Astronomers often examine star maps where stars are represented by
points on a plane and each star has Cartesian coordinates. Let the level
of a star be an amount of the stars that are not higher and not to the
right of the given star. Astronomers want to know the distribution of
the levels of the stars.
For example, look at the map shown on the figure above. Level of the
star number 5 is equal to 3 (it's formed by three stars with a numbers
1, 2 and 4). And the levels of the stars numbered by 2 and 4 are 1. At
this map there are only one star of the level 0, two stars of the level
1, one star of the level 2, and one star of the level 3.
You are to write a program that will count the amounts of the stars of
each level on a given map.输入描述
The first line of the input file contains a number of stars N (1输出描述
The output should contain N lines, one number per line. The first line
contains amount of stars of the level 0, the second does amount of stars
of the level 1 and so on, the last line contains amount of stars of the
level N-1.输入例子
5
1 1
5 1
7 1
3 3
5 5
输出例子
1
2
1
1
0
Hint
This problem has huge input data,use scanf() instead of
cin to read data to avoid time limit exceed.