{"id":144,"date":"2011-11-24T20:14:41","date_gmt":"2011-11-24T12:14:41","guid":{"rendered":"http:\/\/www.shuizilong.com\/house\/?p=144"},"modified":"2012-03-03T20:15:36","modified_gmt":"2012-03-03T12:15:36","slug":"hdu-4126-genghis-khan-the-conqueror","status":"publish","type":"post","link":"https:\/\/www.shuizilong.com\/house\/archives\/hdu-4126-genghis-khan-the-conqueror\/","title":{"rendered":"HDU 4126. Genghis Khan the Conqueror"},"content":{"rendered":"<h3>Brief description: <\/h3>\n<p>\u3002\u3002\u7ed9\u5b9a\u4e00\u4e2a N \u4e2a\u9876\u70b9\u7684\u65e0\u5411\u56fe\uff08\u7a20\u5bc6\uff09\u3001\u56de\u7b54 Q \u6b21\u8be2\u95ee\u3002<br \/>\n\u95ee\u4e00\u6761\u8fb9\u7684\u6743\u503c\u589e\u52a0\u4e3a ci&#8217; \u540e\uff0c\u65b0\u56fe\u7684 MST\u3002<br \/>\n(. .. N <= 3000, Q <= 10^6.. .) ..\n\n<!--more--><\/p>\n<h3>Analysis: <\/h3>\n<p>\u4e0b\u9762\u4ecb\u7ecd O(mlogm) \u7b97\u6cd5\u3001\u8bbe\u539f\u56fe\u7684\u6700\u5c0f\u751f\u6210\u6811\u4e3a T\uff0c\u82e5\u4fee\u6539\u4e00\u6761\u975e\u6811\u8fb9\u3001\u90a3\u4e48\u5bf9\u7ed3\u679c\u6ca1\u6709\u5f71\u54cd\uff08\u4fee\u6539\u64cd\u4f5c\u5355\u8c03\u9012\u589e\uff09.. .<br \/>\n\u5982\u679c\u662f\u6811\u8fb9\u3001\u90a3\u4e48\u8fd9\u6761\u8fb9\u53ef\u80fd\u4f1a\u56e0\u4e3a\u8fd9\u6b21\u4fee\u6539\u64cd\u4f5c\u800c\u88ab\u4e00\u6761\u975e\u6811\u8fb9\u66ff\u6362\u6389\u3001\u4e0d\u96be\u53d1\u73b0\u7528\u4ee5\u66ff\u6362\u7684\u8fb9\u662f\u552f\u4e00\u7684\u3002<br \/>\n\u4e8e\u662f\u5f97\u5230\u7b97\u6cd5\uff0c\u5bf9\u6bcf\u4e00\u6761\u975e\u6811\u8fb9\u3001\u677e\u5f1b\u751f\u6210\u6811\u4e0a\u8fd9\u4e24\u70b9\u4e4b\u95f4\u8def\u5f84\u7684\u6240\u6709\u6811\u8fb9\u3002<\/p>\n<p>\u5219\u5bf9\u4e8e\u6bcf\u4e00\u8be2\u95ee \uff08a, b, w&#8217;) .. .<\/p>\n<pre class=\"brush: cpp; light: false; title: ; toolbar: true; notranslate\" title=\"\">\r\n  if (!\u6811\u8fb9) return mst;\r\n  else return mst - w&#x5B;a]&#x5B;b] + min(w', s&#x5B;a]&#x5B;b]);\r\n<\/pre>\n<p>\u5176\u4e2d s[a][b] \u662f\u55ef\u55ef\u55ef\u55ef\u55ef\u7684\u610f\u601d\u3002<\/p>\n<p>\uff08\u5982\u679c\u4f7f\u7528 Kruskal() \u7b97\u6cd5\u6c42\u89e3\u6700\u5c0f\u751f\u6210\u6811\u3002\u3002\u90a3\u4e48\u677e\u5f1b\u7684\u8fc7\u7a0b\u53ef\u4ee5\u7528\u5e76\u67e5\u96c6\u4f18\u5316\u5230 O(m) \u3002\u3002\u3002<br \/>\n\u6b21\u5c0f\u751f\u6210\u6811\u7684\u7b97\u6cd5\u6709\u5f88\u591a\uff0c\u5bf9\u4e8e\u8fd9\u9898\u3001\u4eca\u5e74\u5317\u4eac\u73b0\u573a\u8d5b\u533a Problem A \u7684\u7b97\u6cd5\u53ef\u80fd\u5e76\u4e0d\u9002\u7528\uff1f\u3002\u3002\uff09<\/p>\n<pre class=\"brush: cpp; collapse: true; light: false; title: F; toolbar: true; notranslate\" title=\"F\">\r\n\/** ` Micro Mezzo Macro Flation -- Overheated Economy ., **\/\r\n\r\n#include &lt;algorithm&gt;\r\n#include &lt;iostream&gt;\r\n#include &lt;iomanip&gt;\r\n#include &lt;sstream&gt;\r\n#include &lt;cstring&gt;\r\n#include &lt;complex&gt;\r\n#include &lt;cstdio&gt;\r\n#include &lt;string&gt;\r\n#include &lt;vector&gt;\r\n#include &lt;bitset&gt;\r\n#include &lt;queue&gt;\r\n#include &lt;stack&gt;\r\n#include &lt;cmath&gt;\r\n#include &lt;ctime&gt;\r\n#include &lt;list&gt;\r\n#include &lt;set&gt;\r\n#include &lt;map&gt;\r\n\r\nusing namespace std;\r\n\r\n#define REP(i, n) for (int i=0;i&lt;int(n);++i)\r\n#define FOR(i, a, b) for (int i=int(a);i&lt;int(b);++i)\r\n#define DWN(i, b, a) for (int i=int(b-1);i&gt;=int(a);--i)\r\n#define REP_1(i, n) for (int i=1;i&lt;=int(n);++i)\r\n#define FOR_1(i, a, b) for (int i=int(a);i&lt;=int(b);++i)\r\n#define DWN_1(i, b, a) for (int i=int(b);i&gt;=int(a);--i)\r\n#define REP_C(i, n) for (int n____=int(n),i=0;i&lt;n____;++i)\r\n#define FOR_C(i, a, b) for (int b____=int(b),i=a;i&lt;b____;++i)\r\n#define DWN_C(i, b, a) for (int a____=int(a),i=b-1;i&gt;=a____;--i)\r\n#define REP_N(i, n) for (i=0;i&lt;int(n);++i)\r\n#define FOR_N(i, a, b) for (i=int(a);i&lt;int(b);++i)\r\n#define DWN_N(i, b, a) for (i=int(b-1);i&gt;=int(a);--i)\r\n#define REP_1_C(i, n) for (int n____=int(n),i=1;i&lt;=n____;++i)\r\n#define FOR_1_C(i, a, b) for (int b____=int(b),i=a;i&lt;=b____;++i)\r\n#define DWN_1_C(i, b, a) for (int a____=int(a),i=b;i&gt;=a____;--i)\r\n#define REP_1_N(i, n) for (i=1;i&lt;=int(n);++i)\r\n#define FOR_1_N(i, a, b) for (i=int(a);i&lt;=int(b);++i)\r\n#define DWN_1_N(i, b, a) for (i=int(b);i&gt;=int(a);--i)\r\n#define REP_C_N(i, n) for (n____=int(n),i=0;i&lt;n____;++i)\r\n#define FOR_C_N(i, a, b) for (b____=int(b),i=a;i&lt;b____;++i)\r\n#define DWN_C_N(i, b, a) for (a____=int(a),i=b-1;i&gt;=a____;--i)\r\n#define REP_1_C_N(i, n) for (n____=int(n),i=1;i&lt;=n____;++i)\r\n#define FOR_1_C_N(i, a, b) for (b____=int(b),i=a;i&lt;=b____;++i)\r\n#define DWN_1_C_N(i, b, a) for (a____=int(a),i=b;i&gt;=a____;--i)\r\n\r\n#define DO(n) while(n--)\r\n#define DO_C(n) int n____ = n; while(n____--)\r\n#define TO(i, a, b) int s_=a&lt;b?1:-1,b_=b+s_;for(int i=a;i!=b_;i+=s_)\r\n#define TO_1(i, a, b) int s_=a&lt;b?1:-1,b_=b;for(int i=a;i!=b_;i+=s_)\r\n#define SQZ(i, j, a, b) for (int i=int(a),j=int(b)-1;i&lt;j;++i,--j)\r\n#define SQZ_1(i, j, a, b) for (int i=int(a),j=int(b);i&lt;=j;++i,--j)\r\n#define REP_2(i, j, n, m) REP(i, n) REP(j, m)\r\n#define REP_2_1(i, j, n, m) REP_1(i, n) REP_1(j, m)\r\n\r\n#define ALL(A) A.begin(), A.end()\r\n#define LLA(A) A.rbegin(), A.rend()\r\n#define CPY(A, B) memcpy(A, B, sizeof(A))\r\n#define INS(A, P, B) A.insert(A.begin() + P, B)\r\n#define ERS(A, P) A.erase(A.begin() + P)\r\n#define BSC(A, X) find(ALL(A), X) \/\/ != A.end()\r\n#define CTN(T, x) (T.find(x) != T.end())\r\n#define SZ(A) int(A.size())\r\n#define PB push_back\r\n#define MP(A, B) make_pair(A, B)\r\n\r\n#define Rush int T____; RD(T____); DO(T____)\r\n#pragma comment(linker, &quot;\/STACK:36777216&quot;)\r\n#pragma GCC optimize (&quot;O2&quot;)\r\n#define Ruby system(&quot;ruby main.rb&quot;)\r\n#define Haskell system(&quot;runghc main.hs&quot;)\r\n#define Pascal system(&quot;fpc main.pas&quot;)\r\n\r\ntypedef long long LL;\r\ntypedef double DB;\r\ntypedef unsigned UINT;\r\ntypedef unsigned long long ULL;\r\n\r\ntypedef vector&lt;int&gt; VI;\r\ntypedef vector&lt;char&gt; VC;\r\ntypedef vector&lt;string&gt; VS;\r\ntypedef vector&lt;LL&gt; VL;\r\ntypedef vector&lt;DB&gt; VD;\r\ntypedef set&lt;int&gt; SI;\r\ntypedef set&lt;string&gt; SS;\r\ntypedef set&lt;LL&gt; SL;\r\ntypedef set&lt;DB&gt; SD;\r\ntypedef map&lt;int, int&gt; MII;\r\ntypedef map&lt;string, int&gt; MSI;\r\ntypedef map&lt;LL, int&gt; MLI;\r\ntypedef map&lt;DB, int&gt; MDI;\r\ntypedef map&lt;int, bool&gt; MIB;\r\ntypedef map&lt;string, bool&gt; MSB;\r\ntypedef map&lt;LL, bool&gt; MLB;\r\ntypedef map&lt;DB, bool&gt; MDB;\r\ntypedef pair&lt;int, int&gt; PII;\r\ntypedef pair&lt;int, bool&gt; PIB;\r\ntypedef vector&lt;PII&gt; VII;\r\ntypedef vector&lt;VI&gt; VVI;\r\ntypedef vector&lt;VII&gt; VVII;\r\ntypedef set&lt;PII&gt; SII;\r\ntypedef map&lt;PII, int&gt; MPIII;\r\ntypedef map&lt;PII, bool&gt; MPIIB;\r\n\r\n\r\n\/** I\/O Accelerator **\/\r\n\r\n\/* ... :&quot; We are I\/O Accelerator ... Use us at your own risk ;) ... &quot; .. *\/\r\n\r\ntemplate&lt;class T&gt; inline void RD(T &amp;);\r\ntemplate&lt;class T&gt; inline void OT(const T &amp;);\r\n\r\ninline int RD(){ int x; RD(x); return x;}\r\ntemplate&lt;class T&gt; inline T&amp; _RD(T &amp;x){ RD(x); return x;}\r\ninline void RC(char &amp;c){scanf(&quot; %c&quot;, &amp;c);}\r\ninline void RS(char *s){scanf(&quot;%s&quot;, s);}\r\n\r\ntemplate&lt;class T0, class T1&gt; inline void RD(T0 &amp;x0, T1 &amp;x1){RD(x0), RD(x1);}\r\ntemplate&lt;class T0, class T1, class T2&gt; inline void RD(T0 &amp;x0, T1 &amp;x1, T2 &amp;x2){RD(x0), RD(x1), RD(x2);}\r\ntemplate&lt;class T0, class T1, class T2, class T3&gt; inline void RD(T0 &amp;x0, T1 &amp;x1, T2 &amp;x2, T3 &amp;x3){RD(x0), RD(x1), RD(x2), RD(x3);}\r\ntemplate&lt;class T0, class T1, class T2, class T3, class T4&gt; inline void RD(T0 &amp;x0, T1 &amp;x1, T2 &amp;x2, T3 &amp;x3, T4 &amp;x4){RD(x0), RD(x1), RD(x2), RD(x3), RD(x4);}\r\ntemplate&lt;class T0, class T1, class T2, class T3, class T4, class T5&gt; inline void RD(T0 &amp;x0, T1 &amp;x1, T2 &amp;x2, T3 &amp;x3, T4 &amp;x4, T5 &amp;x5){RD(x0), RD(x1), RD(x2), RD(x3), RD(x4), RD(x5);}\r\ntemplate&lt;class T0, class T1, class T2, class T3, class T4, class T5, class T6&gt; inline void RD(T0 &amp;x0, T1 &amp;x1, T2 &amp;x2, T3 &amp;x3, T4 &amp;x4, T5 &amp;x5, T6 &amp;x6){RD(x0), RD(x1), RD(x2), RD(x3), RD(x4), RD(x5), RD(x6);}\r\ntemplate&lt;class T0, class T1&gt; inline void OT(T0 &amp;x0, T1 &amp;x1){OT(x0), OT(x1);}\r\ntemplate&lt;class T0, class T1, class T2&gt; inline void OT(T0 &amp;x0, T1 &amp;x1, T2 &amp;x2){OT(x0), OT(x1), OT(x2);}\r\ntemplate&lt;class T0, class T1, class T2, class T3&gt; inline void OT(T0 &amp;x0, T1 &amp;x1, T2 &amp;x2, T3 &amp;x3){OT(x0), OT(x1), OT(x2), OT(x3);}\r\ntemplate&lt;class T0, class T1, class T2, class T3, class T4&gt; inline void OT(T0 &amp;x0, T1 &amp;x1, T2 &amp;x2, T3 &amp;x3, T4 &amp;x4){OT(x0), OT(x1), OT(x2), OT(x3), OT(x4);}\r\ntemplate&lt;class T0, class T1, class T2, class T3, class T4, class T5&gt; inline void OT(T0 &amp;x0, T1 &amp;x1, T2 &amp;x2, T3 &amp;x3, T4 &amp;x4, T5 &amp;x5){OT(x0), OT(x1), OT(x2), OT(x3), OT(x4), OT(x5);}\r\ntemplate&lt;class T0, class T1, class T2, class T3, class T4, class T5, class T6&gt; inline void OT(T0 &amp;x0, T1 &amp;x1, T2 &amp;x2, T3 &amp;x3, T4 &amp;x4, T5 &amp;x5, T6 &amp;x6){OT(x0), OT(x1), OT(x2), OT(x3), OT(x4), OT(x5), OT(x6);}\r\n\r\ntemplate&lt;class T&gt; inline void RST(T &amp;A){memset(A, 0, sizeof(A));}\r\ntemplate&lt;class T0, class T1&gt; inline void RST(T0 &amp;A0, T1 &amp;A1){RST(A0), RST(A1);}\r\ntemplate&lt;class T0, class T1, class T2&gt; inline void RST(T0 &amp;A0, T1 &amp;A1, T2 &amp;A2){RST(A0), RST(A1), RST(A2);}\r\ntemplate&lt;class T0, class T1, class T2, class T3&gt; inline void RST(T0 &amp;A0, T1 &amp;A1, T2 &amp;A2, T3 &amp;A3){RST(A0), RST(A1), RST(A2), RST(A3);}\r\ntemplate&lt;class T0, class T1, class T2, class T3, class T4&gt; inline void RST(T0 &amp;A0, T1 &amp;A1, T2 &amp;A2, T3 &amp;A3, T4 &amp;A4){RST(A0), RST(A1), RST(A2), RST(A3), RST(A4);}\r\ntemplate&lt;class T0, class T1, class T2, class T3, class T4, class T5&gt; inline void RST(T0 &amp;A0, T1 &amp;A1, T2 &amp;A2, T3 &amp;A3, T4 &amp;A4, T5 &amp;A5){RST(A0), RST(A1), RST(A2), RST(A3), RST(A4), RST(A5);}\r\ntemplate&lt;class T0, class T1, class T2, class T3, class T4, class T5, class T6&gt; inline void RST(T0 &amp;A0, T1 &amp;A1, T2 &amp;A2, T3 &amp;A3, T4 &amp;A4, T5 &amp;A5, T6 &amp;A6){RST(A0), RST(A1), RST(A2), RST(A3), RST(A4), RST(A5), RST(A6);}\r\n\r\ntemplate&lt;class T&gt; inline void CLR(T &amp;A){A.clear();}\r\ntemplate&lt;class T0, class T1&gt; inline void CLR(T0 &amp;A0, T1 &amp;A1){CLR(A0), CLR(A1);}\r\ntemplate&lt;class T0, class T1, class T2&gt; inline void CLR(T0 &amp;A0, T1 &amp;A1, T2 &amp;A2){CLR(A0), CLR(A1), CLR(A2);}\r\ntemplate&lt;class T0, class T1, class T2, class T3&gt; inline void CLR(T0 &amp;A0, T1 &amp;A1, T2 &amp;A2, T3 &amp;A3){CLR(A0), CLR(A1), CLR(A2), CLR(A3);}\r\ntemplate&lt;class T0, class T1, class T2, class T3, class T4&gt; inline void CLR(T0 &amp;A0, T1 &amp;A1, T2 &amp;A2, T3 &amp;A3, T4 &amp;A4){CLR(A0), CLR(A1), CLR(A2), CLR(A3), CLR(A4);}\r\ntemplate&lt;class T0, class T1, class T2, class T3, class T4, class T5&gt; inline void CLR(T0 &amp;A0, T1 &amp;A1, T2 &amp;A2, T3 &amp;A3, T4 &amp;A4, T5 &amp;A5){CLR(A0), CLR(A1), CLR(A2), CLR(A3), CLR(A4), CLR(A5);}\r\ntemplate&lt;class T0, class T1, class T2, class T3, class T4, class T5, class T6&gt; inline void CLR(T0 &amp;A0, T1 &amp;A1, T2 &amp;A2, T3 &amp;A3, T4 &amp;A4, T5 &amp;A5, T6 &amp;A6){CLR(A0), CLR(A1), CLR(A2), CLR(A3), CLR(A4), CLR(A5), CLR(A6);}\r\ntemplate&lt;class T&gt; inline void CLR(T &amp;A, int n){REP(i, n) CLR(A&#x5B;i]);}\r\ntemplate&lt;class T&gt; inline void FLC(T &amp;A, int x){memset(A, x, sizeof(A));}\r\ntemplate&lt;class T0, class T1&gt; inline void FLC(T0 &amp;A0, T1 &amp;A1, int x){FLC(A0, x), FLC(A1, x);}\r\ntemplate&lt;class T0, class T1, class T2&gt; inline void FLC(T0 &amp;A0, T1 &amp;A1, T2 &amp;A2){FLC(A0), FLC(A1), FLC(A2);}\r\ntemplate&lt;class T0, class T1, class T2, class T3&gt; inline void FLC(T0 &amp;A0, T1 &amp;A1, T2 &amp;A2, T3 &amp;A3){FLC(A0), FLC(A1), FLC(A2), FLC(A3);}\r\ntemplate&lt;class T0, class T1, class T2, class T3, class T4&gt; inline void FLC(T0 &amp;A0, T1 &amp;A1, T2 &amp;A2, T3 &amp;A3, T4 &amp;A4){FLC(A0), FLC(A1), FLC(A2), FLC(A3), FLC(A4);}\r\ntemplate&lt;class T0, class T1, class T2, class T3, class T4, class T5&gt; inline void FLC(T0 &amp;A0, T1 &amp;A1, T2 &amp;A2, T3 &amp;A3, T4 &amp;A4, T5 &amp;A5){FLC(A0), FLC(A1), FLC(A2), FLC(A3), FLC(A4), FLC(A5);}\r\ntemplate&lt;class T0, class T1, class T2, class T3, class T4, class T5, class T6&gt; inline void FLC(T0 &amp;A0, T1 &amp;A1, T2 &amp;A2, T3 &amp;A3, T4 &amp;A4, T5 &amp;A5, T6 &amp;A6){FLC(A0), FLC(A1), FLC(A2), FLC(A3), FLC(A4), FLC(A5), FLC(A6);}\r\n\r\ntemplate&lt;class T&gt; inline void SRT(T &amp;A){sort(ALL(A));}\r\ntemplate&lt;class T, class C&gt; inline void SRT(T &amp;A, C B){sort(ALL(A), B);}\r\n\r\n\r\n\r\n\r\n\/** Add - On **\/\r\n\r\nconst int MOD = 1000000007;\r\nconst int INF = 0x7f7f7f7f;\r\nconst DB EPS = 1e-6;\r\nconst DB OO = 1e15;\r\nconst DB PI = acos(-1.0);\r\n\r\n\/\/ &lt;&lt;= ` 0. Daily Use .,\r\n\r\ntemplate&lt;class T&gt; inline void checkMin(T &amp;a,const T b){if (b&lt;a) a=b;}\r\ntemplate&lt;class T&gt; inline void checkMax(T &amp;a,const T b){if (b&gt;a) a=b;}\r\ntemplate &lt;class T, class C&gt; inline void checkMin(T&amp; a, const T b, C c){if (c(b,a)) a = b;}\r\ntemplate &lt;class T, class C&gt; inline void checkMax(T&amp; a, const T b, C c){if (c(a,b)) a = b;}\r\ntemplate&lt;class T&gt; inline T min(T a, T b, T c){return min(min(a, b), c);}\r\ntemplate&lt;class T&gt; inline T max(T a, T b, T c){return max(max(a, b), c);}\r\ntemplate&lt;class T&gt; inline T sqr(T a){return a*a;}\r\ntemplate&lt;class T&gt; inline T cub(T a){return a*a*a;}\r\nint Ceil(int x, int y){return (x - 1) \/ y + 1;}\r\n\r\n\/\/ &lt;&lt;= ` 1. Bitwise Operation .,\r\n\r\ninline bool _1(int x, int i){return x &amp; 1&lt;&lt;i;}\r\ninline int _1(int i){return 1&lt;&lt;i;}\r\ninline int _U(int i){return _1(i) - 1;};\r\n\r\ninline int count_bits(int x){\r\n    x = (x &amp; 0x55555555) + ((x &amp; 0xaaaaaaaa) &gt;&gt; 1);\r\n    x = (x &amp; 0x33333333) + ((x &amp; 0xcccccccc) &gt;&gt; 2);\r\n    x = (x &amp; 0x0f0f0f0f) + ((x &amp; 0xf0f0f0f0) &gt;&gt; 4);\r\n    x = (x &amp; 0x00ff00ff) + ((x &amp; 0xff00ff00) &gt;&gt; 8);\r\n    x = (x &amp; 0x0000ffff) + ((x &amp; 0xffff0000) &gt;&gt; 16);\r\n    return x;\r\n}\r\n\r\ntemplate&lt;class T&gt; inline T low_bit(T x) {\r\n    return x &amp; -x;\r\n}\r\n\r\ntemplate&lt;class T&gt; inline T high_bit(T x) {\r\n    T p = low_bit(x);\r\n    while (p != x) x -= p, p = low_bit(x);\r\n    return p;\r\n}\r\n\r\n\/\/ &lt;&lt;= ` 2. Modular Arithmetic Basic .,\r\n\r\ninline void INC(int &amp;a, int b){a += b; if (a &gt;= MOD) a -= MOD;}\r\ninline int sum(int a, int b){a += b; if (a &gt;= MOD) a -= MOD; return a;}\r\ninline void DEC(int &amp;a, int b){a -= b; if (a &lt; 0) a += MOD;}\r\ninline int dff(int a, int b){a -= b; if (a &lt; 0) a  += MOD; return a;}\r\ninline void MUL(int &amp;a, int b){a = int((LL)a * b % MOD);}\r\ninline int pdt(int a, int b){return int((LL)a * b % MOD);}\r\n\r\n\r\n\/\/ &lt;&lt;= ' 0. I\/O Accelerator interface .,\r\n\r\ntemplate&lt;class T&gt; inline void RD(T &amp;x){\r\n    \/\/cin &gt;&gt; x;\r\n    \/\/scanf(&quot;%d&quot;, &amp;x);\r\n    char c; for (c = getchar(); c &lt; '0'; c = getchar()); x = c - '0'; for (c = getchar(); c &gt;= '0'; c = getchar()) x = x * 10 + c - '0';\r\n    \/\/char c; c = getchar(); x = c - '0'; for (c = getchar(); c &gt;= '0'; c = getchar()) x = x * 10 + c - '0';\r\n\r\n}\r\n\r\nint ____Case;\r\ntemplate&lt;class T&gt; inline void OT(const T &amp;x){\r\n    \/\/cout &lt;&lt; x &lt;&lt; endl;\r\n    printf(&quot;%.4lf\\n&quot;, x);\r\n    \/\/printf(&quot;%.2lf\\n&quot;, x);\r\n    \/\/printf(&quot;Case %d: %d\\n&quot;, ++____Case, x);\r\n}\r\n\r\n\r\n#define For_each(it, A) for (SII::iterator it = A.begin(); it != A.end(); ++it)\r\n\r\n\/* .................................................................................................................................. *\/\r\n\r\nconst int N = 3009, M = N * N;\r\n\r\nint w&#x5B;N]&#x5B;N], s&#x5B;N]&#x5B;N]; bool InMst&#x5B;N]&#x5B;N]; int P&#x5B;N], R&#x5B;N];\r\nPII E&#x5B;M]; VI adj&#x5B;N]; bool c&#x5B;N]; int d&#x5B;N]; int prd&#x5B;N], vis&#x5B;N], m, _i;\r\nint n, q, mst;\r\n\r\nvoid Make(int x){\r\n    P&#x5B;x] = x, R&#x5B;x] = 0;\r\n}\r\n\r\nint Find(int x){\r\n    if (P&#x5B;x] != x) P&#x5B;x] = Find(P&#x5B;x]);\r\n    return P&#x5B;x];\r\n}\r\n\r\nvoid Union(int x, int y){\r\n    if (R&#x5B;x] &lt; R&#x5B;y]) P&#x5B;y] = x;\r\n    else {\r\n        if (R&#x5B;x] == R&#x5B;y]) R&#x5B;y]++;\r\n        P&#x5B;x] = y;\r\n    }\r\n}\r\n\r\nvoid Prim1(){\r\n\r\n    m = 0, RST(c), FLC(d, 0x7f), CPY(s, w), d&#x5B;0] = 0;\r\n\r\n    REP(i, n){\r\n        int u = 0; while (c&#x5B;u]) ++u; FOR(i, u+1, n) if (!c&#x5B;i] &amp;&amp; d&#x5B;i] &lt; d&#x5B;u]) u = i;\r\n        if (d&#x5B;u]) s&#x5B;prd&#x5B;u]]&#x5B;u] = INF - 1, E&#x5B;m++] = MP(prd&#x5B;u], u); c&#x5B;u] = true;\r\n        REP(v, n) if (!c&#x5B;v] &amp;&amp; w&#x5B;u]&#x5B;v] &lt; d&#x5B;v]) d&#x5B;v] = w&#x5B;u]&#x5B;v], prd&#x5B;v] = u;\r\n    }\r\n}\r\n\r\nvoid Prim2(){\r\n\r\n    RST(c), FLC(d, 0x7f), d&#x5B;0] = 0;\r\n\r\n    REP(i, n){\r\n        int u = 0; while(c&#x5B;u]) ++u; FOR(i, u+1, n) if (!c&#x5B;i] &amp;&amp; d&#x5B;i] &lt; d&#x5B;u]) u = i;\r\n        if (d&#x5B;u]) s&#x5B;prd&#x5B;u]]&#x5B;u] = INF - 1, E&#x5B;m++] = MP(prd&#x5B;u], u); c&#x5B;u] = true;\r\n        REP(v, n) if (!c&#x5B;v] &amp;&amp; s&#x5B;u]&#x5B;v] &lt; d&#x5B;v]) d&#x5B;v] = s&#x5B;u]&#x5B;v], prd&#x5B;v] = u;\r\n    }\r\n\r\n}\r\n\r\n#define a first\r\n#define b second\r\n\r\nbool comp(PII x, PII y){\r\n    return w&#x5B;x.a]&#x5B;x.b] &lt; w&#x5B;y.a]&#x5B;y.b];\r\n}\r\n\r\nvoid Kruskal(){\r\n    sort(E, E+m, comp); REP(i, n) Make(i); RST(InMst); mst = 0;\r\n\r\n    REP(i, n) CLR(adj&#x5B;i]);\r\n\r\n    REP(i, m){\r\n        if (Find(E&#x5B;i].a) == Find(E&#x5B;i].b)) continue; Union(Find(E&#x5B;i].a), Find(E&#x5B;i].b));\r\n        InMst&#x5B;E&#x5B;i].a]&#x5B;E&#x5B;i].b] = true, mst += w&#x5B;E&#x5B;i].a]&#x5B;E&#x5B;i].b], adj&#x5B;E&#x5B;i].a].PB(E&#x5B;i].b), adj&#x5B;E&#x5B;i].b].PB(E&#x5B;i].a);\r\n    }\r\n}\r\n\r\n#define v adj&#x5B;u]&#x5B;i]\r\n\r\nvoid dfs(int u = 0, int p = -1){\r\n    prd&#x5B;u] = p; REP(i, SZ(adj&#x5B;u])) if (v != p){\r\n        dfs(v, u);\r\n    }\r\n}\r\n\r\n#undef v\r\n\r\nint lca(int a, int b){\r\n    while (a != 0){\r\n        vis&#x5B;a] = _i;\r\n        a = prd&#x5B;a];\r\n    }\r\n\r\n    vis&#x5B;0] = _i;\r\n\r\n    while (vis&#x5B;b] != _i){\r\n        b = prd&#x5B;b];\r\n    }\r\n\r\n    return b;\r\n}\r\n\r\nvoid link(int a, int b, int c){\r\n\r\n    int p = lca(a, b), t;\r\n\r\n#define Cloze(a, b) if (!s&#x5B;a]&#x5B;b]) s&#x5B;a]&#x5B;b] = s&#x5B;b]&#x5B;a] = c\r\n\r\n    while (a != p){\r\n        Cloze(a, prd&#x5B;a]);\r\n        t = prd&#x5B;a], prd&#x5B;a] = p, a = t;\r\n    }\r\n\r\n    while (b != p){\r\n        Cloze(b, prd&#x5B;b]);\r\n        t = prd&#x5B;b], prd&#x5B;b] = p, b = t;\r\n    }\r\n}\r\n\r\nvoid Relax(){\r\n    RST(vis, prd, s); dfs(); REP(i, m){\r\n        if (InMst&#x5B;E&#x5B;i].a]&#x5B;E&#x5B;i].b]) continue; _i = i + 1;\r\n        link(E&#x5B;i].a, E&#x5B;i].b, w&#x5B;E&#x5B;i].a]&#x5B;E&#x5B;i].b]);\r\n    }\r\n\r\n    REP(i, n) FOR(j, i+1, n) if (!s&#x5B;i]&#x5B;j]) s&#x5B;i]&#x5B;j] = INF;\r\n}\r\n\r\n#undef a\r\n#undef b\r\n\r\nint main(){\r\n\r\n    \/\/freopen(&quot;in.txt&quot;, &quot;r&quot;, stdin);\r\n\r\n    while (scanf(&quot;%d %d&quot;, &amp;n, &amp;m) != EOF &amp;&amp; n){\r\n\r\n        int a, b; FLC(w, 0x7f); REP(i, m){\r\n            RD(a, b); if (a &gt; b) swap(a, b); RD(w&#x5B;a]&#x5B;b]);\r\n        }\r\n\r\n        if (false &amp;&amp; m &gt; 2 * n) Prim1(), Prim2();\r\n        else {m = 0; REP(i, n) FOR(j, i+1, n) if (w&#x5B;a]&#x5B;b] != INF) E&#x5B;m++] = MP(i, j);}\r\n\r\n        Kruskal(); Relax();\r\n\r\n        int sum = 0; int ww; DO_C(_RD(q)){\r\n            RD(a, b, ww); if (a &gt; b) swap(a, b);\r\n\r\n            if (!InMst&#x5B;a]&#x5B;b]) sum += mst;\r\n            else sum += mst - w&#x5B;a]&#x5B;b] + min(ww, s&#x5B;a]&#x5B;b]);\r\n        }\r\n\r\n        OT(DB(sum) \/ q);\r\n    }\r\n}\r\n<\/pre>\n<h3>Further discussion: <\/h3>\n<p>\u6c42 O(n2) \u7b97\u6cd5\uff01\uff01\uff01<\/p>\n<h3>External link: <\/h3>\n<p><a href=\"http:\/\/acm.hdu.edu.cn\/showproblem.php?pid=4126\">http:\/\/acm.hdu.edu.cn\/showproblem.php?pid=4126<\/a><br \/>\n<a href=\"http:\/\/www.cppblog.com\/MatoNo1\/archive\/2011\/11\/16\/149812.html\">http:\/\/www.cppblog.com\/MatoNo1\/archive\/2011\/11\/16\/149812.html<\/a><br \/>\n<a href=\"https:\/\/www.shuizilong.com\/house\/wp-admin\/post.php?post=2498&#038;action=edit&#038;message=1\">https:\/\/www.shuizilong.com\/house\/wp-admin\/post.php?post=2498&#038;action=edit&#038;message=1<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Brief description: \u3002\u3002\u7ed9\u5b9a\u4e00\u4e2a N \u4e2a\u9876\u70b9\u7684\u65e0\u5411\u56fe\uff08\u7a20\u5bc6\uff09\u3001\u56de\u7b54 Q \u6b21\u8be2\u95ee\u3002 \u95ee\u4e00\u6761\u8fb9\u7684\u6743\u503c\u589e\u52a0\u4e3a ci&#8217; \u540e\uff0c\u65b0\u56fe\u7684 MST\u3002 (. .. N<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false}}},"categories":[47],"tags":[50,49],"class_list":["post-144","post","type-post","status-publish","format-standard","hentry","category-hdu","tag-50","tag-49"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p2tdP7-2k","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/144","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/comments?post=144"}],"version-history":[{"count":0,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/144\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/media?parent=144"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/categories?post=144"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/tags?post=144"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}