Math problem.

Revision en2, by VastoLorde95, 2015-06-12 12:53:35

Hi, In this problem, I am using the idea that AM >= GM just like in the editorial but with slightly different steps.

Equality should hold when all elements are equal. So according to me, x = y = z and the solution I arrive at is that x = y = z = S / 3

But this is incorrect as seen from the test case

S = 10

a = 1, b = 6, c = 3

My solution gives x = y = z = 3.33 and hence xa·yb·zc =  169350.87

But the optimal solution is x = 1.0, y = 6.0, z = 3.0 with xa·yb·zc =  1259712

What is the flaw in my math? Is this not a correct way to use GM <= AM? I don't understand why my solution differs from the solution given in the editorial even though the principle behind both is the same.

Tags math, codeforces, inequalities, help

History

 
 
 
 
Revisions
 
 
  Rev. Lang. By When Δ Comment
en3 English VastoLorde95 2015-06-12 12:56:13 17
en2 English VastoLorde95 2015-06-12 12:53:35 2
en1 English VastoLorde95 2015-06-12 12:51:59 862 Initial revision (published)