Matlab

derdaff - 7 juin 2013 à 00:00
 derdaff - 7 juin 2013 à 00:18
Bonjour tout le monde

J'ai un problème concernant une implémentation d'un programme sur la méthode des éléments finis en hydrogéologie en C++, au fait, le programme doit travailler sur une matrice 595x595, et il "crashe" à la compilation ("peut être du à la taille de la matrice", je ne sais pas exactement où est le problème), je veux réécrire le code sous matlab.

Le hic c'est que j'ai 5 fichiers ".txt" que le programme doit lire chaque élément et récupérer le nombre de ligne de chaque fichier.
je cherche un code pour reprogrammer sous un script matlab, merci!

Mes requêtes:
-ouvrir les 5 fichiers .txt dans un script.
-lire chaque élément pour chaque fichier.
-récupérer le nombre de lignes et de colonnes pour chaque fichier .txt
les 5 fichiers .txt dans le dossier zippé sont :
-connectivites (ligne i: valeur(i,1) valeur(i,2) valeur(i,3))
-conditions_aux_limites (ligne i: valeur(i,1) valeur(i,1))
-transmissivites (ligne i: valeur(i,1))
-coordonnees (ligne i: valeur(i,1) valeur(i,2)
-terme_source (ligne i: valeur(i,1))

Merci de votre coopération et bonne journée
PS: voici le code projet utilisé en C++

fichier "main.cpp
#include <cstdlib>
#include 
#include"outils.h"
#include <fstream>
#include <conio.h>
#include <math.h>

using namespace std;

//fonction pour le calcul du nombre de noeuds et de colonnes à partir des fichiers de données
int nbrlignes(char chemin[]) 
{
  string ligne;
  int count=0;
  ifstream fi(chemin);
  if(fi==0) return(0);
  while(!fi.eof()) 
    {
      getline(fi, ligne);
      count++;
    }
  fi.close();
  return(count);
}

int main(int argc, char *argv[])
{   
    ifstream f1("coordonnees.txt");
    ifstream f2("connectivites.txt");
    ifstream f3("terme_source.txt");
    ifstream f4("transmissivites.txt");
    ifstream f5("conditions_aux_limites.txt");
    ofstream g1("resultat1.txt"); //fichier de sortie des résultats de résolution par éléments finis
    
    
    //Recuperer le nombre des noeuds et des triangles a partir des fichiers de donnees
    int NT=nbrlignes("connectivites.txt");
    int NN=nbrlignes("coordonnees.txt");
    int NCL=nbrlignes("conditions_aux_limites.txt");
   
    cout<<" Informations pratiques sur le maillage"<<endl<<endl; 
    cout<<"   Le nombre de triangle de votre maillage est : "<<NT<<"     "<<endl;
    cout<<"   Le nombre de noeud de votre maillage : "<<NN<<"            "<<endl;
    cout<<"   Le nombre de noeud de conditions aux limites : "<<NCL<<"            "<<endl<<endl;
    cout<<" ============================================================================="<<endl;
    system("PAUSE");
    string reponse;
    
  //déclarations des différentes variables 
  tab k(NN,NN),G(NN,NN);
  vect SM(NN),SMG(NN),H(NN),det(NN),TS(NN),X(NN),Y(NN);
  float T[NN];
  int sommet[NT][3],CL[NCL][2];
 
  //initialisation 
  for(int i=0;i<NN;i++)
    {
      for(int j=0;j<NN;j++)
        {
          G(i,j)=0;
        }
    }
  
  for(int i=0;i<NN;i++)
    {
      SMG[i]=0;
      SM[i]=0;
      X[i]=0;
      Y[i]=0;
    }
  
  //lecture du fichier des coordonnées
  if ( !f1 ) 
   {            
      cout << "le fichier des coordonnees est inexistant";
   } 
  else
   { 
      for(int i=0;i<NN;i++)
         f1>>X[i]>>Y[i];
   }
  f1.close();
    
  //lecture du fichier des connectivités 
  if ( !f2 ) 
   {            
      cout << "le fichier des sommets est inexistant";
   } 
  else
   { 
      for(int i=0;i<NT;i++)
        {
           for(int j=0;j<3;j++)
              f2>>sommet[i][j];
        }
   }
  f2.close();
  
  //lecture du fichier des termes source
  if ( !f3 )
   {            
      cout << "le fichier des termes source est inexistant";
   } 
  else 
   { 
      for(int i=0;i<NN;i++)
        {
           f3>>TS[i];
           SM[i]=TS[i];
        }
   }
  f3.close();
           
  //lecture du fichier des transmissivités
  if ( !f4 ) 
     {            
        cout << "le fichier des transmissivites est inexistant";
     } 
  else 
     { 
        for(int i=0;i<NT;i++)
          {
             f4>>T[i];
          }
     }
  f4.close(); 
    
  // lecture du fichier des cnditions aux limites
  if ( !f5 )
     {            
        cout << "le fichier des conditions aux limites est inexistant";
     } 
  else 
     { 
        for(int i=0;i<NCL;i++)
          {
             for(int j=0;j<2;j++)  
                f5>>CL[i][j];        
           }
     }
  f5.close(); 
    
  //Remplissage de la matrice globale elementaire et de la matrice Globale générale
  for(int i=0;i<NT;i++)
      {
         int i1=sommet[i][0]-1, i2=sommet[i][1]-1, i3=sommet[i][2]-1;
       
         det[i]=(2*(((X[i2]-X[i1])*(Y[i3]-Y[i1]))-((X[i3]-X[i1])*(Y[i2]-Y[i1]))));
        
         //élément i1,i1
         k(i1,i1)=((Y[i3]-Y[i2])*(Y[i3]-Y[i2]))+((X[i3]-X[i2])*(X[i3]-X[i2]));
         k(i1,i1)=(k(i1,i1))*(T[i]/det[i]);
         
         //élément i1,i2
         k(i1,i2)=((Y[i3]-Y[i2])*(Y[i1]-Y[i3]))+((X[i3]-X[i2])*(X[i1]-X[i3]));
         k(i1,i2)=(k(i1,i2))*(T[i]/det[i]);
         
         //élément i1,i3
         k(i1,i3)=((Y[i2]-Y[i1])*(Y[i3]-Y[i2]))+((X[i2]-X[i1])*(X[i3]-X[i2]));
         k(i1,i3)=(k(i1,i3))*(T[i]/det[i]);
         
         //élément i2,i2
         k(i2,i2)=((Y[i3]-Y[i1])*(Y[i3]-Y[i1]))+((X[i3]-X[i1])*(X[i3]-X[i1]));
         k(i2,i2)=k(i2,i2)*(T[i]/det[i]);
         
         //élemnt i2,i3
         k(i2,i3)=((Y[i1]-Y[i3])*(Y[i2]-Y[i1]))+((X[i1]-X[i3])*(X[i2]-X[i1]));
         k(i2,i3)=k(i2,i3)*(T[i]/det[i]);
         
         //élément i3,i3
         k(i3,i3)=((Y[i2]-Y[i1])*(Y[i2]-Y[i1]))+((X[i2]-X[i1])*(X[i2]-X[i1]));
         k(i3,i3)=k(i3,i3)*(T[i]/det[i]); 
         
         //la transposé
         k(i2,i1)=k(i1,i2);
         k(i3,i1)=k(i1,i3);
         k(i2,i1)=k(i1,i2);
         k(i3,i2)=k(i2,i3);
         k(i3,i2)=k(i2,i3);
      
         //Assemblage 
         for(int i=0;i<NN;i++)
            {
               for(int j=0;j<NN;j++)
                 {
                   G(i,j)=G(i,j)+k(i,j); 
                   k(i,j)=0;  
                 }
            } 
       
         //second membre 
         for(int i=0;i<NN;i++)
           {
              SMG[i]= SMG[i]+SM[i];
           }
         
         for(int i=0;i<NN;i++)
           {
              SM[i]=0;     
           }
         
      } 
  
  int x;double y;
  
  //introduction des conditions aux limites
  for(int j=0;j<NCL;j++) 
    {
        x=CL[j][0]-1;
        y=CL[j][1];
        for(int i=0;i<NN;i++)
          {
            SMG[i]=SMG[i]-((G(i,x))*y);
            G(i,x)=0;
            G(x,i)=0;
          } 
        SMG[x]=y; 
        G(x,x)=1; 
    }
        
  //resolution du système linéaire 
  gauss_seidel( G ,SMG ,50 ,H,NN);
  
  //Edition du résultat dans un fichier de sortie
  for(int i=0;i<NN;i++)
    {
      g1<<X[i]<<"   "<<Y[i]<<"   "<<H[i]<<endl;
    }
  
  ofstream gg("Matrice_Globale.txt");
  for(int i=0;i<NN;i++)
   {          
      for(int j=0;j<NN;j++)
       {
         gg<<" "<<G(i,j);       
       }
      gg<<endl;
   }  
  
  ofstream hh("Second_Membre.txt");
  for(int i=0;i<NN;i++)
   {          
     hh<<" "<<SMG[i];
     hh<<"\n";     
   }  
  ofstream zz("Piezo_calcule.txt");
  for(int i=0;i<NN;i++)
   {          
     zz<<" "<<H[i];
     zz<<"\n";     
   } 
       
  cout<<"Le second membre est"<<endl<<endl;
  
  for(int i=0;i<NN;i++)cout<<"q"< > (nl)
{  
  nlig=nl;
  ncol=nc;
  vector<double> v(nc);
  for(int i=0;i<nl;i++) 
    (*this)[i]=v;
}

double & tab::operator()(int i,int j) 
{
  if((i<0)||(i>nlig)) 
     i=0 ;
  if((j<0)||(j>ncol)) 
     j=0 ;
  return (*this)[i][j];
}

ostream & operator<<(ostream & os,  tab & t)
{
  for(int i=0;i<t.nlig;i++)
   {
      for(int j=0;j<t.ncol;j++)
       {
         os<<t(i,j)<<" ";
       }
      os<<"\n";
    }
return os ;
} 

ostream & operator<<(ostream & os,vect & v)
{
  vector<double>::iterator iv;
  for (iv=v.begin();iv!=v.end();iv++) 
    os<<*iv<<" ";
  return os ;
}


void gauss_seidel(tab& A,vect& b,int itmax,vect& C,int nv)
{
 int k,i,j;
 float s;
 for(k=0;k
#include <vector>

using namespace std;

class tab:vector<vector<double> >
{
  public :
          int nlig,ncol;
          tab(int nl,int nc);
          double & operator()(int,int);
          friend ostream & operator<<(ostream &, tab &);
};

class vect:public vector<double> 
{
  public :
          vect(int n):vector<double>(n){}
          friend ostream & operator<<(ostream &,vect &);
};

void gauss_seidel( tab& ,vect& ,int ,vect&,int ); 

   
#endif

1 réponse

fichier "coordonnees"
285043 310323
286665 310454
289639 310897
291499 311316
293232 311918
294917 312679
296526 313672
297491 314726
298443 315534
299813 317794
301114 319451
302032 320171
302901 320636
304100 320561
305524 320013
306894 319219
308257 318280
309421 318315
310339 319479
311674 320232
313092 321444
314619 322793
315488 323430
316207 323745
316824 323588
321227 319431
325336 316322
328561 313391
330109 311857
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333499 308823
333718 308001
333835 306789
333458 305550
332575 304433
331671 303612
330356 302680
329554 301530
328931 300530
327945 299503
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322220 295497
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316317 290682
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313496 288683
310674 286122
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309024 284903
308072 283985
303713 281760
297956 278989
293238 276976
287748 275808
283900 275962
279642 277193
277795 278219
276461 279758
276512 280528
280257 283093
285696 288941
286189 290035
286507 291276
285699 295143
285122 297076
284314 299818
284660 303540
284371 304752
283679 305762
280793 308302
279869 308850
279523 309600
279841 310380
280851 310784
281889 310986
282611 310697
309857 303963
303350 294181
305340 310833
313469 311560
321749 305719
295288 301421
315291 298906
301468 304190
295368 293088
292310 287058
310247 294898
308869 313711
289743 305286
299695 309178
307019 290319
328396 307338
320556 301039
299975 288334
325324 303691
315088 304919
295112 306652
301724 312922
304072 316523
305367 300054
305613 306391
308978 309118
291235 297331
299670 299089
316395 320967
310085 299153
313416 316902
314757 294874
324266 310400
287197 282275
290615 292774
330562 307638
283546 308484
287079 307161
317761 296875
298399 305278
302558 308265
310277 290004
305718 286843
289558 289935
288141 301765
319194 310723
296474 296315
305856 313851
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305944 303042
316843 302227
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296590 309544
323354 300603
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288409 285995
312783 292135
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306397 316325
313064 297030
293224 303845
291910 307576
303413 318706
325077 306651
284396 284403
299058 302349
307997 300985
307498 297017
327978 303373
286836 304210
308800 316014
302813 310851
322306 303103
329769 305355
296205 303815
318119 305116
296401 288816
320563 297664
282182 309755
306812 293601
308478 306601
317821 299439
301526 315252
291911 300669
316067 314188
292857 291076
304015 312806
288291 293590
326560 301161
323646 298072
300902 307047
302282 301264
307462 311793
308476 287316
306848 308736
329141 309802
316361 322518
299485 313648
289203 308078
278398 279962
317710 294637
293065 294862
287970 298092
294193 309324
302852 291079
303017 306041
290920 283281
315970 308140
303072 298047
315612 296766
284921 307390
294036 298189
300671 311074
305264 318123
310598 301507
296153 283623
331728 306152
312991 299455
288105 288176
314225 318741
317905 318358
321290 315060
312158 294816
319515 303936
332279 307707
310970 314850
297904 307655
302881 314712
301866 316917
315751 292717
296706 311443
309196 292284
297733 290656
283773 309377
314972 301584
297114 299520
311334 288276
326693 305810
307077 314524
311389 316616
307235 304067
290414 303498
286901 302046
290211 294792
304545 308662
310466 296648
310772 311438
300044 295540
304348 303785
289960 278993
324288 304929
326768 309222
303370 287362
311786 304532
304954 296953
319746 308408
319865 295992
280497 309827
285449 305554
293069 305921
282383 308448
282767 307563
288469 291788
312114 318560
285782 308477
296794 294337
313791 307634
312042 309203
300051 283819
301315 309076
317737 321275
323542 308252
286301 286634
313911 313699
322267 298944
292756 292959
298059 309824
287765 295496
305135 315478
295277 310830
312037 290376
298198 313428
300178 290467
332054 308791
299786 304154
282890 279729
305255 312336
297067 306353
314513 291669
327619 310731
325300 300046
288161 306138
307696 316891
304386 301765
290240 298994
287771 308674
298611 297294
284527 308956
307557 302542
310082 305775
305365 291848
287595 290000
308274 299155
324897 301942
297035 302160
306869 310322
294450 296446
316269 300241
303934 307319
300953 302638
328139 305024
316629 298644
284161 285777
290077 287642
300190 312389
288969 303326
330608 309139
329299 303862
319163 298665
292926 281131
305759 304731
321768 310050
302200 318583
308597 289278
310270 287376
319217 294662
296364 308060
322015 301620
314488 297693
332615 306622
318963 302054
328052 301783
294731 304782
297935 303781
285712 304470
308098 295096
316311 311139
290600 309096
304201 314131
307653 285599
308715 310575
314332 293473
329604 306856
306973 307242
291102 290848
304074 309925
302860 312188
292526 309284
306501 317815
306356 301399
311392 300238
331336 305087
313673 303954
321966 297265
316628 304162
305684 284672
325820 312315
293448 301967
291589 304564
309963 307891
307549 313355
310675 291757
301607 305696
316827 295928
314288 296086
305271 317013
290322 307164
295022 294770
304057 311487
329049 302644
299440 307586
286841 300295
295333 291057
298151 286692
286530 279505
293623 307834
302732 303052
321183 304331
304277 317818
307661 292079
299896 314849
323811 303386
308806 317305
283887 307362
300796 313849
311572 298092
304552 319114
326871 307559
304745 289265
309685 286416
286628 284230
291619 289251
301282 293242
305579 307956
315795 317005
282245 310301
301081 317825
316720 292093
289680 296444
306864 300038
295595 299385
311473 293418
315190 303232
314465 300049
323206 312754
284646 282220
302932 313459
311991 313344
326596 302691
324874 298969
303554 319717
316478 305988
294949 286602
302871 316034
306125 295278
280320 279463
309612 300546
309297 302262
329390 308265
298290 300500
294776 303089
308920 312376
301536 307915
314735 320753
320767 302660
310963 302788
298702 314439
302273 307041
325402 308725
293883 288963
323170 306258
325616 305055
299921 305897
300330 300871
291284 293792
313560 290526
320003 306005
313534 305711
303582 299868
292298 298685
320589 299468
293751 300057
311760 296222
299384 310859
308902 290948
302656 309537
287513 303195
287601 292569
287169 293616
308542 304931
284527 308132
298126 295473
317882 319863
327663 300584
289101 309318
318693 313281
330487 304119
309519 314750
306375 315155
290008 301586
297128 304910
297151 292524
318018 303496
305543 309403
292960 284517
308194 308157
317230 293309
284678 306258
288273 307375
330763 306366
304270 305491
306907 288598
310622 317998
307102 305658
286539 296847
289722 293324
316020 294365
302579 295815
290577 285387
318030 307126
295473 309198
310172 313411
286715 305556
281508 310143
314318 309532
298479 288990
301643 311632
301652 299442
309173 296278
298517 308599
297354 312362
313140 301196
281416 309216
318389 295879
306277 311570
303828 315374
282725 309201
288294 309836
309517 297725
306274 298650
330108 310575
321110 296165
332926 308158
293345 310536
323893 299321
308681 293519
328028 308819
333076 307457
331563 307096
292730 296864
307424 315596
304934 293823
321659 307447
286235 303206
289142 306811
281688 278087
301606 310379
303555 292833
332344 305570
318492 316218
303112 317431
308973 285916
317851 309106
288635 300146
296044 305308
314099 298873
307921 309377
331416 308078
286775 288762
286153 298425
288842 283795
326821 299950
300436 316363
303273 285188
290131 291808
302919 304700
299140 312918
318529 293671
316746 297356
317848 298026
300945 297535
318937 297182
321762 300326
283089 309940
297848 311215
326724 304268
314938 312643
300582 308161
309855 317019
315510 295609
316153 319281
291762 302695
294034 293593
311442 287613
283137 307960
308204 314660
300704 304979
296664 300598
313166 319946
300535 310113
319157 300245
315756 297876
291354 295678
315519 322093
287991 304619
313572 294802
304657 298708
298548 306556
313902 302550
327765 306378
328735 306187
323281 302122
295485 297705
304828 313278
304392 295208
311437 289176
302036 288864
296156 312200
325969 310280
310105 315851
289391 281503
305746 318857
313246 298233
315654 291387
285789 301780
303557 308739
296899 298190
311725 301703
291327 306106
285769 306733
310094 309641
308497 303549
294058 292347
306475 312578
322751 304614
301137 286706
297486 308741
294949 308218
314975 306477
302819 319563
317814 300839
279039 278709
295823 302625
312973 295795
298119 298918
320824 312372
299003 292150
312867 293730
310061 288566
329107 311272
291446 292205
310057 293172
289121 294730
301969 314038
312670 315129
314368 315382
296896 310574

fichier "terme_source"
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fichier "conditions_aux_limites"
1 184
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fichier "connectivites"
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389 141 578
224 467 477
141 389 365
95 306 521
221 350 563
44 45 516
293 130 515
317 552 165
286 579 160
58 580 394
270 543 461
322 444 159
169 349 526
268 230 557
174 295 397
29 30 479
383 584 200
102 378 478
164 571 351
139 336 530
307 138 561
113 589 513
127 331 547
166 426 427
42 480 332
196 329 470
83 356 415
373 198 529
391 408 155
82 525 315
393 158 490
115 429 362
319 505 284
15 16 560
104 338 444
88 408 391
228 353 559
317 126 552
231 555 367
309 579 129
117 342 517
381 547 331
69 313 492
216 548 289
119 406 401
16 327 560
117 472 342
185 509 457
383 300 584
82 315 463
53 247 512
173 284 505
31 32 481
80 496 371
179 342 472
303 215 532
310 432 167
3 433 476
13 389 578
188 517 342
191 465 495
203 481 486
321 152 549
177 345 493
94 321 549
201 544 586
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141 357 499
58 394 494
98 416 577
15 560 365
106 412 466
22 23 542
248 401 526
45 376 445
84 536 379
91 493 345
134 509 369
183 496 279
63 64 507
329 566 470
187 456 519
114 487 448
404 566 193
226 519 456
254 531 571
390 186 458
218 527 451
238 337 567
174 479 295
193 566 329
88 391 443
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160 579 539
106 466 519
85 504 382
401 169 526
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92 526 349
376 562 208
179 516 445
379 536 214
87 531 346
180 346 531
46 562 376
320 135 586
94 549 548
292 457 134
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218 558 527
513 589 323
188 342 528
151 356 573
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21 402 537
305 576 459
303 172 587
386 460 204
87 571 531
104 505 319
379 551 190
137 489 437
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300 124 584
380 340 590
416 245 577
171 572 339
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109 373 594
110 544 343
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382 504 196
86 535 341
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18 527 361
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391 194 443
390 458 154
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205 349 546
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100 363 592
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380 201 586
134 457 509
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107 249 431
289 548 549
58 59 580
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211 440 585
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265 572 473
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138 364 561
237 446 568
231 574 555
174 588 479
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32 486 481
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398 583 214
161 359 511
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247 352 574
90 534 436
79 570 428
106 583 398
264 494 394
149 436 534
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307 561 504
274 476 433
96 555 574
417 187 466
80 456 553
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45 445 516
107 529 402
149 558 436
89 380 590
67 508 453
393 553 233
399 153 581
417 545 187
102 545 417
373 529 199
100 592 385
413 222 541
385 592 206
68 350 508
421 582 201
23 175 542
40 510 432
263 411 535
107 542 175
107 431 529
421 138 582
279 496 490
255 595 523
107 402 542
231 512 574
219 428 570
204 436 558
182 459 576
324 564 424
98 577 390
204 460 436
200 584 434
117 517 518
124 434 584
200 434 498
186 501 458
234 458 501
119 424 564
7 469 556
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68 563 350
89 590 484
191 495 538
172 368 500
290 518 517
80 553 490
105 488 541
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166 591 454
205 575 468
210 484 590
196 504 561
29 479 588
199 529 431
222 454 591
201 582 544
214 583 565
275 565 583
209 523 595
53 512 334
59 178 580
544 582 343
109 594 593
252 593 594
247 574 512
42 332 168
61 62 178
65 66 427
65 427 426
25 26 249
41 168 388
41 42 168
30 31 262
45 46 376
72 239 240
71 72 240
52 53 334
57 58 494
62 63 291
62 291 143
9 10 511
239 533 240
68 69 563
3 476 2
48 49 532
48 532 215
31 481 262
25 249 175
62 143 384
1 212 522
1 522 78
1 276 212
0
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