{"id":321,"date":"2013-02-01T16:30:00","date_gmt":"2013-02-01T08:30:00","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/226"},"modified":"2013-02-01T16:30:00","modified_gmt":"2013-02-01T08:30:00","slug":"fzu_noip_1032_infinite_number_-_binary_decision","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=321","title":{"rendered":"fzu_noip 1032 (\u65e0\u7a77\u6570-\u8fdb\u4f4d\u5224\u5b9a)"},"content":{"rendered":"<p align=\"center\"><span style=\"color:blue\">\u65e0\u7a77\u6570<\/span><\/p>\n<p align=\"center\"><span style=\"color:#008100\">\u65f6\u9650\uff1a<\/span><span style=\"color:#008100\">1s<\/span><span style=\"color:#008100\">\u5185\u5b58\uff1a<\/span><span style=\"color:#008100\">32M<\/span><\/p>\n<p align=\"left\"><strong><span style=\"color:blue\">\u2605\u95ee\u9898\u63cf\u8ff0<\/span><span style=\"color:blue\">:<\/span><\/strong><\/p>\n<p>\u6211\u4eec\u751f\u6210\u4e24\u4e2a\u65e0\u7a77\u5927\u7684\u6570\uff0c\u7b2c\u4e00\u4e2a\u6570\u662f\u628a\u6240\u6709\u7684\u81ea\u7136\u6570\u94fe\u63a5\u8d77\u6765\u7ec4\u6210\u7684\u6570\u5b57\uff1b\u7b2c\u4e8c\u4e2a\u6570\u662f\u628a\u6240\u6709\u81ea\u7136\u6570\u7684\u5e73\u65b9\u8fde\u63a5\u8d77\u6765\u7ec4\u6210\u7684\u6570\u3002\u5bf9\u8fd9\u4e24\u4e2a\u6570\u6c42\u548c\uff0c\u5982\u4e0b\uff1a<\/p>\n<p>&nbsp;123456789101112131415161718192021...<\/p>\n<p>&#43; 149162536496481100121144169196225...<\/p>\n<p>= 272619325597593231536305887388246...<\/p>\n<p>\u73b0\u5728\u7ed9\u4f60\u4e00\u4e2a\u6574\u6570k\uff0c\u95ee\u548c\u4ece\u5de6\u5f80\u53f3\u6570\u7b2ck\u4f4d\u7684\u6570\u7801\u662f\u591a\u5c11\uff1f<\/p>\n<p align=\"left\"><strong><span style=\"color:blue\">\u2605\u6570\u636e\u8f93\u5165\uff1a<\/span><\/strong><\/p>\n<p>\u8f93\u5165\u6570\u636e\u6709\u591a\u7ec4\uff0c\u6bcf\u7ec4\u6570\u636e\u8f93\u5165\u4e00\u884c\uff0c\u6709\u4e00\u4e2a\u6570k\u3002\u5bf9\u4e8e100%\u7684\u6570\u636e\uff0ck&lt;=2147483647<\/p>\n<p align=\"left\"><strong><span style=\"color:blue\">\u2605\u7ed3\u679c\u8f93\u51fa<\/span><span style=\"color:blue\">:<\/span><\/strong><\/p>\n<p>\u5bf9\u4e8e\u6bcf\u7ec4\u6570\u636e\uff0c\u8f93\u51fa\u4e00\u4e2a\u6574\u6570N\uff0c\u4ece\u5de6\u5f80\u53f3\u6570\u7b2ck\u4f4d\u7684\u6570\u7801\u3002<\/p>\n<div align=\"center\">\n<table cellspacing=\"0\" cellpadding=\"0\" border=\"1\">\n<tbody>\n<tr>\n<td valign=\"top\">\n<p align=\"left\"><strong><span style=\"color:blue\">\u8f93\u5165\u793a\u4f8b<\/span><\/strong><\/p>\n<\/td>\n<td valign=\"top\">\n<p><strong><span style=\"color:blue\">\u8f93\u51fa\u793a\u4f8b<\/span><\/strong><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p align=\"left\">5<\/p>\n<p align=\"left\">6<\/p>\n<p align=\"left\">7<\/p>\n<p align=\"left\">8<\/p>\n<\/td>\n<td valign=\"top\">\n<p align=\"left\">1<\/p>\n<p align=\"left\">9<\/p>\n<p align=\"left\">3<\/p>\n<p align=\"left\">2<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<div align=\"center\">&nbsp;<\/div>\n<div align=\"left\"><span style=\"font-size:14px\">\u5148\u7b97\u51fa\u7b2ck\u4f4d\u7684Ai\u548cBi\uff0c\u7136\u540e\u76f8\u52a0\uff0c\u8003\u8651\u662f\u5426\u52a0\u8fc7\u5934\u3002<\/span><\/div>\n<div align=\"left\"><span style=\"font-size:14px\">\u63a5\u4e0b\u6765\u7528search_fi(k:longint) \u5224\u65ad\u7b2ck\u4f4d\u662f\u5426\u4f1a\u4ee4\u524d\u4e00\u4f4d\u8fdb\u4f4d\uff0c\u5219<\/span><\/div>\n<div align=\"left\"><span style=\"font-size:14px\"><img decoding=\"async\" src=\"http:\/\/nike0good.jp1.rpvhost.net\/wp-content\/uploads\/csdn\/other_site\/img_my_1359721608_3186.png\" alt=\"\" \/><br \/>\n<\/span><\/div>\n<div align=\"left\"><span style=\"font-size:14px\"><br \/>\n<\/span><\/div>\n<div align=\"left\"><span style=\"font-size:14px\"><\/span><\/p>\n<pre name=\"code\" class=\"delphi\">const\n   a:array[1..19,1..2] of int64=((1,3),(4,9),(10,31),(32,99),(100,316),(317,999),(1000,3162),(3163,9999),(10000,31622),(31623,99999),(100000,316227),(316228,999999),(1000000,3162277),(3162278,9999999),(10000000,31622776),(31622777,99999999),\n   (100000000,316227766),(316227767,999999999),(1000000000,2147483647));\nvar\n   k:longint;\nfunction search_ai(k:longint):longint;\nvar\n   i,j,d,k2,g:int64;\nbegin\n   d:=1;i:=9;\n   while (true) do\n   begin\n      if (k-d*i&gt;0) then\n      begin\n         dec(k,d*i);\n         i:=i*10;inc(d);\n      end\n      else break;\n   end;\n   k2:=i div 9+(k-1) div d;\n   g:=(k-1) mod d+1;\n   g:=d-g+1;\n   while (g&gt;1) do begin k2:=k2 div 10;dec(g); end;\n   exit(k2 mod 10);\nend;\n{\nfunction search_bi(k:longint):longint;\nvar\n   i,j:int64;\n   head:longint;\nbegin\n   head:=1;j:=10; i:=1;\n   while (i&lt;=2147483647 ) do\n   begin\n      if ((i*i) div j&gt;0) then\n      begin\n         write('(',head,',',i-1,')',',');\n         head:=i; j:=j*10;\n      end;\n      inc(i);\n   end;\nend;      }\n\n\nfunction search_bi(k:longint):longint;\nvar\n   i:longint;\n   g,k2:int64;\nbegin\n   i:=1;\n   while (k&gt;i*(a[i,2]-a[i,1]+1)) do\n   begin\n      dec(k,i*(a[i,2]-a[i,1]+1));\n      inc(i);\n   end;\n\n   k2:=(k-1) div i+1;\n   k2:=a[i,1]-1+k2;\n   k2:=k2*k2;\n   g:=(k-1) mod i+1;\n   g:=i-g+1;\n\n   while (g&gt;1) do begin k2:=k2 div 10;dec(g); end;\n   exit(k2 mod 10);\nend;\nfunction search_fi(k:longint):longint;\nvar\n   i:longint;\nbegin\n   i:=search_ai(k)+search_bi(k);\n   if (i&lt;=8) then exit(0)\n   else if (i&gt;9) then exit(1)\n   else exit(search_fi(k+1));\n\nend;\nbegin\n\/\/   assign(output,'dabiao.out');\n\/\/   rewrite(output);\n\n   while not eof do\n   begin\n      readln(k);\n      writeln((search_bi(k)+search_ai(k)+search_fi(k+1)) mod 10);\n\n\n   end;\n\n\/\/   search_bi(1);\n\/\/close(output);\nend.<\/pre>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u65e0\u7a77\u6570 \u65f6\u9650\uff1a1s\u5185\u5b58\uff1a32M \u2605\u95ee\u9898\u63cf\u8ff0: \u6211\u4eec\u751f\u6210\u4e24\u4e2a\u65e0\u7a77\u5927\u7684\u6570\uff0c\u7b2c\u4e00\u4e2a\u6570\u662f\u628a\u6240\u6709\u7684\u81ea\u7136\u6570\u94fe\u63a5\u8d77\u6765\u7ec4\u6210\u7684\u6570 [&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":[82],"class_list":["post-321","post","type-post","status-publish","format-standard","hentry","category-defaultcategory","tag-number_theory"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.9 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ 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property=\"article:published_time\" content=\"2013-02-01T08:30:00+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/nike0good.jp1.rpvhost.net\/wp-content\/uploads\/csdn\/other_site\/img_my_1359721608_3186.png\" \/>\n<meta name=\"author\" content=\"nike0good\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"nike0good\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 \u5206\" \/>\n<script type=\"application\/ld+json\" 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