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
这道题考察给定一棵树,求最大人口
#include "iostream" #include "vector" #include "map" using namespace std; int N, M, parent, tmp_num; struct node { int level = -1; vector<int> child; }n[999999]; void dfs(int root, int level) { n[root].level = level; for(int i = 0; i < n[root].child.size(); i++) dfs(n[root].child[i], level + 1); } map<int, int> m; int main() { scanf("%d%d", &N, &M); while(M--) { scanf("%d%d", &parent, &tmp_num); n[parent].child.resize(tmp_num); for(int i = 0; i < tmp_num; i++) scanf("%d", &n[parent].child[i]); } dfs(1, 1); for(int i = 1; i <= N; i++) if(n[i].level != -1) m[n[i].level]++; int mk = -1, mv = -1; for(auto it = m.begin(); it != m.end(); it++) if(it->second > mv) { mv = it->second; mk = it->first; } printf("%d %d", mv, mk); return 0; }