鍩烘湰鎻忚堪錛?br />
鏈韓鏄竴涓粠鏍瑰紑濮嬬殑娣卞害浼樺厛鎼滅儲
1 涓鴻緭鍏ヨ妭鐐規(guī)瀯寤轟竴涓崟鑺傜偣鐨勬爲(wèi) // MAKE_SET
2 瀵規(guī)瘡涓瓙鑺傜偣錛岄掑綊璋冪敤璇ョ畻娉曞畬鎴愬瓙鏍?wèi)鍐呮墍鏈夋煡璇紝
鍐嶅皢瀛愯妭鐐圭殑ancester鎸囧悜鏈妭鐐癸紝褰掑茍緇撴灉鏍?nbsp; // UNION
3 澶勭悊瀹屾墍鏈夊瓙鑺傜偣鍚庯紝灝嗘湰鑺傜偣鏍囦負(fù)checked
4 閬嶅巻鏌ヨ闆嗕腑鍜岃鑺傜偣鏈夊叧鐨勬煡璇紝媯鏌ュ彟涓涓妭鐐規(guī)槸鍚﹀凡鏍囦負(fù)checked錛屽鏋滄槸鐨勮瘽璇存槑
1錛?璇ヨ妭鐐瑰湪鏈妭鐐圭殑瀛愭爲(wèi)
2錛?璇ヨ妭鐐瑰拰鏈妭鐐瑰湪鍙︿竴鑺傜偣鐨勫瓙鏍?wèi)涓Q岃屼笖璇ヨ妭鐐瑰凡琚煡璇?br />
鏃犺鍝鎯呭喌錛屾鏌ヨ鑺傜偣鎵鍦ㄦ爲(wèi)鐨勬牴灝辨槸榪欎袱涓妭鐐圭殑LCA鑺傜偣
濡傛灉娌℃湁鏍囪瘑checked錛屽彧闇綆鍗曡煩榪囷紝褰撻亶鍘嗗埌璇ヨ妭鐐規(guī)椂灝卞彲浠ュ畬鎴愭煡璇簡
涓嬮潰鏄痡ava鐨勫疄鐜頒唬鐮佸拰綆鍗曟祴璇?br />
import java.util.*;
public class Tarjan{
static void lca( Node p, ArrayList<Query> q ){
MAKE_SET(p);
//FIND(p).ancester=p;
for( Node i : p.childs){
lca( i, q );
UNION( p, i );
FIND(p).ancester=p;
}
p.checked=true;
for( Query query : q ){
if( query.p1==p ){
if( query.p2.checked ){
query.result=FIND(query.p2);
}
}else if( query.p2==p ){
if( query.p1.checked ){
query.result=FIND(query.p1);
}
}else{
continue;
}
}
}
static void MAKE_SET( Node p ){
p.ancester = p;
}
static Node FIND( Node p ){
Node r=p;
for( ; r.ancester!=r; r=r.ancester );
return r;
}
static void UNION( Node p, Node q ){
q.ancester=p;
}
public static void main( String args[] ){
// create tree
Node p[]=new Node[24];
p[0]=new Node(0,null); // root
p[1]=new Node(1,p[0]);
p[2]=new Node(2,p[0]);
p[3]=new Node(3,p[0]);
p[4]=new Node(4,p[1]);
p[5]=new Node(5,p[1]);
p[6]=new Node(6,p[1]);
p[7]=new Node(7,p[2]);
p[8]=new Node(8,p[2]);
p[9]=new Node(9,p[3]);
p[10]=new Node(10,p[3]);
p[11]=new Node(11,p[3]);
p[12]=new Node(12,p[4]);
p[13]=new Node(13,p[4]);
p[14]=new Node(14,p[6]);
p[15]=new Node(15,p[8]);
p[16]=new Node(16,p[10]);
p[17]=new Node(17,p[10]);
p[18]=new Node(18,p[14]);
p[19]=new Node(19,p[14]);
p[20]=new Node(20,p[17]);
p[21]=new Node(21,p[17]);
p[22]=new Node(22,p[17]);
p[23]=new Node(23,p[11]);
// make lca query
ArrayList< Query > q= new ArrayList<Query>();
q.add( new Query(p[15], p[19]));
q.add( new Query(p[21], p[16]));
q.add( new Query(p[14], p[14]));
q.add( new Query(p[4], p[23]));
q.add( new Query(p[23], p[16]));
// lca
lca( p[0], q );
// dump results
for( Query item : q ){
System.out.println( item.p1+":"+item.p2+": result is:"+item.result );
}
}
}
class Node{
public Node( int id, Node parent ){
this.id=id;
if( parent != null ){
parent.childs.add(this);
}else{
assert this.id==0;
}
this.checked=false;
this.ancester=null;
this.childs=new ArrayList<Node>();
}
int id;
ArrayList<Node> childs;
public String toString(){
return "Node:<"+id+">";
}
Node ancester; // used for lca search
boolean checked; // used for lca search
}
class Query{
public Query( Node p1, Node p2 ){
assert p1!=null && p2!=null;
this.p1=p1;
this.p2=p2;
this.result=null;
}
Node p1;
Node p2;
Node result;
}
嫻嬭瘯浣跨敤鐨勬爲(wèi)錛?br />
0
+--------------+--------------------+
| | |
1 2 3
+-----+------+ +---+ +-------+---------+
| | | | | | | |
4 5 6 7 8 9 10 11
+---+ + + +--+------+ |
| | | | | | 23
12 13 14 15 16 17
+--------+ +----+----+
| | | | |
18 19 20 21 22
PS錛屽樊鐐瑰繕浜嗭紝紲漧p鐢熸棩蹇箰

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