[Archive!] Pure mathematics, physics, chemistry, etc.: brain-training problems not related to trade in any way - page 444
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87 = 11+76. П=836 (=2*2*11*19) = 2*418 = 4*209 = 11*76 = 19*44 = 22*38. The probable sums are 87, 63, 60. The solution is unique and is not disproved by the first retort A! The numbers are 11 and 76.
I think we're screwed after all. Check the green pair.
Checked it out. Real bummer. Looked at my notes - I'm ashamed to say, I've misdivided the 76 into multipliers... Yeah. :(
All right. At least we got a clearer idea. We're gonna crack her tomorrow.
We're done for the day.
Good night everyone.
Guys, please help me, there is a formula in here but I can't figure out what it is.
int init(){
return(0);
}
int deinit()
{
double AngleIndex=0;
string AngleName=";
for(AngleIndex=0;AngleIndex<=720;AngleIndex=AngleIndex+22.5)
{
AngleName = "Angle_" + AngleIndex;
ObjectDelete(AngleName + "Label");
ObjectDelete(AngleName + " Line");
}
return(0);
}
int start()
{
double AngleIndex=0;
string AngleName=";
double FactorIndex=0;
double AnglePriceLevel=0;
int Index=0;
string strLabel=";
for(AngleIndex=0;AngleIndex<=720;AngleIndex=AngleIndex+22.5)
{
AnglePriceLevel = CalculateSquare(FactorIndex,StartPrice);
//Trim Zero's
if(Index==1)
{
strLabel = DoubleToStr(AngleIndex,1);
}
else
{
strLabel = DoubleToStr(AngleIndex,0);
}
AngleName = "Angle_" + AngleIndex;
if(ObjectFind(AngleName + "Line") != 0)
{
ObjectCreate(AngleName + " Line", OBJ_HLINE, 0, Time[40], AnglePriceLevel);
//ObjectSet(AngleName + " Line", OBJPROP_STYLE, STYLE_DASHDOTDOT);
ObjectSet(AngleName + " Line", OBJPROP_BACK, true);
if(MathMod(Index,2) == 0)
{
ObjectSet(AngleName + " Line", OBJPROP_COLOR, _45Degree_Color);
ObjectSet(AngleName + " Line", OBJPROP_STYLE, STYLE_DASH);
}
else
{
ObjectSet(AngleName + " Line", OBJPROP_COLOR, _22.5Degree_Color); //25.5
ObjectSet(AngleName + " Line", OBJPROP_STYLE, STYLE_DASHDOTDOT);
}
}
else
{
ObjectMove(AngleName + " Line", 0, Time[40], AnglePriceLevel);
}
if(ObjectFind(AngleName + " Label") != 0)
{
ObjectCreate(AngleName + " Label", OBJ_TEXT, 0, Time[20], AnglePriceLevel);
if(MathMod(Index,2) == 0)
{
ObjectSetText(AngleName + " Label", strLabel + "°", 12, "Verdana", _45Degree_Color);
}
else
{
ObjectSetText(AngleName + " Label", strLabel + "°", 12, "Verdana", EMPTY);
}
}
else
{
ObjectMove(AngleName + " Label", 0, Time[20], AnglePriceLevel);
}
FactorIndex = FactorIndex + 0.56;// 0.125 <<<<<<<<<<< Renier gebruik 0.14
Index = Index + 1;
}
return(0);
}
double CalculateSquare(double Factor, double Price)
{
double AnglePrice=0;
if(Price > 0)
{
if(StringFind(Symbol(), "JPY",0) == -1)
{
Price = Price * 100000;
}
else
{
Price = Price * 1000;
}
if(Direction_Up==true)
{
AnglePrice = MathPow(MathSqrt(Price) + Factor,2);
}
else
{
AnglePrice = MathPow(MathSqrt(Price) - Factor,2);
}
if(StringFind(Symbol(), "JPY",0) == -1)
{
AnglePrice = AnglePrice / 100000;
}
else
{
AnglePrice = AnglePrice / 1000;
}
}
return(AnglePrice);
}
While smoking, I found one solution after all. (probably not the only one). The logic of finding it was quite simple.
// Why didn't I think of it at once? ;)
Sum = 67
Product=192
Numbers: 64 и 3
--
// Beautiful solution and the speed of the sage dialogue is explained. Overkill is almost unnecessary.
just want to put it in Excel for easy use for Futures and Indices
Guys, please help, there is a formula in here but I can't figure out what it is.
int init(){.............................
Screw it. You've got the wrong notes. It's this way: https://www.mql5.com/ru/forum/111497/.
// We are there too. We are everywhere...
just want to write it in Excel, for easy use for Futures and Indices
Sum = 67
product=192
Numbers: 64 и 3
3 (A): 192 (= 2*2*2*2*2*2*3) = 2*96 = 3*64 = 4*48 = 6*32 = 8*24 = 12*16. The sums are all even, except for 67. I know a pair!
4 (Б):
Memento 11,17,23,27,29,35,37,41,47,51,53,57,59,65,67,71,77,79,83,87,89,93,95,97.
67=2+65. Proc = 130 (=2*5*13) = 2*65 = 5*26 = 10*13. Probable sums: 67, 31, 23. Fails.
67=3+64. П = 192 ... repeat 3 (A), goes only C=67, the only one here and not contradicting the 1st replica of A. A possible pairing is 3,64.
67=4+63. П = 252 (=2*2*3*3*7) = 3*84 = 4*63 = 6*42 = 7*36 = 9*28 = 12*21 = 14*18. The sums are 87, 67... is enough. Doesn't work.
67=5+62. П = 310 (=2*5*31) = 5*62 = 10*31. The sums are 67, 41. Does not pass.
67=6+61. П = 366 (=2*3*61). Guesses in the first line of A.
67=7+60. П = 420 (=2*2*3*5*7) = 5*84 = 6*70 = 7*60... is sufficient, since the sums of 89 and 67 are acceptable. It does not pass.
67=8+59. The pair is guessed at once.
67=9+58. П (=2*3*3*29) = 6*87 = 9*58 = 18*29. The sums are 93, 67 etc. Doesn't pass.
67=10+57. П (=2*3*5*19) = 10*57 = 15*38 = 19*30. The sums are 67,53,49. Doesn't pass.
67=11+56. П (=2*2*2*7*11) = 7*88 = 8*77 = 11*56 = 14*44 = 22*28. The sums are 95,85,67 etc. Does not pass.
67=12+55. П (=2*2*3*5*11) = 10*66 = 12*55 = 15*44 = 20*33 = 22*30. The sums are 67, 59 etc. Doesn't work.
67=13+54. П (=2*3*3*3*13) = 9*78 = 13*54. The sums are 87,67. No.
67=14+53. П (=2*7*53) = 14*53. Guesses from the first line. No.
67=15+52. П (=2*2*3*5*13) = 10*78 = 12*65 = ... The sums are 77 and , of course, 67. No.
67=16+51. П (=2*2*2*2*3*17) = 12*68 = 16*51 = 17*48 = ... The sums are 65 and ours is 67. No.
67=17+50. П (=2*5*5*17) = 10*85 = 17*50 = 25*34. The surplus sum is 95. No.
67=18+49. П (=2*3*3*7*7) = 14*63 = .... There is a surplus sum of 77. No.
67=19+48. П (=2*2*2*2*3*19) = 12*76 = 16*57 = 19*48 = 24*38. There are no extra ones. Bummer. The numbers are 19 and 48.
__________________
Gone to bed, it is late :)
I didn't mean to suggest a solution. I'm talking about you programmers sitting around and manually going through the options... Why?
I wouldn't dream of telling you the solution. I'm talking about the fact that you programmers sit around and manually go through the options... What for?
I have a different motive - to learn how to think analytically and mathematically. And to get different pleasures along the way. And I'll write the script later . It's an easier task for me.
By the way, thanks for the problem, Valery. Simply wonderful!