Detect saddle points in a matrix.
So say you have a matrix like so:
1 2 3
|---------
1 | 9 8 7
2 | 5 3 2 <--- saddle point at column 1, row 2, with value 5
3 | 6 6 7
It has a saddle point at column 1, row 2.
It's called a "saddle point" because it is greater than or equal to every element in its row and less than or equal to every element in its column.
A matrix may have zero or more saddle points.
Your code should be able to provide the (possibly empty) list of all the saddle points for any given matrix.
The matrix can have a different number of rows and columns (Non square).
Note that you may find other definitions of matrix saddle points online, but the tests for this exercise follow the above unambiguous definition.
The Scala exercises assume an SBT project scheme. The exercise solution source should be placed within the exercise directory/src/main/scala. The exercise unit tests can be found within the exercise directory/src/test/scala.
To run the tests simply run the command sbt test
in the exercise directory.
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J Dalbey's Programming Practice problems http://users.csc.calpoly.edu/~jdalbey/103/Projects/ProgrammingPractice.html
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