Needs more test cases to eliminate the the trivial non-solution that exploits the lack of test cases.
This problem needs more test cases. My solution probably is not general, but it works without using all of its tests.
An interesting test case, for instance, would be (that my solution and many others would fail):
p0 = [1, 0, 0];
p1 = [ -1, 0, 0];
p2 = [ 0, 1, 0.5];
p3 = [ 0, -1, 0.5];
t0 = 0;
t1 = 1;
d = 1;
ok = false;
At half-way their path, asteroid and spacecraft will be at distance 0.5 of each other, violating the safe distance d=1, and without crossing paths.
As you can see from Solution 1310620, the test suite is completely inadequate for this problem.
It dseon't mettar waht oedrr the lrettes in a wrod are.
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