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In the first test run, data points numbers 4,5,6 are respectively (7,6), (8,2), (7,3).
Moving from (7,6) to (8,2) diagonally first bypasses (7,3) which could be reached with no additional distance travelled (diagonally last in that case).
To be absolutely sure, we'd need to make a solution which went to (7,3) on the way to (8,2) and see if that is permitted or not. In an ideal world that would be a higher-rated solution but I suspect it would fail the test.
Let us know if you decide to try it. :-)