vilenkin-gdz-5-2000_Решения задач 1-1826 (991116)

Просмтор этого файла доступен только зарегистрированным пользователям. Но у нас супер быстрая регистрация: достаточно только электронной почты!

Текст из файла

>hfZrgyy jZ[hlZihfZl_fZlbd_aZ deZkkd mq_[gbdm ©FZl_fZlbdZdeZkkªGY<be_gdbgb ^jF©Fg_fhabgZª]mq_[ghijZdlbq_kdh_ihkh[b_ < ihjy^d_ ke_^h\Zgby aZibkZgu qbkeZ iylgZ^pZlv klh iylv^_kyl ^\Ziylvkhlq_lujgZ^pZlv^\_lukyqbiylvkhlljb^pZlvk_fviylvlukyqk_fviylv^_kyl ^\_ lukyqb r_klvkhl iylgZ^pZlv Khhl\_lkl\_ggh pbnjZ \ aZibkbwlboqbk_ehagZqZ_lqbkeh_^bgbpqbkeh^_kyldh\qbkehkhl_gqbkehlukyq^_kyldh\lukyqPbnjZ \ aZibkbqbk_e ihke_^h\Zl_evgh hagZqZ_l hlkmlkl\b_ _^bgbp \ jZajy^Zo _^bgbp ^_kyldh\lukyq^_kyldh\lukyqlukyqkhl_gb ^_kyldh\ Z[\]^_Khhl\_lkl\_gghwlhqbkeZ^_\ylvkhlljbiylvkhl\hk_fv^_kylljblukyqb^\_klbkhjhdh^bgr_klvlukyqiylvkhlkhjhdljbljblukyqb^_\ylvkhliylv^_kylk_fvlukyq\hk_fv Khhl\_lkl\mxsb_ qbkeZ bf_xl ke_^mxsmx aZibkv ² ^\_lukyqbq_luj_klZ k_fv ² ljb^pZlv iylv lukyq \hk_fvkhl^_kylv² iylvkhllukyq ^\_klb iylgZ^pZlv ²r_klvfbeebhgh\iylvkhlk_fv^_kyllukyq² ljbfbeebZj^Zkhjhd \hk_fv fbeebhgh\ iylvkhl q_luj_ lukyqb ljbklZ ^\Z^pZlv iylv ² ^\Z^pZlv q_luj_ fbeebZj^Z r_klvkhl k_fv^_kyl lukyqh^bg ² ljbklZ fbeebZj^h\ klh fbeebhgh\ ^\_klb ljb^pZlvq_luj_lukyqbklh^\Z^pZlv^_\ylvIylvkhl^_\ylvr_klvlukyqh^bg^_\yghklhlukyqiylv^_kylk_fvfbeebZj^h\ \hk_fvkhl iylv^_kyl lukyq klh ^\Z^pZlv k_fv iylv^_kyl r_klvfbeebZj^h\ k_fvkhl ^_\ylv lukyq ^\Z^pZlv h^bg fbeebZj^ \hk_fv^_kyliylvfbeebhgh\ljbklZkhjhdfbeebZj^h\q_luj_fbeebhgZ^_\yghklhlukyq ljbklZ \hk_fv^_kyl r_klv fbeebZj^h\ \hk_fvkhl ^\Z^pZlv fbeebhgh\\hk_fvkhlh^bgfbeebZj^ljb^pZlvh^bgr_klv^_kylljbfbeebZj^Z^_\ylvfbeebhgh\iylv^_kylh^bgfbeebZj^klhlukyq^_\ylvkhl^_\yghklh^_\ylvljbklZ \hk_fv^_kyl ljb fbeebZj^Z ljbklZ r_klv^_kyl iylv fbeebhgh\ q_luj_klZ^_\ylvlukyqk_fvkhlk_fv QbkeZihihjy^dmboke_^h\Zgby\ l_dkl_ ²r_klv^_kylr_klvlukyqr_klvkhlr_klv^_kylr_klv ² \hk_fv fbeebZj^h\ \hk_fv^_kyl fbeebhgh\ \hk_fvkhl\hk_fvlukyq\hk_fv^_kylZ±r_klvkhlkhjhdk_fvlukyqr_klvkhlkhjhdk_fv[ ± r_klvkhl khjhd k_fv fbeebhgh\ r_klvkhl khjhd k_fv lukyqr_klvkhlkhjhdk_fv\±r_klvkhlkhjhdk_fvfbeebZj^h\r_klvkhlkhjhdk_fvfbeebhgh\r_klvkhlkhjhdk_fvlukyqr_klvkhlkhjhdk_fv b LjbklZ\hk_fv^_kyl^_\ylvkhlk_fvr_klv^_kyllukyq^\_klbljb^pZlv^_\ylvklh^\_lukyqbq_luj_klZ^_\ylvkhl^_\yghklh^_\ylvlukyq^_\ylvkhl^_\yghklh^_\ylv < khlg_ ^_kylv ^_kyldh\ \ lukyq_ ^_kylv khl_g b klh ^_kyldh\ \ fbeebhg_lukyqZlukyq >eyaZibkbqbkeZbkihevah\ZghpbnjbadhlhjuoljbjZaebqguZ[\]^_ Z± ± [±˜± ˜ \± ± ]˜ Z [ \ ] <lhjhcdhf[Zcg_jgZfhehlbe± l a_jgZZ h[ZgZfhehlbeb l a_jgZ FZkkZ]jmrbjZ\gZ ]Z fZkkZo y[ehdb ]jmrbjZ\gZ˜ ] JZkklhygb_hl^hfZ^hrdheugZ± f f_gvr_jZkklhygbyhl^hfZ^hklZ^bhgZZ [± \˜ ] ^ _˜ ± ± ` a˜ ± ˜ Z[\]^ Z[\]^_`a ±q_luj_klZkhjhdq_luj_fbeebhgZq_luj_klZkhjhdq_luj_lukyqbq_luj_klZkhjhdq_luj_b GZn_jf_ dhjh\Z gZo n_jfZo dhjh\u JZkklhygb_hlrdheu^hdbghl_ZljZgZ ± f f_gvr_ jZkklhygbyhldbghl_ZljZ^h^hfZ Z˜ [˜ ˜ \ ] LhqdbJ bL ^_eylhlj_ahdDFgZhlj_adbDJJL bLFLhqdZL ^_eblhlj_ahdDFgZhlj_adbDLb LF.370 GZhlj_ad_K'e_`Zllhqdb )b Dg_e_`Zllhqdb?< b: ZLhqdb K'?[lhqdb'b ?\lhqdZK]lhqdZ? GZ jbkmgd_ hlf_q_gu hlj_adbHK HD HF KD KF DF jZ\gu_hlj_adbmdZaZguh^bgjZa2&.0%' JZ\guf_`^mkh[hchlj_adb:<b JLFDb ()K< kf:< kf <' ˜ kf:' kf$&Z^fkf kfkf kf[^fkf kfkf kf\^fkf kfkf kf Zkf kfkf ^fkf[kf kfkf ^fkf\kf kfkf ^fkf Zkfff ff ff ff[^fkfff ff ff ff ff\kf ff Zff ff ff kfff[ff ff ff kfff Zdff f f f[dff f f f\dff f f f Zf f f dff[f f f dff\f f f dff Zf kf[f kf ff\^f kf ff]df f kf ff$%:< kfff<K kfff0$.&%F: kfFD kfff:D kfff <_jrbgZfbr_klbm]hevgbdZy\eyxlkylhqdb 123760klhjhgZfbr_klbm]hevgbdZy\eyxlkyhlj_adb122337766001 G_h[oh^bfh ijh\_klb hlj_ahd $' <_jrbgZfb ihemqb\r_]hky q_luj_om]hevgbdZy\eyxlkylhqdb :KF'klhjhgZfbwlh]hq_luj_om]hevgbdZy\eyxlkyhlj_adb:KKFF'b '$Ebgby&'y\ey_lkyhlj_adhf R_klvlukyq\hk_fviylvfbeebhgh\^\_klbljb^pZlvh^gZlukyqZklhiylv^_kylq_luj_^_\ylvfbeebhgh\iylv^_kyliylvlukyqk_fvr_klv^_kylfbeebhgh\\hk_fv^_kyllukyqiylgZ^pZlv Z [± ± ± ± ± \˜ ˜ ˜ ˜ ˜ ] KeZ]Z_fh_KeZ]Z_fh_KmffZ Z ± [ ± \ ± Z[\ K ihfhsvxpbnjfh`ghkhklZ\blvlj_oagZqguoqbk_e[_aih\lhjZ pbnj \ bo aZibkb GZbf_gvr__ ba wlboqbk_eZ gZb[hevr__ >ebgZj_dbMjZe± df<he]Z^ebgg__MjZeZgZ± df Kdhjhklveu`gbdZ dfqihwlhfmdfhgijhc^_laZ qAZq Z\lh[mkijhr_e˜ ˜ df Z Kdhjhklv \_ehkbi_^bklZ ± dfq hgZ \ jZaf_gvr_kdhjhklbfhlhpbdebklZ[Kdhjhklvwe_dljh\haZ dfqijbwlhfkdhjhklvl_iehoh^Z\ jZaZf_gvr_kdhjhklbwe_dljh\haZ ± ˜ ± ± ± ˜ ± ± Ihemqbebkvhlj_adbH:HFHDHL Ihemqbebkvhlj_adb<K<F<1010&1KIjbwlhfZ<F <K[1& 0&% df f ^f kf01& Zdf fdff fdff f[f dfff dff\^fkf kff kf kff kf kfff kfff kf]ff kfffff kfffff kfff < iZd_l_hklZehkv± ˜ ± ] djmiu <ukhlZ ]hju Ih[_^Z jZ\gZ ± ± ± fDexq_\kdZyKhidZgZ± f \ur_]hjuIh[_^Z Kdhjhklvl_iehoh^ZjZ\gZ dfqihwlhfmdfhgijhc^_laZ q AZwlh\j_fy]_heh]bij_h^he_eb˜ ˜ df Z˜ [˜ ˜ \ ] &03'LhqdZF e_`blgZijyfhc&'lhqdZJ e_`bl\g_hlj_adZ&' IjyfmxgZjbkmgd_fh`ghh[hagZqblvke_^mxsbf kihkh[hf :K :J JK K:J:KJ$3& Lhqdb:DK< e_`ZlgZijyfhc:<Z lhqdb?'J g_e_`ZlgZijyfhc:< G_i_j_k_dZxlkyijyfZy:<b hlj_ahd&'ijyfZy:<b emq&'hlj_adb :< b &' emqb :< b &' I_j_k_dZxlky ijyfu_ :< b K' emqb :< bHDemqb'&b HD&$%:< kf:K kfGZijyfhc:<fh`ghgZclblhqdmgZoh^ysmxkygZjZkklhygbbdfhl:>\_i_j_k_dZxsb_kyijyfu_^_eyliehkdhklvgZqZklb%&$Ijyfu_:<:Kb <K^_eyliehkdhklvgZqZkl_c Lhqdb K?'hlj_adb:<b :DijyfZy:<emqb:<:D<:b D:$%&';:< <K K' kf GZ emq_ :O fh`gh hleh`blv ex[h_ gZlmjZevgh_qbkehhlj_adh\ihkfdZ`^uc Z [± ± ± ± ± \˜ ˜ ˜ ˜ ˜ ]˜ ˜ ˜ ^ Mf_gvrZ_fh_<uqblZ_fh_JZaghklv Z ˜ ˜ [ \˜ ˜ ˜ ]˜ ˜ ˜ Fh`_lGZijbf_j ± ZLjbpbnju[ljbpbnju\ljbpbnju]q_luj_pbnju Zf kff kf f kf f kf[^f kfkf kfkf kf ^fkf\f kff kf kfkf kf f kf]dff f f f f dff033.FJ kfJD kfffDK kfff.&Ihemqbebkvq_luj_om]hevgbdF<K1b iylbm]hevgbd:F1'( Zkf ^fkf ^ff ^ff ^f[kf f^f fdf fdff fff f Z[\] ±klh\hk_fv^_kylfbeebhgh\iylvkhl^_\ylv±ljbklZfbeebhgh\h^gZlukyqZk_fvkhl±r_klvkhl\hk_fvfbeebZj^h\r_klvkhlfbeebhgh\iylvlukyqljb JZkklhygb_f_`^mklZgpbyfbjZ\gh˜ dfihwlhfmkdhjhklviZkkZ`bjkdh]hih_a^ZjZ\gZ ±dfqJZkklhygb_f_`^m]hjh^hfb k_ehfjZ\gh˜ dfb \_ehkbi_^bklmgZwlhlimlvihlj_[m_lky q $&%'31'Lhqdb:K<H e_`ZlgZijyfhc:<lhqdb'J b1g_e_`ZlgZg_c &2%3.')LhqdbHJD e_`ZlgZemq_&'lhqdb < b)g_e_`ZlgZwlhfemq_203$GZq_jl_`_ihemqbebkvemqbH:F:J:Hlj_ahd K' i_j_k_dZ_lijyfmx :< hlj_ahdDF g_ i_j_k_dZ_l :<hlj_ahdJ?g_ e_`bl gZ:< <ukhlZHklZgdbgkdhcl_e_\babhgghc[ZrgbjZ\gZ± f I_j\hgZqZevghfhlhpbdebklijh_oZejZkklhygb_˜ dfGZh[jZlghc^hjh]__fmgm`ghijh_oZlv dfkhkdhjhklvx± dfqAgZqblgZh[jZlgmx^hjh]mfhlhpbdebklaZljZlbl q Z˜ [˜ ˜ \±˜ ± ]±˜ ˜ Z˜ kf kf f kf[˜ kf kf f kf\˜ kf˜ kf kfkf kf f kf < gZklhysbcfhf_gll_jfhf_ljuihke_^h\Zl_evghihdZau\Zxll_fi_jZlmjm K K K b KL_jfhf_lju[m^mlihdZau\Zlvl_fi_jZlmjmZKKK bK[KKK bK\KKK bK]KKK bKZL_fi_jZlmjZih\ukbeZkvgZ]jZ^mkh\[ihgbabeZkvgZ]jZ^mkh\\ihgbabeZkvgZ]jZ^mkh\]ih\ukbeZkvgZ]jZ^mkh\ Lhqd_ : khhl\_lkl\m_lqbkehlhqdb< qbkehlhqd_K qbkehlhqd_'qbkeh JhklK_j_`bjZ\_gf kfEx^u±f kfLZgb±f kf<Zgb±f kfb I_lb±fIjbwlhfLZgygb`_K_j_`bb \ur_hklZevguomq_gbdh\ l d] d]l d] d]l p d]p d] d]l p d] d]p d] d]d]] ]d]] ]d]] ]d] ]p d]] d]] ]p d]] d]] ] ] d]]] d]] d] l d]d] l d]d] d]d] p d]d] d]d] p d] Z [± Z [± ± ± ± ± \˜ ˜ ˜ ˜ ˜ ] Fgh`bl_evFgh`bl_evIjhba\_^_gb_AZq oh^v[ui_r_oh^b^msbckhkdhjhklvxdfq ba?evgbgh\ Khkgh\dmijhc^_l˜ dfAZq hgijhc^_l˜ dfaZq ²˜ dfaZq ²˜ dfb hdZ`_lky\ Khkgh\d_ Zf f[f f\f f Zf kf˜ kf˜ kf f kf[^fkf˜ kf˜ kf ^fkf ?kebd h^ghagZqghfmgZlmjZevghfmqbkemQijbibkZlvlZdh_`_qbkehlhihemqblkyqbkehQQ QQKe_^h\Zl_evghbkoh^gh_ qbkeh Q m\_ebqblkygZQQ±Q QQ± Q QIjbibkZ\d Q ^\ZlZdboqbkeZihemqbfqbkehQQQ QQQKe_^h\Zl_evghbkoh^gh_qbkehQm\_ebqblkygZQQQ±Q QQQ± Q QQGZq_jl_`_hlf_q_guemqbH:H<HKH'HDHJHFH1Ijyfu_:<K'01DJ^_eyliehkdhklvgZqZkl_cH: :< <K K' kfGZemq_HOfh`ghhleh`blvex[h_qbkehhlj_adh\ihkfH< kfHKkfH' kf:' kfF_`2$%&'; ^mlhqdZfb H b< e_`bllhqdZ:f_`^mH bK ±lhqdb: b<f_`^m< b'±lhqdZK ±h^bgfbeebhg±h^bgfbeebZj^± klhlukyq±ljbfbeebhgZ GZ fZrbgm ]jmabeb ih l a_jgZ Z gZ fZrbgm ]jmabeb ih l a_jgZAZljbj_ckZfZrbgui_j_\_aeb˜ ˜ l a_jgZ AZq jZ[hlujZ[hqbcba]hlh\bl˜ ^_lZe_cjZ[hqbcba]hlh\bl˜ ^_lZe_cAZq jZ[hlu\f_kl_hgb ba]hlh\yl ˜ ˜ ^_lZe_c AZ wlh \j_fy jZ[hqbc ba]hlh\bl gZ ±˜ ˜ ^_lZe_c[hevr_jZ[hq_]h <blyihljZlbegZ ^hjh]m gZ ± ± q [hevr_ q_fFbrZ ±˜ ± ±˜ ˜ ˜± ˜ ˜± ± Zd]] ] ] ][d]] ] ] ]\d] ] Zd] l l[p l l\d] l l Zp d] d]d] d][l p d]d] d]\l d] d]d] d] H[sZyfZkkZiZd_lh\d_nbjZih] khklZ\ey_ld]] ± ˜ ]] ±] ]AgZqbl[uehdmie_gh iZd_lZd_nbjZih] >ebgZdblZjZ\gZfdZevfZjZ±fZdmeu±fdjhdh^beZ±fIjbwlhfdbl^ebgg__ZdmeugZ± fdjhdh^bedhjhq_dZevfZjZgZ± f AZq jZ[hqb_kh\f_klghba]hlh\yl˜ ˜ ^_lZe_cIhwlhfm^_lZebhgbba]hlh\ylaZ q kh\f_klghcjZ[hlu Z˜ [ ±˜ ± \±˜ ˜ Z:e_\__ <[:e_\__ < \<e_\__ :] <e_\__:^:e_\__<_<e_\__: ZKijZ\__'[KijZ\__'\KijZ\__']'ijZ\__ K^KijZ\__'_KijZ\__' Z [ \ ] Z! [! \! ]! Z ^ _ ^! _! [! Z <hk_fgZ^pZlv [hevr_ k_fgZ^pZlb b f_gvr_ ^\Z^pZlb [ ljbklZiylv^_kyl\hk_fv[hevr_q_fljbklZkhjhdr_klvb f_gvr_q_fq_luj_klZ Z[F_`^mb gZlmjZevguoqbk_eg_lZ  [  \  QbkehgZoh^blkyf_`^mb b hdZgqb\Z_lkypbnjhc Z=jbrbg:glhgh\<hjhgbgZ;hjbkh\>_fbgZ?jfbeh\Z[?jfbeh\Z>_fbgZ;hjbkh\<hjhgbgZ:glhgh\=jbrbg Z [˜ \ ± :< FD HJ K' ()]˜ z ^˜ _  :<! &'$'! $&&' &% Z ˜ ˜ ± [˜ ˜ ˜ ˜ ˜ \ ]± ± ± ± ± >_ebfh_>_ebl_evQZklgh_ZLhqdbF b 1m^Ze_guhllhqdb < gZ_^bgbqguohlj_adZ[LhqdZ'm^Ze_gZhllhqdb < gZ_^bgbqguohlj_adZZ[ M :e_rb fZjdZbebgZ± fZjdbf_gvr_q_f m:g^jxrb ;jb]Z^ZaZ± q ba]hlh\beZ^_lZe_cAgZqblaZq hgZba]hlZ\eb\ZeZ ^_lZe_cZ dZ`^ucjZ[hqbcaZq ba]hlZ\eb\Ze ^_lZe_c ZGZ^hjh]mbaeZ]_jy\ ]hjh^lmjbklaZljZlbe qZ gZh[jZlgucimlv qKe_^h\Zl_evghgZ ^hjh]m ba eZ]_jy \ ]hjh^ lmjbklaZljZlbegZ± q [hevr_[Imlvhl^hfZ^hjZchggh]hp_gljZaZgyem B]hjy qZ h[jZlgucimlv qKe_^h\Zl_evghgZh[jZlgucimlvB]hjvaZljZlbegZ± q f_gvr_ ± ± ± ± ± ± Z: e_\__ < ['e_\__K \)e_\__? ]D e_\__J Z: ijZ\__ H ['ijZ\__K \1ijZ\__F ]D ijZ\__J Qbkeh[hevr_q_fb f_gvr_q_fb hdZgqb\Z_lkypbnjhc Z! [ \ ]! ^ _! Q_luj_oagZqgh_qbkehhdZgqb\Z_lkypbnjhcb [hevr_q_f : < K ' Z± z [˜ z \˜ z ] ± ZAZq ]hem[vijhe_lbljZkklhygb_˜ dfZ lZddZdlh]hem[vg_mki__l^hklZ\blv^hg_k_gb_[aZq ]hem[vijhe_lbl˜ dfZ lZddZd!lh]hem[vmki__l^hklZ\blv^hg_k_gb_ JZkklhygb_hlOZjvdh\Z^hFhkd\ujZ\gh dfihwlhfm^ebgZimlbhlK_\Zklhihey^hFhkd\uq_j_aOZjvdh\jZ\gZ df JZkklhygb_hlklZgbpu^h]hjh^ZjZ\gh˜ dfgZh[jZlgmx^hjh]m:g^j_cihljZlbl q Kdhjhklv\kZ^gbdZ dfqZ kdhjhklvfhlhpbdebklZdfqKe_^h\Zl_evghfhlhpbdebklgZdfimlbihljZlbl q Z±˜ ˜ [± ± \± ] Iexk Qbkeh Hlj_ahd Lj_m]hevgbd >_e_gb_ Ehdhlv EmqIehkdhklvKeh`_gb_LjbAZ^Zqb D qbkemgZ^hjZaZijb[Z\blvihqlh[uihemqblvqbkeh ;uehdmie_gh d]h\hs_cb d]njmdlh\ <lhjZy^_\hqdZkh[jZeZd]] ] d]] fZebguZ \f_kl_hgbkh[jZebd]] d]] d]] fZebgu <hiZqd_ dgb]Z\ iZqd_ dgb]Z \o iZqdZo dgb]Z <h^_gvkh[jZgh l dZjlhn_ey\ ^_gvkh[jZgh laZ^gykh[jZgh l dZjlhn_eyHllhqdbF gZ^hhleh`blv_^bgbqguohlj_adh\\ijZ\hqlh[uihiZklv\ lhqdmL Z [ Z [ Z [ \ ] ˜ Z [ Z [ \ ] Z [ \ ] Ijh^mdpbyF_kypKlmevyKlheuLmf[hqdb<k_]hYg\ZjvN_\jZevFZjl<k_]h Nb]mjuP\_lLj_m]hevgbdbQ_luj_om]hevgbdb<k_]h;_eu_K_ju_Q_jgu_<k_]h   ! lZddZddZ`^h_keZ]Z_fh_i_j\hckmffu[hevr_khhl\_lkl\mxs_]h_fmkeZ]Z_fh]h\lhjhckmffu     Z   [  LZddZd b  lh AgZqblqbkeh! g_fh`_l[ulvkmffhcwlboqbk_e :D :<<D ff :< :FFDD< ff kfff >ebgZaZ[hjZmqZkldZjZ\gZ f >ebgZ\lhjhcklhjhguijyfhm]hevgbdZjZ\gZ˜ kfZ _]hi_jbf_ljjZ\_g˜ ˜ kf 'D kfDK kfJ'.& kf :<K':< <K <' '& kf J:<&' kf$% ffJ:<&' ˜ ff kfffZ± ± ± ± ± [± ± ± ± ± \ ] ˜ ^˜ ˜ ˜ ˜ ˜ Zl d] d]d] [df f f f \p d] d]d] ]df f f f Dj_ihklvkljhbeZkve_l e_l Kms_kl\m_l b \k_wlbqbkeZy\eyxlkygZlmjZevgufb Zm\_ebqblky\ jZa[_kebqbkehbf_eh\b^NQlhNQNQ±Q ˜NQ±qbkehm\_ebqblkygZ˜NQ  !  ] d] d]] d] d]l d]p ˜ d] d]] ]p d] ]l d]] ]>\Z\_dZkhklZ\eyxle_lihe\_dZ±e_lq_l\_jlv\_dZ±e_le_lkhklZ\eyxl\_dZe_l± \_dh\e_l±\_dh\ !   ! ˜ ± ˜ ˜ ± ˜ ˜ ± ˜ ±˜ ˜ <lhjhcdeZkkkh[jZe d]dZjlhn_eylj_lbcdeZkkkh[jZe d]<k_]h[uehkh[jZgh d] ldZjlhn_ey KZfhc fZe_gvdhc ih iehsZ^b y\ey_lky i_j\Zy dhfgZlZ AgZqbliehsZ^v \lhjhc dhfgZlu jZ\gZ f iehsZ^v lj_lv_c dhfgZlu kfkmffZjgZyiehsZ^vdhfgZl f Z [ \ ] Z [ Z [ >gbg_^_ebH^_`^ZIhg_^_evgbd<lhjgbdKj_^ZQ_l\_j]IylgbpZKm[[hlZBlh]H[m\vLjbdhlZ`<k_]hihfZ]ZabgmZ  [  FJ ff ff ffJD ff ff ffJDFJ ff kfff RbjbgZ ijyfhm]hevgbdZ jZ\gZ kf kf i_jbf_lj jZ\_g˜ kf>ebgZklhjhgud\Z^jZlZbf_xs_]hlZdhc`_i_jbf_ljjZ\gZ kf < ]hjh^hlijZ\beb± d]\bgh]jZ^Z^eyq_]hihlj_[h\Zehkv ysbdh\Z[ Z± [˜ ˜ \ ] ^˜ ˜ _˜ ± ± ± ± Ijb\uqblZgbbbagZlmjZevgh]hqbkeZjZaghklvy\ey_lkyij_^r_kl\mxsbf mf_gvrZ_fhfmqbkehf ± BaqbkeZgZ^hjZa\uq_klvqlh[uihemqblvqbkeh Z\uq_klvqbkehbaagZqblgZclblZdh_qbkehdhlhjh_\ kmff_k ^Z_lwlhqbkeh± [\uq_klvbaqbkehagZqblgZclblZdh_qbkehdhlhjh_\ kmff_k ^Z_lWlhqbkeh± \ qbkeh baqbkeZ agZqbl gZclb lZdh_ qbkeh dhlhjh_ \ kmff_ k^Z_lWlhqbkeh± ] \uq_klv ba agZqbl gZclb lZdh_ qbkeh dhlhjh_ \ kmff_ k ^Z_l± Z± [± \lZddZd lh\uqblZgb_\uihegblvg_evay]lZddZd lh\uqblZgb_\uihegblvg_evay^± _± :\lhfh[bexhklZehkvijhclb± df :K :<±K< ± kf FZkkZe [_gabgZjZ\gZ± ] <lhjhc klZghd ba]hlh\be gZ ± ^_lZe_c [hevr_ q_fi_j\uc Kh\lhjh]hmqZkldZa_febkh[jZeb± f_rdZdZjlhn_eyqlhgZ± f_rdh\f_gvr_q_f[uehkh[jZghk i_j\h]hmqZkldZ < jmehg_[ueh f ijh\hehdb >ebgZZdmeujZ\gZ± fLhqdZ < gZdhhj^bgZlghfemq_jZkiheh`_gZke_\ZhlK gZjZkklhygbb _^bgbqguohlj_adh\ Z± \± ^± [± ]± ± _± Z \ [ ] Z± [± ± \± ± ]± I_j\uckihkh[j_r_gby<k_]h\ ljZf\Z__oZeh iZkkZ`bjh\Ihke_lh]hdZdiZkkZ`bjh\\ureb\ ljZf\Z_hklZehkv± iZkkZ`bjh\<lhjhckihkh[j_r_gbyIhke_\uoh^ZiZkkZ`bjh\\h\Z]hg_hklZehkv± iZkkZ`bjZ<k_]h\ ljZf\Z_hklZehkv iZkkZ`bjh\ I_j\uckihkh[j_r_gby<k_]hbaZ\lh[mkZ\ureb iZkkZ`bjh\HklZehkv\ Z\lh[mk_± iZkkZ`bjZ<lhjhc kihkh[ j_r_gby Ihke_ \uoh^Z iZkkZ`bjh\ \ Z\lh[mk_ hklZehkv± iZkkZ`bjZ I_j\uckihkh[j_r_gby < ljhee_c[mk\hrebgZ± iZkkZ`bjZ[hevr_q_fbag_]h\urebAgZqbl\ ljhee_c[mk_klZeh iZkkZ`bjh\<lhjhckihkh[j_r_gbyIhke_\uoh^Zbaljhee_c[mkZiZkkZ`bjh\\ g_fklZeh ± iZkkZ`bjh\ Ihke_ lh]h dZd \hreb iZkkZ`bjh\ \ljhee_c[mk_klZeh iZkkZ`bjh\ Z± ±± ± [± ±± ± \± ± ZK' $%±$&%' ± ± kf[:< $'&%±&'&' $'&%±$% ± ± kf RbjbgZmqZkldZjZ\gZ± fi_jbf_ljjZ\_g˜ ˜ f <K ± kf&' ± kf:' ± ± kf <h^_gvrdhevgbdbkh[jZeb± d]fhjdh\b\ ^_gvhgbkh[jZeb± d]\ ^_gvkh[jZgh d]<k_]haZ^gyrdhevgbdbkh[jZeb d]fhjdh\b <lhjh_f_klhaZgye:g^j_ck hlklZ\Zgb_fk hlih[_^bl_eyLj_lvbf[ue<Zkyk hlklZ\Zgb_f k hlih[_^bl_eyKZrZ[ueq_l\_jlufgZ k iha`_ ih[_^bl_ey Iylh_ f_klh aZgye >bfZ nbgbrbjh\Z\rbcgZ k fbgk iha`_ih[_^bl_ey Z [ Z± [± Z˜ [˜ \ H:±H< ± ZQbkeh klhys__ \ kj_^g_c de_ld_ jZ\ghkmff_djZcgboqbk_e[Qbkeh klhys__ \ kj_^g_c de_ld_ _klv qZklgh_ ijb ^_e_gbb djZcg_]h e_\h]h gZdjZcg__ijZ\h_qbkeh\Qbkeh klhys__ \ kj_^g_c de_ld_ jZ\ghjZaghklb djZcg_]h e_\h]h b djZcg_]h ijZ\h]hqbk_eI_jbf_ljijyfhm]hevgbdZjZ\_gkmff_^ebg_]hklhjhgIhkdhevdm^ebguklhjhgijyfhm]hevgbdZihiZjghjZ\gulh_]hi_jbf_ljjZ\_gm^\h_gghckmff_^ebgg_jZ\guof_`^mkh[hcklhjhgD\Z^jZly\ey_lkyijyfhm]hevgbdhf m dhlhjh]h ^ebgu \k_o o klhjhg jZ\gu Ihwlhfm i_jbf_ljd\Z^jZlZmq_l\_j_gghc^ebg__]hklhjhgu <h \lhjhf khklZ\_ [ueh \Z]hgh\ \ lj_lv_f khklZ\_ [ueh \Z]hgh\<k_]h\ o khklZ\Zo[ueh \Z]hgh\ Z [ Z  [  Z! [!\!] I_jbf_ljijyfhm]hevgbdZjZ\_g˜ kfi_jbf_ljlj_m]hevgbdZgZ± kff_gvr_i_jbf_ljZijyfhm]hevgbdZI_jbf_ljijyfhm]hevgbdZ jZ\_g kf i_jbf_lj lj_m]hevgbdZgZ± kf[hevr_i_jbf_ljZijyfhm]hevgbdZ ±˜ ± ˜± ± ˜± ˜ ˜ < fhld_hklZehkv± f e_kdbHlj_aZebgZ± f e_kdb[hevr_q_f__ hklZehkv\ fhld_ Z ±\uqblZgb_\uiheg_ghijZ\bevgh[ ±\uqblZgb_\uiheg_ghijZ\bevgh Z± [± \± ]± ^± _± :< kf<K kfK' kf f kf Z± ± [± ± \± ± ± ± ]± ± < ih_a^_k\h[h^gufbhklZebkv˜ ± ± f_kl < aZe_k\h[h^gufbhklZebkv± ˜ ± f_klZ < ihjy^d_\hajZklZgbyfZkku`b\hlgu_jZkiheZ]ZxlkylZd]hem[vdmjbpZbg^xdh\pZ\_j[ex^kehg AZqZkmqZsb_kyijhiZeu\Zebkh\f_klgh ]jy^hdb ]jy^dmijhihehebaZ qZkh\ Z˜ ± [±˜ ± \±˜ ± ]±˜ ˜ Z [±± ± \ ˜ ]˜± ± ^±˜ ˜ _ ZZ[o ± Z±[±±\Z \m Z ±]±j]o ±E±^± Z o ±_E±m ZZ ±E± kmffZ\ujZ`_gbyZ fbgmkEb qbkeZ[m ± ±jZaghklv\ujZ`_gbym iexkb qbkeZ\±o ±jZaghklvqbkeZb \ujZ`_gbyo iexk]Z ±k ±±kmffZ\ujZ`_gbyZ fbgmkb kfbgmk ZIjbQ Q± ± ijbQ Q± ± ± ijbQ Q± ± ± [IjbZ E Z ±E ± ± AgZq_gb_ZAgZq_gb_Z AgZq_gb_±ZZ±ZZijbZ [±Z!ZijbZ \±Z ZijbZ Z<hf_rd_[uehd]a_jgZZ \h[hbof_rdZo[ueh d]a_jgZ[IehsZ^v^jm]hcl_iebpujZ\gZ±fZiehsZ^vh[_bol_iebpjZ\gZ± f>jm]hfm[jZlmo e_lIjbo o ijbo o ijbo o KlZjr_fm[jZlmZ Ee_lZIjbZ E Z E [ijbZ E Z E < iheghqvl_jfhf_ljihdZau\ZeW±SKZIjbW S W±S ± &[IjbW S W±S ± & K_klj_o ±Ze_lAZ^ZqZbf__lkfukeijbgZlmjZevguoagZq_gbyoo bZijbq_fo ! ZHq_\b^ghqlhijbo Z aZ^ZqZg_bf__lkfukeZ Z<ujZ`_gb_Z Ekhhl\_lkl\m_lp_g_nml[hedbb ljmkh\[\ujZ`_gb_Z ±EihdZau\Z_ljZagbpmp_gunml[hedbb ljmkh\\\ujZ`_gb_±Z EihdZau\Z_lkdhevdh^_g_]hklZg_lkyhljm[e_cihke_ihdmidbnml[hedbb ljmkh\ :D :<±D< o ±kfijbo :D ± kfijbo :D ± kfijbo :D ± kf J:<K :<<K :K k GkfZIjbk G J:<K kf[Ijbk G J:<K kf 2$D±3D%D0 2E±' D ˜ E%[ ˜ E$\ ˜ &] ˜ ^ ˜ Z[ HF±HD ± HF HD Zkfff ˜ ff ˜ ff kf[p d]˜ d]˜ d] p d]\l p d] d] l p d]]^fff ff ff kfff Z ˜ [ ˜ ˜ \± ± ] Ml\_j`^_gbyZ\y\eyxlky\_jgufbml\_j`^_gb_[g_\_jgh H[sZyfZkkZ[_]_fhlZb _]h^_l_gurZjZ\gud]d]±d] d] Z [ \ Z01 kf1' kfK' kf[01 ± kf1' ± ± kf\&10' &'0101 &10'±&' ± ± kf˜ ± ± ± ˜ ± ˜ ± ± Klhbfhklv dZ`^hc ba ^_lZe_c jZ\gZ jm[e_c ZklhbfhklvdZ`^hcba^_lZe_cjZ\gZ jm[e_cAgZqblklhbfhklvh^ghc^_lZeb\lhjh]h\b^Z[hevr_klhbfhklb^_lZeb i_j\h]h\b^Z\ jZaZF_lZeebq_kdbo^_lZe_cdmie_gh rlmdieZklfZkkh\uo^_lZe_cdmie_gh rlmdbAgZqblf_lZeebq_kdbo^_lZe_cdmie_ghgZ± rlmd[hevr_ Z ˜ [ ± ± \˜ ±˜ ± ]±˜ ± ± <K kf:K ± kfJ:<K ± kf Z±[Z \o m ]P±Q < kmldZoqihwlhfmijh^he`bl_evghklvghqbjZ\gZ±ZqIjbZ ± Z ± qIjbZ ± Z ± qIjbZ ± Z ± qFZkkZZj[maZjZ\gZ±Qd]h[sZyfZkkZ±o Zj[mah\±Q±Qd] IjbQ ±Q ± d] ijbQ ±Q ± d]ijbQ ±Q ± d]DZ`^hfmfZevqbdm^hklZehkvPQ fZjhdIjbP Q PQ fZjhdIjbP Q PQ fZjhdg_^_eylkyihjh\gm I_jbf_ljijyfhm]hevgh]hmqZkldZjZ\_gJ ˜ DE]^_Z ±^ebgZmqZkldZE±rbjbgZmqZkldZZIjbZ fE fJ ˜ ˜ f[IjbZ o fE fJ ˜ o f\IjbZ fE m fJ ˜ mf]IjbZ m fE o fJ ˜ m of ZIjbZ IjbZ [Ijbo Ijbo \IjbZ E IjbZ E Z Z ±o ± ±o ± ZE± ± ± ZE± ± ± Z EF DEF DEF²khq_lZl_evgh_k\hckl\hkeh`_gbyijbZ E F Z EF Z EF Z EF Z ±EF Z ±E±F±k\hckl\h\uqblZgbykmffubaqbkeZijbZ E F Z ±EF ± ± Z ±E± F ±± ± Z E±F Z E± F Z ±kE±k\hckl\h\uqblZgbyqbkeZbakmffuZijbZ E F Z E±F ± ± Z ±kE ± [ijbZ E F Z E±F ± ± Z E± F ± JZkklhygb_:KjZ\ghkmff_jZkklhygbc:<b <K ZP P P[Q Q Q\o o o ]m m m ZP P PijbP P [Q Q QijbQ Q \N N NijbN N ]j j Nijbj j Z±m ± ±m ±m[P±± P± P±Z±o ±o ±±o ±o[±P± P ±P ± ±P ±PZP± ±P ±P[Q± ±Q Q\E± E± E]Z ± Z ± Z ^± N N ± NH[± [± [DD±± D±± D±ijbZ Z ± ± [E± E± EijbE E \k k k ijbk k ijbk k ]G± G± GijbG G ijbG G Z:< :K&''& [ff offijbo o ffijbo o ff[:K :<±&''% ±m ± ±m ±mffijbm ±m ± ffijbm ±m ± ff<h\lhjhc^_gvlhdZjvba]hlh\beE^_lZe_c\ lj_lbc^_gv²±^_lZe_cAZljb^gyhgba]hlh\beE E^_lZe_cIjbE E ^_lZeb ijbE E ^_lZebD ˜ [ ˜ \ ˜ ] ˜ ^ ˜ Z± \± \± ]± Z [ Ljbihke_^h\Zl_evguo gZlmjZevguoqbkeZLjb gZlmjZevguoqbkeZ ba dhlhjuoihke_^mxsb_ gZ [hevr_ ij_^u^ms_]h\Ljb gZlmjZevguoqbkeZ ba dhlhjuoihke_^mxs__ \ jZaZ [hevr_ ij_^u^ms_]h Zemqb hlj_ahdy\eyxlkyqZklvxijyfhcghhlj_ahdh]jZgbq_gk h[_boklhjhgZ emqlhevdhk h^ghc[ijyfZy[_kdhg_qgZZ emqbf__ldhg_pohlylhevdhk h^ghcklhjhgu ZkmffZm\_ebqblkygZ[kmffZm\_ebqblkygZ \kmffZg_baf_gblky]kmffZm\_ebqblkygZ\_ebqbgmwlh]hkeZ]Z_fh]h IehsZ^vd\ZjlbjujZ\gZZ Z fIjbZ Z fIjbZ Z f < lj_lv_fZev[hf_kh^_j`blky±m ±m fZjhdIjbm ± m ± fZjhdijbm ± m ± fZjhd AZ^\Zf_kypZbajZkoh^h\Zebo o lk_gZZ \kZjZ_hklZehkv± o ± o lk_gZIjbo ±o ± lijbo ±o ± lijbo ±o ± l k_gZ Z± [o ± Z˜± [˜ Kdhjhklv k[eb`_gby \_ehkbi_^bklZ b i_r_oh^Z jZ\gZ dfqQ_j_aq hgbk[ebaylkygZ˜ dfb f_`^mgbfb[m^_l± dfQ_j_aq hgbk[ebaylkygZ˜ dfb f_`^mgbfb[m^_l± dfQ_j_aq hgbk[ebaylkygZ˜ dfl_q_j_aq hgb\klj_lylky ZP P P[Q±± Q± Q±\± ±N ±N]±W± ±±W ± W D±S ±S ±Sijbj ±j ± ijbj ±j ± [±O ± ±±O ±OijbO ± ijbO ± GZ ijhoh`^_gb_ ljZkku fhlh]hgsbd aZljZlbe Q±Q ±QF_dmg^IjbQ ± FijbQ ±± FijbQ ± FijbQ ± F I_jbf_ljlj_m]hevgbdZjZ\_g±o oo kfIjbo kfijbo kf ImlvlmjbklZjZ\_g df =hjh^K_ehAZq i_r_oh^ijhc^_l˜ dfaZq ±˜ dfaZq ±˜ dfaZq ±˜ dfQ_j_aq ihke_\uoh^Zba]hjh^Zhgijb^_l\ k_eh Z˜ ± ˜ ihwlhfm! ˜ ±[ ihwlhfm Z±± ± ± [ \±˜ ± ±˜ ± ]˜ Zo o ±o [m m ±m \± ] ] ±] ]P± P P ^±Q Q ±Q HS± S S ;m^_f h[hagZqZlv q_j_a o g_ba\_klgmx \_ebqbgm Lh]^Z kijZ\_^eb\umjZ\g_gbyZo o ±o Hl\_l]jb[h\[o ± o o Hl\_lo f_ljZ\o o ±o Hl\_lfbgml]±o o ±o Hl\_lq_eh\_d^o ± o o Hl\_lo dfq_o o ±o Hl\_le_l o o ±o Hl\_lffZkihkh[o o ±o ±o kihkh[o o o ±o Hl\_l[kihkh[m± m m ± m kihkh[m± m m ± m Hl\_l Zo ± o o ±o Ijh\_jdZ± ± Hl\_l[o± o o ±o Ijh\_jdZ± ± Hl\_l\± m ± m m ± o Ijh\_jdZ± Hl\_l]m ± m ± m m Ijh\_jdZ± Hl\_l^± o ±o o ±o Ijh\_jdZ± ± Hl\_l_± o ± o ± ±o o Ijh\_jdZ±± ± Hl\_l ;m^_fh[hagZqZlvg_ba\_klgmx\_ebqbgmq_j_a o Lh]^Z fh`gh khklZ\blvmjZ\g_gbyZo o o ±o Hl\_l[o ± o o ±o Hl\_l\o ± o o ±o Hl\_le]±o ±o o ±o Hl\_lf Zo o o ± [m m m ± \QQ± Q]PP± P± D± [± \o o ]m m ^±o o _±Y Y Z [± \o ± o ]±o o D ˜ ˜[ ˜ \ ˜] ˜ ^ ˜ ZE_\__lhqdb? jZkiheh`_gul: gZ_^bgbpl< gZ_^bgbplH gZ_^bgbpu[ijZ\__lhqdb: jZkiheh`_gul? gZ_^bgbpl'gZ_^bgbplK gZ_^bgbp\f_`^mlhqdZfb< b 'jZkiheh`_gul: b l? ZKj_^g__ qbkeh jZ\gh m^\h_gghckmff_djZcgboqbk_e Z! [![Kj_^g__ qbkeh jZ\gh ihemkmff_djZcgboqbk_e\!]g_evaykjZ\gblvk Zq fbg fbg [l p p \kf ff ff >eyijb]hlh\e_gbyaZ\ljZdh\bajZkoh^h\Zeb e fhehdZihke_wlh]h\ [b^hg_hklZehkv± e fhehdZ>eyijb]hlh\e_gbyh[_^h\bajZkoh^h\Zeb e fhehdZ\ [b^hg_hklZehkv± e fhehdZ « « ˜ ˜ ±ijh\hehdbo\ZlblgZh[jmq_c Z± ±± ± [± ± \± ± ]± ± ^± ± _± ±± GZ]jy^d_hklZehkvN± Ndmklh\dem[gbdbIjbN N ijbN N ZE± E± EijbE E ijbE [k± k ± k ijbk k ijbk \±o± ±±o ±oijbo ±o ± ijbo ]±Z ±±Z ±ZijbZ ±Z ± ijbZ E k ±o ± ±Z ± ˜ ˜ ± ± ±˜ ± ˜ ˜ ± ˜ Zo o ±o Hl\_l[] ] ±] Hl\_l\±m m ±m Hl\_l]W± W W Hl\_l^ P±P P Hl\_lH ± NN ±N Hl\_l Zo ±± o ± o o Ijh\_jdZ±± ± Hl\_l[± m ±m m ± m Ijh\_jdZ± ± Hl\_l ;m^_f h[hagZqZlv q_j_a o g_ba\_klgmx \_ebqbgm Fh`gh khklZ\blvke_^mxsb_mjZ\g_gbyZo ± o o Hl\_lqZkh\[o ± o ±o Hl\_lq_eh\_d\o o ±o Hl\_l]jZff Fhlhpbdebklm hklZehkv ijh_oZlv ±Z df Ijb Z ±Z ±± dfIjbZ ±Z ± dfIjbZ ±Z ± df ;m^_fkqblZlvqlh[mluedZnjmdlh\hc\h^uklhbljm[e_cZ imklZy[mluedZklhbldhi__dGZihdmidm[mluehd\h^uihljZlbeb˜ jm[e_cZ aZk^Zggu_[mluehdihemqbeb˜ dhi__dAgZqblijbrehkv^hieZlblvjm[±dhi ± dhi__d jm[e_cdhi__d >eyjZaeb\ZkhdZihlj_[h\Zehkv± lj_oebljh\uo[Zghd FZkkZ ysbdZ y[ehd jZ\gZ p d] d] d] fZkkZysbdZ]jmr±p d] d] d]Ke_^h\Zl_evghfZkkZysbdZy[ehdgZ± d][hevr_fZkkuysbdZ]jmr Z ± ± [˜ ± ± Z ˜ \o o o o o o ˜ o[ ˜ Z˜ [Z ˜ Z Z Z Z Z Z\o m˜ o mo mo mo m]NP˜ NPNP ˜ ˜ ˜ ˜ ˜ ˜ GZj_r_gb_mjZ\g_gbc;hjbkaZljZlbe˜fbgk ˜k kfbg K< ˜ kf:< kf :< ˜ kf f kf< h[hboysbdZo˜ d]ihfb^hjh\ K_j_`_ e_l_]hhlpm˜ e_l Z˜ [ ˜ \˜ ]˜ ^˜ _˜ `˜ a˜ b˜ d˜ e˜ f˜ g˜ h˜ i˜ j˜ Z ˜ [ ˜ ˜ \ ˜ ] ˜ ˜ Z u [ u Z˜ ˜ ˜ ˜ ˜ [˜ ˜ ˜ ˜ ˜ \˜ ˜ ˜ ˜ ˜ ]˜ ˜ ˜ ˜ ˜ Z˜ ˜ ˜ [˜ ˜ ˜ \˜ ˜ ˜ ]˜ ˜ ˜ kihkh[< ysbdZogZoh^blky˜ dhjh[hdZ \dhjh[dZo˜ lx[bdh\k djZkdZfbkihkh[< dhjh[dZogZoh^blky˜ lx[bdh\k djZkdZfbZ \ysbdZo˜ lZdbolx[bdh\ AZ^_gvklheyjk ihfhsgbdhf^_eZxl jZfmQ_j_a^gyjZ[hlubfhklZg_lkyk^_eZlv±˜ ± jZfq_j_a^gyjZ[hlu²±˜ ± jZfuq_j_a^g_cjZ[hlu²±˜ ± ²aZ^Zgb_[m^_l\uiheg_gh GZihdjZkdmhdgZlj_[m_lky± ] [_ebeAgZqbl^eyihdjZkdbhdhgb ^\_j_clj_[m_lky˜˜ ] d][_ebe Z@beZyiehsZ^vdhll_^`_cjZ\gZ˜ ˜ f[FZkkZimklh]hdhgl_cg_jZjZ\gZ± ˜ ± d] Z H[sZy fZkkZ ijb\_a_gguo y[ehd [ gZ kdhevdh [hevr_ ijb\_aebysbdh\ y[ehd q_f ysbdh\ ]jmr \ h[sZy fZkkZ ijb\_a_gguo ]jmr ] gZkdhevdh d] [hevr_ \_kbl ysbd ]jmr q_f ysbd y[ehd ^ h[sZy fZkkZijb\_a_gguonjmdlh\_gZkdhevdh[hevr_d]ijb\_aeby[ehdq_f]jmr Z±˜ ˜ [˜ ±˜ ± \˜ ˜ ]˜ ˜ ˜ ^±˜ ˜ _±˜ ˜ Z˜ o[Z˜ \± P˜ Q]Z E˜ P ZP˜ Q [˜ Z E\˜ o ˜ m]Z ±E˜ F ZIjhba\_^_gb_qbkeZZ bkmffuqbk_ek bG[Ijhba\_^_gb_qbkeZb jZaghklbqbk_eb Z\mljh_ggZykmffZqbk_e Pb Q]m^\h_ggZyjZaghklvqbk_ePb Q^kmffZijhba\_^_gbyqbk_eZ bEb qbkeZk_jZaghklvqbkeZPb ijhba\_^_gbyqbk_ek bG ZIjbZ ijbZ [ijbE ijbE Z ˜ Z ˜ E ˜ E ˜ AZwlh\j_fy\_ehkbi_^bklijh_oZe˜ Z ˜ Z dfIjbZ Z ˜ dfijbZ Z ˜ dfijbZ Z ˜ df Z<ukhlZrdZnZjZ\gZ˜ o kfijbo ˜ o ˜ kfijbo ˜ o ˜ kf[AZNj_ckh\fZrbgZi_j_\_a_l˜Nl ]jmaZIjbN ˜ lijbN ˜ lijbN ˜ l <ujZ`_gb_ o khhl\_lkl\m_l klhbfhklb \he_c[hevguo fyq_c m ±klhbfhklb[Zkd_l[hevguofyq_co m ±klhbfhklb\he_c[hevguob [Zkd_l[hevguofyq_co ±m ±jZaghklbklhbfhklb\he_c[hevguob [Zkd_l[hevguofyq_co m±klhbfhklb\he_c[hevguob [Zkd_l[hevguofyq_c ˜  ˜ lZddZdbao ijhba\_^_gbcgZlmjZevguoqbk_e\ dhlhjuo h^bg ba khfgh`bl_e_c h^bgZdh\uc [hevr_ lh ijhba\_^_gb_ \ dhlhjhf\lhjhcbakhfgh`bl_e_c[hevr_Z  Ihkdhevdm b  l_ dZ`^uc ba khfgh`bl_e_c h^gh]h ijhba\_^_gby f_gvr_ khhl\_lkl\mxs_]hkhfgh`bl_ey\lhjh]hijhba\_^_gbylh˜  ˜ ˜  ˜  ˜  ˜  ˜  ˜ Z˜  ˜  ˜ [˜  ˜  ˜ \ ˜  ] ˜  Z ˜ [ ˜ \ ˜ ] ^ ˜ ZKj_^g__ qbkeh jZ\gh jZaghklbe_\h]hb ijZ\h]hqbk_e[Kj_^g__ qbkeh jZ\gh qZklghfmhl ^_e_gby e_\h]h gZ ijZ\h_qbkeh Zo o o [m m m m \Z Z ±Z g_kms_kl\m_l Zo o [± o oo \o ±oo ]o o ±o ±± ±±«±± ± ±±±±± ± ± ±±«±± ±±± ± ±˜ ± Zm ± m m ± m Hl\_l[m ± m m ± m Hl\_l\±m ± ±m m ±m Hl\_l]m m m ±m Hl\_l ZZ Z [E E \± k k ]±G G ^P _± Q `N±N aOO P Q N±ex[h_qbkehO ZImklv\ dhjabg_[ueho ]jb[h\Lh]^Zihmkeh\bxo ± o ±o Hl\_l]jb[[Imklvo fZjhddmibefZevqbdLh]^Zihmkeh\bxo ± o o Hl\_lfZjhd P± P± PQ± Q± Q[± [± [m ± m ± m ± ± ± Z ˜ [ ˜ ˜ Z˜ [N˜ NNNNNNNN \o m˜ o mo mo mo m]Z ±E˜ Z ±EZ ±EZ ±EZ ±EZ ±E FZkkZ\k_]hi_q_gvyjZ\gZ˜˜ ˜ ] l d] <K kf:K J:<K ±:<<K ± ± kf H[s__ qbkeh ba]hlh\e_gguo ^_lZe_c [m^_l jZ\gh ˜ ˜ ^_lZe_c Z˜ [˜ \˜ ]˜ ^˜ _˜ `˜ a˜ Q_j_aq f_`^mih_a^Zfb[m^_l˜ ˜ df GZh[jZlghfimlbkdhjhklv\_ehkbi_^bklZ[m^_ljZ\gZ dfqhgaZljZlbl˜ q Z˜  ˜ [˜  ˜ ˜  ˜  ˜  ˜  ˜  ˜ Z˜ ±± ˜ [±˜ ˜ Zo ± o ± o o ±o [±m ±±m ±m m ± m \]±± ]± ]± ] ] ]±W W ±W W ±W Zo ˜ o o Hl\_lijbo [˜ m m m Hl\_lijb m Z [ \ G_kms_kl\m_llZdh]hqbkeZQqlh˜ Q >_eblvgZg_evay JZ\_gkl\h˜ P \_jghijbex[hfagZq_gbbPl_^Zggh_mjZ\g_gb_bf__l[_kdhg_qghfgh]hj_r_gbc<ujZ`_gb_ g_bf__lkfukeZ K lj_o mqZkldh\ [ueh kh[jZgh lir_gbpu Kdhjhklvih_a^ZjZ\gZ dfqkdhjhklvZ\lh[mkZjZ\gZ dfq Ke_^h\Zl_evgh kdhjhklv Z\lh[mkZ \ jZaZ f_gvr_ kdhjhklbih_a^Z IhieZgmaZ\h^^he`_g[ue_`_^g_\gh\uimkdZlv klZgdZ Z gZ kZfhf ^_e_ ba]hlZ\eb\Zehkv klZgdh\ Ihwlhfm ieZg[ue\uiheg_gaZ ^g_c Z ˜ Z [ \ ] ^ _ Z ] Z o[ ˜ ` a b d e f [o^o m\Z _Z ED±E ZQZklgh_qbk_eb Z[qZklgh_\ujZ`_gbyo iexk m b qbkeZ \ qZklgh_\ujZ`_gbcZ iexk Eb ofbgmkm]qZklgh_\ujZ`_gbyo iexkmb qbkeZP Z>_ebfh_^_ebl_ev±[^_ebfh_±Z^_ebl_evP\^_ebfh_o m^_ebl_evP]^_ebfh_o^_ebl_evm ± <ujZ`_gb_ m o ihdZau\Z_l \h kdhevdh jZa p_gZ iZju kZih] [hevr_p_gu iZju [hlbghd <ujZ`_gb_ m o ihdZau\Z_l \h kdhevdh jZa p_gZ\hkvfbiZjkZih][hevr_p_guiZju[hlbghd<ujZ`_gb_o m ihdZau\Z_lklhbfhklvh^ghciZju[hlbghdb lj_oiZjkZih] Zm o Zoo Z[m Z ZoZ o\o ˜ Z m H[s__\j_fyjZ[hlu^eyjZ[hqbojZ\gh˜ ˜ qAZq jZ[hludZ`^ucba]hlZ\eb\Ze jZfuIhwlhfmjZ[hqbcba]hlh\be˜ ˜ jZfjZ[hqbcba]hlh\be˜ ˜ jZfu H[s__ qbkeh ih]jm`_gguo f_rdh\ jZ\gh rlmd <k_]h[uehih]jm`_gh± d]ir_gbpuihwlhfmdZ`^uc f_rhd \_kbe d]GZi_j\mxfZrbgmih]jmabeb˜ d] l pir_gbpu Z [± \ ] ˜ ± ± Zo o o Hl\_l[m ˜ m m Hl\_l\] ] ˜ ] Hl\_l] Y Y Y Hl\_l ZZ Z [P P \ Q Q ]j j ^N N HOO O ±ex[h_qbkehdjhf_˜ ˜ o o ±o o Hl\_lkf Z] ] ±] ] Hl\_l[W W ±W W Hl\_l\m ± m m m Hl\_l]±U U ±U U Hl\_l ZImklvo d][_ebekh^_j`Zehkv\ dZ`^hc[Zgd_lh]^Z^eyhdjZkdbihlj_[h\Zehkvo d]djZkdbb [_ebeIhmkeh\bxo o ±o o Hl\_ld][_ebe[imklvo fZrbg [ueh \u^_e_gh lh]^Zhgb i_j_\_aeb o l m]ey Ihmkeh\bxo o ±o o Hl\_lfZrbg Zo ±˜ o ± o o Hl\_l] m ± m ± m m Hl\_l[˜ ] ] ] ±] Hl\_l^o [ ±[ [ Hl\_l\m m ˜ m ±m Hl\_l_ ] ] ±] ] Hl\_l o o ±o o o Hl\_l ZImklvaZ^mfZghqbkehmLh]^Zihmkeh\bxaZ^Zqbm± mm ˜m [Imklv[ueho [Zghdlh]^Z\ dZ`^hc[Zgd_hdZaZehkvo d]djZkdbIhmkeh\bxo o ±o o \Imklv[ueh]Z\lh[mkh\lh]^Z\ dZ`^hfgZoh^behkv]iZkkZ`bjZIhmkeh\bx] ] ±] ] Z [ \o o ]m m ^P P ˜ HS S ˜ `N N aW Z ^k k [˜ _ P P \Z Z ˜ `] ] ]E E ˜ aN N ZPPP± ˜ Z ˜ [ ˜ Z˜ ˜ ˜ \˜ ˜ ˜ [QQQ± ˜ \ ˜ ] ˜ ^ ˜ [˜ ˜ ˜ GZbf_gvr__q_luj_oagZqgh_qbkehjZ\ghihwlhfm˜ b Z˜ Z ZZ Hl\_l[]] ]˜ ]] beb] Hl\_l\m ˜ m \ Hl\_l WlhqbkeZ ˜ ˜ Imklv\h^\hj_o i_lmoh\lh]^ZdmjoZ mlhd± oo ±o< ihke_^g_fjZ\_gkl\_o fh`_lijbgbfZlvlhevdhagZq_gb_o ihwlhfm\h^\hj_±˜ mlhdZZ E˜ Z EZ EZ E[Z ±P˜ Z ±PZ ±PZ ±PZ ±PZ ±P\om˜ omomomomomom Zo ˜ Z Zo m˜Z EZZ [PQ˜ D±E[E±[˜[±\\˜Z˜o˜m E]˜P˜Q˜N <k_]h[uehih]jm`_gh˜ P˜ Qp\_lguodZjZg^Zr_cZijbP Q PQ ˜ ˜ ˜ dZjZg^Zr_c[ijbP Q PQ ˜ ˜ ˜ dZjZg^Zr_c Zo ± o o ±o Hl\_l[±] ± ] ] ±] Hl\_l\m± m m ±m Hl\_l]V± V Hl\_l o ± [ ±[ ±\ \ ±\ ±±P P ± P ±Q± Q ±Q FZkkZdblZjZ\gZl d]l d] d]l d] AZf_kypZ\uimklbeb \_ehkbi_^h\ :K kfff ± ff ff<K ˜ ffJ:<K ff kfff Kdhjhklv:g^j_yjZ\gZ˜ fkkdhjhklvGbdheZy jZ\gZ ˜ fk Kdhjhklv GbdheZy [hevr_kdhjhklb:g^j_ygZ± fk <_jlhe_lijhe_l_e˜ ˜ fdffImklvo kf^ebgZhlj_adZK<ihmkeh\bxo ˜ o ±o Hl\_lkfihmkeh\bxo ˜ o ±o Hl\_lkf ˜ ± ± ± ±˜ ˜ Kdhjhklvih_a^ZjZ\gZ dfq >ebl_evghklvh^gh]hk_ZgkZjZ\gZq fbg fbg I_j\ucaZ\h^\uimkdZ_l\ ± jZaZ[hevr_gZbf_gh\Zgbcba^_ebc Z [ Z˜ Z \ ] [ P±Q\kG± I_j\ucwdkdZ\Zlhj\ugbfZeaZq f a_feb<lhjhcwdkdZ\Zlhj\ugbfZ_l f a_febaZqihwlhfmaZq hg\ug_l˜ f a_feb ?`_^g_\ghh[_[jb]Z^uaZ]hlZ\eb\Zeb l kbehkZb aZljZlbebgZ_]haZ]hlh\dm ^gyAgZqbl[jb]Z^ZaZ]hlh\beZ˜lZ [jb]Z^ZaZ]hlh\beZ˜ l kbehkZ GZba]hlh\e_gb_^_lZebjZ[hqb_aZljZlbeb\k_]h ˜˜ qKe_^h\Zl_evghaZq hgbba]hlZ\eb\Zeb ^_lZe_cIjbwlhfjZ[hqbcba]hlh\be˜ ^_lZebjZ[hqbcba]hlh\be˜ ^_lZe_c ˜ :<:< ± kf ff ffkfff IjbN N ± ± ± Qbkehy\ey_lkydhjg_fmjZ\g_gbyN ± Zo [ [ Hl\_l[ m m m Hl\_l\] ] ˜ ] Hl\_l]E˜ E E Hl\_l^j ± j ± j j Hl\_l_± V˜ ±V V ±V Hl\_l Imklvo d]fZkkZh^gh]hiZd_lZfmdbLZddZd\_kugZoh^ylky\ jZ\gh\_kbblhkijZ\_^eb\hjZ\_gkl\ho ˜o ±o o Z± [±± \ ]±˜ ˜ ^±˜ ˜ _ ˜ ± ˜ ˜ FZkkZ[he\ZghdjZ\gZ˜ ˜ d]AgZqblba[he\Zghdfh`ghhleblv^_lZe_cb d]qm]mgZhklZg_lky LZddZd ˜ lhbaf ihehlgZfh`ghkrblvih^h^_yevgbdZb f ihehlgZhklZg_lky H[sZyfZkkZ^_lZebihd]dZ`^ZyjZ\gZ˜ d]LZddZd ˜ lhgZhleb\dmwlbo^_lZe_cihlj_[m_lky[he\ZgdZihd]b d]qm]mgZhklZg_lky>_ebfh_>_ebl_evG_ihegh_qZklgh_HklZlhd Z ˜ [ ˜ \ ˜ ] ˜ ^ ˜ _ ˜ ` ˜ a ˜ b ˜ LZddZdijb^_e_gbbhklZlhdf_gvr_^_ebl_eylhijb^_e_gbbgZhklZlhdfh`_l[ulvjZ\_gbebijb^_e_gbbgZ±ijb^_e_gbbgZ± bebex[h_gZlmjZevgh_qbkeh f_gvr__ ijb ^_e_gbbgZ± bebex[h_gZlmjZevgh_qbkehf_gvr__ Z˜ g_ihegh_qZklgh_hklZlhd[˜ ±^_ebfh_g_ihegh_qZklgh_hklZlhd\˜ ±^_ebfh_g_ihegh_qZklgh_hklZlhd Z ˜ [ ˜ ˜ ˜ Z Z [[ \ ˜ Z˜ ˜ ˜ [˜ ˜ ˜ Z˜ [ ] ^ ˜\˜ ˜ ˜ ]˜ ˜ ˜ \ ˜ ˜ ]˜ ˜ ˜ KZfh_fZe_gvdh_iylbagZqgh_qbkehm dhlhjh]h\k_pbnjuaZibkbjZaebqgu _klv KZfh_ [hevrh_ iylbagZqgh_ qbkeh m^h\e_l\hjyxs__wlhfmmkeh\bx_klv:< <KK\_lhlKhegpZ^hA_febb^_l k fbgk>ey ij_h^he_gby lZdh]h jZkklhygby jZd_lu ihgZ^h[blky k | kmlhd AZkmlhdjZ[hlujh[hlba]hlh\bl˜˜˜ ^_lZe_c AZ^g_cbadjZgZ\ul_q_l˜ \hkvfbebljh\uo\_^_j\h^u ± ± ± ± ± ± ± omo mHl_p[ueklZjr_kugZkhhl\_lkl\_ggh\ b jZaZKug[uefheh`_hlpZkhhl\_lkl\_ggh\ b jZaZ Z ˜ [ ˜ \ ˜ ] ˜ Zm m ± m Hl\_l[o o o ±o o o Hl\_l\] ±] ] ] Hl\_l]P± P P P Hl\_l^j ± ± S S S S Hl\_l LZddZd ˜ lh^eyi_j_\hadbl a_jgZihlj_[m_lky\Z]hgh\\f_klbfhklvxihl±g_ihegh_qZklgh_b _s_gm`_g\Z]hgm\_albhklZlhd\ l blh]h \Z]hgh\?keb\Z]hg\f_sZ_lllh ˜ \Z]hgh\Ihlj_[m_lky\Z]hgh\Z˜ [˜ \˜ < rdhe_[ueh ± \uimkdgbdh\ ZP±Q[Z ±E±\m ˜ o ]]± ] Z ± ± [˜ ˜ ± ˜ ± ˜ IhdmidZ\_kbl˜ ˜ ] d]]Dmie_ggu_qZrdbe_]q_dmie_gguo[ex^_pgZ±˜ ˜ ]AZ\k_\j_fy^\b]Zl_evbajZkoh^h\Ze˜˜ ˜ ˜ elhieb\Z< i_j\hciheh\bg_^gy[uehbajZkoh^h\ZghgZ˜±˜ ˜±˜ e lhieb\Z[hevr_q_f\h\lhjhciheh\bg_^gy Z˜ ˜ ˜ ˜ [˜ ˜ ± ˜ ±˜ ± \˜ ˜ ˜ ˜ ]˜ ±˜ ˜ ± ˜ ± ^˜ ˜ ˜ ˜ _˜ ±˜ ± ˜ ± `˜ ˜ ˜ ˜ a˜ ˜ ˜ ˜ b˜ ˜ ˜ d˜ ˜ ± ˜ ±˜ ± Z˜ ˜ ˜ ˜ [˜ ±˜ ±˜ ˜ \˜ ˜ ˜ ˜ ]˜ ± ˜ ±˜ ˜ ^˜ ±˜ ±˜ ˜ _˜ ˜ ˜ ˜ ZZ˜ ˜ Z ˜ Z[E±˜ E˜ ± ˜ E± \±o ˜ ±˜ o ±o]m ˜ ˜ m m Zo o ± kijZ\_^eb\hijbex[hfo[o o o o o o±ex[h_gZlmjZevgh_qbkehbeb\o˜ ˜ ˜ ± kijZ\_^eb\hijbo ]o ˜ ˜ ˜ ± kijZ\_^eb\hijbo ^±o o ±o ±kijZ\_^eb\hijbex[hfo_± o o ±˜ ±kijZ\_^eb\hijbo ZZ Z Z[m m m\o o o]m m m^j ±j j_E±E E`O ±O OaN±N N <ujZ`_gb_Z ±EhagZqZ_lkmffmklhbfhklbd]fmdbb d]kZoZjZ[\ujZ`_gb_Z EhagZqZ_lklhbfhklvd]fmdbb d]kZoZjZ\\ujZ`_gb_E±DhagZqZ_ljZaghklvklhbfhklbd]kZoZjZb d]fmdb Q_j_a q f_`^m \_ehkbi_^bklZfb [m^_l jZkklhygb_ P QPQdfZZ Z ZIjbZ Z ˜ ijbZ Z ˜ [E±E EIjbE E ˜ ijbE E ˜ Zo m o m_kebo m o m ˜ [P±Q P±Q_kebP Q P±Q ± ˜ Zo o [ [ Hl\_l[m ±\ m m Hl\_l\]] ] ] Hl\_l]N±N N N Hl\_l^O O O O O Hl\_l_WWW W W Hl\_l Zo ±o o o Hl\_l[j ±j j j Hl\_l\Z Z Z Z Hl\_l]k ±k k k Hl\_l Zo o o o Hl\_l[m ±m m m Hl\_l\]±] ] ] Hl\_l]±P P P Hl\_l^ Q Q Q Hl\_l_j j j Hl\_l o o o o o Hl\_lkf ˜o o o o o Ijbo o ˜kfo ˜ kfHl\_lkfb kf ZZ Z Z [NN N Zo o [ ±[ [ Hl\_l[m ±m m ±\ \ Hl\_l\]]± ] ] ] Hl\_l]W±W± W W W Hl\_l Z˜˜N N[˜j˜ ˜j j Z˜ ˜ o o o [m ˜ ˜ \ \ \˜ ˜ j j j ]P˜ ˜ P P \U˜˜ U˜ U ImklvaZ^mfZghqbkeholh]^Zihke__]hm\_ebq_gbygZb mfgh`_gbyj_amevlZlZgZihemqblkyqbkeho ˜ Ihmkeh\bxo ˜ o o ±o Hl\_lImklvo d]dZjlhn_ey kh[jZeb ihke_ h[_^Z lh]^Z o d] dZjlhn_ey kh[jZeb^hh[_^ZAZ^_gvkh[jZebo od]dZjlhn_eyIhmkeh\bxo oo o d]Hl\_ld] Imklvdmibebm klheh\lh]^Zklmev_\dmibebm\k_]hdmie_ghm mklheh\b klmev_\Ihmkeh\bxm m m m DmibebklheZb ˜ klmev_\Hl\_lb Imklv o f iehsZ^v dmogb lh]^Z iehsZ^v dhfgZlu o f JZaghklviehsZ^_c dhfgZlu b dmogb jZ\gZ o ± o f Ih mkeh\bx o ± o o o Hl\_lf Imklv]ff^ebgZhlj_adZF<lh]^Z^ebgZhlj_adZ:F]ffJZaghklv^ebgwlbohlj_adh\jZ\gZ] ±]ffIhmkeh\bx]±] ] ] >ebgZhlj_adZF<jZ\gZff^ebgZhlj_adZ:FjZ\gZ˜ ff^ebgZhlj_adZ:<jZ\gZ ffHl\_lffff bff ImklvfZkkZh^ghcqZklbfmdbbebhljm[_cjZ\gZo d]lh]^ZfZkkZihemqb\r_ckyfmdbjZ\gZo d]Z fZkkZhljm[_co d]Ihmkeh\bxo oo o FZkkZh^ghcqZklbfmdbjZ\gZd]Z fZkkZ\k_cfmdb˜ d]Hl\_ld] ImklvfZkkZh^ghcqZklbkhklZ\ZjZ\gZ m ]lh]^Z^ey_]hijb]hlh\e_gbygZ^h\aylvm \h^um ]kibjlZm ]f_eZIhmkeh\bxm m mm m FZkkZh^ghcqZklbjZkl\hjZjZ\gZ]ihwlhfm^eyijb]hlh\e_gby] jZkl\hjZgZ^h\aylv˜ ] \h^u˜ ] kibjlZb ˜ ] f_eZHl\_l]] b] ImklvfZkkZh^ghcqZklbkf_kbjZ\gZo d]lh]^Z^ey__ ijb]hlh\e_gbygZ^ho d]i_kdZo d]kh^ub o d]ba\_klbIhmkeh\bxo o oo o FZkkZh^ghcqZklbkf_kbjZ\gZd]ihwlhfm^eyijb]hlh\e_gbyd]kl_deZgZ^h˜ d]kh^uHl\_ld] Imklv fZkkZ h^ghc qZklb kf_kb jZ\gZ N d] lh]^Z ^ey ijb]hlh\e_gbyfhjh`_gh]h gZ^h N d] \h^u N d] `bjZ b N d] kZoZjZ Ih mkeh\bxNNN N N FZkkZh^ghcqZklb kf_kb jZ\gZd]ihwlhfm^eyijb]hlh\e_gbyd]fhjh`_gh]hgZ^h˜ d]kZoZjZHl\_ld] Imklvo ^hfh\[uehgZh^ghcklhjhg_mebpulh]^Zo ^hfh\[uehgZ^jm]hcklhjhg_Ihke_ihkljhcdb^hfh\\k_]hgZmebp_klZeho o ^hfh\Ihmkeh\bxo o o ±o o GZh^ghcklhjhg_mebpu[ueh^hfh\gZ^jm]hcklhjhg_˜ ^hfh\Hl\_l^hfh\b ^hfh\ Khhl\_lkl\mxs__mjZ\g_gb_bf__l\b^o o o Z ˜ ˜ [ ˜ \ ˜ ] ^ ˜ Z˜ ˜ ˜ [˜ ˜ ˜ \ Z m m ±m Hl\_l[± m m ± m Hl\_l\m ± m m Hl\_l] ± o o ±o Hl\_lZo ± ±o Hl\_l[m m Hl\_l\Z ˜ Z Hl\_l Qbkehihemqblkyijbkeh`_gbbqbk_ejZ\guoIjb\uqblZgbbh^bgZdh\uo qbk_e ihemqblky qbkeh Ijb mfgh`_gbb ijhba\_^_gb_ jZ\gh _kebohly[uh^bgbakhfgh`bl_e_cjZ\_gQZklgh_jZ\gh_keb^_ebfh_jZ\gh KmffZ iylb gZlmjZevguo qbk_e jZ\gZ bo ijhba\_^_gbx _keb qZkZjZ\gub qbkeZjZ\gu b ˜ ˜ ˜ ˜ KZrZj_rbe\ i_j\uc^_gvaZ^Zqb\h\lhjhc^_gvaZ^Zq\ lj_lbc^_gvaZ^Zqb \q_l\_jluc^_gvaZ^ZqlZddZd    b ˜ ˜ ˜ ˜ Zo o ˜ o Hl\_l[ m ± m m Hl\_l\]˜ ] ] Hl\_l]j j ˜ j ±j Hl\_l^ ±N ±N N ±N Hl\_l_±O˜ ±O O ±O Hl\_l ImklvfZkkZ[ZlhgZoe_[ZjZ\gZo d]lh]^ZfZkkZ[Zlhgh\jZ\gZo d]LZd dZd \_ku gZoh^ylky \ jZ\gh\_kbb lh kijZ\_^eb\h jZ\_gkl\h o o ± o o Hl\_ld] o o o o o >ebgZhlj_adZ<K jZ\gZ˜ kf Imklv^ebgZklhjhgu:<jZ\gZm kflh]^Z^ebgZ:KjZ\gZm kf^ebgZ<K jZ\gZm ±kfI_jbf_lj:<KjZ\_gm m m ±kfIhmkeh\bxm m m ± m m m >ebgZ:<jZ\gZkf^ebgZ:KjZ\gZ kf^ebgZ<K jZ\gZ± kfHl\_lkfkfb kf DZ`^ucmqZklgbdihemqbe˜ iZljhgh\ <lhjhc aZ]hlh\bl_ev kh[jZe ± d] ljZ\ Z lj_lbc kh[jZe± d]ljZ\ ZImklvkdhjhklv\_ehkbi_^bklZjZ\gZo dfqlh]^ZaZq hgijh_oZeo dfZ \k_]hhgijh_^_lo dfIhmkeh\bxo o ±o [ImklvkdhjhklvfhlhpbdebklZjZ\gZm dfqlh]^ZaZq hgijh_oZem dfZ \k_]hhgijh_^_lm dfIhmkeh\bx m m ±m \Imklv]iZd_lh\gZihegbebdjmihclh]^Zbaf_rdZaZ[jZeb]d]djmiub±]d]\ g_fhklZehkvIhmkeh\bx ± ] ] ± ] ]ImklvV[ZghdgZihegbebfhehdhflh]^Zba[b^hgZ\ayebVe fhehdZb±Ve \g_fhklZehkvIhmkeh\bx ± V V ± V ˜ ˜ ˜ ˜ ZZ ˜ ˜ Z Z[±E ˜ ±˜ E ±E\o ±˜ o ˜ ± ˜ o ±]m ˜ m ˜ ˜ m Z˜ ˜ ˜ [˜ ˜ ˜ \˜ ˜ ˜ ˜ ]˜ ˜ ˜ ˜ Z±˜ ˜ ± ˜ ± [˜ ± ˜ ± ˜ ± \˜ ±˜ ±˜ ˜ ]˜ ±˜ ˜ ± ˜ ZZ Z Z[E±E E\PP P]Q±Q Q ZZ Z Z Z Z Z Z Z ZijbZ Z ˜ [j ±j ±j j ±j j ±j jijbj j ˜ Zo o o [ Hl\_l[m ±m m m Hl\_l\]±] ] ] Hl\_l]N±N N N Hl\_l]] ] ] Hl\_l df fl_^eymdeZ^dbdfimlbg_h[oh^bfh˜ j_evkh\ AgZqbl ^ey i_j_\hadb j_evkh\ ihlj_[m_lky˜ ˜ \Z]hgZ]jmahih^t_fghklvxl Imklv o e fhehdZ [ueh \ ^jm]hf [b^hg_ lh]^Z ihke_ i_j_eb\Zgby \g_fklZeho e fhehdZZ \i_j\hf[b^hg_klZeh±e fhehdZIhmkeh\bxo ± o ± o Hl\_le Imklvm hj_oh\[ueh\ ijZ\hfdZjfZg_lh]^Zm hj_oh\[ueh\ e_\hfdZjfZg_< h[hbodZjfZgZo[uehm mhj_oh\Ihmkeh\bxm m m m < ijZ\hfdZjfZg_[uehhj_oh\\ e_\hfdZjfZg_[ueh˜hj_oHl\_lhj_oh\b hj_o Imklv o f iehsZ^v deZkkghc dhfgZlu lh]^Z o f iehsZ^v aZeZIehsZ^v aZeZ gZ o ± of [hevr_ iehsZ^b deZkkghc dhfgZlu Ih mkeh\bxo ±o o o IehsZ^vdeZkkghcdhfgZlujZ\gZfiehsZ^vaZeZ˜ fHl\_lf Imklv j [Zghd Zi_evkbgh\h]h khdZ gZ kdeZ^_ lh]^Z gZ kdeZ^_ j eZi_evkbgh\h]hb j ey[ehqgh]hkhdZ<k_]hgZkdeZ^_j je khdZIhmkeh\bxj j j j GZkdeZ^_[ZghdZi_evkbgh\h]hkhdZdhlhju_kh^_j`Zl˜ e khdZHl\_le ImklvfZkkZh^ghcqZklbjZkl\hjZjZ\gZo ]lh]^Z^eyijb]hlh\e_gbyde_ygZ^ho ]\h^uo ]kibjlZb o ]dZa_bgZ H[sZy fZkkZ de_y jZ\gZo o o]ijbwlhf\h^u[m^_lbajZkoh^h\ZghgZo ±o] [hevr_q_fkibjlZIhmkeh\bxo ±o o o FZkkZh^ghcqZklbjZkl\hjZjZ\gZ]ihwlhfmihemqblky˜ ˜ ]de_yHl\_l] Imklv fZkkZ h^ghc qZklb kf_kb jZ\gZ m ] lh]^Z \brgb ihreh m ] bkZoZjZm ]IjbwlhfkZoZjZihrehgZm ±m] [hevr_q_f\brgbIhmkeh\bxm ±m m FZkkZh^ghcqZklbkf_kbjZ\gZ]ihwlhfm \brgb ihreh ˜ ] kZoZjZ ihreh ˜ ]d]]Hl\_ld]] bd]] Imklvo d]y[ehdk h^ghcy[ehgblh]^Zo d]y[ehdkh[jZebk ^jm]hcy[ehgb<k_]h[uehkh[jZgho o d]y[ehdIhmkeh\bxo o o ± o K h^ghcy[ehgbkh[jZebd]y[ehdk^jm]hckh[jZeb d]y[ehdHl\_lb d] Imklv\ bgdm[Zlhj_\u\_ebPdmjhq_dlh]^Zi_lmrdh\[ueh\u\_^_ghP±<k_]h[ueh\u\_^_ghPP±puieylIhmkeh\bxPP±± P P ;ueh\u\_^_ghdmjhqdbb ±± i_lmrdh\Hl\_lb Z˜±± ˜± ˜ [˜± ˜± ˜ \˜± ± ]± ± Lj_m]hevgbdD\Z^jZlLukyqZ:jrbgG_jZ\_gkl\hHlj_ahdDeZkkKeh`_gb_?^bgbqguc Z±± ± [±± ±± ± \˜ ˜ ˜ ˜ ] ˜ ˜ ^ ± ˜ ± _ ˜ ±˜ ˜ ± ± ` ˜ ±˜ ± a˜ ± ˜ ± ±˜ ± ˜ b˜˜±˜ ˜± ˜ d˜ ˜ ±˜ ± ±±± ± e˜±˜ ± f±˜˜± ±± Z [± ± \±± ± ± ]˜ ˜ ˜ ˜ ˜ ^˜ ˜ ˜ ˜ _˜ ±˜ ±˜ ˜ ˜ ± ˜ i_j_fgh`blvqbkeZb jZa^_eblvgZbaj_amevlZlZdhfZg^u\uq_klvj_amevlZldhfZg^u˜± ± ˜ ˜ ˜ ± ˜ Z˜ [˜±±˜ ±±˜ ˜ Z ˜ [ ˜ \ ˜ ] ˜ ˜ ^ ˜ Zo o ±o Hl\_l[m ±m ± m g_y\ey_lkygZlmjZevgufqbkehfbebHl\_lg_lj_r_gbc\ gZlmjZevguoqbkeZo\Z ± D D Hl\_l]±P P ±Pg_y\ey_lkygZlmjZevgufqbkehfbebHl\_lg_lj_r_gbc\ gZlmjZevguoqbkeZo^± k k ±k Hl\_l_N N ± N±g_y\ey_lkygZlmjZevguf qbkehfbebHl\_lg_lj_r_gbc\ gZlmjZevguoqbkeZo ?kebjZaghklvo gZlmjZevguoqbk_ejZ\gZlhh^ghbawlboqbk_eQZ ^jm]h_qbkehQHq_\b^ghqlhijbex[hfQkms_kl\m_lqbkehQ±lZdboiZj[_kdhg_qghfgh]hIjbmfgh`_gbbb ^_e_gbbkhhl\_lkl\mxsb_iZjuqbk_ebf_xl\b^QQ±lZdboiZjlZd`_[_kdhg_qghfgh]h Ex[h_ gZlmjZevgh_ iylbagZqgh_ qbkeh [hevr_ ex[h]h gZlmjZevgh]hq_luj_oagZqgh]hqbkeZZ hgh\ k\hxhq_j_^v[hevr_ex[h]hgZlmjZevgh]h lj_oagZqgh]h qbkeZ AgZqbl gZb[hevrbf ba qbk_e y\ey_lky qZklgh_ hl^_e_gby r_klbagZqgh]h qbkeZ gZ iylbagZqgh_ qbkeh Z gZbf_gvrbf ±lj_oagZqgh_qbkeh ZZ Z Z Z Z [m m m m m \Z Z Z Z Z ]±PP P Zo ±o o ±o Hl\_l[m m ± m \ Hl\_l\]±] ] ±] Hl\_l]WW± W W Hl\_l^o [ ˜ ±[ Hl\_lH N± N N Hl\_l`j ± j ˜ j Hl\_laP± P P Hl\_lbQ Q ± Q Hl\_ld±Y Y ± Y Hl\_leV± V V Hl\_lfO ± O O Hl\_l AZ^g_cdhfie_dkihemqblijb\_k˜˜ ˜ ] l Imklv \f_klbfhklv fZe_gvdh]h [b^hgZ jZ\gZ o e lh]^Z \f_klbfhklv[hevrh]h [b^hgZ o e < [hevrbo b fZe_gvdbo [b^hgZo kh^_j`blky˜ooe fhehdZIhmkeh\bx˜oo o o Hl\_le Q_j_ak f_`^mohaybghfb kh[Zdhc[m^_l±˜ ± fq_j_ak ± ˜ ± fq_j_aWF±˜Wf Imklv m GbdheZy ] hj_oh\ lh]^Z m FboZbeZ ] hj_oh\ m I_lb ]hj_oh\<k_]hm fZevqbdh\]]]hj_oh\Ihmkeh\bx]]] ] ] M GbdheZy hj_oh\ m FboZbeZ ˜ hj_oZ m I_lb˜ hj_oh\Hl\_lhj_oh\hj_oZb hj_oh\Imklvm jZdmr_dgZreZFZrZlh]^Z=ZeygZreZm jZdmr_dE_gZgZreZm jZdmr_d<f_kl_hgbgZrebmmmjZdmr_dIhmkeh\bxmmm m m FZrZgZreZjZdmr_d=ZeygZreZ˜ jZdmr_dE_gZgZreZ˜ jZdmr_dHl\_ljZdmr_djZdmr_db jZdmr_dGZclbjZaghklvqbk_eb J_amevlZl^_ckl\bymfgh`blvgZJ_amevlZl^_ckl\byjZa^_eblvgZD j_amevlZlm^_ckl\byijb[Z\blvqbkehHlj_amevlZlZ^_ckl\by\uq_klvqbkeh ˜ ± ± ˜ ± ± ± ± ˜ ˜ ˜ ±˜ ± GZclb kmffm qbk_e b GZclb ijhba\_^_gb_ qbk_e b <uq_klvj_amevlZldhfZg^ubaj_amevlZlZdhfZg^u Zo o o ± o Hl\_l []±]± ] ] Hl\_l\m m m ± m Hl\_l]P±P± P P Hl\_l^ o o ±o Hl\_l_j S ±˜ S Hl\_l` m ±m Hl\_laN N ±N Hl\_l Z [ \ ] Kdhjhklv l_iehoh^Z ih j_d_ jZ\gZ dfq AZ q l_iehoh^ijhr_ejZkklhygb_˜ ˜ df Kdhjhklvkh[Zdb[hevr_kdhjhklbdhrdbgZ± fkihwlhfmq_j_a k kh[ZdZ^h]hgbldhrdmQQ ˜ ˜ ˜ ˜ ˜ ˜ ˜ Z˜ ˜ [ ˜ \ ˜ ] ^ ˜ ˜ ˜ ˜ ˜ ˜ ˜ _ ˜˜ ` ˜˜ a ±± ± b ˜ ˜ QQ Q Q N N QQ Q Q Z ˜ [ ˜ Do ˜ o o Hl\_l\Z ˜ Z Z Hl\_l\ ˜] ^ ˜[m ˜ m m Hl\_l]E˜ E˜ E E Hl\_l >eygZoh`^_gbyg_ba\_klguopbnjijbrehkvj_rZlvmjZ\g_gbyo o o o Z± ± ± [± ± \± ± ± ˜ Imklvf_gvr__baqbk_ejZ\gholh]^Z^jm]h_qbkehoKmffZwlboqbk_eo oZ ihmkeh\bx o o o o F_gvr__baqbk_ejZ\gh^jm]h_qbkehjZ\gh˜ Hl\_lb Imklvf_gvr__baqbk_ejZ\gholh]^Z^jm]h_qbkehoKmffZwlboqbk_eo oZ ihmkeh\bx o o o o F_gvr__baqbk_ejZ\gh^jm]h_qbkehjZ\gh˜ Hl\_lb Imklvf_gvr__baqbk_ejZ\ghmlh]^Z^jm]h_qbkehjZ\ghmJZaghklvwlboqbk_em ±mZ ihmkeh\bx m ±m m m F_gvr__baqbk_ejZ\gh^jm]h_qbkehjZ\gh˜ Hl\_lb Imklvf_gvr__baqbk_ejZ\ghmlh]^Z^jm]h_qbkehjZ\ghmJZaghklvwlboqbk_em ±mZ ihmkeh\bx m ±m m m F_gvr__baqbk_ejZ\gh^jm]h_qbkehjZ\gh˜ Hl\_lb ˜ ˜ ˜ ˜ ˜ ˜ ˜ ˜ ˜ ˜ ˜ Z [ ± ± \ ] ˜ ˜ ^± Kdhjhklv^\b`_gbyih_a^ZbaJhklh\ZgZ>hgmjZ\gZ ± dfqQ_j_a q ihke_ ^\b`_gby f_`^m ih_a^Zfb [m^_l ± ˜ ±˜ ± df Kdhjhklv\lhjh]hih_a^ZjZ\gZ dfqQ_j_a q f_`^mih_a^Zfb[m^_ljZkklhygb_±˜ ±˜ ± dfGZclbjZaghklvqbk_eb GZclbqZklgh_qbkeZb j_amevlZlZdhfZg^uGZclbqZklgh_qbk_eb Keh`blvj_amevlZludhfZg^b ± ˜ ˜ ± ˜ ± ˜ b l^Wlhk\hckl\hfh`ghknhjfmebjh\Zlv lZd d\Z^jZl gZlmjZevgh]h qbkeZ Q jZ\_g kmff_ Q ihke_^h\Zl_evguog_q_lguogZlmjZevguoqbk_egZqbgZyk ZIjbY ffbgW fbg[ijbY dfqZkW qV YW ˜ f dffV YW ˜ df ZIjbW qV df[IjbV fW FY V W dfqY V W fF ZIjbV dfY dfk[IjbV dfY dfqW V Y FW V Y q J Z E±nhjfmeZ^ey\uqbke_gbyi_jbf_ljZijyfhm]hevgbdZ]^_ZE±^ebguklhjhgijyfhm]hevgbdZ J Z ±nhjfmeZ^ey\uqbke_gbyi_jbf_ljZd\Z^jZlZ]^_Z ±^ebgZ_]hklhjhguZIjbZ kf J Z ˜ kf [ijbJ f Z J f Z ETU±nhjfmeZ^eygZoh`^_gby^_ebfh]hZ ih^_ebl_exEg_iheghfmqZklghfmThklZldmUDIjbT E U D ETU ˜ [IjbZ T U E D±U T ± \IjbZ E U T D±U E ± DZ`^uc qZk jZkklhygb_ f_`^m ih_a^Zfb m\_ebqb\Z_lky gZ df ihwlhfm q_j_a W qZkh\ ihke_ hlijZ\e_gby f_`^m ih_a^Zfb [m^_lV ˜ WQbkeh\ wlhcnhjfme_ hagZqZ_l kdhjhklv m^Ze_gby ih_a^h\^jm]hl^jm]Z Q_j_a W qZkh\ ihke_ \u_a^Z jZkklhygb_ f_`^m fZrbgZfb [m^_l ±± ˜ W ±WdfQbkeh\ wlhcnhjfme_hagZqZ_lkdhjhklvk[eb`_gbyfZrbg Q_j_aWfbgjZkklhygb_f_`^mq_j_iZoZfb[m^_ljZ\ghV ±±± ˜ W ±WkfQbkeh\ wlhcnhjfme_hagZqZ_lkdhjhklvk dhlhjhc i_j\Zy q_j_iZoZ ^h]hgy_l \lhjmx Ijb V i_j\Zy ^h]gZeZ \lhjmxW F Q_j_aWqZkh\ihke_\u_a^ZjZkklhygb_Vhl\_ehkbi_^bklZ^h>ylvdh\h[m^_ljZ\ghV ±Wdf Z ˜ [ ˜ \ ˜ ] ˜ ˜ ^ ˜ ˜ ˜ ˜ ˜ ˜ ˜ ˜ ˜ ˜ ˜ ˜ ˜ ˜ ˜ ˜ ˜ ˜ ˜ ˜ ˜ Z˜ ˜ ˜ [˜ ˜ ˜ \˜ ˜ ˜ ˜ ˜ ˜ ]˜ ˜ ˜ ^˜ ˜ ˜ ˜ ˜ ˜ _˜ ˜ ˜ ˜ ZIjbm\_ebq_gbb^_ebfh]h\ QjZaqZklgh_lZd`_m\_ebqblky\ QjZa[ijbm\_ebq_gbb^_ebfh]hb ^_ebl_ey\ h^bgZdh\h_qbkehjZaqZklgh_g_baf_gblky Z˜ ±˜ ˜±˜ ±[± ˜˜ ±˜˜ ± ˜± D\Z^jZlqbkeZg_fh`_lhdZgqb\ZlvkypbnjZfbDm[qbkeZfh`_lhdZgqb\Zlvkyex[hcbapbnj FZrbgZaZq ijhreZimlvZ EdfIjbZ E Z E ˜ ˜ dfIjbZ E Z E ˜ ˜ dfIjbZ E Z E ˜ ˜ df Z [ \ ± ± ± ] ± ± Q_j_a^g_ch[s__qbkehijhqblZgguokljZgbpdgb]bdhlhjmxqblZ_lK_j_`Z[m^_ljZ\gh˜ Z LheyaZwlh\j_fyijhqblZ_l˜ kljZgbpdgb]bLZddZd! lhLheyi_j_]hgblK_j_`m &:< &' :' '$%KJ'.

Характеристики

Тип файла PDF

PDF-формат наиболее широко используется для просмотра любого типа файлов на любом устройстве. В него можно сохранить документ, таблицы, презентацию, текст, чертежи, вычисления, графики и всё остальное, что можно показать на экране любого устройства. Именно его лучше всего использовать для печати.

Например, если Вам нужно распечатать чертёж из автокада, Вы сохраните чертёж на флешку, но будет ли автокад в пункте печати? А если будет, то нужная версия с нужными библиотеками? Именно для этого и нужен формат PDF - в нём точно будет показано верно вне зависимости от того, в какой программе создали PDF-файл и есть ли нужная программа для его просмотра.

Список файлов книги