ROSECODE 242
Weighted triangles
5 points are placed on a circle
Consecutive integers 1 to 6 are placed on the center of the circle and on each point.
Joining each consecutive pair of points with the center, we define 5 triangles.
The sums of integers for each triangle are: 12, 9, 8, 10, 9.
You can guess that the integers are respectively (center first, points clock-wise) : 2, 4, 6, 1, 5, 3.
Now, we are using 11 points.
The sums inside the triangles are respectively: 26,22,26,22,14,16,22,26,22,24
Find the values for each point (same order as in the example).
There are more than one solution.
Answer format: comma separated lists between slashs (in lexicographic order)
Example: 1,2,3/3,2,1
Consecutive integers 1 to 6 are placed on the center of the circle and on each point.
Joining each consecutive pair of points with the center, we define 5 triangles.
The sums of integers for each triangle are: 12, 9, 8, 10, 9.
You can guess that the integers are respectively (center first, points clock-wise) : 2, 4, 6, 1, 5, 3.
Now, we are using 11 points.
The sums inside the triangles are respectively: 26,22,26,22,14,16,22,26,22,24
Find the values for each point (same order as in the example).
There are more than one solution.
Answer format: comma separated lists between slashs (in lexicographic order)
Example: 1,2,3/3,2,1