B'Snow Queen told Kay to form a word "eternity" using pieces of ice. Kay is eager to deal with the task, because he will then become free, and Snow Queen will give him all the world and a pair of skates. Behind the palace of the Snow Queen there is an infinite field consisting of cells. There are n pieces of ice spread over the field, each piece occupying exactly one cell and no two pieces occupying the same cell. To estimate the difficulty of the task Kay looks at some squares of size k xe2 x80 x89 xc3 x97 xe2 x80 x89k cells, with corners located at the corners of the cells and sides parallel to coordinate axis and counts the number of pieces of the ice inside them. This method gives an estimation of the difficulty of some part of the field. However, Kay also wants to estimate the total difficulty, so he came up with the following criteria: for each x (1 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89x xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89n) he wants to count the number of squares of size k xe2 x80 x89 xc3 x97 xe2 x80 x89k, such that there are exactly x pieces of the ice inside. Please, help Kay estimate the difficulty of the task given by the Snow Queen. The first line of the input contains two integers n and k (1 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89n xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89100 xe2 x80 x89000, 1 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89k xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89300) -- the number of pieces of the ice and the value k, respectively. Each of the next n lines contains two integers xi and yi ( xe2 x80 x89- xe2 x80 x89109 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89xi, xe2 x80 x89yi xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89109) -- coordinates of the cell containing i-th piece of the ice. It 's guaranteed, that no two pieces of the ice occupy the same cell. Print n integers: the number of squares of size k xe2 x80 x89 xc3 x97 xe2 x80 x89k containing exactly 1, xe2 x80 x892, xe2 x80 x89..., xe2 x80 x89n pieces of the ice. '...