CF1486D.Max Median

普及/提高-

通过率:0%

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题目描述

You are a given an array aa of length nn . Find a subarray a[l..r]a[l..r] with length at least kk with the largest median.

A median in an array of length nn is an element which occupies position number n+12\lfloor \frac{n + 1}{2} \rfloor after we sort the elements in non-decreasing order. For example: median([1,2,3,4])=2median([1, 2, 3, 4]) = 2 , median([3,2,1])=2median([3, 2, 1]) = 2 , median([2,1,2,1])=1median([2, 1, 2, 1]) = 1 .

Subarray a[l..r]a[l..r] is a contiguous part of the array aa , i. e. the array al,al+1,,ara_l,a_{l+1},\ldots,a_r for some 1lrn1 \leq l \leq r \leq n , its length is rl+1r - l + 1 .

输入格式

The first line contains two integers nn and kk ( 1kn21051 \leq k \leq n \leq 2 \cdot 10^5 ).

The second line contains nn integers a1,a2,,ana_1, a_2, \ldots, a_n ( 1ain1 \leq a_i \leq n ).

输出格式

Output one integer mm — the maximum median you can get.

输入输出样例

  • 输入#1

    5 3
    1 2 3 2 1

    输出#1

    2
  • 输入#2

    4 2
    1 2 3 4

    输出#2

    3

说明/提示

In the first example all the possible subarrays are [1..3][1..3] , [1..4][1..4] , [1..5][1..5] , [2..4][2..4] , [2..5][2..5] and [3..5][3..5] and the median for all of them is 22 , so the maximum possible median is 22 too.

In the second example median([3..4])=3median([3..4]) = 3 .

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