Two-wheelers and four-wheelers

A parking lot has V vehicles with W wheels in total. Every vehicle is a two-wheeler or a four-wheeler. Print the number of two-wheelers and four-wheelers. If no such split is possible, print INVALID.

Reported in: TCS NQT (Sep 2023) (memory-based)

Input

One line: V and W.

Output

Two numbers (two-wheelers, four-wheelers), or INVALID.

Constraints

0 ≤ V, W ≤ 10^9.

Example 1

Input:
200 540

Output:
130 70

Example 2

Input:
3 5

Output:
INVALID

Hint: Four-wheelers = (W − 2V) / 2. It must be a whole number between 0 and V.

All coding practice