【推荐学习:《PHP视频教程》】
链表
链表是一种物理存储单元上非连续、非顺序的存储结构,数据元素的逻辑顺序是通过链表中的指针链接次序实现的。链表由一系列结点(链表中每一个元素称为结点)组成,结点可以在运行时动态生成。
形式:单链表、双链表、跳表(redis 集合数据结构就是跳表实现,时间复杂度O(log N))
跳表了解:https://lotabout.me/2018/skip-list/
php实现对链表的增删改查操作
定义节点类:
val = $val;
$this->next = $next;
}
}链表类:
head = new Node();
$this->size = 0;
}
//头插法
public function addFirst( $value ){
// $node = new Node($value);
// $node->next = $this->head;
// $this->head = $node;
//简化
// $this->head = new Node( $value, $this->head );
// $this->size++;
$this->add(0,$value);
}
public function add( $index, $value ){
if( $index > $this->size )
throw new Exception('超过链表范围');
// if( $index==0 ){
// $this->addFirst($value);
// }else{
$prev = $this->head;
for($i=0;$i<$index;$i++){
$prev = $prev->next;
}
// $node = new Node($value);
// $node->next = $prev->next;
// $prev->next = $node;
$prev->next = new Node($value,$prev->next);
// }
$this->size++;
}
public function addLast( $value ){
$this->add($this->size,$value);
}
public function edit( $index, $value ){
if( $index > $this->size-1 )
throw new Exception('超过链表范围');
$prev = $this->head->next;
for($i=0;$i<=$index;$i++){
if( $i==$index )
$prev->val = $value;
$prev = $prev->next;
}
}
public function select($index){
if( $index > $this->size-1 )
throw new Exception('超过链表范围');
$prev = $this->head->next;
for($i=0;$i<=$index;$i++){
if( $i==$index )
return $prev;
$prev = $prev->next;
}
}
public function delete( $index ){
if( $index > $this->size-1 )
throw new Exception('超过链表范围');
$prev = $this->head;
for($i=0;$i<=$index;$i++){
if( $i==$index )
$prev->next = $prev->next->next;
$prev = $prev->next;
}
$this->size--;
}
public function iscontain( $value ){
$prev = $this->head->next;
while( $prev ){
if( $prev->val==$value ){
return true;
}
$prev = $prev->next;
}
return false;
}
public function tostring(){
$prev = $this->head->next;
$r = [];
while( $prev ){
$r[] = $prev->val;
$prev = $prev->next;
}
return implode('->',$r);
}
public function removeFileds( $value ){
$prev = $this->head;
while( $prev->next ){
if( $prev->val == $value ){
$prev->val = $prev->next->val;
$prev->next = $prev->next->next;
}else{
$prev = $prev->next;
}
}
}
public function removeFiledsByRecursion( $value ){
$this->head = $this->removeByRecursion( $this->head ,$value);
return $this->head;
}
public function removeByRecursion( $node , $value, $level=0 ){
if( $node->next == null ){
$this->showDeeep($level,$node->val);
return $node->val == $value ? $node->next:$node;
}
$this->showDeeep($level,$node->val);
$node->next = $this->removeByRecursion( $node->next,$value,++$level );
$this->showDeeep($level,$node->val);
return $node->val == $value ? $node->next:$node;
}
public function showDeeep( $level=1,$val ){
if( $level<1 ){
return false;
}
while($level--){
echo '-';
}
echo "$valn";
}
}调用操作如下:
addFirst(1); $node->add(1,7); $node->add(2,10); $node->edit(1,8); var_dump($node->select(1)) ; $node->delete(1); $node->addLast(99); var_dump($node->iscontain(2)); var_export($node); var_export($node->tostring());
分析下链表操作的时间复杂度:
增: O(n) 只对链表头操作:O(1) 删: O(n) 只对链表头操作:O(1) 改:O(n) 查:O(n) 只对链表头操作:O(1)
利用链表实现栈
addFirst($value);
}
public function pop(){
$r = $this->head->next->val;
$this->delete(0);
return $r;
}
}push(1); $stack->push(3); $stack->push(6); $stack->push(9); print_r($stack->pop()); print_r($stack->head);
链表实现队列
head->val==null ){
$this->tail = new Node( $value );
$this->head = $this->tail;
}else{
$this->tail->next = new Node( $value );
$this->tail = $this->tail->next;
}
$this->size++;
}
public function pop(){
if( $this->size<=0 )
throw new Exception('超过链表范围');
$val = $this->head->val;
$this->head = $this->head->next;
$this->size--;
return $val;
}
public function checkHead(){
return $this->head->val;
}
public function checkEnd(){
return $this->tail->val;
}
public function toString(){
$r = [];
while( $this->head ){
$r[] = $this->head->val;
$this->head = $this->head->next;
}
return implode('->',$r);
}
}测试
push(1); $stack->push(3); $stack->push(6); $stack->push(9); print_r($stack->pop()); print_r($stack->head); print_r($stack->checkHead()); print_r($stack->checkEnd()); print_r($stack->toString());
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