B. Heidi and Library (medium)
time limit per test
10 seconds
memory limit per test
256 megabytes
input
stdin
output
stdout

Whereas humans nowadays read fewer and fewer books on paper, book readership among marmots has surged. Heidi has expanded the library and is now serving longer request sequences.

Input

Same as the easy version, but the limits have changed: 1 ≤ n, k ≤ 400 000.

Output

Same as the easy version.

Examples
Input
4 100
1 2 2 1
Output
2
Input
4 1
1 2 2 1
Output
3
Input
4 2
1 2 3 1
Output
3