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
题意:建立一棵祖先树,每一层代表一代人,求最多那代人的人数和是哪一代人,根为第一代。
思路:用DFS遍历的同时使用height来保存第几代,并使用数组记录每代人数(下标为第几代),最后遍历数组,求出最大值并输出值和下标。
#include<iostream>
#include<vector>
using namespace std;
vector<int> vec[100];
bool visit[100] = {false};
int cnt_gen[100];
void dfs(int start, int height){
cnt_gen[height]++;
for(int i = 0; i < vec[start].size(); i++){
if(!visit[vec[start][i]]){
visit[vec[start][i]] = true;
dfs(vec[start][i], height + 1);
}
}
}
int main(){
int n, m;
cin >> n >> m;
for(int i = 0; i < m; i++){
int id, k;
scanf("%d %d", &id, &k);
for(int j = 0; j < k; j++){
int temp;
scanf("%d", &temp);
vec[id].push_back(temp);
}
}
dfs(1, 1);
int max_cnt = -1;
int max_level = -1;
for(int i = 1; i < 100; i++){
if(cnt_gen[i] == 0){
break;
}
if(max_cnt < cnt_gen[i]){
max_cnt = cnt_gen[i];
max_level = i;
}
}
printf("%d %d\n", max_cnt, max_level);
return 0;
}