HDU 5437 Alisha’s Party(优先队列+模拟)——2015 ACM/ICPC Asia Regional Changchun Online

本题描述了公主Alisha如何在其聚会中管理朋友入场的问题,通过使用优先队列进行模拟,确保高价值礼物的持有者优先入场。

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Alisha’s Party

Time Limit: 3000/2000 MS (Java/Others)    Memory Limit: 131072/131072 K (Java/Others)


Problem Description
Princess Alisha invites her friends to come to her birthday party. Each of her friends will bring a gift of some value  v , and all of them will come at a different time. Because the lobby is not large enough, Alisha can only let a few people in at a time. She decides to let the person whose gift has the highest value enter first.

Each time when Alisha opens the door, she can decide to let  p  people enter her castle. If there are less than  p  people in the lobby, then all of them would enter. And after all of her friends has arrived, Alisha will open the door again and this time every friend who has not entered yet would enter.

If there are two friends who bring gifts of the same value, then the one who comes first should enter first. Given a query  n  Please tell Alisha who the  nth  person to enter her castle is.
 

Input
The first line of the input gives the number of test cases,  T  , where  1T15 .

In each test case, the first line contains three numbers  k,m  and  q  separated by blanks.  k  is the number of her friends invited where  1k150,000  .  The door would open m times before all Alisha’s friends arrive where  0mk . Alisha will have  q  queries where  1q100 .

The  ith  of the following  k  lines gives a string  Bi , which consists of no more than  200  English characters, and an integer  vi 1vi108 , separated by a blank.  Bi  is the name of the  ith   person coming to Alisha’s party and Bi brings a gift of value  vi .

Each of the following  m  lines contains two integers  t(1tk)     and  p(0pk)  separated by a blank. The door will open right after the  tth  person arrives, and Alisha will let  p  friends enter her castle.

The last line of each test case will contain  q  numbers  n1,...,nq      separated by a space, which means Alisha wants to know who are the  n1th,...,nqth       friends to enter her castle.

Note: there will be at most two test cases containing  n>10000 .
 

Output
For each test case, output the corresponding name of Alisha’s query, separated by a space.
 

Sample Input
  
1 5 2 3 Sorey 3 Rose 3 Maltran 3 Lailah 5 Mikleo 6 1 1 4 2 1 2 3
 

Sample Output
  
Sorey Lailah Rose
 

Source
 
/*********************************************************************/

题意:Princess Alisha邀请k个朋友来参加聚会,但是由于空间有限,Princess Alisha会打开m次门,每次会在第ti个人到的时候打开门,按要求(所带礼物价值高的先进,价值相同的先到先进)邀请等待中的pi个人进房间。等到所有人都到了之后,门会再次打开,剩下没有进房间的朋友会按照之前的方法依次进房间。q次询问,每次询问问第ni个进房间的人是谁

解题思路:此题坑的地方应该算是没告诉我们t是随机给出的,并不是按递增(或非递减)的顺序给出的,我们只需利用优先队列进行模拟就可以了,当然优先队列的优先级需要改一下,可以参考STL 优先队列 定义 优先级

另外对于q次询问,我们可以将结果记录下来,这样可以降低时间复杂度,毕竟题目给的内存限制足够大

#include<stdio.h>
#include<queue>
#include<algorithm>
#include<string.h>
using namespace std;
struct node
{    
    int v,id;
    char n[205];    
    bool operator < (const node &a) const   
    {    
        if(v!=a.v)
               return v<a.v;//最大值优先 
        return id>a.id;//最小值优先   
    }    
}s[150005];
struct person
{
    int t,p;
}u[150005];
bool cmp(person x,person y)
{
    return x.t<y.t;
}
int f_min(int a,int b)
{
    return a<b?a:b;
}
int main()
{
    int i,j,l,T,k,m,q,n,sum;
    scanf("%d",&T);
    while(T--)
    {
        priority_queue<node> d;
        scanf("%d%d%d",&k,&m,&q);
        for(i=0;i<k;i++)
        {
            scanf("%s%d",s[i].n,&s[i].v);
            s[i].id=i;
        }
        for(i=0;i<m;i++)
            scanf("%d%d",&u[i].t,&u[i].p);
        sort(u,u+m,cmp);
        for(sum=i=j=l=0;i<m;i++)
        {
            sum=f_min(sum+u[i].p,u[i].t);
            while(j<u[i].t&&j<k)
                d.push(s[j++]);
            while(l<sum&&!d.empty()&&l<k)
            {//printf("%s",d.top().n);
                strcpy(s[l++].n,d.top().n);
                d.pop();
            }
        }
        while(j<k)
            d.push(s[j++]);
        while(l<k&&!d.empty())
        {    
            strcpy(s[l++].n,d.top().n);
            d.pop();
        }
        for(i=0;i<q;i++)
        {
            scanf("%d",&n);
            printf("%s%c",s[n-1].n,i==q-1?'\n':' ');
        }
    }
    return 0;
}
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