{"id":983,"date":"2019-02-14T19:05:12","date_gmt":"2019-02-14T11:05:12","guid":{"rendered":"https:\/\/mnihyc.com\/blog\/?p=983"},"modified":"2020-02-09T03:02:09","modified_gmt":"2020-02-08T19:02:09","slug":"fjwc2019-day3-%e7%ad%be%e5%88%b0%e9%a2%98","status":"publish","type":"post","link":"https:\/\/mnihyc.com\/blog\/archives\/983","title":{"rendered":"[FJWC2019 Day3] \u7b7e\u5230\u9898"},"content":{"rendered":"<h1 style=\"text-align: center;\">[FJWC2019 Day3] \u7b7e\u5230\u9898<\/h1>\n<p style=\"text-align: center;\">\u65f6\u95f4\u9650\u5236\uff1a 1000ms\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u5185\u5b58\u9650\u5236\uff1a256MB<\/p>\n<p style=\"text-align: center;\">\u96be\u5ea6\uff1a <span style=\"color: #ffcc00;\">\\(4.5\\)<\/span><\/p>\n<ul>\n<li>\n<h3><strong>\u9898\u76ee\u63cf\u8ff0<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u4f5c\u4e3a\u4e00\u9053\u7b7e\u5230\u9898\uff0c\u81ea\u7136\u53ea\u80fd\u5305\u542b\u6700\u57fa\u672c\u7684\u7b97\u6cd5\u3002\u672c\u9898\u7684\u4efb\u52a1\u5f88\u7b80\u5355\uff0c\u7ed9\u5b9a\u4e00\u4e2a\u957f\u5ea6\u4e3a \\(n\\) \u7684\u5e8f\u5217 \\(a\\)\uff0c\u4f60\u8981\u5c06\u5176\u6392\u5e8f\u3002<\/p>\n<p>\u7531\u4e8e\u51fa\u9898\u4eba\u5f88\u83dc\uff0c\u4e0d\u4f1a\u6392\u5e8f\u7b97\u6cd5\uff0c\u4ed6\u51b3\u5b9a\u81ea\u5df1\u7f16\u4e00\u4e2a\u3002\u4ed6\u60f3\u627e\u5230\u4e00\u4e2a\u6570 \\(x\\)\uff0c\u4f7f\u5f97\u5e8f\u5217\u4e2d\u7684\u6240\u6709\u6570\u5b57\u90fd<strong>\u5f02\u6216<\/strong>\u4e0a \\(x\\) \u540e\u5e8f\u5217\u6070\u597d\u6309<strong>\u4ece\u5c0f\u5230\u5927<\/strong>\u6392\u5217\u3002<\/p>\n<p>\u987a\u5e26\uff0c\u8fd9\u4e2a\u5e8f\u5217\u4f1a\u88ab\u8fdb\u884c\u82e5\u5e72\u6b21\u4fee\u6539\uff0c\u6bcf\u6b21\u4fee\u6539\u540e\u4f60\u9700\u8981\u56de\u7b54\u5f53\u524d\u662f\u5426\u5b58\u5728\u4e00\u4e2a \\(x\\) \u6ee1\u8db3\u5e8f\u5217\u4e2d\u6570\u5b57\u5f02\u6216\u4e0a \\(x\\) \u540e\u6309\u4ece\u5c0f\u5230\u5927\u6392\u5217\uff0c\u5982\u679c\u6709\uff0c\u8bf7\u4f60\u7ed9\u51fa\u6700\u5c0f\u7684 \\(x\\) \u3002<\/p>\n<ul>\n<li>\n<h3><strong>\u8f93\u5165\u683c\u5f0f<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u7b2c\u4e00\u884c\u4e00\u4e2a\u6b63\u6574\u6570 \\(n\\) \u3002<\/p>\n<p>\u7b2c\u4e8c\u884c \\(n\\) \u4e2a\u975e\u8d1f\u6574\u6570\uff0c\u8868\u793a\u5e8f\u5217 \\(a\\) \u3002<\/p>\n<p>\u7b2c\u4e09\u884c\u4e00\u4e2a\u975e\u8d1f\u6574\u6570 \\(q\\) \uff0c\u8868\u793a\u4fee\u6539\u6b21\u6570\u3002<\/p>\n<p>\u63a5\u4e0b\u6765 \\(q\\) \u884c\uff0c\u6bcf\u884c\u4e00\u4e2a\u6b63\u6574\u6570 \\(x\\) \u548c\u4e00\u4e2a\u975e\u8d1f\u6574\u6570 \\(y\\)\uff0c\u8868\u793a\u5c06\u5e8f\u5217\u4e2d\u7b2c \\(x\\) \u4e2a\u5143\u7d20\u4fee\u6539\u4e3a \\(y\\) \u3002<\/p>\n<ul>\n<li>\n<h3><strong>\u8f93\u51fa\u683c\u5f0f<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u8f93\u51fa \\(q+1\\) \u884c\uff0c\u6bcf\u884c\u4e00\u4e2a\u6574\u6570\uff0c\u7b2c\u4e00\u884c\u8868\u793a\u4e00\u5f00\u59cb\u6700\u5c0f\u7684\u5408\u6cd5 \\(x\\) \uff0c\u4e4b\u540e \\(q\\) \u884c\u4f9d\u6b21\u8868\u793a\u6bcf\u6b21\u4fee\u6539\u540e\u6700\u5c0f\u7684\u5408\u6cd5 \\(x\\)\uff0c\u5982\u679c\u4e0d\u5b58\u5728\u5219\u8fd9\u4e00\u884c\u8f93\u51fa \\(-1\\) \u3002<\/p>\n<ul>\n<li>\n<h3><strong>\u6837\u4f8b\u8f93\u5165<\/strong><\/h3>\n<\/li>\n<\/ul>\n<pre class=\"\">3\r\n0 1 4\r\n3\r\n2 7\r\n3 3\r\n1 4<\/pre>\n<ul>\n<li>\n<h3><strong>\u6837\u4f8b\u8f93\u51fa<\/strong><\/h3>\n<\/li>\n<\/ul>\n<pre class=\"\">0\r\n2\r\n-1\r\n4<\/pre>\n<ul>\n<li>\n<h3><strong>\u6570\u636e\u8303\u56f4\u4e0e\u63d0\u793a<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u5bf9\u4e8e \\(20\\%\\) \u7684\u6570\u636e\uff0c\\(n,m \\le 500\\)\uff0c\u6240\u6709\u6570\u5b57\u4e0d\u8d85\u8fc7 \\(2^9\\) \u200b\u200b\u3002<\/p>\n<p>\u5bf9\u4e8e \\(50\\%\\) \u7684\u6570\u636e\uff0c\\(n,m \\le 1000\\) \u3002<\/p>\n<p>\u5bf9\u4e8e \\(100\\%\\) \u7684\u6570\u636e\uff0c\\(n,m \\le {10}^6\\)\u200b\u200b\uff0c\u6240\u6709\u6570\u5b57\u4e0d\u8d85\u8fc7 \\(2^{30}\\) \u200b\u200b\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>YZOJ P4263<\/p>\n<p><!--more--><\/p>\n<hr \/>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>\u4f5c\u4e3a\u4e00\u9053\u5408\u683c\u7684\u7b7e\u5230\u9898\uff0c\u5f88\u61ca\u6094\u6ca1\u6709\u5728\u8003\u573a\u4e0a\u5207\u6389\u5b83\u3002<del>\u660e\u660e\u5df2\u7ecf\u60f3\u5230\u4e86\u6b63\u89e3<\/del><\/p>\n<p>\u76f4\u63a5\u66b4\u529b \\(20pts\\) \u4e0d\u7528\u591a\u8bf4\u3002<\/p>\n<p>\u5bf9\u4e8e\u8fd9\u7c7b\u95ee\u9898\uff0c\u6700\u5e38\u89c1\u7684\u65b9\u6cd5\u5c31\u662f\u628a\u8fd9\u4e9b\u6570\u4e8c\u8fdb\u5236\u5206\u89e3\uff0c\u7136\u540e\u8ba8\u8bba\u6bcf\u4e00\u4f4d\u4e0a\u7684\u60c5\u51b5\u3002\u8981\u4f7f\u6574\u4e32\u5e8f\u5217\u975e\u4e25\u683c\u5355\u8c03\u9012\u589e\uff0c\u5c31\u662f\u8981\u8ba9 \\(\\forall i \\in [1,n-1], a_i \\leq a_{i+1}\\) \u3002<\/p>\n<p>\u5bf9\u4e8e\u672c\u9898\uff0c\u5f88\u663e\u7136\u7684\u4e00\u4e2a\u8d2a\u5fc3\u5c31\u662f\uff1a<strong>\u4ece\u9ad8\u4f4d\u5230\u4f4e\u4f4d<\/strong>\u627e\u5230\u76f8\u90bb\u4e24\u4e2a\u6570 \\(i\\) \u548c \\(i+1\\) \u7684<strong>\u7b2c\u4e00\u4e2a\u4e0d\u540c\u7684\u4e8c\u8fdb\u5236\u4f4d<\/strong>\u8bbe\u4e3a \\(d\\)\uff0c\u5982\u679c \\(d_{i}=0, d_{i+1}=1\\) \u90a3\u4e48\u9009\u62e9 \\(0\\) \u4e0d\u53cd\u8f6c\uff0c\u5982\u679c \\(d_{i}=1, d_{i+1}=0\\) \u90a3\u4e48\u9009\u62e9 \\(1\\) \u53cd\u8f6c\u3002\u540c\u65f6\u76f8\u7b49\u7684\u4f4d\u9009\u4ec0\u4e48\u90fd\u53ef\u4ee5\uff0c\u4f46\u662f\u4e3a\u4e86\u4f7f \\(x\\) \u6700\u5c0f\u5e94<strong>\u4f18\u5148<\/strong>\u9009 \\(0\\) \u3002<\/p>\n<p>\u6240\u4ee5\u5bf9\u4e8e\u6bcf\u4e2a\u4e8c\u8fdb\u5236\u4f4d\u7edf\u8ba1\u4e00\u4e0b\u6709\u51e0\u5bf9\u76f8\u90bb\u7684 \\(a\\) \u5fc5\u987b\u9009 \\(0\\) \u6216 \\(1\\)\uff0c\u90a3\u4e48\u4fee\u6539\u5c31\u662f \\(O(loga)\\) \u7684\u3002\u5bf9\u4e8e\u6bcf\u4e2a\u8be2\u95ee\u90fd \\(O(loga)\\) \u7edf\u8ba1\u4e00\u4e0b\u54ea\u4e9b\u4f4d\u5fc5\u987b\u9009 \\(1\\) \uff0c\u5e76\u52a0\u5165 \\(x\\) \u4e2d\uff0c\u6ce8\u610f\u5982\u679c\u51fa\u73b0\u5fc5\u987b\u540c\u65f6\u9009 \\(0\\) \u548c \\(1\\) \u7684\u60c5\u51b5\u90a3\u5c31\u662f\u65e0\u89e3\u4e86\u3002<\/p>\n<p>\u65f6\u95f4\u590d\u6742\u5ea6 \\(O((n+q)loga)\\) \u3002<\/p>\n<p>&nbsp;<\/p>\n<pre class=\"lang:default decode:true \">#include &lt;cstdio&gt;\r\n#include &lt;cstdlib&gt;\r\n#include &lt;cstring&gt;\r\n#include &lt;climits&gt;\r\n\r\n#define _max(_a_,_b_) ((_a_)&gt;(_b_)?(_a_):(_b_))\r\n#define _min(_a_,_b_) ((_a_)&lt;(_b_)?(_a_):(_b_))\r\n\r\ninline int getnum()\r\n{\r\n\tregister char c=getchar();\r\n\twhile(!(c&gt;='0' &amp;&amp; c&lt;='9'))\r\n\t\tc=getchar();\r\n\tregister int a=0;\r\n\twhile(c&gt;='0' &amp;&amp; c&lt;='9')\r\n\t\ta=a*10+c-'0',c=getchar();\r\n\treturn a;\r\n}\r\n\r\nint N,limxd;\r\nbool ad[1050505][32];\r\nint cnt[32][2];\r\n\r\ninline void FindX()\r\n{\r\n\tregister int x=0;\r\n\tfor(register int d=0;d&lt;limxd;d++)\r\n\t\tif(cnt[d][1])\r\n\t\t\tif(cnt[d][0])\r\n\t\t\t{\r\n\t\t\t\tprintf(\"%d\\n\",-1);\r\n\t\t\t\treturn;\r\n\t\t\t}\r\n\t\t\telse\r\n\t\t\t\tx+=(1&lt;&lt;d);\r\n\tprintf(\"%d\\n\",x);\r\n}\r\n\r\ninline void ReConstruct(const int&amp;l,const int&amp;r,const int&amp;sgn=1)\r\n{\r\n\tfor(register int i=l+1;i&lt;=r;i++)\r\n\t{\r\n\t\tregister int d=limxd-1;\r\n\t\twhile(d&gt;=0 &amp;&amp; ad[i-1][d]==ad[i][d])\r\n\t\t\td--;\r\n\t\tif(d&gt;=0)\r\n\t\t\tcnt[d][ad[i-1][d]]+=sgn;\r\n\t}\r\n}\r\n\r\ninline void DBinary(const int&amp;p,register int a)\r\n{\r\n\tregister int dig=0;\r\n\twhile(a)\r\n\t\tad[p][dig++]=a&amp;1,a&gt;&gt;=1;\r\n\tfor(register int i=dig;i&lt;limxd;i++)\r\n\t\tad[p][i]=0;\r\n\tlimxd=_max(limxd,dig);\r\n}\r\n\r\nint main()\r\n{\r\n\/\/freopen(\"sort.in\",\"r\",stdin);freopen(\"sort.out\",\"w\",stdout);\r\n\tN=getnum();\r\n\tfor(register int i=1;i&lt;=N;i++)\r\n\t\tDBinary(i,getnum());\r\n\tReConstruct(1,N);\r\n\tFindX();\r\n\t\r\n\tregister int Q=getnum();\r\n\tfor(register int lp=1;lp&lt;=Q;lp++)\r\n\t{\r\n\t\tregister int x=getnum(),y=getnum();\r\n\t\tReConstruct(_max(1,x-1),_min(N,x+1),-1);\r\n\t\tDBinary(x,y);\r\n\t\tReConstruct(_max(1,x-1),_min(N,x+1));\r\n\t\tFindX();\r\n\t}\r\n\t\r\n\treturn 0;\r\n}<\/pre>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[FJWC2019 Day3] \u7b7e\u5230\u9898 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content=\"[FJWC2019 Day3] \u7b7e\u5230\u9898 - mnihyc&#039;s Blog\" \/>\n<meta property=\"og:description\" content=\"\u7b7e\u5230\u9898 \u65f6\u95f4\u9650\u5236\uff1a 1000ms\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u5185\u5b58\u9650\u5236\uff1a256MB \u96be\u5ea6\uff1a \u9898\u76ee\u63cf\u8ff0 \u4f5c\u4e3a\u4e00\u9053\u7b7e\u5230\u9898\uff0c\u81ea\u7136\u53ea\u80fd\u5305\u542b\u6700\u57fa\u672c\u7684\u7b97\u6cd5\u3002\u672c\u9898\u7684\u4efb\u52a1\u5f88\u7b80\u5355\uff0c\u7ed9\u5b9a\u4e00\u4e2a\u957f\u5ea6\u4e3a (n) \u7684\u5e8f\u5217 (a)\uff0c\u4f60\u8981\u5c06\u5176\u6392\u5e8f\u3002 \u7531\u4e8e\u51fa\u9898\u4eba\u5f88\u83dc\uff0c\u4e0d\u4f1a\u6392\u5e8f\u7b97\u6cd5\uff0c\u4ed6\u51b3\u5b9a\u81ea\u5df1\u7f16\u4e00\u4e2a\u3002\u4ed6\u60f3\u627e\u5230\u4e00\u4e2a\u6570\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mnihyc.com\/blog\/archives\/983\" \/>\n<meta property=\"og:site_name\" content=\"mnihyc&#039;s Blog\" \/>\n<meta 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