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SHUIOXRURGLPHWK\OEXWDQHSHQWDIOXRUREHQ]HQHSHQWDIOXRURSKHQROWHWUDIOXRUREHQ]HQHWHWUDIOXRUREHQ]HQHWHWUDIOXRUREHQ]HQHGLFKORUREHQ]HQHGLFKORUREHQ]HQHGLFKORUREHQ]HQHEURPREHQ]HQHFKORUREHQ]HQHIOXRUREHQ]HQHLRGREHQ]HQHEHQ]HQHSKHQRODQLOLQHPHWK\OSLULGLQHPHWK\OSLULGLQHKH[DGLHQHF\FORKH[HQHFDSURQLWULOHF\FORKH[DQHPHWK\OF\FORSHQWDQHKH[HQHFLVKH[HQHWUDQVKH[HQHFLVKH[HQHWUDQVKH[HQHPHWK\OSHQWHQHFLVPHWK\OSHQWHQHWUDQVPHWK\OSHQWHQHFLVPHWK\OSHQWHQHWUDQVPHWK\OSHQWHQHGLPHWK\OEXWHQH

,G )RUPXOD 1DPH 7PLQ.

7PD[.

UPV

PD[

P Q UPV

PD[

P Q *

&+&+&+2&+2&+2&+2&+2&+2&+2&+2&+&+&+&+&+&+&+2&+2

GLPHWK\OEXWHQHGLPHWK\OEXWHQHF\FORKH[DQROHWK\OSURS\ONHWRQHPHWK\OLVREXW\ONHWRQHEXW\ODFHWDWHLVREXW\ODFHWDWHHWK\OEXW\UDWHHWK\OLVREXW\UDWHSURS\OSURSLRQDWHKH[DQHLVRKH[DQHPHWK\OSHQWDQHPHWK\OSHQWDQHGLPHWK\OEXWDQHGLPHWK\OEXWDQHKH[DQROHWK\OEXW\OHWKHU

&+2&+2&+1&+1&+1&)&)&+)&+2&+2&+&+2&+2&+2&+2&+2

GLSURS\OHWKHUGLLVRSURS\OHWKHUGLSURS\ODPLQHGLLVRSURS\ODPLQHWULHWK\ODPLQHSHUIOXRURPHWK\OF\FORKH[DQHSHUIOXRURKHSWDQHSHQWDIOXRURWROXHQHEHQ]DOGHK\GHEHQ]RLFDFLGWROXHQHPHWK\OSKHQLOHWKHUEHQ]\ODOFRKRORFUHVROPFUHVROSFUHVRO

,G )RUPXOD 1DPH 7PLQ.

7PD[.

UPV

PD[

P Q UPV

PD[

P Q *

&+1&+1&+1&+1&+&+&+&+&+&+&+&+&+2&+2&+2&+&+&+&+&+&+&+&+&+&+2&+2&+&+2&+2&+&+&+&+&+2

1PHWK\ODQLOLQHRWROXLGLQHPWROXLGLQHSWROXLGLQHF\FORKHSWDQHGLPHWK\OF\FORSHQWDQHFLVGLPHWK\OF\FORSHQWDQHWUDQVGLPHWK\OF\FORSHQWDQHHWK\OF\FORSHQWDQHPHWK\OF\FORKH[DQHKHSWHQHWULPHWK\OEXWHQHSURS\OEXW\UDWHSURS\OLVREXW\UDWHLVREXW\OSURSLRQDWHKHSWDQHPHWK\OKH[DQHPHWK\OKH[DQHGLPHWK\OSHQWDQHGLPHWK\OSHQWDQHGLPHWK\OSHQWDQHGLPHWK\OSHQWDQHHWK\OSHQWDQHWULPHWK\OEXWDQHKHSWDQROSKWDO\FDQK\GULGHVW\UHQHPHWK\OSKHQLONHWRQHPHWK\OEHQ]RDWHR[\OHQHP[\OHQHS[\OHQHHWK\OEHQ]HQHHWK\OSKHQLOHWKHU

,G )RUPXOD 1DPH 7PLQ.

7PD[.

UPV

PD[

P Q UPV

PD[

P Q *

&+1&+&+&+&+&+&+&+&+&+&+&+&+&+&+&+&+&+&+2&+2&+&+&+&+&+&+&+&+&+&+&+&+&+&+

11GLPHWK\ODQLOLQHGLPHWK\OF\FORKH[DQHFLVGLPHWK\OF\FORKH[DQHFLVGLPHWK\OF\FORKH[DQHWUDQVGLPHWK\OF\FORKH[DQHFLVGLPHWK\OF\FORKH[DQHWUDQVGLPHWK\OF\FORKH[DQHHWK\OF\FORKH[DQHWULPHWK\OF\FORSHQWDQHWULPHWK\OF\FORSHQWDQHWULPHWK\OF\FORSHQWDQHFFWWULPHWK\OF\FORSHQWDQHFWFPHWK\OHWK\OF\FORSHQWDQHSURS\OF\FORSHQWDQHLVRSURS\OF\FORSHQWDQHF\FORRFWDQHRFWHQHRFWHQHLVREXW\OEXW\UDWHLVREXW\OLVREXW\UDWHRFWDQHPHWK\OKHSWDQHPHWK\OKHSWDQHPHWK\OKHSWDQHGLPHWK\OKH[DQHGLPHWK\OKH[DQHGLPHWK\OKH[DQHGLPHWK\OKH[DQHGLPHWK\OKH[DQHGLPHWK\OKH[DQHHWK\OKH[DQHWULPHWK\OSHQWDQHWULPHWK\OSHQWDQHWULPHWK\OSHQWDQH

,G )RUPXOD 1DPH 7PLQ.

7PD[.

UPV

PD[

P Q UPV

PD[

P Q *

&+&+&+&+&+2&+2&+2&+2&+1&+1&+&+2&+&+&+&+&+&+

WULPHWK\OSHQWDQHPHWK\OHWK\OSHQWDQHPHWK\OHWK\OSHQWDQHWHWUDPHWK\OEXWDQHRFWDQROGLEXW\OHWKHUGLWHUWEXW\OHWKHUHWK\OKH[DQROGLEXW\ODPLQHGLLVREXW\ODPLQHDOSKDPHWK\OVW\UHQHHWK\OEHQ]RDWHSURS\OEHQ]HQHLVRSURS\OEHQ]HQHPHWK\OHWK\OEHQ]HQHPHWK\OHWK\OEHQ]HQHPHWK\OHWK\OEHQ]HQHWULPHWK\OEHQ]HQH

&+&+&+&+&+&+&+&+&+&+&+&+&+&+&+&+

WULPHWK\OEHQ]HQHWULPHWK\OEHQ]HQHSURS\OF\FORKH[DQHLVRSURS\OF\FORKH[DQHQRQHQHQRQDQHPHWK\ORFWDQHGLPHWK\OKHSWDQHWULPHWK\OKH[DQHWULPHWK\OKH[DQHWULPHWK\OKH[DQHGLHWK\OSHQWDQHWHWUDPHWK\OSHQWDQHWHWUDPHWK\OSHQWDQHWHWUDPHWK\OSHQWDQHWHWUDPHWK\OSHQWDQH

,G )RUPXOD 1DPH 7PLQ.

7PD[.

UPV

PD[

P Q UPV

PD[

P Q *

&+&+&+&+&+&+&+&+&K&+&+&+1&+&+&+&+&+&+&+&+&+&+&+&+2&+&+&+2&+&+&+&+&+2&+&+

QDSKWDOHQHWHWUDK\GURQDSKWDOHQHEXW\OEHQ]HQHLVREXW\OEHQ]HQHVHFEXW\OEHQ]HQHWHUWEXW\OEHQ]HQHPHWK\OLVRSURS\OEHQ]HQHPHWK\OLVRSURS\OEHQ]HQHPHWK\OLVRSURS\OEHQ]HQHGLHWK\OEHQ]HQHWHWUDPHWK\OEHQ]HQHQEXW\ODQLOLQHFLVGHFDOLQWUDQVGHFDOLQEXW\OF\FORKH[DQHLVREXW\OF\FORKH[DQHVHFEXW\OF\FORKH[DQHWHUWEXW\OF\FORKH[DQHGHFHQHGHFDQHWULPHWK\OKHSWDQHWHWUDPHWK\OKH[DQHWHWUDPHWK\OKH[DQHGHFDQROPHWK\OQDSKWDOHQHPHWK\OQDSKWDOHQHEXW\OEHQ]RDWHKH[\OF\FORSHQWDQHXQGHFHQHXQGHFDQHGLSKHQ\OGLSKHQ\OHWKHUKHSW\OF\FORSHQWDQHGRGHFHQH

,G )RUPXOD 1DPH 7PLQ.

7PD[.

UPV

PD[

P Q UPV

PD[

P Q *

&+&+2&+2&+1&+&+&+&+&+&+&+&+&+&+&+&+&+&+&+&+2&+&+&+&+2&+&+&+&+&+2

GRGHFDQHGLKH[\OHWKHUGRGHFDQROWULEXW\ODPLQHGLSKHQ\OPHWKDQHRFW\OF\FORSHQWDQHWULGHFHQHWULGHFDQHQRQ\OF\FORSHQWDQHWHWUDGHFHQHWHWUDGHFDQHGHFLOF\FORSHQWDQHSHQWDGHFHQHSHQWDGHFDQHGHF\OF\FORKH[DQHKH[DGHFHQHKH[DGHFDQHGRGHF\OF\FORSHQWDQHKHSWDGHFDQHKHSWDGHFDQRORFWDGHFHQHWULGHF\OF\FORSHQWDQHRFWDGHFDQHRFWDGHFDQROF\FORSHQW\OWHWUDGHFDQHQRQDGHFDQHF\FORSHQW\OSHQWDGHFDQHHLFRVDQRHLFRVDQRO

$VVRFLDomR%UDVLOHLUDGH(QJHQKDULD4XtPLFD5XD/tEHUR%DGDUyDQG6mR3DXOR63%UD]LO

7HO)D[)D[

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