• PAT甲级——1094 The Largest Generation (树的遍历)


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    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 (<) 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 (<) 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 (>) 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:一个家族里面的人的ID编号是从01到N,每个人有若干个孩子,形成一棵族谱树,同一层的人是同辈关系,找出人数最多的那一层并且输出该层的人数。

    思路:层序遍历(BFS思想)标记每个人所在的层数,另开一个数组 ans[level] = num 用于映射层数和人数的关系,树遍历完成后再遍历ans数组就能找到人数最多的那一层。

     1 #include <iostream>
     2 #include <vector>
     3 #include <queue>
     4 using namespace std;
     5  
     6 struct node {
     7     int level = 0;
     8     vector<int> child;
     9 };
    10 vector<node> tree;
    11 vector<int> ans;
    12 void getLevel();
    13 int main()
    14 {
    15     int N, M, ID, K;
    16     scanf("%d%d", &N, &M);
    17     tree.resize(N + 1);
    18     ans.resize(N + 1, 0);
    19     for (int i = 0; i < M; i++) {
    20         scanf("%d%d", &ID, &K);
    21         tree[ID].child.resize(K);
    22         for (int j = 0; j < K; j++)
    23             scanf("%d", &tree[ID].child[j]);
    24     }
    25     getLevel();
    26     int level = 0, num = 0;
    27     for (int i = 0; i < ans.size(); i++) {
    28         if (num < ans[i]) {
    29             num = ans[i];
    30             level = i;
    31         }
    32     }
    33     printf("%d %d
    ", num, level);
    34     return 0;
    35 }
    36  
    37 void getLevel() {
    38     int ID = 1;
    39     queue<int> Q;
    40     tree[ID].level = 1;
    41     Q.push(ID);
    42     while (!Q.empty()) {
    43         ID = Q.front();
    44         ans[tree[ID].level]++;
    45         Q.pop();
    46         int childID;
    47         for (int i = 0; i < tree[ID].child.size(); i++) {
    48             childID = tree[ID].child[i];
    49             tree[childID].level = tree[ID].level + 1;
    50             Q.push(childID);
    51         }
    52     }
    53 }
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  • 原文地址:https://www.cnblogs.com/yinhao-ing/p/11068325.html
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