Problem Statement

Snuke has a permutation $(P_0,P_1,\cdots,P_{N-1})$ of $(0,1,\cdots,N-1)$.

Now, he will perform the following operation exactly once:

• Choose $K$ consecutive elements in $P$ and sort them in ascending order.

Find the number of permutations that can be produced as $P$ after the operation.

Constraints

• $2 \leq N \leq 200000$
• $2 \leq K \leq N$
• $0 \leq P_i \leq N-1$
• $P_0,P_1,\cdots,P_{N-1}$ are all different.
• All values in input are integers.

Input

Input is given from Standard Input in the following format:

N K
P_0 P_1 \cdots P_{N-1}

Output

Print the number of permutations that can be produced as $P$ after the operation.