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The Big Programming Thread - Page 160

Forum Index > General Forum
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Thread Rules
1. This is not a "do my homework for me" thread. If you have specific questions, ask, but don't post an assignment or homework problem and expect an exact solution.
2. No recruiting for your cockamamie projects (you won't replace facebook with 3 dudes you found on the internet and $20)
3. If you can't articulate why a language is bad, don't start slinging shit about it. Just remember that nothing is worse than making CSS IE6 compatible.
4. Use [code] tags to format code blocks.
meatpudding
Profile Joined March 2011
Australia520 Posts
August 28 2012 05:23 GMT
#3181
Blisse

You could create a dict to count the elements like this:


m = {} # count of items in a
n = {} # count of items in b

for i in a:
if(m.has_key(i)):
m[i] += 1
else:
m[i] = 1


for i in b:
if(n.has_key(i)):
n[i] += 1
else:
n[i] = 1


Then you can do some quick lookups to determine which values to keep. Eg:


# Your logic here...
uniqueItems = []
for i in m:
if m[i] > 1 and i in n:
uniqueItems.append(i)


HTH
Be excellent to each other.
Blisse
Profile Blog Joined July 2010
Canada3710 Posts
August 28 2012 05:46 GMT
#3182
On August 28 2012 14:23 meatpudding wrote:
+ Show Spoiler +
Blisse

You could create a dict to count the elements like this:


m = {} # count of items in a
n = {} # count of items in b

for i in a:
if(m.has_key(i)):
m[i] += 1
else:
m[i] = 1


for i in b:
if(n.has_key(i)):
n[i] += 1
else:
n[i] = 1


Then you can do some quick lookups to determine which values to keep. Eg:


# Your logic here...
uniqueItems = []
for i in m:
if m[i] > 1 and i in n:
uniqueItems.append(i)


HTH



ooo, looking it over now, it looks very promising. I must review it tomorrow. Thanks for your help!
There is no one like you in the universe.
phar
Profile Joined August 2011
United States1080 Posts
Last Edited: 2012-08-28 05:53:06
August 28 2012 05:51 GMT
#3183
^ meatpudding's solution is probably cool one, however something thing to note:

On August 28 2012 10:28 Blisse wrote:The two lists can possibly have over 20,000 items each.


Are you guaranteed to have the lists be small enough to be in memory? The dictionary approach becomes rapidly less appealing if you have to go out to disk.

(20k strings is pretty small though, assuming each string is <1k or so)

Assuming this is for an undergrad class and you're not in China or CMU or something, it may be safe to assume it's small enough to hold in memory.
Who after all is today speaking about the destruction of the Armenians?
MisterD
Profile Blog Joined June 2010
Germany1338 Posts
August 28 2012 08:35 GMT
#3184
if your language doesn't have established data structures don't use it or write your own :p the dict approach mentioned above basically implements a bag, and you can just as easily get a set by simply associating each key with a fixed value. If you have a bag and set, the implementation becomes pretty straight forward (dirty java snippet using apache commons collections classes):


// inputs..
List a = ...
List b = ...
// count the number of occurances in each array
Bag bagA = new HashBag();
bagA.addAll(a);
Bag bagB = new HashBag();
bagB.addAll(b);
// calculate a set of all different strings for iteration
Set allStrings = new HashSet();
allStrings.addAll(bagA.uniqueSet());
allStrings.addAll(bagB.uniqueSet());
// iterate through all strings
Bag result = new HashBag();
for(String string : allStrings) {
// for each string, store as many copies as the absolute difference in occurance count in a and b
result.add(string, Math.abs(bagA.getCount(string) - bagB.getCount(string));
}
// and done
System.out.println(result);


that runs in linear time and doesn't touch the initial lists/arrays at all except for reading them. I assume you *could* implement this with about 50% less requirements in both time and memory if you really want to, but that just makes the algorithm harder to read, and half of linear is still linear, so it doesn't really matter all that much unless you happen to have real time constraints.
Gold isn't everything in life... you need wood, too!
Leafty
Profile Joined July 2012
France84 Posts
August 28 2012 10:04 GMT
#3185
On August 28 2012 10:28 Blisse wrote:
A common example of the list would be, given

a = [1,1,3,2,3,3,2,2]
b = [1,1,2,3,2]

I need the following by the end

a = [2,3,3]
b = []



Why do you expect

a = [2,3,3]
b = []


instead of

a = [3,3,2]
b = []


if you say you expect the order to be preserved?
KaiserJohan
Profile Joined May 2010
Sweden1808 Posts
August 28 2012 10:56 GMT
#3186
Even if you aren't a game developer, you should read this blog:

http://bitsquid.blogspot.se/2012/08/cleaning-bad-code.html

so awesome written, the part about cleaning bad code is hilarious. Here's an excerpt:

Megafunctions. You have heard about them. These mythic creatures that dwell in the deepest recesses of the darkest codebases. Broken programmers talk about them in dusky bars, their sanity shattered by their encounters: "I just kept scrolling and scrolling. I couldn't believe my eyes. It was 12 000 lines long."
England will fight to the last American
Deleted User 101379
Profile Blog Joined August 2010
4849 Posts
Last Edited: 2012-08-28 11:22:15
August 28 2012 11:15 GMT
#3187
On August 28 2012 19:56 KaiserJohan wrote:
Even if you aren't a game developer, you should read this blog:

http://bitsquid.blogspot.se/2012/08/cleaning-bad-code.html

so awesome written, the part about cleaning bad code is hilarious. Here's an excerpt:

Show nested quote +
Megafunctions. You have heard about them. These mythic creatures that dwell in the deepest recesses of the darkest codebases. Broken programmers talk about them in dusky bars, their sanity shattered by their encounters: "I just kept scrolling and scrolling. I couldn't believe my eyes. It was 12 000 lines long."


It's only hilarious if you don't face them every single day at work.

Megafunctions? I would have been happy if my predecessor even had used a function. One project had 10k lines... without a single function. I found the same SQL query 13 times in a single file.

Mutable state? What about this other project from a programmer that is now my superior that luckily got replaced by something slightly less bad when i joined the company.

300 global $template, $off, $cat, $lng, $mid, $sub, $sea, $aff, $spe, $da;

895 global $template, $off, $cat, $cat_long, $cat_field, $lang, $mid, $cat_long2, $sfm;
896 global $sea, $seaquery, $lng, $sub, $aff, $spe, $da, $cat_not, $PHP_SELF, $HTTP_HOST;
897 global $q, $_SESSION, $VC_LANG;

1997 global $template, $off, $cat, $cat_long, $cat_field, $lang, $mid, $cat_long2, $sea, $seaquery, $lng, $sub, $spe;

2028 global $template, $scn, $sea, $lng, $sub, $VC_SESSION_C, $off, $aff;
2029 global $allowedxyzewrlhjth3w45z; // Warning DON'T delete or modify
2030 global $stm, $PHP_SELF, $mov, $sfm, $psb, $act, $key, $lang, $fn, $fe, $rn, $re;
2031 global $REMOTE_ADDR, $HTTP_USER_AGENT, $niz, $mid, $cards_key, $fra, $spe;


Or SQL queries like this that were originally in a single line and where i broke up hundreds of similar queries into a slightly more readable format (SQL Formatter vim plugin is a life saver):
+ Show Spoiler +

492 $query = "INSERT INTO movieon4.tmp_movie_detail
493 SELECT m.movie_id,
494 t3.producer_id,
495 t3.producer,
496 m.director,
497 m.produced_year,
498 m.barcode,
499 GROUP_CONCAT(DISTINCT
500 IF(p.propertytype_id = 14,p.property_id,NULL),'|',p.property_text_id,'|',IFNULL(tct.main_category_id,0),'|',IFNULL(p2 .property_text_id,0)
501 SEPARATOR ',')
502 AS movie_category,
503 ROUND((IFNULL(CAST(GROUP_CONCAT(DISTINCT CASE p.property_id
504 WHEN 43 THEN 1
505 WHEN 44 THEN 2
506 WHEN 45 THEN 3
507 WHEN 46 THEN 4
508 WHEN 47 THEN 5
509 END SEPARATOR '') AS decimal),4))) AS sterne,
510 GROUP_CONCAT(DISTINCT IF(p.propertytype_id = 24,p.property_text_id,NULL)) AS sprache,
511 GROUP_CONCAT(DISTINCT p.property_id SEPARATOR ',') REGEXP '^74,|,74,',
512 GROUP_CONCAT(DISTINCT a.actor_id,'|',a.actor SEPARATOR ','),
513 GROUP_CONCAT(DISTINCT IF(p.propertytype_id = 34,p.property_id,NULL)),
514 GROUP_CONCAT(DISTINCT IF(p.propertytype_id = 34,p.property_text_id,NULL)),
515 IFNULL(vs.sum,0),
516 m.aspect_ratio
517 FROM (SELECT DISTINCT movie_id FROM movieon4.tmp_movie WHERE type = 0) tm
518 LEFT JOIN moviedb.movie m ON m.movie_id = tm.movie_id
519 LEFT JOIN moviedb.producer t3 ON t3.producer_id = m.producer_id AND t3.deleted = 0 AND t3.product_id != 5
520 LEFT JOIN moviedb.movieproperty mpp ON tm.movie_id = mpp.movie_id AND mpp.property_id IN (SELECT DISTINCT property_id FROM moviedb.productproperty WHERE product_id IN ( 1, 6, 8, 9, 16, 17, 18, 19, 22 ))
521 LEFT JOIN moviedb.property p ON p.property_id = mpp.property_id AND p.deleted = 0
522 LEFT JOIN movieon4.tmp_vote_statistic vs ON tm.movie_id = vs.movie_id
523 LEFT JOIN movieon4.tmp_category_tree tct ON tct.category_id = p.property_id
524 LEFT JOIN moviedb.property p2 ON p2.property_id = tct.main_category_id AND p2.deleted = 0
525 LEFT JOIN moviedb.actormovie am ON am.movie_id = tm.movie_id
526 LEFT JOIN moviedb.actor a ON a.actor_id = am.actor_id AND a.deleted = 0
527 WHERE 1
528 AND p.propertytype_id in( 14,17,22,23,24,34)
529 GROUP BY m.movie_id

Note that table aliases like 'a' for 'actor', 'm' for 'movie', 'mp' for 'movieproduct' where introduced by me. Before that it was all t1, t2, t3, ... t1000.

I once was an avid reader of thedailywtf.com, then i found out: Such code is actually real and it's the norm, not the exception.
Blisse
Profile Blog Joined July 2010
Canada3710 Posts
Last Edited: 2012-08-29 02:28:57
August 29 2012 02:24 GMT
#3188
+ Show Spoiler +
On August 28 2012 19:04 Leafty wrote:
Show nested quote +
On August 28 2012 10:28 Blisse wrote:
A common example of the list would be, given

a = [1,1,3,2,3,3,2,2]
b = [1,1,2,3,2]

I need the following by the end

a = [2,3,3]
b = []



Why do you expect

a = [2,3,3]
b = []


instead of

a = [3,3,2]
b = []


if you say you expect the order to be preserved?



Sorry, I started adding on elements in the list after I was finished once but I forgot to preserve the order. x.x really stupid mistake on my part.



+ Show Spoiler +
On August 28 2012 17:35 MisterD wrote:
if your language doesn't have established data structures don't use it or write your own :p the dict approach mentioned above basically implements a bag, and you can just as easily get a set by simply associating each key with a fixed value. If you have a bag and set, the implementation becomes pretty straight forward (dirty java snippet using apache commons collections classes):


// inputs..
List a = ...
List b = ...
// count the number of occurances in each array
Bag bagA = new HashBag();
bagA.addAll(a);
Bag bagB = new HashBag();
bagB.addAll(b);
// calculate a set of all different strings for iteration
Set allStrings = new HashSet();
allStrings.addAll(bagA.uniqueSet());
allStrings.addAll(bagB.uniqueSet());
// iterate through all strings
Bag result = new HashBag();
for(String string : allStrings) {
// for each string, store as many copies as the absolute difference in occurance count in a and b
result.add(string, Math.abs(bagA.getCount(string) - bagB.getCount(string));
}
// and done
System.out.println(result);


that runs in linear time and doesn't touch the initial lists/arrays at all except for reading them. I assume you *could* implement this with about 50% less requirements in both time and memory if you really want to, but that just makes the algorithm harder to read, and half of linear is still linear, so it doesn't really matter all that much unless you happen to have real time constraints.



Hmm, this looks like it gets the differences properly, but I want them removed from both sides, not just one. Right now I'm debating whether parsing both arrays separately for differences would be faster than only one.

+ Show Spoiler +

a = [1,2,2,3,4,5,6,6]
b = [6,5,5,4,2,1,7]

results in

a = [2,3,6]
b = [5,7]


That's what my program currently gives, assuming the numbers are actually strings.

This isn't a school project sadly.

Going to try a bunch of your suggestions now. Really appreciate the help guys ^^
There is no one like you in the universe.
Craton
Profile Blog Joined December 2009
United States17281 Posts
Last Edited: 2012-08-29 02:51:44
August 29 2012 02:49 GMT
#3189
Hah. I wish I had queries that small at work. I was fucking around with a 300 line view today which ties into a 75 (100?) line update statement that's joining to something like 7 tables (and naturally that statement is in the middle of a 700ish line procedure which runs a dozen or so updates).

Same old story: vague and changing requirements at the beginning and a lack of time/will by management to scrap code and start over. Trying to just constantly patchwork quilt the damn thing to work for every variation instead of rebuilding on a strong core.

It's certainly an educational experience being thrown into an sprawling, convoluted system straight out of college. Everyone should probably do it once.
+ Show Spoiler +
And then promptly say "fuck this shit" and refactor it from scratch.


Oh, I forgot the best part:
I receive fixed length ASCII files that have over 5000 distinct columns worth of data and not one bit of it is normalized when I receive it.

You know you're having a fun day when your queries involve inner joining 7 900+ column tables
twitch.tv/cratonz
Leafty
Profile Joined July 2012
France84 Posts
Last Edited: 2012-08-29 06:18:41
August 29 2012 05:39 GMT
#3190
I came up with that:

h = {}

i = 0
for x in a:
if not x in h:
h[x] = [[],[]]
h[x][0].append(i)
i += 1

i = 0
for x in b:
if not x in h:
h[x] = [[],[]]
h[x][1].append(i)
i += 1

for k, v in h.iteritems():
m = v[0]
n = v[1]
for i in xrange(min(len(m), len(n))):
a[m[i]] = None
b[n[i]] = None

# Remove all None in a, b
frogmelter
Profile Blog Joined April 2009
United States971 Posts
August 29 2012 05:49 GMT
#3191
For an assignment at school, I'm supposed to read in a number and find all the factors and bold the ones that are prime.

This is incredibly simple, except my professor put in

9223372036854775805
9223372036854775806
9223372036854775807

as some of the inputs that we need to test. This obviously takes a super long time to compute. I'm stumped on how I would optimize my code enough so that it would run quickly.

I can think of a clever way to get it to display all the factors, but not to calculate which ones are prime, especially for such a huge number. Can anyone give me some ideas?
TL+ Member
Blisse
Profile Blog Joined July 2010
Canada3710 Posts
Last Edited: 2012-08-29 05:57:42
August 29 2012 05:53 GMT
#3192
On August 29 2012 14:49 frogmelter wrote:
For an assignment at school, I'm supposed to read in a number and find all the factors and bold the ones that are prime.

This is incredibly simple, except my professor put in

9223372036854775805
9223372036854775806
9223372036854775807

as some of the inputs that we need to test. This obviously takes a super long time to compute. I'm stumped on how I would optimize my code enough so that it would run quickly.

I can think of a clever way to get it to display all the factors, but not to calculate which ones are prime, especially for such a huge number. Can anyone give me some ideas?


That's a very... interesting assignment, at least the way it's worded.

By my gut, if you get the prime factorization, from there you can calculate all unique permutations of those that get you something less than the inputted number, which simply gives you all the factors of the number. Since you have the prime factorization, you should have all the primes you need. In my mind though, that seems like it'll take a very long time, but it might not!


Seems like he just wants you to implement a very good prime factorization method. You'll have to make a call on whether you want to make one yourself or just follow the really optimized ones online.
There is no one like you in the universe.
frogmelter
Profile Blog Joined April 2009
United States971 Posts
Last Edited: 2012-08-30 06:38:59
August 29 2012 06:21 GMT
#3193
On August 29 2012 14:53 Blisse wrote:
Show nested quote +
On August 29 2012 14:49 frogmelter wrote:
For an assignment at school, I'm supposed to read in a number and find all the factors and bold the ones that are prime.

This is incredibly simple, except my professor put in

9223372036854775805
9223372036854775806
9223372036854775807

as some of the inputs that we need to test. This obviously takes a super long time to compute. I'm stumped on how I would optimize my code enough so that it would run quickly.

I can think of a clever way to get it to display all the factors, but not to calculate which ones are prime, especially for such a huge number. Can anyone give me some ideas?


That's a very... interesting assignment, at least the way it's worded.

By my gut, if you get the prime factorization, from there you can calculate all unique permutations of those that get you something less than the inputted number, which simply gives you all the factors of the number. Since you have the prime factorization, you should have all the primes you need. In my mind though, that seems like it'll take a very long time, but it might not!


Seems like he just wants you to implement a very good prime factorization method. You'll have to make a call on whether you want to make one yourself or just follow the really optimized ones online.


Calculating all the prime factors is no good, since I need to calculate all the factors as well.

This is what I have so far.

+ Show Spoiler +

public void calcPrime()
{
if (value==2)
{
setPrime(true);
return;
}
if (value%3==0)
{
setPrime(false);
return;
}
if (value%10==5)
{
setPrime(false);
return;
}
if (value%2==0)
{
setPrime(false);
return;
}
if (value==1)
{
setPrime(false);
return;
}
for(long l=3; true; l++)
{
long square = l * l;
if (square > getValue())
{
break;
}
l = getNextTestPrime(l, square);
if (l == -1l)
{
setPrime(false);
return;
}
if(value%l==0)
{
setPrime(false);
return;
}
}
setPrime(true);

}
private Long getNextTestPrime(long l, long square)
{
while (l<square)
{
l=l+2;
if (!(l%3==0||l%5==0))
{
return l;
}
}
return (long) -1;
}


This will only test the numbers that are odd and are not divisible by 3 or end in 5 [the ones that end in 0 are caught by the mod 2 case]

That's about as optimizes as I think I can get. Still no good on the 9 * 10^20 number so far.
TL+ Member
Blisse
Profile Blog Joined July 2010
Canada3710 Posts
Last Edited: 2012-08-29 06:51:38
August 29 2012 06:43 GMT
#3194
On August 29 2012 15:21 frogmelter wrote:
Show nested quote +
On August 29 2012 14:53 Blisse wrote:
On August 29 2012 14:49 frogmelter wrote:
For an assignment at school, I'm supposed to read in a number and find all the factors and bold the ones that are prime.

This is incredibly simple, except my professor put in

9223372036854775805
9223372036854775806
9223372036854775807

as some of the inputs that we need to test. This obviously takes a super long time to compute. I'm stumped on how I would optimize my code enough so that it would run quickly.

I can think of a clever way to get it to display all the factors, but not to calculate which ones are prime, especially for such a huge number. Can anyone give me some ideas?


That's a very... interesting assignment, at least the way it's worded.

By my gut, if you get the prime factorization, from there you can calculate all unique permutations of those that get you something less than the inputted number, which simply gives you all the factors of the number. Since you have the prime factorization, you should have all the primes you need. In my mind though, that seems like it'll take a very long time, but it might not!


Seems like he just wants you to implement a very good prime factorization method. You'll have to make a call on whether you want to make one yourself or just follow the really optimized ones online.


Calculating all the prime factors is no good, since I need to calculate all the factors as well.

This is what I have so far.

+ Show Spoiler +

public void calcPrime()
{
if (value==2)
{
setPrime(true);
return;
}
if (value%3==0)
{
setPrime(false);
return;
}
if (value%10==5)
{
setPrime(false);
return;
}
if (value%2==0)
{
setPrime(false);
return;
}
if (value==1)
{
setPrime(false);
return;
}
for(long l=3; true; l++)
{
long square = l * l;
if (square > getValue())
{
break;
}
l = getNextTestPrime(l, square);
if (l == -1l)
{
setPrime(false);
return;
}
if(value%l==0)
{
setPrime(false);
return;
}
}
setPrime(true);

}
private Long getNextTestPrime(long l, long square)
{
while (l<square)
{
l=l+2;
if (!(l%3==0||l%5==0))
{
return l;
}
}
return (long) -1;
}


This will only test the numbers that are odd and are not divisible by 3 or end in 5 [the ones that end in 0 are caught by the mod 2 case]

That's about as optimizes as I think I can get. Still no good on the 9 * 10^20 number so far.


Hey, yup, I see what you're going for here, but I think you misunderstood my idea.

I'm not in Computer Science, so I don't remember the proof or theorem by heart, but I took a course on proofs which included prime factorization.

Which stated something like, given N = (f1)^(k1) * (f2)^(k2) * ... * (fn)^(kn), where f1, f2 ... fn are all primes, all possible factors can be determined by choosing different exponents, qm, such that 0 <= qm <= km, for 1 <= m <= n.

I'll give an example since that's not super clear.
+ Show Spoiler +


Given 144 = 2^4 * 3^2 is the prime factorization. 2 and 3 are the ONLY prime factors, since that's what the prime factorization gives you.

From there, you have 2, with exponents from 0 to 4, and 3, with exponents from 0 to 2.

So all the factors are,

2^0 * 3^0 = 1
2^1 * 3^0 = 2
2^2 * 3^0 = 4
2^3 * 3^0 = 8
2^4 * 3^0 = 16
2^0 * 3^1 = 3
2^1 * 3^1 = 6
2^2 * 3^1 = 12
2^3 * 3^1 = 24
2^4 * 3^1 = 48
2^0 * 3^2 = 9
2^1 * 3^2 = 18
2^2 * 3^2 = 36
2^3 * 3^2 = 72
2^4 * 3^2 = 144


Hope that's a bit clearer.

1. Find the prime factorization.
2. Use the above method/theorem to calculate all the permutations, which gives you all the factors.

By breaking the problem into parts, it should be a lot less complicated, no?

I wish I remembered the name of the theorem to make it clearer for you.

Best of luck.
There is no one like you in the universe.
tofucake
Profile Blog Joined October 2009
Hyrule19203 Posts
August 29 2012 13:53 GMT
#3195
On August 29 2012 14:49 frogmelter wrote:
For an assignment at school, I'm supposed to read in a number and find all the factors and bold the ones that are prime.

This is incredibly simple, except my professor put in

9223372036854775805
9223372036854775806
9223372036854775807

as some of the inputs that we need to test. This obviously takes a super long time to compute. I'm stumped on how I would optimize my code enough so that it would run quickly.

I can think of a clever way to get it to display all the factors, but not to calculate which ones are prime, especially for such a huge number. Can anyone give me some ideas?

You only need to check primes up to the square root of the number (so 3037000499 for 9223372036854775805)
Liquipediaasante sana squash banana
frogmelter
Profile Blog Joined April 2009
United States971 Posts
August 29 2012 17:07 GMT
#3196
On August 29 2012 15:43 Blisse wrote:
Show nested quote +
On August 29 2012 15:21 frogmelter wrote:
On August 29 2012 14:53 Blisse wrote:
On August 29 2012 14:49 frogmelter wrote:
For an assignment at school, I'm supposed to read in a number and find all the factors and bold the ones that are prime.

This is incredibly simple, except my professor put in

9223372036854775805
9223372036854775806
9223372036854775807

as some of the inputs that we need to test. This obviously takes a super long time to compute. I'm stumped on how I would optimize my code enough so that it would run quickly.

I can think of a clever way to get it to display all the factors, but not to calculate which ones are prime, especially for such a huge number. Can anyone give me some ideas?


That's a very... interesting assignment, at least the way it's worded.

By my gut, if you get the prime factorization, from there you can calculate all unique permutations of those that get you something less than the inputted number, which simply gives you all the factors of the number. Since you have the prime factorization, you should have all the primes you need. In my mind though, that seems like it'll take a very long time, but it might not!


Seems like he just wants you to implement a very good prime factorization method. You'll have to make a call on whether you want to make one yourself or just follow the really optimized ones online.


Calculating all the prime factors is no good, since I need to calculate all the factors as well.

This is what I have so far.

+ Show Spoiler +

public void calcPrime()
{
if (value==2)
{
setPrime(true);
return;
}
if (value%3==0)
{
setPrime(false);
return;
}
if (value%10==5)
{
setPrime(false);
return;
}
if (value%2==0)
{
setPrime(false);
return;
}
if (value==1)
{
setPrime(false);
return;
}
for(long l=3; true; l++)
{
long square = l * l;
if (square > getValue())
{
break;
}
l = getNextTestPrime(l, square);
if (l == -1l)
{
setPrime(false);
return;
}
if(value%l==0)
{
setPrime(false);
return;
}
}
setPrime(true);

}
private Long getNextTestPrime(long l, long square)
{
while (l<square)
{
l=l+2;
if (!(l%3==0||l%5==0))
{
return l;
}
}
return (long) -1;
}


This will only test the numbers that are odd and are not divisible by 3 or end in 5 [the ones that end in 0 are caught by the mod 2 case]

That's about as optimizes as I think I can get. Still no good on the 9 * 10^20 number so far.


Hey, yup, I see what you're going for here, but I think you misunderstood my idea.

I'm not in Computer Science, so I don't remember the proof or theorem by heart, but I took a course on proofs which included prime factorization.

Which stated something like, given N = (f1)^(k1) * (f2)^(k2) * ... * (fn)^(kn), where f1, f2 ... fn are all primes, all possible factors can be determined by choosing different exponents, qm, such that 0 <= qm <= km, for 1 <= m <= n.

I'll give an example since that's not super clear.
+ Show Spoiler +


Given 144 = 2^4 * 3^2 is the prime factorization. 2 and 3 are the ONLY prime factors, since that's what the prime factorization gives you.

From there, you have 2, with exponents from 0 to 4, and 3, with exponents from 0 to 2.

So all the factors are,

2^0 * 3^0 = 1
2^1 * 3^0 = 2
2^2 * 3^0 = 4
2^3 * 3^0 = 8
2^4 * 3^0 = 16
2^0 * 3^1 = 3
2^1 * 3^1 = 6
2^2 * 3^1 = 12
2^3 * 3^1 = 24
2^4 * 3^1 = 48
2^0 * 3^2 = 9
2^1 * 3^2 = 18
2^2 * 3^2 = 36
2^3 * 3^2 = 72
2^4 * 3^2 = 144


Hope that's a bit clearer.

1. Find the prime factorization.
2. Use the above method/theorem to calculate all the permutations, which gives you all the factors.

By breaking the problem into parts, it should be a lot less complicated, no?

I wish I remembered the name of the theorem to make it clearer for you.

Best of luck.


Ah yeah, this makes a lot more sense. My method was trying to brute force it, which clearly wasn't the intended path. Thanks a bunch.
TL+ Member
zzdd
Profile Joined December 2010
United States484 Posts
August 29 2012 18:00 GMT
#3197
On August 29 2012 14:49 frogmelter wrote:
For an assignment at school, I'm supposed to read in a number and find all the factors and bold the ones that are prime.

This is incredibly simple, except my professor put in

9223372036854775805
9223372036854775806
9223372036854775807

as some of the inputs that we need to test. This obviously takes a super long time to compute. I'm stumped on how I would optimize my code enough so that it would run quickly.

I can think of a clever way to get it to display all the factors, but not to calculate which ones are prime, especially for such a huge number. Can anyone give me some ideas?

Look up miller-rabin
nakam
Profile Joined April 2010
Sweden245 Posts
August 29 2012 18:54 GMT
#3198
I'm trying to insert multiple rows into a table (MySQL) using prepared statements. So far this is the best working solution I have:

$sql = "INSERT INTO test VALUES(?)";

$values = array('one','two','three');

if ($stmt = $db -> prepare($sql)) {
foreach ($values as $thisValue) {
$stmt -> bind_param("s", $thisValue);
$stmt -> execute();
}
}

Is it possible to insert all values using only one execution or is this the best I can do?
TL Local Timezone Script - http://www.teamliquid.net/forum/viewmessage.php?topic_id=277156
tofucake
Profile Blog Joined October 2009
Hyrule19203 Posts
August 29 2012 18:58 GMT
#3199
$sql = "INSERT INTO test VALUES(?, ?, ?)";
$values = array('one', 'two', 'three');

if($stmt = $db -> prepare($sql)) $stmt->execute($values);
Liquipediaasante sana squash banana
nakam
Profile Joined April 2010
Sweden245 Posts
August 29 2012 19:17 GMT
#3200
On August 30 2012 03:58 tofucake wrote:
$sql = "INSERT INTO test VALUES(?, ?, ?)";
$values = array('one', 'two', 'three');

if($stmt = $db -> prepare($sql)) $stmt->execute($values);

Well that's if I wanted to insert the values in different columns. I want to insert multiple rows.
TL Local Timezone Script - http://www.teamliquid.net/forum/viewmessage.php?topic_id=277156
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