The file house_builder_backtrace.f is a Fortran program for solving the house building problem as described by Dr. James Grime (aka singingbanana).
One of the many 17 point solutions is
0.029
0.542
0.852
0.270
0.710
0.423
0.926
0.138
0.620
0.343
0.777
0.207
0.485
0.971
0.092
0.667
0.382
There are no 18 point solutions.
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