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[Accepted][POJ1986]Tarjan求lca

嗯,这个就作为Tarjan求lca的模板了。

网上很多解法用了ancestor数组,其实不需要,只要在合并并查集时记得将叶子合并到树根就行了。

注意不联通情况下的处理。

数组要开2N。

Problem: 1986 User: HTwood
Memory: 4308K Time: 141MS
Language: Pascal Result: Accepted
program graph;

Type
 rec=record
   e,w,next:longint;
 end;
 
 rec2=record
   e,num,next:longint;
 end;
 
 rec3=record
   s,e:longint;
 end;
 
Var
 a:array[0..100000] of rec;
 b,c,f,ans,l:array[0..100000] of longint;
 que:array[0..100000] of rec3;
 q:array[0..100000] of rec2;
 v:array[0..100000] of boolean;
 ch:char;
 n,m,i,ss,ee,ww,top,top2,top3:longint;

Procedure fopen;
  begin
  assign(input,'graph.in');
  assign(output,'graph.out');
  reset(input);
  rewrite(output);
end;

Procedure fclose;
  begin
  close(input);
  close(output);
end;

Procedure Add(ss,ee,ww:longint);
  begin
  inc(top);
  with a[top] do
    begin
    e:=ee;
    w:=ww;
    next:=b[ss];
  end;
  b[ss]:=top;
end;

Procedure Add2(ss,ee,pnum:longint);
  begin
  inc(top2);
  with q[top2] do
    begin
    e:=ee;
    num:=pnum;
    next:=c[ss];
  end;
  c[ss]:=top2;
end;

Procedure AddQ(ss,ee:longint);
  begin
  inc(top3);
  que[top3].s:=ss;
  que[top3].e:=ee;
end;

Procedure init;
var
 i:longint;
  begin
  for i:=1 to n do
    f[i]:=i;
  fillchar(v,sizeof(v),false);
end;

Function find(P:longint):longint;inline;
var
 x:longint;
  begin
  x:=p;
  while f[x]<>x do x:=f[x];
  f[p]:=x;
  exit(x);
end;

Procedure Dfs(P:longint);
var
 g:longint;
 x:rec;
 y:rec2;
  begin
  //writeln('dfs(',p,')');
  f[p]:=p;
  
  v[p]:=true;
   g:=c[p];
  while g>0 do
    begin
    y:=q[g];
    g:=y.next;
    //writeln('p=',p,' Y=',y.e);
    if v[y.e] then
      ans[y.num]:=find(y.e);
  end;
  
  g:=b[p];
  
  
  while g>0 do
    begin
    x:=a[g];
    g:=x.next;
    if not v[x.e] then
      begin
      l[x.e]:=l[p]+x.w;
      dfs(x.e);
      f[find(x.e)]:=p;
    end;
  end;
  
 
end;

  begin

  readln(n,m);
  top:=0;top2:=0;
  top3:=0;
  for i:=1 to m do
    begin
    read(ss,ee,ww);
    readln(ch);
    Add(ss,ee,ww);
    Add(ee,ss,ww);
  end;
  readln(m);
  for i:=1 to m do
    begin
    readln(ss,ee);
    AddQ(ss,ee);
    Add2(ss,ee,i);
    Add2(ee,ss,i);
  end;
  init;
  for i:=1 to n do if not v[i] then Dfs(i);
  for i:=1 to m do
    writeln(l[que[i].s]+l[que[i].e]-2*l[ans[i]]);

end.

 

posted on 2013-03-14 21:48  灰天飞雁  阅读(628)  评论(0编辑  收藏  举报

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