5 Replies Latest reply: May 25, 2012 3:42 AM by _spoboyle RSS

    How to solve this equation?

    fanglinyong

      can anybody help me, solve this problem in as3 ?

       

      x+y+z=8000;

      0.17*x + 0.35*y +0.08*z =960

      thanks very much!!!

        • 1. Re: How to solve this equation?
          Ned Murphy MVP

          I kinda wanna lean on rusty learning and say it can't be solved... three unknowns requires three equations. 

           

          As far as solving it with AS3, what do you mean?

          • 2. Re: How to solve this equation?
            fanglinyong Community Member

            thanks for reply.somebody   like the following equation

            1、x+y+z=100

            2、3x+8y+1/3z=100,

            used  code like this to solving the equation,but, i din't understand how to do it !!!

            Sub xxx()

            Dim x%, y%, z%, i%, k%

            For i = 0 To 33

                For j = 0 To 12

                    For k = 0 To 300 Step 3

                        If i + j + k = 100 And 3 * i + 8 * j + 1 / 3 * k = 100 Then

                            MsgBox "x=" & i & "y=" & j & "z=" & k

                        End If

                    Next k, j, i

            End Sub

            • 3. Re: How to solve this equation?
              _spoboyle Community Member

              AS3 for the above is

               

              for (var i:int = 0; i < 33; i++)

              {

                        for (var j:int = 0; j < 12; j++)

                        {

                                  for (var k:int = 0; k < 300; k += 3)

                                  {

                                            if ((i + j + k == 100) && (3*i + 8*j + k/3) == 100)

                                            {

                                                      trace("x=", i, ", y=", j, ", z=", k);

                                            }

                                  }

                        }

              }

              trace("done");

               

              note 3 unknowns with 2 equations gives 2 solutions

              • 4. Re: How to solve this equation?
                fanglinyong Community Member

                thanks.

                but i means that how to used this code to solve my problem ??this is the key question!!!

                 

                2012-05-25

                 

                 

                 

                方林勇

                 

                 

                 

                发件人:_spoboyle

                发送时间:2012-05-25 16:05

                主题:[Action Script 3] How to solve this equation?

                收件人:"fanglinyong"<fanglinyong_81@163.com>

                抄送:

                 

                Re: How to solve this equation?

                created by _spoboyle in Action Script 3 - View the full discussion

                 

                 

                AS3 for the above is

                for (var i:int = 0; i < 33; i++)

                                              {

                                                        for (var j:int = 0; j < 12; j++)

                                                        {

                                                                  for (var k:int = 0; k < 300; k += 3)

                                                                  {

                                                                            if ((i + j + k == 100) && (3i + 8j + k/3) == 100)

                                                                            {

                                                                                      trace("x=", i, ", y=", j, ", z=", k);

                                                                            }

                                                                  }

                                                        }

                                              }

                                              trace("done");

                Replies to this message go to everyone subscribed to this thread, not directly to the person who posted the message. To post a reply, either reply to this email or visit the message page: http://forums.adobe.com/message/4438366#4438366

                To unsubscribe from this thread, please visit the message page at http://forums.adobe.com/message/4438366#4438366. In the Actions box on the right, click the Stop Email Notifications link.

                Start a new discussion in Action Script 3 by email or at Adobe Forums

                For more information about maintaining your forum email notifications please go to http://forums.adobe.com/message/2936746#2936746.

                • 5. Re: How to solve this equation?
                  _spoboyle Community Member

                  this gives a little more explanation, although doesn't actually complete for me there are too many permitations

                   

                  you are also going to have to worry about the number representation issue using floating points numbers

                   

                  it might be better to convert the second equations to something equivalent which uses ints

                   

                  package

                  {

                            import flash.display.Sprite;

                   

                            public class Main extends Sprite

                            {

                                      //x+y+z=8000;

                                      //0.17 * x + 0.35 * y +0.08 * z = 960

                   

                   

                                      public function Main()

                                      {

                                                // consider each equation in the form a.x + b.y + c.z = d

                   

                                                // we have 3 unknowns x, y, z so we need 3 nested for loops to run over all possibilities

                   

                                                // then the maximum value x can be is d/a

                                                // maximum y = d/b

                                                // maximum z = d/c

                   

                                                // now if we have 2 equations we need to take the maximum for each known from either equation

                                                // so in your case with maximum x is the maximum of 8000/1 and 960/0.17 =

                                                // maximum y is the maximum of 8000/1 and 960/0.35

                                                // maximum z is the maximum of 8000/1 and 960/0.08

                   

                                                // all these maximums should be rounded down to the nearest integer

                                                //max x = 8000

                                                //max y = 8000

                                                //max z = 12000

                   

                                                //we use these maximum values for the nested for loop limits

                   

                                                var maxX:int = Math.max(8000 / 1, 960 / 0.17);

                                                var maxY:int = Math.max(8000 / 1, 960 / 0.35);

                                                var maxZ:int = Math.max(8000 / 1, 960 / 0.08);

                   

                                                trace("max values: ", maxX, maxY, maxZ);

                   

                                                for (var i:int = 0; i < maxX; i++)

                                                {

                                                          for (var j:int = 0; j < maxY; j++)

                                                          {

                                                                    for (var k:int = 0; k < maxZ; k++)

                                                                    {

                                                                              // this if statement is a representation of if the values for x, y and z we are trying

                                                                              // actually solve the equations

                                                                              // so in your case use the following

                                                                              if ((i + j + k == 8000) && (0.17*i + 0.35*j + 0.08*k) == 960)

                                                                              {

                                                                                        trace("x=", i, ", y=", j, ", z=", k);

                                                                              }

                                                                    }

                                                          }

                                                }

                                                trace("done");

                                      }

                            }

                  }