{"id":549,"date":"2012-08-03T14:30:00","date_gmt":"2012-08-03T06:30:00","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/6"},"modified":"2012-08-03T14:30:00","modified_gmt":"2012-08-03T06:30:00","slug":"poj_2084_catalan","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=549","title":{"rendered":"POJ 2084 (Catalan\u6570)"},"content":{"rendered":"<p>\u5361\u7279\u5170\u6570\u4e09\u5927\u516c\u5f0f<\/p>\n<p>C(n)=C(n-1)*(4*n-2)\/(n&#43;1)<\/p>\n<p>C(n)=C(2n-1,n&#43;1)-C(2n-1,n-1)<\/p>\n<p>C(n)=C(2n,n)\/(n&#43;1)<\/p>\n<p>\n<\/p>\n<p><pre name=\"code\" class=\"delphi\">Program p2084;\nConst\n   F=10000;\nType\n   arr=record\n       a:array[1..10000] of longint;\n       len:longint;\n       end;\nvar\n   n,i,j:longint;\n   c:array[1..101] of arr;\nProcedure Mulpily(a:arr;b:longint;var c:arr);\nvar\n   i,j:longint;\nbegin\n   fillchar(c,sizeof(c),0);\n   for i:=1 to a.len do\n   begin\n      inc(c.a[i],a.a[i]*b);\n      inc(c.a[i+1],c.a[i] div F);\n      c.a[i]:=c.a[i] mod F;\n   end;\n   c.len:=a.len;\n   while c.a[c.len+1]&gt;0 do\n   begin\n      inc(c.len);\n      inc(c.a[c.len+1],c.a[c.len] div F);\n      c.a[c.len]:=c.a[c.len] mod F;\n   end;\n   while (c.len&gt;1) and (c.a[c.len]=0) do dec(c.len);\n\nend;\nProcedure Divede(a:arr;b:longint;var c:arr);\nvar\n   i,j,d:longint;\nbegin\n   fillchar(c,sizeof(c),0);\n   d:=0;\n   for i:=a.len downto 1 do\n   begin\n      d:=d*F+a.a[i];\n      c.a[i]:=d div b;\n      d:=d mod b;\n   end;\n   c.len:=a.len;\n   while (c.len&gt;1) and (c.a[c.len]=0) do dec(c.len);\n\nend;\nProcedure prin(a:arr);\nvar\n   i,j:longint;\nbegin\n   write(a.a[a.len]);\n   for i:=a.len-1 downto 1 do\n   begin\n      if a.a[i]&lt;1000 then write('0');\n      if a.a[i]&lt;100 then write('0');\n      if a.a[i]&lt;10 then write('0');\n      write(a.a[i]);\n   end;\n   writeln;\nend;\nbegin\n   fillchar(c,sizeof(c),0);\n   c[1].len:=1;\n   c[1].a[1]:=1;\n   c[2].len:=1;\n   c[2].a[1]:=1;\n   for i:=3 to 101 do\n   begin\n      Mulpily(c[i-1],4*i-2,c[i]);\n      divede(c[i],i+1,c[i]);\n   end;\n   read(n);\n   while (n&lt;&gt;-1) do\n   begin\n      prin(c[n+1]);\n      read(n);\n   end;\n\nend.<\/pre><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5361\u7279\u5170\u6570\u4e09\u5927\u516c\u5f0f C(n)=C(n-1)*(4*n-2)\/(n&#43;1) C(n)=C(2n-1,n&#038;#4 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_coblocks_attr":"","_coblocks_dimensions":"","_coblocks_responsive_height":"","_coblocks_accordion_ie_support":"","footnotes":""},"categories":[3],"tags":[111,127],"class_list":["post-549","post","type-post","status-publish","format-standard","hentry","category-defaultcategory","tag-combinatorial_mathematics","tag-high-precision"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - 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