• PHP 定义栈结构,实现min函数,获取栈最小元素,要求时间复杂度为O(1)


     1 <?php
     2     #设计一个栈的数据结构,要求增加一个min函数,可以取出栈的最小元素
     3     #要求push,pop,min的时间复杂度都是O(1)
     4     #解题思路:在每个栈元素增加一个min变量,这个变量存储次元素及其之前所有元素的最小值
     5 
     6     #栈节点
     7     class Node {
     8         public $data = null;
     9         public $min = null;
    10     }
    11 
    12     class Min_Stack {
    13         private $data = array();
    14         private $top;
    15 
    16         public function __construct(Array $a) {
    17             $this->top = 0;
    18             foreach($a as $val) {
    19                 $this->push($val);
    20             }
    21         }
    22 
    23         public function push($i) {
    24             $node = new Node();
    25             $node->data = $i;
    26 
    27             #此处设置每个节点的min值,设置方法为若栈为空,当前元素data则为当前节点的min
    28             #若栈非空,则当前元素data与前一个节点的min值比较,取其小者作为当前节点的min
    29             if ($this->top == 0) {
    30                 $min = $node->data;
    31             } else {
    32                 $min = $this->data[$this->top - 1]->min < $node->data ? $this->data[$this->top - 1]->min : $node->data;
    33             }
    34 
    35             $node->min = $min;
    36             $this->data[] = $node;
    37             $this->top++;
    38             return $node;
    39         }
    40 
    41         public function pop() {
    42             $r = $this->data[--$this->top];
    43             unset($this->data[$this->top]);
    44             return $r;
    45         }
    46 
    47         public function get_min() {
    48             return $this->data[$this->top - 1]->min;
    49         }
    50     }
    51 
    52     $a = array(5, 7, 3, 8, 9, 1, 2);
    53     $min_stack = new Min_Stack($a);
    54     echo "Min : {$min_stack->get_min()} <br>";
    55     print_r($min_stack);
    56     echo "<br> Pop : {$min_stack->pop()->data}<br>";
    57     print_r($min_stack); 
    58 ?>

    Min : 1 
    Min_Stack Object ( [data:Min_Stack:private] => Array ( [0] => Node Object ( [data] => 5 [min] => 5 ) [1] => Node Object ( [data] => 7 [min] => 5 ) [2] => Node Object ( [data] => 3 [min] => 3 ) [3] => Node Object ( [data] => 8 [min] => 3 ) [4] => Node Object ( [data] => 9 [min] => 3 ) [5] => Node Object ( [data] => 1 [min] => 1 ) [6] => Node Object ( [data] => 2 [min] => 1 ) ) [top:Min_Stack:private] => 7 ) 
    Pop : 2
    Pop : 1
    Min : 3 
    Min_Stack Object ( [data:Min_Stack:private] => Array ( [0] => Node Object ( [data] => 5 [min] => 5 ) [1] => Node Object ( [data] => 7 [min] => 5 ) [2] => Node Object ( [data] => 3 [min] => 3 ) [3] => Node Object ( [data] => 8 [min] => 3 ) [4] => Node Object ( [data] => 9 [min] => 3 ) ) [top:Min_Stack:private] => 5 )

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  • 原文地址:https://www.cnblogs.com/zemliu/p/2705304.html
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