ÿþÿ
__@VERSION@__ÿþÿExteor 4.7.10.1200 - 05/28/2019ÿþÿ!@02=5=85 >B25B>2ÿþÿ1-2ÿþÿ$ÿþÿX1
ÿþÿÿþÿÿþÿ=>65AB2> @{X1|GENT|PLUR|0}ÿþÿ=>65AB2> >1J5:B>2
ÿþÿ1J5:BKÿþÿ1J5:BKÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿX2
ÿþÿÿþÿÿþÿ=>65AB2> >B25B>2ÿþÿ=>65AB2> >B25B>2
ÿþÿB25BKÿþÿB25BKÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿ
ÿþÿX3
ÿþÿÿþÿÿþÿ=>65AB2> 7=0G5=89 @0AAB>O=89ÿþÿ=>65AB2> 7=0G5=89 @0AAB>O=89
ÿþÿ=0G5=8O @0AAB>O=89ÿþÿ=0G5=8O @0AAB>O=89ÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿ9ÿþÿX4
ÿþÿÿþÿÿþÿ!=>65AB2> 7=0G5=89 DC=:F88 ?>B5@Lÿþÿ!=>65AB2> 7=0G5=89 DC=:F88 ?>B5@L
ÿþÿ=0G5=8O DC=:F88 ?>B5@Lÿþÿ=0G5=8O DC=:F88 ?>B5@LÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿS1ÿþÿÿþÿ,!(X1×X2)ÿþÿ=>65AB2> ?0@ >1J5:B 8 >B25B
ÿþÿ=>65AB2> ?0@ >1J5:B 8 >B25B

ÿþÿ725AB=K5 >B25BK =0 >1J5:B0Eÿþÿ725AB=K5 >B25BK =0 >1J5:B0EÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿS2ÿþÿÿþÿ,!(X2×X2×X3)ÿþÿ@=>65AB2> B@>5:: >48= >B25B, 4@C3>9 >B25B 8 @0AAB>=85 <564C =8<8ÿþÿ@=>65AB2> B@>5:: >48= >B25B, 4@C3>9 >B25B 8 @0AAB>=85 <564C =8<8
ÿþÿB=>H5=85 @07;8G8O >B25B>2ÿþÿB=>H5=85 @07;8G8O >B25B>2ÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿS3ÿþÿÿþÿ,!(X1×X2)ÿþÿ>;CG5==K5 >B25BK =0 >1J5:B0Eÿþÿ>;CG5==K5 >B25BK =0 >1J5:B0E
ÿþÿ 5H0NI0O DC=:F8Oÿþÿ 5H0NI0O DC=:F8OÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿS4ÿþÿÿþÿ,!(X3×X3)ÿþÿD=>65AB2> ?0@: >4=> 7=0G5=8O @0AAB>O=8O 8 4@C3>5 7=0G5=85 @0AAB>O=8OÿþÿD=>65AB2> ?0@: >4=> 7=0G5=8O @0AAB>O=8O 8 4@C3>5 7=0G5=85 @0AAB>O=8O
ÿþÿ>@O4>: =0 @0AAB>O=8OEÿþÿ>@O4>: =0 @0AAB>O=8OEÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿ'ÿþÿS5ÿþÿÿþÿ,!(,!(X1×X3)×X4)ÿþÿ,#A@54=5==>5 7=0G5=85 >H81:8 ?> 2A5< >1J5:B0<ÿþÿ,#A@54=5==>5 7=0G5=85 >H81:8 ?> 2A5< >1J5:B0<
ÿþÿ$C=:F8O ?>B5@Lÿþÿ$C=:F8O ?>B5@Lÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿ5ÿþÿS6ÿþÿÿþÿ,!(X4)ÿþÿ>4<=>65AB2> >1H8E >H81>:ÿþÿ>4<=>65AB2> >1H8E >H81>:
ÿþÿ"@8B5@89 ?@8=OB8O @5H0NI59 DC=:F88ÿþÿ"@8B5@89 ?@8=OB8O @5H0NI59 DC=:F88ÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿ:ÿþÿS7ÿþÿÿþÿ,!(X4×X4)ÿþÿL=>65AB2> ?0@: >4=> 7=0G5=85 DC=F:88 ?>B5@L 8 4@C3>5 7=0G5=85 DC=:F88 ?>B5@LÿþÿL=>65AB2> ?0@: >4=> 7=0G5=85 DC=F:88 ?>B5@L 8 4@C3>5 7=0G5=85 DC=:F88 ?>B5@L
ÿþÿ#>@O4>: =0 7=0G5=8OE DC=:F88 ?>B5@Lÿþÿ#>@O4>: =0 7=0G5=8OE DC=:F88 ?>B5@Lÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿ
ÿþÿA1ÿþÿÿþÿ
"¾"X3(¾,¾)"S4ÿþÿ 5D;5:A82=>ABLÿþÿ 5D;5:A82=>ABL
ÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿA2ÿþÿÿþÿ0"¾"X3"·"X3"¶"X3 ((¾,·)"S4 & (·,¶)"S4 Ò! (¾,¶)"S4)ÿþÿ"@0=78B82=>ABLÿþÿ"@0=78B82=>ABL
ÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿA3ÿþÿÿþÿ$"¾"X3"·"X3 ((¾,·)"S4 & (·,¾)"S4Ò!¾=·)ÿþÿ=B8A8<<5B@8G=>ABLÿþÿ=B8A8<<5B@8G=>ABL
ÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿA4ÿþÿÿþÿ#"¾,·"X2 "(¾1,·1,¶)"S2 (¾1=¾ & ·1=·)ÿþÿ8!CI5AB2>20=85 7=0G5=8O @0AAB>O=8O 4;O ;N1KE 42CE >B25B>2ÿþÿ8!CI5AB2>20=85 7=0G5=8O @0AAB>O=8O 4;O ;N1KE 42CE >B25B>2
ÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿA5ÿþÿÿþÿ0"¾,·"X2"¶,Ç"X3 (((¾,·,¶)"S2 & (¾,·,Ç)"S2) Ò! ¶=Ç)ÿþÿ948=AB25==>ABL 7=0G5=8O @0AAB>O=8O 4;O ;N1KE 42CE >B25B>2ÿþÿ948=AB25==>ABL 7=0G5=8O @0AAB>O=8O 4;O ;N1KE 42CE >B25B>2
ÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿA6ÿþÿÿþÿ"¾"X1"·"X2(¾,·)"S1ÿþÿ';O ;N1>3> >1J5:B0 5ABL 8725AB=K9 >B25Bÿþÿ';O ;N1>3> >1J5:B0 5ABL 8725AB=K9 >B25B
ÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿA7ÿþÿÿþÿ("¾"X1"¶,Ç"X2 (((¾,¶)"S1 & (¾,Ç)"S1)Ò!¶=Ç)ÿþÿ4;O ;N1>3> >1J5:B0 5ABL 548=AB25==K9 8725AB=K9 >B25Bÿþÿ4;O ;N1>3> >1J5:B0 5ABL 548=AB25==K9 8725AB=K9 >B25B
ÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿA8ÿþÿÿþÿ"¾"X1"·"X2(¾,·)"S3ÿþÿ(;O ;N1>3> >1J5:B0 5ABL ?>;CG5==K9 >B25Bÿþÿ(;O ;N1>3> >1J5:B0 5ABL ?>;CG5==K9 >B25B
ÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿA9ÿþÿÿþÿ("¾"X1"¶,Ç"X2 (((¾,¶)"S3 & (¾,Ç)"S3)Ò!¶=Ç)ÿþÿ5;O ;N1>3> >1J5:B0 5ABL 548=AB25==K9 ?>;CG5==K9 >B25Bÿþÿ5;O ;N1>3> >1J5:B0 5ABL 548=AB25==K9 ?>;CG5==K9 >B25B
ÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿ1ÿþÿA10ÿþÿÿþÿ"¾",!(X1×X3) "¶"X4(¾,¶)"S5ÿþÿC;O ;N1>3> =01>@0 >1J5:B>2 8 >H81>: =0 =8E 5ABL 7=0G5=85 @0AAB>O=8OÿþÿC;O ;N1>3> =01>@0 >1J5:B>2 8 >H81>: =0 =8E 5ABL 7=0G5=85 @0AAB>O=8O
ÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿ2ÿþÿA11ÿþÿÿþÿ/"¾",!(X1×X3)"¶, Ç"X4 (((¾,¶)"S5 & (¾,Ç)"S5)Ò!¶=Ç)ÿþÿP;O ;N1>3> =01>@0 >1J5:B>2 8 >H81>: =0 =8E 5ABL 548=AB25==>5 7=0G5=85 @0AAB>O=8OÿþÿP;O ;N1>3> =01>@0 >1J5:B>2 8 >H81>: =0 =8E 5ABL 548=AB25==>5 7=0G5=85 @0AAB>O=8O
ÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿ>ÿþÿA12ÿþÿÿþÿPr2(S5) = X4ÿþÿ":A8><0 > 7=0G5=8OE DC=:F88 ?>B5@Lÿþÿ":A8><0 > 7=0G5=8OE DC=:F88 ?>B5@L
ÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿ&ÿþÿD1ÿþÿÿþÿ6{¾"X1×X2×X2 | (pr1(¾),pr2(¾))"S1 & (pr1(¾),pr3(¾))"S3}ÿþÿ\B25B @5H0NI59 DC=:F88 =0 >1J5:B5 8 >B25B >1CG0NI59 2K1>@:8 =0 >1J5:B5 4;O 7040==>3> >1J5:B0ÿþÿ\B25B @5H0NI59 DC=:F88 =0 >1J5:B5 8 >B25B >1CG0NI59 2K1>@:8 =0 >1J5:B5 4;O 7040==>3> >1J5:B0
ÿþÿB=>H5=85 A@02=5=8O >B25B>2ÿþÿB=>H5=85 A@02=5=8O >B25B>2ÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿ(ÿþÿD2ÿþÿÿþÿY{¾"X1×X3 | "·"D1  "¶"S2  (pr1(¾)=pr1(·) & pr1(¶)=pr2(·) & pr2(¶)=pr3(·) & pr3(¶)=pr2(¾))}ÿþÿ$=>65AB2> ?0@ >1J5:B 8 >H81:0 =0 =Q<ÿþÿ$=>65AB2> ?0@ >1J5:B 8 >H81:0 =0 =Q<
ÿþÿ1J5:BK 8 >H81:8 =0 =8Eÿþÿ1J5:BK 8 >H81:8 =0 =8Eÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿ0ÿþÿD3ÿþÿÿþÿPr2(D2)ÿþÿ=>65AB2> >H81>: =0 >1J5:B0Eÿþÿ=>65AB2> >H81>: =0 >1J5:B0E
ÿþÿH81:8 =0 >1J5:B0EÿþÿH81:8 =0 >1J5:B0Eÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿ3ÿþÿD4ÿþÿÿþÿPr2({D2}×Pr2(S5))"S5)ÿþÿw=0G5=8O DC=:F88 ?>B5@L =0 >?5@54;5==>< =01>@5 >H81>: =0 >1J5:B0E, ?>;CG5==KE ?@8<5=5=85< >?@545;5==>9 @5H0NI59 DC=:F88ÿþÿw=0G5=8O DC=:F88 ?>B5@L =0 >?5@54;5==>< =01>@5 >H81>: =0 >1J5:B0E, ?>;CG5==KE ?@8<5=5=85< >?@545;5==>9 @5H0NI59 DC=:F88
ÿþÿ,=0G5=8O DC=:F88 ?>B5@L 4;O @5H0NI59 DC=:F88ÿþÿ,=0G5=8O DC=:F88 ?>B5@L 4;O @5H0NI59 DC=:F88ÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿ;ÿþÿA13ÿþÿÿþÿ
"¾"X4(¾,¾)"S7ÿþÿ 5D;5:A82=>ABLÿþÿ 5D;5:A82=>ABL
ÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿ<ÿþÿA14ÿþÿÿþÿ0"¾"X4"·"X4"¶"X4 ((¾,·)"S7 & (·,¶)"S7 Ò! (¾,¶)"S7)ÿþÿ"@0=78B82=>ABLÿþÿ"@0=78B82=>ABL
ÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿ=ÿþÿA15ÿþÿÿþÿ$"¾"X4"·"X4 ((¾,·)"S7 & (·,¾)"S7Ò!¾=·)ÿþÿ=B8A8<<5B@8G=>ABLÿþÿ=B8A8<<5B@8G=>ABL
ÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿ?ÿþÿA16ÿþÿÿþÿcard(S6) = 1ÿþÿ=0G5=85 :@8B5@8O 548=AB25==>ÿþÿ=0G5=85 :@8B5@8O 548=AB25==>
ÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿ@ÿþÿD5ÿþÿÿþÿ{¾"X4|(debool(S6), ¾)"S7}ÿþÿ4=0G5=8O DC=:F88 ?>B5@L, =5 C4>2;5B2>@ONI85 :@8B5@8Nÿþÿ4=0G5=8O DC=:F88 ?>B5@L, =5 C4>2;5B2>@ONI85 :@8B5@8N
ÿþÿ4=0G5=8O DC=:F88 ?>B5@L, =5 C4>2;5B2>@ONI85 :@8B5@8Nÿþÿ4=0G5=8O DC=:F88 ?>B5@L, =5 C4>2;5B2>@ONI85 :@8B5@8NÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿAÿþÿD6ÿþÿÿþÿ{¾"X4|(¾, debool(S6))"S7}ÿþÿ1=0G5=8O DC=:F88 ?>B5@L, C4>2;5B2>@ONI85 :@8B5@8Nÿþÿ1=0G5=8O DC=:F88 ?>B5@L, C4>2;5B2>@ONI85 :@8B5@8N
ÿþÿ1=0G5=8O DC=:F88 ?>B5@L, C4>2;5B2>@ONI85 :@8B5@8Nÿþÿ1=0G5=8O DC=:F88 ?>B5@L, C4>2;5B2>@ONI85 :@8B5@8NÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿEÿþÿA17ÿþÿÿþÿPr1(D2) = X1ÿþÿ%;O ;N1>3> >1J5:B0 5ABL >H81:0 =0 =Q<ÿþÿ%;O ;N1>3> >1J5:B0 5ABL >H81:0 =0 =Q<
ÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿBÿþÿA18ÿþÿÿþÿ“"¾, ·"S5 "À1, À2 "X1×X3 (pr1(À1) = pr1(À2) & (pr2(À1), pr2(À2)) " S4 & À1 " pr1(¾) & À2 " pr1(·) & pr1(¾)\{À1} = pr1(·)\{À2} Ò! (pr2(¾), pr2(·))"S7)ÿþÿB@8 C25;8G5=88 >H81:8 =0 >4=>< >1J5:B5, DC=:F8O ?>B5@L C25;8G8BAO ÿþÿB@8 C25;8G5=88 >H81:8 =0 >4=>< >1J5:B5, DC=:F8O ?>B5@L C25;8G8BAO 
ÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿHÿþÿT1ÿþÿÿþÿ
debool(D4)"D6ÿþÿ.=0G5=85 DC=:F88 ?>B5@L C4>2;5B2>@O5B :@8B5@8Nÿþÿ.=0G5=85 DC=:F88 ?>B5@L C4>2;5B2>@O5B :@8B5@8N
ÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿÿþÿ

H