{"id":936,"date":"2019-10-03T22:37:06","date_gmt":"2019-10-03T14:37:06","guid":{"rendered":"http:\/\/SmokeyDays.top\/wordpress\/?p=936"},"modified":"2019-10-03T22:37:06","modified_gmt":"2019-10-03T14:37:06","slug":"lp3285-scoi2014-%e6%96%b9%e4%bc%af%e4%bc%af%e7%9a%84oj","status":"publish","type":"post","link":"http:\/\/SmokeyDays.top\/wordpress\/2019\/10\/03\/lp3285-scoi2014-%e6%96%b9%e4%bc%af%e4%bc%af%e7%9a%84oj\/","title":{"rendered":"lp3285 SCOI2014 \u65b9\u4f2f\u4f2f\u7684OJ"},"content":{"rendered":"\n<p>\u9898\u76ee\u8981\u6c42\u7ef4\u62a4\u4e00\u4e2a\u7f16\u53f7\u5e8f\u5217\u548c\u4e00\u4e2a\u6392\u540d\u5e8f\u5217\uff0c\u5e76\u652f\u6301\u56db\u79cd\u64cd\u4f5c\uff1a<br>\n1.\u6309\u7167\u7f16\u53f7\u4fee\u6539\u7f16\u53f7\uff0c\u5e76\u8fd4\u56de\u8be5\u7f16\u53f7\u7684\u6392\u540d\u3002<br>\n2.\u5c06\u4e00\u4e2a\u8282\u70b9\u7684\u6392\u540d\u63d0\u5347\u5230\u7b2c\u4e00\u4e2a\u3002<br>\n3.\u5c06\u4e00\u4e2a\u8282\u70b9\u7684\u6392\u540d\u964d\u4f4e\u5230\u6700\u540e\u4e00\u4e2a\u3002<br>\n4.\u67e5\u8be2\u67d0\u4e2a\u6392\u540d\u7684\u7f16\u53f7\u3002 <br>\n\u5f88\u663e\u7136\u662f\u7528Splay\u7ef4\u62a4\u6392\u540d\uff0c\u7136\u540e\u5f00\u4e00\u4e2a\u6570\u7ec4\u5b58\u7f16\u53f7\u54af\u3002 <br>\n\u7136\u800c\u6211\u4eec\u89c2\u5bdf\u5230\u8fd9\u4e00\u9898\u7684\u6570\u636e\u8303\u56f4\u662fn&lt;=10^8\uff0c\u90a3\u4e48\u7528\u4e0a\u8ff0\u7684\u65b9\u6cd5\u663e\u7136\u4f1aMLE\u3002<br>\n\u6545\u800c\u6211\u4eec\u8003\u8651\u4e00\u4e2aSplay\u8282\u70b9\u300c\u771f\u7684\u7ef4\u62a4\u300d\u4e00\u4e2a\u533a\u95f4\u3002\u7136\u540e\u6bcf\u4e00\u6b21\u8981\u7528\u5230\u4e00\u4e2a\u65b0\u7684\u70b9\u5c31\u628a\u539f\u6709\u7684\u533a\u95f4\u5256\u5f00\u3002<br>\n\u800c\u6570\u7ec4\u5b58\u7f16\u53f7\u4e5f\u5c31\u5f88\u5957\u8def\u5730\u6362\u6210map\u5b58\u7f16\u53f7\u3002<br>\n\u3010\u51ac\u5929\u6765\u4e86\u624b\u90fd\u5728\u53d1\u6296\u554a\u3011 <br>\n\u7eed\uff1a\u8fd9\u4e00\u9898\u662f\u6211\u5728190103\u7684\u65f6\u5019\u5199\u5b8c\u7684\uff0c\u7136\u800c\u76f4\u5230191003\u6211\u624d\u8c03\u51fa\u6765\u3002\u671f\u95f4\u7ecf\u8fc7\u4e86\u5341\u4e2a\u6708\u3002<br>\n\u8c03\u8bd5\u7684\u7a81\u7834\u6027\u8fdb\u5c55\u6765\u81ea\u4e8e\u5bf9\u8c03\u8bd5\u5de5\u5177\u7684\u5b66\u4e60\u4f7f\u7528\uff0c\u8fd9\u4f7f\u5f97\u6211\u5728\u5de8\u5927\u6570\u636e\u7684\u60c5\u51b5\u4e0b\u5f97\u4ee5\u60f3\u529e\u6cd5\u8c03\u8bd5\u3002<br>\n\u6211\u9996\u5148\u53d1\u73b0\u4e86size\u53d1\u751f\u4e86\u9519\u8bef\uff0c\u8fdb\u800c\u53d1\u73b0\u67d0\u4e2a\u8282\u70b9\u7684size\u4e0d\u7b49\u4e8e\u5176\u4e24\u5b69\u5b50\u7684\u5927\u5c0f\u4e4b\u548c\u52a0\u4e0a\u5b83\u672c\u8eab\u7684\u5927\u5c0f\u3002\u7136\u540e\uff0c\u7ecf\u7531\u6b64\u5904\uff0c\u6211\u53d1\u73b0\u6709\u4e2a\u8282\u70b9\u7684\u76f8\u90bb\u8282\u70b9\u662f\u4e00\u4e2a\u5927\u5c0f\u4e3a\u7a7a\u7684\u8282\u70b9\uff0c\u8fdb\u800c\u53d1\u73b0\u8fd9\u4e2a\u8282\u70b9\u5728\u88ab\u5206\u914d\u4e0b\u6807\u4e4b\u524d\u5c31\u88ab\u8bbf\u95ee\u4e86\u3002<br>\n\u6700\u7ec8\uff0c\u6211\u6ce8\u610f\u5230\u5b83\u7b2c\u4e00\u6b21\u51fa\u73b0\u6240\u76f8\u63a5\u7684\u8282\u70b9\uff0c\u5e76\u53d1\u73b0\u8fd9\u4e2a\u6570\u4e8b\u5b9e\u4e0a\u662f\u4e00\u4e2a\u6807\u53f7\u3002<br>\n\u7d27\u63a5\u7740\u6211\u5c31\u987a\u5229\u5730\u8c03\u51fa\u53e6\u4e00\u4e2a\u9519\uff0c\u5e76\u901a\u8fc7\u4e86\u6b64\u9898\u3002 <br>\n\u6ce8\u610f\u70b9\uff1a<br>\n1.\u5bf9\u4e8e\u7a7a\u8282\u70b9\u7684\u60c5\u51b5\u4e00\u5b9a\u8981\u8ba4\u771f\u8003\u8651\uff0c\u56e0\u4e3a\u5982\u679c\u7a7a\u8282\u70b9\u64cd\u4f5c\u4e0d\u614e\u7684\u8bdd\u5f88\u53ef\u80fd\u4f1a\u5bfc\u81f4\u4e00\u4e9b\u83ab\u540d\u5176\u5999\u7684\u9519\u8bef\u3002<br>\n2.\u8981\u6ce8\u610f\u9002\u65f6\u66f4\u65b0\u8282\u70b9\u3002<br>\n3.\u5343\u4e07\u4e0d\u8981\u641e\u6df7\u300c\u6807\u53f7\u300d\u548c\u300c\u6392\u540d\u300d\uff01\uff01\uff01\uff01\uff01\uff01<br>\n4.\u5982\u679c\u4e00\u4e2a\u70b9\u672c\u6765\u5c31\u662f\u6392\u540d\u6700\u540e\u7684\u70b9\u800c\u8981\u79fb\u5230\u6392\u540d\u6700\u540e\uff0c\u6709\u53ef\u80fd\u4f1a\u51fa\u9519\u3002 <\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>#include&lt;iostream>\n#include&lt;cstdio>\n#include&lt;map>\n#define error(X) printf(\"ERROR: %d\",X)\n#define debug(P) printf(\"(%d):%d,%d,sn:[%d,%d],FA:%d,SZ:%d\\n\",P,tr[P].l,tr[P].r,tr[P].sn[0],tr[P].sn[1],tr[P].fa,tr[P].sz);\n\nbool bo=0;\nclass Splay{\n\tpublic:\n\t\tclass Node{\n\t\t\tpublic:\n\t\t\t\tint l;\n\t\t\t\tint r;\n\t\t\t\tint sz;\n\t\t\t\tint sn[2];\n\t\t\t\tint fa;\n\t\t\t\tinline void set(int L,int R,int FA){\n\t\t\t\t\tl=L,r=R,fa=FA,sz=R-L+1,sn[0]=sn[1]=0;\n\t\t\t\t}\n\t\t};\n\t\t\/\/i\u8868\u793amp[i]\u8fd9\u4e2a\u8282\u70b9\u7684\u53f3\u7aef\u70b9\u7684\u6807\u53f7\u3002 \n\t\tstd::map&lt;int,int> mp;\n\t\tNode tr[400005];\n\t\tint cnt,rt;\n\t\t\/\/\u5bfb\u627e\u5f53\u524d\u8282\u70b9\u4e0e\u7236\u4eb2\u7684\u5173\u7cfb\u3002 \n\t\tinline int fndD(int X){\n\t\t\treturn tr[tr[X].fa].sn[1]==X;\n\t\t}\n\t\t\/\/\u66f4\u65b0\u5f53\u524d\u8282\u70b9\u3002 \n\t\tinline void updt(int X){\n\t\t\ttr[X].sz=tr[tr[X].sn[0]].sz+tr[tr[X].sn[1]].sz+tr[X].r-tr[X].l+1;\n\/\/\t\t\tif(X==10619&amp;&amp;tr[X].sz&lt;=30){prnt(tr[X].fa);}\n\t\t}\n\t\t\/\/\u65cb\u8f6c\u5957\u88c5\u3002 \n\t\tinline void splayOne(int X){\n\t\t\tif(!X){return;}\n\t\t\tint D=fndD(X),D2=fndD(tr[X].fa);\n\/\/\t\t\tif(X==65505||tr[X].fa==65505||tr[tr[X].fa].sn[D^1]==65505){\n\/\/\t\t\t\tputs(\"FKFKFK\");\n\/\/\t\t\t\tprintf(\"X\");debug(X);\n\/\/\t\t\t\tprintf(\"FA\");debug(tr[X].fa);\n\/\/\t\t\t\tprintf(\"BR\");debug(tr[tr[X].fa].sn[D^1]);\n\/\/\t\t\t}\n\t\t\ttr[tr[X].sn[D^1]].fa=tr[X].fa,tr[tr[X].fa].sn[D]=tr[X].sn[D^1];\n\t\t\ttr[X].sn[D^1]=tr[X].fa,tr[X].fa=tr[tr[X].sn[D^1]].fa;\n\t\t\ttr[tr[X].fa].sn[D2]=X,tr[tr[X].sn[D^1]].fa=X;\n\t\t\tupdt(tr[X].sn[D^1]),updt(X);\n\t\t}\n\t\tinline void splayTwo(int X){\n\/\/\t\t\tif(bo&amp;&amp;X==38190){debug(X);}\n\t\t\tint D=fndD(X),D2=fndD(tr[X].fa);\n\t\t\ttr[X].fa?(tr[tr[X].fa].fa?(D==D2?(splayOne(tr[X].fa),splayOne(X),0):(splayOne(X),splayOne(X),0)):(splayOne(X),0)):0;\n\t\t}\n\t\tinline void splayRnw(int X){\n\t\t\twhile(tr[X].fa){splayTwo(X);}\n\t\t\trt=X;\n\t\t}\n\/\/\t\tinline void splayRnw(int X){\n\/\/\t\t\twhile(tr[X].fa){\n\/\/\t\t\t\tint F=tr[X].fa,FF=tr[tr[X].fa].fa;\n\/\/\t\t\t\tif(!FF)\n\/\/\t\t\t}\n\/\/\t\t}\n\t\t\/\/\u627e\u5230\u6392\u540d\u4e3aX\u7684\u5143\u7d20\u3002 \n\t\tinline int fnd(int X){\n\t\t\tint P=rt;\n\t\t\twhile(P){\n\t\t\t\tif(X>tr[tr[P].sn[0]].sz+tr[P].r-tr[P].l+1){\n\t\t\t\t\tX-=tr[tr[P].sn[0]].sz+tr[P].r-tr[P].l+1;\n\t\t\t\t\tP=tr[P].sn[1];\n\t\t\t\t}else if(X>tr[tr[P].sn[0]].sz){\n\t\t\t\t\tX-=tr[tr[P].sn[0]].sz;\n\t\t\t\t\tsplayRnw(P);\n\/\/\t\t\t\t\tdebug(P);\n\t\t\t\t\treturn tr[P].l+X-1;\n\t\t\t\t}else{\n\t\t\t\t\tP=tr[P].sn[0];\n\t\t\t\t}\n\t\t\t}\n\t\t\treturn -1; \n\t\t}\n\t\t\/\/\u5f00\u4e00\u4e2a\u65b0\u8282\u70b9\uff0c\u4ee5X\u4e3a\u5b83\u7684\u7236\u4eb2\u3002 \n\t\tinline int nwlc(int X,int L,int R){\n\t\t\tint P=++cnt;\n\/\/\t\t\tif(P==65505){\n\/\/\t\t\t\tprintf(\"START:\");\n\/\/\t\t\t\tdebug(P);\n\/\/\t\t\t}\n\t\t\ttr[P].set(L,R,X);\n\t\t\treturn P;\n\t\t}\n\t\t\/\/\u5c06\u7f16\u53f7\u4e3aX\u7684\u8282\u70b9\u5355\u72ec\u5f04\u6210\u4e00\u4e2a\u65b0\u7684\u8282\u70b9\uff0c\u7136\u540e\u5c06\u5b83\u7684\u4e24\u4e2a\u5b50\u8282\u70b9\u63a5\u5230\u5b83\u7684\u5de6\u53f3\uff0c\u5e76\u66f4\u6539\u76f8\u5e94\u7684\u7f16\u53f7\u7684\u6620\u5c04 \n\t\tinline int split(int P,int X){\n\t\t\tif(tr[P].l==tr[P].r){return P;}\n\t\t\tif(P==-1){return error(192600404),192600404;}\n\t\t\tif(X>tr[P].l){\n\t\t\t\tint L=tr[P].sn[0];\n\t\t\t\tL?(cut(L),0):(tr[0].fa=0);\n\t\t\t\ttr[P].sn[0]=nwlc(P,tr[P].l,X-1);\n\t\t\t\tL?(cnnct(L,tr[P].sn[0],0),0):0;\n\t\t\t\tmp[X-1]=tr[P].sn[0];\n\/\/\t\t\t\tupdt(tr[P].sn[0]);\n\t\t\t}\n\t\t\tif(X&lt;tr[P].r){\n\t\t\t\tint R=tr[P].sn[1];\n\t\t\t\tR?(cut(R),1):(tr[0].fa=0);\n\t\t\t\ttr[P].sn[1]=nwlc(P,X+1,tr[P].r);\n\t\t\t\tR?(cnnct(R,tr[P].sn[1],1),1):1;\n\t\t\t\tmp[tr[P].r]=tr[P].sn[1];\n\/\/\t\t\t\tupdt(tr[P].sn[1]);\n\t\t\t}\n\t\t\ttr[P].l=tr[P].r=X;mp[X]=P;\n\t\t\tupdt(P);\n\t\t\treturn P;\n\t\t}\n\t\tinline int fndMn(int X){\n\t\t\tint P=X,FP=tr[X].fa;\n\t\t\twhile(P){\n\t\t\t\tFP=P;\n\t\t\t\tP=tr[P].sn[0]; \n\t\t\t}\n\t\t\treturn FP;\n\t\t}\n\t\tinline int fndMx(int X){\n\t\t\tint P=X,FP=tr[X].fa;\n\t\t\twhile(P){\n\t\t\t\tFP=P;\n\t\t\t\tP=tr[P].sn[1];\n\t\t\t}\n\t\t\treturn FP;\n\t\t}\n\t\tinline void cut(int X){\n\t\t\tint D=fndD(X);\n\t\t\ttr[tr[X].fa].sn[D]=0,tr[X].fa=0;\n\t\t}\n\t\tinline void cnnct(int X,int Y,int D){\n\t\t\ttr[Y].sn[D]=X,tr[X].fa=Y;\n\t\t\tupdt(Y);\n\t\t}\n\t\tinline void prnt(int X,int dep=0){\n\t\t\tif(!X){return;}\n\t\t\tfor(int i=1;i&lt;=dep;++i){\n\t\t\t\tprintf(\" \");\n\t\t\t}debug(X);\n\t\t\tprnt(tr[X].sn[0],dep+1);\n\t\t\tprnt(tr[X].sn[1],dep+1);\n\t\t}\n\tpublic:\n\t\tinline int CHANGE(int X,int Y){\n\t\t\tint P=mp.lower_bound(X)->second;\n\t\t\tP=split(P,X);\n\t\t\ttr[P].l=tr[P].r=Y;\n\t\t\tmp[Y]=P;\n\t\t\tsplayRnw(P);\n\t\t\treturn tr[tr[P].sn[0]].sz+1;\n\t\t}\n\t\tinline int LST(int X){\n\t\t\tint P=mp.lower_bound(X)->second;\n\t\t\tP=split(P,X);\n\t\t\tsplayRnw(P);\n\t\t\tint L=tr[P].sn[0],R=tr[P].sn[1],RT=tr[tr[P].sn[0]].sz+1;\n\t\t\tif(!L){\n\t\t\t\treturn RT;\n\t\t\t}\n\t\t\tR?(R=fndMn(R),cut(L),cnnct(L,R,0),splayRnw(L)):(cut(L),cnnct(L,P,1));\/\/\u6b64\u5904P\u5199\u6210X,\u8c03\u4e86\u6211\u4e00\u5e74\u3002 \n\t\t\treturn RT;\n\t\t}\n\t\tinline int RST(int X){\n\t\t\tint P=mp.lower_bound(X)->second;\n\t\t\tP=split(P,X);\n\t\t\tsplayRnw(P);\n\t\t\tint L=tr[P].sn[0],R=tr[P].sn[1],RT=tr[tr[P].sn[0]].sz+1;\n\t\t\tif(!R){\n\t\t\t\treturn RT;\n\t\t\t}\n\t\t\tL?(L=fndMx(L),cut(R),cnnct(R,L,1),splayRnw(R)):(cut(R),cnnct(R,P,0));\n\t\t\treturn RT;\n\t\t}\n\t\tinline int ARNK(int X){\n\t\t\treturn fnd(X);\n\t\t} \n\t\t\/\/\u521d\u59cb\u5316\u3002 \n\t\tinline void INIT(int N){\n\t\t\tcnt=1;\n\t\t\trt=1;\n\t\t\ttr[1].set(1,N,0);\n\t\t\tmp[N]=1;\n\t\t}\n};\n\/*\nError:\n192600404: \u6307\u5b9a\u7684\u8282\u70b9\u4e0d\u5b58\u5728\u3002\n192600500: \u5207\u5272\u7684\u8282\u70b9\u4e0d\u662f\u533a\u95f4\u8282\u70b9\u3002 \n*\/\n\nint n,m;\nSplay T;\nvoid init(){\n\tint code=0;\n\tscanf(\"%d%d\",&amp;n,&amp;m);\n\tT.INIT(n);\n\tint op,x,y;\n\tfor(int i=1;i&lt;=m;++i){\n\t\tscanf(\"%d\",&amp;op);\n\t\tswitch(op){\n\t\t\tcase 1:{\n\t\t\t\tscanf(\"%d%d\",&amp;x,&amp;y);\n\t\t\t\tx-=code,y-=code;\n\t\t\t\tprintf(\"%d\\n\",code=T.CHANGE(x,y));\n\/\/\t\t\t\tif(code==95204&amp;&amp;i>=80000){\n\/\/\t\t\t\t\tputs(\"fk1\");\n\/\/\t\t\t\t\tprintf(\"%d\\n\",x);\n\/\/\t\t\t\t\treturn;\n\/\/\t\t\t\t}\n\t\t\t\tbreak;\n\t\t\t}\n\t\t\tcase 2:{\n\t\t\t\tscanf(\"%d\",&amp;x);\n\t\t\t\tx-=code;\n\t\t\t\tprintf(\"%d\\n\",code=T.LST(x));\n\t\t\t\tbreak;\n\t\t\t}\n\t\t\tcase 3:{\n\t\t\t\tscanf(\"%d\",&amp;x);\n\t\t\t\tx-=code;\n\t\t\t\tprintf(\"%d\\n\",code=T.RST(x));\n\t\t\t\tbreak;\n\t\t\t}\n\t\t\tcase 4:{\n\t\t\t\tscanf(\"%d\",&amp;x);\n\t\t\t\tx-=code;\n\t\t\t\tprintf(\"%d\\n\",code=T.ARNK(x));\n\t\t\t\tbreak;\n\t\t\t}\n\t\t}\n\/\/\t\tprintf(\"CORESIZE:%d\\n\",T.tr[54567].sz);\n\t}\n}\n\nint main(){\n\/\/\tfreopen(\"input1.in\",\"r\",stdin);\n\/\/\tfreopen(\"output1.out\",\"w\",stdout);\n\tinit();\n\treturn 0;\n} <\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"<p>\u9898\u76ee\u8981\u6c42\u7ef4\u62a4\u4e00\u4e2a\u7f16\u53f7\u5e8f\u5217\u548c\u4e00\u4e2a\u6392\u540d\u5e8f\u5217\uff0c\u5e76\u652f\u6301\u56db\u79cd\u64cd\u4f5c\uff1a 1.\u6309\u7167\u7f16\u53f7\u4fee\u6539\u7f16\u53f7\uff0c\u5e76\u8fd4\u56de\u8be5\u7f16\u53f7\u7684\u6392\u540d\u3002 2.\u5c06\u4e00 &hellip; <\/p>\n<p class=\"link-more\"><a href=\"http:\/\/SmokeyDays.top\/wordpress\/2019\/10\/03\/lp3285-scoi2014-%e6%96%b9%e4%bc%af%e4%bc%af%e7%9a%84oj\/\" class=\"more-link\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">\u201clp3285 SCOI2014 \u65b9\u4f2f\u4f2f\u7684OJ\u201d<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[66,62,63,43,9,6,5],"tags":[],"_links":{"self":[{"href":"http:\/\/SmokeyDays.top\/wordpress\/wp-json\/wp\/v2\/posts\/936"}],"collection":[{"href":"http:\/\/SmokeyDays.top\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/SmokeyDays.top\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/SmokeyDays.top\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/SmokeyDays.top\/wordpress\/wp-json\/wp\/v2\/comments?post=936"}],"version-history":[{"count":1,"href":"http:\/\/SmokeyDays.top\/wordpress\/wp-json\/wp\/v2\/posts\/936\/revisions"}],"predecessor-version":[{"id":937,"href":"http:\/\/SmokeyDays.top\/wordpress\/wp-json\/wp\/v2\/posts\/936\/revisions\/937"}],"wp:attachment":[{"href":"http:\/\/SmokeyDays.top\/wordpress\/wp-json\/wp\/v2\/media?parent=936"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/SmokeyDays.top\/wordpress\/wp-json\/wp\/v2\/categories?post=936"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/SmokeyDays.top\/wordpress\/wp-json\/wp\/v2\/tags?post=936"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}