PAT甲级-1004 Counting Leaves (30分)

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题目：
A family hierarchy is usually presented by a pedigree tree. Your job is to count those family members who have no child.

Input Specification:
Each input file contains one test case. Each case starts with a line containing 0

ID K ID[1] ID[2] … ID[K]

where ID is a two-digit number representing a given non-leaf node, K is the number of its children, followed by a sequence of two-digit ID’s of its children. For the sake of simplicity, let us fix the root ID to be 01.

The input ends with N being 0. That case must NOT be processed.

Output Specification:
For each test case, you are supposed to count those family members who have no child for every seniority level starting from the root. The numbers must be printed in a line, separated by a space, and there must be no extra space at the end of each line.

The sample case represents a tree with only 2 nodes, where 01 is the root and 02 is its only child. Hence on the root 01 level, there is 0 leaf node; and on the next level, there is 1 leaf node. Then we should output 0 1 in a line.

Sample Input:

2 1
01 1 02

Sample Output:

0 1

题意：
第一行输入节点数（貌似没啥用） 和所有父节点数，也就是之后输入的行数
然后每行输入当前节点编号 他的子节点数 和一系列子节点
输出要求是输出每层有多少个叶节点

我的代码：

#include
using namespace std;

struct node{
    int level;//好像没什么用
    vector<int>sons;
}all_father[120];
int max_level=0;
int level_nonleaf[120]={0};

void DFS(int father,int level)
{
    all_father[father].level=level;
    if(all_father[father].sons.size()==0)
    {
        level_nonleaf[level]++;
        return;
    }
    level++;
    max_level=max(max_level,level);
    for(int i=0;i<all_father[father].sons.size();i++)
    {
        DFS(all_father[father].sons[i],level);
    }
}

int main()
{
    int N,M;
    cin>>N>>M;

    for(int i=0;i<M;i++)//M行，每行以父节点开头，它的子随后
    {
        int father_id,num_son;
        cin>>father_id>>num_son;
        for(int j=0;j<num_son;j++)
        {
            int son;
            cin>>son;
            all_father[father_id].sons.push_back(son);
        }
    }

    DFS(1,0);

    for(int i=0;i<=max_level;i++)
    {
        cout<<level_nonleaf[i];
        if(i!=max_level)cout<<" ";
    }

    return 0;
}

注意： 输入不一定是根节点开头，一开始做错了，仔细读题发现固定root的id为01，如果输入第一个父节点不是01的话，就没办法直接计算层号了，所以得先把所有数据输入之后在进行统计

如果输入是按照层输入的话，可以用下面的代码：

#include
using namespace std;

int main()
{
    int N,M;
    cin>>N>>M;

    int node_level[500]={0};//每个结点自己在第几层
    int level_nonleaf[500]={0};
    int max_level=1;

    for(int i=0;i<M;i++)//M行，每行以非叶结点开头，它的子随后
    {
        int id_father,num_son,level_son=2;//root,当作第一层
        cin>>id_father>>num_son;
        if(i!=0)//不是第一层,子节点都为（父+1）层
        {
            int level_father=node_level[id_father];
            level_nonleaf[level_father]--;//父层叶节点个数-1
            level_son=level_father+1;
        }

        max_level=level_son>max_level?level_son:max_level;//记录层数，方便输出
        level_nonleaf[level_son]+=num_son;//子层叶节点个数加上子数
        for(int j=0;j<num_son;j++)//k个子节点
        {
            int id_son;
            cin>>id_son;
            node_level[id_son]=level_son;
        }
    }

    //逐层输出多少个叶节点；
    for(int i=1;i<=max_level;i++)
    {
        cout<<level_nonleaf[i];
        if(i!=max_level)cout<<" ";
    }

    return 0;
}