1147. Heaps (30)

叁歲伎倆 2022-05-27 20:40 194阅读 0赞

In computer science, a **heap** is a specialized tree-based data structure that satisfies the heap property: if P is a parent node of C, then the key (the value) of P is either greater than or equal to (in a max heap) or less than or equal to (in a min heap) the key of C. A common implementation of a heap is the binary heap, in which the tree is a complete binary tree. (Quoted from Wikipedia at https://en.wikipedia.org/wiki/Heap\_(data\_structure))

Your job is to tell if a given complete binary tree is a heap.

**Input Specification:**

Each input file contains one test case. For each case, the first line gives two positive integers: M (<= 100), the number of trees to be tested; and N (1 < N <= 1000), the number of keys in each tree, respectively. Then M lines follow, each contains N distinct integer keys (all in the range of **int**), which gives the level order traversal sequence of a complete binary tree.

**Output Specification:**

For each given tree, print in a line "Max Heap" if it is a max heap, or "Min Heap" for a min heap, or "Not Heap" if it is not a heap at all. Then in the next line print the tree's postorder traversal sequence. All the numbers are separated by a space, and there must no extra space at the beginning or the end of the line.

**Sample Input:**

3 8
    98 72 86 60 65 12 23 50
    8 38 25 58 52 82 70 60
    10 28 15 12 34 9 8 56

**Sample Output:**

Max Heap
    50 60 65 72 12 23 86 98
    Min Heap
    60 58 52 38 82 70 25 8
    Not Heap
    56 12 34 28 9 8 15 10

--------------------

题目大意：

代码：

#include<stdio.h>
    int a[1010],m,b[1010],num;
    int MaxHeap()
    {
        int i,j,k;
        for(i=0;i<m/2;i++)
        {
            if(i*2+1<m&&i*2+2<m)
            {
                k=i*2+1;
                if(a[k]<a[i*2+2])
            {
                k=i*2+2;
            }
            }
            else if(i*2+1<m&&i*2+2>=m)
            {
               k=i*2+1;
            }
            if(a[i]<a[k])
            {
               return 0;
            }
        }
        return 1;
    }
    int MinHeap()
    {
        int i,j,k;
        for(i=0;i<m/2;i++)
        {
            if(i*2+1<m&&i*2+2<m)
            {
                k=i*2+1;
                if(a[k]>a[i*2+2])
            {
                k=i*2+2;
            }
            }
            else if(i*2+1<m&&i*2+2>=m)
            {
               k=i*2+1;
            }
            if(a[i]>a[k])
            {
               return 0;
            }
        }
        return 1;
    }
    void postorder(int root)
    {
        if(root<m)
        {
            postorder(root*2+1);
            postorder(root*2+2);
            b[num++]=a[root];
        }
    }
    int main()
    {
        int i,j,n,k,t;
        scanf("%d %d",&n,&m);
        for(i=0;i<n;i++)
        {
            for(j=0;j<m;j++)
            {
                scanf("%d",&a[j]);
            }
            num=0;
            postorder(0);
            int flag1=MaxHeap();
            if(flag1==1)
            {
                printf("Max Heap\n");
            }
            int flag2=MinHeap();
            if(flag2==1)
            {
                printf("Min Heap\n");
            }
            if(flag1==0&&flag2==0)
            {
                printf("Not Heap\n");
            }
            for(j=0;j<m;j++)
            {
                if(j==0)
                {
                    printf("%d",b[j]);
                }
                else
                {
                    printf(" %d",b[j]);
                }
            }
            printf("\n");
        }
        return 0;
    }