Gondor Football Championship is in full swing. Unfortunately, Gandalf
missed the beginning of the championship (he had to visit the Mines of Moria because a sleeping dragon was found there). Upon his return, he learned from the omnipresent hobbits that his favorite team Dinamo had already scored K balls
and missed L balls. Help Gandalf to determine the maximal and minimal numbers of points that Dinamo could earn. In Gondor, if a team wins a match, it gets 3 points, for a draw it gets 1 point, and in the case of defeat the team gets 0 points.
Input
There are three integers in one line separated with a space:
K, L, and N. Here K is the number of scored balls, L is the number of missed balls, and N is the number of matches that have been played by Dinamo (0 ≤ K, L ≤ 109, 1 ≤ N ≤ 109).
Output
Output the maximal and minimal numbers of points that Dinamo could
earn. The numbers must be separated with a space.
Samples
input | output |
---|
3 2 2
| 4 3 |
3 1 2
| 6 3
|
3 0 4
| 10 6
|
3 0 1
| 3 3
|
Problem Author: Sergey Pupyrev
Problem Source: VIII USU Open Personal Contest (March 3, 2007)