Description

Countdown

Design a hardware module that counts countdown sequences in an array. A countdown of length K starting at position i means arr[i]=K, arr[i+1]=K-1, ..., arr[i+K-1]=1. Find all such countdown sequences and their positions.

Example: For [7,4,3,2,1,4,3,2,1] with k=4, find countdown sequences of length 4: [4,3,2,1] starting at position 1 and position 5.

Source: Google Kickstart 2020 Round C - Problem A: Countdown

Input

a

Stream of 32-bit Unsigned Integer
Array of countdown numbers.

k

32-bit Unsigned Integer
Countdown sequence length.

Output

32-bit Unsigned Integer
Number of complete countdown sequences.