SPOJ Rank Tracker 1.0

Recently, while I was doing a lot of SPOJ in free time, I noticed that ranks and points do vary a lot when you solve more and more problems. Sometimes it drops within 5 minutes and sometimes 5 days, it all depends on what others are upto and how easy the problem was.

And then, when summer break is over people really don't find time to have a look at their status on SPOJ. When one returns after 6 months in a winter break, one finds it discouraging to see the rank drop of hundreds or thousands in some cases. Naturally you would feel "Oh, its gonna take another 40 problems to get ahead!".

But what if you had been a little more updated about whats happening to your rank, won't you have done some more problems, maybe 1 or 2 a day even if you were busy with college or something else. Wondering how bothersome it would be to check SPOJ profile once everyday... well, don't bother anymore for we have an extension for firefox now - SPOJ Rank Tracker, that helps you do the same.
All you need to do is put up a username and it would show you the status of the person. It's as live as you set it to be in the refresh interval, say you ask it to re-check your rank every 2 minutes, it would do so, and would silently sit in a corner in the status bar and let you know what your rank is. All you need to do is turn your eyes a little lower.... .. now don't start thinking that I'm too lazy, so I wrote this thing to save me from some keytaps :-)

Anyways, here is what it looks like in Linux and Windows -


You can find a mention of it on http://www.spoj.pl/ to feel safe about this addon.
You can download it from addons.mozilla.org here - https://addons.mozilla.org/en-US/firefox/addon/12336/

You would probably see it as an experimental addon as, its not yet tested and verified by the addon moderators at Mozilla. For any verification you want to see head on to http://www.spoj.pl/ and checkout the news dated 2009-06-11 16:20:01 for a clarification.

What else? well if you have any performance issues with this addon, or maybe some annoyances that it is creating, do let me know soon. I would try my best to fix the bug as much as I can with as much I know about XUL and extension development stuff.

Well, I don't feel like writing much about this one. But, as far as the experience goes, it was fun indeed, for I always thought writing addons for firefox would be one hell of a hick-up (learning things you don't know... bumping at pebbles on the path). And, guess what, it wasn't at all! In fact XUL and stuff (js, css, ...) that you use to make an addon fit perfectly into my dream of "What if a day would come andd we would be designing UIs for anything on xhtml+css, and giving functionality in the way we do in jQuery?" and the packaging was nothing more than zipping your workspace and changing the extension into a ".xpi". Firefox is a great browser indeed and if you too are looking to play around with addons have a look at these -

• http://ted.mielczarek.org/code/mozilla/extensionwiz/
  this helps you create a scratchpad hello-world-like extension, that you can easily modify, play around and learn more with
  
• http://kb.mozillazine.org/Extension_development
• https://developer.mozilla.org/en/Building_an_Extension
• do checkout #extdev on irc.mozilla.org for guidance and help from other developers who are already into it
• "learning by example" is the best way to go about extdev :)
  

Optimization by Memoization ( not memorization )

To iterate is Human, to Recurse, to Recurse, Divine - unknown

Solving COINS at spoj was a great lesson in recursion. Beautiful may the recursive code seem, but in some cases it is slow as a snail in worst case scenario. Consider finding nth Fibonacci by recursion as an example! And in some cases as in finding p^q, recursion is truly divine god's gift ;P.
Same is the case with COINS, its pretty easy to figure out the function that gets the job done... but give it something like n = 1000000000, poof! it vanishes into a deep slumber!
So, how can we make it work faster... ?
Have you ever noticed that, kids are asked to remember multiplication tables from 2 to 10 when in primary mathematics classes! Ever wondered why to do this mugging up at such a tender age. The answer is in... how we multiply two big numbers (abcd * pqrs). Here every digit i & j is in range of 0 through 9. So, if you've memorized multiplication table for 2 to 9, it will be very easy to get through (abcd * pqrs).
Thats exactly what we will do here. Basically as the problem gets solved for bigger numbers, loads of steps trickle down to maxm() function for small numbers, just like end of roots of a tree. So, here again we will pre-calculate and store maxm(n) in an array for 1<n<9400. Why 9400? Have a look at http://www.spoj.pl/problems/COINS/, you can't write more that 50KB of code! So this weekend I decide to see the real consequence of memoization. Here's the allegro code I wrote to plot time against my COIN's solution. Memoization 9400 values works for the spoj judge. And it seems even memorizing 450 values works amazingly for my Athlon 64 :P

#include <iostream>
#include <allegro.h>
#include <time.h>

using namespace std;
unsigned int a[]={0,1,2,3,4,5,6,7,8,9,10,11,13,13,14,15,17,17,19,19,21,22,23,23,27,27,27,28,30,30,32,32,35,36,36,36,41,41,41,41,44,44,46,46,48,49,49,49,57,57,57,57,57,57,60,60,63,63,63,63,68,68,68,69,74,74,76,76,76,76,76,76,87,87,87,87,87,87,87,87,92,93,93,93,98,98,98,98,101,101,104,104,104,104,104,104,119,119,119,120,120,120,120,120,120,120,120,120,129,129,129,129,134,134,134,134,134,134,134,134,144,144,144,144,144,144,147,147,155,155,155,155,160,160,160,161,161,161,161,161,161,161,161,161,185,185,185,185,185,185,185,185,185,185,185,185,185,185,185,185,193,193,197,197,197,197,197,197,207,207,207,207,207,207,207,207,212,212,212,212,221,221,221,221,221,221,221,221,221,222,222,222,250,250,250,250,250,250,253,253,253,253,253,253,253,253,253,253,253,253,253,253,253,253,253,253,276,276,276,276,276,276,276,276,284,284,284,284,284,284,284,284,284,284,284,284,284,284,284,284,304,304,304,305,305,305,305,305,305,305,305,305,314,314,314,314,327,327,327,327,327,327,327,327,337,337,337,337,337,337,341,341,341,341,341,341,341,341,341,341,341,341,341,341,341,341,341,341,391,391,391,391,391,391,391,391,391,392,392,392,392,392,392,392,392,392,392,392,392,392,392,392,392,392,392,392,392,392,392,392,405,405,405,405,419,419,419,419,419,419,419,419,419,419,419,419,439,439,439,439,439,439,439,439,439,439,439,439,439,439,439,439,447,447,447,447,447,447,447,447,469,469,469,469,469,469,469,469,469,469,469,469,469,469,469,469,469,469,473,473,473,473,473,473,524,524,524,524,524,524,524,524,524,524,524,524,533,533,533,533,533,533,533,533,533,534,534,534,534,534,534,534,534,534,534,534,534,534,534,534,534,534,534,534,534,534,534,534,534,534,534,534,590,590,590,590,590,590,590,590,590,590,590,590,590,590,590,590,603,603,603,603,603,603,603,603,603,603,603,603,603,603,603,603,603,603,603,603,603,603,603,603,603,603,603,603,603,603,603,603,641,641,641,641,641,641,646,646,646,646,646,646,646,646,646,646,646,646,646,646,646,646,646,646,668,668,668,668,668,668,668,668,689,689,689,689,689,689,689,689,689,689,689,689,689,689,689,689,709,709,709,709,709,709,709,709,709,709,709,709,723,723,723,723,723,723,723,723,723,723,723,723,723,723,723,723,723,723,723,723,723,723,723,723,723,723,723,724,724,724,724,724,724,724,724,724,826,826,826,826,826,826,826,826,826,826,826,826,826,826,826,826,826,826,830,830,830,830,830,830,830,830,830,830,830,830,830,830,830,830,830,830,830,830,830,830,830,830,830,830,830,830,830,830,830,830,830,830,830,830,830,830,830,830,830,830,830,830,830,830,851,851,851,851,851,851,851,851,892,892,892,892,892,892,892,892,892,892,892,892,892,892,892,892,892,892,892,892,892,892,892,892,930,930,930,930,930,930,930,930,930,930,930,930,930,930,930,930,930,930,930,930,930,930,930,930,930,930,930,930,930,930,930,930,943,943,943,943,943,943,943,943,943,943,943,943,943,943,943,943,994,994,994,994,994,994,994,994,994,995,995,995,995,995,995,995,995,995,995,995,995,995,995,995,995,995,995,995,995,995,995,995,995,995,995,995,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1101,1101,1101,1101,1101,1101,1101,1101,1101,1101,1101,1101,1101,1101,1101,1101,1101,1101,1101,1101,1101,1101,1101,1101,1123,1123,1123,1123,1123,1123,1123,1123,1123,1123,1123,1123,1123,1123,1123,1123,1123,1123,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1257,1257,1257,1257,1257,1257,1257,1257,1257,1257,1257,1257,1257,1257,1257,1257,1257,1257,1257,1257,1257,1257,1257,1257,1257,1257,1257,1258,1258,1258,1258,1258,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1279,1350,1350,1350,1350,1350,1350,1350,1350,1350,1350,1350,1350,1370,1370,1370,1370,1370,1370,1370,1370,1370,1370,1370,1370,1370,1370,1370,1370,1370,1370,1370,1370,1370,1370,1370,1370,1370,1370,1370,1370,1370,1370,1370,1370,1370,1370,1370,1370,1421,1421,1421,1421,1421,1421,1421,1421,1421,1421,1421,1421,1421,1421,1421,1421,1455,1455,1455,1455,1455,1455,1455,1455,1455,1455,1455,1455,1455,1455,1455,1455,1455,1455,1455,1455,1455,1455,1455,1455,1455,1455,1455,1455,1455,1455,1455,1455,1493,1493,1493,1493,1493,1493,1493,1493,1493,1493,1493,1493,1493,1493,1493,1493,1493,1493,1493,1493,1493,1493,1493,1493,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1533,1538,1538,1538,1538,1538,1538,1538,1538,1538,1538,1538,1538,1538,1538,1538,1538,1538,1538,1741,1741,1741,1741,1741,1741,1741,1741,1741,1741,1741,1741,1741,1741,1741,1741,1741,1741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double lim = 0;

unsigned int maxm(unsigned int n){
// 9400 - size of array
if (n<lim)
 return a[n];

unsigned int p;
p = n/2 + n/3 + n/4;

if (p>n)
 //sort of binary recursion which you should figure out to solve COINS
else
 return n;
}

int main (){
unsigned int n=10,col2,col;
double x=0,px=1,py=760,y;
clock_t start ,stop;

allegro_init();
set_color_depth(32);
set_gfx_mode (GFX_AUTODETECT_WINDOWED,1024,768,0,0);

clear_to_color (screen,makecol(0,0,0));

while (lim<450){
 col = makecol ((lim/450)*250+5,  (lim/450)*255, 100);
 col2=makecol (((lim/450)*250+5)/3,  (lim/450)*255/3, 100/3);
 while (n<310){
  n+=1;
  start = clock();
  maxm(n*20000);
  stop = clock();
  //  cout << stop <<" "<<start << endl;
  y=760-((stop-start)*5);
  rectfill (screen,px,760,px+3,y,col2);
  line (screen,px,py,px+3,y,col);
 
  px+=3;
  py=y;
 }
 lim=lim+5;
 x=0; px=1; py=760;
 n=10;
 cout << lim<<endl;
}
getchar();
}
END_OF_MAIN();

And here's the plot! amazing visible differences...

checkout the drastic improvement from lim=0 to lim=450!

That's all for the Friday research folks!

Hints for SPOJ COINS

Trying out COINS(Bytelandian Gold Coins) at spoj.pl ? not getting it? Try giving life to these cryptic ideas from my scratchpad -
while they speak of recursion, to speed up try memoization technique from dynamic programming.

SPOJ PALIN

#include <iostream>
#include <vector>
using namespace std;

bool compare(vector<int> n1,vector<int> n2,int half){
 // if n1>n2 for problem size(n1) == size(n2)
 for (int i=n1.size()-1;i>=half;i--){
  if (n1[i]!=n2[i])
   return n1[i]>n2[i];
 }
 return false;
}

void work(vector<int>& num, int pos1, int pos2) {
 if (pos1 < 0) {
  num[num.size()-1] = 1;
  num.insert(num.begin(), 1);
  return;
  } else 
 if (num[pos1] < 9) {
        num[pos1] = num[pos2] = num[pos1] + 1;
        return;
    } else {
       num[pos1] = num[pos2] = 0;
        work(num, pos1-1, pos2+1);
        return;
   }
}

main (){
 char n;
 vector<int> num,old;
 int half,ssize;
 
 n=getc(stdin);
 while (n!='\n'){
  num.push_back(n-'0');
  n=getc(stdin);
 }
 while (num.size()>=1 && num[0]!=0){
  old = num;
  ssize=num.size();
  if (ssize%2==0){
   //even
   half=ssize/2;
   //mirror into vector
   for (int i=0;i<half;i++){
    num[ssize-1-i]=num[i];
   }
   if (compare(num,old,half)){
    for (int i=0;i<ssize;i++){
     printf ("%d",num[i]);
    }
    printf ("\n");
   } else {
    work (num,half-1,half);
    ssize=num.size();
    for (int i=0;i<ssize;i++){
     printf ("%d",num[i]);
    }
    printf ("\n");
   }
  } else {
   //odd
   half=ssize/2 ;
   //mirror into vector
   for (int i=0;i<half;i++){
    num[ssize-1-i]=num[i];
   }
   if (compare(num,old,half)){
    for (int i=0;i<ssize;i++){
     printf ("%d",num[i]);
    }
    printf ("\n");
   } else {
    work (num,half,half);
    ssize=num.size();
    for (int i=0;i<ssize;i++){
     printf ("%d",num[i]);
    }
    printf ("\n");
   }
  }
  num.clear();
  n=getc(stdin);
  while (n!='\n'){
   num.push_back(n-'0');
   n=getc(stdin);
  }
 }
}

Don't start smiling at the code above, thinking that you've got the solution!
The problem with the above is that its a TLE for SPOJ. If you can spot or fix the problem with the code, the points are free for you to grab. And if you are a little benevolent then do consider hinting me too on the shortcomings of this problem.
Adios

KAMIL! jumping from 57 to 53 to 46!

Okay this is what made me happy about ruby -

10.times do
s=gets
p=1
s.gsub(/[DTFL]/){p*=2}
puts p
end

this made me happier :) to 53 bytes
i just remembered that Ruby is object oriented to the core!

10.times do
p=1
gets.gsub(/[DTFL]/){p*=2}
puts p
end

and some common syntax sense made it shrink to 48 bytes :))

10.times{p=1;gets.gsub(/[DTFL]/){p*=2}
puts p}

Still i know there is a shorter solution... that's the beauty of spoj.
The day ends in world rank of 1900 and 1.4 points. :)

KAMIL ... stuck at 57

Another challenge problem at SPOJ - KAMIL
interesting one, easy to figure out, but what the heck, write shortest code!
with C i could get 127 bytes code :(
Come Ruby into picture and poof! we got 57!

10.times do
s=gets
p=1
s.gsub(/[DTFL]/){p*=2}
puts p
end

looking forward for more compression... ;)