64:@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
9.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
Adición y sustracción de polinomios:@0.286308:0.079033:0.910703:0.079033:0.910703:0.042159:0.286308:0.042159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108604:0.159692:0.108604:0.159692:0.011516:0.094760:0.011516:0.000000
La suma de monomios y polinomios es una operación fundamental en el álgebra :@0.287495:0.153866:0.907051:0.153866:0.907051:0.137477:0.287495:0.137477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y se utiliza principalmente para simplificar y reducir expresiones algebraicas.:@0.287495:0.170462:0.842326:0.170462:0.842326:0.154073:0.287495:0.154073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Esta operación se realiza sumando entre sí los términos semejantes; de no existir :@0.287495:0.194181:0.907138:0.194181:0.907138:0.177792:0.287495:0.177792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
términos semejantes, la suma se deja expresada como tal, por ejemplo a + b. :@0.287495:0.210778:0.852772:0.210778:0.852772:0.194389:0.287495:0.194389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Analicemos el siguiente ejemplo. Los ordenadores :@0.287495:0.234497:0.707662:0.234497:0.707662:0.218108:0.287495:0.218108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
actuales pueden ser mejorados en su desempeño :@0.287495:0.251093:0.707682:0.251093:0.707682:0.234704:0.287495:0.234704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al aumentar su memoria RAM. Si un ordenador está :@0.287495:0.267689:0.707625:0.267689:0.707625:0.251301:0.287495:0.251301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diseñado  con  una cierta cantidad  de  RAM,  medida :@0.287495:0.284286:0.707653:0.284286:0.707653:0.267897:0.287495:0.267897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en gigabytes (GB), y existe la posibilidad de agregarle :@0.287495:0.300882:0.707588:0.300882:0.707588:0.284493:0.287495:0.284493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el triple, ¿cuál es la expresión algebraica que representa :@0.287495:0.317479:0.707636:0.317479:0.707636:0.301090:0.287495:0.301090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la cantidad de memoria inicial, lo posible de agregar :@0.287495:0.334075:0.707644:0.334075:0.707644:0.317686:0.287495:0.317686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y el total máximo de memoria que puede tener :@0.287495:0.350671:0.707644:0.350671:0.707644:0.334282:0.287495:0.334282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ese ordenador?:@0.287495:0.367268:0.400807:0.367268:0.400807:0.350879:0.287495:0.350879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Como no conocemos la cantidad de memoria colocada :@0.287495:0.390987:0.707609:0.390987:0.707609:0.374598:0.287495:0.374598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inicialmente, usamos   para representarla.:@0.287495:0.407583:0.592928:0.407583:0.592928:0.391194:0.287495:0.391194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.445732:0.407583:0.453195:0.407583:0.453195:0.391222:0.445732:0.391222:0.000000
Si  la  cantidad  inicial es  ,  el  triple  queda  representado :@0.287495:0.431302:0.707646:0.431302:0.707646:0.414913:0.287495:0.414913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.469026:0.431302:0.476489:0.431302:0.476489:0.414941:0.469026:0.414941:0.000000
con 3:@0.287495:0.447898:0.328423:0.447898:0.328423:0.431509:0.287495:0.431509:0.000000:0.000000:0.000000:0.000000:0.000000
x.:@0.328423:0.447898:0.339222:0.447898:0.339222:0.431537:0.328423:0.431537:0.000000:0.000000
La cantidad máxima posible la obtenemos al sumar la inicial con lo posible :@0.287495:0.471617:0.907088:0.471617:0.907088:0.455228:0.287495:0.455228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de agregar:@0.287495:0.488214:0.366734:0.488214:0.366734:0.471825:0.287495:0.471825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x +  x:@0.574524:0.504810:0.616060:0.504810:0.616060:0.488449:0.574524:0.488449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.599604:0.504810:0.608597:0.504810:0.608597:0.488421:0.599604:0.488421:0.000000
Como los términos son semejantes, al reducirlos obtenemos: 4:@0.287495:0.531005:0.745783:0.531005:0.745783:0.514616:0.287495:0.514616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.745783:0.531005:0.753247:0.531005:0.753247:0.514643:0.745783:0.514643:0.000000
Adición y sustracción de monomios:@0.287495:0.570919:0.645133:0.570919:0.645133:0.549409:0.287495:0.549409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sumar o restar monomios significa obtener una expresión algebraica después :@0.296992:0.602192:0.898192:0.602192:0.898192:0.585803:0.296992:0.585803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de reducir términos semejantes.:@0.296992:0.618788:0.531554:0.618788:0.531554:0.602399:0.296992:0.602399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos::@0.287502:0.652105:0.357859:0.652105:0.357859:0.635468:0.287502:0.635468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.287502:0.683376:0.306225:0.683376:0.306225:0.666475:0.287502:0.666475:0.000000:0.000000:0.000000
Suma los monomios :@0.311237:0.683376:0.465919:0.683376:0.465919:0.666987:0.311237:0.666987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.479475:0.682728:0.486592:0.682728:0.486592:0.667124:0.479475:0.667124:0.000000
y:@0.515168:0.682728:0.522303:0.682728:0.522303:0.667124:0.515168:0.667124:0.000000
x:@0.553814:0.682728:0.560932:0.682728:0.560932:0.667124:0.553814:0.667124:0.000000
z:@0.589121:0.682728:0.596028:0.682728:0.596028:0.667124:0.589121:0.667124:0.000000
y:@0.625958:0.682728:0.633093:0.682728:0.633093:0.667124:0.625958:0.667124:0.000000
3, 2, 4:@0.470090:0.682728:0.551916:0.682728:0.551916:0.667098:0.470090:0.667098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, 7, 2.:@0.569649:0.682728:0.637012:0.682728:0.637012:0.667098:0.569649:0.667098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.488162:0.675422:0.493133:0.675422:0.493133:0.666364:0.488162:0.666364:0.000000
2:@0.562505:0.675422:0.567475:0.675422:0.567475:0.666364:0.562505:0.666364:0.000000
−:@0.531250:0.683374:0.467349:0.683374:0.467349:0.668522:0.531250:0.668522:0.000000
−:@0.604799:0.683374:0.540898:0.683374:0.540898:0.668522:0.604799:0.668522:0.000000
Solución:@0.287495:0.709575:0.351273:0.709575:0.351273:0.692938:0.287495:0.692938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.299953:0.738080:0.307416:0.738080:0.307416:0.721718:0.299953:0.721718:0.000000
y:@0.340678:0.738080:0.348159:0.738080:0.348159:0.721718:0.340678:0.721718:0.000000
x:@0.391519:0.738080:0.398983:0.738080:0.398983:0.721718:0.391519:0.721718:0.000000
z:@0.437109:0.738080:0.444351:0.738080:0.444351:0.721718:0.437109:0.721718:0.000000
y:@0.486790:0.738080:0.494272:0.738080:0.494272:0.721718:0.486790:0.721718:0.000000
3:@0.290112:0.738080:0.299105:0.738080:0.299105:0.721691:0.290112:0.721691:0.000000
2:@0.330432:0.738080:0.339425:0.738080:0.339425:0.721691:0.330432:0.721691:0.000000
(4:@0.364505:0.738080:0.389511:0.738080:0.389511:0.721691:0.364505:0.721691:0.000000:0.000000
)7:@0.408325:0.738080:0.435856:0.738080:0.435856:0.721691:0.408325:0.721691:0.000000:0.000000
(2 ):@0.460513:0.738080:0.501201:0.738080:0.501201:0.721691:0.460513:0.721691:0.000000:0.000000:0.000000:0.000000
2:@0.309064:0.730415:0.314276:0.730415:0.314276:0.720917:0.309064:0.720917:0.000000
2:@0.400631:0.730415:0.405843:0.730415:0.405843:0.720917:0.400631:0.720917:0.000000
+:@0.318591:0.738755:0.328708:0.738755:0.328708:0.723182:0.318591:0.723182:0.000000
+ −:@0.352037:0.738755:0.380692:0.738755:0.380692:0.723182:0.352037:0.723182:0.000000:0.000000:0.000000
+:@0.415447:0.738755:0.425564:0.738755:0.425564:0.723182:0.415447:0.723182:0.000000
+−:@0.448064:0.738755:0.476719:0.738755:0.476719:0.723182:0.448064:0.723182:0.000000:0.000000
Colocamos los signos de suma.:@0.528740:0.739336:0.757167:0.739336:0.757167:0.722947:0.528740:0.722947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.317965:0.761838:0.328081:0.761838:0.328081:0.746265:0.317965:0.746265:0.000000
−:@0.351208:0.761838:0.361325:0.761838:0.361325:0.746265:0.351208:0.746265:0.000000
+:@0.392818:0.761838:0.402935:0.761838:0.402935:0.746265:0.392818:0.746265:0.000000
−:@0.424495:0.761838:0.434612:0.761838:0.434612:0.746265:0.424495:0.746265:0.000000
x:@0.297842:0.761156:0.305747:0.761156:0.310551:0.744767:0.302646:0.744767:0.000000
y:@0.337940:0.761156:0.346048:0.761156:0.350852:0.744767:0.342744:0.744767:0.000000
x:@0.372695:0.761156:0.380600:0.761156:0.385404:0.744767:0.377499:0.744767:0.000000
z:@0.412019:0.761156:0.419446:0.761156:0.424250:0.744767:0.416823:0.744767:0.000000
y:@0.445263:0.761156:0.453371:0.761156:0.458175:0.744767:0.450067:0.744767:0.000000
3:@0.290112:0.761156:0.299105:0.761156:0.299105:0.744767:0.290112:0.744767:0.000000
2:@0.329068:0.761156:0.338061:0.761156:0.338061:0.744767:0.329068:0.744767:0.000000
4:@0.363823:0.761156:0.372815:0.761156:0.372815:0.744767:0.363823:0.744767:0.000000
7:@0.403497:0.761156:0.412490:0.761156:0.412490:0.744767:0.403497:0.744767:0.000000
2:@0.436391:0.761156:0.445383:0.761156:0.445383:0.744767:0.436391:0.744767:0.000000
2:@0.309483:0.753494:0.314695:0.753494:0.314695:0.743996:0.309483:0.743996:0.000000
2:@0.384347:0.753494:0.389559:0.753494:0.389559:0.743996:0.384347:0.743996:0.000000
  :@0.465655:0.768088:0.472455:0.768088:0.472455:0.751699:0.465655:0.751699:0.000000:0.000000
Destruimos paréntesis.:@0.528733:0.763053:0.694855:0.763053:0.694855:0.746665:0.528733:0.746665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.302625:0.785525:0.310088:0.785525:0.310088:0.769164:0.302625:0.769164:0.000000
z:@0.342944:0.785525:0.350186:0.785525:0.350186:0.769164:0.342944:0.769164:0.000000
7:@0.332673:0.785525:0.341666:0.785525:0.341666:0.769136:0.332673:0.769136:0.000000
2:@0.311733:0.777864:0.316944:0.777864:0.316944:0.768366:0.311733:0.768366:0.000000
−:@0.290479:0.786203:0.300596:0.786203:0.300596:0.770630:0.290479:0.770630:0.000000
+:@0.321272:0.786203:0.331388:0.786203:0.331388:0.770630:0.321272:0.770630:0.000000
Reducimos términos semejantes.:@0.528730:0.786784:0.770792:0.786784:0.770792:0.770395:0.528730:0.770395:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b)  :@0.287494:0.814278:0.311339:0.814278:0.311339:0.797378:0.287494:0.797378:0.000000:0.000000:0.000000:0.000000
Resta los monomios:  2:@0.311229:0.814278:0.488524:0.814280:0.488524:0.797891:0.311229:0.797889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ab:@0.488690:0.814280:0.513088:0.814280:0.513088:0.797918:0.488690:0.797918:0.000000:0.000000
3:@0.498532:0.806617:0.503744:0.806617:0.503744:0.797119:0.498532:0.797119:0.000000
−:@0.469582:0.814957:0.479699:0.814957:0.479699:0.799384:0.469582:0.799384:0.000000
de  5:@0.520885:0.814280:0.565820:0.814280:0.565820:0.797891:0.520885:0.797891:0.000000:0.000000:0.000000:0.000000:0.000000
ab:@0.565562:0.814280:0.589960:0.814280:0.589960:0.797918:0.565562:0.797918:0.000000:0.000000
3:@0.575404:0.806617:0.580615:0.806617:0.580615:0.797119:0.575404:0.797119:0.000000
−:@0.546873:0.814957:0.556990:0.814957:0.556990:0.799384:0.546873:0.799384:0.000000
Solución:@0.287504:0.840474:0.351282:0.840474:0.351282:0.823836:0.287504:0.823836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ab:@0.309175:0.868979:0.333573:0.868979:0.333573:0.852617:0.309175:0.852617:0.000000:0.000000
ab:@0.374040:0.868979:0.398438:0.868979:0.398438:0.852617:0.374040:0.852617:0.000000:0.000000
5:@0.300440:0.868979:0.309433:0.868979:0.309433:0.852590:0.300440:0.852590:0.000000
( 2:@0.348868:0.868979:0.373862:0.868977:0.373862:0.852588:0.348868:0.852590:0.000000:0.000000:0.000000
):@0.399422:0.868977:0.404305:0.868977:0.404305:0.852588:0.399422:0.852588:0.000000
3:@0.319010:0.861315:0.324222:0.861315:0.324222:0.851817:0.319010:0.851817:0.000000
3:@0.383878:0.861315:0.389090:0.861315:0.389090:0.851817:0.383878:0.851817:0.000000
−:@0.290479:0.869655:0.254674:0.869655:0.254674:0.854082:0.290479:0.854082:0.000000
−:@0.336401:0.869655:0.300596:0.869655:0.300596:0.854082:0.336401:0.854082:0.000000
−:@0.354920:0.869655:0.365037:0.869655:0.365037:0.854082:0.354920:0.854082:0.000000
Identificamos el minuendo y el sustraendo.:@0.528712:0.870236:0.843787:0.870236:0.843787:0.853847:0.528712:0.853847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ab:@0.309168:0.893959:0.333566:0.893959:0.333566:0.877597:0.309168:0.877597:0.000000:0.000000
ab:@0.358425:0.893959:0.382823:0.893959:0.382823:0.877597:0.358425:0.877597:0.000000:0.000000
5:@0.300415:0.893959:0.309408:0.893959:0.309408:0.877570:0.300415:0.877570:0.000000
2:@0.349267:0.893959:0.358259:0.893959:0.358259:0.877570:0.349267:0.877570:0.000000
3:@0.319010:0.886296:0.324222:0.886296:0.324222:0.876798:0.319010:0.876798:0.000000
3:@0.368275:0.886296:0.373487:0.886296:0.373487:0.876798:0.368275:0.876798:0.000000
−:@0.290479:0.894636:0.300596:0.894636:0.300596:0.879063:0.290479:0.879063:0.000000
+:@0.336401:0.894636:0.346517:0.894636:0.346517:0.879063:0.336401:0.879063:0.000000
  :@0.386340:0.898993:0.412157:0.898993:0.412157:0.882604:0.386340:0.882604:0.000000:0.000000
 :@0.468431:0.898993:0.472467:0.898993:0.472467:0.882604:0.468431:0.882604:0.000000
Destruimos el paréntesis.:@0.528730:0.893959:0.711731:0.893959:0.711731:0.877570:0.528730:0.877570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ab:@0.309168:0.918940:0.333566:0.918940:0.333566:0.902579:0.309168:0.902579:0.000000:0.000000
3:@0.300433:0.918940:0.309426:0.918940:0.309426:0.902551:0.300433:0.902551:0.000000
3:@0.319010:0.911279:0.324222:0.911279:0.324222:0.901781:0.319010:0.901781:0.000000
−:@0.290479:0.919618:0.300596:0.919618:0.300596:0.904045:0.290479:0.904045:0.000000
Reducimos términos semejantes.:@0.528737:0.917678:0.770798:0.917678:0.770798:0.901289:0.528737:0.901289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Memoria RAM:@0.817726:0.413121:0.903047:0.413121:0.903047:0.399712:0.817726:0.399712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.918441:0.318650:0.918441:0.313543:0.906359:0.313543:0.906359:0.318650:0.000000
Shutterstock:@0.918441:0.313543:0.918441:0.275825:0.906530:0.275825:0.906530:0.313543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática :@0.150168:0.422637:0.243213:0.422637:0.243213:0.405736:0.150168:0.405736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y computación:@0.127322:0.436467:0.239590:0.436467:0.239590:0.419566:0.127322:0.419566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los ordenadores tuvieron :@0.074051:0.454805:0.248007:0.454805:0.248007:0.439906:0.074051:0.439906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un precursor mecánico :@0.089799:0.469892:0.248008:0.469892:0.248008:0.454993:0.089799:0.454993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
creado, en 1642, por :@0.108913:0.484980:0.248008:0.484980:0.248008:0.470081:0.108913:0.470081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Blaise Pascal.:@0.160058:0.500068:0.244338:0.500068:0.244338:0.485169:0.160058:0.485169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En nuestro país, en 1902, :@0.079730:0.518713:0.248007:0.518713:0.248007:0.503814:0.079730:0.503814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.244336:0.518713:0.248005:0.518713:0.248005:0.503814:0.244336:0.503814:0.000000
el matemático y abogado :@0.072862:0.533801:0.248007:0.533801:0.248007:0.518902:0.072862:0.518902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Octavio Cordero Palacios :@0.078507:0.548889:0.248007:0.548889:0.248007:0.533990:0.078507:0.533990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inventó un ordenador :@0.097806:0.563976:0.248008:0.563976:0.248008:0.549077:0.097806:0.549077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mecánico al que nombró :@0.075760:0.579064:0.248007:0.579064:0.248007:0.564165:0.075760:0.564165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
‘clave poligráfica’:@0.134410:0.594151:0.245979:0.594151:0.245979:0.579252:0.134410:0.579252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o ‘metaglota’. Este :@0.127692:0.609239:0.248007:0.609239:0.248007:0.594340:0.127692:0.594340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dispositivo traducía :@0.114542:0.624327:0.248008:0.624327:0.248008:0.609428:0.114542:0.609428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
palabras de una lengua :@0.088291:0.639414:0.248008:0.639414:0.248008:0.624515:0.088291:0.624515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a otra. También inventó :@0.088090:0.654502:0.248007:0.654502:0.248007:0.639603:0.088090:0.639603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un ‘dispositivo numérico :@0.082310:0.669589:0.248005:0.669589:0.248005:0.654690:0.082310:0.654690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de cálculo para obtener :@0.085828:0.684677:0.248007:0.684677:0.248007:0.669778:0.085828:0.669778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la raíz cuadrada :@0.140692:0.699765:0.248008:0.699765:0.248008:0.684866:0.140692:0.684866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de números’.:@0.160410:0.714852:0.244338:0.714852:0.244338:0.699953:0.160410:0.699953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.089710:0.392221:0.246916:0.392221:0.246916:0.375321:0.089710:0.375321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga sobre :@0.164714:0.859393:0.250937:0.859393:0.250937:0.844519:0.164714:0.844519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Octavio Cordero Palacios :@0.088758:0.874480:0.250937:0.874480:0.250937:0.859607:0.088758:0.859607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y elabora una ficha :@0.126099:0.889568:0.250938:0.889568:0.250938:0.874694:0.126099:0.874694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bibliográfica.:@0.165133:0.904656:0.247921:0.904656:0.247921:0.889782:0.165133:0.889782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.076335:0.802652:0.076335:0.797545:0.064254:0.797545:0.064254:0.802652:0.000000
Wikimedia Commons:@0.076335:0.797545:0.076335:0.732827:0.064425:0.732827:0.064425:0.797545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si no logras llegar a la :@0.100940:0.198941:0.248009:0.198941:0.248009:0.184042:0.100940:0.184042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
respuesta de un ejercicio :@0.078341:0.214029:0.248006:0.214029:0.248006:0.199130:0.078341:0.199130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o problema, no te :@0.125247:0.229117:0.248007:0.229117:0.248007:0.214218:0.125247:0.214218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desanimes; vuelve a :@0.111092:0.244204:0.248007:0.244204:0.248007:0.229305:0.111092:0.229305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intentarlo, sé perseverante :@0.068641:0.259292:0.248006:0.259292:0.248006:0.244393:0.068641:0.244393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y no te rindas.:@0.151632:0.274380:0.244338:0.274380:0.244338:0.259481:0.151632:0.259481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
        Socioemocional:@0.094330:0.166499:0.243973:0.166499:0.243973:0.149599:0.094330:0.149599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.24. :@0.290067:0.960175:0.338404:0.960175:0.338404:0.949420:0.290067:0.949420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Operar con polinomios de grado ≤2 (adición y producto por escalar) en ejercicios numéricos y algebraicos. :@0.338404:0.960175:0.837710:0.960175:0.837710:0.949745:0.338404:0.949745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.62.:@0.272200:0.216698:0.272200:0.186546:0.258304:0.186546:0.258304:0.216698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000