{"id":605,"date":"2009-09-01T22:47:00","date_gmt":"2009-09-01T02:47:00","guid":{"rendered":""},"modified":"2013-11-24T21:03:31","modified_gmt":"2013-11-24T13:03:31","slug":"%e5%9b%9e%e6%ba%af%e6%b3%95","status":"publish","type":"post","link":"https:\/\/kyle.ai\/blog\/605.html","title":{"rendered":"\u56de\u6eaf\u6cd5"},"content":{"rendered":"<p>\u56de\u6eaf\u6cd5\u662f\u4e00\u79cd\u65e2\u5e26\u6709\u7cfb\u7edf\u6027\u53c8\u5e26\u6709\u8df3\u8dc3\u6027\u7684\u641c\u7d22\u6cd5\uff0c\u5b83\u7684\u57fa\u672c\u601d\u60f3\u662f\uff1a\u5728\u641c\u7d22\u8fc7\u7a0b\u4e2d\uff0c\u5f53\u63a2\u7d22\u5230\u67d0\u4e00\u6b65\u65f6\uff0c\u53d1\u73b0\u539f\u5148\u7684\u9009\u62e9\u8fbe\u4e0d\u5230\u76ee\u6807\uff0c\u5c31\u9000\u56de\u5230\u4e0a\u4e00\u6b65\u91cd\u65b0\u9009\u62e9\u3002\u5b83\u4e3b\u8981\u7528\u6765\u89e3\u51b3\u4e00\u4e9b\u8981\u7ecf\u8fc7\u8bb8\u591a\u6b65\u9aa4\u624d\u80fd\u5b8c\u6210\u7684\uff0c\u800c\u6bcf\u4e2a\u6b65\u9aa4\u90fd\u6709\u82e5\u5e72\u79cd\u53ef\u80fd\u7684\u5206\u652f\uff0c\u4e3a\u4e86\u5b8c\u6210\u8fd9\u4e00\u8fc7\u7a0b\uff0c\u9700\u8981\u9075\u5b88\u67d0\u4e9b\u89c4\u5219\uff0c\u4f46\u8fd9\u4e9b\u89c4\u5219\u53c8\u65e0\u6cd5\u7528\u6570\u5b66\u516c\u5f0f\u6765\u63cf\u8ff0\u7684\u4e00\u7c7b\u95ee\u9898\u3002\u4e0b\u9762\u901a\u8fc7\u5b9e\u4f8b\u6765\u4e86\u89e3\u56de\u6eaf\u6cd5\u7684\u601d\u60f3\u53ca\u5176\u5728\u8ba1\u7b97\u673a\u4e0a\u5b9e\u73b0\u7684\u57fa\u672c\u65b9\u6cd5\u3002<\/p>\n<p>\u4f8b1\u3001\u4eceN\u4e2a\u81ea\u7136\u6570(1,2,\u2026,n)\u4e2d\u9009\u51far\u4e2a\u6570\u7684\u6240\u6709\u7ec4\u5408\u3002<br \/>\n\u7b97\u6cd5\u5206\u6790\uff1a\u8bbe\u8fd9r\u4e2a\u6570\u4e3aa1,a2,\u2026ar,\u628a\u5b83\u4eec\u4ece\u5927\u5230\u5c0f\u6392\u5217\uff0c\u5219\u6ee1\u8db3\uff1a<br \/>\n\uff081\uff09 a1&gt;a2&gt;\u2026&gt;ar;<br \/>\n\uff082\uff09 \u5176\u4e2d\u7b2ci\u4f4d\u6570(1&lt;=ir-i;<br \/>\n\u6211\u4eec\u6309\u4ee5\u4e0a\u539f\u5219\u5148\u786e\u5b9a\u7b2c\u4e00\u4e2a\u6570\uff0c\u518d\u9010\u4f4d\u751f\u6210\u6240\u6709\u7684r\u4e2a\u6570\uff0c\u5982\u679c\u5f53\u524d\u6570\u7b26\u5408\u8981\u6c42\uff0c\u5219\u6dfb\u52a0\u4e0b\u4e00\u4e2a\u6570;\u5426\u5219\u8fd4\u56de\u5230\u4e0a\u4e00\u4e2a\u6570\uff0c\u6539\u53d8\u4e0a\u4e00\u4e2a\u6570\u7684\u503c\u518d\u5224\u65ad\u662f\u5426\u7b26\u5408\u8981\u6c42\uff0c\u5982\u679c\u7b26\u5408\u8981\u6c42\uff0c\u5219\u7ee7\u7eed\u6dfb\u52a0\u4e0b\u4e00\u4e2a\u6570\uff0c\u5426\u5219\u8fd4\u56de\u5230\u4e0a\u4e00\u4e2a\u6570\uff0c\u6539\u53d8\u4e0a\u4e00\u4e2a\u6570\u7684\u503c\u2026\u2026\u6309\u6b64\u89c4\u5219\u4e0d\u65ad\u5faa\u73af\u641c\u7d22\uff0c\u76f4\u5230\u627e\u51far\u4e2a\u6570\u7684\u7ec4\u5408\uff0c\u8fd9\u79cd\u6c42\u89e3\u65b9\u6cd5\u5c31\u662f\u56de\u6eaf\u6cd5\u3002<br \/>\n\u5982\u679c\u6309\u4ee5\u4e0a\u65b9\u6cd5\u751f\u6210\u4e86\u7b2ci\u4f4d\u6570ai\uff0c\u4e0b\u4e00\u6b65\u7684\u7684\u5904\u7406\u4e3a\uff1a<br \/>\n\uff081\uff09 \u82e5ai&gt;r-i\u4e14i=r\uff0c\u5219\u8f93\u51fa\u8fd9r\u4e2a\u6570\u5e76\u6539\u53d8ai\u7684\u503c:ai=ai-1;<br \/>\n\uff082\uff09 \u82e5ai&gt;r-i\u4e14i\u2260r\uff0c\u5219\u7ee7\u7eed\u751f\u6210\u4e0b\u4e00\u4f4dai+1=ai-1;<br \/>\n\uff083\uff09 \u82e5air-1\u5219\u91cd\u590d\uff1a<br \/>\n\u82e5a[i]&gt;r-i\uff0c\u2460\u82e5i=r\uff0c\u5219\u8f93\u51fa\u89e3\uff0c\u5e76\u4e14a[i]:=a[i]-1;<br \/>\n\u2461\u82e5i&lt;&gt;r\uff0c\u5219\u7ee7\u7eed\u751f\u6210\u4e0b\u4e00\u4f4d\uff1aa[i+1]:=a[i]-1; i:=i+1;<br \/>\n\u82e5 a[i] \u7b2c\u4e09\u6b65\uff1a\u7ed3\u675f\uff1b<br \/>\n\u7a0b\u5e8f\u5b9e\u73b0\uff1a<\/p>\n<pre class=\"brush: delphi; title: ; notranslate\" title=\"\">\r\n{ TODO : \u4eceN\u4e2a\u81ea\u7136\u6570(1,2,\u2026,n)\u4e2d\u9009\u51far\u4e2a\u6570\u7684\u6240\u6709\u7ec4\u5408 }\r\nprocedure main1;\r\nvar n,r,i,j:integer;\r\n    a:array&#x5B;1..10] of integer;\r\nbegin\r\nbegin\r\n  readln(n,r);i:=1;a&#x5B;1]:=n;\r\n  repeat\r\n    if  a&#x5B;i]&gt;r-i  then {\u7b26\u5408\u6761\u4ef6 }\r\n      if i=r  then     {\u8f93\u51fa}\r\n      begin\r\n        for j:=1 to r do write(a&#x5B;j]:3);\r\n        writeln;\r\n        a&#x5B;i]:=a&#x5B;i]-1;\r\n      end\r\n      else             {\u7ee7\u7eed\u641c\u7d22}\r\n      begin\r\n        a&#x5B;i+1]:=a&#x5B;i]-1;\r\n        i:=i+1;\r\n      end\r\n    else                {\u56de\u6eaf}\r\n    begin\r\n      i:=i-1;\r\n      a&#x5B;i]:=a&#x5B;i]-1;\r\n    end;\r\n  until  a&#x5B;1]=r-1;\r\nend;\r\n\r\nend;\r\n<\/pre>\n<p>\u4e0b\u9762\u6211\u4eec\u518d\u901a\u8fc7\u53e6\u4e00\u4e2a\u4f8b\u5b50\u770b\u770b\u56de\u6eaf\u5728\u4fe1\u606f\u5b66\u5965\u8d5b\u4e2d\u7684\u5e94\u7528\u3002<br \/>\n\u4f8b2 \u6570\u7684\u5212\u5206\uff08noip2001tg\uff09<br \/>\n\u95ee\u9898\u63cf\u8ff0 \u6574\u6570n\u5206\u6210k\u4efd\uff0c\u4e14\u6bcf\u4efd\u4e0d\u80fd\u4e3a\u7a7a\uff0c\u4efb\u610f\u4e24\u4efd\u4e0d\u80fd\u76f8\u540c(\u4e0d\u8003\u8651\u987a\u5e8f)\u3002<br \/>\n\u4f8b\u5982\uff1an=7\uff0ck=3\uff0c\u4e0b\u9762\u4e09\u79cd\u5206\u6cd5\u88ab\u8ba4\u4e3a\u662f\u76f8\u540c\u7684\u3002<br \/>\n1\uff0c1\uff0c5; 1\uff0c5\uff0c1; 5\uff0c1\uff0c1;<br \/>\n\u95ee\u6709\u591a\u5c11\u79cd\u4e0d\u540c\u7684\u5206\u6cd5\u3002<br \/>\n\u8f93\u5165\uff1an\uff0ck (6&lt;n&lt;=200\uff0c2&lt;=k&lt;=6)<br \/>\n\u8f93\u51fa\uff1a\u4e00\u4e2a\u6574\u6570\uff0c\u5373\u4e0d\u540c\u7684\u5206\u6cd5\u3002<br \/>\n\u6837\u4f8b<br \/>\n\u8f93\u5165\uff1a 7 3<br \/>\n\u8f93\u51fa\uff1a4 {\u56db\u79cd\u5206\u6cd5\u4e3a\uff1a1,1,5; 1,2,4; 1,3,3; 2,2,3;}<br \/>\n\u7b97\u6cd5\u5206\u6790\uff1a\u6b64\u9898\u53ef\u4ee5\u7528\u56de\u6eaf\u6cd5\u6c42\u89e3\uff0c\u8bbe\u81ea\u7136\u6570n\u62c6\u5206\u4e3aa1,a2,\u2026,ak,\u5fc5\u987b\u6ee1\u8db3\u4ee5\u4e0b\u4e24\u4e2a\u6761\u4ef6\uff1a<br \/>\n\uff081\uff09 n=a1+a2+\u2026+ak \uff1b<br \/>\n\uff082\uff09 a1&lt;=a2&lt;=\u2026 \u73b0\u5047\u8bbe\u5df1\u6c42\u5f97\u7684\u62c6\u5206\u6570\u4e3aa1,a2,\u2026ai,\u4e14\u90fd\u6ee1\u8db3\u4ee5\u4e0a\u4e24\u4e2a\u6761\u4ef6,\u8bbesum=n-a1-a2-\u2026-ai,\u6211\u4eec\u6839\u636e\u4e0d\u540c\u7684\u60c5\u5f62\u8fdb\u884c\u5904\u7406\uff1a<br \/>\n\uff081\uff09 \u5982\u679ci=k,\u5219\u5f97\u5230\u4e00\u4e2a\u89e3\uff0c\u5219\u8ba1\u6570\u5668t\u52a01\uff0c\u5e76\u56de\u6eaf\u5230\u4e0a\u4e00\u6b65\uff0c\u6539\u53d8ai-1\u7684\u503c\uff1b<br \/>\n\uff082\uff09 \u5982\u679ci=ai,\u5219\u6dfb\u52a0\u4e0b\u4e00\u4e2a\u5143\u7d20ai+1\uff1b<br \/>\n\uff083\uff09 \u5982\u679ci&lt;k\u4e14sum&lt;ai,\u5219\u8bf4\u660e\u8fbe\u4e0d\u5230\u76ee\u6807\uff0c\u56de\u6eaf\u5230\u4e0a\u4e00\u6b65\uff0c\u6539\u53d8ai-1\u7684\u503c\uff1b<br \/>\n\u7b97\u6cd5\u5b9e\u73b0\u6b65\u9aa4\u5982\u4e0b\uff1a<br \/>\n\u7b2c\u4e00\u6b65\uff1a\u8f93\u5165\u81ea\u7136\u6570n,k\u5e76\u521d\u59cb\u5316\uff1bt:=0; i:=1;a[i]:=1; sum:=n-1; nk:=n div k;<br \/>\n\u7b2c\u4e8c\u6b65\uff1a\u5982\u679ca[1]=a[i]\u5219\u7ee7\u7eed\u641c\u7d22\uff1b<br \/>\n\u2461\u82e5sum&lt;a[i]\u5219\u56de\u6eaf\uff1b<br \/>\n\u641c\u7d22\u65f6\uff0cinc(i);a[i]:=a[i-1];sum:=sum-a[i];<br \/>\n\u56de\u6eaf\u65f6\uff0cdec(i); inc(a[i]); sum:=sum+a[i+1]-1;<br \/>\n\u7b2c\u4e09\u6b65\uff1a\u8f93\u51fa\u3002<br \/>\n\u7a0b\u5e8f\u5982\u4e0b\uff1a<\/p>\n<pre class=\"brush: delphi; title: ; notranslate\" title=\"\">\r\n{ TODO : \u6574\u6570n\u5206\u6210k\u4efd\uff0c\u4e14\u6bcf\u4efd\u4e0d\u80fd\u4e3a\u7a7a\uff0c\u4efb\u610f\u4e24\u4efd\u4e0d\u80fd\u76f8\u540c(\u4e0d\u8003\u8651\u987a\u5e8f) }\r\nprocedure main2;\r\nvar\r\n  n,nk,sum,i,k:integer;\r\n  t:longint;\r\n  a:array&#x5B;1..6] of integer;\r\nbegin\r\n  readln(n,k);\r\n  nk:=n div k;\r\n  t:=0; i:=1; a&#x5B;i]:=1; sum:=n-1;{\u521d\u59cb\u5316}\r\n  repeat\r\n    if i=k then                {\u5224\u65ad\u662f\u5426\u641c\u7d22\u5230\u5e95}\r\n    begin                      {\u56de\u6eaf}\r\n      inc(t);\r\n      dec(i);\r\n      inc(a&#x5B;i]);\r\n      sum:=sum+a&#x5B;i+1]-1;\r\n    end\r\n    else\r\n    begin\r\n      if sum&gt;=a&#x5B;i] then         {\u5224\u65ad\u662f\u5426\u56de\u6eaf}\r\n      begin                     {\u7ee7\u7eed\u641c}\r\n        inc(i);\r\n        a&#x5B;i]:=a&#x5B;i-1];\r\n        sum:=sum-a&#x5B;i];\r\n      end\r\n      else\r\n      begin                     {\u56de\u6eaf}\r\n        dec(i);\r\n        inc(a&#x5B;i]);\r\n        sum:=sum+a&#x5B;i+1]-1;\r\n      end;\r\n    end;\r\n  until a&#x5B;1]&gt;nk;\r\n  writeln(t);\r\nend;\r\n<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>\u56de\u6eaf\u6cd5\u662f\u4e00\u79cd\u65e2\u5e26\u6709\u7cfb\u7edf\u6027\u53c8\u5e26\u6709\u8df3\u8dc3\u6027\u7684\u641c\u7d22\u6cd5\uff0c\u5b83\u7684\u57fa\u672c\u601d\u60f3\u662f\uff1a\u5728\u641c\u7d22\u8fc7\u7a0b\u4e2d\uff0c\u5f53\u63a2\u7d22\u5230\u67d0\u4e00\u6b65\u65f6\uff0c\u53d1\u73b0\u539f\u5148\u7684\u9009\u62e9\u8fbe [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"class_list":["post-605","post","type-post","status-publish","format-standard","hentry","category-code_related"],"_links":{"self":[{"href":"https:\/\/kyle.ai\/blog\/wp-json\/wp\/v2\/posts\/605","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/kyle.ai\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/kyle.ai\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/kyle.ai\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/kyle.ai\/blog\/wp-json\/wp\/v2\/comments?post=605"}],"version-history":[{"count":1,"href":"https:\/\/kyle.ai\/blog\/wp-json\/wp\/v2\/posts\/605\/revisions"}],"predecessor-version":[{"id":5189,"href":"https:\/\/kyle.ai\/blog\/wp-json\/wp\/v2\/posts\/605\/revisions\/5189"}],"wp:attachment":[{"href":"https:\/\/kyle.ai\/blog\/wp-json\/wp\/v2\/media?parent=605"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kyle.ai\/blog\/wp-json\/wp\/v2\/categories?post=605"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kyle.ai\/blog\/wp-json\/wp\/v2\/tags?post=605"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}