• PAT 1094 The Largest Generation[bfs][一般]


    1094 The Largest Generation(25 分)

    A family hierarchy is usually presented by a pedigree tree where all the nodes on the same level belong to the same generation. Your task is to find the generation with the largest population.

    Input Specification:

    Each input file contains one test case. Each case starts with two positive integers N (<100) which is the total number of family members in the tree (and hence assume that all the members are numbered from 01 to N), and M (<N) which is the number of family members who have children. Then M lines follow, each contains the information of a family member in the following format:

    ID K ID[1] ID[2] ... ID[K]
    

    where ID is a two-digit number representing a family member, K (>0) is the number of his/her children, followed by a sequence of two-digit ID's of his/her children. For the sake of simplicity, let us fix the root ID to be 01. All the numbers in a line are separated by a space.

    Output Specification:

    For each test case, print in one line the largest population number and the level of the corresponding generation. It is assumed that such a generation is unique, and the root level is defined to be 1.

    Sample Input:

    23 13
    21 1 23
    01 4 03 02 04 05
    03 3 06 07 08
    06 2 12 13
    13 1 21
    08 2 15 16
    02 2 09 10
    11 2 19 20
    17 1 22
    05 1 11
    07 1 14
    09 1 17
    10 1 18
    

    Sample Output:

    9 4

     题目大意:求树的具有最多节点的层数, 并输出是第几层。

     这是我写的。

    #include <iostream>
    #include <vector>
    #include <map>
    #include<stdio.h>
    #include<cmath>
    #include<queue>
    using namespace std;
    vector<int> tree[202];
    map<int,int> mp;
    int main() {
        int n,m;
        queue<int> que;
        scanf("%d %d",&n,&m);
        int id,k,temp;
        for(int i=0;i<m;i++){
            scanf("%d %d",&id,&k);
            for(int j=0;j<k;j++){
               scanf("%d",&temp);
               tree[id].push_back(temp);
            }
        }
        que.push(1);
        que.push(-1);
        mp[1]=1;
        int level=2;
        while(!que.empty()){
            int top=que.front();que.pop();
            while(top!=-1){
                for(int i=0;i<tree[top].size();i++){
                    mp[level]++;
                    que.push(tree[top][i]);
                }
                top=que.front();que.pop();
            }
            //是不是得两层while,每次写这个地方都有疑惑的。
            if(!que.empty()){
                level++;que.push(-1);
            }
        }
        int maxs=0;
        id=0;
        for(int i=1;i<=level;i++){
            if(mp[i]>maxs){
                maxs=mp[i];
                id=i;
            }
        }
        printf("%d %d",maxs,id);
    
        return 0;
    }

    //用-1作为标记,双层while循环进行遍历。

    下列代码均来自:https://www.liuchuo.net/archives/2223

    #include <cstdio>
    #include <vector>
    using namespace std;
    vector<int> v[100];
    int book[100];
    void dfs(int index, int level) {
        //传参是本节点下标和节点所在层数!
        book[level]++;
        for(int i = 0; i < v[index].size(); i++)
            dfs(v[index][i], level+1);
    }
    int main() {
        int n, m, a, k, c;
        scanf("%d %d", &n, &m);
        for(int i = 0; i < m; i++) {
            scanf("%d %d",&a, &k);
            for(int j = 0; j < k; j++) {
                scanf("%d", &c);
                v[a].push_back(c);
            }
        }
        dfs(1, 1);
        int maxnum = 0, maxlevel = 1;
        for(int i = 1; i < 100; i++) {
            if(book[i] > maxnum) {
                maxnum = book[i];
                maxlevel = i;
            }
        }
        printf("%d %d", maxnum, maxlevel);
        return 0;
    }

    //没看到代码之前我都不知道还可以用dfs写。以为只可以用bfs,学习了! 

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  • 原文地址:https://www.cnblogs.com/BlueBlueSea/p/9517218.html
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