list manipulation - Replacing more than one element from a Sublist

The following expression allows me to extract the value of x and y:

{x, y, u, v} /. #2 & @@ 
 List[Minimize[{x - 2 y^2, 1500 >= x >= y >= 0}, {x, y}], 

   List[FindRoot[{v - Sin[u] == 0, v + u == 30}, {u, 0}, {v, 20}]]]~
  Flatten~1

On the other hand, this expression allows me to extract the value of u and v

{x, y, u, v} /. #3 & @@ 
 List[Minimize[{x - 2 y^2, 1500 >= x >= y >= 0}, {x, y}], 
   List[FindRoot[{v - Sin[u] == 0, v + u == 30}, {u, 0}, {v, 20}]]]~
  Flatten~1

I want to extract the 4 values at once modifing the code, you know {x,y,u,v} = {1500, 1500, 30.675, -0.674984}

Does anyone know how to do it? thanks!

Answer

input = Flatten[List[Minimize[{x - 2 y^2, 1500 >= x >= y >= 0}, {x, y}], 
                     List[FindRoot[{v - Sin[u] == 0, v + u == 30}, {u, 0}, {v, 20}]]], 
                1];

{x, y, u, v} /. Join @@ Rest @ input
(* {1500, 1500, 30.675, -0.674984} *)

{x, y, u, v} /. Join@##2 & @@ input
(* {1500, 1500, 30.675, -0.674984} *)

{x, y, u, v} /. #2 /. #3 & @@ input
(* {1500, 1500, 30.675, -0.674984} *)

Comments

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