it has to be done in c language with linux environment. and I want the video solution with screen shots and command to run.
A2_guide.dvi School of Computer Science University of Guelph CIS*3490 The Analysis and Design of Algorithms Winter 2023 Instructor: Fangju Wang Assignment 2 Guide 1.1 Develop a brute force algorithm based on the definition of inversion, which checks every pair of (A[i], A[j]) for i < j.="" 1.2="" modify="" the="" mergesort="" algorithm="" to="" count="" the="" number="" of="" inversions.="" 2.1="" develop="" a="" brute="" force="" algorithm="" based="" on="" the="" definition="" of="" convex="" hull.="" the="" algorithm="" is="" to="" find="" the="" convex="" hull="" for="" a="" given="" set="" of="" points.="" please="" see="" figure="" 3.5="" on="" page="" 111.="" develop="" your="" algorithm="" to="" find="" the="" nails="" holding="" the="" rubber-band,="" that="" is,="" to="" find="" the="" extreme="" points.="" a="" brute="" force="" algorithm="" checks="" every="" point="" in="" the="" given="" data="" set="" to="" see="" if="" it="" is="" an="" extreme="" point="" (nail)="" of="" the="" convex="" polygon.="" an="" extreme="" point="" is="" an="" ending="" point="" of="" a="" straight="" boundary="" line.="" two="" points="" define="" a="" boundary="" line="" if="" all="" the="" other="" points="" are="" on="" one="" side="" of="" the="" line.="" please="" read="" •="" “convex-hull="" problem”="" on="" page="" 109="" for="" the="" definition="" and="" an="" example="" of="" convex="" hull;="" •="" the="" definition="" of="" extreme="" point="" (page="" 112);="" •="" the="" equation="" of="" a="" straight="" line="" through="" two="" points="" (page="" 112);="" •="" the="" method="" to="" check="" if="" all="" the="" points="" in="" a="" set="" are="" on="" one="" side="" of="" a="" line="" (page="" 112).="" then="" design="" an="" algorithm="" to="" find="" the="" shortest="" path.="" •="" the="" equation="" for="" calculating="" the="" distance="" between="" points="" s1="(x1," y1)="" and="" s2="(x2," y2)="" is="" √="" (x1="" −="" x2)2="" +="" (y1="" −="" y2)2="" 2.2="" design="" a="" divide-and-conquer="" algorithm="" of="" θ(n="" log="" n)="" based="" on="" the="" idea="" of="" quicksort.="" please="" read="" •="" “convex-hull="" problem”="" on="" page="" 195="" for="" the="" quick="" hull="" algorithm.="" then="" design="" an="" algorithm="" to="" find="" the="" shortest="" path.="" 1="" •="" you="" can="" use="" the="" algorithm="" of="" 2.1="" for="" finding="" the="" shortest="" path.="" 1.3,="" 2.3="" make="" sure="" your="" programs="" can="" be="" correctly="" compiled="" and="" executed="" on="" the="" linux="" system="" in="" socs.="" your="" work="" should="" be="" submitted="" as="" a="" tar="" file="" containing="" files="" like="" readme,="" design,="" p11.c,="" p12.c,="" p21.c,="" p22.c,="" makefile.="" please="" do="" not="" submit="" the="" data="" files.="" any="" compilation="" error="" or="" warning="" will="" result="" in="" a="" mark="" deduction.="" there="" will="" be="" some="" marks="" allocated="" for="" documentation.="" each="" file="" should="" have="" a="" comment="" at="" the="" beginning="" containing="" your="" name,="" id,="" date,="" and="" the="" assignment="" name.="" the="" readme="" file="" should="" contain="" the="" following:="" •="" name,="" id,="" and="" assignment="" number="" •="" a="" brief="" description="" of="" how="" to="" compile="" and="" run="" your="" programs.="" the="" design="" file="" should="" include="" the="" algorithms="" you="" design="" for="" 1.1,="" 1.2,="" 2.1,="" and="" 2.2,="" efficiency="" analysis,="" and="" comparisons.="" this="" can="" be="" a="" text,="" pdf="" or="" scanned="" file.="" in="" your="" c="" files,="" each="" function="" should="" have="" a="" brief="" comment="" describing="" its="" purpose.="" also,="" any="" section="" of="" code="" where="" it="" is="" not="" easily="" apparent="" what="" the="" code="" does="" should="" have="" a="" short="" comment.="" you="" can="" use="" timespec="" get()="" to="" get="" program="" running="" time.="" 2="" a2.dvi="" school="" of="" computer="" science="" university="" of="" guelph="" cis*3490="" the="" analysis="" and="" design="" of="" algorithms="" winter="" 2023="" instructor:="" fangju="" wang="" assignment="" 2="" (100%)="" in="" this="" assignment,="" you="" practice="" algorithm="" design,="" expression,="" analysis,="" and="" implementation.="" the="" analysis="" includes="" both="" theoretical="" analysis="" and="" empirical="" analysis.="" for="" the="" following="" two="" questions,="" please="" design="" algorithms,="" and="" express="" them="" in="" the="" pseu-="" docode="" that="" we="" are="" using="" (in="" the="" textbook="" and="" lecture="" slides),="" and="" then="" implement="" your="" algo-="" rithms="" in="" the="" c="" programming="" language.="" for="" each="" question,="" you="" are="" required="" to="" submit="" both="" your="" design="" in="" pseudocode="" and="" implementation="" in="" c,="" as="" well="" as="" algorithm="" analysis="" and="" comparison.="" 1.="" counting="" inversions="" (40%)="" let="" a[0..n−="" 1]="" be="" an="" array="" of="" n="" distinct="" numbers.="" a="" pair="" of="" array="" elements="" (a[i],="" a[j])="" is="" called="" an="" inversion="" if="" a[i]=""> A[j] for i < j. 1.1 design a brute force algorithm to count the number of inversions in an array, analyze the number of repetitions of its basic operation, and determine the efficiency class. 1.2 design a recursive divide-and-conquer algorithm of θ(n log n) to count the number of inversions in an array, set up a recurrence to analyze the number of repetitions of its basic operation of the best case, and determine the efficiency class. use the master theorem to verify the efficiency class you determine. 1.3 implement the two algorithms, and test them by using data a2 q1.txt, which includes 50,000 integers. your programs are required to display the numbers of inversions and execution time. compare the two algorithms in execution time and theoretical analysis. a different file of the same size (same number of integers) will be used to grade your programs. your programs should prompt to enter a file name. 2. finding shortest path around (60%) let s be a set of points in a 2-dimensional plane. the convex hull of set s is the smallest convex set containing s. (please find more about the convex hull problem, especially the definition of extreme point, on pages 109-113 in the textbook.) it is assumed that not all the points in s are on a straight line. the points in the convex hull can be viewed as fence posts that support a fence surrounding all the points in s. let s1 and s2 be two points in the hull. a path from s1 to s2 is a sequence 1 of points in the hull. by viewing points in the hull as fence posts, we may consider a path as a sequence of posts holding a fence segment. the problem of finding shortest path around is to find the shortest path from s1 to s2 that cannot cross inside the fenced area, but it goes along the fence. from s1 to s2, there are two paths along the fence, going in the two directions. the problem is to find the shorter one. 2.1 design a brute force algorithm to solve the shortest path around problem and analyze its efficiency. 2.2 design a recursive divide-and-conquer algorithm of θ(n log n) to solve the shortest path around problem, set up a recurrence to analyze the number of repetitions of the basic operation to compute the hull (for the best case), and determine the efficiency class. use the master theorem to verify the efficiency class that you determine. 2.3 implement the two algorithms and test them using data a2 q2.txt. the file contains 30,000 points (pairs of x-y coordinates). your programs will be graded by using this data file and two points s1 and s2 that are in the hull of the points in the file. your programs are required to display the number of points on the path, the length of the path, and x-y coordinates of the points (in the order from s1 to s2 inclusive). your programs are also required to display execution time for hull computing. compare the two algorithms in execution time and theoretical analysis. also, for grading your programs, we request that, when a program identify a hull point, it displays the x-y coordinates. you can hard-code the name of the data file in your programs. the file (data a2 q2.txt) will be used to grade your programs. your program should prompt to enter s1 and s2. note: write your own code for this assignment. no code from any source is allowed. due time: 08:00am, monday, february 13, 2023. submit your work as a tar file to moodle. 2 1804289383 846930886 1681692777 1714636915 1957747793 424238335 719885386 1649760492 596516649 1189641421 1025202362 1350490027 783368690 1102520059 2044897763 1967513926 1365180540 1540383426 304089172 1303455736 35005211 521595368 294702567 1726956429 336465782 861021530 278722862 233665123 2145174067 468703135 1101513929 1801979802 1315634022 635723058 1369133069 1125898167 1059961393 2089018456 628175011 1656478042 1131176229 1653377373 859484421 1914544919 608413784 756898537 1734575198 1973594324 149798315 2038664370 1129566413 184803526 412776091 1424268980 1911759956 749241873 137806862 42999170 982906996 135497281 511702305 2084420925 1937477084 1827336327 572660336 1159126505 805750846 1632621729 1100661313 1433925857 1141616124 84353895 939819582 2001100545 1998898814 1548233367 610515434 1585990364 1374344043 760313750 1477171087 356426808 945117276 1889947178 1780695788 709393584 491705403 1918502651 752392754 1474612399 2053999932 1264095060 1411549676 1843993368 943947739 1984210012 855636226 1749698586 1469348094 1956297539 1036140795 463480570 2040651434 1975960378 317097467 1892066601 1376710097 927612902 1330573317 603570492 1687926652 660260756 959997301 485560280 402724286 593209441 1194953865 894429689 364228444 1947346619 221558440 270744729 1063958031 1633108117 2114738097 2007905771 1469834481 822890675 1610120709 791698927 631704567 498777856 1255179497 524872353 327254586 1572276965 269455306 1703964683 352406219 1600028624 160051528 2040332871 112805732 1120048829 378409503 515530019 1713258270 1573363368 1409959708 2077486715 1373226340 1631518149 200747796 289700723 1117142618 168002245 150122846 439493451 990892921 1760243555 1231192379 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371653516 962033002 1047372231 1707746139 1372261796 2073785404 333582338 628974580 1894519218 786039021 1931513970 1605539862 1021784812 586235379 2032894977 262692685 1859031536 1338299904 1543324176 1985433483 395279207 606199759 358984857 435889744 1344593499 378469911 272020127 488663950 2033505236 29777560 345367818 257675105 991810563 1392740049 1965421244 216588711 1319041805 151519934 845563291 1066077375 937558955 629593614 524133589 1959343768 1215828993 409544918 74552805 927376882 1747844822 1617876982 765326717 2143124030 76593093 1124311574 431530126 1421186593 1502781486 703550253 1909850543 1388803074 733327814 107734713 1646478179 1725138377 1500474762 1464415775 1941727088 672032919 1615935710 639806732 1738110294 406011017 1269400346 114760235 217871137 337745691 524305153 292423943 1265122573 124666328 1910300925 2030449291 120306710 1986894018 1007277217 551836836 1260596963 362575055 1255387090 1022963858 1751378130 1988714904 1130698571 1250372661 1566369633 483689685 567304789 1360613073 1155722604 35756851 2000419805 746349250 441767868 1122336503 861109485 659639006 1460082195 1385414639 952062949 577721120 1510080967 714880226 460686763 1630387677 554290596 1467963981 34740865 1814887560 1830539036 1290127955 690367770 1434433518 1131359211 1821066342 537322532 550245196 157272379 1104627321 1910858270 1312994984 1140384172 1763794427 2059344234 1582152040 738647283 772970072 94307398 51245830 10901063 1046370347 628966950 1520982030 1761250573 1089653714 1003886059 168057522 410134047 1038626924 1982945082 93189435 181271232 525829204 1527622954 1312630443 199411898 2064945486 1862875640 356684278 1022089159 1626250262 1669679262 14989683 1242561041 1581539848 1597141723 1981208324 207026272 1691449122 2032454154 217927335 590335821 513937457 1738909365 204102747 1603591171 595311776 372160269 2013725218 1633938701 207621703 2106914653 1815209933 733450907 1487053959 980356728 932862806 1404515797 695748720 1289547084 279121308 174515334 811742698 294110991 1417076376 245798898 1891252715 1250801052 452825171 1435218189 1135771559 670752506 2025554010 1649709016 262178224 82173109 1105816539 857490000 454333378 972058109 343945053 661955081 931489114 11671338 1395405989 271059426 992028067 180785147 1675575223 1687776787 1470332231 1954696532 1862292122 134591281 101323875 1131884850 380390179 1992576590 235202254 833215350 1280311131 1370973813 1503967857 1158381494 873199181 1766146081 1240554603 1979015720 476152433 1694887982 803590181 820097487 209359415 1735079296 831768825 1604765404 2006138722 1823796892 1785550551 1534230297 1364090032 1108399134 1341443181 1078898506 1242990415 1442767057 63299708 1623380595 1287859999 298501962 309112297 420687483 1669475776 1813080154 1579068977 395191309 1431742587 672139932 226723382 1907895021 219544266 1030313563 580508860 428903682 617909211 1412277685 2033669086 476564285 1088590930 1671735990 2010794583 305197314 632651476 1204754116 1384095820 1875641892 500037525 1447395528 1351538839 1787897525 1745897490 1660651136 61101360 1267889618 1326247643 1640170337 j.="" 1.1="" design="" a="" brute="" force="" algorithm="" to="" count="" the="" number="" of="" inversions="" in="" an="" array,="" analyze="" the="" number="" of="" repetitions="" of="" its="" basic="" operation,="" and="" determine="" the="" efficiency="" class.="" 1.2="" design="" a="" recursive="" divide-and-conquer="" algorithm="" of="" θ(n="" log="" n)="" to="" count="" the="" number="" of="" inversions="" in="" an="" array,="" set="" up="" a="" recurrence="" to="" analyze="" the="" number="" of="" repetitions="" of="" its="" basic="" operation="" of="" the="" best="" case,="" and="" determine="" the="" efficiency="" class.="" use="" the="" master="" theorem="" to="" verify="" the="" efficiency="" class="" you="" determine.="" 1.3="" implement="" the="" two="" algorithms,="" and="" test="" them="" by="" using="" data="" a2="" q1.txt,="" which="" includes="" 50,000="" integers.="" your="" programs="" are="" required="" to="" display="" the="" numbers="" of="" inversions="" and="" execution="" time.="" compare="" the="" two="" algorithms="" in="" execution="" time="" and="" theoretical="" analysis.="" a="" different="" file="" of="" the="" same="" size="" (same="" number="" of="" integers)="" will="" be="" used="" to="" grade="" your="" programs.="" your="" programs="" should="" prompt="" to="" enter="" a="" file="" name.="" 2.="" finding="" shortest="" path="" around="" (60%)="" let="" s="" be="" a="" set="" of="" points="" in="" a="" 2-dimensional="" plane.="" the="" convex="" hull="" of="" set="" s="" is="" the="" smallest="" convex="" set="" containing="" s.="" (please="" find="" more="" about="" the="" convex="" hull="" problem,="" especially="" the="" definition="" of="" extreme="" point,="" on="" pages="" 109-113="" in="" the="" textbook.)="" it="" is="" assumed="" that="" not="" all="" the="" points="" in="" s="" are="" on="" a="" straight="" line.="" the="" points="" in="" the="" convex="" hull="" can="" be="" viewed="" as="" fence="" posts="" that="" support="" a="" fence="" surrounding="" all="" the="" points="" in="" s.="" let="" s1="" and="" s2="" be="" two="" points="" in="" the="" hull.="" a="" path="" from="" s1="" to="" s2="" is="" a="" sequence="" 1="" of="" points="" in="" the="" hull.="" by="" viewing="" points="" in="" the="" hull="" as="" fence="" posts,="" we="" may="" consider="" a="" path="" as="" a="" sequence="" of="" posts="" holding="" a="" fence="" segment.="" the="" problem="" of="" finding="" shortest="" path="" around="" is="" to="" find="" the="" shortest="" path="" from="" s1="" to="" s2="" that="" cannot="" cross="" inside="" the="" fenced="" area,="" but="" it="" goes="" along="" the="" fence.="" from="" s1="" to="" s2,="" there="" are="" two="" paths="" along="" the="" fence,="" going="" in="" the="" two="" directions.="" the="" problem="" is="" to="" find="" the="" shorter="" one.="" 2.1="" design="" a="" brute="" force="" algorithm="" to="" solve="" the="" shortest="" path="" around="" problem="" and="" analyze="" its="" efficiency.="" 2.2="" design="" a="" recursive="" divide-and-conquer="" algorithm="" of="" θ(n="" log="" n)="" to="" solve="" the="" shortest="" path="" around="" problem,="" set="" up="" a="" recurrence="" to="" analyze="" the="" number="" of="" repetitions="" of="" the="" basic="" operation="" to="" compute="" the="" hull="" (for="" the="" best="" case),="" and="" determine="" the="" efficiency="" class.="" use="" the="" master="" theorem="" to="" verify="" the="" efficiency="" class="" that="" you="" determine.="" 2.3="" implement="" the="" two="" algorithms="" and="" test="" them="" using="" data="" a2="" q2.txt.="" the="" file="" contains="" 30,000="" points="" (pairs="" of="" x-y="" coordinates).="" your="" programs="" will="" be="" graded="" by="" using="" this="" data="" file="" and="" two="" points="" s1="" and="" s2="" that="" are="" in="" the="" hull="" of="" the="" points="" in="" the="" file.="" your="" programs="" are="" required="" to="" display="" the="" number="" of="" points="" on="" the="" path,="" the="" length="" of="" the="" path,="" and="" x-y="" coordinates="" of="" the="" points="" (in="" the="" order="" from="" s1="" to="" s2="" inclusive).="" your="" programs="" are="" also="" required="" to="" display="" execution="" time="" for="" hull="" computing.="" compare="" the="" two="" algorithms="" in="" execution="" time="" and="" theoretical="" analysis.="" also,="" for="" grading="" your="" programs,="" we="" request="" that,="" when="" a="" program="" identify="" a="" hull="" point,="" it="" displays="" the="" x-y="" coordinates.="" you="" can="" hard-code="" the="" name="" of="" the="" data="" file="" in="" your="" programs.="" the="" file="" (data="" a2="" q2.txt)="" will="" be="" used="" to="" grade="" your="" programs.="" your="" program="" should="" prompt="" to="" enter="" s1="" and="" s2.="" note:="" write="" your="" own="" code="" for="" this="" assignment.="" no="" code="" from="" any="" source="" is="" allowed.="" due="" time:="" 08:00am,="" monday,="" february="" 13,="" 2023.="" submit="" your="" work="" as="" a="" tar="" file="" to="" moodle.="" 2="" 1804289383="" 846930886="" 1681692777="" 1714636915="" 1957747793="" 424238335="" 719885386="" 1649760492="" 596516649="" 1189641421="" 1025202362="" 1350490027="" 783368690="" 1102520059="" 2044897763="" 1967513926="" 1365180540="" 1540383426="" 304089172="" 1303455736="" 35005211="" 521595368="" 294702567="" 1726956429="" 336465782="" 861021530="" 278722862="" 233665123="" 2145174067="" 468703135="" 1101513929="" 1801979802="" 1315634022="" 635723058="" 1369133069="" 1125898167="" 1059961393="" 2089018456="" 628175011="" 1656478042="" 1131176229="" 1653377373="" 859484421="" 1914544919="" 608413784="" 756898537="" 1734575198="" 1973594324="" 149798315="" 2038664370="" 1129566413="" 184803526="" 412776091="" 1424268980="" 1911759956="" 749241873="" 137806862="" 42999170="" 982906996="" 135497281="" 511702305="" 2084420925="" 1937477084="" 1827336327="" 572660336="" 1159126505="" 805750846="" 1632621729="" 1100661313="" 1433925857="" 1141616124="" 84353895="" 939819582="" 2001100545="" 1998898814="" 1548233367="" 610515434="" 1585990364="" 1374344043="" 760313750="" 1477171087="" 356426808="" 945117276="" 1889947178="" 1780695788="" 709393584="" 491705403="" 1918502651="" 752392754="" 1474612399="" 2053999932="" 1264095060="" 1411549676="" 1843993368="" 943947739="" 1984210012="" 855636226="" 1749698586="" 1469348094="" 1956297539="" 1036140795="" 463480570="" 2040651434="" 1975960378="" 317097467="" 1892066601="" 1376710097="" 927612902="" 1330573317="" 603570492="" 1687926652="" 660260756="" 959997301="" 485560280="" 402724286="" 593209441="" 1194953865="" 894429689="" 364228444="" 1947346619="" 221558440="" 270744729="" 1063958031="" 1633108117="" 2114738097="" 2007905771="" 1469834481="" 822890675="" 1610120709="" 791698927="" 631704567="" 498777856="" 1255179497="" 524872353="" 327254586="" 1572276965="" 269455306="" 1703964683="" 352406219="" 1600028624="" 160051528="" 2040332871="" 112805732="" 1120048829="" 378409503="" 515530019="" 1713258270="" 1573363368="" 1409959708="" 2077486715="" 1373226340="" 1631518149="" 200747796="" 289700723="" 1117142618="" 168002245="" 150122846="" 439493451="" 990892921="" 1760243555="" 1231192379="" 1622597488="" 111537764="" 338888228="" 2147469841="" 438792350="" 1911165193="" 269441500="" 2142757034="" 116087764="" 1869470124="" 155324914="" 8936987="" 1982275856="" 1275373743="" 387346491="" 350322227="" 841148365="" 1960709859="" 1760281936="" 771151432="" 1186452551="" 1244316437="" 971899228="" 1476153275="" 213975407="" 1139901474="" 1626276121="" 653468858="" 2130794395="" 1239036029="" 1884661237="" 1605908235="" 1350573793="" 76065818="" 1605894428="" 1789366143="" 1987231011="" 1875335928="" 1784639529="" 2103318776="" 1597322404="" 1939964443="" 2112255763="" 1432114613="" 1067854538="" 352118606="" 1782436840="" 1909002904="" 165344818="" 1395235128="" 532670688="" 1351797369="" 492067917="" 1504569917="" 680466996="" 706043324="" 496987743="" 159259470="" 1359512183="" 480298490="" 1398295499="" 1096689772="" 2086206725="" 601385644="" 1172755590="" 1544617505="" 243268139="" 1012502954="" 1272469786="" 2027907669="" 968338082="" 722308542="" 1820388464="" 933110197="" 6939507="" 740759355="" 1285228804="" 1789376348="" 502278611="" 1450573622="" 1037127828="" 1034949299="" 654887343="" 1529195746="" 392035568="" 1335354340="" 87755422="" 889023311="" 1494613810="" 1447267605="" 1369321801="" 745425661="" 396473730="" 1308044878="" 1346811305="" 1569229320="" 705178736="" 1590079444="" 434248626="" 1977648522="" 1470503465="" 1402586708="" 552473416="" 1143408282="" 188213258="" 559412924="" 1884167637="" 1473442062="" 201305624="" 238962600="" 776532036="" 1238433452="" 1273911899="" 1431419379="" 620145550="" 1665947468="" 619290071="" 707900973="" 407487131="" 2113903881="" 7684930="" 1776808933="" 711845894="" 404158660="" 937370163="" 2058657199="" 1973387981="" 1642548899="" 1501252996="" 260152959="" 1472713773="" 824272813="" 1662739668="" 2025187190="" 1967681095="" 1850952926="" 437116466="" 1704365084="" 1176911340="" 638422090="" 1943327684="" 1953443376="" 1876855542="" 1069755936="" 1237379107="" 349517445="" 588219756="" 1856669179="" 1057418418="" 995706887="" 1823089412="" 1065103348="" 625032172="" 387451659="" 1469262009="" 1562402336="" 298625210="" 1295166342="" 1057467587="" 1799878206="" 1555319301="" 382697713="" 476667372="" 1070575321="" 260401255="" 296864819="" 774044599="" 697517721="" 2001229904="" 1950955939="" 1335939811="" 1797073940="" 1756915667="" 1065311705="" 719346228="" 846811127="" 1414829150="" 1307565984="" 555996658="" 324763920="" 155789224="" 231602422="" 1389867269="" 780821396="" 619054081="" 711645630="" 195740084="" 917679292="" 2006811972="" 1253207672="" 570073850="" 1414647625="" 1635905385="" 1046741222="" 337739299="" 1896306640="" 1343606042="" 1111783898="" 446340713="" 1197352298="" 915256190="" 1782280524="" 846942590="" 524688209="" 700108581="" 1566288819="" 1371499336="" 2114937732="" 726371155="" 1927495994="" 292218004="" 882160379="" 11614769="" 1682085273="" 1662981776="" 630668850="" 246247255="" 1858721860="" 1548348142="" 105575579="" 964445884="" 2118421993="" 1520223205="" 452867621="" 1017679567="" 1857962504="" 201690613="" 213801961="" 822262754="" 648031326="" 1411154259="" 1737518944="" 282828202="" 110613202="" 114723506="" 982936784="" 1676902021="" 1486222842="" 950390868="" 255789528="" 1266235189="" 1242608872="" 1137949908="" 1277849958="" 777210498="" 653448036="" 1908518808="" 1023457753="" 364686248="" 1309383303="" 1129033333="" 1329132133="" 1280321648="" 501772890="" 1781999754="" 150517567="" 212251746="" 1983690368="" 364319529="" 1034514500="" 484238046="" 1775473788="" 624549797="" 767066249="" 1886086990="" 739273303="" 1750003033="" 1415505363="" 78012497="" 552910253="" 1671294892="" 1344247686="" 1795519125="" 661761152="" 474613996="" 425245975="" 1315209188="" 235649157="" 1448703729="" 1679895436="" 1545032460="" 430253414="" 861543921="" 677870460="" 932026304="" 496060028="" 828388027="" 1144278050="" 332266748="" 1192707556="" 31308902="" 816504794="" 820697697="" 655858699="" 1583571043="" 559301039="" 1395132002="" 1186090428="" 1974806403="" 1473144500="" 1739000681="" 1498617647="" 669908538="" 1387036159="" 12895151="" 1144522535="" 1812282134="" 1328104339="" 1380171692="" 1113502215="" 860516127="" 777720504="" 1543755629="" 1722060049="" 1455590964="" 328298285="" 70636429="" 136495343="" 1472576335="" 402903177="" 1329202900="" 1503885238="" 1219407971="" 2416949="" 12260289="" 655495367="" 561717988="" 1407392292="" 1841585795="" 389040743="" 733053144="" 1433102829="" 1887658390="" 1402961682="" 672655340="" 1900553541="" 400000569="" 337453826="" 1081174232="" 1780172261="" 1450956042="" 1941690360="" 410409117="" 847228023="" 1516266761="" 1866000081="" 1175526309="" 1586903190="" 2002495425="" 500618996="" 1989806367="" 1184214677="" 2004504234="" 1061730690="" 1186631626="" 2016764524="" 1717226057="" 1748349614="" 1276673168="" 1411328205="" 2137390358="" 2009726312="" 696947386="" 1877565100="" 1265204346="" 1369602726="" 1630634994="" 1665204916="" 1707056552="" 564325578="" 1297893529="" 1010528946="" 358532290="" 1708302647="" 1857756970="" 1874799051="" 1426819080="" 885799631="" 1314218593="" 1281830857="" 1386418627="" 1156541312="" 318561886="" 1243439214="" 70788355="" 1505193512="" 1112720090="" 1788014412="" 1106059479="" 241909610="" 1051858969="" 1095966189="" 104152274="" 1748806355="" 826047641="" 1369356620="" 970925433="" 309198987="" 887077888="" 530498338="" 873524566="" 37487770="" 1541027284="" 1232056856="" 1745790417="" 1251300606="" 959372260="" 1025125849="" 2137100237="" 126107205="" 159473059="" 1376035217="" 1282648518="" 478034945="" 471990783="" 1353436873="" 1983228458="" 1584710873="" 993967637="" 941804289="" 1826620483="" 2045826607="" 2037770478="" 1930772757="" 1647149314="" 716334471="" 1152645729="" 470591100="" 1025533459="" 2039723618="" 1001089438="" 1899058025="" 2077211388="" 394633074="" 983631233="" 1675518157="" 1645933681="" 1943003493="" 553160358="" 1635550270="" 2069110699="" 712633417="" 864101839="" 1204275569="" 1190668363="" 1336092622="" 410228794="" 1026413173="" 773319847="" 1404196431="" 1968217462="" 452456682="" 1302539390="" 1858504292="" 235745791="" 802205057="" 427355115="" 1388391521="" 1272796157="" 1452888574="" 1280631491="" 126401947="" 1204462951="" 1210359231="" 521035021="" 40610537="" 738393740="" 19485054="" 1983614030="" 1291554098="" 1655035325="" 1905241081="" 2004187516="" 371653516="" 962033002="" 1047372231="" 1707746139="" 1372261796="" 2073785404="" 333582338="" 628974580="" 1894519218="" 786039021="" 1931513970="" 1605539862="" 1021784812="" 586235379="" 2032894977="" 262692685="" 1859031536="" 1338299904="" 1543324176="" 1985433483="" 395279207="" 606199759="" 358984857="" 435889744="" 1344593499="" 378469911="" 272020127="" 488663950="" 2033505236="" 29777560="" 345367818="" 257675105="" 991810563="" 1392740049="" 1965421244="" 216588711="" 1319041805="" 151519934="" 845563291="" 1066077375="" 937558955="" 629593614="" 524133589="" 1959343768="" 1215828993="" 409544918="" 74552805="" 927376882="" 1747844822="" 1617876982="" 765326717="" 2143124030="" 76593093="" 1124311574="" 431530126="" 1421186593="" 1502781486="" 703550253="" 1909850543="" 1388803074="" 733327814="" 107734713="" 1646478179="" 1725138377="" 1500474762="" 1464415775="" 1941727088="" 672032919="" 1615935710="" 639806732="" 1738110294="" 406011017="" 1269400346="" 114760235="" 217871137="" 337745691="" 524305153="" 292423943="" 1265122573="" 124666328="" 1910300925="" 2030449291="" 120306710="" 1986894018="" 1007277217="" 551836836="" 1260596963="" 362575055="" 1255387090="" 1022963858="" 1751378130="" 1988714904="" 1130698571="" 1250372661="" 1566369633="" 483689685="" 567304789="" 1360613073="" 1155722604="" 35756851="" 2000419805="" 746349250="" 441767868="" 1122336503="" 861109485="" 659639006="" 1460082195="" 1385414639="" 952062949="" 577721120="" 1510080967="" 714880226="" 460686763="" 1630387677="" 554290596="" 1467963981="" 34740865="" 1814887560="" 1830539036="" 1290127955="" 690367770="" 1434433518="" 1131359211="" 1821066342="" 537322532="" 550245196="" 157272379="" 1104627321="" 1910858270="" 1312994984="" 1140384172="" 1763794427="" 2059344234="" 1582152040="" 738647283="" 772970072="" 94307398="" 51245830="" 10901063="" 1046370347="" 628966950="" 1520982030="" 1761250573="" 1089653714="" 1003886059="" 168057522="" 410134047="" 1038626924="" 1982945082="" 93189435="" 181271232="" 525829204="" 1527622954="" 1312630443="" 199411898="" 2064945486="" 1862875640="" 356684278="" 1022089159="" 1626250262="" 1669679262="" 14989683="" 1242561041="" 1581539848="" 1597141723="" 1981208324="" 207026272="" 1691449122="" 2032454154="" 217927335="" 590335821="" 513937457="" 1738909365="" 204102747="" 1603591171="" 595311776="" 372160269="" 2013725218="" 1633938701="" 207621703="" 2106914653="" 1815209933="" 733450907="" 1487053959="" 980356728="" 932862806="" 1404515797="" 695748720="" 1289547084="" 279121308="" 174515334="" 811742698="" 294110991="" 1417076376="" 245798898="" 1891252715="" 1250801052="" 452825171="" 1435218189="" 1135771559="" 670752506="" 2025554010="" 1649709016="" 262178224="" 82173109="" 1105816539="" 857490000="" 454333378="" 972058109="" 343945053="" 661955081="" 931489114="" 11671338="" 1395405989="" 271059426="" 992028067="" 180785147="" 1675575223="" 1687776787="" 1470332231="" 1954696532="" 1862292122="" 134591281="" 101323875="" 1131884850="" 380390179="" 1992576590="" 235202254="" 833215350="" 1280311131="" 1370973813="" 1503967857="" 1158381494="" 873199181="" 1766146081="" 1240554603="" 1979015720="" 476152433="" 1694887982="" 803590181="" 820097487="" 209359415="" 1735079296="" 831768825="" 1604765404="" 2006138722="" 1823796892="" 1785550551="" 1534230297="" 1364090032="" 1108399134="" 1341443181="" 1078898506="" 1242990415="" 1442767057="" 63299708="" 1623380595="" 1287859999="" 298501962="" 309112297="" 420687483="" 1669475776="" 1813080154="" 1579068977="" 395191309="" 1431742587="" 672139932="" 226723382="" 1907895021="" 219544266="" 1030313563="" 580508860="" 428903682="" 617909211="" 1412277685="" 2033669086="" 476564285="" 1088590930="" 1671735990="" 2010794583="" 305197314="" 632651476="" 1204754116="" 1384095820="" 1875641892="" 500037525="" 1447395528="" 1351538839="" 1787897525="" 1745897490="" 1660651136="" 61101360="" 1267889618="" 1326247643="">