polygon-1.2.rtf 549 KB

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  1. {\rtf1\ansi\ansicpg1252\uc1\deff0\stshfdbch13\stshfloch0\stshfhich0\stshfbi0\deflang1033\deflangfe2052{\fonttbl{\f0\froman\fcharset0\fprq2{\*\panose 02020603050405020304}Times New Roman;}
  2. {\f2\fmodern\fcharset0\fprq1{\*\panose 02070309020205020404}Courier New;}{\f3\froman\fcharset2\fprq2{\*\panose 05050102010706020507}Symbol;}{\f10\fnil\fcharset2\fprq2{\*\panose 05000000000000000000}Wingdings;}
  3. {\f13\fnil\fcharset134\fprq2{\*\panose 02010600030101010101}SimSun{\*\falt ???????????\'a1\'ec??????};}{\f35\fswiss\fcharset0\fprq2{\*\panose 020b0604030504040204}Tahoma;}{\f36\fnil\fcharset134\fprq2{\*\panose 00000000000000000000}??{\*\falt SimSun};}
  4. {\f37\fnil\fcharset134\fprq2{\*\panose 00000000000000000000}@SimSun;}{\f38\fnil\fcharset134\fprq2{\*\panose 00000000000000000000}@??;}{\f39\froman\fcharset238\fprq2 Times New Roman CE;}{\f40\froman\fcharset204\fprq2 Times New Roman Cyr;}
  5. {\f42\froman\fcharset161\fprq2 Times New Roman Greek;}{\f43\froman\fcharset162\fprq2 Times New Roman Tur;}{\f44\froman\fcharset177\fprq2 Times New Roman (Hebrew);}{\f45\froman\fcharset178\fprq2 Times New Roman (Arabic);}
  6. {\f46\froman\fcharset186\fprq2 Times New Roman Baltic;}{\f47\froman\fcharset163\fprq2 Times New Roman (Vietnamese);}{\f59\fmodern\fcharset238\fprq1 Courier New CE;}{\f60\fmodern\fcharset204\fprq1 Courier New Cyr;}
  7. {\f62\fmodern\fcharset161\fprq1 Courier New Greek;}{\f63\fmodern\fcharset162\fprq1 Courier New Tur;}{\f64\fmodern\fcharset177\fprq1 Courier New (Hebrew);}{\f65\fmodern\fcharset178\fprq1 Courier New (Arabic);}
  8. {\f66\fmodern\fcharset186\fprq1 Courier New Baltic;}{\f67\fmodern\fcharset163\fprq1 Courier New (Vietnamese);}{\f171\fnil\fcharset0\fprq2 SimSun Western{\*\falt ???????????\'a1\'ec??????};}{\f389\fswiss\fcharset238\fprq2 Tahoma CE;}
  9. {\f390\fswiss\fcharset204\fprq2 Tahoma Cyr;}{\f392\fswiss\fcharset161\fprq2 Tahoma Greek;}{\f393\fswiss\fcharset162\fprq2 Tahoma Tur;}{\f394\fswiss\fcharset177\fprq2 Tahoma (Hebrew);}{\f395\fswiss\fcharset178\fprq2 Tahoma (Arabic);}
  10. {\f396\fswiss\fcharset186\fprq2 Tahoma Baltic;}{\f397\fswiss\fcharset163\fprq2 Tahoma (Vietnamese);}{\f398\fswiss\fcharset222\fprq2 Tahoma (Thai);}{\f411\fnil\fcharset0\fprq2 @SimSun Western;}}{\colortbl;\red0\green0\blue0;\red0\green0\blue255;
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  1933. fffffffffffffffffffffffffffffffffffffffffffffffffffffffff7fff784ad8442844a52ad5a52c6634ac66352d66b42ce5a42ce5a5ade6b4ace5a52d663
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  1935. ce6b42d66342d66b218c39086318186321216b2118731863bd6373c66b63a55a184a100821002929081829000842006bbd524aa54a31ad6b63f7e721d6e710e7
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  1939. f7001810527b5294dec642ffff00deff00d6ff39e7ff73e7d6082908a56b399c5218311800101000f7ffffdef7f7ffffffffffffffffffffffefdeb54af7bd21
  1940. ff9c00ff9c00ff9408ff8c08ff9408ff8c00ff8c08ff8400ff8400ff8400ff8400f77300ff7b00ff7300ff7b00ff7300ff7300ff7300ff8c00ff8410ff84397b
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  1942. ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe7ffef84ad84397b42318439
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  1950. 7b00ff6b00ff7300ff7300ff7b00ff7b00ff7b08f77b29842100290800fffffffffffffffffff7fffff7ffffffffffffffffffffffffffffffffffffffffffff
  1951. ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
  1952. fffffffffffffffffffffff7efffef84ad84427b4a21733139944239a54a31a54231ad424ac65a52d66b5ad66b52ce635ace6b52d66b39d65229d64a42ce5a4a
  1953. bd5a39a54a187b29086b18005a10185a29104221102118fffffffffffff7f7f7fffffff7fff7ffffff7b8c734a944a39ad424ad65242ce4a4abd52106b18216b
  1954. 21216321186b18529c5263b5635aa5520039000018002929101829004a9c426bc6634a943900420000524a5ae7ef29d6de4ae7e7005a315aa56b52a563108452
  1955. 42efde18eff708e7ff00ceef29efff39efff109c9c0052395a94527394317b941884a529739c316b944a426b3910311808181000080800180800393121736b31
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  1957. 00637b3142944a73efc652f7ff10d6f710f7ff08cef773eff7002908a59442949439429c6342e7ce18f7ff00e7ff18efff5adede3929107b735263f7e710efef
  1958. 00deef18e7ff18deff6be7e74a3900ad6318522900290800ffffffffffffffffffffffffffffffffffdedec64aefad10f79410ff8408ff8408ff7b00ff8408ff
  1959. 7b00ff7b00ff7300ff7b00ff7300ff7300ff7300ff7b08ff7300ff7300ff6b00ff7300ff7b00ff7b00ff7b08ff7b31842100310800ffffffffffffffffffffff
  1960. fff7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
  1961. ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffefffef8cad8c42734221632921732921843139a54239ad4a42b55252
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  1963. de7b9473317b31218c214ace5242c64a4abd52217b211863181863181863183184315aad5a5aa55218521000310000310000420052a54a7bc6635a8429314a10
  1964. 082918214a52295a63003129294a29215a29188c6352efd618deef10efff21efff39eff739dee7005a52104a393142184a4a08737321738c317bad5a4a945a00
  1965. 4a2100311842e7d65aefef52efef31e7e739efef39efef39efef31dee731dede42dede5aefe763e7d60031180021001031084231007b5a18b573319c63219c7b
  1966. 394a6b396be7e739efff00cee721f7ff18cee752d6de0018005a6331737b3152844a5ae7de21e7ff00def718efff39d6e7003121394200948c314a84397bf7ce
  1967. 18e7de00e7ff00d6ef4aefff00181063736308947b29efe721e7f721e7ff18e7ff63e7e7292100b57b396b42103110004a2921ffffffffffffffffffffffffff
  1968. ffded6bd39e7ad10ef8400ff7b00ff7b00ff7b00ff7300ff7300ff7300ff7300ff7300ff7300ff7300ff7300ff7300ff7300ff6b00ff7300ff6b00ff7300ff7b
  1969. 00ff7b08f773297b1800290000fffffffffffffffffff7fffff7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
  1970. ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff8c
  1971. a58c4a734a215a29186b29107321107b21107b21188c29188c29218c31107b29107b2100731829a53931ad4a4ab55a52bd635ac66b52bd5a42bd5231ad4a218c
  1972. 31085a18002100f7fffffffffffffffffffffffffff79c9c946b846329732908731052ce5a42bd4a52c65a319439186318185a18216b21216b18529c4a5a9c5a
  1973. 4a8442296b2939944a4ab56363bd5a63a5424263103942085a634a2121184239314a4231394218104a1829b59439f7ef00d6ff00d6ff21dee752f7e718947b42
  1974. 946b314a18635a21635a184a4a10426331105a3900312142ded631ffff00dee708eff700e7ef08efff00e7f700deef00e7f718f7ff18f7ff18efff10deef29e7
  1975. ef4ae7e76befe70031290829184239216b4221945a319c7329737b312973524ad6d629eff710f7ff08e7f739e7f78cefe70821008c73297b7b3963c6ad4affff
  1976. 00deef00def731efff63e7de183900948c4284944a6bbd8c39e7de00def700efff31efff5a9ca508392921947b4ae7d629e7ef21efff21e7ff5ae7ef102900a5
  1977. 84428c6331421800391810ffffffffffffffffffffffffffffdedec642e7ad10f78c00ff7300ff7b08ff7b00ff7b00ff7300ff7b00ff7300ff7b00ff7300ff7b
  1978. 00ff7300ff7308ff7300ff7300ff6b00ff7300ff7300ff7b00f77300ef6b29731000290000fffffffffffffffffffffffff7ffffffffffffffffffffffffffff
  1979. ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
  1980. fffffffffffffffffffffffffffffffffffffffffffff794a5944a6b4a295a29186321186b29086318107321107b21107b21006310006310006310087321086b
  1981. 1821843139944a52ad6352bd6352ce6342c65239c64a39b552187329002100f7ffffffffffffffffffffffffffff6b7363638463216b291073104ac65242bd52
  1982. 52bd5a4aa552085a10216321216321216318296b2952944a4a844242844a4abd6b52c66b429c42296b10315208394a103142185a6342524a294239104a5a2100
  1983. 4a185af7de21efef00d6ff10efff39f7f739d6ad52b5845a9c5a738c4284944a394a1021421800211863d6de31d6ef31efff08d6ff08deff21ffff00def700e7
  1984. ff08e7ff00deff00deff00d6ff00deff00e7ff08efff00def710e7f739ffff29c6ce73dede0021211021185a4a396b4a008c73187b84396bb58c39efef00e7f7
  1985. 00def721efff5adeef0029214231008c7b31527b4a7befd618e7f700efff00d6ef42e7e70042216b7331948c425a844a63f7e718efff00deff10deff73dee700
  1986. 2918297b5a84f7d618ced610def718e7ff39d6de0031107b73399c7342310800180800fffffffffff7ffffffffffffffffe7dec642efb510f78400ff7b00ff73
  1987. 00ff7b00ff7300ff7b00ff7300ff7b00ff7300ff7b08ff7300ff7300ff7300ff7300ff6b00ff6b00ff6b00ff7300f76b00f76b00e76321731000210000ffffff
  1988. fffffffffffff7fffff7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
  1989. ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff94a5944a6b52295a29216329186b29106b
  1990. 21006b10006b10006b10087321107321107321006318086321106321217331318439429c4a42b54a42ce5242d65252ce63218c31003908f7fffffffffffff7ff
  1991. ffffffffffff848c7b638c63296b2908631042ad4a4abd5a5abd634aa552186318216321216321216321185a10397331396b29317331298439086b18185a1021
  1992. 5208426321425a21294a10294a105263213142004a63211052215ae7c629dede31f7ff10d6f739dece299c73529c5a638c428cb55a4a7b296b9c6b004a3163de
  1993. ef42e7ff29f7ff00ceff08deff10e7ff00c6ef08efff00deff08deff18efff18e7ff10e7ff00deff00e7ff00deff00e7ff00deff08e7ff29f7ff31cede73e7f7
  1994. 0018291031298473397352008463006b8c424aded610e7f700efff00e7f731d6f77bd6e72131088c7b31737b3163ad7b21dede08f7ff00efff21dee773d6bd31
  1995. 4a21bdb56b94a56b6be7d621def708efff08d6ff5aeff70031214a7b4a94e7bd52f7ff10e7ff10e7ff4aefff84dece2942109c73396b3908211008ffffffffff
  1996. ffffffffffffffffffe7e7ce4aefb510ff8c00ff7300ff7b00ff7300ff7b00ff7300ff7b00ff7300ff7b08ff7b08ff7b08ff7300ff7308ff7300ff7300ff6b00
  1997. ff7308ff6b00ff7300ef6b08ef6329730800290000fffffffffffffffffffffffff7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
  1998. ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
  1999. fffffffff7fff794a5944a6b4a295a31185a21186b210863180873181073212994394ab55a5ac6734ab55a39a552187331106329085218106318187321219431
  2000. 29ad3942c65242bd5a318c42083910f7fff7ffffffffffffffffffffffef84947b5a845a18632108631021842952bd5a4ab55252ad52297329186318185a1821
  2001. 6321185210296321214a10295a21315a21395a293952184a5a29394210314a10397331296b21185a08316b18214a0029521810523184e7d652dee75ae7ef0042
  2002. 31105a31215210739c4a73a54a5aa55a08735252e7e718d6ef10e7ff00ceff00deff08efff08efff08e7ff10e7ff00deff00e7ff00d6ff08d6ff08d6ff10e7ff
  2003. 08deff00deff08efff00e7ff00def710e7ff29e7ff42e7f75ae7f700181829421084732194840873841818735242dee710e7ef08efff21f7ff31cee70029106b
  2004. 6b319c94395a8c4242e7de08e7ff00eff721eff773fff7002100a5a56badbd8452b5ad42efff00deff10efff39e7ef0021006b8c4a52845229cede08deff10e7
  2005. ff31e7f76bded6003110a57b42733900291808e7e7e7fffff7ffffffffffffffffefdec64aefb510f78400ff7b00ff7300ff7300f77300ff7300ff7300ff7b08
  2006. ff7300ff7b08ff7300ff7b08ff7300ff7300ff6b00ff7300ff6b00ff7300ff7300f76b08e75a21730800210000fffffffffffffffffff7fffff7ffffffffffff
  2007. ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
  2008. ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff94a594527352295a291863291063180063102184314ab55a5ac66b63d6735ace6b
  2009. 5ac66b52bd63319442187329106321106321186b21107318188c21219c314ab55a398c42103918f7fff7ffffffffffffffffefbdc6ad739473427b42216b2910
  2010. 63181873215abd6352b55a5abd63399442106318185a18215a18316329316329315a21315a214252214a52294a52214a4a215a6b394a6b29427b3163b55a63bd
  2011. 5a52a54a8cb56b213900314a21184a29005231005231215a31214a10315a10316310427b3142a56b52e7d621e7ef08efff00deff00deff00efff00deff00e7ff
  2012. 08e7ff08e7ff00e7ff00e7ff08efff08deff10e7ff08deff10e7ff00d6ff00e7ff00deff10f7ff00def718efff18deef21deef5aefef0029107b8c4a8c8c187b
  2013. 8410638c4a73d6b531e7e700def700d6ff31f7ff7bdede082900a5a54a739c4a63e7de21def710eff710e7f731dee70042318c9c63848c5242947b4ad6e721e7
  2014. ff08deff31efef42bd9c39520873945a39dee708e7ff10e7ff21deef52e7ef002918ad8c4aad6b31211000101810ffffffffffffffffffffffe7debd4ae7ad10
  2015. f78c00ff7300ff7b00ff7b00ff7b00ff7b00ff7b08ff7b08ff7b08ff7b08ff7b08ff7308ff7b08ff7300ff7308ff7300ff7300ff6b00ff7300ef6308ef63296b
  2016. 0800290000fffffffffffffffffffffffff7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
  2017. fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7fff794ad94426b4a216329
  2018. 186321186b21006308319c424abd5a5ad67352ce6b4ace6352d66b52ce6b39ad4a299439186b21106321105a18106318086b10106b18217331296b31103110ff
  2019. fffffffff7fffffff7ffe794b58c73ad73296b31185a18105a10106b1852b55a5abd6352b55a429c42106310185a18296329295221315a29295218395a294a5a
  2020. 31394218424a214a5a29425a218cad6373b55a52a54a399442529c524a73316373395a5a21395210106310186b186b8c4a395210294a0031631800521052c6a5
  2021. 39e7de08def700deff00deff00deff00e7ff00e7ff00efff00e7ff00e7ff00e7ff00efff00e7ff00e7ff00e7ff00e7ff00deff08e7ff08deff08e7ff08deff08
  2022. e7ff08e7ff08e7ff08e7f729e7ef10847b00310894ad529ca5319c9c315a84395ae7d610def700d6ff18efff52e7de0031088ca55294bd6b4aad9c4ae7ef18de
  2023. ef18efff18def7109c943963299cad636ba5846bdede29deff10e7ff18e7ef5ae7ce2939008c9c5a5aefef10deff08def721efff29deef0031219c7b39b57329
  2024. 291800000800fffff7fffff7ffffffffffefd6b54ae7ad18f78c00ff8400ff7b00ff7b00ff7b00ff7b00ff7b00ff7b00ff7b00ff7b08ff7300ff7b08ff7300ff
  2025. 7b08ff7300ff7300ff6b00ff7300f76b00f76b08e75a216b0800210000fffffffffffffffffff7fffff7ffffffffffffffffffffffffffffffffffffffffffff
  2026. ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
  2027. fffffffffffffffffffffffff7fff78cad8c4a7b4a215a29186b29107321107b2142b55252ce6b52d66b52d66b4ace5a52d66b4ace6342c65a29a54221843110
  2028. 6321106321105a18186321186321296331215229102110fffffffffffffffff7f7ffef9cc68c84c68c317b39216b29105a1818732139944252bd6352b55a4aa5
  2029. 4a106b18216321296321315a29315a21315a21315a21395a21395218395a21315a184273296ba55273ad5263a552529c524284424a7342637b42848c4a738c39
  2030. 73bd526bb54a84a54a849c4a5a8c31004200006b394adece42ffff00deff00e7ff00deff00e7ff00e7ff08e7ff00e7ff00e7ff00e7ff00efff00e7ff00efff00
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  2033. 63dece29eff710e7f710e7ff29efff31a5a57b6b29c67b31312100080800fffffffffff7ffffffffffefdebd5ae7ad21f78c00ff8400ff8400f77b00ff8400ff
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  2036. ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffefffef84ad8c42734a21632910632110732110842152ce6352ce634a
  2037. ce5a4ace5a4ad65a42ce5a42d66342d66331bd4a219431217b29105a18185a18105218185a21184a21214221081008fffffffffffffffff7efffe79cde9c8cde
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  2843. \par }\pard \s19\ql \li0\ri0\widctlpar\brdrb\brdrs\brdrw10\brsp40 \tqc\tx4153\tqr\tx8647\faauto\adjustright\rin0\lin0\itap0\pararsid4791013 {\b\fs24\dbch\af36\insrsid11802560 \hich\af0\dbch\af36\loch\f0 IOI 2004\tab }{\b\fs24\dbch\af36\insrsid4791013 \tab
  2844. \hich\af0\dbch\af36\loch\f0 Version 1.}{\b\deleted\fs24\dbch\af36\revauthdel1\revdttmdel109667828\insrsid4791013\delrsid4220756 \hich\af0\dbch\af36\loch\f0 1}{\b\fs24\cf0\revised\revauth1\revdttm109667828\dbch\af36\insrsid4220756
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  2847. \par }\pard \s19\ql \li0\ri0\widctlpar\brdrb\brdrs\brdrw10\brsp40 \tqc\tx4153\tqr\tx8647\faauto\adjustright\rin0\lin0\itap0\pararsid8669997 {\b\fs24\dbch\af36\insrsid11802560 \hich\af0\dbch\af36\loch\f0 Greece}{\insrsid8669997 \tab \tab }{
  2848. \b\fs24\dbch\af36\insrsid16256136 \hich\af0\dbch\af36\loch\f0 polygon}{\b\fs24\dbch\af36\insrsid11802560
  2849. \par }}{\footer \pard\plain \s20\ql \li0\ri0\widctlpar\brdrt\brdrs\brdrw10\brsp20 \tqc\tx4153\tqr\tx8306\faauto\adjustright\rin0\lin0\rtlgutter\itap0\pararsid16256136 \fs20\lang1033\langfe2052\loch\af0\hich\af0\dbch\af13\cgrid\langnp1033\langfenp2052
  2850. {\field{\*\fldinst {\lang1035\langfe2052\dbch\af36\langnp1035\insrsid11802560 \hich\af0\dbch\af36\loch\f0 DATE \\@ "dd.MM.yy" }}{\fldrslt {\cf0\revised\lang1024\langfe1024\revauth2\revdttm646540433\dbch\af36\noproof\langnp1035\insrsid13592033
  2851. \hich\af0\dbch\af36\loch\f0 13.09.04}{\deleted\lang1024\langfe1024\dbch\af36\revauthdel2\revdttmdel646540433\noproof\langnp1035\insrsid4220756\delrsid13592033 \hich\af0\dbch\af36\loch\f0 12.09.04}}}{\lang1035\langfe2052\langnp1035\insrsid11802560 \tab }{
  2852. \b\lang1035\langfe2052\dbch\af36\langnp1035\insrsid11802560 \hich\af0\dbch\af36\loch\f0 Page }{\field{\*\fldinst {\cs22\b\dbch\af36\insrsid11802560 \hich\af0\dbch\af36\loch\f0 PAGE }}{\fldrslt {
  2853. \cs22\b\lang1024\langfe1024\dbch\af36\noproof\insrsid13592033 \hich\af0\dbch\af36\loch\f0 1}}}{\cs22\b\dbch\af36\insrsid11802560 \hich\af0\dbch\af36\loch\f0 of }{\field{\*\fldinst {\cs22\b\dbch\af36\insrsid11802560 \hich\af0\dbch\af36\loch\f0 NUMPAGES }
  2854. }{\fldrslt {\cs22\b\lang1024\langfe1024\dbch\af36\noproof\insrsid13592033 \hich\af0\dbch\af36\loch\f0 2}}}{\cs22\insrsid11802560 \tab }{\b\lang1035\langfe2052\dbch\af36\langnp1035\insrsid16256136 \hich\af0\dbch\af36\loch\f0 polygon}{
  2855. \b\lang1035\langfe2052\dbch\af36\langnp1035\insrsid11802560
  2856. \par }}{\*\pnseclvl1\pnucrm\pnstart1\pnindent720\pnhang {\pntxta .}}{\*\pnseclvl2\pnucltr\pnstart1\pnindent720\pnhang {\pntxta .}}{\*\pnseclvl3\pndec\pnstart1\pnindent720\pnhang {\pntxta .}}{\*\pnseclvl4\pnlcltr\pnstart1\pnindent720\pnhang {\pntxta )}}
  2857. {\*\pnseclvl5\pndec\pnstart1\pnindent720\pnhang {\pntxtb (}{\pntxta )}}{\*\pnseclvl6\pnlcltr\pnstart1\pnindent720\pnhang {\pntxtb (}{\pntxta )}}{\*\pnseclvl7\pnlcrm\pnstart1\pnindent720\pnhang {\pntxtb (}{\pntxta )}}{\*\pnseclvl8
  2858. \pnlcltr\pnstart1\pnindent720\pnhang {\pntxtb (}{\pntxta )}}{\*\pnseclvl9\pnlcrm\pnstart1\pnindent720\pnhang {\pntxtb (}{\pntxta )}}\pard\plain \qc \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0
  2859. \fs20\lang1033\langfe2052\loch\af0\hich\af0\dbch\af13\cgrid\langnp1033\langfenp2052 {\fs28\insrsid11802560
  2860. \par }\pard \qc \li0\ri0\widctlpar\faauto\outlinelevel0\adjustright\rin0\lin0\itap0 {\b\fs30\dbch\af36\insrsid16256136 \hich\af0\dbch\af36\loch\f0 Polygon}{\b\fs30\dbch\af36\insrsid11802560
  2861. \par }\pard \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 {\fs28\insrsid11802560
  2862. \par }\pard \ql \li0\ri0\nowidctlpar\faauto\outlinelevel0\adjustright\rin0\lin0\itap0 {\b\fs24\dbch\af36\insrsid11802560 \hich\af0\dbch\af36\loch\f0 PROBLEM}{\dbch\af36\insrsid11802560 \hich\af0\dbch\af36\loch\f0
  2863. \par }\pard \ql \li0\ri0\nowidctlpar\faauto\adjustright\rin0\lin0\itap0 {\fs24\insrsid11802560
  2864. \par }\pard\plain \s23\qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14175626 \fs20\lang1045\langfe1045\loch\af2\hich\af2\dbch\af13\cgrid\langnp1045\langfenp1045 {\f0\fs24\lang1033\langfe1045\langnp1033\insrsid5787905
  2865. \hich\af0\dbch\af13\loch\f0 A polygon consists of all points on or enclosed by its border. }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid14754587 \hich\af0\dbch\af13\loch\f0 A convex polygon has the property that}{
  2866. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 for any two points }{\i\deleted\f0\fs24\lang1033\langfe1045\revauthdel1\revdttmdel109667815\langnp1033\insrsid7428569\delrsid5511802 \hich\af0\dbch\af13\loch\f0 P}{
  2867. \deleted\f0\fs24\lang1033\langfe1045\revauthdel1\revdttmdel109667815\langnp1033\insrsid7428569\delrsid5511802 \hich\af0\dbch\af13\loch\f0 }{\i\f0\fs24\cf0\revised\lang1033\langfe1045\revauth1\revdttm109667815\langnp1033\insrsid5511802
  2868. \hich\af0\dbch\af13\loch\f0 X}{\f0\fs24\cf0\revised\lang1033\langfe1045\revauth1\revdttm109667815\langnp1033\insrsid5511802 \hich\af0\dbch\af13\loch\f0 }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 and }{
  2869. \i\deleted\f0\fs24\lang1033\langfe1045\revauthdel1\revdttmdel109667815\langnp1033\insrsid7428569\delrsid5511802 \hich\af0\dbch\af13\loch\f0 Q}{\deleted\f0\fs24\lang1033\langfe1045\revauthdel1\revdttmdel109667815\langnp1033\insrsid14754587\delrsid5511802
  2870. \hich\af0\dbch\af13\loch\f0 }{\i\f0\fs24\cf0\revised\lang1033\langfe1045\revauth1\revdttm109667815\langnp1033\insrsid5511802 \hich\af0\dbch\af13\loch\f0 Y}{\f0\fs24\cf0\revised\lang1033\langfe1045\revauth1\revdttm109667815\langnp1033\insrsid5511802
  2871. \hich\af0\dbch\af13\loch\f0 }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid14754587 \hich\af0\dbch\af13\loch\f0 of the polygon, }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 the }{
  2872. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid14754587 \hich\af0\dbch\af13\loch\f0 line }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 segmen\hich\af0\dbch\af13\loch\f0 t connecting }{
  2873. \i\deleted\f0\fs24\lang1033\langfe1045\revauthdel1\revdttmdel109667815\langnp1033\insrsid14175626\delrsid5511802 \hich\af0\dbch\af13\loch\f0 P}{\deleted\f0\fs24\lang1033\langfe1045\revauthdel1\revdttmdel109667815\langnp1033\insrsid7428569\delrsid5511802
  2874. \hich\af0\dbch\af13\loch\f0 }{\i\f0\fs24\cf0\revised\lang1033\langfe1045\revauth1\revdttm109667815\langnp1033\insrsid5511802 \hich\af0\dbch\af13\loch\f0 X}{\f0\fs24\cf0\revised\lang1033\langfe1045\revauth1\revdttm109667815\langnp1033\insrsid5511802
  2875. \hich\af0\dbch\af13\loch\f0 }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 and }{\i\deleted\f0\fs24\lang1033\langfe1045\revauthdel1\revdttmdel109667815\langnp1033\insrsid14175626\delrsid5511802
  2876. \hich\af0\dbch\af13\loch\f0 Q}{\deleted\f0\fs24\lang1033\langfe1045\revauthdel1\revdttmdel109667815\langnp1033\insrsid7428569\delrsid5511802 \hich\af0\dbch\af13\loch\f0 }{
  2877. \i\f0\fs24\cf0\revised\lang1033\langfe1045\revauth1\revdttm109667815\langnp1033\insrsid5511802 \hich\af0\dbch\af13\loch\f0 Y}{\f0\fs24\cf0\revised\lang1033\langfe1045\revauth1\revdttm109667815\langnp1033\insrsid5511802 \hich\af0\dbch\af13\loch\f0 }{
  2878. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 is }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid6168808 \hich\af0\dbch\af13\loch\f0 inside }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569
  2879. \hich\af0\dbch\af13\loch\f0 the polygon. }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid14175626 \hich\af0\dbch\af13\loch\f0 All polygons in this task are convex polygons }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid6449303
  2880. \hich\af0\dbch\af13\loch\f0 with at least two }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 vertices}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid6449303 \hich\af0\dbch\af13\loch\f0 , and all vertices }{
  2881. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid16543568 \hich\af0\dbch\af13\loch\f0 in a polygon }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid6449303 \hich\af0\dbch\af13\loch\f0 are different}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid14754587
  2882. \hich\af0\dbch\af13\loch\f0 and }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid6449303 \hich\af0\dbch\af13\loch\f0 have }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid14754587 \hich\af0\dbch\af13\loch\f0 integer coordinates}{
  2883. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid6449303 \hich\af0\dbch\af13\loch\f0 .}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid2429262 \hich\af0\dbch\af13\loch\f0 }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid5787905 \hich\af0\dbch\af13\loch\f0
  2884. No three vertices of the polygon are collinear.}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid2429262 \hich\af0\dbch\af13\loch\f0 The }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid6688771 \hich\af0\dbch\af13\loch\f0 \hich\f0 word \'93
  2885. \hich\af0\dbch\af13\loch\f0 \hich\f0 polygon\'94\loch\f0 below always refers to such polygons.}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569
  2886. \par }\pard \s23\qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7428569 {\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569
  2887. \par }\pard \s23\qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14175626 {\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 Given two polygons }{
  2888. \i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 A}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 and }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569
  2889. \hich\af0\dbch\af13\loch\f0 B}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid14175626\charrsid14175626 \hich\af0\dbch\af13\loch\f0 ,}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 }{
  2890. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid14175626 \hich\af0\dbch\af13\loch\f0 the}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 Minkowski sum of }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569
  2891. \hich\af0\dbch\af13\loch\f0 A}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 and }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 B}{
  2892. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 consists of all the points of the form (}{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 x}{
  2893. \f0\fs24\lang1033\langfe1045\sub\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 1}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 +}{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569
  2894. \hich\af0\dbch\af13\loch\f0 x}{\f0\fs24\lang1033\langfe1045\sub\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 2}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 , }{
  2895. \i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 y}{\f0\fs24\lang1033\langfe1045\sub\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 1}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569
  2896. \hich\af0\dbch\af13\loch\f0 +}{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 y}{\f0\fs24\lang1033\langfe1045\sub\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 2}{
  2897. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 ) where (}{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 x}{\f0\fs24\lang1033\langfe1045\sub\langnp1033\insrsid7428569
  2898. \hich\af0\dbch\af13\loch\f0 1}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 , }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 y}{
  2899. \f0\fs24\lang1033\langfe1045\sub\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 1}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 ) is a point in }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569
  2900. \hich\af0\dbch\af13\loch\f0 A}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 and (}{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 x}{
  2901. \f0\fs24\lang1033\langfe1045\sub\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 2}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 , }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569
  2902. \hich\af0\dbch\af13\loch\f0 y}{\f0\fs24\lang1033\langfe1045\sub\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 2}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 ) is a point in }{
  2903. \i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 B}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 .}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid14175626
  2904. \hich\af0\dbch\af13\loch\f0 It turns out}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 that the Minkowski}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7807050 \hich\af0\dbch\af13\loch\f0 sum of polygons }{
  2905. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 is also a}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7807050 \hich\af0\dbch\af13\loch\f0 polygon}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569
  2906. \hich\af0\dbch\af13\loch\f0 . The figure below shows an example: two triangles and their Minkowski sum.}{\f0\lang1033\langfe1045\langnp1033\insrsid7428569
  2907. \par }\pard \s23\qc \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7428569 {\f0\cf0\revised\lang1033\langfe1045\revauth2\revauth1\revdttm646540433\revdttm109667828\langnp1033\insrsid15034933
  2908. {\pict{\*\picprop\shplid1028{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fPreferRelativeResize}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}
  2909. \picscalex151\picscaley51\piccropl0\piccropr0\piccropt0\piccropb0\picw7620\pich7620\picwgoal4320\pichgoal4320\wmetafile8\bliptag-1704515076\blipupi290{\*\blipuid 9a6729fcb1116ac6d4439947abc834a3}
  2910. 010009000003da1700000700f607000000002d00000026060f0050004d5350554245505320434f4c4f52444546203d000000010000003c000000010000002e30
  2911. 303000000000000000000000000000000000000000000000000000000000000000000000000000000000000008000000fa020000000000000000000004000000
  2912. 2d0100002d00000026060f0050004d5350554245505320434f4c4f52444546203d000000010000003c000000010000002e303030000000000000000000000000
  2913. 00000000000000000000000000000000000000000000000000000000000007000000fc020000000000000000040000002d010100050000000201010000000500
  2914. 00002e01190000001c000000fb02ffff0000000000009001000000010402010048656c766574696361000000b6090abe1643c7771f43c77720c0c97700003000
  2915. 040000002d0102001c000000fb021000070000000000bc02000000ee0102022253797374656d000000000a0026008a0100000000ffffffff206e12002942c777
  2916. 040000002d01030004000000f0010200050000000c02b8011805050000000b0248fe0000060000002606260002000100060000002606260002000000fd000000
  2917. 26062500f001ee01254d5345505320507265616d626c65205b536f6674656b2076342e305d0d0a2f70705f73617665207361766520646566202f73686f777061
  2918. 6765207b7d206465660d0a2f735f726562656b6f20363620646963742064656620735f726562656b6f20626567696e0d0a2f706963745f626f785f7831203020
  2919. 646566202f706963745f626f785f79312030206465660d0a2f706963745f626f785f78322033323620646566202f706963745f626f785f793220313130206465
  2920. 66202f7363616c655f7468655f706963747572652066616c7365206465660d0a2f70705f636c69702066616c7365206465660d0a2f4342207b207b202f70705f
  2921. 6379206578636820646566202f70705f63782065786368206465660d0a2f70705f636874206578636820646566202f70705f637764206578636820646566207d
  2922. 0d0a73746f70706564206e6f74207b202f70705f636c6970207472756520646566207d206966207d206465660d0a2f42207b207b202f706963745f7931206578
  2923. 636820646566202f706963745f7831206578636820646566202f706963745f7932206578636820646566202f706963745f78322065786368206465667d200d0a
  2924. 73746f70706564206e6f74207b202f7363616c655f7468655f70696374757265207472756520646566207d206966207d206465660d0a2d00000026060f005000
  2925. 4d5350554245505320434f4c4f52444546203d000000010000003c000000010000002e3030300000000000000000000000000000000000000000000000000000
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  3056. 000002000000000000002e3030302e3030302e30303000000000000000000000000000000000000000000000000000000000000008000000fa02000002000000
  3057. 00000000040000002d01060004000000f00104000800000025030200b301d9ffce02d9ff2d00000026060f0050004d5350554245505320434f4c4f5244454620
  3058. 3d000000010000003c000000010000002e3030300000000000000000000000000000000000000000000000000000000000000000000000000000000000000800
  3059. 0000fa0200000000000000000000040000002d01040004000000f00106002d00000026060f0050004d5350554245505320434f4c4f52444546203d0000000100
  3060. 00003c000000010000002e30303000000000000000000000000000000000000000000000000000000000000000000000000000000000000007000000fc020000
  3061. 000000000000040000002d01060004000000f0010500050000000601010000000f000000380501000500aa02e0ffce02d9ffaa02d2ffb102d9ffaa02e0ff2d00
  3062. 000026060f0050004d5350554245505320434f4c4f52444546203d000000010000003c00000002000000000000002e3030302e3030302e303030000000000000
  3063. 00000000000000000000000000000000000000000000000008000000fa0200000200000000000000040000002d01050004000000f00104000e00000025030500
  3064. aa02e0ffce02d9ffaa02d2ffb102d9ffaa02e0ff2d00000026060f0050004d5350554245505320434f4c4f52444546203d000000010000003c00000002000000
  3065. 000000002e3839382e3930322e38393800000000000000000000000000000000000000000000000000000000000008000000fa02000000000000e5e6e5000400
  3066. 00002d01040004000000f00105002d00000026060f0050004d5350554245505320434f4c4f52444546203d000000010000003c00000002000000000000002e38
  3067. 39382e3930322e38393800000000000000000000000000000000000000000000000000000000000007000000fc020000e5e6e5000000040000002d0105000400
  3068. 0000f001060005000000060101000000130000003805010007001704d9ff870349ff8703b9fe1704b9fea70449ffa704d9ff1704d9ff2d00000026060f005000
  3069. 4d5350554245505320434f4c4f52444546203d000000010000003c00000002000000000000002e3030302e3030302e3030300000000000000000000000000000
  3070. 0000000000000000000000000000000008000000fa0200000400000000000000040000002d01060004000000f001040012000000250307001704d9ff870349ff
  3071. 8703b9fe1704b9fea70449ffa704d9ff1704d9ff2d00000026060f0050004d5350554245505320434f4c4f52444546203d000000010000003c00000002000000
  3072. 000000002e3030302e3030302e30303000000000000000000000000000000000000000000000000000000000000008000000fa02000002000000000000000400
  3073. 00002d01040004000000f001060008000000250302008703fdff870352fe2d00000026060f0050004d5350554245505320434f4c4f52444546203d0000000100
  3074. 00003c000000010000002e30303000000000000000000000000000000000000000000000000000000000000000000000000000000000000008000000fa020000
  3075. 0000000000000000040000002d01060004000000f00104002d00000026060f0050004d5350554245505320434f4c4f52444546203d000000010000003c000000
  3076. 010000002e30303000000000000000000000000000000000000000000000000000000000000000000000000000000000000007000000fc020000000000000000
  3077. 040000002d01040004000000f0010500050000000601010000000f0000003805010005008e0376fe870352fe800376fe87036ffe8e0376fe2d00000026060f00
  3078. 50004d5350554245505320434f4c4f52444546203d000000010000003c00000002000000000000002e3030302e3030302e303030000000000000000000000000
  3079. 00000000000000000000000000000000000008000000fa0200000200000000000000040000002d01050004000000f00106000e000000250305008e0376fe8703
  3080. 52fe800376fe87036ffe8e0376fe2d00000026060f0050004d5350554245505320434f4c4f52444546203d000000010000003c00000002000000000000002e30
  3081. 30302e3030302e30303000000000000000000000000000000000000000000000000000000000000008000000fa0200000200000000000000040000002d010600
  3082. 04000000f001050008000000250302006303d9ff0e05d9ff2d00000026060f0050004d5350554245505320434f4c4f52444546203d000000010000003c000000
  3083. 010000002e30303000000000000000000000000000000000000000000000000000000000000000000000000000000000000008000000fa020000000000000000
  3084. 0000040000002d01050004000000f00106002d00000026060f0050004d5350554245505320434f4c4f52444546203d000000010000003c000000010000002e30
  3085. 303000000000000000000000000000000000000000000000000000000000000000000000000000000000000007000000fc020000000000000000040000002d01
  3086. 060004000000f0010400050000000601010000000f000000380501000500ea04e0ff0e05d9ffea04d2fff104d9ffea04e0ff2d00000026060f0050004d535055
  3087. 4245505320434f4c4f52444546203d000000010000003c00000002000000000000002e3030302e3030302e303030000000000000000000000000000000000000
  3088. 00000000000000000000000008000000fa0200000200000000000000040000002d01040004000000f00105000e00000025030500ea04e0ff0e05d9ffea04d2ff
  3089. f104d9ffea04e0ff1c000000fb02ffff000000000000bc02000000010402010054696d657300c77740000000ba090aac1643c7771f43c77720c0c97700003000
  3090. 040000002d010500040000002d01030004000000f00105002d00000026060f0050004d5350554245505320434f4c4f52444546203d000000010000003c000000
  3091. 02000000000000002e3030302e3030302e30303000000000000000000000000000000000000000000000000000000000000008000000fa020000000000000000
  3092. 0000040000002d01050004000000f00104002d00000026060f0050004d5350554245505320434f4c4f52444546203d000000010000003c000000020000000000
  3093. 00002e3030302e3030302e30303000000000000000000000000000000000000000000000000000000000000007000000fc020000000000000000040000002d01
  3094. 040004000000f0010600050000000601020000001f000000380501000d0037017dff44017dff440170ff480170ff48017dff55017dff550180ff480180ff4801
  3095. 8eff44018eff440180ff370180ff37017dff2d00000026060f0050004d5350554245505320434f4c4f52444546203d000000010000003c000000020000000000
  3096. 00002e3030302e3030302e30303000000000000000000000000000000000000000000000000000000000000008000000fa020000000000000000000004000000
  3097. 2d01060004000000f00105002d00000026060f0050004d5350554245505320434f4c4f52444546203d000000010000003c00000002000000000000002e303030
  3098. 2e3030302e30303000000000000000000000000000000000000000000000000000000000000007000000fc020000000000000000040000002d01050004000000
  3099. f0010400050000000601020000001a0000003805020005000500e70278ff060378ff06037cffe7027cffe70278ffe70282ff060382ff060385ffe70285ffe70282ff040000002d01000004000000f0010600040000002d01020004000000f0010500060000002606260002000000030000000000}}{
  3100. \f0\lang1033\langfe1045\langnp1033\insrsid7428569
  3101. \par }\pard \s23\ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7428569 {\f0\lang1033\langfe1045\langnp1033\insrsid7428569
  3102. \par }\pard \s23\qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7428569 {\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 We study a reverse ope}{
  3103. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid2363506 \hich\af0\dbch\af13\loch\f0 ration to the Minkowski sum}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 . For a given polygon }{
  3104. \i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 P}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid14175626 \hich\af0\dbch\af13\loch\f0 , we are looking for }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569
  3105. \hich\af0\dbch\af13\loch\f0 two polygons }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 A}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 and }{
  3106. \i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 B}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid5787905
  3107. \hich\af0\dbch\af13\loch\f0 such }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 that:
  3108. \par {\listtext\pard\plain\s23 \lang1033\langfe1045\dbch\af0\langfenp1045\insrsid7428569 \hich\af0\dbch\af0\loch\f0 -\tab}}\pard \s23\ql \fi-360\li720\ri0\widctlpar\jclisttab\tx720\aspalpha\aspnum\faauto\ls29
  3109. \jclisttab\tx720\aspalpha\aspnum\faauto\ls29\pnrauth1\pnrdate109667815\pnrstart0\pnrxst1\pnrxst0\pnrxst45\pnrxst0\pnrstop4\pnrstart1\pnrrgb0\pnrrgb0\pnrrgb0\pnrrgb0\pnrrgb0\pnrrgb0\pnrrgb0\pnrrgb0\pnrrgb0\pnrstop9
  3110. \pnrstart2\pnrnfc23\pnrnfc23\pnrnfc0\pnrnfc0\pnrnfc0\pnrnfc0\pnrnfc0\pnrnfc0\pnrnfc0\pnrnfc0\pnrnfc0\pnrnfc0\pnrnfc0\pnrnfc0\pnrnfc0\pnrnfc0\pnrnfc0\pnrnfc0\pnrstop18\pnrstart3\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0
  3111. \pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0
  3112. \pnrpnbr0\pnrpnbr0\pnrstop36\adjustright\rin0\lin720\itap0\pararsid7428569 {\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 P}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0
  3113. is the Minkowski sum of }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 A}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 and }{
  3114. \i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 B}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 ,
  3115. \par {\listtext\pard\plain\s23 \lang1033\langfe1045\dbch\af0\langfenp1045\insrsid7428569 \hich\af0\dbch\af0\loch\f0 -\tab}}{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 A}{
  3116. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 has }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid6054904 \hich\af0\dbch\af13\loch\f0 from 2 to 4 different vertices, }{
  3117. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 i.e. it is a segment}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid6054904 \hich\af0\dbch\af13\loch\f0 (2 vertices)}{
  3118. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 , a triangle }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid6054904 \hich\af0\dbch\af13\loch\f0 (3 vertices) }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569
  3119. \hich\af0\dbch\af13\loch\f0 or a quadrilateral}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid6054904 \hich\af0\dbch\af13\loch\f0 (4 vertices}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 ),
  3120. \par {\listtext\pard\plain\s23 \lang1033\langfe1045\dbch\af0\langfenp1045\insrsid7428569 \hich\af0\dbch\af0\loch\f0 -\tab}}{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 A}{
  3121. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 should have as many vertices, as possible, i.e.:
  3122. \par {\listtext\pard\plain\s23 \f10\lang1033\langfe1045\langfenp1045\insrsid7428569 \loch\af10\dbch\af13\hich\f10 \'a7\tab}}\pard \s23\ql \fi-360\li1440\ri0\widctlpar\jclisttab\tx1440\aspalpha\aspnum\faauto\ls30\ilvl1
  3123. \jclisttab\tx1440\aspalpha\aspnum\faauto\ls30\ilvl1\pnrauth1\pnrdate109667815\pnrstart0\pnrxst1\pnrxst0\pnrxst167\pnrxst240\pnrstop4\pnrstart1\pnrrgb0\pnrrgb0\pnrrgb0\pnrrgb0\pnrrgb0\pnrrgb0\pnrrgb0\pnrrgb0\pnrrgb0\pnrstop9
  3124. \pnrstart2\pnrnfc23\pnrnfc23\pnrnfc0\pnrnfc0\pnrnfc0\pnrnfc0\pnrnfc0\pnrnfc0\pnrnfc0\pnrnfc0\pnrnfc0\pnrnfc0\pnrnfc0\pnrnfc0\pnrnfc0\pnrnfc1\pnrnfc0\pnrnfc0\pnrstop18\pnrstart3\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr1\pnrpnbr0\pnrpnbr0
  3125. \pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0\pnrpnbr0
  3126. \pnrpnbr0\pnrpnbr0\pnrstop36\adjustright\rin0\lin1440\itap0\pararsid7428569 {\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 A}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0
  3127. should be a quadrilateral, if possible,
  3128. \par {\listtext\pard\plain\s23 \f10\lang1033\langfe1045\langfenp1045\insrsid7428569 \loch\af10\dbch\af13\hich\f10 \'a7\tab}\hich\af0\dbch\af13\loch\f0 if }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 A}{
  3129. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 cannot be a quadrilateral, it should be a triangle, if possible,
  3130. \par {\listtext\pard\plain\s23 \f10\lang1033\langfe1045\langfenp1045\insrsid7428569 \loch\af10\dbch\af13\hich\f10 \'a7\tab}\hich\af0\dbch\af13\loch\f0 otherwise it should be a segment.
  3131. \par }\pard \s23\qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7428569 {\f0\fs24\lang1033\langfe1045\langnp1033\insrsid14175626
  3132. \par }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 Clearly, neither }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 A}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569
  3133. \hich\af0\dbch\af13\loch\f0 nor }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 B}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 can }{
  3134. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid5787905 \hich\af0\dbch\af13\loch\f0 be }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 equal }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid5787905
  3135. \hich\af0\dbch\af13\loch\f0 to }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 P}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0
  3136. because then the other summand would have to be a poi\hich\af0\dbch\af13\loch\f0 nt, which is not a valid polygon.
  3137. \par }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid14175626
  3138. \par }\pard \s23\qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14175626 {\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0
  3139. You are given a set of input files, each containing a description of a polygon }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 P}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0
  3140. . For e}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid14175626 \hich\af0\dbch\af13\loch\f0 ach input file you should find}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 }{
  3141. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid14175626 \hich\af0\dbch\af13\loch\f0 the}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid14175626
  3142. \hich\af0\dbch\af13\loch\f0 polygons }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 A}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 and }{
  3143. \i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 B}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569\charrsid14175626 \hich\af0\dbch\af13\loch\f0 ,}{
  3144. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid14175626\charrsid14175626 \hich\af0\dbch\af13\loch\f0 }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid14175626 \hich\af0\dbch\af13\loch\f0 as required above, }{
  3145. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 and create an output file containing descriptions of }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 A}{
  3146. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 and }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 B}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid2363506
  3147. \hich\af0\dbch\af13\loch\f0 .\hich\af0\dbch\af13\loch\f0 }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 For the given input files such}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid14175626
  3148. \hich\af0\dbch\af13\loch\f0 polygons }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid14175626\charrsid5787905 \hich\af0\dbch\af13\loch\f0 A}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid14175626 \hich\af0\dbch\af13\loch\f0 and }{
  3149. \i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid14175626\charrsid5787905 \hich\af0\dbch\af13\loch\f0 B}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid14175626 \hich\af0\dbch\af13\loch\f0 can always be found}{
  3150. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid2363506 \hich\af0\dbch\af13\loch\f0 .}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0 If there are many correct results, you should }{
  3151. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid15007950 \hich\af0\dbch\af13\loch\f0 find and output }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid7428569 \hich\af0\dbch\af13\loch\f0
  3152. one of them. You should not submit any programs, just the output files. }{\f0\lang1033\langfe1045\langnp1033\insrsid7428569
  3153. \par }\pard\plain \ql \li0\ri0\nowidctlpar\faauto\adjustright\rin0\lin0\itap0 \fs20\lang1033\langfe2052\loch\af0\hich\af0\dbch\af13\cgrid\langnp1033\langfenp2052 {\fs24\dbch\af36\insrsid11802560
  3154. \par }\pard\plain \s1\ql \li0\ri0\keepn\nowidctlpar\faauto\outlinelevel0\adjustright\rin0\lin0\itap0 \b\fs24\lang1033\langfe2052\loch\af0\hich\af0\dbch\af13\cgrid\langnp1033\langfenp2052 {\dbch\af36\insrsid11802560 \hich\af0\dbch\af36\loch\f0 INPUT
  3155. \par }\pard\plain \ql \li0\ri0\nowidctlpar\faauto\adjustright\rin0\lin0\itap0 \fs20\lang1033\langfe2052\loch\af0\hich\af0\dbch\af13\cgrid\langnp1033\langfenp2052 {\fs24\insrsid11802560
  3156. \par }\pard\plain \s23\qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid11670116 \fs20\lang1045\langfe1045\loch\af2\hich\af2\dbch\af13\cgrid\langnp1045\langfenp1045 {\f0\fs24\lang1033\langfe1045\langnp1033\insrsid11670116
  3157. \hich\af0\dbch\af13\loch\f0 You are given 10 problem instances in the text files named }{\fs24\lang1033\langfe1045\langnp1033\insrsid11670116 \hich\af2\dbch\af13\loch\f2 polygon1.in }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid11670116
  3158. \hich\af0\dbch\af13\loch\f0 to}{\fs24\lang1033\langfe1045\langnp1033\insrsid11670116 \hich\af2\dbch\af13\loch\f2 polygon10.}{\fs24\lang1033\langfe1045\langnp1033\insrsid11670116\charrsid11670116 \hich\af2\dbch\af13\loch\f2 in}{
  3159. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid11670116 \hich\af0\dbch\af13\loch\f0 , where the number after }{\fs24\lang1033\langfe1045\langnp1033\insrsid11670116\charrsid11670116 \hich\af2\dbch\af13\loch\f2 polygon}{
  3160. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid11670116 \hich\af0\dbch\af13\loch\f0 is the input number. Each input file is organized as follows. }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0
  3161. The first line contains one integer }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid11670116 \hich\af0\dbch\af13\loch\f0 N}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid11670116 \hich\af0\dbch\af13\loch\f0 :}{
  3162. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 the number of vertices of the polygo\hich\af0\dbch\af13\loch\f0 n }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 P}{
  3163. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 . The following }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid11670116 \hich\af0\dbch\af13\loch\f0 N}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209
  3164. \hich\af0\dbch\af13\loch\f0 lines describe the vertices in a counter-clockwise order, one vertex per line. Line }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid11670116 \hich\af0\dbch\af13\loch\f0 I}{
  3165. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 +1 (for }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid11670116 \hich\af0\dbch\af13\loch\f0 I}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209
  3166. \hich\af0\dbch\af13\loch\f0 = 1, 2, ..., }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid11670116 \hich\af0\dbch\af13\loch\f0 N}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 ) contains two integers }{
  3167. \i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid11670116 \hich\af0\dbch\af13\loch\f0 X}{\i\f0\fs24\lang1033\langfe1045\sub\langnp1033\insrsid11670116 \hich\af0\dbch\af13\loch\f0 I}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209
  3168. \hich\af0\dbch\af13\loch\f0 and }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid11670116 \hich\af0\dbch\af13\loch\f0 Y}{\i\f0\fs24\lang1033\langfe1045\sub\langnp1033\insrsid11670116 \hich\af0\dbch\af13\loch\f0 I}{
  3169. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid11670116 \hich\af0\dbch\af13\loch\f0 , separated by a space:}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 coordinates of the }{
  3170. \i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid11670116 \hich\af0\dbch\af13\loch\f0 I}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 th vertex of the polygon. All }{
  3171. \f0\fs24\cf0\revised\lang1033\langfe1045\revauth1\revdttm109667815\langnp1033\insrsid5511802 \hich\af0\dbch\af13\loch\f0 input }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 coordin\hich\af0\dbch\af13\loch\f0
  3172. ates are non-negative integers.
  3173. \par }\pard\plain \s2\ql \li0\ri0\keepn\nowidctlpar\faauto\outlinelevel1\adjustright\rin0\lin0\itap0 \b\fs20\lang1033\langfe2052\loch\af0\hich\af0\dbch\af13\cgrid\langnp1033\langfenp2052 {\fs24\insrsid11802560
  3174. \par \hich\af0\dbch\af13\loch\f0 OUTPUT
  3175. \par }\pard\plain \ql \li0\ri0\nowidctlpar\faauto\adjustright\rin0\lin0\itap0 \fs20\lang1033\langfe2052\loch\af0\hich\af0\dbch\af13\cgrid\langnp1033\langfenp2052 {\b\fs24\insrsid11802560
  3176. \par }\pard\plain \s23\qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid16256136 \fs20\lang1045\langfe1045\loch\af2\hich\af2\dbch\af13\cgrid\langnp1045\langfenp1045 {\f0\fs24\lang1033\langfe1045\langnp1033\insrsid11670116
  3177. \hich\af0\dbch\af13\loch\f0 You are to submit 10 output files corresponding to the given input files}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid6822233 \hich\af0\dbch\af13\loch\f0 which describe}{
  3178. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid16256136 \hich\af0\dbch\af13\loch\f0 the required polygons }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid16256136\charrsid16256136 \hich\af0\dbch\af13\loch\f0 A}{
  3179. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid16256136 \hich\af0\dbch\af13\loch\f0 and }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid16256136\charrsid16256136 \hich\af0\dbch\af13\loch\f0 B}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid11670116
  3180. \hich\af0\dbch\af13\loch\f0 .}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid16256136 \hich\af0\dbch\af13\loch\f0 The first line is to contain }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid6822233 \hich\af0\dbch\af13\loch\f0 the }{
  3181. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid16256136 \hich\af0\dbch\af13\loch\f0 text}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid6822233 \hich\af0\dbch\af13\loch\f0 :}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid11670116
  3182. \par }\pard \s23\qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid12403209 {\fs24\lang1033\langfe1045\langnp1033\insrsid16256136 \hich\af2\dbch\af13\loch\f2 #FILE polygon I}{
  3183. \fs24\lang1033\langfe1045\langnp1033\insrsid16256136\charrsid16256136
  3184. \par }\pard \s23\qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid16256136 {\f0\fs24\lang1033\langfe1045\langnp1033\insrsid16256136 \hich\af0\dbch\af13\loch\f0 where integer }{
  3185. \fs24\lang1033\langfe1045\langnp1033\insrsid16256136\charrsid16256136 \hich\af2\dbch\af13\loch\f2 I}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid16256136 \hich\af0\dbch\af13\loch\f0 }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid15007950
  3186. \hich\af0\dbch\af13\loch\f0 (1}{\fs24\dbch\af36\insrsid15007950 \loch\af2\dbch\af36\hich\f2 \u8804\'3d}{\fs24\lang1033\langfe1045\langnp1033\insrsid15007950\charrsid15007950 \hich\af2\dbch\af13\loch\f2 I}{\fs24\dbch\af36\insrsid15007950
  3187. \loch\af2\dbch\af36\hich\f2 \u8804\'3d}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid15007950 \hich\af0\dbch\af13\loch\f0 10)}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid16256136 \hich\af0\dbch\af13\loch\f0 is the numbe}{
  3188. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid4548687 \hich\af0\dbch\af13\loch\f0 r of the respective input file.}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid3632309
  3189. \par
  3190. \par }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid16256136 \hich\af0\dbch\af13\loch\f0 The}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid3806791 \hich\af0\dbch\af13\loch\f0 output format is similar to the input format}{
  3191. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid16256136 \hich\af0\dbch\af13\loch\f0 . The second }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid2980745 \hich\af0\dbch\af13\loch\f0 line }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid16256136
  3192. \hich\af0\dbch\af13\loch\f0 is to contain one integer }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid16256136 \hich\af0\dbch\af13\loch\f0 N}{\i\f0\fs24\lang1033\langfe1045\sub\langnp1033\insrsid16256136\charrsid16256136 \hich\af0\dbch\af13\loch\f0 A}{
  3193. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid16256136 \hich\af0\dbch\af13\loch\f0 : the number of vertices in }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid16256136\charrsid15007950 \hich\af0\dbch\af13\loch\f0 A}{
  3194. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid16256136 \hich\af0\dbch\af13\loch\f0 (}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209
  3195. \hich\af0\dbch\af13\loch\f0 2}{\fs24\dbch\af36\insrsid16256136 \loch\af2\dbch\af36\hich\f2 \u8804\'3d}{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid16256136 \hich\af0\dbch\af13\loch\f0 N}{
  3196. \i\f0\fs24\lang1033\langfe1045\sub\langnp1033\insrsid16256136\charrsid16256136 \hich\af0\dbch\af13\loch\f0 A}{\fs24\dbch\af36\insrsid16256136 \loch\af2\dbch\af36\hich\f2 \u8804\'3d}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209
  3197. \hich\af0\dbch\af13\loch\f0 4}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid16256136 \hich\af0\dbch\af13\loch\f0 ).}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 The following }{
  3198. \i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid16256136 \hich\af0\dbch\af13\loch\f0 N}{\i\f0\fs24\lang1033\langfe1045\sub\langnp1033\insrsid16256136\charrsid16256136 \hich\af0\dbch\af13\loch\f0 A}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209
  3199. \hich\af0\dbch\af13\loch\f0 lines describe the vertices of }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 A}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid16256136 \hich\af0\dbch\af13\loch\f0 in the}{
  3200. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 counter-clockwise order, one vertex per line. Line }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid16256136 \hich\af0\dbch\af13\loch\f0 I}{
  3201. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid1144037 \hich\af0\dbch\af13\loch\f0 +2}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 (for }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid16256136
  3202. \hich\af0\dbch\af13\loch\f0 I}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 = 1, 2, ..., }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid16256136 \hich\af0\dbch\af13\loch\f0 N}{
  3203. \i\f0\fs24\lang1033\langfe1045\sub\langnp1033\insrsid16256136\charrsid16256136 \hich\af0\dbch\af13\loch\f0 A}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 ) contains two integers }{
  3204. \i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid16256136 \hich\af0\dbch\af13\loch\f0 X}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 and }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid16256136
  3205. \hich\af0\dbch\af13\loch\f0 Y}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid16256136 \hich\af0\dbch\af13\loch\f0 , separated by a space: }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 coordinates of the }{
  3206. \i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid16256136 \hich\af0\dbch\af13\loch\f0 I}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 th vertex of the polygon }{
  3207. \i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 A}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 . }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid16256136
  3208. \par
  3209. \par }\pard \s23\qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid3632309 {\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 Line }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid16256136
  3210. \hich\af0\dbch\af13\loch\f0 N}{\i\f0\fs24\lang1033\langfe1045\sub\langnp1033\insrsid16256136\charrsid16256136 \hich\af0\dbch\af13\loch\f0 A}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 +}{
  3211. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid1144037 \hich\af0\dbch\af13\loch\f0 3}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 should contain one integer }{
  3212. \i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid16256136 \hich\af0\dbch\af13\loch\f0 N}{\i\f0\fs24\lang1033\langfe1045\sub\langnp1033\insrsid16256136 \hich\af0\dbch\af13\loch\f0 B}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid16256136
  3213. \hich\af0\dbch\af13\loch\f0 : the number }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid2363506 \hich\af0\dbch\af13\loch\f0 of }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid16256136 \hich\af0\dbch\af13\loch\f0 vertices in}{
  3214. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 B}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209
  3215. \hich\af0\dbch\af13\loch\f0 , }{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid3632309 \hich\af0\dbch\af13\loch\f0 (2}{\fs24\dbch\af36\insrsid3632309 \loch\af2\dbch\af36\hich\f2 \u8804\'3d}{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid3632309
  3216. \hich\af0\dbch\af13\loch\f0 N}{\i\f0\fs24\lang1033\langfe1045\sub\langnp1033\insrsid3632309\charrsid3632309 \hich\af0\dbch\af13\loch\f0 B}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid3632309 \hich\af0\dbch\af13\loch\f0 ). }{
  3217. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 The following }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid3632309 \hich\af0\dbch\af13\loch\f0 N}{\i\f0\fs24\lang1033\langfe1045\sub\langnp1033\insrsid3632309
  3218. \hich\af0\dbch\af13\loch\f0 B}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 lines describe the vertices of }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 B}{
  3219. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid3632309 \hich\af0\dbch\af13\loch\f0 in the}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 counter-clockwise order, one vertex per line. Line }{
  3220. \i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid3632309 \hich\af0\dbch\af13\loch\f0 N}{\i\f0\fs24\lang1033\langfe1045\sub\langnp1033\insrsid3632309 \hich\af0\dbch\af13\loch\f0 A}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209
  3221. \hich\af0\dbch\af13\loch\f0 +}{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid3632309 \hich\af0\dbch\af13\loch\f0 J}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 +}{
  3222. \f0\fs24\lang1033\langfe1045\langnp1033\insrsid1144037 \hich\af0\dbch\af13\loch\f0 3}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 (for }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid3632309
  3223. \hich\af0\dbch\af13\loch\f0 J}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 = 1, 2, ..., }{\i\f0\fs24\lang1033\langfe1045\langnp1033\insrsid3632309 \hich\af0\dbch\af13\loch\f0 N}{
  3224. \i\f0\fs24\lang1033\langfe1045\sub\langnp1033\insrsid3632309 \hich\af0\dbch\af13\loch\f0 B}{\f0\fs24\lang1033\langfe1045\langnp1033\insrsid12403209 \hich\af0\dbch\af13\loch\f0 ) contains two integers }{
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  3767. \hich\af0\dbch\af13\loch\f0 For the above input, either of the }{\fs24\insrsid2363506 \hich\af0\dbch\af13\loch\f0 below }{\fs24\insrsid3632309\charrsid3632309 \hich\af0\dbch\af13\loch\f0 output files (see also }{\fs24\insrsid2899922
  3768. \hich\af0\dbch\af13\loch\f0 the }{\fs24\insrsid3632309\charrsid3632309 \hich\af0\dbch\af13\loch\f0 figure}{\fs24\insrsid2899922 \hich\af0\dbch\af13\loch\f0 s}{\fs24\insrsid3632309\charrsid3632309 \hich\af0\dbch\af13\loch\f0
  3769. ) is correct, since in both cases }{\i\fs24\insrsid3632309\charrsid3632309 \hich\af0\dbch\af13\loch\f0 A}{\fs24\insrsid3632309\charrsid3632309 \hich\af0\dbch\af13\loch\f0 is a triangle and it cannot be a quadrilateral.
  3770. \par }{\cf0\revised\lang1024\langfe1024\revauth2\revdttm646540433\noproof\insrsid13592033 {\shp{\*\shpinst\shpleft3624\shptop2642\shpright7120\shpbottom3983\shpfhdr0\shpbxcolumn\shpbxignore\shpbypara\shpbyignore\shpwr2\shpwrk0\shpfblwtxt0\shpz3\shplid1031
  3771. {\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pib}{\sv {\pict\picscalex33\picscaley33\piccropl0\piccropr0\piccropt0\piccropb0
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