zoj 3790 Consecutive Blocks 离散化+二分

本文介绍了一种算法,用于解决给定一系列彩色方块时,在允许删除一定数量的方块后,如何重新排列以获得最大长度的连续同色方块的问题。通过离散化将相同颜色的方块下标放入同一容器,并遍历容器来找到最优解。

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There are N (1 ≤ N ≤ 105) colored blocks (numbered 1 to N from left to right) which are lined up in a row. And the i-th block's color is Ci (1 ≤ Ci ≤ 109). Now you can remove at most K (0 ≤ KN) blocks, then rearrange the blocks by their index from left to right. Please figure out the length of the largest consecutive blocks with the same color in the new blocks created by doing this.

For example, one sequence is {1 1 1 2 2 3 2 2} and K=1. We can remove the 6-th block, then we will get sequence {1 1 1 2 2 2 2}. The length of the largest consecutive blocks with the same color is 4.

Input

Input will consist of multiple test cases and each case will consist of two lines. For each test case the program has to read the integers N and K, separated by a blank, from the first line. The color of the blocks will be given in the second line of the test case, separated by a blank. The i-th integer means Ci.

Output

Please output the corresponding length of the largest consecutive blocks, one line for one case.

Sample Input
8 1
1 1 1 2 2 3 2 2
Sample Output
4

题目大意:给一串连续的数字,最多可以删除k个,求相同数字连续个数最大的值。
可以离散化一下把相同数字的下标Push到同一个容器中,再去每个容器中暴力求最大值。
 1 #include <iostream>
 2 #include <cstdio>
 3 #include <cstdio>
 4 #include <vector>
 5 #include <algorithm>
 6 using namespace std;
 7 
 8 const int maxn=100010;
 9 vector<int> v[maxn];
10 int f[maxn],X;
11 int test[maxn];
12 
13 int Max(int a,int b){ return a>b?a:b;}
14 
15 int fun(int a,int b)
16 {
17     int i,j,len=v[a].size();
18     for(i=len;i>=2;i--)
19     {
20         for(j=0;j<=len-i;j++)
21         {
22             if(v[a][i+j-1]-v[a][j]+1-i<=b)
23                 return i;
24         }
25     }
26     return 1;
27 }
28 
29 int main()
30 {
31     int n,k,i,max;
32     while(~scanf("%d %d",&n,&k))
33     {
34         for(i=0;i<n;i++) v[i].clear();
35         for(i=0;i<n;i++) 
36         {
37             scanf("%d",f+i);
38             test[i]=f[i];
39         }
40         sort(test,test+n);
41         X=unique(test,test+n)-test;
42         for(i=0;i<n;i++)
43         {
44             int t=lower_bound(test,test+X,f[i])-test;
45             v[t].push_back(i);
46         }
47         max=1;
48         for(i=0;i<X;i++)
49         {
50             max=Max(max,fun(i,k));
51         }
52         printf("%d\n",max);
53     }
54     return 0;
55 }

 

转载于:https://www.cnblogs.com/xiong-/p/3765340.html

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