153:@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
Factorizar 49:@0.095800:0.155313:0.191397:0.156570:0.191397:0.140901:0.095800:0.139643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.166231:0.159089:0.170266:0.159089:0.170266:0.143419:0.166231:0.143419:0.000000
−:@0.212146:0.157248:0.222263:0.157248:0.222263:0.141675:0.212146:0.141675:0.000000
+:@0.271152:0.157248:0.281269:0.157248:0.281269:0.141675:0.271152:0.141675:0.000000
a:@0.191931:0.156570:0.201200:0.156570:0.201200:0.140209:0.191931:0.140209:0.000000
a b:@0.243713:0.156570:0.268314:0.156570:0.268314:0.140209:0.243713:0.140209:0.000000:0.000000:0.000000
b:@0.293173:0.156570:0.302442:0.156570:0.302442:0.140209:0.293173:0.140209:0.000000
42:@0.225765:0.156570:0.243547:0.156570:0.243547:0.140901:0.225765:0.140901:0.000000:0.000000
9:@0.284033:0.156570:0.293025:0.156570:0.293025:0.140901:0.284033:0.140901:0.000000
4:@0.202199:0.148909:0.207411:0.148909:0.207411:0.139828:0.202199:0.139828:0.000000
2:@0.253557:0.148909:0.258769:0.148909:0.258769:0.139828:0.253557:0.139828:0.000000
2:@0.303026:0.148909:0.308237:0.148909:0.308237:0.139828:0.303026:0.139828:0.000000
Solución:@0.095800:0.177423:0.156461:0.177423:0.156461:0.162310:0.095800:0.162310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−           +:@0.139939:0.202956:0.210848:0.202956:0.210848:0.187383:0.139939:0.187383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.121400:0.202278:0.130670:0.202278:0.130670:0.186885:0.121400:0.186885:0.000000
a b:@0.173182:0.202278:0.197783:0.202278:0.197783:0.186885:0.173182:0.186885:0.000000:0.000000:0.000000
b:@0.222642:0.202278:0.231911:0.202278:0.231911:0.186885:0.222642:0.186885:0.000000
49:@0.099730:0.202278:0.117513:0.202278:0.117513:0.186609:0.099730:0.186609:0.000000:0.000000
42:@0.155215:0.202278:0.172998:0.202278:0.172998:0.186609:0.155215:0.186609:0.000000:0.000000
9:@0.213484:0.202278:0.222476:0.202278:0.222476:0.186609:0.213484:0.186609:0.000000
4                    2:@0.131668:0.194617:0.188868:0.194617:0.188868:0.185536:0.131668:0.185536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.232495:0.194617:0.237706:0.194617:0.237706:0.185536:0.232495:0.185536:0.000000
 :@0.245418:0.203718:0.249454:0.203718:0.249454:0.188048:0.245418:0.188048:0.000000
Comprobamos si hay dos términos cuadrados perfectos.:@0.305198:0.203718:0.690483:0.203718:0.690483:0.188048:0.305198:0.188048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.107527:0.229705:0.116796:0.229705:0.116796:0.213344:0.107527:0.213344:0.000000
b:@0.144327:0.229705:0.153596:0.229705:0.153596:0.213344:0.144327:0.213344:0.000000
7:@0.098000:0.229705:0.106993:0.229705:0.106993:0.214035:0.098000:0.214035:0.000000
3                  3  :@0.135961:0.229705:0.236503:0.230962:0.236503:0.215293:0.135961:0.214035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.117369:0.222044:0.122581:0.222044:0.122581:0.212963:0.117369:0.212963:0.000000
a:@0.177402:0.229705:0.186671:0.229705:0.186671:0.213344:0.177402:0.213344:0.000000
b:@0.214202:0.229705:0.223471:0.229705:0.223471:0.213344:0.214202:0.213344:0.000000
7:@0.167875:0.229705:0.176868:0.229705:0.176868:0.214035:0.167875:0.214035:0.000000
2:@0.187244:0.222044:0.192456:0.222044:0.192456:0.212963:0.187244:0.212963:0.000000
Observamos que el término del medio sea el doble:@0.305201:0.230962:0.680996:0.230962:0.680996:0.215293:0.305201:0.215293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.157103:0.255945:0.166372:0.255945:0.166372:0.239584:0.157103:0.239584:0.000000
2(7a )(3)  :@0.098411:0.255945:0.178573:0.257202:0.178573:0.241533:0.098411:0.240275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.130718:0.248283:0.135930:0.248283:0.135930:0.239201:0.130718:0.239201:0.000000
producto de las raíces de los cuadrados perfectos. :@0.305208:0.257202:0.674864:0.257202:0.674864:0.241533:0.305208:0.241533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ab:@0.117107:0.282184:0.141708:0.282184:0.141708:0.265822:0.117107:0.265822:0.000000:0.000000
42:@0.099159:0.282184:0.116941:0.282184:0.116941:0.266514:0.099159:0.266514:0.000000:0.000000
2:@0.126949:0.274523:0.132160:0.274523:0.132160:0.265441:0.126949:0.265441:0.000000
Como cumple las condiciones::@0.095800:0.308422:0.320802:0.308422:0.320802:0.292752:0.095800:0.292752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.251598:0.341990:0.257735:0.341990:0.257735:0.316762:0.251598:0.316762:0.000000
):@0.318454:0.341990:0.324590:0.341990:0.324590:0.316762:0.318454:0.316762:0.000000
−:@0.137682:0.337854:0.147799:0.337854:0.147799:0.322281:0.137682:0.322281:0.000000
+:@0.196687:0.337854:0.206804:0.337854:0.206804:0.322281:0.196687:0.322281:0.000000
=:@0.238615:0.337854:0.248732:0.337854:0.248732:0.322281:0.238615:0.322281:0.000000
−:@0.286933:0.337854:0.297049:0.337854:0.297049:0.322281:0.286933:0.322281:0.000000
a:@0.117474:0.337177:0.126743:0.337177:0.126743:0.320815:0.117474:0.320815:0.000000
a b:@0.169255:0.337177:0.193856:0.337177:0.193856:0.320815:0.169255:0.320815:0.000000:0.000000:0.000000
b:@0.218715:0.337177:0.227984:0.337177:0.227984:0.320815:0.218715:0.320815:0.000000
a:@0.267565:0.337177:0.276834:0.337177:0.276834:0.320815:0.267565:0.320815:0.000000
b:@0.308198:0.337177:0.317467:0.337177:0.317467:0.320815:0.308198:0.320815:0.000000
49:@0.099151:0.337177:0.116933:0.337177:0.116933:0.321507:0.099151:0.321507:0.000000:0.000000
42:@0.151301:0.337177:0.169084:0.337177:0.169084:0.321507:0.151301:0.321507:0.000000:0.000000
9:@0.209569:0.337177:0.218562:0.337177:0.218562:0.321507:0.209569:0.321507:0.000000
7:@0.258052:0.337177:0.267045:0.337177:0.267045:0.321507:0.258052:0.321507:0.000000
3:@0.299828:0.337177:0.308820:0.337177:0.308820:0.321507:0.299828:0.321507:0.000000
4:@0.127735:0.329514:0.132946:0.329514:0.132946:0.320433:0.127735:0.320433:0.000000
2:@0.179093:0.329514:0.184305:0.329514:0.184305:0.320433:0.179093:0.320433:0.000000
2:@0.228561:0.329514:0.233773:0.329514:0.233773:0.320433:0.228561:0.320433:0.000000
2:@0.277410:0.329514:0.282621:0.329514:0.282621:0.320433:0.277410:0.320433:0.000000
2:@0.324464:0.325859:0.329676:0.325859:0.329676:0.316778:0.324464:0.316778:0.000000
Trinomio cuadrado perfecto incompleto:@0.095800:0.375171:0.511717:0.375171:0.511717:0.353362:0.095800:0.353362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 2:@0.095800:0.565503:0.165306:0.565503:0.165306:0.550390:0.095800:0.550390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Factorizar 16:@0.095800:0.590798:0.189501:0.590798:0.189501:0.575128:0.095800:0.575128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.214083:0.591476:0.224200:0.591476:0.224200:0.575903:0.214083:0.575903:0.000000
+:@0.284127:0.591476:0.294243:0.591476:0.294243:0.575903:0.284127:0.575903:0.000000
w:@0.189261:0.590798:0.201995:0.590798:0.201995:0.574437:0.189261:0.574437:0.000000
w z:@0.244857:0.590798:0.273144:0.590798:0.273144:0.574437:0.244857:0.574437:0.000000:0.000000:0.000000
z:@0.316780:0.590798:0.324022:0.590798:0.324022:0.574437:0.316780:0.574437:0.000000
68:@0.227314:0.590798:0.245097:0.590798:0.245097:0.575128:0.227314:0.575128:0.000000:0.000000
64:@0.297358:0.590798:0.315140:0.590798:0.315140:0.575128:0.297358:0.575128:0.000000:0.000000
4:@0.204137:0.583137:0.209349:0.583137:0.209349:0.574056:0.204137:0.574056:0.000000
2 2:@0.259319:0.583137:0.279813:0.583137:0.279813:0.574056:0.259319:0.574056:0.000000:0.000000:0.000000
4:@0.325906:0.583137:0.331118:0.583137:0.331118:0.574056:0.325906:0.574056:0.000000
Solución:@0.095800:0.619194:0.156461:0.619194:0.156461:0.604082:0.095800:0.604082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
w:@0.114804:0.646700:0.127537:0.646700:0.127537:0.630339:0.114804:0.630339:0.000000
z:@0.192237:0.646700:0.199479:0.646700:0.199479:0.630339:0.192237:0.630339:0.000000
16:@0.097261:0.646700:0.115043:0.646700:0.115043:0.631031:0.097261:0.631031:0.000000:0.000000
y64:@0.146794:0.646700:0.190597:0.646700:0.190597:0.631031:0.146794:0.631031:0.000000:0.000000:0.000000
4:@0.129671:0.639039:0.134883:0.639039:0.134883:0.629958:0.129671:0.629958:0.000000
4:@0.201342:0.639039:0.206554:0.639039:0.206554:0.629958:0.201342:0.629958:0.000000
 :@0.211393:0.650776:0.215428:0.650776:0.215428:0.635107:0.211393:0.635107:0.000000
son cuadrados perfectos positivos, pero  68:@0.217179:0.647001:0.541926:0.645747:0.541926:0.630078:0.217179:0.631331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
wz:@0.541686:0.645747:0.569973:0.645747:0.569973:0.629386:0.541686:0.629386:0.000000:0.000000
22:@0.556135:0.638086:0.576629:0.638086:0.576629:0.629005:0.556135:0.629005:0.000000:0.000000
 no es el doble :@0.579798:0.647005:0.698159:0.647005:0.698159:0.631335:0.579798:0.631335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
producto de las raíces cuadradas. Este término debería tener la forma  64:@0.095796:0.667377:0.656035:0.667373:0.656035:0.651703:0.095796:0.651707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
wz:@0.656164:0.667373:0.684450:0.667373:0.684450:0.651012:0.656164:0.651012:0.000000:0.000000
22:@0.670613:0.659712:0.691107:0.659712:0.691107:0.650631:0.670613:0.650631:0.000000:0.000000
. :@0.690932:0.667373:0.698174:0.667373:0.698174:0.651703:0.690932:0.651703:0.000000:0.000000
Por lo tanto, para convertirlo en un TCP, sumamos  4:@0.095793:0.684094:0.485368:0.684095:0.485368:0.668425:0.095793:0.668424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
wz:@0.485479:0.684095:0.513765:0.684095:0.513765:0.667734:0.485479:0.667734:0.000000:0.000000
22:@0.499928:0.676434:0.520422:0.676434:0.520422:0.667353:0.499928:0.667353:0.000000:0.000000
, pero para no alterar la :@0.520208:0.684095:0.698182:0.684095:0.698182:0.668425:0.520208:0.668425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.694146:0.684095:0.698182:0.684095:0.698182:0.668425:0.694146:0.668425:0.000000
expresión, también restamos  4:@0.095801:0.700691:0.323915:0.700691:0.323915:0.685022:0.095801:0.685022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
wz:@0.324026:0.700691:0.352312:0.700691:0.352312:0.684330:0.324026:0.684330:0.000000:0.000000
22:@0.338475:0.693030:0.358969:0.693030:0.358969:0.683949:0.338475:0.683949:0.000000:0.000000
.:@0.358366:0.700691:0.361573:0.700691:0.361573:0.685022:0.358366:0.685022:0.000000
(:@0.097999:0.737778:0.104135:0.737778:0.104135:0.712550:0.097999:0.712550:0.000000
):@0.327976:0.737778:0.334112:0.737778:0.334112:0.712550:0.327976:0.712550:0.000000
−:@0.146058:0.733643:0.156175:0.733643:0.156175:0.718070:0.146058:0.718070:0.000000
+:@0.216102:0.733643:0.226219:0.733643:0.226219:0.718070:0.216102:0.718070:0.000000
+:@0.267826:0.733643:0.277943:0.733643:0.277943:0.718070:0.267826:0.718070:0.000000
−:@0.336248:0.733643:0.346365:0.733643:0.346365:0.718070:0.336248:0.718070:0.000000
w:@0.121243:0.732965:0.133976:0.732965:0.133976:0.716604:0.121243:0.716604:0.000000
w z:@0.176839:0.732965:0.205126:0.732965:0.205126:0.716604:0.176839:0.716604:0.000000:0.000000:0.000000
z:@0.248762:0.732965:0.256004:0.732965:0.256004:0.716604:0.248762:0.716604:0.000000
wz:@0.290538:0.732965:0.318824:0.732965:0.318824:0.716604:0.290538:0.716604:0.000000:0.000000
wz:@0.358959:0.732965:0.387246:0.732965:0.387246:0.716604:0.358959:0.716604:0.000000:0.000000
16:@0.103700:0.732965:0.121483:0.732965:0.121483:0.717295:0.103700:0.717295:0.000000:0.000000
68:@0.159296:0.732965:0.177079:0.732965:0.177079:0.717295:0.159296:0.717295:0.000000:0.000000
64:@0.229339:0.732965:0.247122:0.732965:0.247122:0.717295:0.229339:0.717295:0.000000:0.000000
4:@0.281438:0.732965:0.290430:0.732965:0.290430:0.717295:0.281438:0.717295:0.000000
4:@0.349860:0.732965:0.358852:0.732965:0.358852:0.717295:0.349860:0.717295:0.000000
4:@0.136111:0.725304:0.141322:0.725304:0.141322:0.716223:0.136111:0.716223:0.000000
2 2:@0.191292:0.725304:0.211787:0.725304:0.211787:0.716223:0.191292:0.716223:0.000000:0.000000:0.000000
4:@0.257880:0.725304:0.263092:0.725304:0.263092:0.716223:0.257880:0.716223:0.000000
22:@0.304999:0.725304:0.325493:0.725304:0.325493:0.716223:0.304999:0.716223:0.000000:0.000000
22:@0.373418:0.725304:0.393913:0.725304:0.393913:0.716223:0.373418:0.716223:0.000000:0.000000
(:@0.097999:0.778854:0.104135:0.778854:0.104135:0.753626:0.097999:0.753626:0.000000
):@0.266354:0.778854:0.272490:0.778854:0.272490:0.753626:0.266354:0.753626:0.000000
−:@0.146058:0.774719:0.156175:0.774719:0.156175:0.759146:0.146058:0.759146:0.000000
+:@0.216470:0.774719:0.226587:0.774719:0.226587:0.759146:0.216470:0.759146:0.000000
−:@0.274628:0.774719:0.284745:0.774719:0.284745:0.759146:0.274628:0.759146:0.000000
w:@0.121236:0.774041:0.133970:0.774041:0.133970:0.757680:0.121236:0.757680:0.000000
w z:@0.177201:0.774041:0.205487:0.774041:0.205487:0.757680:0.177201:0.757680:0.000000:0.000000:0.000000
z:@0.249124:0.774041:0.256366:0.774041:0.256366:0.757680:0.249124:0.757680:0.000000
wz:@0.297349:0.774041:0.325636:0.774041:0.325636:0.757680:0.297349:0.757680:0.000000:0.000000
16:@0.103693:0.774041:0.121476:0.774041:0.121476:0.758371:0.103693:0.758371:0.000000:0.000000
64:@0.159289:0.774041:0.177072:0.774041:0.177072:0.758371:0.159289:0.758371:0.000000:0.000000
64:@0.229701:0.774041:0.247484:0.774041:0.247484:0.758371:0.229701:0.758371:0.000000:0.000000
4:@0.288228:0.774041:0.297220:0.774041:0.297220:0.758371:0.288228:0.758371:0.000000
4:@0.136111:0.766379:0.141322:0.766379:0.141322:0.757297:0.136111:0.757297:0.000000
2 2:@0.191656:0.766379:0.212150:0.766379:0.212150:0.757297:0.191656:0.757297:0.000000:0.000000:0.000000
4:@0.258243:0.766379:0.263455:0.766379:0.263455:0.757297:0.258243:0.757297:0.000000
22:@0.311801:0.766379:0.332296:0.766379:0.332296:0.757297:0.311801:0.757297:0.000000:0.000000
(:@0.097999:0.819929:0.104135:0.819929:0.104135:0.794701:0.097999:0.794701:0.000000
):@0.178196:0.819929:0.184332:0.819929:0.184332:0.794701:0.178196:0.794701:0.000000
−:@0.138676:0.815793:0.148792:0.815793:0.148792:0.800221:0.138676:0.800221:0.000000
−:@0.193756:0.815793:0.203872:0.815793:0.203872:0.800221:0.193756:0.800221:0.000000
w:@0.114701:0.815116:0.127435:0.815116:0.127435:0.798755:0.114701:0.798755:0.000000
z:@0.161821:0.815116:0.169063:0.815116:0.169063:0.798755:0.161821:0.798755:0.000000
wz:@0.216477:0.815116:0.244763:0.815116:0.244763:0.798755:0.216477:0.798755:0.000000:0.000000
4:@0.105598:0.815116:0.114591:0.815116:0.114591:0.799446:0.105598:0.799446:0.000000
8:@0.151556:0.815116:0.160549:0.815116:0.160549:0.799446:0.151556:0.799446:0.000000
4:@0.207374:0.815116:0.216366:0.815116:0.216366:0.799446:0.207374:0.799446:0.000000
2:@0.129148:0.807455:0.134360:0.807455:0.134360:0.798373:0.129148:0.798373:0.000000
2:@0.170511:0.807455:0.175722:0.807455:0.175722:0.798373:0.170511:0.798373:0.000000
2:@0.184223:0.803800:0.189435:0.803800:0.189435:0.794718:0.184223:0.794718:0.000000
22:@0.230919:0.807455:0.251413:0.807455:0.251413:0.798373:0.230919:0.798373:0.000000:0.000000
 :@0.254949:0.823917:0.258985:0.823917:0.258985:0.808247:0.254949:0.808247:0.000000
 Obtenemos una diferencia de cuadrados.:@0.258985:0.817624:0.565541:0.817624:0.565541:0.801954:0.258985:0.801954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.112239:0.855090:0.121231:0.855090:0.121231:0.839421:0.112239:0.839421:0.000000
w:@0.121342:0.855090:0.134075:0.855090:0.134075:0.839697:0.121342:0.839697:0.000000
2:@0.135797:0.847429:0.141009:0.847429:0.141009:0.838348:0.135797:0.838348:0.000000
8:@0.157470:0.855090:0.166463:0.855090:0.166463:0.839421:0.157470:0.839421:0.000000
z:@0.167734:0.855090:0.174976:0.855090:0.174976:0.839697:0.167734:0.839697:0.000000
2:@0.176422:0.847429:0.181634:0.847429:0.181634:0.838348:0.176422:0.838348:0.000000
(:@0.104648:0.859904:0.110784:0.859904:0.110784:0.834675:0.104648:0.834675:0.000000
):@0.184015:0.859904:0.190152:0.859904:0.190152:0.834675:0.184015:0.834675:0.000000
+:@0.191970:0.855768:0.202087:0.855768:0.202087:0.840195:0.191970:0.840195:0.000000
2:@0.204538:0.855090:0.213530:0.855090:0.213530:0.839421:0.204538:0.839421:0.000000
wz:@0.212922:0.855090:0.232824:0.855090:0.232824:0.839697:0.212922:0.839697:0.000000:0.000000
4:@0.258718:0.855090:0.267711:0.855090:0.267711:0.839421:0.258718:0.839421:0.000000
w:@0.267821:0.855090:0.280555:0.855090:0.280555:0.839697:0.267821:0.839697:0.000000
2:@0.282275:0.847429:0.287487:0.847429:0.287487:0.838348:0.282275:0.838348:0.000000
8:@0.303950:0.855090:0.312942:0.855090:0.312942:0.839421:0.303950:0.839421:0.000000
z:@0.314214:0.855090:0.321456:0.855090:0.321456:0.839697:0.314214:0.839697:0.000000
2:@0.322900:0.847429:0.328112:0.847429:0.328112:0.838348:0.322900:0.838348:0.000000
(:@0.251126:0.859904:0.257262:0.859904:0.257262:0.834675:0.251126:0.834675:0.000000
):@0.330494:0.859904:0.336630:0.859904:0.336630:0.834675:0.330494:0.834675:0.000000
2:@0.351012:0.855090:0.360005:0.855090:0.360005:0.839421:0.351012:0.839421:0.000000
wz:@0.359397:0.855090:0.379299:0.855090:0.379299:0.839697:0.359397:0.839697:0.000000:0.000000
(:@0.097999:0.902080:0.104135:0.902080:0.104135:0.876852:0.097999:0.876852:0.000000
)(:@0.223067:0.902080:0.235635:0.902080:0.235635:0.876852:0.223067:0.876852:0.000000:0.000000
):@0.354567:0.902080:0.360703:0.902080:0.360703:0.876852:0.354567:0.876852:0.000000
−:@0.138676:0.897944:0.148792:0.897944:0.148792:0.882371:0.138676:0.882371:0.000000
+:@0.180027:0.897944:0.190144:0.897944:0.190144:0.882371:0.180027:0.882371:0.000000
−:@0.270175:0.897944:0.280292:0.897944:0.280292:0.882371:0.270175:0.882371:0.000000
−:@0.311527:0.897944:0.321644:0.897944:0.321644:0.882371:0.311527:0.882371:0.000000
w:@0.114683:0.897267:0.127416:0.897267:0.127416:0.880905:0.114683:0.880905:0.000000
z:@0.161802:0.897267:0.169044:0.897267:0.169044:0.880905:0.161802:0.880905:0.000000
wz:@0.201274:0.897267:0.221176:0.897267:0.221176:0.880905:0.201274:0.880905:0.000000:0.000000
w:@0.246201:0.897267:0.258934:0.897267:0.258934:0.880905:0.246201:0.880905:0.000000
z:@0.293320:0.897267:0.300562:0.897267:0.300562:0.880905:0.293320:0.880905:0.000000
wz:@0.332792:0.897267:0.352694:0.897267:0.352694:0.880905:0.332792:0.880905:0.000000:0.000000
4:@0.105579:0.897267:0.114572:0.897267:0.114572:0.881597:0.105579:0.881597:0.000000
8:@0.151538:0.897267:0.160531:0.897267:0.160531:0.881597:0.151538:0.881597:0.000000
2:@0.192908:0.897267:0.201901:0.897267:0.201901:0.881597:0.192908:0.881597:0.000000
4:@0.237098:0.897267:0.246090:0.897267:0.246090:0.881597:0.237098:0.881597:0.000000
8:@0.283061:0.897267:0.292054:0.897267:0.292054:0.881597:0.283061:0.881597:0.000000
2:@0.324413:0.897267:0.333405:0.897267:0.333405:0.881597:0.324413:0.881597:0.000000
2:@0.129148:0.889604:0.134360:0.889604:0.134360:0.880523:0.129148:0.880523:0.000000
2:@0.170511:0.889604:0.175722:0.889604:0.175722:0.880523:0.170511:0.880523:0.000000
2:@0.260658:0.889604:0.265869:0.889604:0.265869:0.880523:0.260658:0.880523:0.000000
2:@0.302020:0.889604:0.307232:0.889604:0.307232:0.880523:0.302020:0.880523:0.000000
En ocasiones, es :@0.733784:0.172505:0.844684:0.172505:0.844684:0.158260:0.733784:0.158260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
necesario agrupar :@0.733784:0.187593:0.857365:0.187593:0.857365:0.173348:0.733784:0.173348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al trinomio en un :@0.733784:0.202681:0.852358:0.202681:0.852358:0.188435:0.733784:0.188435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
paréntesis para que :@0.733784:0.217768:0.868206:0.217768:0.868206:0.203523:0.733784:0.203523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cumpla las condiciones :@0.733784:0.232856:0.893904:0.232856:0.893904:0.218611:0.733784:0.218611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de un TCP.:@0.733784:0.247944:0.801447:0.247944:0.801447:0.233698:0.733784:0.233698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.824080:0.274231:0.828989:0.274231:0.828989:0.254048:0.824080:0.254048:0.000000
):@0.886896:0.274231:0.891805:0.274231:0.891805:0.254048:0.886896:0.254048:0.000000
(:@0.808668:0.293856:0.813577:0.293856:0.813577:0.277536:0.808668:0.277536:0.000000
):@0.838653:0.293856:0.843562:0.293856:0.843562:0.277536:0.838653:0.277536:0.000000
−:@0.736172:0.270922:0.744265:0.270922:0.744265:0.258464:0.736172:0.258464:0.000000
+:@0.760216:0.270922:0.768309:0.270922:0.768309:0.258464:0.760216:0.258464:0.000000
−= −:@0.787223:0.270922:0.823047:0.270922:0.823047:0.258464:0.787223:0.258464:0.000000:0.000000:0.000000:0.000000
−:@0.845071:0.270922:0.853165:0.270922:0.853165:0.258464:0.845071:0.258464:0.000000
+:@0.872079:0.270922:0.880172:0.270922:0.880172:0.258464:0.872079:0.258464:0.000000
=−:@0.788521:0.292365:0.807627:0.292365:0.807627:0.279906:0.788521:0.279906:0.000000:0.000000
−:@0.823828:0.292365:0.831922:0.292365:0.831922:0.279906:0.823828:0.279906:0.000000
b:@0.744722:0.270380:0.752137:0.270380:0.752137:0.257291:0.744722:0.257291:0.000000
b:@0.777553:0.270380:0.784968:0.270380:0.784968:0.257291:0.777553:0.257291:0.000000
b:@0.829566:0.270380:0.836981:0.270380:0.836981:0.257291:0.829566:0.257291:0.000000
b:@0.862397:0.270380:0.869812:0.270380:0.869812:0.257291:0.862397:0.257291:0.000000
b:@0.814154:0.291817:0.821569:0.291817:0.821569:0.278728:0.814154:0.278728:0.000000
2:@0.770517:0.270375:0.777711:0.270375:0.777711:0.257839:0.770517:0.257839:0.000000
1:@0.796611:0.270375:0.803805:0.270375:0.803805:0.257839:0.796611:0.257839:0.000000
2:@0.855365:0.270380:0.862559:0.270380:0.862559:0.257844:0.855365:0.257844:0.000000
1:@0.881458:0.270380:0.888653:0.270380:0.888653:0.257844:0.881458:0.257844:0.000000
1:@0.833210:0.291817:0.840404:0.291817:0.840404:0.279281:0.833210:0.279281:0.000000
2:@0.752589:0.264251:0.756758:0.264251:0.756758:0.256986:0.752589:0.256986:0.000000
2:@0.837437:0.264251:0.841606:0.264251:0.841606:0.256986:0.837437:0.256986:0.000000
2:@0.843471:0.284273:0.847640:0.284273:0.847640:0.277008:0.843471:0.277008:0.000000
Recuerda que...:@0.763836:0.147480:0.885918:0.147480:0.885918:0.130580:0.763836:0.130580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática  :@0.770807:0.670747:0.863314:0.670747:0.863314:0.655383:0.770807:0.655383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y Contabilidad:@0.760890:0.685835:0.866313:0.685835:0.866313:0.670471:0.760890:0.670471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La factorización es :@0.733047:0.712238:0.858957:0.712238:0.858957:0.697993:0.733047:0.697993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una herramienta muy :@0.733047:0.727955:0.881338:0.727955:0.881338:0.713709:0.733047:0.713709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
útil en los campos :@0.733047:0.743671:0.857869:0.743671:0.857869:0.729426:0.733047:0.729426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
empresariales. A partir :@0.733047:0.759387:0.884352:0.759387:0.884352:0.745142:0.733047:0.745142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de ella se da solución :@0.733047:0.775103:0.879028:0.775103:0.879028:0.760858:0.733047:0.760858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a diversos problemas y :@0.733047:0.790820:0.888659:0.790820:0.888659:0.776574:0.733047:0.776574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
modelos financieros de :@0.733047:0.806536:0.892562:0.806536:0.892562:0.792291:0.733047:0.792291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cualquier índole.:@0.733047:0.822252:0.843712:0.822252:0.843712:0.808007:0.733047:0.808007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.747188:0.646236:0.898523:0.646236:0.898523:0.629336:0.747188:0.629336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa:@0.733044:0.430228:0.782581:0.430228:0.782581:0.415116:0.733044:0.415116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 al siguiente :@0.782313:0.430228:0.862825:0.430228:0.862825:0.415983:0.782313:0.415983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enlace: :@0.733044:0.445316:0.781609:0.445316:0.781609:0.431071:0.733044:0.431071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/9m14 :@0.781341:0.445316:0.871352:0.445316:0.871352:0.430191:0.781341:0.430191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.733044:0.460404:0.744251:0.460404:0.744251:0.446158:0.733044:0.446158:0.000000:0.000000
evalúa:@0.744419:0.460404:0.790974:0.460404:0.790974:0.445291:0.744419:0.445291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 tu :@0.791141:0.460404:0.812886:0.460404:0.812886:0.446158:0.791141:0.446158:0.000000:0.000000:0.000000:0.000000
conocimiento.:@0.733044:0.475491:0.831230:0.475491:0.831230:0.461246:0.733044:0.461246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia digital:@0.746178:0.404599:0.896842:0.404599:0.896842:0.387699:0.746178:0.387699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  Algunas veces los trinomios tienen dos términos positivos cuadrados :@0.121206:0.419327:0.645023:0.419327:0.645023:0.403658:0.121206:0.403658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
perfectos, pero el otro término no cumple la condición de ser el doble :@0.135451:0.435924:0.653945:0.435924:0.653945:0.420254:0.135451:0.420254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
producto de las raíces cuadradas de los cuadrados perfectos. En este :@0.135451:0.452520:0.641464:0.452520:0.641464:0.436850:0.135451:0.436850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
caso se busca la manera de completarlo; al final resulta una diferencia de :@0.135451:0.469117:0.671374:0.469117:0.671374:0.453447:0.135451:0.453447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrados.:@0.135451:0.485713:0.215351:0.485713:0.215351:0.470043:0.135451:0.470043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  Este caso de factorización se conoce como trinomio cuadrado perfecto :@0.121206:0.505878:0.661552:0.505878:0.661552:0.490208:0.121206:0.490208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incompleto.:@0.135451:0.522474:0.223570:0.522474:0.223570:0.506804:0.135451:0.506804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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