Please note that the memory limit differs from the standard.
You really love to listen to music. During the each of next s days you will listen to exactly m songs from the playlist that consists of exactly n songs. Let's number the songs from the playlist with numbers from 1 to n, inclusive. The quality of song number i is ai.
On the i-th day you choose some integer v (li≤v≤ri) and listen to songs number v,v+1,...,v+m-1. On the i-th day listening to one song with quality less than qi increases your displeasure by exactly one.
Determine what minimum displeasure you can get on each of the s next days.
Output
Print exactly
s integers
ans1,ans2,...,anss, where
ansi is the minimum displeasure that you can get on day
i.