AMO · 2027 · Grades 6-7 · Self-study SET 32 Question 5

Mel sells jumbo cheesy pretzel nuggets in a 4-nugget “diet” size, a 7-nugget “share” size and a 17-nugget “party” size. What is the greatest total number of nuggets that cannot be purchased? For example, 8 nuggets can be purchased, but 9 cannot. Assume any nonnegative whole number of each pack may be bought, and packs cannot be split.

**Input:** Enter the integer only, without units.