1114. Family Property (25)
This time, you are supposed to help us collect the data for family-owned property. Given each person's family members, and the estate(房产)info under his/her own name, we need to know the size of each family, and the average area and number of sets of their real estate.
Input Specification:
Each input file contains one test case. For each case, the first line gives a positive integer N (<=1000). Then N lines follow, each gives the infomation of a person who owns estate in the format:
ID Father Mother k Child1 ... Childk M_estate Area
where ID is a unique 4-digit identification number for each person; Father and Mother are the ID's of this person's parents (if a parent has passed away, -1 will be given instead); k (0<=k<=5) is the number of children of this person; Childi's are the ID's of his/her children; M_estate is the total number of sets of the real estate under his/her name; and Area is the total area of his/her estate.
Output Specification:
For each case, first print in a line the number of families (all the people that are related directly or indirectly are considered in the same family). Then output the family info in the format:
ID M AVG_sets AVG_area
where ID is the smallest ID in the family; M is the total number of family members; AVG_sets is the average number of sets of their real estate; and AVG_area is the average area. The average numbers must be accurate up to 3 decimal places. The families must be given in descending order of their average areas, and in ascending order of the ID's if there is a tie.
Sample Input:10 6666 5551 5552 1 7777 1 100 1234 5678 9012 1 0002 2 300 8888 -1 -1 0 1 1000 2468 0001 0004 1 2222 1 500 7777 6666 -1 0 2 300 3721 -1 -1 1 2333 2 150 9012 -1 -1 3 1236 1235 1234 1 100 1235 5678 9012 0 1 50 2222 1236 2468 2 6661 6662 1 300 2333 -1 3721 3 6661 6662 6663 1 100Sample Output:
3 8888 1 1.000 1000.000 0001 15 0.600 100.000 5551 4 0.750 100.000分析:用图(并查集)结构存储输入;用bfs遍历计算。
细节:图的边为无向边;
(以下代码比较丑,还是完整定义图结构比较迅速方便)
#include <iostream>
#include <string>
#include <cstdio>
#include <cmath>
#include <queue>
#include <vector>
#include <functional>
#define rep(i,j,k) for(int i=j;i<=k;++i)
const int Max=10000;
using namespace std;
class node
{
public:
int id;
int sets;
int area;
vector<int> family;
node(){
id=sets=area=0;
};
};
struct res
{
int minres;
float set,are;
int sum;
friend bool operator < (const res& a, const res& b){
return a.are<b.are || (a.are==b.are && a.minres>b.minres);
}
};
vector<int> root;
node estate[Max];
int visited[Max];
priority_queue<res> result;
void create(int n)
{
while (n--){
node x;
int id,f,m,k;
scanf("%d %d %d %d",&id, &f, &m, &k);
root.push_back(id);
x.id=id;
x.family.push_back(f);
x.family.push_back(m);
estate[f].family.push_back(id); // f==-1时仍然可以执行
estate[m].family.push_back(id); //
while (k--){
int c;
scanf("%d",&c);
x.family.push_back(c);
estate[c].family.push_back(id);
}
int s,a;
scanf("%d %d",&s, &a);
x.sets=s;
x.area=a;
estate[id]=x;
}
}
void bfs(int root)
{
queue<int> q;
int minres=10000;
int sum=0;
float set=0,are=0;
q.push(root);
visited[root]=1;
int v;
while(!q.empty()){
v=q.front();
if (v<minres) minres=v;
++sum;
set+=estate[v].sets;
are+=estate[v].area;
int size=estate[v].family.size();
rep(i,0,size-1){
if (estate[v].family[i]==-1) continue;
if (visited[estate[v].family[i]]!=1){
visited[estate[v].family[i]]=1;
q.push(estate[v].family[i]);
}
}
q.pop();
}
res t;
t.minres=minres;
t.set=set/sum;
t.are=are/sum;
t.sum=sum;
result.push(t);
}
void major()
{
rep(i,1,root.size()){
if (visited[root[i-1]]!=1){
bfs(root[i-1]);
}
}
cout<<result.size()<<endl;
while (!result.empty()){
res t=result.top();
printf("%04d %d %.3f %.3f\n", t.minres, t.sum, t.set, t.are);
result.pop();
}
}
int main()
{
// freopen("test.txt","r",stdin);
int n;
cin>>n;
create(n);
major();
return 0;
}
本文介绍了一个用于统计家庭成员及家庭财产平均面积和套数的算法。通过构建图结构存储家庭关系,并采用广度优先搜索算法遍历计算每个家庭的数据。
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