﻿82:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
1. :@0.115354:0.732587:0.134095:0.732587:0.134095:0.715451:0.115354:0.715451:0.000000:0.000000:0.000000
Resuelve :@0.148597:0.732587:0.220666:0.732587:0.220666:0.715963:0.148597:0.715963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las siguientes ecuaciones lineales con :@0.219009:0.732587:0.491532:0.732587:0.491532:0.716198:0.219009:0.716198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos incógnitas, :@0.148597:0.749183:0.262978:0.749183:0.262978:0.732794:0.148597:0.732794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
da :@0.263291:0.749183:0.286473:0.749183:0.286473:0.732559:0.263291:0.732559:0.000000:0.000000:0.000000
al menos cuatro respuestas :@0.286768:0.749183:0.491554:0.749183:0.491554:0.732794:0.286768:0.732794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.487500:0.749183:0.491536:0.749183:0.491536:0.732794:0.487500:0.732794:0.000000
particulares para cada caso y:@0.148597:0.765779:0.358744:0.765779:0.358744:0.749390:0.148597:0.749390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 realiza:@0.358744:0.765779:0.412037:0.765779:0.412037:0.749155:0.358744:0.749155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el gráfico.:@0.412037:0.765779:0.486446:0.765779:0.486446:0.749390:0.412037:0.749390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.148597:0.789498:0.167320:0.789498:0.167320:0.772598:0.148597:0.772598:0.000000:0.000000:0.000000
3x + y = 3:@0.181841:0.789498:0.253948:0.789498:0.253948:0.773109:0.181841:0.773109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Taller:@0.175844:0.685052:0.236739:0.685052:0.236739:0.651105:0.175844:0.651105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I.M.5.8.1. Utiliza métodos gráficos y analíticos para la resolución de sistemas de ecuaciones lineales y de inecuaciones, para determinar :@0.256865:0.667798:0.877554:0.667798:0.877554:0.657369:0.256865:0.657369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el conjunto de soluciones factibles y la solución óptima de un problema de programación lineal. (I.3.):@0.256865:0.678359:0.726477:0.678359:0.726477:0.667930:0.256865:0.667930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.115354:0.266499:0.272476:0.266499:0.272476:0.248062:0.115354:0.248062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea la ecuación lineal con dos incógnitas 3x + 2y = 12,:@0.115354:0.286344:0.505228:0.286344:0.505228:0.269955:0.115354:0.269955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 despejamos :@0.505228:0.286344:0.605234:0.286344:0.605234:0.269720:0.505228:0.269720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la variable; y 2  = 12 – 3 ;  2  = 3(4 –  ).:@0.604645:0.286344:0.879696:0.286344:0.879696:0.269955:0.604645:0.269955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.705002:0.286344:0.712483:0.286344:0.712483:0.269983:0.705002:0.269983:0.000000
x:@0.773368:0.286344:0.780831:0.286344:0.780831:0.269983:0.773368:0.269983:0.000000
y:@0.799885:0.286344:0.807367:0.286344:0.807367:0.269983:0.799885:0.269983:0.000000
x:@0.864143:0.286344:0.871606:0.286344:0.871606:0.269983:0.864143:0.269983:0.000000
De esta igualdad se deduce que 3(4 –  ) debe ser múltiplo de 2. Esto es posible si (4 –  ) es múltiplo de 2.:@0.115354:0.310063:0.879806:0.310063:0.879806:0.293674:0.115354:0.293674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.395067:0.310063:0.402530:0.310063:0.402530:0.293702:0.395067:0.293702:0.000000
x:@0.742281:0.310063:0.749744:0.310063:0.749744:0.293702:0.742281:0.293702:0.000000
Cambiamos:@0.115354:0.333782:0.206626:0.333782:0.206626:0.317158:0.115354:0.317158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   por   y :@0.206626:0.333782:0.271436:0.333782:0.271436:0.317393:0.206626:0.317393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.210662:0.333782:0.218143:0.333782:0.218143:0.317421:0.210662:0.317421:0.000000
j:@0.251626:0.333782:0.255257:0.333782:0.255257:0.317421:0.251626:0.317421:0.000000
tenemos:@0.271436:0.333782:0.338900:0.333782:0.338900:0.317158:0.271436:0.317158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.338900:0.333782:0.342106:0.333782:0.342106:0.317393:0.338900:0.317393:0.000000
Ecuación lineal con dos incógnitas. Soluciones enteras:@0.115891:0.141978:0.873568:0.141978:0.873568:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Consideramos ecuaciones lineales con dos incógnitas de la forma::@0.115209:0.167757:0.599058:0.167757:0.599058:0.151368:0.115209:0.151368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax:@0.457981:0.191476:0.474714:0.191476:0.474714:0.175114:0.457981:0.175114:0.000000:0.000000
 +   = :@0.474714:0.191476:0.529462:0.191476:0.529462:0.175087:0.474714:0.175087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
by:@0.493768:0.191476:0.510408:0.191476:0.510408:0.175114:0.493768:0.175114:0.000000:0.000000
c:@0.529462:0.191476:0.537128:0.191476:0.537128:0.175114:0.529462:0.175114:0.000000
Donde :@0.115209:0.215195:0.169921:0.215195:0.169921:0.198806:0.115209:0.198806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a, b   :@0.169828:0.215195:0.214644:0.215195:0.214644:0.198833:0.169828:0.198833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.198189:0.215872:0.211327:0.215872:0.211327:0.200299:0.198189:0.200299:0.000000
R:@0.214589:0.214337:0.227894:0.214337:0.227894:0.201475:0.214589:0.201475:0.000000
, tales que, | | + | | > 0 y :@0.227710:0.215195:0.405241:0.215195:0.405241:0.198806:0.227710:0.198806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.312163:0.215195:0.321433:0.215195:0.321433:0.198833:0.312163:0.198833:0.000000
b:@0.348116:0.215195:0.357385:0.215195:0.357385:0.198833:0.348116:0.198833:0.000000
x, y  :@0.405149:0.215195:0.447146:0.215195:0.447146:0.198833:0.405149:0.198833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.426673:0.215195:0.430708:0.215195:0.430708:0.198806:0.426673:0.198806:0.000000
∈:@0.430690:0.215872:0.443829:0.215872:0.443829:0.200299:0.430690:0.200299:0.000000
R:@0.447072:0.214337:0.460377:0.214337:0.460377:0.201475:0.447072:0.201475:0.000000
 denotan las incógnitas. Nos interesamos ahora en la bús-:@0.460193:0.215195:0.879827:0.215195:0.879827:0.198806:0.460193:0.198806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
queda de soluciones enteras positivas cuando :@0.115209:0.231791:0.454922:0.231791:0.454922:0.215402:0.115209:0.215402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a, b  :@0.454443:0.231791:0.499241:0.231791:0.499241:0.215430:0.454443:0.215430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.479247:0.231791:0.483283:0.231791:0.483283:0.215402:0.479247:0.215402:0.000000
∈:@0.482785:0.232469:0.495924:0.232469:0.495924:0.216896:0.482785:0.216896:0.000000
Z:@0.498854:0.230934:0.511145:0.230934:0.511145:0.218071:0.498854:0.218071:0.000000
, es decir, en hallar :@0.510961:0.231791:0.645759:0.231791:0.645759:0.215402:0.510961:0.215402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m, n  :@0.645280:0.231791:0.695679:0.231791:0.695679:0.215430:0.645280:0.215430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.675685:0.231791:0.679721:0.231791:0.679721:0.215402:0.675685:0.215402:0.000000
∈:@0.679224:0.232469:0.692362:0.232469:0.692362:0.216896:0.679224:0.216896:0.000000
Z:@0.695292:0.230934:0.707584:0.230934:0.707584:0.218071:0.695292:0.218071:0.000000
+:@0.707391:0.225755:0.713794:0.225755:0.713794:0.216200:0.707391:0.216200:0.000000
, tales que :@0.713795:0.231802:0.790639:0.231802:0.790639:0.215413:0.713795:0.215413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
am bn c:@0.790159:0.231802:0.876696:0.231802:0.876696:0.215441:0.790159:0.215441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 +   =  .:@0.814060:0.231802:0.879902:0.231802:0.879902:0.215413:0.814060:0.215413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.2.24. Aplicar la divisibilidad de números enteros, el cálculo del máximo común divisor y del mínimo común múltiplo de un conjunto de números enteros, y la :@0.125388:0.069719:0.877616:0.069719:0.877616:0.059289:0.125388:0.059289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resolución de ecuaciones lineales con dos incógnitas (con soluciones enteras no negativas) en la solución de problemas.:@0.125388:0.080280:0.686340:0.080280:0.686340:0.069851:0.125388:0.069851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.054033:0.122645:0.076478:0.122645:0.076478:0.065614:0.054033:0.065614:0.000000
j:@0.180937:0.866786:0.185192:0.866786:0.185192:0.851422:0.180937:0.851422:0.000000
–1:@0.234846:0.866786:0.251397:0.866786:0.251397:0.851887:0.234846:0.851887:0.000000:0.000000
0:@0.307317:0.866786:0.315492:0.866786:0.315492:0.851887:0.307317:0.851887:0.000000
1:@0.375600:0.866786:0.383775:0.866786:0.383775:0.851887:0.375600:0.851887:0.000000
2:@0.443882:0.866786:0.452058:0.866786:0.452058:0.851887:0.443882:0.851887:0.000000
x:@0.179111:0.888198:0.187018:0.888198:0.187018:0.872833:0.179111:0.872833:0.000000
y:@0.179111:0.909609:0.187018:0.909609:0.187018:0.894245:0.179111:0.894245:0.000000
4 – :@0.115354:0.358182:0.141632:0.358182:0.141632:0.341794:0.115354:0.341794:0.000000:0.000000:0.000000:0.000000
x =  j, :@0.141632:0.358182:0.185803:0.358182:0.185803:0.341821:0.141632:0.341821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2          ;  :@0.166712:0.358182:0.263494:0.358182:0.263494:0.341794:0.166712:0.341794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀ ∈:@0.201945:0.358860:0.235889:0.358860:0.235889:0.343287:0.201945:0.343287:0.000000:0.000000:0.000000
j:@0.215084:0.358182:0.218715:0.358182:0.218715:0.341821:0.215084:0.341821:0.000000
Z:@0.239925:0.357325:0.252216:0.357325:0.252216:0.344463:0.239925:0.344463:0.000000
despejamos:@0.263494:0.358182:0.356277:0.358182:0.356277:0.341558:0.263494:0.341558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     = 4 – 2:@0.356277:0.358182:0.442039:0.358182:0.442039:0.341794:0.356277:0.341794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  x:@0.360313:0.358182:0.387714:0.358182:0.387714:0.341821:0.360313:0.341821:0.000000:0.000000:0.000000:0.000000
::@0.371811:0.358860:0.376934:0.358860:0.376934:0.343287:0.371811:0.343287:0.000000
j:@0.442039:0.358182:0.445669:0.358182:0.445669:0.341821:0.442039:0.341821:0.000000
Reemplazamos:@0.115354:0.381901:0.232443:0.381901:0.232443:0.365277:0.115354:0.365277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en la ecuación: 2  = 3(4 –  ) y :@0.232443:0.381901:0.465258:0.381901:0.465258:0.365512:0.232443:0.365512:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.363869:0.381901:0.371351:0.381901:0.371351:0.365540:0.363869:0.365540:0.000000
x:@0.435497:0.381901:0.442961:0.381901:0.442961:0.365540:0.435497:0.365540:0.000000
te-:@0.466493:0.381901:0.487850:0.381901:0.487850:0.365277:0.466493:0.365277:0.000000:0.000000:0.000000
nemos:@0.115354:0.398498:0.167596:0.398498:0.167596:0.381874:0.115354:0.381874:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.167596:0.398498:0.170803:0.398498:0.170803:0.382109:0.167596:0.382109:0.000000
2  = 3(4 – 4 + 2 ):   = 3 .:@0.115354:0.422217:0.286197:0.422217:0.286197:0.405828:0.115354:0.405828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.124347:0.422217:0.131828:0.422217:0.131828:0.405856:0.124347:0.405856:0.000000
j y:@0.228076:0.422217:0.251313:0.422217:0.251313:0.405856:0.228076:0.405856:0.000000:0.000000:0.000000
j:@0.279360:0.422217:0.282990:0.422217:0.282990:0.405856:0.279360:0.405856:0.000000
Las soluciones enteras están representadas en el :@0.115354:0.445936:0.491886:0.445936:0.491886:0.429547:0.115354:0.429547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto solución::@0.115354:0.462532:0.251608:0.462532:0.251608:0.446143:0.115354:0.446143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.115354:0.486251:0.123425:0.486251:0.123425:0.469890:0.115354:0.469890:0.000000
 = :@0.123425:0.486251:0.142479:0.486251:0.142479:0.469862:0.123425:0.469862:0.000000:0.000000:0.000000
{(:@0.142479:0.486929:0.157461:0.486929:0.157461:0.471356:0.142479:0.471356:0.000000:0.000000
x y x, y:@0.157461:0.486251:0.219360:0.486251:0.219360:0.469890:0.157461:0.469890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,   | :@0.164924:0.486251:0.197762:0.486251:0.197762:0.469862:0.164924:0.469862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.179648:0.486929:0.185784:0.486929:0.185784:0.471356:0.179648:0.471356:0.000000
 :@0.219360:0.486251:0.223395:0.486251:0.223395:0.469862:0.219360:0.469862:0.000000
∈  }   :@0.223395:0.486929:0.274698:0.486929:0.274698:0.471356:0.223395:0.471356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Z:@0.241141:0.485394:0.253432:0.485394:0.253432:0.472531:0.241141:0.472531:0.000000
;  =  4 – 2 , 3  |   :@0.262278:0.486251:0.401351:0.486251:0.401351:0.469862:0.262278:0.469862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.274698:0.486251:0.282769:0.486251:0.282769:0.469890:0.274698:0.469890:0.000000
{(:@0.301823:0.486929:0.316805:0.486929:0.316805:0.471356:0.301823:0.471356:0.000000:0.000000
j j j:@0.352075:0.486251:0.397315:0.486251:0.397315:0.469890:0.352075:0.469890:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.375571:0.486929:0.381707:0.486929:0.381707:0.471356:0.375571:0.471356:0.000000
∈  }:@0.401351:0.486929:0.440233:0.486929:0.440233:0.471356:0.401351:0.471356:0.000000:0.000000:0.000000:0.000000
Z:@0.419097:0.485394:0.431388:0.485394:0.431388:0.472531:0.419097:0.472531:0.000000
j:@0.130056:0.515151:0.134312:0.515151:0.134312:0.499787:0.130056:0.499787:0.000000
–2:@0.174467:0.515151:0.191018:0.515151:0.191018:0.500252:0.174467:0.500252:0.000000:0.000000
–1:@0.242750:0.515151:0.259301:0.515151:0.259301:0.500252:0.242750:0.500252:0.000000:0.000000
0:@0.315221:0.515151:0.323396:0.515151:0.323396:0.500252:0.315221:0.500252:0.000000
1:@0.383503:0.515151:0.391679:0.515151:0.391679:0.500252:0.383503:0.500252:0.000000
2:@0.451786:0.515151:0.459961:0.515151:0.459961:0.500252:0.451786:0.500252:0.000000
x:@0.128230:0.536563:0.136138:0.536563:0.136138:0.521199:0.128230:0.521199:0.000000
8:@0.178655:0.536563:0.186830:0.536563:0.186830:0.521664:0.178655:0.521664:0.000000
7:@0.246938:0.536563:0.255113:0.536563:0.255113:0.521664:0.246938:0.521664:0.000000
4:@0.315221:0.536563:0.323396:0.536563:0.323396:0.521664:0.315221:0.521664:0.000000
2:@0.383503:0.536563:0.391679:0.536563:0.391679:0.521664:0.383503:0.521664:0.000000
0:@0.451786:0.536563:0.459961:0.536563:0.459961:0.521664:0.451786:0.521664:0.000000
y:@0.128230:0.557975:0.136138:0.557975:0.136138:0.542611:0.128230:0.542611:0.000000
–6:@0.174467:0.557975:0.191018:0.557975:0.191018:0.543076:0.174467:0.543076:0.000000:0.000000
–3:@0.242750:0.557975:0.259301:0.557975:0.259301:0.543076:0.242750:0.543076:0.000000:0.000000
0:@0.315221:0.557975:0.323396:0.557975:0.323396:0.543076:0.315221:0.543076:0.000000
3:@0.383503:0.557975:0.391679:0.557975:0.391679:0.543076:0.383503:0.543076:0.000000
6:@0.451786:0.557975:0.459961:0.557975:0.459961:0.543076:0.451786:0.543076:0.000000
Si se solicita solo las soluciones enteras positivas, :@0.115354:0.588320:0.491866:0.588320:0.491866:0.571931:0.115354:0.571931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
corresponde a C(4, 0) D(2,3) y E(0, 6).:@0.115354:0.604916:0.380620:0.604916:0.380620:0.588528:0.115354:0.588528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.599887:0.503591:0.606763:0.503591:0.606763:0.491500:0.599887:0.491500:0.000000
8:@0.589930:0.355782:0.596805:0.355782:0.596805:0.343692:0.589930:0.343692:0.000000
6:@0.589930:0.390122:0.596805:0.390122:0.596805:0.378031:0.589930:0.378031:0.000000
4:@0.589930:0.424944:0.596805:0.424944:0.596805:0.412854:0.589930:0.412854:0.000000
2:@0.589930:0.458911:0.596805:0.458911:0.596805:0.446821:0.589930:0.446821:0.000000
–2:@0.583229:0.528807:0.596805:0.528807:0.596805:0.516717:0.583229:0.516717:0.000000:0.000000
–2:@0.556251:0.505984:0.569827:0.505984:0.569827:0.493894:0.556251:0.493894:0.000000:0.000000
–4:@0.583229:0.563217:0.596805:0.563217:0.596805:0.551127:0.583229:0.551127:0.000000:0.000000
–4:@0.509518:0.505984:0.523094:0.505984:0.523094:0.493894:0.509518:0.493894:0.000000:0.000000
–6:@0.463308:0.505984:0.476885:0.505984:0.476885:0.493894:0.463308:0.493894:0.000000:0.000000
–6:@0.583229:0.597767:0.596805:0.597767:0.596805:0.585677:0.583229:0.585677:0.000000:0.000000
–10:@0.576354:0.667764:0.596805:0.667764:0.596805:0.655674:0.576354:0.655674:0.000000:0.000000:0.000000
–8:@0.583229:0.633766:0.596805:0.633766:0.596805:0.621676:0.583229:0.621676:0.000000:0.000000
–8:@0.417130:0.505979:0.430707:0.505979:0.430707:0.493889:0.417130:0.493889:0.000000:0.000000
–10:@0.367530:0.505979:0.387981:0.505979:0.387981:0.493889:0.367530:0.493889:0.000000:0.000000:0.000000
–12:@0.321280:0.505979:0.341731:0.505979:0.341731:0.493889:0.321280:0.493889:0.000000:0.000000:0.000000
–14:@0.275807:0.505979:0.296259:0.505979:0.296259:0.493889:0.275807:0.493889:0.000000:0.000000:0.000000
10:@0.834011:0.505981:0.847761:0.505981:0.847761:0.493890:0.834011:0.493890:0.000000:0.000000
8:@0.791982:0.505981:0.798857:0.505981:0.798857:0.493890:0.791982:0.493890:0.000000
6:@0.745370:0.505981:0.752245:0.505981:0.752245:0.493890:0.745370:0.493890:0.000000
4:@0.698678:0.505981:0.705553:0.505981:0.705553:0.493890:0.698678:0.493890:0.000000
2:@0.652013:0.505981:0.658888:0.505981:0.658888:0.493890:0.652013:0.493890:0.000000
10:@0.583046:0.320574:0.596797:0.320574:0.596797:0.308484:0.583046:0.308484:0.000000:0.000000
12:@0.583060:0.286204:0.596810:0.286204:0.596810:0.274114:0.583060:0.274114:0.000000:0.000000
E = (0, 6):@0.618479:0.385158:0.681115:0.385158:0.681115:0.368769:0.618479:0.368769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D = (2, 3):@0.661987:0.439068:0.727958:0.439068:0.727958:0.422679:0.661987:0.422679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C = (4, 0):@0.704002:0.485275:0.768554:0.485275:0.768554:0.468887:0.704002:0.468887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B = (6, –3):@0.754991:0.542782:0.827559:0.542782:0.827559:0.526393:0.754991:0.526393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A = (8, –6):@0.802258:0.594936:0.876300:0.594936:0.876300:0.578547:0.802258:0.578547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
14:@0.583055:0.251766:0.596805:0.251766:0.596805:0.239676:0.583055:0.239676:0.000000:0.000000
16 :@0.580213:0.215897:0.596805:0.215897:0.596805:0.203807:0.580213:0.203807:0.000000:0.000000:0.000000
20 :@0.580213:0.145187:0.596805:0.145187:0.596805:0.133097:0.580213:0.133097:0.000000:0.000000:0.000000
18 :@0.580213:0.181196:0.596805:0.181196:0.596805:0.169106:0.580213:0.169106:0.000000:0.000000:0.000000
12:@0.880564:0.505992:0.894314:0.505992:0.894314:0.493902:0.880564:0.493902:0.000000:0.000000
14:@0.925795:0.505992:0.939546:0.505992:0.939546:0.493902:0.925795:0.493902:0.000000:0.000000
16:@0.973774:0.505992:0.987524:0.505992:0.987524:0.493902:0.973774:0.493902:0.000000:0.000000
y:@0.619759:0.346038:0.626561:0.346038:0.626561:0.331164:0.619759:0.331164:0.000000
x:@0.864527:0.484061:0.871311:0.484061:0.871311:0.469187:0.864527:0.469187:0.000000
0:@0.603792:0.851279:0.609889:0.851279:0.609889:0.840557:0.603792:0.840557:0.000000
8:@0.594962:0.720202:0.601059:0.720202:0.601059:0.709480:0.594962:0.709480:0.000000
6:@0.594962:0.750653:0.601059:0.750653:0.601059:0.739932:0.594962:0.739932:0.000000
4:@0.594962:0.781534:0.601059:0.781534:0.601059:0.770812:0.594962:0.770812:0.000000
2:@0.594962:0.811656:0.601059:0.811656:0.601059:0.800934:0.594962:0.800934:0.000000
–2:@0.589020:0.873640:0.601059:0.873640:0.601059:0.862918:0.589020:0.862918:0.000000:0.000000
–2:@0.565096:0.853401:0.577135:0.853401:0.577135:0.842679:0.565096:0.842679:0.000000:0.000000
–4:@0.589020:0.904154:0.601059:0.904154:0.601059:0.893433:0.589020:0.893433:0.000000:0.000000
–4:@0.523653:0.853401:0.535693:0.853401:0.535693:0.842679:0.523653:0.842679:0.000000:0.000000
–6:@0.482673:0.853401:0.494712:0.853401:0.494712:0.842680:0.482673:0.842680:0.000000:0.000000
–6:@0.589018:0.934794:0.601057:0.934794:0.601057:0.924073:0.589018:0.924073:0.000000:0.000000
–10:@0.582921:0.996867:0.601057:0.996867:0.601057:0.986146:0.582921:0.986146:0.000000:0.000000:0.000000
–8:@0.589018:0.966718:0.601057:0.966718:0.601057:0.955997:0.589018:0.955997:0.000000:0.000000
–8:@0.441721:0.853396:0.453761:0.853396:0.453761:0.842675:0.441721:0.842675:0.000000:0.000000
–10:@0.397736:0.853396:0.415872:0.853396:0.415872:0.842675:0.397736:0.842675:0.000000:0.000000:0.000000
–12:@0.356721:0.853396:0.374857:0.853396:0.374857:0.842675:0.356721:0.842675:0.000000:0.000000:0.000000
–14:@0.316396:0.853396:0.334532:0.853396:0.334532:0.842675:0.316396:0.842675:0.000000:0.000000:0.000000
10:@0.811413:0.853398:0.823607:0.853398:0.823607:0.842676:0.811413:0.842676:0.000000:0.000000
8:@0.774143:0.853398:0.780239:0.853398:0.780239:0.842676:0.774143:0.842676:0.000000
6:@0.732807:0.853398:0.738904:0.853398:0.738904:0.842676:0.732807:0.842676:0.000000
4:@0.691400:0.853398:0.697497:0.853398:0.697497:0.842676:0.691400:0.842676:0.000000
2:@0.650017:0.853398:0.656114:0.853398:0.656114:0.842676:0.650017:0.842676:0.000000
10:@0.588856:0.688978:0.601050:0.688978:0.601050:0.678256:0.588856:0.678256:0.000000:0.000000
12:@0.588868:0.658499:0.601062:0.658499:0.601062:0.647777:0.588868:0.647777:0.000000:0.000000
14:@0.588868:0.627957:0.601062:0.627957:0.601062:0.617236:0.588868:0.617236:0.000000:0.000000
16 :@0.586348:0.596150:0.601062:0.596150:0.601062:0.585428:0.586348:0.585428:0.000000:0.000000:0.000000
20 :@0.586348:0.533443:0.601062:0.533443:0.601062:0.522722:0.586348:0.522722:0.000000:0.000000:0.000000
18 :@0.586348:0.565376:0.601062:0.565376:0.601062:0.554655:0.586348:0.554655:0.000000:0.000000:0.000000
12:@0.852698:0.853396:0.864892:0.853396:0.864892:0.842675:0.852698:0.842675:0.000000:0.000000
14:@0.892808:0.853396:0.905002:0.853396:0.905002:0.842675:0.892808:0.842675:0.000000:0.000000
18:@0.974350:0.853396:0.986544:0.853396:0.986544:0.842675:0.974350:0.842675:0.000000:0.000000
16:@0.935356:0.853396:0.947550:0.853396:0.947550:0.842675:0.935356:0.842675:0.000000:0.000000
y:@0.621888:0.734647:0.628690:0.734647:0.628690:0.719773:0.621888:0.719773:0.000000
x:@0.857826:0.833205:0.864610:0.833205:0.864610:0.818331:0.857826:0.818331:0.000000
S:@0.185668:0.821055:0.193739:0.821055:0.193739:0.804694:0.185668:0.804694:0.000000
 = 1 –  , 3:@0.193739:0.821055:0.270681:0.821055:0.270681:0.804666:0.193739:0.804666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.208757:0.820741:0.212426:0.820741:0.212426:0.805842:0.208757:0.805842:0.000000
{(:@0.211756:0.821357:0.224706:0.821357:0.224706:0.807200:0.211756:0.807200:0.000000:0.000000
j j  j:@0.250816:0.821055:0.297054:0.821055:0.297054:0.804694:0.250816:0.804694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.274310:0.821357:0.279888:0.821357:0.279888:0.807200:0.274310:0.807200:0.000000
 | :@0.279721:0.820741:0.290275:0.820741:0.290275:0.805842:0.279721:0.805842:0.000000:0.000000:0.000000
 :@0.297054:0.821055:0.301090:0.821055:0.301090:0.804666:0.297054:0.804666:0.000000
∈ :@0.301090:0.821733:0.318836:0.821733:0.318836:0.806160:0.301090:0.806160:0.000000:0.000000
Z:@0.318836:0.820198:0.331127:0.820198:0.331127:0.807336:0.318836:0.807336:0.000000
}:@0.330939:0.821357:0.338981:0.821357:0.338981:0.807200:0.330939:0.807200:0.000000
2:@0.240141:0.887780:0.248317:0.887780:0.248317:0.872881:0.240141:0.872881:0.000000
–3:@0.235953:0.909997:0.252505:0.909997:0.252505:0.895098:0.235953:0.895098:0.000000:0.000000
1:@0.307419:0.887780:0.315594:0.887780:0.315594:0.872881:0.307419:0.872881:0.000000
0:@0.307419:0.909997:0.315594:0.909997:0.315594:0.895098:0.307419:0.895098:0.000000
0:@0.378047:0.887780:0.386222:0.887780:0.386222:0.872881:0.378047:0.872881:0.000000
3:@0.378047:0.909997:0.386222:0.909997:0.386222:0.895098:0.378047:0.895098:0.000000
–1:@0.439545:0.887780:0.456097:0.887780:0.456097:0.872881:0.439545:0.872881:0.000000:0.000000
6:@0.443733:0.909997:0.451908:0.909997:0.451908:0.895098:0.443733:0.895098:0.000000
(–1, 6):@0.546978:0.747453:0.584654:0.747453:0.584654:0.732554:0.546978:0.732554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(0, 3):@0.619298:0.795029:0.649017:0.795029:0.649017:0.780130:0.619298:0.780130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(1, 0):@0.636319:0.836759:0.666038:0.836759:0.666038:0.821860:0.636319:0.821860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(2, –3):@0.657578:0.886712:0.695254:0.886712:0.695254:0.871813:0.657578:0.871813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000