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  • nyoj 164 Game of Connections

     

    Game of Connections

    时间限制：1000 ms  |  内存限制：65535 KB
    难度：3
     
    描述
    This is a small but ancient game. You are supposed to write down the numbers 1, 2, 3, . . . , 2n - 1, 2n consecutively in clockwise order on the ground to form a circle, and then, to draw some straight line segments to connect them into number pairs. Every number must be connected to exactly one another. 
    And, no two segments are allowed to intersect. 
    It's still a simple game, isn't it? But after you've written down the 2n numbers, can you tell me in how many different ways can you connect the numbers into pairs? Life is harder, right?
     
    输入
    Each line of the input file will be a single positive number n, except the last line, which is a number -1.
    You may assume that 1 <= n <= 100.
    输出
    For each n, print in a single line the number of ways to connect the 2n numbers into pairs
    样例输入
    2
3
-1
    样例输出
    2
5
    来源
    POJ
    上传者
    iphxer
    求卡特南数 我直接打表的
    嘿嘿标程是用java 写的 其实我也想用java来写的 java写大数挺好的
    View Code 
      1  
  2 #include <stdio.h>
  3 
  4 char list[100][100]={
  5   "1",
  6   "2",
  7   "5",
  8   "14",
  9   "42",
 10   "132",
 11   "429",
 12   "1430",
 13   "4862",
 14   "16796",
 15   "58786",
 16   "208012",
 17   "742900",
 18   "2674440",
 19   "9694845",
 20   "35357670",
 21   "129644790",
 22   "477638700",
 23   "1767263190",
 24   "6564120420",
 25   "24466267020",
 26   "91482563640",
 27   "343059613650",
 28   "1289904147324",
 29   "4861946401452",
 30   "18367353072152",
 31   "69533550916004",
 32   "263747951750360",
 33   "1002242216651368",
 34   "3814986502092304",
 35   "14544636039226909",
 36   "55534064877048198",
 37   "212336130412243110",
 38   "812944042149730764",
 39   "3116285494907301262",
 40   "11959798385860453492",
 41   "45950804324621742364",
 42   "176733862787006701400",
 43   "680425371729975800390",
 44   "2622127042276492108820",
 45   "10113918591637898134020",
 46   "39044429911904443959240",
 47   "150853479205085351660700",
 48   "583300119592996693088040",
 49   "2257117854077248073253720",
 50   "8740328711533173390046320",
 51   "33868773757191046886429490",
 52   "131327898242169365477991900",
 53   "509552245179617138054608572",
 54   "1978261657756160653623774456",
 55   "7684785670514316385230816156",
 56   "29869166945772625950142417512",
 57   "116157871455782434250553845880",
 58   "451959718027953471447609509424",
 59   "1759414616608818870992479875972",
 60   "6852456927844873497549658464312",
 61   "26700952856774851904245220912664",
 62   "104088460289122304033498318812080",
 63   "405944995127576985730643443367112",
 64   "1583850964596120042686772779038896",
 65   "6182127958584855650487080847216336",
 66   "24139737743045626825711458546273312",
 67   "94295850558771979787935384946380125",
 68   "368479169875816659479009042713546950",
 69   "1440418573150919668872489894243865350",
 70   "5632681584560312734993915705849145100",
 71   "22033725021956517463358552614056949950",
 72   "86218923998960285726185640663701108500",
 73   "337485502510215975556783793455058624700",
 74   "1321422108420282270489942177190229544600",
 75   "5175569924646105559418940193995065716350",
 76   "20276890389709399862928998568254641025700",
 77   "79463489365077377841208237632349268884500",
 78   "311496878311103321137536291518809134027240",
 79   "1221395654430378811828760722007962130791020",
 80   "4790408930363303911328386208394864461024520",
 81   "18793142726809884575211361279087545193250040",
 82   "73745243611532458459690151854647329239335600",
 83   "289450081175264899454283846029490767264392230",
 84   "1136359577947336271931632877004667456667613940",
 85   "4462290049988320482463241297506133183499654740",
 86   "17526585015616776834735140517915655636396234280",
 87   "68854441132780194707888052034668647142985206100",
 88   "270557451039395118028642463289168566420671280440",
 89   "1063353702922273835973036658043476458723103404520",
 90   "4180080073556524734514695828170907458428751314320",
 91   "16435314834665426797069144960762886143367590394940",
 92   "64633260585762914370496637486146181462681535261000",
 93   "254224158304000796523953440778841647086547372026600",
 94   "1000134600800354781929399250536541864362461089950800",
 95   "3935312233584004685417853572763349509774031680023800",
 96   "15487357822491889407128326963778343232013931127835600",
 97   "60960876535340415751462563580829648891969728907438000",
 98   "239993345518077005168915776623476723006280827488229600",
 99   "944973797977428207852605870454939596837230758234904050",
100   "3721443204405954385563870541379246659709506697378694300",
101   "14657929356129575437016877846657032761712954950899755100",
102   "57743358069601357782187700608042856334020731624756611000",
103   "227508830794229349661819540395688853956041682601541047340",
104   "896519947090131496687170070074100632420837521538745909320"
105 };
106 
107 int main(void)
108 {
109  int k;
110  while (scanf("%ld",&k)==1)
111  {
112   if (k==-1)
113    break;
114   printf("%s\n",list[k-1]);
115  }
116  return 0;
117 }
118
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  • 原文地址：https://www.cnblogs.com/wujianwei/p/2637031.html
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