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Cubic Minimum (Posted on 2014-09-26) Difficulty: 3 of 5
S is the minimum positive integer whose cube root is of the form T + U, where T is a positive integer and U is a positive real number less than 0.00001.

Determine the value of S.

No Solution Yet Submitted by K Sengupta    
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Solution computer solution | Comment 3 of 7 |
DefDbl A-Z
Dim crlf$, used(25)


Private Sub Form_Load()
 ChDir "C:Program Files (x86)DevStudioVBprojects looble"
 Text1.Text = ""
 crlf$ = Chr(13) + Chr(10)
 Form1.Visible = True
 DoEvents

 Min = 0.001
 For s = 1 To 10000000
   cr = s ^ (1 / 3)
   rounded = Int(cr + 0.5)
   diff = cr - rounded
   If diff > 0 Then
     If diff < Min Then
       Text1.Text = Text1.Text & s & Str(cr) & crlf
       DoEvents
       Min = diff
     End If
   End If
 Next

 Text1.Text = Text1.Text & crlf & " done"
End Sub

finds, after other, larger U:

   S           T+U
...
5735340 179.000010403337
5832001 180.000010288065
5929742 181.000010174699
6028569 182.000010063196        last min before answer
6128488 183.000009953516        answer
6229505 184.00000984562
6331626 185.000009739469
6434857 186.000009635025
...

Edited on September 26, 2014, 1:55 pm
  Posted by Charlie on 2014-09-26 13:50:49

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