﻿69:@0.921900:0.510692:0.940807:0.510692:0.940807:0.494068:0.921900:0.494068:0.000000:0.000000
2. :@0.120102:0.100407:0.138843:0.100407:0.138843:0.083271:0.120102:0.083271:0.000000:0.000000:0.000000
Dados los conjuntos:   = {5, 10} y   = {3, 9, 12}.:@0.153346:0.100407:0.496855:0.100407:0.496855:0.084018:0.153346:0.084018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M:@0.309999:0.100407:0.323893:0.100407:0.323893:0.084046:0.309999:0.084046:0.000000
N:@0.403114:0.100407:0.414373:0.100407:0.414373:0.084046:0.403114:0.084046:0.000000
a) :@0.153217:0.125979:0.171939:0.125978:0.171939:0.109077:0.153217:0.109078:0.000000:0.000000:0.000000
Realiza:@0.186460:0.125978:0.239992:0.125978:0.239992:0.109354:0.186460:0.109354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 un diagrama sagital de   × :@0.239992:0.125978:0.444252:0.125978:0.444252:0.109589:0.239992:0.109589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M N.:@0.411939:0.125978:0.458212:0.125978:0.458212:0.109617:0.411939:0.109617:0.000000:0.000000:0.000000:0.000000
b) :@0.153218:0.263247:0.173249:0.263247:0.173249:0.246347:0.153218:0.246347:0.000000:0.000000:0.000000
Escribe:@0.186462:0.263247:0.241210:0.263247:0.241210:0.246623:0.186462:0.246623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los pares ordenados de   × :@0.241210:0.263247:0.448206:0.263247:0.448206:0.246858:0.241210:0.246858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M N.:@0.415958:0.263247:0.462100:0.263247:0.462100:0.246886:0.415958:0.246886:0.000000:0.000000:0.000000:0.000000
e) :@0.537863:0.263247:0.556733:0.263247:0.556733:0.246347:0.537863:0.246347:0.000000:0.000000:0.000000
Responde:@0.571107:0.263247:0.648079:0.263247:0.648079:0.246623:0.571107:0.246623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: ¿   ×   es lo mismo que   ×  ?::@0.648079:0.263247:0.886367:0.263247:0.886367:0.246858:0.648079:0.246858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M N:@0.664968:0.263247:0.707775:0.263247:0.707775:0.246886:0.664968:0.246886:0.000000:0.000000:0.000000
N M:@0.833332:0.263247:0.876139:0.263247:0.876139:0.246886:0.833332:0.246886:0.000000:0.000000:0.000000
d) :@0.537863:0.125978:0.557931:0.125978:0.557931:0.109077:0.537863:0.109077:0.000000:0.000000:0.000000
Escribe:@0.571107:0.125978:0.625855:0.125978:0.625855:0.109354:0.571107:0.109354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los pares ordenados de   × :@0.625855:0.125978:0.830109:0.125978:0.830109:0.109589:0.625855:0.109589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
N M.:@0.800514:0.125978:0.846620:0.125978:0.846620:0.109617:0.800514:0.109617:0.000000:0.000000:0.000000:0.000000
c) :@0.153218:0.400516:0.170854:0.400516:0.170854:0.383615:0.153218:0.383615:0.000000:0.000000:0.000000
Efectúa:@0.186462:0.400516:0.243532:0.400516:0.243532:0.383892:0.186462:0.383892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 un diagrama sagital de   × :@0.243532:0.400516:0.448963:0.400516:0.448963:0.384127:0.243532:0.384127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
N:@0.418650:0.400516:0.429909:0.400516:0.429909:0.384154:0.418650:0.384154:0.000000
M.:@0.448963:0.400516:0.466193:0.400516:0.466193:0.384154:0.448963:0.384154:0.000000:0.000000
f) :@0.537863:0.400516:0.554688:0.400516:0.554688:0.383615:0.537863:0.383615:0.000000:0.000000:0.000000
Realiza:@0.571107:0.400516:0.624639:0.400516:0.624639:0.383892:0.571107:0.383892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 un diagrama de árbol de   × :@0.624639:0.400516:0.846598:0.400516:0.846598:0.384127:0.624639:0.384127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M:@0.813650:0.400516:0.827544:0.400516:0.827544:0.384154:0.813650:0.384154:0.000000
N.:@0.846598:0.400516:0.861193:0.400516:0.861193:0.384154:0.846598:0.384154:0.000000:0.000000
3. :@0.120102:0.549420:0.138843:0.549420:0.138843:0.532285:0.120102:0.532285:0.000000:0.000000:0.000000
A partir de los conjuntos  = {1, 2, 3, 4} y   = {2, 4}:@0.153346:0.549420:0.514524:0.549420:0.514524:0.533031:0.153346:0.533031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C :@0.337047:0.549420:0.350278:0.549420:0.350278:0.533059:0.337047:0.533059:0.000000:0.000000
D:@0.448940:0.549420:0.460475:0.549420:0.460475:0.533059:0.448940:0.533059:0.000000
a) :@0.153217:0.576555:0.171939:0.576555:0.171939:0.559655:0.153217:0.559655:0.000000:0.000000:0.000000
Encuentra:@0.186460:0.576555:0.261516:0.576555:0.261516:0.559931:0.186460:0.559931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   ×   mediante un diagrama sagital.:@0.261147:0.576555:0.518581:0.576555:0.518581:0.560167:0.261147:0.560167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C D:@0.264814:0.576555:0.303844:0.576555:0.303844:0.560194:0.264814:0.560194:0.000000:0.000000:0.000000
c) :@0.537863:0.576557:0.555499:0.576557:0.555499:0.559656:0.537863:0.559656:0.000000:0.000000:0.000000
Realiza:@0.571107:0.576557:0.624639:0.576557:0.624639:0.559933:0.571107:0.559933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 un diagrama de árbol de   × :@0.624639:0.576557:0.842618:0.576557:0.842618:0.560168:0.624639:0.560168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.813650:0.576557:0.823564:0.576557:0.823564:0.560195:0.813650:0.560195:0.000000
D.:@0.842618:0.576557:0.856936:0.576557:0.856936:0.560195:0.842618:0.560195:0.000000:0.000000
b) :@0.153218:0.756593:0.173249:0.756593:0.173249:0.739693:0.153218:0.739693:0.000000:0.000000:0.000000
Representa:@0.186462:0.756593:0.272904:0.756593:0.272904:0.739969:0.186462:0.739969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   ×   en el plano cartesiano.:@0.272904:0.756593:0.476881:0.756593:0.476881:0.740205:0.272904:0.740205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C D:@0.275633:0.756593:0.313520:0.756593:0.313520:0.740232:0.275633:0.740232:0.000000:0.000000:0.000000
d) :@0.537863:0.756593:0.557931:0.756593:0.557931:0.739693:0.537863:0.739693:0.000000:0.000000:0.000000
Escribe:@0.571107:0.756593:0.625855:0.756593:0.625855:0.739969:0.571107:0.739969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los pares ordenados de  ×  ::@0.625855:0.756593:0.847098:0.756593:0.847098:0.740205:0.625855:0.740205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C  D:@0.804106:0.756593:0.843891:0.756593:0.843891:0.740232:0.804106:0.740232:0.000000:0.000000:0.000000:0.000000
 :@0.186700:0.288942:0.190001:0.288942:0.190001:0.275532:0.186700:0.275532:0.000000
5:@0.292774:0.182954:0.301767:0.182954:0.301767:0.166565:0.292774:0.166565:0.000000
10:@0.288278:0.216146:0.306263:0.216146:0.306263:0.199757:0.288278:0.199757:0.000000:0.000000
3:@0.382627:0.166357:0.391620:0.166357:0.391620:0.149968:0.382627:0.149968:0.000000
9:@0.382627:0.199550:0.391620:0.199550:0.391620:0.183161:0.382627:0.183161:0.000000
12:@0.378131:0.232743:0.396116:0.232743:0.396116:0.216354:0.378131:0.216354:0.000000:0.000000
M:@0.291000:0.146620:0.304894:0.146620:0.304894:0.130259:0.291000:0.130259:0.000000
N:@0.382162:0.146620:0.393421:0.146620:0.393421:0.130259:0.382162:0.130259:0.000000
3:@0.292774:0.440895:0.301767:0.440895:0.301767:0.424506:0.292774:0.424506:0.000000
9:@0.292774:0.474088:0.301767:0.474088:0.301767:0.457699:0.292774:0.457699:0.000000
12:@0.288278:0.507281:0.306263:0.507281:0.306263:0.490892:0.288278:0.490892:0.000000:0.000000
5:@0.382627:0.457492:0.391620:0.457492:0.391620:0.441103:0.382627:0.441103:0.000000
10:@0.378131:0.490684:0.396116:0.490684:0.396116:0.474295:0.378131:0.474295:0.000000:0.000000
N:@0.292317:0.421158:0.303576:0.421158:0.303576:0.404797:0.292317:0.404797:0.000000
M:@0.380843:0.421158:0.394738:0.421158:0.394738:0.404797:0.380843:0.404797:0.000000
1:@0.292759:0.621725:0.301752:0.621725:0.301752:0.605336:0.292759:0.605336:0.000000
2:@0.291930:0.654918:0.300922:0.654918:0.300922:0.638529:0.291930:0.638529:0.000000
3:@0.292759:0.688111:0.301752:0.688111:0.301752:0.671722:0.292759:0.671722:0.000000
4:@0.292759:0.721304:0.301752:0.721304:0.301752:0.704915:0.292759:0.704915:0.000000
2:@0.382627:0.654917:0.391620:0.654917:0.391620:0.638528:0.382627:0.638528:0.000000
4:@0.382627:0.688110:0.391620:0.688110:0.391620:0.671721:0.382627:0.671721:0.000000
C:@0.292990:0.602392:0.302904:0.602392:0.302904:0.586031:0.292990:0.586031:0.000000
D:@0.382033:0.602392:0.393568:0.602392:0.393568:0.586031:0.382033:0.586031:0.000000
=  (5, 3); (5, 9); (5, 12); (10, 3); (10, 9); (10, 12):@0.193868:0.292869:0.484453:0.292869:0.484453:0.276480:0.193868:0.276480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.207965:0.293547:0.216810:0.293547:0.216810:0.277974:0.207965:0.277974:0.000000
}:@0.483993:0.293547:0.492838:0.293547:0.492838:0.277974:0.483993:0.277974:0.000000
No, son diferentes:   ×   ≠   × :@0.575762:0.292717:0.808446:0.292717:0.808446:0.276328:0.575762:0.276328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M:@0.714871:0.292717:0.728765:0.292717:0.728765:0.276356:0.714871:0.276356:0.000000
N:@0.747819:0.292717:0.759079:0.292717:0.759079:0.276356:0.747819:0.276356:0.000000
N:@0.778133:0.292717:0.789392:0.292717:0.789392:0.276356:0.778133:0.276356:0.000000
M:@0.808446:0.292717:0.822341:0.292717:0.822341:0.276356:0.808446:0.276356:0.000000
=  (3, 5); (3, 10); (9, 5); (9, 10); (12, 5); (12, 10):@0.575136:0.154497:0.871710:0.154497:0.871710:0.138108:0.575136:0.138108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.590154:0.155175:0.599000:0.155175:0.599000:0.139602:0.590154:0.139602:0.000000
}:@0.871342:0.155175:0.880187:0.155175:0.880187:0.139602:0.871342:0.139602:0.000000
5:@0.638346:0.437382:0.647339:0.437382:0.647339:0.420993:0.638346:0.420993:0.000000
10:@0.633850:0.499245:0.651835:0.499245:0.651835:0.482856:0.633850:0.482856:0.000000:0.000000
3:@0.700144:0.419920:0.709137:0.419920:0.709137:0.403531:0.700144:0.403531:0.000000
9:@0.700144:0.436516:0.709137:0.436516:0.709137:0.420127:0.700144:0.420127:0.000000
12:@0.700144:0.453112:0.718129:0.453112:0.718129:0.436723:0.700144:0.436723:0.000000:0.000000
3:@0.700144:0.483470:0.709137:0.483470:0.709137:0.467081:0.700144:0.467081:0.000000
9:@0.700144:0.500066:0.709137:0.500066:0.709137:0.483677:0.700144:0.483677:0.000000
12:@0.700144:0.516663:0.718129:0.516663:0.718129:0.500274:0.700144:0.500274:0.000000:0.000000
=  (1, 2); (1, 4); (2, 2); (2, 4); (3, 2); (3, 4); :@0.577602:0.786833:0.854882:0.786833:0.854882:0.770444:0.577602:0.770444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.592620:0.787510:0.601465:0.787510:0.601465:0.771938:0.592620:0.771938:0.000000
(4, 2); (4, 4):@0.577602:0.806956:0.654832:0.806956:0.654832:0.790567:0.577602:0.790567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
}:@0.654832:0.807634:0.663677:0.807634:0.663677:0.792061:0.654832:0.792061:0.000000
1:@0.633515:0.614306:0.642507:0.614306:0.642507:0.597917:0.633515:0.597917:0.000000
2:@0.633515:0.647499:0.642507:0.647499:0.642507:0.631110:0.633515:0.631110:0.000000
3:@0.633515:0.680691:0.642507:0.680691:0.642507:0.664303:0.633515:0.664303:0.000000
4:@0.633515:0.713884:0.642507:0.713884:0.642507:0.697495:0.633515:0.697495:0.000000
2:@0.691880:0.602824:0.700873:0.602824:0.700873:0.586435:0.691880:0.586435:0.000000
4:@0.691880:0.625451:0.700873:0.625451:0.700873:0.609062:0.691880:0.609062:0.000000
2:@0.691880:0.636805:0.700873:0.636805:0.700873:0.620416:0.691880:0.620416:0.000000
4:@0.691880:0.659432:0.700873:0.659432:0.700873:0.643043:0.691880:0.643043:0.000000
2:@0.691880:0.670786:0.700873:0.670786:0.700873:0.654398:0.691880:0.654398:0.000000
4:@0.691880:0.693413:0.700873:0.693413:0.700873:0.677024:0.691880:0.677024:0.000000
2:@0.691880:0.704767:0.700873:0.704767:0.700873:0.688379:0.691880:0.688379:0.000000
4:@0.691880:0.727394:0.700873:0.727394:0.700873:0.711005:0.691880:0.711005:0.000000
1:@0.238972:0.910425:0.247147:0.910425:0.247147:0.895526:0.238972:0.895526:0.000000
1:@0.199051:0.876818:0.207226:0.876818:0.207226:0.861919:0.199051:0.861919:0.000000
3:@0.295846:0.910425:0.304022:0.910425:0.304022:0.895526:0.295846:0.895526:0.000000
3:@0.199051:0.834296:0.207226:0.834296:0.207226:0.819397:0.199051:0.819397:0.000000
5:@0.352721:0.910425:0.360896:0.910425:0.360896:0.895526:0.352721:0.895526:0.000000
5:@0.199051:0.790994:0.207226:0.790994:0.207226:0.776095:0.199051:0.776095:0.000000
D:@0.221952:0.774260:0.232790:0.774260:0.232790:0.759361:0.221952:0.759361:0.000000
C:@0.472400:0.896721:0.481949:0.896721:0.481949:0.881822:0.472400:0.881822:0.000000
7:@0.409595:0.910425:0.417770:0.910425:0.417770:0.895526:0.409595:0.895526:0.000000
2:@0.267418:0.910425:0.275593:0.910425:0.275593:0.895526:0.267418:0.895526:0.000000
2:@0.199068:0.852502:0.207243:0.852502:0.207243:0.837603:0.199068:0.837603:0.000000
4:@0.324292:0.910425:0.332467:0.910425:0.332467:0.895526:0.324292:0.895526:0.000000
4:@0.199068:0.814129:0.207243:0.814129:0.207243:0.799230:0.199068:0.799230:0.000000
6:@0.381166:0.910425:0.389342:0.910425:0.389342:0.895526:0.381166:0.895526:0.000000
0:@0.210329:0.910425:0.218504:0.910425:0.218504:0.895526:0.210329:0.895526:0.000000
 ©:@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 :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000