68:@0.067867:0.963104:0.095634:0.963104:0.095634:0.941283:0.067867:0.941283:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.º EGB:@0.120102:0.967458:0.170641:0.967458:0.170641:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.070720:0.123711:0.114363:0.123711:0.114363:0.103460:0.070720:0.103460:0.000000:0.000000:0.000000
. Representación:@0.114363:0.123082:0.246653:0.123082:0.246653:0.106182:0.114363:0.106182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La construcción de conjuntos que tienen el mismo número de elementos, :@0.287495:0.149253:0.904907:0.149253:0.904907:0.129884:0.287495:0.129884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para entender la multiplicación, se llama modelo grupal de la :@0.287495:0.168867:0.821878:0.168867:0.821878:0.149498:0.287495:0.149498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
multiplicación. Observa.:@0.287495:0.188481:0.495581:0.188481:0.495581:0.169112:0.287495:0.169112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 :@0.094760:0.108604:0.183816:0.108604:0.183816:0.011516:0.094760:0.011516:0.000000:0.000000
Multiplicación:@0.286308:0.079033:0.533814:0.079033:0.533814:0.042159:0.286308:0.042159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La representación de la multiplicación en la semirrecta numérica se :@0.287815:0.778995:0.908359:0.778995:0.908359:0.758367:0.287815:0.758367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conoce como modelo lineal. Mira el ejemplo.:@0.287815:0.799885:0.678051:0.799885:0.678051:0.779256:0.287815:0.779256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4 saltos de 6:@0.541512:0.835944:0.648419:0.835944:0.648419:0.816576:0.541512:0.816576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4 veces 6:@0.310512:0.914710:0.389958:0.914710:0.389958:0.895342:0.310512:0.895342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6 + 6 + 6 + 6 = 24:@0.446320:0.914710:0.600160:0.914710:0.600160:0.895342:0.446320:0.895342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4 × 6 = 24:@0.650207:0.914710:0.737755:0.914710:0.737755:0.895342:0.650207:0.895342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2   3 = 6    o      2   3 = 6:@0.475117:0.434856:0.680637:0.434856:0.680637:0.415488:0.475117:0.415488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.490514:0.434856:0.503494:0.434856:0.503494:0.415488:0.490514:0.415488:0.000000
•:@0.626715:0.434856:0.632094:0.434856:0.632094:0.415488:0.626715:0.415488:0.000000
4   2 = 8    o    4   2 = 8:@0.492293:0.737616:0.688275:0.737616:0.688275:0.718247:0.492293:0.718247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.507691:0.737616:0.520670:0.737616:0.520670:0.718247:0.507691:0.718247:0.000000
•:@0.634352:0.737616:0.639731:0.737616:0.639731:0.718247:0.634352:0.718247:0.000000
Multiplicar es sumar varias veces el mismo número.:@0.365121:0.475842:0.808168:0.475842:0.808168:0.456473:0.365121:0.456473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.626537:0.551901:0.637709:0.551901:0.637709:0.532254:0.626537:0.532254:0.000000
2:@0.704372:0.551901:0.715544:0.551901:0.715544:0.532254:0.704372:0.532254:0.000000
2:@0.782207:0.551901:0.793379:0.551901:0.793379:0.532254:0.782207:0.532254:0.000000
2:@0.860044:0.551901:0.871216:0.551901:0.871216:0.532254:0.860044:0.532254:0.000000
2:@0.650280:0.584400:0.661452:0.584400:0.661452:0.564753:0.650280:0.564753:0.000000
2:@0.771847:0.584400:0.783020:0.584400:0.783020:0.564753:0.771847:0.564753:0.000000
2:@0.711063:0.584400:0.722235:0.584400:0.722235:0.564753:0.711063:0.564753:0.000000
2:@0.832630:0.584400:0.843802:0.584400:0.843802:0.564753:0.832630:0.564753:0.000000
8:@0.740747:0.616740:0.752420:0.616740:0.752420:0.596767:0.740747:0.596767:0.000000
0:@0.309843:0.892255:0.320471:0.892255:0.320471:0.872886:0.309843:0.872886:0.000000
2:@0.354205:0.892255:0.364833:0.892255:0.364833:0.872886:0.354205:0.872886:0.000000
6:@0.442929:0.892255:0.453557:0.892255:0.453557:0.872886:0.442929:0.872886:0.000000
10:@0.526339:0.892255:0.547595:0.892255:0.547595:0.872886:0.526339:0.872886:0.000000:0.000000
14:@0.615063:0.892255:0.636319:0.892255:0.636319:0.872886:0.615063:0.872886:0.000000:0.000000
18:@0.703787:0.892255:0.725043:0.892255:0.725043:0.872886:0.703787:0.872886:0.000000:0.000000
4:@0.398567:0.892255:0.409195:0.892255:0.409195:0.872886:0.398567:0.872886:0.000000
8:@0.487291:0.892255:0.497919:0.892255:0.497919:0.872886:0.487291:0.872886:0.000000
12:@0.570701:0.892255:0.591957:0.892255:0.591957:0.872886:0.570701:0.872886:0.000000:0.000000
16:@0.659425:0.892255:0.680681:0.892255:0.680681:0.872886:0.659425:0.872886:0.000000:0.000000
20:@0.748138:0.892255:0.769393:0.892255:0.769393:0.872886:0.748138:0.872886:0.000000:0.000000
22:@0.792498:0.892255:0.813754:0.892255:0.813754:0.872886:0.792498:0.872886:0.000000:0.000000
24:@0.836860:0.892255:0.858116:0.892255:0.858116:0.872886:0.836860:0.872886:0.000000:0.000000
3   +   3   =  6 flores:@0.382855:0.350131:0.544708:0.350131:0.544708:0.330762:0.382855:0.330762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 veces el 3 = 6:@0.397512:0.376871:0.530053:0.376871:0.530053:0.357502:0.397512:0.357502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 regletas de 3 = 6:@0.706064:0.363501:0.865698:0.363501:0.865698:0.344132:0.706064:0.344132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.779324:0.320079:0.790997:0.320079:0.790997:0.300105:0.779324:0.300105:0.000000
3:@0.734816:0.288945:0.745988:0.288945:0.745988:0.269299:0.734816:0.269299:0.000000
3:@0.721520:0.257398:0.732692:0.257398:0.732692:0.237752:0.721520:0.237752:0.000000
3:@0.825760:0.288945:0.836932:0.288945:0.836932:0.269299:0.825760:0.269299:0.000000
3:@0.839525:0.257398:0.850698:0.257398:0.850698:0.237752:0.839525:0.237752:0.000000
2 + 2 + 2 + 2 = 8 rocas :@0.352798:0.657079:0.551042:0.657079:0.551042:0.637711:0.352798:0.637711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4 veces el 2 = 8:@0.383266:0.676693:0.515807:0.676693:0.515807:0.657325:0.383266:0.657325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4 regletas de 2 = 8 :@0.668668:0.657079:0.833071:0.657079:0.833071:0.637711:0.668668:0.637711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4 veces el 2 = 8 :@0.682214:0.676693:0.819525:0.676693:0.819525:0.657325:0.682214:0.657325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La multiplicación es :@0.099336:0.262376:0.248471:0.262376:0.248471:0.245987:0.099336:0.245987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una suma abreviada de :@0.073501:0.278724:0.248469:0.278724:0.248469:0.262335:0.073501:0.262335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sumandos iguales que :@0.079213:0.295071:0.248471:0.295071:0.248471:0.278682:0.079213:0.278682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pueden repetirse :@0.118593:0.311418:0.248469:0.311418:0.248469:0.295029:0.118593:0.295029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
muchas veces.  :@0.138016:0.327766:0.248471:0.327766:0.248471:0.311377:0.138016:0.311377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se representa con los :@0.088003:0.344113:0.248469:0.344113:0.248469:0.327724:0.088003:0.327724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
signos   o  .:@0.156628:0.360461:0.244436:0.360461:0.244436:0.344072:0.156628:0.344072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• ×:@0.207820:0.360461:0.241229:0.360461:0.241229:0.344072:0.207820:0.344072:0.000000:0.000000:0.000000
Si usas el teclado de la :@0.090583:0.380376:0.247751:0.380376:0.247751:0.364015:0.090583:0.364015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
computadora, el símbolo :@0.069318:0.396724:0.247751:0.396724:0.247751:0.380362:0.069318:0.380362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para multiplicar es el :@0.100331:0.413071:0.247751:0.413071:0.247751:0.396710:0.100331:0.396710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asterisco (*).:@0.159871:0.429419:0.244436:0.429419:0.244436:0.413057:0.159871:0.413057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    Comunicacional:@0.101217:0.228678:0.237278:0.228678:0.237278:0.211777:0.101217:0.211777:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Somos seres sociales :@0.092464:0.602725:0.248470:0.602725:0.248470:0.586336:0.092464:0.586336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que vivimos y :@0.143416:0.619072:0.248472:0.619072:0.248472:0.602683:0.143416:0.602683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trabajamos en :@0.139473:0.635420:0.248472:0.635420:0.248472:0.619031:0.139473:0.619031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunidad. Trabajar en :@0.072359:0.651767:0.248468:0.651767:0.248468:0.635378:0.072359:0.635378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
equipo es una tarea :@0.099356:0.668115:0.248470:0.668115:0.248470:0.651726:0.099356:0.651726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que debemos aprender :@0.070830:0.684462:0.248470:0.684462:0.248470:0.668073:0.070830:0.668073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desde niños. Muchas :@0.090750:0.700810:0.248470:0.700810:0.248470:0.684421:0.090750:0.684421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de las habilidades :@0.114006:0.717157:0.248472:0.717157:0.248472:0.700768:0.114006:0.700768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
adquiridas en la :@0.128582:0.733504:0.248470:0.733504:0.248470:0.717115:0.128582:0.717115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escuela, al trabajar en :@0.087230:0.749852:0.248472:0.749852:0.248472:0.733463:0.087230:0.733463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
grupo, nos ayudarán a :@0.081241:0.766199:0.248470:0.766199:0.248470:0.749810:0.081241:0.749810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desenvolvernos en :@0.105953:0.782547:0.248470:0.782547:0.248470:0.766158:0.105953:0.766158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nuestro entorno.:@0.121874:0.798894:0.244435:0.798894:0.244435:0.782505:0.121874:0.782505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.073185:0.858615:0.073185:0.853507:0.061103:0.853507:0.061103:0.858615:0.000000
Freepik:@0.073185:0.853507:0.073185:0.831857:0.061274:0.831857:0.061274:0.853507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Socioemocional:@0.100184:0.569917:0.238956:0.569917:0.238956:0.553016:0.100184:0.553016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.2.1.26. :@0.292638:0.965847:0.347881:0.965847:0.347881:0.953556:0.292638:0.953556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Realizar multiplicaciones en función del modelo grupal, geométrico y lineal.:@0.347881:0.965847:0.751031:0.965847:0.751031:0.953928:0.347881:0.953928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000