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KMEDIAN - Above the Median

Farmer John has lined up his N (1 ≤ N ≤ 100,000) cows in a row to measure their heights; cow i has height H_i (1 ≤ H_i ≤ 1,000,000,000) nanometers--FJ believes in precise measurements! He wants to take a picture of some contiguous subsequence of the cows to submit to a bovine photography contest at the county fair.

The fair has a very strange rule about all submitted photos: a photograph is only valid to submit if it depicts a group of cows whose median height is at least a certain threshold X (1 ≤ X ≤ 1,000,000,000).

For purposes of this problem, we define the median of an array A[0...K] to be A[ceiling(K/2)] after A is sorted, where ceiling(K/2) gives K/2 rounded up to the nearest integer (or K/2 itself, it K/2 is an integer to begin with). For example the median of {7, 3, 2, 6} is 6, and the median of {5, 4, 8} is 5.

Please help FJ count the number of different contiguous subsequences of his cows that he could potentially submit to the photography contest.

Input

  • Line 1: Two space-separated integers: N and X.
  • Lines 2..N+1: Line i+1 contains the single integer H_i.

Output

  • Line 1: The number of subsequences of FJ's cows that have median at least X. Note this may not fit into a 32-bit integer.

Example

Input:
4 6
10
5
6
2


Output:
7

Explain: There are 10 possible contiguous subsequences to consider. Of these, only 7 have median at least 6. They are {10}, {6}, {10, 5}, {5, 6}, {6, 2}, {10, 5, 6}, {10, 5, 6, 2}.


Được gửi lên bởi:khanhptnk
Ngày:2011-11-19
Thời gian chạy:0.302s
Giới hạn mã nguồn:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Ngôn ngữ cho phép:Tất cả ngoại trừ: ASM64 GOSU PERL6 PYPY RUST SED
Nguồn bài:USACO November 2011

hide comments
2019-06-08 19:08:39
sao k chạy dịch lỗi nhể =(( làm AC ngay phát đầu cảm giác nó khác khác, khó khó chịu =((
2019-06-08 19:07:35
1 đấm AC :((
2017-06-26 09:46:46
sao bài này không bị hidden.
2016-05-14 06:42:21
oh shit khai báo thiếu mảng :v
2016-04-18 11:25:25
Bách yêu Khánh Lâm
2016-04-18 09:35:54


Last edit: 2016-04-18 11:01:59
2015-09-05 15:20:55
Tham khảo lời giải tại http://vnspoj.blogspot.com/p/blog-page_7.html
2015-08-02 09:03:06 N�ng D�n John
Vật vã, hichic !!! [nongdanjohn]
2015-08-01 17:22:09 N�ng D�n John
==))))))
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