13:I[87,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"Header"] 14:I[1742,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"ProblemView"] 15:T6ab,

You are a given an array $$$a$$$ of length $$$n$$$. Find a subarray $$$a[l..r]$$$ with length at least $$$k$$$ with the largest median.

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

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

Input

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

The second line contains $$$n$$$ integers $$$a_1, a_2, \ldots, a_n$$$ ($$$1 \leq a_i \leq n$$$).

Output

Output one integer $$$m$$$ — the maximum median you can get.

Max Median

Examples