#include <iostream>
#include <cstdio>
using namespace std;
int sizeOfheap, mark;
void heapAdjust(int a[], int i, int sizeOfheap)//调整堆 (调整范围:i与i下面的子树)
{
int lchild = 2 * i; //i的左孩子节点序号
int rchild = 2 * i + 1; //i的右孩子节点序号
int maxs = i; //先默认第i个是最大的
if(i <= sizeOfheap / 2) //不调整叶子节点
{
if(lchild <= sizeOfheap && a[lchild] > a[maxs])
maxs = lchild;
if(rchild <= sizeOfheap && a[rchild] > a[maxs])
maxs = rchild;
mark = i;
if(maxs != i)
{
swap(a[i], a[maxs]); //注意下标没换
mark = i;
heapAdjust(a, maxs, sizeOfheap); //避免调整之后以max为父节点的子树不是堆
}
}
}
void BuildHeap(int a[], int n)
{
int i; //非叶节点最大序号值为size/2
for(i = n / 2; i >= 1; i--) //从下面往上面调整
heapAdjust(a, i, n);
}
void HeapSort(int a[], int n)
{
int i;
BuildHeap(a, n);
for(i = n; i >= 1; i--)
{
swap(a[1], a[i]); //最后面的数和第一个数交换,结果最后一个数变为最大的树了
heapAdjust(a, 1, i - 1);
}
}
int top(int a[])
{
return a[1];
}
int pop(int a[])
{
if(sizeOfheap < 1)
printf("heap underflow ! \n");
int maxs = a[1]; //优先级最高 ,排在第一个的,这里是最大的
a[1] = a[sizeOfheap--]; //逻辑上删除了最后一个元素
heapAdjust(a,1,sizeOfheap);
return maxs;
}
void changeKey(int a[], int i, int key)//改变第i个元素的关键值key
{
if(key < a[i])
printf("new key is smaller than current key!\n");
a[i] = key;
heapAdjust(a, 1, sizeOfheap);
}
void push(int a[], int key) //入队
{
a[++sizeOfheap] = key;
heapAdjust(a, 1, sizeOfheap);//调整
}
int main()
{
int a[100];
while(scanf("%d", &sizeOfheap) == 1 && sizeOfheap > 0)
{
int i;
for(i = 1; i <= sizeOfheap; i++) //从下标1开始到n
scanf("%d", &a[i]);
printf("%d\n", pop(a)); //输出优先级最高的
HeapSort(a, sizeOfheap); //从小到大排序
for(i = 1; i <= sizeOfheap; i++)
printf("%d ",a[i]);
printf("\n\n");
printf("top: %d\n",top(a));
printf("\n");
changeKey(a, 1, 6);
push(a, 5);
HeapSort(a, sizeOfheap);
for(i = 1; i <= sizeOfheap; i++)
printf("%d ",a[i]);
}
return 0;
}
优先队列(堆实现)
最新推荐文章于 2024-07-28 16:57:57 发布