pat 1004. Counting Leaves (30)

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本文介绍了一种算法，用于计算家族树结构中每个层级的叶子节点数量。通过深度优先搜索（DFS）遍历树结构，实现对不同辈分水平上无子节点成员的计数。

1004. Counting Leaves (30)

时间限制

400 ms

内存限制

65536 kB

代码长度限制

16000 B

判题程序

Standard

作者

CHEN, Yue

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

Input

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.

Output

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

dfs，求每层的叶子个数。

#include<bits/stdc++.h>
using namespace std;
const int maxn =10010;
int n,m;
map<int, vector<int> > adjest;
int levelnum[maxn];

void dfs(int node,int level){
    if(adjest[node].empty()){
        levelnum[level]++;
        return;
    }
    vector<int>::iterator itea=adjest[node].begin();
    for(;itea!=adjest[node].end();itea++){
        dfs(*itea,level+1);
    }
}

int main()
{
    scanf("%d%d",&n,&m);
    int id1,id2,k;
    int leaves=n-m;
    for(int i=0;i<m;i++){
        scanf("%d%d",&id1,&k);
        for(int j=0;j<k;j++){
            scanf("%d",&id2);
            adjest[id1].push_back(id2);
        }
    }
    dfs(1,0);
    int a=levelnum[0];
    printf("%d",a);
    for(int i=1;a<leaves;i++){
        printf(" %d",levelnum[i]);
        a+=levelnum[i];
    }
    printf("\n");
}