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1004 Counting Leaves (30分)
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发布时间:2019-03-05

本文共 2379 字,大约阅读时间需要 7 分钟。

1004 Counting Leaves (30分)

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<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 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:

2 101 1 02

Sample Output:

0 1

本题思路:用map来映射所有父节点和子节点之间的关系,并且此题已经确定根节点为01,因此可以逐层遍历寻找

AC代码:

#include<iostream>#include<algorithm>#include<unordered_map>#include<vector>using namespace std;int n,m;unordered_map<int,vector<int>> tree;int main(){       scanf("%d%d",&n,&m);    for(int i=0;i<m;i++)    {           int t,k,p;        scanf("%d%d",&t,&k);        vector<int> ans={   };        for(int j=0;j<k;j++)        {               scanf("%d",&p);            ans.push_back(p);        }        tree[t]=ans;    }    vector<int> res=tree[1];    if(n==1)        printf("1");    else    {           int cnt=1;        printf("0");        while(cnt<n)        {               vector<int> transition={   };            int count=0;            for(int i=0;i<res.size();i++)            {                   if(tree.count(res[i]))                {                       for(int j=0;j<tree[res[i]].size();j++)                        transition.push_back(tree[res[i]][j]);                }                else                    count++;            }            cnt+=res.size();            res.assign(transition.begin(),transition.end());            printf(" %d",count);        }    }    return 0;}

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