+----+----+----+----+
| 23 | | | |
+----+----+----+----+
| | | 64 | |
+----+----+----+----+
| | N | | |
+----+----+----+----+
| | | |101 |
+----+----+----+----+
In the 4x4 grid provided above:
- Each the 16 values appearing in the 16 cells is a positive integer.
- The 4 values corresponding to each of the 4 rows are in arithmetic sequence.
- The 4 values corresponding to each of the 4 columns are in arithmetic sequence.
Determine the total number of
distinct positive integer values that N can assume.
(In reply to
Solution by Larry)
With the additional constraint, which I missed, that all integers in the grid must be positive, the number of possible values for N is finite.
N is still given by the equation:
N = 135 - 5a, but with -7 <= a <= 19.
So that is 27 values for N in {40, 45, ..., 165, 170}
|
|
Posted by Larry
on 2023-02-12 15:56:05 |
re: Solution with correction
