The kth great number

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65768/65768 K (Java/Others) Total Submission(s): 6020 Accepted Submission(s): 2436

Problem Description

Xiao Ming and Xiao Bao are playing a simple Numbers game. In a round Xiao Ming can choose to write down a number, or ask Xiao Bao what the kth great number is. Because the number written by Xiao Ming is too much, Xiao Bao is feeling giddy. Now, try to help Xiao Bao.

Input

There are several test cases. For each test case, the first line of input contains two positive integer n, k. Then n lines follow. If Xiao Ming choose to write down a number, there will be an " I" followed by a number that Xiao Ming will write down. If Xiao Ming choose to ask Xiao Bao, there will be a "Q", then you need to output the kth great number.

Output

The output consists of one integer representing the largest number of islands that all lie on one line.

Sample Input

8 3 I 1 I 2 I 3 Q I 5 Q I 4 Q

Sample Output

1 2 3

Hint

Xiao Ming won't ask Xiao Bao the kth great number when the number of the written number is smaller than k. (1=<k<=n<=1000000).

题意：大致是输入一些数，这个过程中不断询问第k大的数是多少？

因而普通的排序是不行的，所以很好定义为最小堆，最大堆的求解...

但是对堆的求解也有两种，第一种是构造一个k堆，然后再输入数据，不断更新维护这个k堆，我们暂时叫他第k堆吧...

这样的话，一此题给的sample data 为列，

所以红黑树来表示的话就是下面这个了...

为了这，STL multiset....

代码：

 1 #include<iostream>
 2 #include<set>
 3 using namespace std;
 4 
 5 int main()
 6 {
 7     int n,k,i,temp;
 8     char ss[2];
 9     multiset<int> sta;
10     while(scanf("%d%d",&n,&k)!=EOF)
11     {
12         sta.clear();
13         for(i=0;i<n;i++)
14         {
15             scanf("%s",ss);
16             if(*ss=='I')
17             {
18                scanf("%d",&temp);
19                if(i<k) sta.insert(temp);
20                else
21                {
22                    int head=*sta.begin();
23                    if(temp>head)
24                    {
25                      sta.erase(sta.begin());
26                      sta.insert(temp);
27                    }
28                }
29             }
30             else cout<<*(sta.begin())<<endl;
31         }
32     }
33     return 0;
34 }

方法二：

采取传统的最小堆，最大堆求解..

 1 /*最小堆hdu 4006*/
 2 /*@code Gxjun*/
 3 #include<stdio.h>
 4 #include<string.h>
 5 #define maxn 1000002
 6 int heap[maxn],n,k;
 7 void change(int *a ,int *b){
 8     *a^=*b , *b^=*a, *a^=*b;
 9 }
10 void updata_heap(int tol)
11 {
12      if(!(tol&1))  //是偶数数表示完全二叉树
13     {
14         if(heap[tol]<heap[tol>>1])
15            change(&heap[tol],&heap[tol>>1]);
16          tol--;  
17     }
18     for(int i=tol ; i>1 ;i-=2)
19     {
20         if(heap[i]>heap[i-1])
21         {
22             if(heap[i-1]<heap[i>>1])
23                 change(&heap[i-1],&heap[i>>1]);
24         }
25         else
26             if(heap[i]<heap[i>>1])
27                 change(&heap[i],&heap[i>>1]);
28     }
29 }
30 
31 //数据更新
32 void input_heap()
33 {
34     char ss[2];
35     int i,temp;
36     for(i=1 ; i<=k ;i++)
37       scanf("%s %d",ss,&heap[i]);
38       updata_heap(k);
39 
40     for(i=k+1 ;i<=n ;i++)
41     {
42       scanf("%s",ss);
43         if(*ss=='I')
44         {
45           scanf("%d",&temp);
46             if(temp>heap[1])
47             {
48                 heap[1]=temp;
49                 updata_heap(k);
50             }
51         }
52     else 
53         if(*ss=='Q')
54             printf("%dn",heap[1]);
55     }
56 }
57 int main()
58 {
59     /*freopen("test.out","w",stdout);*/
60     while(scanf("%d%d",&n,&k)!=EOF)
61     {
62         /*memset(heap,0,sizeof(int)*(k+2));*/
63         input_heap();
64     }
65     return 0;
66 }

HDUOJ----4006The kth great number(最小堆...)

The kth great number