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Tema: [RETO] Comprobar si un numero es Oblongo/Pronico (Leído 26,601 veces)
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Karcrack
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Mensajes: 2.416
Se siente observado ¬¬'
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Seguimos con los retos de velocidad y numeros Ahora han tocado los numeros pronicos/oblongos... que no requieren un algoritmo muy complejo, pero si que tocara pensar para augmentar la velocidad Mas informacion:http://en.wikipedia.org/wiki/Pronic_number http://oeis.org/classic/A002378 Se trata de comprobar si un numero puede ser expresado como el producto de dos enteros consecutivos... es decir: Ejemplo:Se trata de comprobar que el numero es oblongo y devolver el valor de n... La funcion ha de estar declarada de este modo:Private Function IsOblongo(ByVal lNumb As Long, ByRef n As Long) As Boolean
Tal vez la velocidad de aparicion de nuevos retos sea elevada, pero es que por las noches me aburro Se el mas rapido del oeste, vaquero!
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« Última modificación: 17 Agosto 2010, 01:28 am por Karcrack »
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Karcrack
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Mensajes: 2.416
Se siente observado ¬¬'
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Esta seria la forma habitual y logica de realizar el algoritmo: Private Function IsOblongo(ByVal lNumb As Long, ByRef n As Long) As Boolean Dim i As Long For i = 0 To lNumb If lNumb = i * (i + 1) Then IsOblongo = True n = i Exit For End If Next i End Function
Por cierto, la velocidad se medira llamando a la funcion con un rango de 10000 numeros, tal que asi: Dim i As Long Dim n As Long
For i = 0 To 10000 Call IsOblongo(i, n) Next i
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« Última modificación: 17 Agosto 2010, 01:34 am por Karcrack »
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Karcrack
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Mensajes: 2.416
Se siente observado ¬¬'
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Aqui esta mi codigo ' Karcrack Private Function IsOblongo01(ByVal lNumb As Long, ByRef n As Long) As Boolean If (lNumb = 0) Then n = 0: IsOblongo01 = True: Exit Function If (lNumb And 1) = 0 Then For n = 1 To Sqr(lNumb + 1) If lNumb = n * (n + 1) Then IsOblongo01 = True Exit For End If Next n End If End Function
Si simplemente se quiere comprobar si es oblongo sin calcular n, se puede hacer asi: ' Karcrack, no cumple el requisito de devolver n Private Function IsOblongo02(ByVal lNumb As Long) As Boolean IsOblongo02 = (Round(Sqr(lNumb + 1)) - Round(Sqr(lNumb)) = 1) End Function Es mas corta, pero no mas rapida
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« Última modificación: 17 Agosto 2010, 13:03 pm por Karcrack »
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raul338
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Mensajes: 2.633
La sonrisa es la mejor forma de afrontar las cosas
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Propongo esta pero no es tan rapida Private Function EsCasiCuadrado(ByVal lNumb As Long, ByRef n As Long) As Boolean If lNumb < 0 Or (lNumb And 1) = 1 Then Exit Function If lNumb = 2 Then n = 1 EsCasiCuadrado = True End If Dim i As Long Dim fin As Long fin = Sqr(lNumb) For i = 2 To fin If lNumb / i = i + 1 Then n = i EsCasiCuadrado = True Exit Function End If Next End Function
[OFFTOPIC]Primera vez que me sale algo para participar!!! [/OFFTOPIC]
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« Última modificación: 17 Agosto 2010, 02:07 am por raul338 »
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Karcrack
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Mensajes: 2.416
Se siente observado ¬¬'
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@raul338: Para mejorar la velocidad te recomiendo que te saltes los pares, ya que ningun par mayor que 2 es pronico, tambien te recomiendo que hagas el bucle con la n; Te ahorras una variable y ganas velocidad... Y por ultimo te recomiendo que aqui: If lNumb / i = i + 1 Then Hagas la division entera ( \) que es mas rapida Saludos
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Tokes
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Aquí dejo mi código. 'Tokes Private Function EsOblongo(ByVal num As Long, ByRef n As Long) As Boolean Dim max As Long, i As Long If (num And 1) Then Exit Function max = Sqr(num) For i = 0 To max If num = i * i + i Then 'i * (i + 1) Then EsOblongo = True n = i Exit Function End If Next End Function
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raul338
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La sonrisa es la mejor forma de afrontar las cosas
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He agregado un filtro al codigo tokes, es mas rapido por unas milesimas de segundo XD (se nota en casos grandes y solo EN EL IDE ) @Karcrack Tu codigo no devuelve nada o al menos yo pruebo asi: Option Explicit Dim i As Integer Dim tim As New CTiming Private Sub Form_Load() Dim i As Long Dim j As Long Dim s As String s = "" tim.Reset For i = 1 To 100000 If EsOblongo(i, j) Then s = s & i & "," Next i Text1.Text = Text1.Text & "Tokes: " & tim.Elapsed & vbCrLf & s & vbCrLf s = "" tim.Reset For i = 1 To 100000 If EsCasiCuadrado(i, j) Then s = s & i & "," Next i Text1.Text = Text1.Text & "Tokes Mod Raul338: " & tim.Elapsed & vbCrLf & s & vbCrLf s = "" tim.Reset For i = 1 To 100000 If IsOblongo01(i, j) Then s = s & i & "," Next i Text1.Text = Text1.Text & "Karcrack: " & tim.Elapsed & vbCrLf & s & vbCrLf End Sub ' Tokes Mod Raul338 Private Function EsCasiCuadrado(ByVal lNumb As Long, ByRef n As Long) As Boolean If lNumb < 0 Then Exit Function If (lNumb And 1) Then Exit Function Dim s As Long s = CLng(Right$(lNumb, 1)) If (Not s = 0) Xor (Not s = 2) Xor (Not s = 6) Then Exit Function End If Dim fin As Long fin = Sqr(lNumb) For n = 1 To fin If lNumb = n * n + n Then EsCasiCuadrado = True Exit Function End If Next End Function ' Karcrack Private Function IsOblongo01(ByVal lNumb As Long, ByRef n As Long) As Boolean If (lNumb = 0) Or (lNumb = 2) Then n = lNumb \ 2: IsOblongo01 = True: Exit Function If (lNumb And 1) Then For n = 3 To Sqr(lNumb + 1) Step 2 If lNumb = n * (n + 1) Then IsOblongo01 = True Exit For End If Next n End If End Function 'Tokes Private Function EsOblongo(ByVal num As Long, ByRef n As Long) As Boolean Dim max As Long, i As Long If (num And 1) Then Exit Function max = Sqr(num) For i = 0 To max If num = i * i + i Then 'i * (i + 1) Then EsOblongo = True n = i Exit Function End If Next End Function
A ver quien mas se postula Ademas Karcrack, poniendo \ me empezo a tirar valores literalmente falsos
Resultados en tiempo de ejecucion!!! Tokes: 44,9498563796377 2,6,12,20,30,42,56,72,90,110,132,156,182,210,240,272,306,342,380,420,462,506,552,600,650,702,756,812,870,930,992,1056,1122,1190,1260,1332,1406,1482,1560,1640,1722,1806,1892,1980,2070,2162,2256,2352,2450,2550,2652,2756,2862,2970,3080,3192,3306,3422,3540,3660,3782,3906,4032,4160,4290,4422,4556,4692,4830,4970,5112,5256,5402,5550,5700,5852,6006,6162,6320,6480,6642,6806,6972,7140,7310,7482,7656,7832,8010,8190,8372,8556,8742,8930,9120,9312,9506,9702,9900,10100,10302,10506,10712,10920,11130,11342,11556,11772,11990,12210,12432,12656,12882,13110,13340,13572,13806,14042,14280,14520,14762,15006,15252,15500,15750,16002,16256,16512,16770,17030,17292,17556,17822,18090,18360,18632,18906,19182,19460,19740,20022,20306,20592,20880,21170,21462,21756,22052,22350,22650,22952,23256,23562,23870,24180,24492,24806,25122,25440,25760,26082,26406,26732,27060,27390,27722,28056,28392,28730,29070,29412,29756,30102,30450,30800,31152,31506,31862,32220,32580,32942,33306,33672,34040,34410,34782,35156,35532,35910,36290,36672,37056,37442,37830,38220,38612,39006,39402,39800,40200,40602,41006,41412,41820,42230,42642,43056,43472,43890,44310,44732,45156,45582,46010,46440,46872,47306,47742,48180,48620,49062,49506,49952,50400,50850,51302,51756,52212,52670,53130,53592,54056,54522,54990,55460,55932,56406,56882,57360,57840,58322,58806,59292,59780,60270,60762,61256,61752,62250,62750,63252,63756,64262,64770,65280,65792,66306,66822,67340,67860,68382,68906,69432,69960,70490,71022,71556,72092,72630,73170,73712,74256,74802,75350,75900,76452,77006,77562,78120,78680,79242,79806,80372,80940,81510,82082,82656,83232,83810,84390,84972,85556,86142,86730,87320,87912,88506,89102,89700,90300,90902,91506,92112,92720,93330,93942,94556,95172,95790,96410,97032,97656,98282,98910,99540, Tokes Mod Raul338: 76,2871329372145 2,6,12,20,30,42,56,72,90,110,132,156,182,210,240,272,306,342,380,420,462,506,552,600,650,702,756,812,870,930,992,1056,1122,1190,1260,1332,1406,1482,1560,1640,1722,1806,1892,1980,2070,2162,2256,2352,2450,2550,2652,2756,2862,2970,3080,3192,3306,3422,3540,3660,3782,3906,4032,4160,4290,4422,4556,4692,4830,4970,5112,5256,5402,5550,5700,5852,6006,6162,6320,6480,6642,6806,6972,7140,7310,7482,7656,7832,8010,8190,8372,8556,8742,8930,9120,9312,9506,9702,9900,10100,10302,10506,10712,10920,11130,11342,11556,11772,11990,12210,12432,12656,12882,13110,13340,13572,13806,14042,14280,14520,14762,15006,15252,15500,15750,16002,16256,16512,16770,17030,17292,17556,17822,18090,18360,18632,18906,19182,19460,19740,20022,20306,20592,20880,21170,21462,21756,22052,22350,22650,22952,23256,23562,23870,24180,24492,24806,25122,25440,25760,26082,26406,26732,27060,27390,27722,28056,28392,28730,29070,29412,29756,30102,30450,30800,31152,31506,31862,32220,32580,32942,33306,33672,34040,34410,34782,35156,35532,35910,36290,36672,37056,37442,37830,38220,38612,39006,39402,39800,40200,40602,41006,41412,41820,42230,42642,43056,43472,43890,44310,44732,45156,45582,46010,46440,46872,47306,47742,48180,48620,49062,49506,49952,50400,50850,51302,51756,52212,52670,53130,53592,54056,54522,54990,55460,55932,56406,56882,57360,57840,58322,58806,59292,59780,60270,60762,61256,61752,62250,62750,63252,63756,64262,64770,65280,65792,66306,66822,67340,67860,68382,68906,69432,69960,70490,71022,71556,72092,72630,73170,73712,74256,74802,75350,75900,76452,77006,77562,78120,78680,79242,79806,80372,80940,81510,82082,82656,83232,83810,84390,84972,85556,86142,86730,87320,87912,88506,89102,89700,90300,90902,91506,92112,92720,93330,93942,94556,95172,95790,96410,97032,97656,98282,98910,99540, Karcrack: 61,5048539640439 2,
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« Última modificación: 17 Agosto 2010, 04:42 am por raul338 »
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LeandroA
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Hola me matan las matematicas @~#~# bueno pongo dos funciones una a lo bruto y la otra mejor es en base a la de tokes pero mas rapida. Private Function IsOblongoLeo(ByVal lNumb As Long, ByRef n As Long) As Boolean Dim R As Long Dim lSum As Long If (lNumb And 1) Then Exit Function lSum = lNumb + 1 R = lSum ^ 0.48 If lNumb = R * (R + 1) Then IsOblongoLeo = True n = R Else R = lSum ^ 0.49 If lNumb = R * (R + 1) Then IsOblongoLeo = True n = R Else R = lSum ^ 0.495 If lNumb = R * (R + 1) Then IsOblongoLeo = True n = R Else R = lSum ^ 0.498 If lNumb = R * (R + 1) Then IsOblongoLeo = True n = R Else R = lSum ^ 0.499 If lNumb = R * (R + 1) Then IsOblongoLeo = True n = R Else If (lNumb = 0) Or (lNumb = 2) Then n = lNumb \ 2: IsOblongoLeo = True: Exit Function If (lNumb = 6) Then n = 2: IsOblongoLeo = True End If End If End If End If End If End Function
y esta mucho mas rapida Private Function IsOblongoLeo2(ByVal lNumb As Long, ByRef n As Long) As Boolean Dim lmax As Long, i As Long If (lNumb And 1) Then Exit Function If lNumb = 0 Then n = 0: IsOblongoLeo2 = True: Exit Function lmax = Sqr(lNumb) For i = lmax - 1 To lmax If lNumb = i * (i + 1) Then IsOblongoLeo2 = True n = i Exit Function End If Next End Function
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« Última modificación: 17 Agosto 2010, 06:14 am por LeandroA »
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cobein
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Algo que vi en algunos algoritmos
6 = 2*(2+1) no es lo mismo que 2 * 2+1
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LeandroA
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jaja eso me pasa por copiar
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