二叉堆

#include "stdlib.h"


//另，二叉堆有堆序性，即父亲的权值始终小于每个儿子的权值。所以顶端是Min.

#define Element int
#define MinDATA -1
//MinData is first of Array.
//This MinDATA support a kindof heap which every num is bigger than zero.
struct ;
typedef struct  *Two_Heap;

struct 
{
	int capacity;
	int size;
	int *Array;
};

Two_Heap InitHeap(int Maxsize);//if not space,return 0;
void Destroy(Two_Heap H);
void MakeEmpty(Two_Heap H);
void Insert(Element X,Two_Heap H);
Element DeleteMin(Two_Heap H);
Element FindMin(Two_Heap H);
int IsEmpty(Two_Heap H);//if empty,return 0;
int IsFull(Two_Heap H);//if full,return 0;

Two_Heap InitHeap(int Maxsize)//if not space,return 0;
{
	Two_Heap H;
	H=(Two_Heap)malloc(sizeof(struct node));
	if(H==NULL)
	{
		printf("no space!n");
		return 0;
	}
	H->Array=(int*)malloc(sizeof(int)*Maxsize+1);
	if(H->Array==NULL)
	{
		printf("no space!n");
		return 0;
	}
	H->capacity=Maxsize;
	H->size=0;
	H->Array[0]=MinDATA;//signal to end insert's "for"
	return H;
}

void Destroy(Two_Heap H)
{
	while(IsEmpty(H)!=0)//not empty 
	{
		free(H->Array);
		free(H);
	}
}

void Insert(Element X,Two_Heap H)//上滤
{
	int i;
	if(IsFull(H)==0)//has been full
	{
		printf("This Two_Heap has been full.n");
	}
	else
	{
		for(i=++H->size;H->Array[i/2]>X;i/=2)//that"++H->size" make points from one space. 
			H->Array[i]=H->Array[i/2];//every father instead child,and insteaded X.
		//down to up,and every child instead of it's father.
		//child to father
		//and "H->size has been ++ in shadow."
		H->Array[i]=X;
	}
}

Element DeleteMin(Two_Heap H)//下滤
{
	int i,child;
	Element MinElement,LastElement;
	//why have LastElement?
	//MinElement to save array[1],because array[1] will be change,
	//LastElement is "people" who we should move to right space.
	if(IsEmpty(H)==0)
	{
		printf("No space can be delete,it's empty!n");
		return H->Array[0];
	}
	MinElement=H->Array[1];
	LastElement=H->Array[H->size--];
	for(i=1;i*2<=H->size;i=child)
	{
		child=i*2;//father to child
		if(child!=H->size && H->Array[child+1]<H->Array[child])
			child++;
		//find smaller child.
		
		if(LastElement>H->Array[child])
			H->Array[i]=H->Array[child];
		else
			break;
	}
	H->Array[i]=LastElement;//find right space.
	return MinElement;
}

Element FindMin(Two_Heap H)
{
	return H->Array[1];
}

Element IsEmpty(Two_Heap H)
{
	if(H->size==0)
		return 0;
	else
		return 1;
}

Element IsFull(Two_Heap H)
{
	if(H->size==H->capacity)
		return 0;
	else
		return 1;
}

//this not all,Two_Heap also support some fuction.
//like:
//*DecreaseKey*
//*IncreaseKey*
//*Delete*
//*BuildHeap*

int main()
{
	Two_Heap H;
	int maxsize;
	scanf("%d",&maxsize);
	H=InitHeap(maxsize);
	int i;
	int temp;
	for(i=0;i<maxsize;i++)
	{
		scanf("%d",&temp);
		Insert(temp,H);
	}
	int min1,min2;
	min1=FindMin(H);
	DeleteMin(H);
	min2=FindMin(H);
	printf("%d %dn",min1,min2);
	Destroy(H);
	return 0;
}