#P277B. Set of Points

    ID: 2617 Type: RemoteJudge 2000ms 256MiB Tried: 0 Accepted: 0 Difficulty: (None) Uploaded By: Tags>constructive algorithmsgeometry*2300

Set of Points

No submission language available for this problem.

Description

Convexity of a set of points on the plane is the size of the largest subset of points that form a convex polygon. Your task is to build a set of n points with the convexity of exactly m. Your set of points should not contain three points that lie on a straight line.

The single line contains two integers n and m (3 ≤ m ≤ 100, m ≤ n ≤ 2m).

If there is no solution, print "-1". Otherwise, print n pairs of integers — the coordinates of points of any set with the convexity of m. The coordinates shouldn't exceed 108 in their absolute value.

Input

The single line contains two integers n and m (3 ≤ m ≤ 100, m ≤ n ≤ 2m).

Output

If there is no solution, print "-1". Otherwise, print n pairs of integers — the coordinates of points of any set with the convexity of m. The coordinates shouldn't exceed 108 in their absolute value.

Samples

4 3

0 0
3 0
0 3
1 1

6 3

-1

6 6

10 0
-10 0
10 1
9 1
9 -1
0 -2

7 4

176166 6377
709276 539564
654734 174109
910147 434207
790497 366519
606663 21061
859328 886001