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1004 Counting Leaves (30 分)-PAT甲级

janedaring 2022-03-11 阅读 49

A family hierarchy(等级制度) is usually presented(展现) by a pedigree(族谱) 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<N<100, the number of nodes in a tree, and M (<N), the number of non-leaf nodes. Then M lines follow, each in the format:

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(顺序) of two-digit ID's of its children. For the sake(理由) of simplicity(简单), 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(对于每一层) 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

 AC代码

#include <iostream>
#include <vector>
#include <map>
using namespace std;
vector<vector<int>> tree;
map<int,int>cnt;
void dfs(int cur,int depth)
{
	if(!cnt[depth])
		cnt[depth]=0;
	if(tree[cur].empty()) 
	{
		cnt[depth]++;
		return;
	}
	for(int i=0;i<tree[cur].size();i++)
		dfs(tree[cur][i],depth+1);
}
int main()
{
	int n,m,temp1,temp2,k;
	cin>>n>>m;
	tree.resize(n+1);
	for(int i=0;i<m;i++) 
	{
		cin>>temp1>>k;
		for(int j=0;j<k;j++)
		{
			cin>>temp2;
			tree[temp1].push_back(temp2);
		}
	}
	dfs(1,1);
	map<int,int>::iterator it;
	for(it=cnt.begin();it!=cnt.end();it++)
	{
		if(it!=cnt.begin())
			cout<<" ";
		cout<<it->second;
	}
	return 0;
}

更多PAT甲级题解,请访问:PAT甲级刷题之路--题目索引+知识点分析(正在进行),感谢支持!

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