101:@0.916858:0.966074:0.945034:0.966074:0.945034:0.949450:0.916858:0.949450:0.000000:0.000000:0.000000
Ejemplo 1:@0.095800:0.131275:0.165306:0.131275:0.165306:0.116162:0.095800:0.116162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Multiplicar los siguientes monomios.:@0.095800:0.155313:0.363882:0.155313:0.363882:0.139643:0.095800:0.139643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.124289:0.201672:0.143529:0.201672:0.143529:0.184537:0.124289:0.184537:0.000000:0.000000:0.000000
ab:@0.166030:0.201670:0.190631:0.201670:0.190631:0.185309:0.166030:0.185309:0.000000:0.000000
4:@0.156135:0.201670:0.165128:0.201670:0.165128:0.186000:0.156135:0.186000:0.000000
2:@0.175873:0.194007:0.181084:0.194007:0.181084:0.184926:0.175873:0.184926:0.000000
 :@0.194665:0.204184:0.198701:0.204184:0.198701:0.188515:0.194665:0.188515:0.000000
con 8:@0.198701:0.201667:0.242247:0.201670:0.242247:0.186000:0.198701:0.185998:0.000000:0.000000:0.000000:0.000000:0.000000
ab:@0.242782:0.201670:0.267180:0.201670:0.267180:0.185309:0.242782:0.185309:0.000000:0.000000
36:@0.252624:0.194007:0.273171:0.194007:0.273171:0.184926:0.252624:0.184926:0.000000:0.000000
 :@0.277543:0.201670:0.281578:0.201670:0.281578:0.186000:0.277543:0.186000:0.000000
b)   :@0.337027:0.201670:0.364853:0.201670:0.364853:0.184534:0.337027:0.184534:0.000000:0.000000:0.000000:0.000000:0.000000
xy:@0.387633:0.201670:0.410981:0.201670:0.410981:0.185309:0.387633:0.185309:0.000000:0.000000
5:@0.377791:0.201670:0.386784:0.201670:0.386784:0.186000:0.377791:0.186000:0.000000
5:@0.396743:0.194007:0.401955:0.194007:0.401955:0.184926:0.396743:0.184926:0.000000
−:@0.367845:0.202348:0.377962:0.202348:0.377962:0.186775:0.367845:0.186775:0.000000
 :@0.415112:0.207963:0.418834:0.207963:0.418834:0.190827:0.415112:0.190827:0.000000
con :@0.418834:0.201670:0.450769:0.201670:0.450769:0.186000:0.418834:0.186000:0.000000:0.000000:0.000000:0.000000
yz:@0.475745:0.201670:0.504456:0.201670:0.504456:0.185309:0.475745:0.185309:0.000000:0.000000
3:@0.459047:0.192712:0.468039:0.192712:0.468039:0.177042:0.459047:0.177042:0.000000
10:@0.453706:0.212159:0.471489:0.212159:0.471489:0.196490:0.453706:0.196490:0.000000:0.000000
53:@0.490823:0.194007:0.511114:0.194007:0.511114:0.184926:0.490823:0.184926:0.000000:0.000000
−:@0.485065:0.194400:0.490928:0.194400:0.490928:0.185375:0.485065:0.185375:0.000000
 :@0.514433:0.215500:0.518469:0.215500:0.518469:0.199830:0.514433:0.199830:0.000000
 y con  :@0.518469:0.201670:0.570619:0.201670:0.570619:0.186000:0.518469:0.186000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mx z:@0.599045:0.201670:0.642516:0.201670:0.642516:0.185309:0.599045:0.185309:0.000000:0.000000:0.000000:0.000000
1:@0.588043:0.192708:0.597036:0.192708:0.597036:0.177038:0.588043:0.177038:0.000000
6:@0.587266:0.212159:0.596259:0.212159:0.596259:0.196490:0.587266:0.196490:0.000000
23:@0.628676:0.194007:0.649171:0.194007:0.649171:0.184926:0.628676:0.184926:0.000000:0.000000
−:@0.573603:0.202348:0.583720:0.202348:0.583720:0.186775:0.573603:0.186775:0.000000
−:@0.622917:0.194400:0.628780:0.194400:0.628780:0.185375:0.622917:0.185375:0.000000
Solución:@0.095800:0.238658:0.156461:0.238658:0.156461:0.223546:0.095800:0.223546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.124292:0.269989:0.139808:0.269989:0.139808:0.252853:0.124292:0.252853:0.000000:0.000000
 :@0.139808:0.276282:0.143530:0.276282:0.143530:0.259146:0.139808:0.259146:0.000000
ab ab:@0.166030:0.269989:0.232573:0.269989:0.232573:0.253628:0.166030:0.253628:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.300884:0.269989:0.310153:0.269989:0.310153:0.253628:0.300884:0.253628:0.000000
b:@0.340411:0.269989:0.349680:0.269989:0.349680:0.253628:0.340411:0.253628:0.000000
ab:@0.407009:0.269989:0.431407:0.269989:0.431407:0.253628:0.407009:0.253628:0.000000:0.000000
4:@0.156135:0.269989:0.165128:0.269989:0.165128:0.254319:0.156135:0.254319:0.000000
8:@0.198647:0.269989:0.207640:0.269989:0.207640:0.254319:0.198647:0.254319:0.000000
(4 8)(:@0.256602:0.269989:0.299705:0.269989:0.299705:0.254319:0.256602:0.254319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
)(:@0.330110:0.269989:0.339600:0.269989:0.339600:0.254319:0.330110:0.254319:0.000000:0.000000
) 32:@0.368016:0.269989:0.406843:0.269989:0.406843:0.254319:0.368016:0.254319:0.000000:0.000000:0.000000:0.000000
2:@0.175873:0.262328:0.181084:0.262328:0.181084:0.253247:0.175873:0.253247:0.000000
3 6:@0.218015:0.262328:0.238562:0.262328:0.238562:0.253247:0.218015:0.253247:0.000000:0.000000:0.000000
2 3:@0.310724:0.262328:0.327823:0.262328:0.327823:0.253247:0.310724:0.253247:0.000000:0.000000:0.000000
1 6:@0.349577:0.262328:0.365307:0.262328:0.365307:0.253247:0.349577:0.253247:0.000000:0.000000:0.000000
5 7:@0.416847:0.262328:0.436977:0.262328:0.436977:0.253247:0.416847:0.253247:0.000000:0.000000:0.000000
⋅:@0.192677:0.270667:0.197284:0.270667:0.197284:0.255094:0.192677:0.255094:0.000000
=:@0.243611:0.270667:0.253728:0.270667:0.253728:0.255094:0.243611:0.255094:0.000000
⋅:@0.274345:0.270667:0.278952:0.270667:0.278952:0.255094:0.274345:0.255094:0.000000
=:@0.375642:0.270667:0.385758:0.270667:0.385758:0.255094:0.375642:0.255094:0.000000
+:@0.316226:0.262721:0.322089:0.262721:0.322089:0.253696:0.316226:0.253696:0.000000
+:@0.353498:0.262721:0.359361:0.262721:0.359361:0.253696:0.353498:0.253696:0.000000
b):@0.124292:0.310058:0.140950:0.310058:0.140950:0.292922:0.124292:0.292922:0.000000:0.000000
 :@0.140950:0.325147:0.144673:0.325147:0.144673:0.308011:0.140950:0.308011:0.000000
5:@0.175027:0.307758:0.184019:0.307758:0.184019:0.292089:0.175027:0.292089:0.000000
x y:@0.182618:0.307757:0.207636:0.307757:0.212855:0.292087:0.187838:0.292087:0.000000:0.000000:0.000000
5:@0.194397:0.300096:0.199609:0.300096:0.199609:0.291015:0.194397:0.291015:0.000000
(:@0.155291:0.313153:0.161427:0.313153:0.161427:0.288548:0.155291:0.288548:0.000000
):@0.212140:0.313153:0.218276:0.313153:0.218276:0.288548:0.212140:0.288548:0.000000
3:@0.231985:0.299311:0.240977:0.299311:0.240977:0.283641:0.231985:0.283641:0.000000
10:@0.226641:0.318645:0.244423:0.318645:0.244423:0.302976:0.226641:0.302976:0.000000:0.000000
y z:@0.246957:0.307757:0.277105:0.307757:0.282324:0.292087:0.252177:0.292087:0.000000:0.000000:0.000000
5:@0.265280:0.300096:0.270492:0.300096:0.270492:0.291015:0.265280:0.291015:0.000000
3:@0.281456:0.300096:0.286668:0.300096:0.286668:0.291015:0.281456:0.291015:0.000000
1:@0.319358:0.299311:0.328351:0.299311:0.328351:0.283641:0.319358:0.283641:0.000000
6:@0.318566:0.318645:0.327559:0.318645:0.327559:0.302976:0.318566:0.302976:0.000000
mx z:@0.328206:0.307757:0.372751:0.307757:0.377971:0.292087:0.333426:0.292087:0.000000:0.000000:0.000000:0.000000
2:@0.360717:0.300096:0.365928:0.300096:0.365928:0.291015:0.360717:0.291015:0.000000
3:@0.377102:0.300096:0.382314:0.300096:0.382314:0.291015:0.377102:0.291015:0.000000
=:@0.393593:0.308436:0.403710:0.308436:0.403710:0.292863:0.393593:0.292863:0.000000
5:@0.426627:0.307758:0.435620:0.307758:0.435620:0.292089:0.426627:0.292089:0.000000
3:@0.459295:0.299311:0.468287:0.299311:0.468287:0.283641:0.459295:0.283641:0.000000
10:@0.453951:0.318645:0.471733:0.318645:0.471733:0.302976:0.453951:0.302976:0.000000:0.000000
1:@0.506463:0.299311:0.515455:0.299311:0.515455:0.283641:0.506463:0.283641:0.000000
6:@0.505670:0.318645:0.514663:0.318645:0.514663:0.302976:0.505670:0.302976:0.000000
x:@0.530126:0.307757:0.538032:0.307757:0.543251:0.292087:0.535346:0.292087:0.000000
5:@0.541904:0.300096:0.547116:0.300096:0.547116:0.291015:0.541904:0.291015:0.000000
2:@0.558918:0.300096:0.564129:0.300096:0.564129:0.291015:0.558918:0.291015:0.000000
(:@0.524471:0.313153:0.530608:0.313153:0.530608:0.288548:0.524471:0.288548:0.000000
)(:@0.566136:0.313153:0.579294:0.313153:0.579294:0.288548:0.566136:0.288548:0.000000:0.000000
y:@0.579546:0.307757:0.587654:0.307757:0.592874:0.292087:0.584766:0.292087:0.000000
1 5:@0.591429:0.300096:0.612293:0.300096:0.612293:0.291015:0.591429:0.291015:0.000000:0.000000:0.000000
)(:@0.614104:0.313153:0.627247:0.313153:0.627247:0.288548:0.614104:0.288548:0.000000:0.000000
z:@0.626766:0.307757:0.634192:0.307757:0.639412:0.292087:0.631985:0.292087:0.000000
3:@0.638545:0.300096:0.643757:0.300096:0.643757:0.291015:0.638545:0.291015:0.000000
+:@0.646395:0.300489:0.652258:0.300489:0.652258:0.291464:0.646395:0.291464:0.000000
3:@0.655344:0.300096:0.660556:0.300096:0.660556:0.291015:0.655344:0.291015:0.000000
):@0.662371:0.313153:0.668507:0.313153:0.668507:0.288548:0.662371:0.288548:0.000000
xy z:@0.429539:0.357672:0.474742:0.357672:0.474742:0.341311:0.429539:0.341311:0.000000:0.000000:0.000000:0.000000
1:@0.416713:0.348710:0.425706:0.348710:0.425706:0.333040:0.416713:0.333040:0.000000
4:@0.415928:0.368162:0.424920:0.368162:0.424920:0.352492:0.415928:0.352492:0.000000
3:@0.438649:0.350010:0.443861:0.350010:0.443861:0.340928:0.438649:0.340928:0.000000
4:@0.460478:0.350010:0.465690:0.350010:0.465690:0.340928:0.460478:0.340928:0.000000
6:@0.476391:0.350010:0.481603:0.350010:0.481603:0.340928:0.476391:0.340928:0.000000
=:@0.400328:0.358350:0.410445:0.358350:0.410445:0.342777:0.400328:0.342777:0.000000
−:@0.454721:0.350402:0.460584:0.350402:0.460584:0.341377:0.454721:0.341377:0.000000
Ejemplo 2:@0.095800:0.484737:0.165306:0.484737:0.165306:0.469625:0.095800:0.469625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Realizar las operaciones.:@0.095800:0.508776:0.271983:0.508776:0.271983:0.493106:0.095800:0.493106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.124289:0.537529:0.139805:0.537529:0.139805:0.520393:0.124289:0.520393:0.000000:0.000000
 :@0.139806:0.543822:0.143529:0.543822:0.143529:0.526686:0.139806:0.526686:0.000000
ab:@0.179746:0.536272:0.204144:0.536272:0.204144:0.519910:0.179746:0.519910:0.000000:0.000000
ab:@0.230477:0.536272:0.248960:0.536272:0.248960:0.519910:0.230477:0.519910:0.000000:0.000000
5(:@0.165722:0.536272:0.178566:0.536272:0.178566:0.520602:0.165722:0.520602:0.000000:0.000000
4:@0.220580:0.536272:0.229572:0.536272:0.229572:0.520602:0.220580:0.520602:0.000000
1):@0.270777:0.536272:0.282473:0.536272:0.282473:0.520602:0.270777:0.520602:0.000000:0.000000
5:@0.189588:0.528610:0.194799:0.528610:0.194799:0.519529:0.189588:0.519529:0.000000
2:@0.249533:0.528610:0.254744:0.528610:0.254744:0.519529:0.249533:0.519529:0.000000
−:@0.155770:0.536949:0.165886:0.536949:0.165886:0.521376:0.155770:0.521376:0.000000
−:@0.206962:0.536949:0.217078:0.536949:0.217078:0.521376:0.206962:0.521376:0.000000
+:@0.259057:0.536949:0.269173:0.536949:0.269173:0.521376:0.259057:0.521376:0.000000
 :@0.285132:0.543809:0.288854:0.543809:0.288854:0.526673:0.285132:0.526673:0.000000
c):@0.337042:0.537516:0.351139:0.537516:0.351139:0.520381:0.337042:0.520381:0.000000:0.000000
   :@0.351139:0.543809:0.362307:0.543809:0.362307:0.526673:0.351139:0.526673:0.000000:0.000000:0.000000
b):@0.124292:0.570054:0.140950:0.570054:0.140950:0.552918:0.124292:0.552918:0.000000:0.000000
   :@0.140950:0.576347:0.156503:0.576347:0.156503:0.559211:0.140950:0.559211:0.000000:0.000000:0.000000
mn:@0.167867:0.570054:0.198106:0.570054:0.198106:0.553693:0.167867:0.553693:0.000000:0.000000
m:@0.231534:0.570054:0.246166:0.570054:0.246166:0.553693:0.231534:0.553693:0.000000
n:@0.270693:0.570054:0.280201:0.570054:0.280201:0.553693:0.270693:0.553693:0.000000
7:@0.158708:0.570054:0.167701:0.570054:0.167701:0.554384:0.158708:0.554384:0.000000
2:@0.222726:0.570054:0.231718:0.570054:0.231718:0.554384:0.222726:0.554384:0.000000
2:@0.261524:0.570054:0.270517:0.570054:0.270517:0.554384:0.261524:0.554384:0.000000
6:@0.295652:0.570054:0.304645:0.570054:0.304645:0.554384:0.295652:0.554384:0.000000
23:@0.182734:0.562393:0.203282:0.562393:0.203282:0.553312:0.182734:0.553312:0.000000:0.000000
(:@0.205559:0.572603:0.211696:0.572603:0.211696:0.552203:0.205559:0.552203:0.000000
):@0.305548:0.572603:0.311684:0.572603:0.311684:0.552203:0.305548:0.552203:0.000000
−:@0.212785:0.570732:0.222902:0.570732:0.222902:0.555159:0.212785:0.555159:0.000000
+:@0.248645:0.570732:0.258762:0.570732:0.258762:0.555159:0.248645:0.555159:0.000000
−:@0.282404:0.570732:0.292521:0.570732:0.292521:0.555159:0.282404:0.555159:0.000000
Solución:@0.095800:0.598243:0.156461:0.598243:0.156461:0.583130:0.095800:0.583130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En  los  tres  casos  aplicaremos  la  propiedad  distributiva  e  iremos  multiplicando  :@0.095800:0.622281:0.698181:0.622281:0.698181:0.606611:0.095800:0.606611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
monomio por monomio.:@0.095800:0.638877:0.278803:0.638877:0.278803:0.623208:0.095800:0.623208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.124289:0.699911:0.139805:0.699911:0.139805:0.682775:0.124289:0.682775:0.000000:0.000000
 :@0.139806:0.707448:0.143529:0.707448:0.143529:0.690312:0.139806:0.690312:0.000000
(:@0.174826:0.703461:0.180962:0.703461:0.180962:0.678233:0.174826:0.678233:0.000000
):@0.279900:0.703461:0.286036:0.703461:0.286036:0.678233:0.279900:0.678233:0.000000
−:@0.155770:0.699326:0.165886:0.699326:0.165886:0.683753:0.155770:0.683753:0.000000
−:@0.209265:0.699326:0.219382:0.699326:0.219382:0.683753:0.209265:0.683753:0.000000
+= −:@0.261360:0.699326:0.312570:0.699326:0.312570:0.683753:0.261360:0.683753:0.000000:0.000000:0.000000:0.000000
+:@0.348375:0.699326:0.358492:0.699326:0.358492:0.683753:0.348375:0.683753:0.000000
−:@0.408155:0.699326:0.418271:0.699326:0.418271:0.683753:0.408155:0.683753:0.000000
ab:@0.182047:0.698648:0.206446:0.698648:0.206446:0.682287:0.182047:0.682287:0.000000:0.000000
ab:@0.232779:0.698648:0.251262:0.698648:0.251262:0.682287:0.232779:0.682287:0.000000:0.000000
ab:@0.321139:0.698648:0.345537:0.698648:0.345537:0.682287:0.321139:0.682287:0.000000:0.000000
ab:@0.379555:0.698648:0.398038:0.698648:0.398038:0.682287:0.379555:0.682287:0.000000:0.000000
5:@0.165702:0.698648:0.174695:0.698648:0.174695:0.682978:0.165702:0.682978:0.000000
4:@0.222865:0.698648:0.231857:0.698648:0.231857:0.682978:0.222865:0.682978:0.000000
1:@0.273080:0.698648:0.282073:0.698648:0.282073:0.682978:0.273080:0.682978:0.000000
5:@0.312405:0.698648:0.321397:0.698648:0.321397:0.682978:0.312405:0.682978:0.000000
20:@0.361238:0.698648:0.379020:0.698648:0.379020:0.682978:0.361238:0.682978:0.000000:0.000000
5:@0.421017:0.698648:0.430010:0.698648:0.430010:0.682978:0.421017:0.682978:0.000000
5:@0.191891:0.690986:0.197103:0.690986:0.197103:0.681905:0.191891:0.681905:0.000000
2:@0.251836:0.690986:0.257048:0.690986:0.257048:0.681905:0.251836:0.681905:0.000000
5:@0.330988:0.690986:0.336200:0.690986:0.336200:0.681905:0.330988:0.681905:0.000000
2:@0.398622:0.690986:0.403834:0.690986:0.403834:0.681905:0.398622:0.681905:0.000000
b):@0.124292:0.756155:0.140950:0.756155:0.140950:0.739019:0.124292:0.739019:0.000000:0.000000
 :@0.140950:0.763692:0.144673:0.763692:0.144673:0.746556:0.140950:0.746556:0.000000
(:@0.201839:0.758704:0.207975:0.758704:0.207975:0.738303:0.201839:0.738303:0.000000
):@0.301827:0.758704:0.307964:0.758704:0.307964:0.738303:0.301827:0.738303:0.000000
−:@0.209062:0.756832:0.219179:0.756832:0.219179:0.741259:0.209062:0.741259:0.000000
+:@0.244923:0.756832:0.255039:0.756832:0.255039:0.741259:0.244923:0.741259:0.000000
−:@0.278682:0.756832:0.288799:0.756832:0.288799:0.741259:0.278682:0.741259:0.000000
= −:@0.310617:0.756832:0.334499:0.756832:0.334499:0.741259:0.310617:0.741259:0.000000:0.000000:0.000000
+:@0.391975:0.756832:0.402092:0.756832:0.402092:0.741259:0.391975:0.741259:0.000000
−:@0.462590:0.756832:0.472707:0.756832:0.472707:0.741259:0.462590:0.741259:0.000000
mn:@0.164136:0.756155:0.194376:0.756155:0.194376:0.739793:0.164136:0.739793:0.000000:0.000000
m:@0.227803:0.756155:0.242435:0.756155:0.242435:0.739793:0.227803:0.739793:0.000000
n:@0.266962:0.756155:0.276471:0.756155:0.276471:0.739793:0.266962:0.739793:0.000000
mn:@0.352669:0.756155:0.382706:0.756155:0.382706:0.739793:0.352669:0.739793:0.000000:0.000000
mn:@0.422031:0.756155:0.452270:0.756155:0.452270:0.739793:0.422031:0.739793:0.000000:0.000000
mn:@0.493806:0.756155:0.524046:0.756155:0.524046:0.739793:0.493806:0.739793:0.000000:0.000000
7:@0.154996:0.756155:0.163988:0.756155:0.163988:0.740485:0.154996:0.740485:0.000000
2:@0.219013:0.756155:0.228006:0.756155:0.228006:0.740485:0.219013:0.740485:0.000000
2:@0.257822:0.756155:0.266815:0.756155:0.266815:0.740485:0.257822:0.740485:0.000000
6:@0.291950:0.756155:0.300943:0.756155:0.300943:0.740485:0.291950:0.740485:0.000000
14:@0.334352:0.756155:0.352135:0.756155:0.352135:0.740485:0.334352:0.740485:0.000000:0.000000
14:@0.403714:0.756155:0.421496:0.756155:0.421496:0.740485:0.403714:0.740485:0.000000:0.000000
42:@0.476226:0.756155:0.494009:0.756155:0.494009:0.740485:0.476226:0.740485:0.000000:0.000000
23:@0.179014:0.748494:0.199561:0.748494:0.199561:0.739412:0.179014:0.739412:0.000000:0.000000
33:@0.367531:0.748494:0.387876:0.748494:0.387876:0.739412:0.367531:0.739412:0.000000:0.000000
24:@0.436895:0.748494:0.457870:0.748494:0.457870:0.739412:0.436895:0.739412:0.000000:0.000000
23:@0.508669:0.748494:0.529217:0.748494:0.529217:0.739412:0.508669:0.739412:0.000000:0.000000
c):@0.124292:0.814920:0.138389:0.814920:0.138389:0.797784:0.124292:0.797784:0.000000:0.000000
 :@0.138389:0.822457:0.142111:0.822457:0.142111:0.805321:0.138389:0.805321:0.000000
(:@0.154984:0.818476:0.161120:0.818476:0.161120:0.793247:0.154984:0.793247:0.000000
):@0.243363:0.818476:0.249499:0.818476:0.249499:0.793247:0.243363:0.793247:0.000000
(:@0.249792:0.816210:0.255929:0.816210:0.255929:0.795810:0.249792:0.795810:0.000000
):@0.292618:0.816210:0.298755:0.816210:0.298755:0.795810:0.292618:0.795810:0.000000
+:@0.190321:0.814340:0.200438:0.814340:0.200438:0.798767:0.190321:0.798767:0.000000
−:@0.224818:0.814340:0.234935:0.814340:0.234935:0.798767:0.224818:0.798767:0.000000
−:@0.269468:0.814340:0.279585:0.814340:0.279585:0.798767:0.269468:0.798767:0.000000
=:@0.301403:0.814340:0.311520:0.814340:0.311520:0.798767:0.301403:0.798767:0.000000
−:@0.343068:0.814340:0.353185:0.814340:0.353185:0.798767:0.343068:0.798767:0.000000
+:@0.392860:0.814340:0.402976:0.814340:0.402976:0.798767:0.392860:0.798767:0.000000
−:@0.434635:0.814340:0.444752:0.814340:0.444752:0.798767:0.434635:0.798767:0.000000
− +:@0.476779:0.814340:0.512602:0.814340:0.512602:0.798767:0.476779:0.798767:0.000000:0.000000:0.000000
x:@0.171673:0.813662:0.179136:0.813662:0.179136:0.797301:0.171673:0.797301:0.000000
x:@0.213448:0.813662:0.220911:0.813662:0.220911:0.797301:0.213448:0.797301:0.000000
x:@0.258098:0.813662:0.265562:0.813662:0.265562:0.797301:0.258098:0.797301:0.000000
x:@0.324641:0.813662:0.332104:0.813662:0.332104:0.797301:0.324641:0.797301:0.000000
x:@0.374211:0.813662:0.381674:0.813662:0.381674:0.797301:0.374211:0.797301:0.000000
x:@0.415986:0.813662:0.423450:0.813662:0.423450:0.797301:0.415986:0.797301:0.000000
xx:@0.465409:0.813662:0.498579:0.813662:0.498579:0.797301:0.465409:0.797301:0.000000:0.000000
3:@0.161832:0.813662:0.170825:0.813662:0.170825:0.797993:0.161832:0.797993:0.000000
2:@0.203184:0.813662:0.212177:0.813662:0.212177:0.797993:0.203184:0.797993:0.000000
1:@0.236538:0.813662:0.245531:0.813662:0.245531:0.797993:0.236538:0.797993:0.000000
6:@0.282718:0.813662:0.291710:0.813662:0.291710:0.797993:0.282718:0.797993:0.000000
3:@0.314800:0.813662:0.323793:0.813662:0.323793:0.797993:0.314800:0.797993:0.000000
18:@0.354807:0.813662:0.372589:0.813662:0.372589:0.797993:0.354807:0.797993:0.000000:0.000000
2:@0.405741:0.813662:0.414733:0.813662:0.414733:0.797993:0.405741:0.797993:0.000000
12:@0.446355:0.813662:0.464138:0.813662:0.464138:0.797993:0.446355:0.797993:0.000000:0.000000
6:@0.515717:0.813662:0.524709:0.813662:0.524709:0.797993:0.515717:0.797993:0.000000
2:@0.180793:0.806000:0.186004:0.806000:0.186004:0.796919:0.180793:0.796919:0.000000
3:@0.333768:0.806000:0.338980:0.806000:0.338980:0.796919:0.333768:0.796919:0.000000
2:@0.383343:0.806000:0.388555:0.806000:0.388555:0.796919:0.383343:0.796919:0.000000
2:@0.425122:0.806000:0.430334:0.806000:0.430334:0.796919:0.425122:0.796919:0.000000
Como podemos observar, este polinomio resultante tiene términos semejantes, :@0.095800:0.860859:0.698231:0.860859:0.698231:0.845189:0.095800:0.845189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los cuales deben ser reducidos.:@0.095800:0.877455:0.323562:0.877455:0.323562:0.861786:0.095800:0.861786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.108260:0.902438:0.115723:0.902438:0.115723:0.886077:0.108260:0.886077:0.000000
x:@0.157830:0.902438:0.165293:0.902438:0.165293:0.886077:0.157830:0.886077:0.000000
x:@0.206829:0.902438:0.214292:0.902438:0.214292:0.886077:0.206829:0.886077:0.000000
3:@0.098401:0.902438:0.107394:0.902438:0.107394:0.886768:0.098401:0.886768:0.000000
16:@0.138407:0.902438:0.156190:0.902438:0.156190:0.886768:0.138407:0.886768:0.000000:0.000000
13:@0.188181:0.902438:0.205982:0.902438:0.205982:0.886768:0.188181:0.886768:0.000000:0.000000
6:@0.231430:0.902438:0.240423:0.902438:0.240423:0.886768:0.231430:0.886768:0.000000
3:@0.117369:0.894775:0.122581:0.894775:0.122581:0.885694:0.117369:0.885694:0.000000
2:@0.166944:0.894775:0.172156:0.894775:0.172156:0.885694:0.166944:0.885694:0.000000
−:@0.126687:0.903116:0.136804:0.903116:0.136804:0.887543:0.126687:0.887543:0.000000
−:@0.176479:0.903116:0.186596:0.903116:0.186596:0.887543:0.176479:0.887543:0.000000
+:@0.218199:0.903116:0.228316:0.903116:0.228316:0.887543:0.218199:0.887543:0.000000
En la multiplicación de un número por un polinomio, un monomio por un :@0.107485:0.415319:0.679347:0.415319:0.679347:0.399649:0.107485:0.399649:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
polinomio o un polinomio por otro, aplicamos la propiedad distributiva.:@0.104132:0.431916:0.629828:0.431916:0.629828:0.416246:0.104132:0.416246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La  multiplicación de :@0.733044:0.165328:0.875154:0.165328:0.875154:0.151082:0.733044:0.151082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
polinomios puede :@0.733044:0.180415:0.859374:0.180415:0.859374:0.166170:0.733044:0.166170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ser resuelta en forma :@0.733044:0.195503:0.876057:0.195503:0.876057:0.181258:0.733044:0.181258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vertical.:@0.733044:0.210590:0.784038:0.210590:0.784038:0.196345:0.733044:0.196345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.800296:0.236942:0.810413:0.236942:0.810413:0.221369:0.800296:0.221369:0.000000
−:@0.834793:0.236942:0.844910:0.236942:0.844910:0.221369:0.834793:0.221369:0.000000
−:@0.831759:0.278433:0.841876:0.278433:0.841876:0.262860:0.831759:0.262860:0.000000
x:@0.781659:0.236264:0.789123:0.236264:0.789123:0.219903:0.781659:0.219903:0.000000
x:@0.823435:0.236264:0.830898:0.236264:0.830898:0.219903:0.823435:0.219903:0.000000
x:@0.820399:0.277755:0.827862:0.277755:0.827862:0.261394:0.820399:0.261394:0.000000
3:@0.771824:0.236264:0.780817:0.236264:0.780817:0.220595:0.771824:0.220595:0.000000
2:@0.813176:0.236264:0.822168:0.236264:0.822168:0.220595:0.813176:0.220595:0.000000
1:@0.846530:0.236264:0.855522:0.236264:0.855522:0.220595:0.846530:0.220595:0.000000
6:@0.845019:0.277755:0.854011:0.277755:0.854011:0.262086:0.845019:0.262086:0.000000
2:@0.790768:0.228602:0.795979:0.228602:0.795979:0.219521:0.790768:0.219521:0.000000
x:@0.752343:0.368504:0.759806:0.368504:0.759806:0.352142:0.752343:0.352142:0.000000
x:@0.801913:0.368504:0.809376:0.368504:0.809376:0.352142:0.801913:0.352142:0.000000
x:@0.850912:0.368504:0.858375:0.368504:0.858375:0.352142:0.850912:0.352142:0.000000
3:@0.742484:0.368504:0.751477:0.368504:0.751477:0.352834:0.742484:0.352834:0.000000
16:@0.782490:0.368504:0.800273:0.368504:0.800273:0.352834:0.782490:0.352834:0.000000:0.000000
13:@0.832263:0.368504:0.850064:0.368504:0.850064:0.352834:0.832263:0.352834:0.000000:0.000000
6:@0.875513:0.368504:0.884506:0.368504:0.884506:0.352834:0.875513:0.352834:0.000000
3:@0.761451:0.360841:0.766663:0.360841:0.766663:0.351760:0.761451:0.351760:0.000000
2:@0.811026:0.360841:0.816238:0.360841:0.816238:0.351760:0.811026:0.351760:0.000000
−:@0.770770:0.369181:0.780887:0.369181:0.780887:0.353608:0.770770:0.353608:0.000000
−:@0.820562:0.369181:0.830678:0.369181:0.830678:0.353608:0.820562:0.353608:0.000000
+:@0.862282:0.369181:0.872399:0.369181:0.872399:0.353608:0.862282:0.353608:0.000000
Recuerda que...:@0.763096:0.140302:0.885177:0.140302:0.885177:0.123402:0.763096:0.123402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando hay dificultades :@0.733044:0.478441:0.897753:0.478441:0.897753:0.464196:0.733044:0.464196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
visuales o una :@0.733044:0.493528:0.830191:0.493528:0.830191:0.479283:0.733044:0.479283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
discapacidad visual, la :@0.733044:0.508616:0.882909:0.508616:0.882909:0.494371:0.733044:0.494371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mejor forma de ayudar :@0.733044:0.523704:0.889108:0.523704:0.889108:0.509458:0.733044:0.509458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es proporcionando :@0.733044:0.538791:0.864064:0.538791:0.864064:0.524546:0.733044:0.524546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
explicaciones de tipo :@0.733044:0.553879:0.878053:0.553879:0.878053:0.539634:0.733044:0.539634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
descriptivo, concreto, :@0.733044:0.568966:0.879123:0.568966:0.879123:0.554721:0.733044:0.554721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
preciso y claro.:@0.733044:0.584054:0.830926:0.584054:0.830926:0.569809:0.733044:0.569809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DFA:@0.765616:0.453931:0.797974:0.453931:0.797974:0.437030:0.765616:0.437030:0.000000:0.000000:0.000000
x:@0.762997:0.309118:0.770460:0.309118:0.770460:0.293724:0.762997:0.293724:0.000000
x:@0.804570:0.309118:0.812033:0.309118:0.812033:0.293724:0.804570:0.293724:0.000000
x:@0.837537:0.309118:0.845000:0.309118:0.845000:0.293724:0.837537:0.293724:0.000000
x:@0.804459:0.331716:0.811923:0.331716:0.811923:0.316323:0.804459:0.316323:0.000000
x:@0.846898:0.331716:0.854361:0.331716:0.854361:0.316323:0.846898:0.316323:0.000000
3:@0.753138:0.309118:0.762131:0.309118:0.762131:0.293448:0.753138:0.293448:0.000000
2:@0.794287:0.309118:0.803280:0.309118:0.803280:0.293448:0.794287:0.293448:0.000000
18:@0.785018:0.331716:0.802801:0.331716:0.802801:0.316046:0.785018:0.316046:0.000000:0.000000
12:@0.828102:0.331716:0.845885:0.331716:0.845885:0.316046:0.828102:0.316046:0.000000:0.000000
6:@0.871757:0.331716:0.880750:0.331716:0.880750:0.316046:0.871757:0.316046:0.000000
3:@0.772107:0.301455:0.777319:0.301455:0.777319:0.292374:0.772107:0.292374:0.000000
2:@0.813672:0.301455:0.818884:0.301455:0.818884:0.292374:0.813672:0.292374:0.000000
2:@0.813566:0.324050:0.818777:0.324050:0.818777:0.314969:0.813566:0.314969:0.000000
+:@0.781425:0.309795:0.749766:0.309795:0.749766:0.294222:0.781425:0.294222:0.000000
−:@0.823200:0.309795:0.791542:0.309795:0.791542:0.294222:0.823200:0.294222:0.000000
−:@0.771640:0.332394:0.734784:0.332394:0.734784:0.316821:0.771640:0.316821:0.000000
−:@0.818612:0.332394:0.781756:0.332394:0.781756:0.316821:0.818612:0.316821:0.000000
+:@0.858544:0.332394:0.868661:0.332394:0.868661:0.316821:0.858544:0.316821:0.000000
Es importante que :@0.733359:0.704869:0.860240:0.704869:0.860240:0.690624:0.733359:0.690624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
realices todos los :@0.733359:0.719957:0.850724:0.719957:0.850724:0.705712:0.733359:0.705712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejercicios que te :@0.733359:0.735045:0.845364:0.735045:0.845364:0.720799:0.733359:0.720799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propongan resolver. :@0.733359:0.750132:0.870727:0.750132:0.870727:0.735887:0.733359:0.735887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conforme avances :@0.733359:0.765220:0.861496:0.765220:0.861496:0.750975:0.733359:0.750975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con los contenidos, :@0.733359:0.780307:0.866488:0.780307:0.866488:0.766062:0.733359:0.766062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
adquirirás destrezas :@0.733359:0.795395:0.868398:0.795395:0.868398:0.781150:0.733359:0.781150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que te ayudarán a :@0.733359:0.810483:0.856956:0.810483:0.856956:0.796237:0.733359:0.796237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resolver ejercicios más :@0.733359:0.825570:0.885754:0.825570:0.885754:0.811325:0.733359:0.811325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
complejos y a ganar :@0.733359:0.840658:0.871030:0.840658:0.871030:0.826413:0.733359:0.826413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
seguridad. :@0.733359:0.855745:0.806532:0.855745:0.806532:0.841500:0.733359:0.841500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escribe :@0.733359:0.877962:0.786682:0.877962:0.786682:0.862849:0.733359:0.862849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una corta :@0.786682:0.877962:0.854043:0.877962:0.854043:0.863717:0.786682:0.863717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reflexión.:@0.733359:0.893050:0.793969:0.893050:0.793969:0.878804:0.733359:0.878804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia  :@0.763694:0.667885:0.874721:0.667885:0.874721:0.650984:0.763694:0.650984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
socioemocional:@0.763694:0.681715:0.886312:0.681715:0.886312:0.664814:0.763694:0.664814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000