For a given natural number , construct a set of points on the Cartesian plane with integer coordinates such that all pairwise distances between points are distinct.
The only line of the input file contains a natural number (N \leq 200) — the number of points in the set.
Print the coordinates of the constructed set of points (each point should be on a separate line, and its coordinates separated by a space). The absolute value of each coordinate should not exceed . It is guaranteed that such a set exists. If there are multiple possible sets, you may output any of them.
Example 1