PAT 1094 The Largest Generation[bfs][一般]

时间:2023-03-09 09:20:41
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[];
map<int,int> mp;
int main() {
int n,m;
queue<int> que;
scanf("%d %d",&n,&m);
int id,k,temp;
for(int i=;i<m;i++){
scanf("%d %d",&id,&k);
for(int j=;j<k;j++){
scanf("%d",&temp);
tree[id].push_back(temp);
}
}
que.push();
que.push(-);
mp[]=;
int level=;
while(!que.empty()){
int top=que.front();que.pop();
while(top!=-){
for(int i=;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(-);
}
}
int maxs=;
id=;
for(int i=;i<=level;i++){
if(mp[i]>maxs){
maxs=mp[i];
id=i;
}
}
printf("%d %d",maxs,id); return ;
}

//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[];
int book[];
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 = ; i < v[index].size(); i++)
dfs(v[index][i], level+);
}
int main() {
int n, m, a, k, c;
scanf("%d %d", &n, &m);
for(int i = ; i < m; i++) {
scanf("%d %d",&a, &k);
for(int j = ; j < k; j++) {
scanf("%d", &c);
v[a].push_back(c);
}
}
dfs(, );
int maxnum = , maxlevel = ;
for(int i = ; i < ; i++) {
if(book[i] > maxnum) {
maxnum = book[i];
maxlevel = i;
}
}
printf("%d %d", maxnum, maxlevel);
return ;
}

//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!