PUZZLE IBM-031
75 integers in [1,230]
IBM Research · Ponder This · 2000-11
IBM Ponder This #031 · November 2000
We gave you a difficult puzzle last month.
This month's will be easier.
Part A:
Select 75 integers between 1 and 230 (inclusive) such that no
two of them differ by exactly 5, 6, or 11.
Part B:
Show that one cannot select 76 integers satisfying the same requirements.
Solution
Best opened after a real attemptTo be added.