DMOPC '15 Contest 6 P5 - A Classic Problem

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Points: 10
Time limit: 1.2s
Memory limit: 256M
Author:
FatalEagle
Problem type
Allowed languages
Ada, Assembly, Awk, Brain****, C, C#, C++, COBOL, CommonLisp, D, Dart, F#, Forth, Fortran, Go, Groovy, Haskell, Intercal, Java, JS, Kotlin, Lisp, Lua, Nim, ObjC, OCaml, Octave, Pascal, Perl, PHP, Pike, Prolog, Python, Racket, Ruby, Rust, Scala, Scheme, Sed, Swift, TCL, Text, Turing, VB, Zig

Given an array with N elements, find the number of subarrays S such that \max(S) - \min(S) \le K.

Input Specification

The first line will have space-separated N (1 \le N \le 3 \times 10^6) and K (0 \le K \le N).
The second line will have the array, with each element being between 0 and N, inclusive.

Output Specification

Output the number of distinct subarrays that satisfy the condition. Two subarrays are different if they occupy a different range of elements, even if the elements themselves are the same.

Sample Input

5 2
0 3 2 1 4

Sample Output

8

Comments


  • 4
    bobbotboy  commented on March 1, 2016, 11:58 p.m.

    Can we assume these subarrays are contiguous?


  • 0
    kobortor  commented on March 1, 2016, 5:49 p.m.

    are all the elements unique?


    • 13
      pyrexshorts  commented on March 2, 2016, 1:26 p.m.

      Can confirm they're not.


    • -1
      bobhob314  commented on March 1, 2016, 8:46 p.m. ← edited

      Each element being between 0 and N, inclusive.

      Edit: I misread haha, this quote has nothing to to with your question; sorry Joey ^u^


    • 1
      moladan123  commented on March 1, 2016, 6:09 p.m. ← edited

      Two subarrays are different if they occupy a different range of elements, even if the elements themselves are the same.