Desarrollo del pensamiento:@0.554983:0.090773:0.884748:0.090773:0.884748:0.065849:0.554983:0.065849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 179:@0.942817:0.964671:0.976116:0.964671:0.976116:0.945025:0.942817:0.945025:0.000000:0.000000:0.000000 Cuadrados mágicos:@0.096359:0.137511:0.314624:0.137511:0.314624:0.114144:0.096359:0.114144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Los cuadrados mágicos son distribuciones de números en :@0.285292:0.184633:0.880138:0.184633:0.880138:0.164690:0.285292:0.164690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 celdas que se disponen formando un cuadrado, de forma que :@0.285292:0.205756:0.880163:0.205756:0.880163:0.185813:0.285292:0.185813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la suma de cualquiera de las filas, de cualquiera de las columnas :@0.285292:0.226879:0.880140:0.226879:0.880140:0.206935:0.285292:0.206935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y de las dos diagonales principales da siempre el mismo :@0.285292:0.248001:0.880138:0.248001:0.880138:0.228058:0.285292:0.228058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 resultado. El número resultante se denomina constante mágica.:@0.285292:0.269124:0.874950:0.269124:0.874950:0.249181:0.285292:0.249181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 8:@0.114799:0.191737:0.126244:0.191737:0.126244:0.171794:0.114799:0.171794:0.000000 3:@0.162292:0.191737:0.173737:0.191737:0.173737:0.171794:0.162292:0.171794:0.000000 4:@0.209785:0.191737:0.221230:0.191737:0.221230:0.171794:0.209785:0.171794:0.000000 1:@0.114822:0.227382:0.126268:0.227382:0.126268:0.207438:0.114822:0.207438:0.000000 5:@0.162315:0.227382:0.173761:0.227382:0.173761:0.207438:0.162315:0.207438:0.000000 9:@0.209809:0.227382:0.221254:0.227382:0.221254:0.207438:0.209809:0.207438:0.000000 6:@0.114846:0.263026:0.126291:0.263026:0.126291:0.243083:0.114846:0.243083:0.000000 7:@0.162339:0.263026:0.173784:0.263026:0.173784:0.243083:0.162339:0.243083:0.000000 2:@0.209832:0.263026:0.221277:0.263026:0.221277:0.243083:0.209832:0.243083:0.000000 En el cuadrado mágico de la figura, puedes comprobar que la constante mágica es 15.:@0.096412:0.328207:0.900803:0.328207:0.900803:0.308264:0.096412:0.308264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ahora :@0.096412:0.349330:0.157883:0.349330:0.157883:0.329386:0.096412:0.329386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 completa:@0.157883:0.349330:0.253315:0.349330:0.253315:0.327820:0.157883:0.327820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los cuadrados mágico.:@0.253315:0.349330:0.466714:0.349330:0.466714:0.329386:0.253315:0.329386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.096412:0.552336:0.116957:0.552336:0.116957:0.532393:0.096412:0.532393:0.000000:0.000000:0.000000:0.000000 1. :@0.123605:0.392194:0.146566:0.392194:0.146566:0.370684:0.123605:0.370684:0.000000:0.000000:0.000000 La constante mágica es 15.:@0.147340:0.392194:0.397772:0.392194:0.397772:0.372250:0.147340:0.372250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.223216:0.532369:0.227986:0.532369:0.227986:0.513850:0.223216:0.513850:0.000000 9:@0.293912:0.449870:0.305357:0.449870:0.305357:0.429927:0.293912:0.429927:0.000000 2:@0.341405:0.449870:0.352850:0.449870:0.352850:0.429927:0.341405:0.429927:0.000000 3:@0.246442:0.485514:0.257887:0.485514:0.257887:0.465571:0.246442:0.465571:0.000000 8:@0.246442:0.521159:0.257887:0.521159:0.257887:0.501215:0.246442:0.501215:0.000000 1:@0.293935:0.521159:0.305380:0.521159:0.305380:0.501215:0.293935:0.501215:0.000000 2. :@0.540875:0.392205:0.563836:0.392205:0.563836:0.370695:0.540875:0.370695:0.000000:0.000000:0.000000 Descubre:@0.564610:0.392205:0.660347:0.392205:0.660347:0.370695:0.564610:0.370695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la constante mágica.:@0.660347:0.392205:0.857095:0.392205:0.857095:0.372262:0.660347:0.372262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.640475:0.532369:0.645245:0.532369:0.645245:0.513850:0.640475:0.513850:0.000000 4:@0.663684:0.449870:0.675129:0.449870:0.675129:0.429927:0.663684:0.429927:0.000000 8:@0.758647:0.449870:0.770092:0.449870:0.770092:0.429927:0.758647:0.429927:0.000000 10:@0.705665:0.485514:0.728087:0.485514:0.728087:0.465571:0.705665:0.465571:0.000000:0.000000 12:@0.658172:0.521159:0.680594:0.521159:0.680594:0.501215:0.658172:0.501215:0.000000:0.000000 16:@0.753135:0.521159:0.775556:0.521159:0.775556:0.501215:0.753135:0.501215:0.000000:0.000000 Cálculo mental:@0.096324:0.599577:0.247291:0.599577:0.247291:0.578067:0.096324:0.578067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1. :@0.096324:0.629553:0.119285:0.629553:0.119285:0.608043:0.096324:0.608043:0.000000:0.000000:0.000000 Completa :@0.120059:0.629553:0.223441:0.629553:0.223441:0.608043:0.120059:0.608043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los cuadros restando el número que indica la flecha en cada caso.:@0.223441:0.629553:0.833179:0.629553:0.833179:0.609610:0.223441:0.609610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a):@0.120059:0.658562:0.138024:0.658562:0.138024:0.637404:0.120059:0.637404:0.000000:0.000000 :@0.138024:0.658562:0.164339:0.658562:0.164339:0.638618:0.138024:0.638618:0.000000:0.000000:0.000000:0.000000:0.000000 1,9:@0.176636:0.703157:0.202670:0.703157:0.202670:0.683214:0.176636:0.683214:0.000000:0.000000:0.000000 1,7:@0.285460:0.703157:0.311493:0.703157:0.311493:0.683214:0.285460:0.683214:0.000000:0.000000:0.000000 – 0,2:@0.224140:0.663046:0.266098:0.663046:0.266098:0.643103:0.224140:0.643103:0.000000:0.000000:0.000000:0.000000:0.000000 – 0,2:@0.441294:0.663046:0.483252:0.663046:0.483252:0.643103:0.441294:0.643103:0.000000:0.000000:0.000000:0.000000:0.000000 – 0,2:@0.333338:0.663046:0.375296:0.663046:0.375296:0.643103:0.333338:0.643103:0.000000:0.000000:0.000000:0.000000:0.000000 – 0,2:@0.550493:0.663046:0.592451:0.663046:0.592451:0.643103:0.550493:0.643103:0.000000:0.000000:0.000000:0.000000:0.000000 – 0,2:@0.660442:0.663046:0.702400:0.663046:0.702400:0.643103:0.660442:0.643103:0.000000:0.000000:0.000000:0.000000:0.000000 b):@0.120100:0.753099:0.140036:0.753099:0.140036:0.731942:0.120100:0.731942:0.000000:0.000000 :@0.140036:0.753099:0.164380:0.753099:0.164380:0.733156:0.140036:0.733156:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.183930:0.797712:0.195376:0.797712:0.195376:0.777769:0.183930:0.777769:0.000000 2,5:@0.285460:0.797712:0.311493:0.797712:0.311493:0.777769:0.285460:0.777769:0.000000:0.000000:0.000000 – 0,5:@0.224140:0.757602:0.266098:0.757602:0.266098:0.737658:0.224140:0.737658:0.000000:0.000000:0.000000:0.000000:0.000000 – 0,5:@0.441294:0.757602:0.483252:0.757602:0.483252:0.737658:0.441294:0.737658:0.000000:0.000000:0.000000:0.000000:0.000000 – 0,5:@0.333338:0.757602:0.375296:0.757602:0.375296:0.737658:0.333338:0.737658:0.000000:0.000000:0.000000:0.000000:0.000000 – 0,5:@0.550493:0.757602:0.592451:0.757602:0.592451:0.737658:0.550493:0.737658:0.000000:0.000000:0.000000:0.000000:0.000000 – 0,5:@0.660442:0.757602:0.702400:0.757602:0.702400:0.737658:0.660442:0.737658:0.000000:0.000000:0.000000:0.000000:0.000000 2. :@0.096342:0.848552:0.119303:0.848552:0.119303:0.827043:0.096342:0.827043:0.000000:0.000000:0.000000 Escribe:@0.120077:0.848552:0.192712:0.848552:0.192712:0.827043:0.120077:0.827043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el sumando conveniente para que resulte 1.:@0.192712:0.848552:0.606781:0.848552:0.606781:0.828609:0.192712:0.828609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a):@0.120077:0.877913:0.138042:0.877913:0.138042:0.856755:0.120077:0.856755:0.000000:0.000000 0,2 + 0,8 = 1 :@0.138042:0.877913:0.311597:0.877913:0.311597:0.857970:0.138042:0.857970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b):@0.386179:0.877913:0.406114:0.877913:0.406114:0.856755:0.386179:0.856755:0.000000:0.000000 0,3 + :@0.406114:0.877913:0.468664:0.877913:0.468664:0.857970:0.406114:0.857970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 = 1 :@0.531407:0.877909:0.584670:0.877909:0.584670:0.857966:0.531407:0.857966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c):@0.665935:0.877909:0.683103:0.877909:0.683103:0.856751:0.665935:0.856751:0.000000:0.000000 0,73 + :@0.683103:0.877909:0.755129:0.877909:0.755129:0.857966:0.683103:0.857966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 = 1:@0.821223:0.877909:0.871015:0.877909:0.871015:0.857966:0.821223:0.857966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d):@0.120109:0.907270:0.139997:0.907270:0.139997:0.886112:0.120109:0.886112:0.000000:0.000000 0,4 + :@0.139997:0.907270:0.202313:0.907270:0.202313:0.887326:0.139997:0.887326:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 = 1 :@0.265044:0.907268:0.311599:0.907268:0.311599:0.887325:0.265044:0.887325:0.000000:0.000000:0.000000:0.000000:0.000000 e):@0.386180:0.907268:0.404591:0.907268:0.404591:0.886111:0.386180:0.886111:0.000000:0.000000 0,1 + :@0.404591:0.907268:0.468666:0.907268:0.468666:0.887325:0.404591:0.887325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 = 1 :@0.531407:0.907268:0.584670:0.907268:0.584670:0.887325:0.531407:0.887325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f):@0.665935:0.907268:0.681860:0.907268:0.681860:0.886111:0.665935:0.886111:0.000000:0.000000 0,25 + :@0.681860:0.907268:0.755129:0.907268:0.755129:0.887325:0.681860:0.887325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 = 1:@0.821223:0.907268:0.871015:0.907268:0.871015:0.887325:0.821223:0.887325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 g):@0.120109:0.936629:0.139880:0.936629:0.139880:0.915471:0.120109:0.915471:0.000000:0.000000 0,5 + :@0.139880:0.936629:0.202313:0.936629:0.202313:0.916685:0.139880:0.916685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 = 1 :@0.265044:0.936627:0.311599:0.936627:0.311599:0.916684:0.265044:0.916684:0.000000:0.000000:0.000000:0.000000:0.000000 h):@0.386180:0.936627:0.405858:0.936627:0.405858:0.915469:0.386180:0.915469:0.000000:0.000000 0,9 + :@0.405858:0.936627:0.468666:0.936627:0.468666:0.916684:0.405858:0.916684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 = 1 :@0.531407:0.936627:0.584670:0.936627:0.584670:0.916684:0.531407:0.916684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 i):@0.665935:0.936627:0.678084:0.936627:0.678084:0.915469:0.665935:0.915469:0.000000:0.000000 0,82 + :@0.678084:0.936627:0.755129:0.936627:0.755129:0.916684:0.678084:0.916684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 = 1:@0.821223:0.936627:0.871015:0.936627:0.871015:0.916684:0.821223:0.916684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 0,6:@0.222513:0.905790:0.245631:0.905790:0.245631:0.888696:0.222513:0.888696:0.000000:0.000000:0.000000 0,5:@0.222513:0.934713:0.245631:0.934713:0.245631:0.917618:0.222513:0.917618:0.000000:0.000000:0.000000 0,7:@0.488615:0.875947:0.511733:0.875947:0.511733:0.858852:0.488615:0.858852:0.000000:0.000000:0.000000 0,9:@0.488615:0.904869:0.511733:0.904869:0.511733:0.887775:0.488615:0.887775:0.000000:0.000000:0.000000 0,1:@0.488615:0.933792:0.511733:0.933792:0.511733:0.916698:0.488615:0.916698:0.000000:0.000000:0.000000 0,27:@0.776608:0.875962:0.809537:0.875962:0.809537:0.858867:0.776608:0.858867:0.000000:0.000000:0.000000:0.000000 0,75:@0.776608:0.904885:0.809537:0.904885:0.809537:0.887790:0.776608:0.887790:0.000000:0.000000:0.000000:0.000000 0,18:@0.776608:0.933808:0.809537:0.933808:0.809537:0.916713:0.776608:0.916713:0.000000:0.000000:0.000000:0.000000 4:@0.245953:0.441106:0.255763:0.441106:0.255763:0.424012:0.245953:0.424012:0.000000 5 7:@0.245953:0.476306:0.351292:0.476306:0.351292:0.459212:0.245953:0.459212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.245953:0.511505:0.250355:0.511505:0.250355:0.494411:0.245953:0.494411:0.000000 6:@0.306261:0.511505:0.351292:0.511505:0.351292:0.494411:0.306261:0.494411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 18:@0.663831:0.441091:0.727477:0.441091:0.727477:0.423997:0.663831:0.423997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 14 :@0.663831:0.476291:0.687854:0.476291:0.687854:0.459196:0.663831:0.459196:0.000000:0.000000:0.000000 6:@0.724140:0.476291:0.769170:0.476291:0.769170:0.459196:0.724140:0.459196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.663831:0.511490:0.722069:0.511490:0.722069:0.494396:0.663831:0.494396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1,5:@0.394774:0.701881:0.417893:0.701881:0.417893:0.684786:0.394774:0.684786:0.000000:0.000000:0.000000 2:@0.401428:0.795635:0.411239:0.795635:0.411239:0.778541:0.401428:0.778541:0.000000 1,3:@0.502405:0.701881:0.525524:0.701881:0.525524:0.684786:0.502405:0.684786:0.000000:0.000000:0.000000 1,5:@0.502405:0.795635:0.525524:0.795635:0.525524:0.778541:0.502405:0.778541:0.000000:0.000000:0.000000 1,1:@0.611785:0.701881:0.634903:0.701881:0.634903:0.684786:0.611785:0.684786:0.000000:0.000000:0.000000 1:@0.618439:0.795635:0.628249:0.795635:0.628249:0.778541:0.618439:0.778541:0.000000 0,9:@0.723617:0.701881:0.746736:0.701881:0.746736:0.684786:0.723617:0.684786:0.000000:0.000000:0.000000 0,5:@0.723617:0.795635:0.746736:0.795635:0.746736:0.778541:0.723617:0.778541:0.000000:0.000000:0.000000 ©:@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