Brilliant numbers: Difference between revisions
no edit summary
(Created Nim solution.) |
No edit summary |
||
Line 428:
Elapsed time: 1.50048 seconds
</pre>
=={{header|Delphi}}==
{{works with|Delphi|6.0}}
{{libheader|SysUtils,StdCtrls}}
<syntaxhighlight lang="Delphi">
function Compare(P1,P2: pointer): integer;
{Compare for quick sort}
begin
Result:=Integer(P1)-Integer(P2);
end;
procedure GetBrilliantNumbers(List: TList; Limit: integer);
{Return specified number of Brilliant Numbers in list}
var I,J,P,Stop: integer;
var Sieve: TPrimeSieve;
begin
Sieve:=TPrimeSieve.Create;
try
{build twices as many primes}
Sieve.Intialize(Limit*2);
{Pair every n-digt prime with every n-digit prime}
I:=2;
while true do
begin
J:=I;
{Put primes in J up to next power of 10 - 1}
Stop:=Trunc(Power(10,Trunc(Log10(I))+1));
while J<Stop do
begin
{Get the product}
P:=I * J;
{and store in the list}
List.Add(Pointer(P));
{Exit if we have all the numbers}
if List.Count>=Limit then break;
{Get next prime}
J:=Sieve.NextPrime(J);
end;
{break out of outer loop if done}
if List.Count>=Limit then break;
{Get next prime}
I:=Sieve.NextPrime(I);
end;
{The list won't be in order, so sort them}
List.Sort(Compare);
finally Sieve.Free; end;
end;
procedure ShowBrilliantNumbers(Memo: TMemo);
var List: TList;
var S: string;
var I,D,P: integer;
begin
List:=TList.Create;
try
{Get 10 million brilliant numbers}
GetBrilliantNumbers(List,1000000);
{Show the first 100}
S:='';
for I:=0 to 100-1 do
begin
S:=S+Format('%7d',[Integer(List[I])]);
if (I mod 10)=9 then S:=S+CRLF;
end;
Memo.Lines.Add(S);
{Show additional information}
for D:=1 to 8 do
begin
P:=Trunc(Power(10,D));
{Scan to find for 1st brilliant number >= 10^D }
for I:=0 to List.Count-1 do
if Integer(List[I])>=P then break;
{Display the info}
S:=Format('First brilliant number >= 10^%d is %10d',[D,Integer(List[I])]);
S:=S+Format(' at position %10D', [I]);
Memo.Lines.Add(S);
end;
finally List.Free; end;
end;
</syntaxhighlight>
{{out}}
<pre>
4 6 9 10 14 15 21 25 35 49
121 143 169 187 209 221 247 253 289 299
319 323 341 361 377 391 403 407 437 451
473 481 493 517 527 529 533 551 559 583
589 611 629 649 667 671 689 697 703 713
731 737 767 779 781 793 799 803 817 841
851 869 871 893 899 901 913 923 943 949
961 979 989 1003 1007 1027 1037 1067 1073 1079
1081 1121 1139 1147 1157 1159 1189 1207 1219 1241
1247 1261 1271 1273 1333 1343 1349 1357 1363 1369
First brilliant number >= 10^1 is 10 at position 3
First brilliant number >= 10^2 is 121 at position 10
First brilliant number >= 10^3 is 1003 at position 73
First brilliant number >= 10^4 is 10201 at position 241
First brilliant number >= 10^5 is 100013 at position 2504
First brilliant number >= 10^6 is 1018081 at position 10537
First brilliant number >= 10^7 is 10000043 at position 124363
First brilliant number >= 10^8 is 100140049 at position 573928
Elapsed Time: 185.451 ms.
</pre>
=={{header|Factor}}==
{{works with|Factor|0.99 2022-04-03}}
| |||