51:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cción y expresión:@0.117728:0.090870:0.242599:0.090870:0.242599:0.075506:0.117728:0.075506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.096132:0.091656:0.108221:0.091656:0.108221:0.074520:0.096132:0.074520:0.000000
2.:@0.096359:0.419384:0.110585:0.419384:0.110585:0.402483:0.096359:0.402483:0.000000:0.000000
  Una función compleja es la que contiene operaciones con funciones racionales :@0.110585:0.419384:0.716559:0.419384:0.716559:0.402995:0.110585:0.402995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el numerador y denominador.:@0.124848:0.435980:0.366987:0.435980:0.366987:0.419592:0.124848:0.419592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096359:0.476185:0.100395:0.476185:0.100395:0.459796:0.096359:0.459796:0.000000
Con las siguientes funciones:  ():@0.124848:0.476185:0.370606:0.475634:0.370606:0.459246:0.124848:0.459796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fx:@0.342577:0.475634:0.363917:0.475634:0.363917:0.459273:0.342577:0.459273:0.000000:0.000000
x:@0.389484:0.486479:0.396947:0.486479:0.396947:0.470117:0.389484:0.470117:0.000000
gx:@0.438641:0.475634:0.461712:0.475634:0.461712:0.459273:0.438641:0.459273:0.000000:0.000000
x:@0.497425:0.466866:0.504888:0.466866:0.504888:0.450505:0.497425:0.450505:0.000000
x:@0.487276:0.486479:0.494739:0.486479:0.494739:0.470117:0.487276:0.470117:0.000000
,( ):@0.428911:0.475634:0.468401:0.475634:0.468401:0.459246:0.428911:0.459246:0.000000:0.000000:0.000000:0.000000
=:@0.373573:0.476312:0.383689:0.476312:0.383689:0.460739:0.373573:0.460739:0.000000
−:@0.408434:0.487156:0.418551:0.487156:0.418551:0.471583:0.408434:0.471583:0.000000
=:@0.471361:0.476312:0.481478:0.476312:0.481478:0.460739:0.471361:0.460739:0.000000
+:@0.498845:0.487156:0.508962:0.487156:0.508962:0.471583:0.498845:0.471583:0.000000
3:@0.402571:0.466872:0.411564:0.466872:0.411564:0.450483:0.402571:0.450483:0.000000
1:@0.419690:0.486479:0.428683:0.486479:0.428683:0.470090:0.419690:0.470090:0.000000
1:@0.510410:0.486479:0.519402:0.486479:0.519402:0.470090:0.510410:0.470090:0.000000
2:@0.398540:0.478816:0.403752:0.478816:0.403752:0.469318:0.398540:0.469318:0.000000
 :@0.434610:0.475634:0.438646:0.475634:0.438646:0.459246:0.434610:0.459246:0.000000
 :@0.096359:0.516375:0.100395:0.516375:0.100395:0.499986:0.096359:0.499986:0.000000
Halla la siguiente operación:  ():@0.124848:0.516375:0.367016:0.515840:0.367016:0.499452:0.124848:0.499986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hx:@0.337587:0.515840:0.360345:0.515840:0.360345:0.499479:0.337587:0.499479:0.000000:0.000000
fx:@0.384485:0.507072:0.405824:0.507072:0.405824:0.490711:0.384485:0.490711:0.000000:0.000000
gx:@0.428417:0.507072:0.451488:0.507072:0.451488:0.490711:0.428417:0.490711:0.000000:0.000000
fx:@0.384651:0.526683:0.405990:0.526683:0.405990:0.510322:0.384651:0.510322:0.000000:0.000000
gx:@0.428251:0.526683:0.451322:0.526683:0.451322:0.510322:0.428251:0.510322:0.000000:0.000000
():@0.391709:0.507072:0.412514:0.507072:0.412514:0.490683:0.391709:0.490683:0.000000:0.000000
():@0.437369:0.507080:0.458174:0.507080:0.458174:0.490691:0.437369:0.490691:0.000000:0.000000
():@0.391875:0.526685:0.412679:0.526685:0.412679:0.510296:0.391875:0.510296:0.000000:0.000000
():@0.437212:0.526685:0.458016:0.526685:0.458016:0.510296:0.437212:0.510296:0.000000:0.000000
=:@0.369993:0.516518:0.380109:0.516518:0.380109:0.500945:0.369993:0.500945:0.000000
+:@0.414864:0.507750:0.424981:0.507750:0.424981:0.492177:0.414864:0.492177:0.000000
−:@0.415030:0.527361:0.425147:0.527361:0.425147:0.511788:0.415030:0.511788:0.000000
Paso 1. :@0.102121:0.171552:0.157756:0.171552:0.157756:0.155974:0.102121:0.155974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La función total de consumo de gasolina de los autos del problema inicial  :@0.157756:0.171552:0.655564:0.171552:0.655564:0.156653:0.157756:0.156653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se consigue mediante la suma de las dos funciones.:@0.102121:0.186640:0.446108:0.186640:0.446108:0.171741:0.102121:0.171741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sumamos las funciones::@0.102121:0.208857:0.262157:0.208857:0.262157:0.193958:0.102121:0.193958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fx:@0.104383:0.238836:0.123588:0.238836:0.123588:0.224111:0.104383:0.224111:0.000000:0.000000
gx:@0.143921:0.238836:0.164685:0.238836:0.164685:0.224111:0.143921:0.224111:0.000000:0.000000
x:@0.187685:0.248595:0.194402:0.248595:0.194402:0.233870:0.187685:0.233870:0.000000
x:@0.231684:0.248595:0.238401:0.248595:0.238401:0.233870:0.231684:0.233870:0.000000
():@0.110885:0.238836:0.129609:0.238836:0.129609:0.224086:0.110885:0.224086:0.000000:0.000000
():@0.151966:0.238836:0.170690:0.238836:0.170690:0.224086:0.151966:0.224086:0.000000:0.000000
+:@0.131699:0.239446:0.140804:0.239446:0.140804:0.225430:0.131699:0.225430:0.000000
=:@0.173343:0.239446:0.182449:0.239446:0.182449:0.225430:0.173343:0.225430:0.000000
+:@0.198096:0.249205:0.207201:0.249205:0.207201:0.235189:0.198096:0.235189:0.000000
+:@0.217650:0.239446:0.226755:0.239446:0.226755:0.225430:0.217650:0.225430:0.000000
+:@0.242103:0.249205:0.251208:0.249205:0.251208:0.235189:0.242103:0.235189:0.000000
1:@0.196965:0.230950:0.205059:0.230950:0.205059:0.216200:0.196965:0.216200:0.000000
1:@0.208510:0.248595:0.216603:0.248595:0.216603:0.233845:0.208510:0.233845:0.000000
2:@0.241962:0.230950:0.250056:0.230950:0.250056:0.216200:0.241962:0.216200:0.000000
2:@0.253552:0.248595:0.261645:0.248595:0.261645:0.233845:0.253552:0.233845:0.000000
Aplicamos la definición de la operación suma::@0.102121:0.273530:0.407517:0.273530:0.407517:0.258631:0.102121:0.258631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.116256:0.295623:0.124350:0.295623:0.124350:0.280873:0.116256:0.280873:0.000000
1:@0.127800:0.313269:0.135893:0.313269:0.135893:0.298519:0.127800:0.298519:0.000000
2:@0.161253:0.295623:0.169346:0.295623:0.169346:0.280873:0.161253:0.280873:0.000000
2:@0.172842:0.313269:0.180935:0.313269:0.180935:0.298519:0.172842:0.298519:0.000000
22(:@0.221042:0.295623:0.254277:0.295619:0.254277:0.280869:0.221042:0.280873:0.000000:0.000000:0.000000
1):@0.276684:0.295623:0.286834:0.295619:0.286834:0.280869:0.276684:0.280873:0.000000:0.000000
1)(:@0.230418:0.313269:0.244939:0.313269:0.244939:0.298519:0.230418:0.298519:0.000000:0.000000:0.000000
2):@0.268398:0.313269:0.280845:0.313269:0.280845:0.298519:0.268398:0.298519:0.000000:0.000000
3:@0.322483:0.295623:0.330576:0.295623:0.330576:0.280873:0.322483:0.280873:0.000000
4:@0.353679:0.295623:0.361772:0.295623:0.361772:0.280873:0.353679:0.280873:0.000000
1)(:@0.330394:0.313273:0.344923:0.313269:0.344923:0.298519:0.330394:0.298523:0.000000:0.000000:0.000000
2):@0.368373:0.313273:0.380830:0.313269:0.380830:0.298519:0.368373:0.298523:0.000000:0.000000
x:@0.106974:0.313269:0.113691:0.313269:0.113691:0.298544:0.106974:0.298544:0.000000
x:@0.150974:0.313269:0.157691:0.313269:0.157691:0.298544:0.150974:0.298544:0.000000
x:@0.199180:0.295623:0.205897:0.295623:0.205897:0.280898:0.199180:0.280898:0.000000
x:@0.255867:0.295623:0.262584:0.295623:0.262584:0.280898:0.255867:0.280898:0.000000
x:@0.209593:0.313269:0.216310:0.313269:0.216310:0.298544:0.209593:0.298544:0.000000
x:@0.246528:0.313269:0.253245:0.313269:0.253245:0.298544:0.246528:0.298544:0.000000
x:@0.331295:0.295623:0.338011:0.295623:0.338011:0.280898:0.331295:0.280898:0.000000
x:@0.309573:0.313269:0.316290:0.313269:0.316290:0.298544:0.309573:0.298544:0.000000
x:@0.346508:0.313269:0.353225:0.313269:0.353225:0.298544:0.346508:0.298544:0.000000
+:@0.117388:0.313879:0.126493:0.313879:0.126493:0.299863:0.117388:0.299863:0.000000
+:@0.136941:0.304120:0.146047:0.304120:0.146047:0.290105:0.136941:0.290105:0.000000
+:@0.161388:0.313879:0.170493:0.313879:0.170493:0.299863:0.161388:0.299863:0.000000
=:@0.184855:0.304120:0.193960:0.304120:0.193960:0.290105:0.184855:0.290105:0.000000
++:@0.209583:0.296229:0.240265:0.296229:0.240265:0.282213:0.209583:0.282213:0.000000:0.000000
+:@0.266270:0.296229:0.275375:0.296229:0.275375:0.282213:0.266270:0.282213:0.000000
+:@0.219999:0.313879:0.229104:0.313879:0.229104:0.299863:0.219999:0.299863:0.000000
+:@0.256933:0.313879:0.266038:0.313879:0.266038:0.299863:0.256933:0.299863:0.000000
=:@0.290816:0.304120:0.299921:0.304120:0.299921:0.290105:0.290816:0.290105:0.000000
+:@0.341698:0.296229:0.350803:0.296229:0.350803:0.282213:0.341698:0.282213:0.000000
+:@0.319987:0.313879:0.329092:0.313879:0.329092:0.299863:0.319987:0.299863:0.000000
+:@0.356921:0.313879:0.366026:0.313879:0.366026:0.299863:0.356921:0.299863:0.000000
(:@0.203609:0.313269:0.208004:0.313269:0.208004:0.298519:0.203609:0.298519:0.000000
(:@0.303583:0.313269:0.307978:0.313269:0.307978:0.298519:0.303583:0.298519:0.000000
Paso 2.:@0.102121:0.339652:0.154372:0.339652:0.154372:0.324074:0.102121:0.324074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Calculamos (  +  )(100):@0.154372:0.339652:0.311057:0.339652:0.311057:0.324753:0.154372:0.324753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.243193:0.339652:0.247465:0.339652:0.247465:0.324778:0.243193:0.324778:0.000000
g:@0.264787:0.339652:0.273214:0.339652:0.273214:0.324778:0.264787:0.324778:0.000000
(:@0.104100:0.369631:0.108495:0.369631:0.108495:0.354881:0.104100:0.354881:0.000000
)(100:@0.139243:0.369631:0.171414:0.369631:0.171414:0.354881:0.139243:0.354881:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.171916:0.369631:0.176311:0.369631:0.176311:0.354881:0.171916:0.354881:0.000000
( 3 100:@0.207059:0.361740:0.234835:0.361740:0.234835:0.346990:0.207059:0.346990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) 4:@0.235336:0.361740:0.261885:0.361740:0.261885:0.346990:0.235336:0.346990:0.000000:0.000000:0.000000
(100 1:@0.178355:0.379392:0.227208:0.379392:0.227208:0.364642:0.178355:0.364642:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
)(100 2:@0.224859:0.379392:0.279119:0.379392:0.279119:0.364642:0.224859:0.364642:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) 10 302:@0.279092:0.379392:0.343975:0.379392:0.343975:0.364642:0.279092:0.364642:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, 003 litro/km:@0.367997:0.369631:0.444440:0.369631:0.444440:0.354881:0.367997:0.354881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.108809:0.369631:0.113038:0.369631:0.113038:0.354906:0.108809:0.354906:0.000000
g:@0.130386:0.369631:0.138728:0.369631:0.138728:0.354906:0.130386:0.354906:0.000000
+:@0.118179:0.370241:0.127285:0.370241:0.127285:0.356226:0.118179:0.356226:0.000000
+:@0.241820:0.362350:0.250925:0.362350:0.250925:0.348334:0.241820:0.348334:0.000000
+:@0.208697:0.380002:0.217802:0.380002:0.217802:0.365986:0.208697:0.365986:0.000000
+:@0.259580:0.380002:0.268685:0.380002:0.268685:0.365986:0.259580:0.365986:0.000000
=:@0.287475:0.370241:0.296580:0.370241:0.296580:0.356226:0.287475:0.356226:0.000000
=:@0.347977:0.370241:0.357082:0.370241:0.357082:0.356226:0.347977:0.356226:0.000000
304:@0.309997:0.361746:0.334112:0.361746:0.334112:0.346996:0.309997:0.346996:0.000000:0.000000:0.000000
Paso 1.:@0.102121:0.552678:0.154372:0.552678:0.154372:0.537100:0.102121:0.537100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.154372:0.552678:0.157756:0.552678:0.157756:0.537100:0.154372:0.537100:0.000000
Realizamos las operaciones en el numerador y denominador por separado.:@0.157756:0.552678:0.655612:0.552678:0.655612:0.537779:0.157756:0.537779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hx:@0.104618:0.598500:0.125101:0.598500:0.125101:0.583775:0.104618:0.583775:0.000000:0.000000
x:@0.149431:0.593696:0.156148:0.593696:0.156148:0.578971:0.149431:0.578971:0.000000
x:@0.208937:0.576469:0.215654:0.576469:0.215654:0.561744:0.208937:0.561744:0.000000
x:@0.199799:0.593696:0.206516:0.593696:0.206516:0.578971:0.199799:0.578971:0.000000
x:@0.149431:0.623644:0.156148:0.623644:0.156148:0.608919:0.149431:0.608919:0.000000
x:@0.208937:0.606417:0.215654:0.606417:0.215654:0.591692:0.208937:0.591692:0.000000
x:@0.199799:0.623644:0.206516:0.623644:0.206516:0.608919:0.199799:0.608919:0.000000
xx:@0.268875:0.576469:0.289109:0.576469:0.289109:0.561744:0.268875:0.561744:0.000000:0.000000
x:@0.263734:0.593696:0.270451:0.593696:0.270451:0.578971:0.263734:0.578971:0.000000
xx:@0.268726:0.606429:0.288959:0.606429:0.288959:0.591704:0.268726:0.591704:0.000000:0.000000
x:@0.263734:0.623656:0.270451:0.623656:0.270451:0.608931:0.263734:0.608931:0.000000
x:@0.355606:0.576470:0.362323:0.576470:0.362323:0.561745:0.355606:0.561745:0.000000
x:@0.385094:0.576470:0.391810:0.576470:0.391810:0.561745:0.385094:0.561745:0.000000
x:@0.347266:0.593691:0.353983:0.593691:0.353983:0.578966:0.347266:0.578966:0.000000
():@0.112391:0.598496:0.131116:0.598496:0.131116:0.583746:0.112391:0.583746:0.000000:0.000000
(:@0.276399:0.576464:0.280794:0.576464:0.280794:0.561714:0.276399:0.561714:0.000000
) 1:@0.308673:0.576464:0.311032:0.576482:0.311032:0.561732:0.308673:0.561714:0.000000:0.000000:0.000000
(:@0.276250:0.606412:0.280645:0.606412:0.280645:0.591662:0.276250:0.591662:0.000000
) 1:@0.308524:0.606412:0.310883:0.606443:0.310883:0.591693:0.308524:0.591662:0.000000:0.000000:0.000000
=:@0.133769:0.599106:0.142874:0.599106:0.142874:0.585090:0.133769:0.585090:0.000000
−:@0.166475:0.594301:0.175580:0.594301:0.175580:0.580286:0.166475:0.580286:0.000000
+:@0.185746:0.584754:0.194851:0.584754:0.194851:0.570738:0.185746:0.570738:0.000000
+:@0.210192:0.594301:0.219297:0.594301:0.219297:0.580286:0.210192:0.580286:0.000000
−:@0.166475:0.624249:0.175580:0.624249:0.175580:0.610234:0.166475:0.610234:0.000000
+:@0.185746:0.614702:0.194851:0.614702:0.194851:0.600687:0.185746:0.600687:0.000000
+:@0.210192:0.624249:0.219297:0.624249:0.219297:0.610234:0.210192:0.610234:0.000000
=:@0.231637:0.599106:0.240742:0.599106:0.240742:0.585090:0.231637:0.585090:0.000000
+:@0.256132:0.577074:0.265238:0.577074:0.265238:0.563058:0.256132:0.563058:0.000000
−:@0.292785:0.577074:0.301890:0.577074:0.301890:0.563058:0.292785:0.563058:0.000000
−:@0.280778:0.594301:0.289883:0.594301:0.289883:0.580286:0.280778:0.580286:0.000000
−:@0.256282:0.607035:0.265387:0.607035:0.265387:0.593019:0.256282:0.593019:0.000000
−:@0.292652:0.607035:0.301757:0.607035:0.301757:0.593019:0.292652:0.593019:0.000000
−:@0.280778:0.624262:0.289883:0.624262:0.289883:0.610246:0.280778:0.610246:0.000000
=:@0.318375:0.599118:0.327481:0.599118:0.327481:0.585103:0.318375:0.585103:0.000000
+:@0.342884:0.577080:0.351989:0.577080:0.351989:0.563064:0.342884:0.563064:0.000000
−:@0.372670:0.577080:0.381775:0.577080:0.381775:0.563064:0.372670:0.563064:0.000000
3:@0.161204:0.576470:0.169298:0.576470:0.169298:0.561720:0.161204:0.561720:0.000000
1:@0.176611:0.593697:0.184705:0.593697:0.184705:0.578947:0.176611:0.578947:0.000000
1:@0.220611:0.593697:0.228705:0.593697:0.228705:0.578947:0.220611:0.578947:0.000000
3:@0.161204:0.606431:0.169298:0.606431:0.169298:0.591681:0.161204:0.591681:0.000000
1:@0.176611:0.623658:0.184705:0.623658:0.184705:0.608908:0.176611:0.608908:0.000000
1:@0.220611:0.623658:0.228705:0.623658:0.228705:0.608908:0.220611:0.608908:0.000000
3:@0.246019:0.576482:0.254113:0.576482:0.254113:0.561732:0.246019:0.561732:0.000000
1:@0.290914:0.593709:0.299008:0.593709:0.299008:0.578959:0.290914:0.578959:0.000000
3:@0.246152:0.606443:0.254245:0.606443:0.254245:0.591693:0.246152:0.591693:0.000000
1:@0.290914:0.623670:0.299008:0.623670:0.299008:0.608920:0.290914:0.608920:0.000000
3:@0.332758:0.576495:0.340851:0.576495:0.340851:0.561745:0.332758:0.561745:0.000000
2:@0.157577:0.586795:0.162268:0.586795:0.162268:0.578247:0.157577:0.578247:0.000000
2:@0.157577:0.616747:0.162268:0.616747:0.162268:0.608199:0.157577:0.608199:0.000000
2:@0.271880:0.586795:0.276570:0.586795:0.276570:0.578247:0.271880:0.578247:0.000000
2:@0.271880:0.616747:0.276570:0.616747:0.276570:0.608199:0.271880:0.608199:0.000000
2:@0.363758:0.569576:0.368448:0.569576:0.368448:0.561028:0.363758:0.561028:0.000000
2 2:@0.355418:0.586795:0.360109:0.586795:0.360109:0.578247:0.355418:0.578247:0.000000:0.000000:0.000000
2:@0.363473:0.601187:0.368163:0.601187:0.368163:0.592639:0.363473:0.592639:0.000000
2:@0.355418:0.618406:0.360109:0.618406:0.360109:0.609858:0.355418:0.609858:0.000000
1:@0.374452:0.593691:0.382546:0.593691:0.382546:0.578941:0.374452:0.578941:0.000000
3:@0.332758:0.608080:0.340851:0.608080:0.340851:0.593330:0.332758:0.593330:0.000000
1:@0.374452:0.625304:0.382546:0.625304:0.382546:0.610554:0.374452:0.610554:0.000000
−:@0.364322:0.594301:0.373427:0.594301:0.373427:0.580286:0.364322:0.580286:0.000000
−:@0.342884:0.608692:0.351989:0.608692:0.351989:0.594677:0.342884:0.594677:0.000000
+:@0.372372:0.608692:0.381477:0.608692:0.381477:0.594677:0.372372:0.594677:0.000000
−:@0.364328:0.625919:0.373433:0.625919:0.373433:0.611904:0.364328:0.611904:0.000000
x:@0.355323:0.608082:0.362039:0.608082:0.362039:0.593357:0.355323:0.593357:0.000000
x:@0.385109:0.608082:0.391826:0.608082:0.391826:0.593357:0.385109:0.593357:0.000000
x:@0.347262:0.625309:0.353979:0.625309:0.353979:0.610584:0.347262:0.610584:0.000000
Paso 2.:@0.102121:0.654064:0.154372:0.654064:0.154372:0.638486:0.102121:0.638486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Simplificamos los términos que sean posibles.:@0.154372:0.654064:0.462944:0.654064:0.462944:0.639165:0.154372:0.639165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hx:@0.104618:0.703532:0.125101:0.703532:0.125101:0.688806:0.104618:0.688806:0.000000:0.000000
x:@0.180046:0.677504:0.186763:0.677504:0.186763:0.662779:0.180046:0.662779:0.000000
x:@0.209534:0.677504:0.216251:0.677504:0.216251:0.662779:0.209534:0.662779:0.000000
x:@0.171704:0.696636:0.178421:0.696636:0.178421:0.681911:0.171704:0.681911:0.000000
x:@0.179764:0.713116:0.186481:0.713116:0.186481:0.698391:0.179764:0.698391:0.000000
x:@0.209551:0.713116:0.216268:0.713116:0.216268:0.698391:0.209551:0.698391:0.000000
x:@0.171704:0.732247:0.178421:0.732247:0.178421:0.717522:0.171704:0.717522:0.000000
x:@0.242422:0.695652:0.249139:0.695652:0.249139:0.680927:0.242422:0.680927:0.000000
x:@0.271910:0.695652:0.278627:0.695652:0.278627:0.680927:0.271910:0.680927:0.000000
x:@0.247082:0.713303:0.253799:0.713303:0.253799:0.698578:0.247082:0.698578:0.000000
x:@0.276869:0.713303:0.283586:0.713303:0.283586:0.698578:0.276869:0.698578:0.000000
():@0.112380:0.703544:0.131104:0.703544:0.131104:0.688794:0.112380:0.688794:0.000000:0.000000
==:@0.133775:0.704154:0.151918:0.704154:0.151918:0.690138:0.133775:0.690138:0.000000:0.000000
+:@0.167326:0.678127:0.176431:0.678127:0.176431:0.664111:0.167326:0.664111:0.000000
−:@0.197112:0.678127:0.206217:0.678127:0.206217:0.664111:0.197112:0.664111:0.000000
−:@0.188770:0.697258:0.197875:0.697258:0.197875:0.683243:0.188770:0.683243:0.000000
−:@0.167326:0.713738:0.176431:0.713738:0.176431:0.699723:0.167326:0.699723:0.000000
+:@0.196814:0.713738:0.205919:0.713738:0.205919:0.699723:0.196814:0.699723:0.000000
−:@0.188770:0.732870:0.197875:0.732870:0.197875:0.718854:0.188770:0.718854:0.000000
=:@0.223167:0.704154:0.232272:0.704154:0.232272:0.690138:0.223167:0.690138:0.000000
−+:@0.259488:0.696262:0.291447:0.696262:0.291447:0.682247:0.259488:0.682247:0.000000:0.000000
−:@0.236733:0.713913:0.245839:0.713913:0.245839:0.699897:0.236733:0.699897:0.000000
+ +:@0.264148:0.713913:0.296389:0.713913:0.296389:0.699897:0.264148:0.699897:0.000000:0.000000:0.000000
3:@0.157192:0.677517:0.165286:0.677517:0.165286:0.662767:0.157192:0.662767:0.000000
1:@0.198887:0.696648:0.206980:0.696648:0.206980:0.681898:0.198887:0.681898:0.000000
3:@0.157192:0.713128:0.165286:0.713128:0.165286:0.698378:0.157192:0.698378:0.000000
1:@0.198887:0.732260:0.206980:0.732260:0.206980:0.717510:0.198887:0.717510:0.000000
3:@0.293785:0.695665:0.301879:0.695665:0.301879:0.680915:0.293785:0.680915:0.000000
3:@0.298728:0.713315:0.306821:0.713315:0.306821:0.698565:0.298728:0.698565:0.000000
2:@0.188202:0.670610:0.192893:0.670610:0.192893:0.662061:0.188202:0.662061:0.000000
2:@0.179859:0.689740:0.184550:0.689740:0.184550:0.681192:0.179859:0.681192:0.000000
2:@0.187914:0.706217:0.192604:0.706217:0.192604:0.697668:0.187914:0.697668:0.000000
2:@0.179859:0.725348:0.184550:0.725348:0.184550:0.716799:0.179859:0.716799:0.000000
2:@0.250582:0.688745:0.255273:0.688745:0.255273:0.680197:0.250582:0.680197:0.000000
2:@0.255244:0.706390:0.259934:0.706390:0.259934:0.697842:0.255244:0.697842:0.000000
Ejemplos paso a paso:@0.096359:0.116969:0.251252:0.116969:0.251252:0.101605:0.096359:0.101605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.096359:0.144572:0.110585:0.144572:0.110585:0.127671:0.096359:0.127671:0.000000:0.000000
  Respondamos las preguntas del problema inicial: :@0.110585:0.144572:0.488075:0.144572:0.488075:0.128183:0.110585:0.128183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el cálculo con números :@0.754293:0.152609:0.933558:0.152609:0.933558:0.137710:0.754293:0.137710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reales se cumple::@0.754293:0.167696:0.868343:0.167696:0.868343:0.152797:0.754293:0.152797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Teorema:@0.754293:0.186342:0.814769:0.186342:0.814769:0.171229:0.754293:0.171229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i.:@0.754293:0.204988:0.762535:0.204988:0.762535:0.189624:0.754293:0.189624:0.000000:0.000000
  (  –  ) =   –  .:@0.762535:0.204988:0.878897:0.204988:0.878897:0.190089:0.762535:0.190089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.771045:0.204988:0.811368:0.204988:0.811368:0.190114:0.771045:0.190114:0.000000:0.000000:0.000000:0.000000:0.000000
xy xz:@0.833129:0.204988:0.875982:0.204988:0.875982:0.190114:0.833129:0.190114:0.000000:0.000000:0.000000:0.000000:0.000000
ii.:@0.754293:0.234748:0.766823:0.234748:0.766823:0.219384:0.754293:0.219384:0.000000:0.000000:0.000000
x:@0.771817:0.229015:0.778534:0.229015:0.778534:0.214290:0.771817:0.214290:0.000000
y:@0.771917:0.246665:0.778650:0.246665:0.778650:0.231940:0.771917:0.231940:0.000000
z:@0.797408:0.229015:0.803926:0.229015:0.803926:0.214290:0.797408:0.214290:0.000000
u:@0.796230:0.246665:0.804622:0.246665:0.804622:0.231940:0.796230:0.231940:0.000000
xu yz:@0.823745:0.229015:0.867860:0.229015:0.867860:0.214290:0.823745:0.214290:0.000000:0.000000:0.000000:0.000000:0.000000
yu:@0.838770:0.246665:0.853896:0.246665:0.853896:0.231940:0.838770:0.231940:0.000000:0.000000
+:@0.783644:0.236527:0.792750:0.236527:0.792750:0.221279:0.783644:0.221279:0.000000
=:@0.809417:0.236527:0.818522:0.236527:0.818522:0.221279:0.809417:0.221279:0.000000
+:@0.841645:0.228641:0.850750:0.228641:0.850750:0.213394:0.841645:0.213394:0.000000
 ,:@0.873871:0.234759:0.877825:0.234759:0.877825:0.219860:0.873871:0.219860:0.000000:0.000000
  siempre que   ≠ 0,   ≠ 0.:@0.754293:0.264520:0.929958:0.264520:0.929958:0.249621:0.754293:0.249621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.856197:0.264520:0.862999:0.264520:0.862999:0.249646:0.856197:0.249646:0.000000
u:@0.893907:0.264520:0.902384:0.264520:0.902384:0.249646:0.893907:0.249646:0.000000
iii.:@0.754293:0.294280:0.771112:0.294280:0.771112:0.278916:0.754293:0.278916:0.000000:0.000000:0.000000:0.000000
x:@0.776106:0.288180:0.782823:0.288180:0.782823:0.273455:0.776106:0.273455:0.000000
y:@0.776205:0.305830:0.782939:0.305830:0.782939:0.291105:0.776205:0.291105:0.000000
z:@0.801414:0.288180:0.807932:0.288180:0.807932:0.273455:0.801414:0.273455:0.000000
u:@0.800237:0.305830:0.808629:0.305830:0.808629:0.291105:0.800237:0.291105:0.000000
xu yz:@0.827751:0.288180:0.871585:0.288180:0.871585:0.273455:0.827751:0.273455:0.000000:0.000000:0.000000:0.000000:0.000000
yu:@0.842644:0.305830:0.857770:0.305830:0.857770:0.291105:0.842644:0.291105:0.000000:0.000000
−=:@0.787933:0.295692:0.822529:0.295692:0.822529:0.280444:0.787933:0.280444:0.000000:0.000000
−:@0.845650:0.287806:0.854755:0.287806:0.854755:0.272558:0.845650:0.272558:0.000000
,:@0.876652:0.294278:0.879684:0.294278:0.879684:0.279404:0.876652:0.279404:0.000000
  siempre que   ≠ 0,   ≠ 0.:@0.754293:0.324038:0.929958:0.324038:0.929958:0.309139:0.754293:0.309139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.856197:0.324038:0.862999:0.324038:0.862999:0.309164:0.856197:0.309164:0.000000
u:@0.893907:0.324038:0.902384:0.324038:0.902384:0.309164:0.893907:0.309164:0.000000
iv.:@0.754293:0.353798:0.770308:0.353798:0.770308:0.338434:0.754293:0.338434:0.000000:0.000000:0.000000
 :@0.770308:0.353798:0.773977:0.353798:0.773977:0.338899:0.770308:0.338899:0.000000
x:@0.776041:0.348378:0.782757:0.348378:0.782757:0.333653:0.776041:0.333653:0.000000
y u:@0.776140:0.366028:0.807005:0.366028:0.807005:0.351303:0.776140:0.351303:0.000000:0.000000:0.000000
z:@0.799790:0.348378:0.806308:0.348378:0.806308:0.333653:0.799790:0.333653:0.000000
xz:@0.826741:0.348378:0.839992:0.348378:0.839992:0.333653:0.826741:0.333653:0.000000:0.000000
yu:@0.826359:0.366028:0.841484:0.366028:0.841484:0.351303:0.826359:0.351303:0.000000:0.000000
×=:@0.786829:0.355890:0.820911:0.355890:0.820911:0.340642:0.786829:0.340642:0.000000:0.000000
,:@0.846431:0.353797:0.849346:0.353797:0.849346:0.338898:0.846431:0.338898:0.000000
  siempre que   ≠ 0,   ≠ 0.:@0.754293:0.383557:0.929958:0.383557:0.929958:0.368658:0.754293:0.368658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.856197:0.383557:0.862999:0.383557:0.862999:0.368683:0.856197:0.368683:0.000000
u:@0.893907:0.383557:0.902384:0.383557:0.902384:0.368683:0.893907:0.368683:0.000000
v.:@0.754293:0.413318:0.766019:0.413318:0.766019:0.397953:0.754293:0.397953:0.000000:0.000000
 :@0.766019:0.413318:0.769688:0.413318:0.769688:0.398419:0.766019:0.398419:0.000000
y:@0.777029:0.406612:0.783762:0.406612:0.783762:0.391887:0.777029:0.391887:0.000000
z:@0.776935:0.422419:0.783453:0.422419:0.783453:0.407694:0.776935:0.407694:0.000000
u:@0.775757:0.439640:0.784149:0.439640:0.784149:0.424915:0.775757:0.424915:0.000000
xu:@0.804599:0.406618:0.819724:0.406618:0.819724:0.391893:0.804599:0.391893:0.000000:0.000000
yz:@0.805252:0.424257:0.818503:0.424257:0.818503:0.409532:0.805252:0.409532:0.000000:0.000000
=:@0.790276:0.414125:0.799381:0.414125:0.799381:0.398877:0.790276:0.398877:0.000000
, :@0.823815:0.413315:0.830399:0.413315:0.830399:0.398416:0.823815:0.398416:0.000000:0.000000
con   ≠ 0,   ≠ 0,   ≠ 0.:@0.754293:0.461721:0.897760:0.461721:0.897760:0.446822:0.754293:0.446822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.783324:0.461721:0.790126:0.461721:0.790126:0.446847:0.783324:0.446847:0.000000
z:@0.822207:0.461721:0.828791:0.461721:0.828791:0.446847:0.822207:0.446847:0.000000
u:@0.860871:0.461721:0.869348:0.461721:0.869348:0.446847:0.860871:0.446847:0.000000
     Matemática:@0.775158:0.120168:0.882699:0.120168:0.882699:0.103267:0.775158:0.103267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Albert Einstein dijo: “Hay una fuerza motriz más poderosa :@0.110368:0.845808:0.493740:0.845808:0.493740:0.830909:0.110368:0.830909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que el vapor, la electricidad y la energía atómica: la :@0.110368:0.860895:0.451023:0.860895:0.451023:0.845996:0.110368:0.845996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
voluntad”. :@0.110368:0.875983:0.179572:0.875983:0.179572:0.861084:0.110368:0.861084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo puedes aplicar estas sabias palabras del gran genio :@0.110368:0.894629:0.484392:0.894629:0.484392:0.879755:0.110368:0.879755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para mejorar tu vida diaria?:@0.110368:0.909716:0.285529:0.909716:0.285529:0.894842:0.110368:0.894842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Socioemocional:@0.115617:0.813366:0.254389:0.813366:0.254389:0.796465:0.115617:0.796465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.728492:0.831452:0.728492:0.788626:0.716581:0.788626:0.716581:0.831452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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