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X International Conference of the Georgian Mathematical Union ÓÀØÀÒÈÅÄËÏÓ ÓÀØÀÒÈÅÄËÏÓ ÁÀÈÖÌÉÓ ÛÏÈÀ ÒÖÓÈÀÅÄËÉÓ ÌÀÈÄÌÀÔÉÊÏÓÈÀ ÊÀÅÛÉÒÉ ÖÍÉÅÄÒÓÉÔÄÔÉ ÓÀáÄËÌßÉ×Ï ÖÍÉÅÄÒÓÉÔÄÔÉ Georgian The University Batumi Shota Rustaveli Mathematical Union of Georgia State University ÓÀØÀÒÈÅÄËÏÓ ÌÀÈÄÌÀÔÉÊÏÓÈÀ ÊÀÅÛÉÒÉÓ X ÓÀÄÒÈÀÛÏÒÉÓÏ ÊÏÍ×ÄÒÄÍÝÉÀ X International Conference of the Georgian Mathematical Union ÈÄÆÉÓÄÁÉÓÊÒÄÁÖËÉ BOOK OF ABSTRACTS ÓÐÏÍÓÏÒÉ: ÓÀØÀÒÈÅÄËÏÓ ÖÍÉÅÄÒÓÉÔÄÔÉ Sponsor: The University of Georgia ÁÀÈÖÌÉ, 2 – 6 ÓÄØÔÄÌÁÄÒÉ Batumi, September 2 – 6 2019 ÓÀÏÒÂÀÍÉÆÀÝÉÏ ÊÏÌÉÔÄÔÉ: ÒÏËÀÍà ÃÖÃÖÜÀÅÀ (ÈÀÅÌãÃÏÌÀÒÄ), ÈÉÍÀÈÉÍ ÃÀÅÉÈÀÛÅÉËÉ (ÈÀÅÌãÃÏÌÀÒÉÓ ÌÏÀÃÂÉËÄ), ÂÉÏÒÂÉ ÔÄ×ÍÀÞÄ (ÈÀÅÌãÃÏÌÀÒÉÓ ÌÏÀÃÂÉËÄ),ÌÄÃÄÀ ÝÀÀÅÀ (ÓßÀÅËÖËÉ ÌÃÉÅÀÍÉ), ÈÄÍÂÉÆ ÁÖ- ÜÖÊÖÒÉ, ÂÖÒÀÌ ÂÏÂÉÛÅÉËÉ, ÆÖÒÀÁ ÅÀÛÀÊÉÞÄ, ÍÖÂÆÀÒ ÊÄÒÄÓÄËÉÞÄ. ÀÃÂÉËÏÁÒÉÅÉ ÓÀÏÒÂÀÍÉÆÀÝÉÏ ÊÏÌÉÔÄÔÉ: ÅËÀÃÉÌÄÒ ÁÀËÀÞÄ, ÀÍÆÏÒ ÁÄÒÉÞÄ, ÒÖÓËÀÍ ÝÉÍÀÒÉÞÄ. Organizing Committee: Roland Duduchava (Chairman), Tinatin Davitashvili (Vice-Chair), George Tephnadze (Vice-Chair), Medea Tsaava (Scientific Secretary), Tengiz Buchukuri, Guram Gogishvili, Nugzar Kereselidze, Zurab Vashakidze. Local Organizers: Vladimer Baladze, Anzor Beridze, Ruslan Tsinaridze. ÓÀÌÄÝÍÉÄÒÏ ÊÏÌÉÔÄÔÉ: ÌÀËáÀÆ ÁÀÊÖÒÀÞÄ, ÅËÀÃÉÌÄÒ ÁÀËÀÞÄ, ÌÀÉÊË ÁÄÒÒÉ, ÀÉÛÄ ÁÄÒÊÌÄÍÉ, ÂÖÒÀÌ ÂÏÂÉÛÅÉËÉ, ÓÏÓÏ ÂÏÂÉËÉÞÄ, ÈÄÉÌÖÒÀÆ ÃÀÅÉÈÀÛÅÉËÉ, ÒÏËÀÍà ÃÖÃÖÜÀÅÀ, ÅËÀÃÉÌÉÒ ÅËÀÃÉÌÉÒÏÅÉ, ÊÀáÀÁÄÒ ÈÀÅÆÀÒÀÛÅÉËÉ, ÅÀáÔÀÍ ÊÅÀÒÀÝáÄËÉÀ, ÀËÄØÓÀÍÃÒÄ ÊÅÉÍÉáÉÞÄ, äÀÌËÄÔ ÌÄËÀÞÄ, ÃÀÅÉÈ ÍÀÔÒÏÛÅÉËÉ, ÉÀÍÉÓ ÓÔÒÀÔÉÓÉ, áÉÌÖÒÉ ÒÖáÀÉÀ, ÅÀÑÀ ÔÀÒÉÄËÀÞÄ, ÂÉÏÒÂÉ ÔÄ×- ÍÀÞÄ, ÏÌÀÒ ×ÖÒÈÖáÉÀ, ÊÏÍÓÔÀÍÔÉÍÄ ×áÀÊÀÞÄ, ÈÄÌÖÒ ÜÉËÀÜÀÅÀ, ãÖÀÍÛÄÒ ÜØÀÒÄÖËÉ, ÏÈÀÒ àÊÀÃÖÀ (ÈÀÅÌãÃÏÌÀÒÄ), ÄÌÆÀÒ áÌÀËÀÞÄ, ÈÄÌÖÒ ãÀÍÂÅÄËÀÞÄ. Scientific Committee: Malkhaz Bakuradze, Vladimer Baladze, Ayşe Berkman, Michael Berry, Temur Chilachava, Otar Chkadua (Chairman), Juansher Chkareuli, Teimuraz Davitashvili, Roland Dudu- chava, Guram Gogishvili, Soso Gogilidze, Temur Jangveladze, Emzar Khmaladze, Vakh- tang Kvaratskhelia, Alexander Kvinikhidze, Hamlet Meladze, David Natroshvili, Konstan- tine Pkhakadze, Omar Purtukhia, Khimuri Rukhaia, Ioannis G. Stratis, Vaja Tarieladze, Kakhaber Tavzarashvili, George Tephnadze, Vladimir Vladimirov. ÒÄÃÀØÔÏÒÄÁÉ: ÂÖÒÀÌ ÂÏÂÉÛÅÉËÉ, ÌÀÉÀ ãÀ×ÏÛÅÉËÉ ÂÀÒÄÊÀÍÉÓ ÃÉÆÀÉÍÉ: ÀÍÍÀ ÛÄÍÂÄËÉÀ Editors: Guram Gogishvili, Maia Japoshvili Cover Design: Anna Shengelia Contents In Memoriam – áÓÏÅÍÀ 23 ÒÏÉÍ ÍÀÃÉÒÀÞÄ ................................... 23 Roin Nadiradze .................................. 23 Abstracts of Plenary and Invited Speakers 27 ÐËÄÍÀÒÖËÉ ÃÀ ÌÏßÅÄÖËÉ ÌÏÌáÓÄÍÄÁËÄÁÉÓ ÈÄÆÉÓÄÁÉ 27 Vladimer Baladze, On Some Questions of Algebraic Topology and General Topology . 29 ÅËÀÃÉÌÄÒ ÁÀËÀÞÄ, ÀËÂÄÁÒÖËÉ ÔÏÐÏËÏÂÉÉÓÀ ÃÀ ÆÏÂÀÃÉ ÔÏÐÏËÏÂÉÉÓ ÆÏ- ÂÉÄÒÈÉ ÓÀÊÉÈáÉÓ ÛÄÓÀáÄÁ ........................... 29 G. Barsegian, On Some Trends and Principles Related to Arbitrary Meromor- phic or Analytic Functions in a Given Domain . 31 ÂÒÉÂÏÒ ÁÀÒÓÄÂÉÀÍÉ, ÌÏÝÄÌÖË ÀÒÄÛÉ ÍÄÁÉÓÌÉÄÒ ÌÄÒÏÌÏÒ×ÖË ÃÀ ÀÍÀËÉÆÖÒ ×ÖÍØÝÉÄÁÈÀÍ ÃÀÊÀÅÛÉÒÄÁÖËÉ ÆÏÂÉÄÒÈÉ ÌÉÌÀÒÈÖËÄÁÉÓÀ ÃÀ ÐÒÉÍÝÉÐÉÓ ÛÄ- ÓÀáÄÁ ...................................... 31 Anzor Beridze, Paweł Traczyk, On the Burau Representation for n = 4 .. 32 ÀÍÆÏÒ ÁÄÒÉÞÄ, ÐÀÅÄË ÔÒÀÜÖÊÉ, n = 4-ÈÅÉÓ ÁÖÒÀÖÓ ßÀÒÌÏÃÂÄÍÉÓ ÛÄÓÀáÄÁ . 32 Michael Berry, Superoscillations (Faster than Fourier): Vorticulture, Fractals, Escape::: .................................... 33 ÌÀÉÊË ÁÄÒÒÉ, ÓÖÐÄÒÏÓÉÝÉËÀÝÉÀ (Ö×ÒÏ ÜØÀÒÉ ÅÉÃÒÄ ×ÖÒÉÄÓÉ): ÅÏÒÔÉÊÖË- ÔÖÒÀ, ×ÒÀØÔÀËÄÁÉ, ÂÀÓÅËÀ .......................... 33 Ayşe Berkman, Sharply Multiply Transitive Groups . 34 ÀÉÛÄ ÁÄÒÊÌÄÍÉ, ÌÊÀÝÒÀà ÌÒÀÅÀËãÄÒÀÃÉ ÔÒÀÍÆÉÔÖËÉ ãÂÖ×ÄÁÉ ......... 34 Jon L. Chkareuli, Are Elementary Particle Being Truly Elementary? . 34 ãÖÀÍÛÄÒ Ë. ÜØÀÒÄÖËÉ, ÀÒÉÓ ÈÖ ÀÒÀ ÄËÄÌÄÍÔÀÒÖËÉ ÍÀßÉËÀÊÄÁÉ àÄÛÌÀÒÉÔÀà ÄËÄÌÄÍÔÀÒÖËÄÁÉ? ............................... 34 3 4 Batumi, September 2–6, 2019 Soso Gogilidze, Maxwell’s Classical Theory in the Framework of Geometric Reductions Method . 35 ÓÏÓÏ ÂÏÂÉËÉÞÄ, ÌÀØÓÅÄËÉÓ ÊËÀÓÉÊÖÒÉ ÈÄÏÒÉÀ ÂÄÏÌÄÔÒÉÖËÉ ÃÀÚÅÀÍÉÓ ÌÄ- ÈÏÃÉÓ ÈÅÀËÓÀÆÒÉÓÉÈ ............................ 35 Paata Ivanishvili, Weissler’s Conjecture on the Hamming Cube . 35 ÐÀÀÔÀ ÉÅÀÍÉÛÅÉËÉ, ÅÄÉÓËÄÒÉÓ äÉÐÏÈÄÆÀ äÀÌÉÍÂÉÓ ÊÖÁÉÓ ÛÄÓÀáÄÁ ........ 35 Alexey Karapetyants, A Class of Hausdorff–Berezin Operators . 36 ÀËÄØÓÄÉ ÊÀÒÀÐÄÔÉÀÍÝÉ, äÀÖÓÃÏÒ×−ÁÄÒÄÆÉÍÉÓ ÏÐÄÒÀÔÏÒÄÁÉÓ ÊËÀÓÉ ..... 36 Vladislav V. Kravchenko, Transmutation Operator Method for Practical So- lution of Forward and Inverse Spectral Problems . 37 ÅËÀÃÉÓËÀÅ Å. ÊÒÀÅÜÄÍÊÏ, ÂÀÒÃÀØÌÍÉÓ ÏÐÄÒÀÔÏÒÉÓ ÌÄÈÏÃÉ ÐÉÒÃÀÐÉÒÉ ÃÀ ÛÄÁÒÖÍÄÁÖËÉ ÓÐÄØÔÒÀËÖÒÉ ÀÌÏÝÀÍÄÁÉÓ ÐÒÀØÔÉÊÖËÉ ÀÌÏáÓÍÉÓÈÅÉÓ .... 37 Elijah Liflyand, Hardy Type Inequalities in the Category of Hausdorff Opera- tors ....................................... 38 ÄËÉãÀ ËÉ×ËÉÀÍÃÉ, äÀÒÃÉÓ ÔÉÐÉÓ ÖÔÏËÏÁÄÁÉ äÀÖÓÃÏÒ×ÉÓ ÏÐÄÒÀÔÏÒÈÀ ÊÀÔÄÂÏÒÉÀÛÉ .................................. 38 Andrey Morgulis, Instability and Stabilisation of the Chemotaxis Dynamics . 39 ÀÍÃÒÄÉ ÌÏÒÂÖËÉÓÉ, ÀÒÀÓÔÀÁÉËÖÒÏÁÀ ÃÀ ÓÔÀÁÉËÉÆÀÝÉÀ ØÄÌÏÔÀØÓÉÓÉÓ ÃÉÍÀ- ÌÉÊÀÛÉ ...................................... 39 Yuri Movsisyan, Algebras and Varieties with Formulas of Second Order Logic 40 ÉÖÒÉ ÌÏÅÓÉÓÉÀÍÉ, ÀËÂÄÁÒÄÁÉ ÃÀ ÅÀÒÉÄÔÄÁÉ ÌÄÏÒÄ ÒÉÂÉÓ ËÏÂÉÊÉÓ ×ÏÒÌÖËÄ- ÁÉÈ ....................................... 40 Yusuf Muhanna, The Bohrs Banach Algebraic Operator . 40 ÉÖÓÖ× ÌÖäÀÍÀ, ÁÏÒ ÁÀÍÀáÉÓ ÀËÂÄÁÒÖËÉ ÏÐÄÒÀÔÏÒÉ .............. 40 Ioannis G. Stratis, On the Calderón Operator for Maxwell’s Equations . 41 ÉÏÀÍÉÓ Â. ÓÔÒÀÔÉÓÉ, ÊÀËÃÄÒÏÍÉÓ ÏÐÄÒÀÔÏÒÉÓ ÛÄÓÀáÄÁ ÌÀØÓÅÄËÉÓ ÂÀÍÔÏ- ËÄÁÄÁÉÓÈÅÉÓ .................................. 41 H. K. Moffatt, V. A. Vladimirov, Locomotion and Forcing of Rigid Bodies in a Fluid. An Overview of the Subject . 42 ä. Ê. ÌÏ×ÀÔÉ, Å. À. ÅËÀÃÉÌÉÒÏÅÉ, ÓÉÈáÄÛÉ ÌÚÀÒÉ ÓáÄÖËÄÁÉÓ ÂÀÃÀÀÃÂÉËÄÁÀ ÃÀ ×ÏÒÓÉÒÄÁÀ. ÈÄÌÉÓ ÌÉÌÏáÉËÅÀ ...................... 42 Abstracts of Participants’ Talks 45 ÁÀÈÖÌÉ, 2–6 ÓÄØÔÄÌÁÄÒÉ, 2019 5 ÌÏÍÀßÉËÄÈÀ ÌÏáÓÄÍÄÁÄÁÉÓ ÈÄÆÉÓÄÁÉ 45 Marina Abashidze, Vakhtang Beridze, David Devadze, Hamlet Mela- dze, Solution of the Elliptic Equations with m-Point Bitsadze–Samarskiǐ Boundary Conditions Using MEDG Method . 47 ÌÀÒÉÍÀ ÀÁÀÛÉÞÄ, ÅÀáÔÀÍ ÁÄÒÉÞÄ, ÃÀÅÉÈ ÃÄÅÀÞÄ, äÀÌËÄÔ ÌÄËÀÞÄ, ÁÉßÀÞÄ−ÓÀ- ÌÀÒÓÊÉÓ m-ßÄÒÔÉËÏÅÀÍÉ ÓÀÓÀÆÙÅÒÏ ÀÌÏÝÀÍÉÓ ÀÌÏáÓÍÀ MEDG ÌÄÈÏÃÉÈ ÄËÉ×ÓÖÒÉ ÂÀÍÔÏËÄÁÉÓÈÅÉÓ .......................... 47 Elkhan M. Abbasov, Nurlana A. Agayeva, Fluid Flow Motion Fluid Mo- tion in Conjugate Reservoir–Well–Pipeline System . 48 ÄËÊÀÍ Ì. ÀÁÀÓÏÅÉ, ÍÖÒËÀÍÀ À. ÀÂÀÉÄÅÀ, ÓÉÈáÉÓ ÍÀÊÀÃÉÓ ÌÏÞÒÀÏÁÉÓ äÉÃÒÏ- ÃÉÍÀÌÉÊÀ ÛÄÖÙËÄÁÖË ÒÄÆÄÒÅÖÀÒ-ÌÉËÓÀÃÄÍÄÁÉÓ ÓÉÓÔÄÌÀÛÉ ......... 48 Bidzina Abesadze, Zviad Churchelauri, Research of Stressed State at Ben- ding of Having Uncompensated Cuts Cylindrical Shells . 49 ÁÉÞÉÍÀ ÀÁÄÓÀÞÄ, ÆÅÉÀà àÖÒàÄËÀÖÒÉ, ÀÒÀÊÏÌÐÄÍÓÉÒÄÁÖËÉ àÒÉËÄÁÉÀÍÉ ÂÀÒÓÄ- ÁÉÓ ÌØÏÍÄ ÙÖÍÅÉÈÉ ÃÀÞÀÁÖËÉ ÌÃÂÏÌÀÒÄÏÁÉÓ ÊÅËÄÅÀ ........... 49 Vladimer Adeishvili, Ivane Gokadze, Erdösh–Mordell Inequality and Use of it to Solve the Tasks of School Mathematics Olympiads . 50 ÅËÀÃÉÌÄÒ ÀÃÄÉÛÅÉËÉ, ÉÅÀÍÄ ÂÏØÀÞÄ, ÄÒÃÄÛ−ÌÏÒÃÄËÉÓ ÖÔÏËÏÁÀ ÃÀ ÌÉÓÉ ÂÀÌÏÚÄÍÄÁÀ ÓÀÓÊÏËÏ ÌÀÈÄÌÀÔÉÊÉÓ ÏËÉÌÐÉÀÃÄÁÉÓ ÀÌÏÝÀÍÄÁÉÓ ÀÌÏÓÀáÓÍÄ- ËÀà ....................................... 50 Lela Aleksidze, Laura Eliauri, Zurab Zerakidze, Existence of Consistent Criteria for Hypotheses Testing for Strongly Separable Statistical Struc- tures . 50 ËÄËÀ ÀËÄØÓÉÞÄ, ËÀÖÒÀ ÄËÉÀÖÒÉ, ÆÖÒÀÁ ÆÄÒÀÊÉÞÄ, äÉÐÏÈÄÆÀÈÀ ÛÄÌÏßÌÄÁÉÓ ÞÀËÃÄÁÖËÉ ÊÒÉÔÄÒÉÖÌÄÁÉÓ ÀÒÓÄÁÏÁÀ ÌÊÀÝÒÀà ÂÀÍÝÀËÄÁÀÃÉ ÓÔÀÔÉÓÔÉÊÖ- ÒÉ ÓÔÒÖØÔÖÒÄÁÉÓÈÅÉÓ ............................ 50 Teimuraz Aliashvili, On the Uniformization of Planar Curves and the Two- dimensional Jacobian Problem . 52 ÈÄÉÌÖÒÀÆ ÀËÉÀÛÅÉËÉ, ÁÒÔÚÄË ßÉÒÈÀ ÖÍÉ×ÏÒÌÉÆÀÝÉÉÓÀ ÃÀ ÉÀÊÏÁÉÀÍÉÓ ÏÒ- ÂÀÍÆÏÌÉËÄÁÉÀÍÉ äÉÐÏÈÄÆÉÓ ÛÄÓÀáÄÁ ..................... 52 Mikheil Amaglobeli, Varieties of Exponential MR-Groups . 52 ÌÉáÄÉË ÀÌÀÙËÏÁÄËÉ, áÀÒÉÓáÏÅÀÍ MR-ãÂÖ×ÈÀ ÌÒÀÅÀËÓÀáÄÏÁÄÁÉ ....... 52 Natela Ananiashvili, About One Heuristic Algorithm of Solution of a Problem of Optimization . 53 ÍÀÈÄËÀ ÀÍÀÍÉÀÛÅÉËÉ, ÖßÚÅÄÔÉ ÏÐÔÉÌÉÆÀÝÉÉÓ ÀÌÏÝÀÍÉÓ ÀÌÏáÓÍÉÓ ÄÒÈÉ ÄÅÒÉÓ- ÔÉÖËÉ ÀËÂÏÒÉÈÌÉÓ ÛÄÓÀáÄÁ ......................... 53 6 Batumi, September 2–6, 2019 Elisabed Asabashvili, Identification of Biomass Growth Model . 53 ÄËÉÓÀÁÄà ÀÓÀÁÀÛÅÉËÉ, ÁÉÏÌÀÓÉÓ ÆÒÃÉÓ ÌÏÃÄËÉÓ ÉÃÄÍÔÉ×ÉÊÀÝÉÀ ....... 53 Natela Archvadze, Merab Pkhovelisvili, Modern Forecasting Models in Economy . 55 ÍÀÈÄËÀ ÀÒÜÅÀÞÄ, ÌÄÒÀÁ ×áÏÅÄËÉÛÅÉËÉ, ÐÒÏÂÍÏÆÉÒÄÁÉÓ ÈÀÍÀÌÄÃÒÏÅÄ ÌÄÈÏ- ÃÄÁÉ ÄÊÏÍÏÌÉÊÀÛÉ ............................... 55 Petre Babilua, Elizbar Nadaraya, On the Estimating the Bernoulli Regres- sion Function Using Berstein Polynomials . 56 ÐÄÔÒÄ ÁÀÁÉËÖÀ, ÄËÉÆÁÀÒ ÍÀÃÀÒÀÉÀ, ÁÄÒÍÖËÉÓ ÒÄÂÒÄÓÉÉÓ ×ÖÍØÝÉÉÓ ÛÄ×ÀÓÄÁÉÓ ÛÄÓÀáÄÁ ÁÄÒÍÛÔÄÉÍÉÓ ÐÏËÉÍÏÌÄÁÉÈ ..................... 56 Petre Babilua, Elizbar Nadaraya, Mzevinar Patsatsia, On the Limit Dis- tribution of the Integral Square Deviation of a Nonparametric Estimator of the Bernoulli Regression Function . 56 ÐÄÔÒÄ ÁÀÁÉËÖÀ, ÄËÉÆÁÀÒ ÍÀÃÀÒÀÉÀ, ÌÆÄÅÉÍÀÒ ×ÀÝÀÝÉÀ, ÁÄÒÍÖËÉÓ ÒÄÂ- ÒÄÓÉÉÓ ×ÖÍØÝÉÉÓ ÀÒÀÐÀÒÀÌÄÔÒÖËÉ ÛÄ×ÀÓÄÁÉÓ ÉÍÔÄÂÒÀËÖÒÉ ÊÅÀÃÒÀÔÖËÉ ÂÀÃÀáÒÄÁÉÓ ÆÙÅÀÒÉÈÉ ÂÀÍÀßÉËÄÁÉÓ ÛÄÓÀáÄÁ ................. 56 Mzevinar Bakuridze, Sergei Chobanyan, Vaja Tarieladze, On Uniform Convergence of Rearranged Fourier Series . 57 ÌÆÄÅÉÍÀÒ ÁÀÊÖÒÉÞÄ, ÓÄÒÂÄÉ ÜÏÁÀÍÉÀÍÉ, ÅÀÑÀ ÔÀÒÉÄËÀÞÄ, ×ÖÒÉÄÓ ÂÀÃÀÍÀÝ- ÅËÄÁÖËÉ ÌßÊÒÉÅÄÁÉÓ ÈÀÍÀÁÀÒÉ ÊÒÄÁÀÃÏÁÉÓ ÛÄÓÀáÄÁ ............ 57 Malkhaz Bediashvili, Gela Kipiani, Vazha Sulashvili, Elastic-Plastic Sta- te of Thin-Walled Structures . 58 ÌÀËáÀÆ ÁÄÃÉÀÛÅÉËÉ, ÂÄËÀ ÚÉ×ÉÀÍÉ, ÅÀÑÀ ÓÖËÀÛÅÉËÉ, ÈáÄËÊÄÃËÉÀÍÉ ÊÏÍ- ÓÔÒÖØÝÉÄÁÉÓ ÃÒÄÊÀÃ-ÐËÀÓÔÉÊÖÒÉ ÌÃÂÏÌÀÒÄÏÁÀ .............. 58 Jean-David Benamou, Wilbert IJzerman, Giorgi Rukhaia, Sinkhorn Algorithm and Problem of Regularization for FreeForm Optics Applicati- ons ....................................... 58 ãÄÍ-ÃÄÅÉà ÁÀÍÀÌÏÖ, ÅÉËÁÄÒÈ ÉÆÄÒÌÀÍÉ, ÂÉÏÒÂÉ ÒÖáÀÉÀ, ÓÉÍÊäÏÒÍÉÓ ÀË- ÂÏÒÉÈÌÉ ÃÀ ÒÄÂÖËÀÒÉÆÀÝÉÉÓ
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