Problem 45373. Hanging cable - 01

David,
The solution here is a catenary curve, which is not a parabola ... but even with that in mind, I am getting different answers.

I put it there thinking this way...
if the ground clearance > height -- that is an invalid scenario.
but if the height of the poles and ground clearance are equal--then u cannot get a parabola type curve(more precisely a catenary curve) i.e. a hanging cable if u make d=length of the cable.
yet still I think d=length can be considered as the right solution.
is that the answer u're getting - @william?

If you accept a parabola as the solution, then the correct answer to problem 3 is d=length=200. David is pointing out that the answer given in the test suite is 0, not 200. From my point of view, though, the parabola is not a correct solution. The catenary curve looks superficially like a parabola, but it is significantly different. In fact, only 2 of the 3 input parameters are required to specify the catenary curve. In problem 3, for example, if you specify the pole heigth and the clearance as being the same, there is no solution; but if you specify the cable length and the clearance, there is a solution and it is less than the cable length.

the shape of the hanging cable is of a catenary curve.
the ground clearance is added to look into the problem logically.
but I think I've made a blunder regarding the calculation with clearance.
I'll update the test suites.

Oh no! I thought I understood this problem, but I see that I don't. Do you have a ground clearance in addition to the natural clearance of the catenary y=a*cosh(x/a)? In that case, I guess we *do* need 3 input parameters. If that is not the case, then the cable length can't be more than twice the height h.

@william
yes,1st I actually intended to do that way -- a ground clearance in addition to the natural clearance of the catenary.
but I jumbled up my equations there.