I used maple to get answer and this is the 'point'
I didn't have 'hosele' to count the zeros. please do it urself!

answer :
260121894356579510020490322708104361119152187501694578572754183785083563
115694738224067857795813045708261992057589224725953664156516205201587379
198458774083252910524469038881188412376434119195104550534665861624327194
019711390984553672727853709934562985558671936977407000370043078375899742
067678401696720784628062922903210716166986726054898844551425719398549944
893959449606404513236214026598619307324936977047760606768067017649166940
303481996188145562519559256691883082551494294759653727484562462882423452
659778973774089646655399243592878621251596748322097602950569669992728467
056374713753301924831358707612541268341586012944756601145542074958995256
354306828863463108496565068277155299625679084523570255218622235813001670
083452344323682193579318470195651072978180435417389056072742804858399591
972902172661229129842051606757903623233769945396419147517556755769539223
380305682530859997744167578435281591346134039460490126954202883834710136
373382448450666009334848444071193129253769465735433737572477223018153403
264717753198453734147867432704845798378661870325740593892421570969599463
055752106320326349320922073832092335630992326750440170176057202601082928
804233560664308988871029738079757801305604957634283868305719066220529117
482251053669775660302957404338798347151855260280533386635713910104633641
976909739743228599421983704697910995630338960467588986579571117656667003
915674815311594398004362539939973120306649060132531130471902889849185620
376666916446879112524919375442584589500031156168297430464114253807489728
172337595538066171980140467793561479363526626568333950976000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000
0000000000000000000


P.S. : I hope other points also count the zeros hidden within the numbers!

It'd be better not to just make a new topic about the problems, there was a topic which you could start and continue your posts there.

your second question was so easy that I wanted to add some nines to make it a little harder

here is the answer (9*9)/(9^2)+9-9+9-9+9-9+9-9+9-9....+9

btw for the code to count the zeros, I decided to make a competition in here, to write an algorythem to count the zeros and the fastest would win . there would be programs with the codes and the time they have given then answer

but I couldn't make my maple written script work , because I couldn't find any int function to change float numbers to integer
if anyone here knows, let me finish my code and start the competition!

my code was something like traditional way and the simplest, but in power of maple I will able to culculate it with percision.

so here is my code for maple

نقل قول:

a:=720!: n:=0: for j while a>1 do a:=a/10: if int(a)=a then n:=n+1 end if: end do: n;

so if you computer guys are interested lets start!

I still persist on a programming competition to solve this problem as fast as possible

I am sorry to say that your answer for 178 was not true!
you didn't count the zeros within the number
here I highlite some! see:
2601218943565795100204903227081043611191521875016945785727541837850835631156947382240678577958130457082619920
5758922472595366415651620520158737919845877408325291052446903888118841237643411919510455
0534665861624327194019711390984553672727853709934562985558671936977407000370043078375899
7420676784016967207846280629229032107161669867260548988445514257193985499448939594496064
0451323621402659861930732493697704776060676806701764916694030348199618814556251955925669
1883082551494294759653727484562462882423452659778973774089646655399243592878621251596748
3220976029505696699927284670563747137533019248313587076125412683415860129447566011455420
7495899525635430682886346310849656506827715529962567908452357025521862223581300167008345
2344323682193579318470195651072978180435417389056072742804858399591972902172661229129842
0516067579036232337699453964191475175567557695392233803056825308599977441675784352815913
4613403946049012695420288383471013637338244845066600933484844407119312925376946573543373
7572477223018153403264717753198453734147867432704845798378661870325740593892421570969599
4630557521063203263493209220738320923356309923267504401701760572026010829288042335606643
0898887102973807975780130560495763428386830571906622052911748225105366977566030295740433
8798347151855260280533386635713910104633641976909739743228599421983704697910995630338960
4675889865795711176566670039156748153115943980043625399399731203066490601325311304719028
8984918562037666691644687911252491937544258458950003115616829743046411425380748972817233
7595538066171980140467793561479363526626568333950976000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000


_____
so the correct answer is 332

here is my script run on maple 10 !





I have tested this code with other numbers and I am sure it works! and it is correct
the evaluation time was about 0.56 sec

I again want other guys with some sophisticated algorythms write a faster program, and It'll be a good competition!

3 * 2 ^ 199