• bzoj1565


    很明显是最大权闭合子图,但要注意
    互相保护的植物打不掉,被互相保护的植物所直接或间接保护的植物也打不掉
    我们先拓扑排序然后dfs出能打掉的点,然后做最大权闭合子图

      1 const inf=1000000007;
      2 type node=record
      3        po,flow,next:longint;
      4      end;
      5 
      6 var e,w:array[0..800010] of node;
      7     num:array[0..21,0..32] of longint;
      8     cur,pre,p,st,q,numh,s,h,d:array[0..700] of longint;
      9     can,v:array[0..700] of boolean;
     10     n,m,i,j,x,y,len,k,t,f:longint;
     11 
     12 function min(a,b:longint):longint;
     13   begin
     14     if a>b then exit(b) else exit(a);
     15   end;
     16 
     17 procedure add(x,y:longint);
     18   begin
     19     inc(len);
     20     w[len].po:=y;
     21     inc(d[y]);
     22     w[len].next:=q[x];
     23     q[x]:=len;
     24   end;
     25 
     26 procedure ins(x,y,f:longint);
     27   begin
     28     inc(len);
     29     e[len].po:=y;
     30     e[len].flow:=f;
     31     e[len].next:=p[x];
     32     p[x]:=len;
     33   end;
     34 
     35 procedure build(x,y,f:longint);
     36   begin
     37     ins(x,y,f);
     38     ins(y,x,0);
     39   end;
     40 
     41 procedure dfs(x:longint);
     42   var i,y:longint;
     43   begin
     44     v[x]:=true;
     45     can[x]:=false;
     46     i:=q[x];
     47     while i<>0 do
     48     begin
     49       y:=w[i].po;
     50       if not v[y] then dfs(y);
     51       i:=w[i].next;
     52     end;
     53   end;
     54 
     55 function sap:longint;
     56   var i,j,u,tmp,neck,q:longint;
     57   begin
     58     u:=0;
     59     sap:=0;
     60     for i:=0 to t do
     61       cur[i]:=p[i];
     62     numh[0]:=t+1;
     63     neck:=inf;
     64     while h[0]<t+1 do
     65     begin
     66       i:=cur[u];
     67       d[u]:=neck;
     68       while i<>-1 do
     69       begin
     70         j:=e[i].po;
     71         if (e[i].flow>0) and (h[u]=h[j]+1) then
     72         begin
     73           neck:=min(neck,e[i].flow);
     74           cur[u]:=i;
     75           pre[j]:=u;
     76           u:=j;
     77           if u=t then
     78           begin
     79             sap:=sap+neck;
     80             while u<>0 do
     81             begin
     82               u:=pre[u];
     83               j:=cur[u];
     84               dec(e[j].flow,neck);
     85               inc(e[j xor 1].flow,neck);
     86             end;
     87             neck:=inf;
     88           end;
     89           break;
     90         end;
     91         i:=e[i].next;
     92       end;
     93       if i=-1 then
     94       begin
     95         dec(numh[h[u]]);
     96         if numh[h[u]]=0 then exit;
     97         q:=-1;
     98         tmp:=t;
     99         i:=p[u];
    100         while i<>-1 do
    101         begin
    102           j:=e[i].po;
    103           if e[i].flow>0 then
    104             if h[j]<tmp then
    105             begin
    106               q:=i;
    107               tmp:=h[j];
    108             end;
    109           i:=e[i].next;
    110         end;
    111         h[u]:=tmp+1;
    112         inc(numh[h[u]]);
    113         cur[u]:=q;
    114         if u<>0 then
    115         begin
    116           u:=pre[u];
    117           neck:=d[u];
    118         end;
    119       end;
    120     end;
    121   end;
    122 
    123 begin
    124   readln(n,m);
    125   for i:=0 to n-1 do
    126     for j:=0 to m-1 do
    127     begin
    128       inc(k);
    129       num[i,j]:=k;
    130     end;
    131 
    132   for i:=1 to n*m do
    133   begin
    134     read(s[i],k);
    135     for j:=1 to k do
    136     begin
    137       read(x,y);
    138       add(i,num[x,y]);
    139     end;
    140   end;
    141   for i:=0 to n do
    142     for j:=m-1 downto 1 do
    143       add(num[i,j],num[i,j-1]);
    144 
    145   f:=1; t:=0;
    146   for i:=1 to n*m do
    147     if d[i]=0 then
    148     begin
    149       inc(t);
    150       st[t]:=i;
    151     end;
    152 
    153   while f<=t do
    154   begin
    155     x:=st[f];
    156     can[x]:=true;
    157     i:=q[x];
    158     while i<>0 do
    159     begin
    160       y:=w[i].po;
    161       dec(d[y]);
    162       if d[y]=0 then
    163       begin
    164         inc(t);
    165         st[t]:=y;
    166       end;
    167       i:=w[i].next;
    168     end;
    169     inc(f);
    170   end;
    171   for i:=1 to n*m do
    172     if not can[i] then
    173     begin
    174       fillchar(v,sizeof(v),false);
    175       dfs(i);
    176     end;
    177   t:=n*m+1; k:=0; len:=-1;
    178   fillchar(p,sizeof(p),255);
    179   for i:=1 to n*m do
    180     if can[i] then
    181     begin
    182       if s[i]>0 then
    183       begin
    184         build(0,i,s[i]);
    185         k:=k+s[i];
    186       end
    187       else build(i,t,-s[i]);
    188       j:=q[i];
    189       while j<>0 do
    190       begin
    191         y:=w[j].po;
    192         if can[y] then build(y,i,inf);
    193         j:=w[j].next;
    194       end;
    195     end;
    196   writeln(k-sap);
    197 end.
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  • 原文地址:https://www.cnblogs.com/phile/p/4472939.html
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