize * sizeof(ElementType));
S->Top = 0;
S->MaxSize = MaxSize;
return S;
}

bool Push( Stack S, ElementType X );
ElementType Pop( Stack S );

Operation GetOp(); /* 裁判实现,细节不表 */
void PrintStack( Stack S ); /* 裁判实现,细节不表 */

int main()
{
ElementType X;
Stack S;
int N, done = 0;

scanf("%d", &N);
S = CreateStack(N);
while ( !done ) {
switch( GetOp() ) {
case push:
scanf("%d", &X);
Push(S, X);
break;
case pop:
X = Pop(S);
if ( X!=ERROR ) printf("%d is out\n", X);
break;
case end:
PrintStack(S);
done = 1;
break;
}
}
return 0;
}

/* 你的代码将被嵌在这里 */

输入样例:

4
Pop
Push 5
Push 4
Push 3
Pop
Pop
Push 2
Push 1
Push 0
Push 10
End

输出样例:

Stack Empty
3 is out
4 is out
Stack Full
0 1 2 5


代码:

bool Push( Stack S, ElementType X )
{
if(S->Top == S->MaxSize)
{
printf(
"Stack Full\n");
return false;
}
else
{
S
->Data[S->Top] = X;
S
->Top ++;
}
}
ElementType Pop( Stack S )
{
if(S->Top == 0)
{
printf(
"Stack Empty\n");
return ERROR;
}
else
{
ElementType a
= S->Data[S->Top - 1];
S
->Top --;
return a;
}
}