레이팅 미적용Little Ivan likes to play Yamb and read Marvel superhero comics. His
favorite superhero is spider-man, a friendly neighbourhood teenager named
Peter Parker who got his superpowers via a radioactive spider bite. Ivan
fantasizes that one day he will be able to jump from one skyscraper to
another, just like spider-man does in the comics. During one such fantasy,
he fell asleep.
In his dream he was no longer named Ivan, his name was Peter Parkour and,
you guessed it, he was able to use his par\(kour^{1}\) skills to jump between skyscrapers. He quickly realized that
there are exactly \(N\) skyscrapers in his surroundings and he somehow knew that \(i\)-th of those skyscrapers
is \(h_{i}\) meters tall. He knows that he is able to jump from the \(i\)-th skyscraper to the \(j\)-th skyscraper if the
remainder when dividing \(h_{i}\) with \(h_{j}\) is equal to \(K\). Help Ivan determine, for every skyscraper, the number
of other skyscrapers he can jump to.
In test cases worth a total of 14 points, it will hold \(1 \le N \le 2\,000\)
In test cases worth an additional 14 points, there will be at most 2 000 skyscrapers of different heights.
In test cases worth an additional 14 points, it will hold \(K = 0\).
The first line contains two integers \(N\) (\(1 \le N \le 300\,000\)) and \(K\) (\(0 \le K < 10^{6}\)) from the task description.
The next line contains \(N\) integers \(h_{i}\) (\(1 \le h_{i} \le 10^{6}\)) from the task description.
In a single line you should output \(N\) space-separated integers such that the \(i\)-th of those integers represents
the number of different skyscrapers on which Peter Parkour can jump on if he jumps from the \(i\)-th
skyscraper.
2 1
5 50 06 3
4 3 12 6 8 20 4 0 0 0 05 1
1 3 5 7 24 1 1 2 0Clarification of the third example:
From the first skyscraper of height 1 Peter can jump on any other skyscraper.
From the second skyscraper of height 3 Peter can jump only on a skyscraper of height 2.
From the third skyscraper of height 5 Peter can jump only on a skyscraper of height 2.
From the fourth skyscraper of height 7 Peter can jump on skyscrapers of heights 2 and 3.
From the fifth skyscraper of height 2 Peter cannot jump on any other skyscraper.
1Internet sensation of 2004., it was in the Bond films, the goal is to get from point A to point B as creatively as possible.