CF1313A Fast Food Restaurant
Description
Tired of boring office work, Denis decided to open a fast food restaurant.
On the first day he made $ a $ portions of dumplings, $ b $ portions of cranberry juice and $ c $ pancakes with condensed milk.
The peculiarity of Denis's restaurant is the procedure of ordering food. For each visitor Denis himself chooses a set of dishes that this visitor will receive. When doing so, Denis is guided by the following rules:
- every visitor should receive at least one dish (dumplings, cranberry juice, pancakes with condensed milk are all considered to be dishes);
- each visitor should receive no more than one portion of dumplings, no more than one portion of cranberry juice and no more than one pancake with condensed milk;
- all visitors should receive different sets of dishes.
What is the maximum number of visitors Denis can feed?
Input Format
N/A
Output Format
N/A
Explanation/Hint
In the first test case of the example, Denis can feed the first visitor with dumplings, give the second a portion of cranberry juice, and give the third visitor a portion of cranberry juice and a pancake with a condensed milk.
In the second test case of the example, the restaurant Denis is not very promising: he can serve no customers.
In the third test case of the example, Denise can serve four visitors. The first guest will receive a full lunch of dumplings, a portion of cranberry juice and a pancake with condensed milk. The second visitor will get only dumplings. The third guest will receive a pancake with condensed milk, and the fourth guest will receive a pancake and a portion of dumplings. Please note that Denis hasn't used all of the prepared products, but is unable to serve more visitors.