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pku1330 Nearest Common Ancestors

2012年04月12日 ⁄ 综合 ⁄ 共 2154字 ⁄ 字号 评论关闭

裸的求最近公共祖先,LCA-->RMQ,没什么大问题,只不过标号不再完美,需要在深度序列中找最小值,最后再对应回去。

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  1 rogram pku1330(input,output);
  2 type
  3    node    = ^link;
  4    link    = record
  5          goal : longint;
  6          next : node;
  7       end;
  8 var
  9    tree       : array[0..31000] of node;
 10    eurl       : array[0..30000] of longint;
 11    depth   : array[0..30000] of longint;
 12    pos       : array[0..31000] of longint;
 13    f       : array[0..21000,0..20] of longint;
 14    v       : array[0..11000] of boolean;
 15    root       : longint;
 16    n,tot   : longint;
 17    i,cases : longint;
 18 function max(aa,bb: longint ):longint;
 19 begin
 20    if aa>bb then
 21       exit(aa);
 22    exit(bb);
 23 end; { max }
 24 function min(aa,bb : longint ):longint;
 25 begin
 26    if aa<bb then
 27       exit(aa);
 28    exit(bb);
 29 end; { min }
 30 procedure add(xx,yy :longint );
 31 var
 32    tt : node;
 33 begin
 34    new(tt);
 35    tt^.goal:=yy;
 36    tt^.next:=tree[xx];
 37    tree[xx]:=tt;
 38 end; { add }
 39 procedure delete();
 40 var
 41    tt : node;
 42 begin
 43    for i:=1 to n do
 44       while tree[i]<>nil do
 45       begin
 46      tt:=tree[i];
 47      tree[i]:=tt^.next;
 48      dispose(tt);
 49       end;
 50 end; { delete }
 51 procedure init;
 52 var
 53    i,xx,yy : longint;
 54 begin
 55    readln(n);
 56    fillchar(v,sizeof(v),false);
 57    for i:=1 to n-1 do
 58    begin
 59       readln(xx,yy);
 60       add(xx,yy);
 61       v[yy]:=true;
 62    end;
 63    for i:=1 to n do
 64       if not v[i] then
 65       begin
 66      root:=i;
 67      break;
 68       end;
 69    for i:=1 to n do
 70       pos[i]:=-1;
 71    tot:=0;
 72 end; { init }
 73 procedure dfs(now,dep :longint );
 74 var
 75    t : node;
 76 begin
 77    inc(tot);
 78    eurl[tot]:=now;
 79    depth[tot]:=dep;
 80    if pos[now]=-1 then
 81       pos[now]:=tot;
 82    t:=tree[now];
 83    while t<>nil do
 84    begin
 85       dfs(t^.goal,dep+1);
 86       inc(tot);
 87       eurl[tot]:=now;
 88       depth[tot]:=dep;
 89       t:=t^.next;
 90    end;
 91 end; { dfs }
 92 procedure Sparse_Table();
 93 var
 94    i,j : longint;
 95 begin
 96    for i:=1 to tot do
 97       f[i,0]:=i;
 98    for j:=1 to trunc(ln(tot)/ln(2)) do
 99       for i:=1 to tot do
100      if i+1<<(j-1)>tot then
101         break
102      else
103      begin
104         if depth[f[i,j-1]]<depth[f[i+1<<(j-1),j-1]] then
105            f[i,j]:=f[i,j-1]
106         else
107            f[i,j]:=f[i+1<<(j-1),j-1];
108      end;
109 end; { Sparse_Table }
110 procedure solve();
111 var
112    x,y,t,xx,yy : longint;
113 begin
114    readln(x,y);
115    xx:=pos[x];
116    yy:=pos[y];
117    x:=min(xx,yy);
118    y:=max(xx,yy);
119    t:=trunc(ln(y-x+1)/ln(2));
120    if depth[f[x,t]]<depth[f[y-1<<t+1,t]] then
121       writeln(eurl[f[x,t]])
122    else
123       writeln(eurl[f[y-1<<t+1,t]]);
124 end; { solve }
125 begin
126    for i:=1 to 10001 do
127       tree[i]:=nil;
128    readln(cases);
129    while cases>0 do
130    begin
131       dec(cases);
132       delete();
133       init;
134       dfs(root,0);
135       Sparse_Table();
136       solve();
137    end;
138 end.

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