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??? ??? ???? ? ?? ???? ?? ? ? ???? : ?? ????? ??? ??. ?? ????? ?? V X V? 2D ?????. ??? v? ???? ?? ????. ?? I? J ??? ??????? ??, ? I? ? j? ???? ?? 1????. ??? ??? 0????. ??? ??? ?? ? ??? ?????. ??? ???? ??? ???? ??? ??? ? ??? ??? ????? ???? ?? ??? ?????.
Java??? ?? ?? ???? ?? ??? ???? ???? ??? ? ????. ?? ?? ? ?? ???? ? ?? ??? ??? ???? ?? ?? ?????.
?? ??? ? ??????
? ??? ?? PHP ???? PHP ??? | PHP ???? ??? ?? : ???

PHP ??? | PHP ???? ??? ?? : ???

Feb 23, 2025 am 08:49 AM

PHP ??? | PHP ???? ??? ?? : ??? ? ??? ??

???? ?/? ? ?? ??? ????? ? ???? ??? ???? ???? ???, ??? ??? ? ?? ???? ??? ?? ??? ?? ?? ????? ????. ???? ????? ???? ????? ??? ????? ??? ??? ???? ?? (??)? ???? (?)? ???? ????. ???? ? ?? ???? ?? ? ? ???? : ?? ?? ?? ??? ????. ??? ??? ?? ???? ?? ?? ???? ?? ?? ???? ?? ? ?? ????? ??? ??? ? ?? ??? ???????.

. ??? ??? ???? ??? ? ?? ???? ???? ? (?, ?? ?? ??)? ?? ????. ?? ??? ?? ???? ??? ??? ???? ????? ?? ???? ?? ? ??? ???? ?? ? ? ????. ? ????? ???? ?? ??? ???? ??????? Dijkstra? ????? ???? ? ?? ???? ?? ??? ?? ??? ??? ?? ? ?? ?????. ???? ?? ???? ???? ??? ?? ?? ? ??? ? ???? ???? ?? ??? ?? ? ??? ? ??? ?? ?? ???? ? ?? ??? ???? ?? ?????. ?? ?? ? ???? ?? ??? ??? ??????. ?? ?? ?? ? ???? ???? ????. ????? ???? ???, ??? ??? ? ?? ???? ??? ?? ?? ?? ?? ????? ????. Google? PageRank, Facebook? ??? ?? ? Amazon ? Netflix? ?? ??? ??? ?? ?? ????? ????. ? ????? ???? ???? ? ?? ???? ??, ? ? ?? ?? ?? ?? ??? ?? ?????. ???? ?/? ? ?? ??? ????? ? ???? ??? ?????. ???? (??) ??? ???? ???? (??) ??? ?????. ? ????? ????? ???? ?? ? ????. ?? ????? ??? ? ?? ??? ?????? ???? A → B? B → A? ???? ????. ????? ?????? ???? ??? ????. ?? A-B? B-A? ????. ??? ???? ?? ?? ?? ??? ? ??? ??? ??? ?? ??? ??? ?? ??? ??? ??? ???? ?? ???? ?? ? ? ????. ???? ???? ??? ?? ?? ? ?? ????. ?? ??? ?? ????? ??? ?? ?? ?? ? ???? ???? ????. ?? ???? ????? ?? ??? ??, ?? ??? ?? ?? ?? "??"??? ???? ? ????? ?????. Googlemap? ?? ??? ?? ???? ???? ????. ?? ?? ? ? ??? ??? ???? ??? ? ?? ???? ?? ?? ?? ?? ?? ????. ??? ?????, ???? ?? ?? ?? ? ??? ? ?? ?? ? ??? ?? ? ? ????. ?? ???? ?? ?? ??? ?????? ?? ?? ??? ?? ?????. ?? ???? ??????. ???? ?? ???? > ?? ?

?? ?? ? ???. ?, ?? ??? ????? ?????. ??? ??? ? ?? ???? ?? ?? ?? ?? ?? ????. ?? ?? ????, ??? ?? ?? (?? ??? ??? ??)?? ???? ??? ??? ?? ??? ?????. ?? ???? ???? ?? ?? ??? ????? ? ?? ?? ? ???? ?? ? ? ????? ???? ?????. ?? ????? ??? ????.

??? ?? ???? ??? ?? ???? ?? ?? ??? ?? ? ??? ??? ? ? ????? ?? ?? ??? ??? ??? ??? ? ??? ??? ?????. ???? ???? ? ?? ??? ????? ??? ?? ?? ??? ?????. ??? ???? ???? ?? ???? ??? ????.

PHP ??? | PHP ???? ??? ?? : ???????? ???? ???? ??? ????. ??? 1? 2 ?? ?? ??? ???? "??"? ?????.

PHP ??? | PHP ???? ??? ?? : ??? ??? ??? ?? ???? ?? ?? ???? ?? ?? ???? ?? ?? ????? ??? ??? ? ?? ??? ???????. ????? ?? ??? ?? ??? ??? ??? ????? ?? ????. ??? ??? ???? ???? ?????.

??? ?? ???? ? ?? ? ?? ?? ????? ??? ???? ?? ?????. 
1. Create a queue
2. Enqueue the root node and mark it as visited
3. While the queue is not empty do:
  3a. dequeue the current node
  3b. if the current node is the one we're looking for then stop
  3c. else enqueue each unvisited adjacent node and mark as visited
?? ??? ???? ??? ????. 
<span><span><?php
</span></span><span><span>$graph = array(
</span></span><span>  <span>'A' => array('B', 'F'),
</span></span><span>  <span>'B' => array('A', 'D', 'E'),
</span></span><span>  <span>'C' => array('F'),
</span></span><span>  <span>'D' => array('B', 'E'),
</span></span><span>  <span>'E' => array('B', 'D', 'F'),
</span></span><span>  <span>'F' => array('A', 'E', 'C'),
</span></span><span><span>);</span></span>
??? ? ?? ??? ?????, ????? ?? ?? ??????. ?? ?? ?? ?? 
<span><span><?php
</span></span><span><span>class Graph
</span></span><span><span>{
</span></span><span>  <span>protected $graph;
</span></span><span>  <span>protected $visited = array();
</span></span><span>
</span><span>  <span>public function __construct($graph) {
</span></span><span>    <span>$this->graph = $graph;
</span></span><span>  <span>}
</span></span><span>
</span><span>  <span>// find least number of hops (edges) between 2 nodes
</span></span><span>  <span>// (vertices)
</span></span><span>  <span>public function breadthFirstSearch($origin, $destination) {
</span></span><span>    <span>// mark all nodes as unvisited
</span></span><span>    <span>foreach ($this->graph as $vertex => $adj) {
</span></span><span>      <span>$this->visited[$vertex] = false;
</span></span><span>    <span>}
</span></span><span>
</span><span>    <span>// create an empty queue
</span></span><span>    <span>$q = new SplQueue();
</span></span><span>
</span><span>    <span>// enqueue the origin vertex and mark as visited
</span></span><span>    <span>$q->enqueue($origin);
</span></span><span>    <span>$this->visited[$origin] = true;
</span></span><span>
</span><span>    <span>// this is used to track the path back from each node
</span></span><span>    <span>$path = array();
</span></span><span>    <span>$path[$origin] = new SplDoublyLinkedList();
</span></span><span>    <span>$path[$origin]->setIteratorMode(
</span></span><span>      <span>SplDoublyLinkedList<span>::</span>IT_MODE_FIFO|SplDoublyLinkedList<span>::</span>IT_MODE_KEEP
</span></span><span>    <span>);
</span></span><span>
</span><span>    <span>$path[$origin]->push($origin);
</span></span><span>
</span><span>    <span>$found = false;
</span></span><span>    <span>// while queue is not empty and destination not found
</span></span><span>    <span>while (!$q->isEmpty() && $q->bottom() != $destination) {
</span></span><span>      <span>$t = $q->dequeue();
</span></span><span>
</span><span>      <span>if (!empty($this->graph[$t])) {
</span></span><span>        <span>// for each adjacent neighbor
</span></span><span>        <span>foreach ($this->graph[$t] as $vertex) {
</span></span><span>          <span>if (!$this->visited[$vertex]) {
</span></span><span>            <span>// if not yet visited, enqueue vertex and mark
</span></span><span>            <span>// as visited
</span></span><span>            <span>$q->enqueue($vertex);
</span></span><span>            <span>$this->visited[$vertex] = true;
</span></span><span>            <span>// add vertex to current path
</span></span><span>            <span>$path[$vertex] = clone $path[$t];
</span></span><span>            <span>$path[$vertex]->push($vertex);
</span></span><span>          <span>}
</span></span><span>        <span>}
</span></span><span>      <span>}
</span></span><span>    <span>}
</span></span><span>
</span><span>    <span>if (isset($path[$destination])) {
</span></span><span>      <span>echo "<span><span>$origin</span> to <span>$destination</span> in "</span>, 
</span></span><span>        <span>count($path[$destination]) - 1,
</span></span><span>        <span>" hopsn";
</span></span><span>      <span>$sep = '';
</span></span><span>      <span>foreach ($path[$destination] as $vertex) {
</span></span><span>        <span>echo $sep, $vertex;
</span></span><span>        <span>$sep = '->';
</span></span><span>      <span>}
</span></span><span>      <span>echo "n";
</span></span><span>    <span>}
</span></span><span>    <span>else {
</span></span><span>      <span>echo "No route from <span><span>$origin</span> to <span>$destinationn</span>"</span>;
</span></span><span>    <span>}
</span></span><span>  <span>}
</span></span><span><span>}</span></span>
? ?? ???? ??? ? ?? ???? ?? ??? ??? ?? ????. ?? ?? Googlemap? ?? ??? ??? ?? ????. ?? ?? ?????? ?? ?? ??, ?? ?? ?? ? ??/?? ??? ?????. ? ??? ?????? ?? ??? ???? ? ??? 1959 ?? Edsger W. Dijkstra?? ???? 29 ?? ??? ???? ??????. ????? Dijkstra? ???? ?? ???? ???? ??? ?? ?? ? ??? ? ???? ???? ?? ??? ????? ?? ? ??? ? ??? ?? ?? ???? ? ?? ??? ???? ?? ?????. ???? ???? ???? ?? ??? ??? ??? 1959 ? ?? ??? ?? Minheaps, Priorityqueues ? Fibonacci ?? ???? ?? ?? ??? Dijkstra? ?? ?????? ???????. ?? ??? ?? ? ??, ?? ??? Dijkstra? ???? ??? ????? ???????. ???? ?? ??? ? ???? ????? (???? ?? ? ? ??). ??? (??? ?) ??? ???? ????.

??? ??? ???? ??? ???? ?? ? ? ????. 
1. Create a queue
2. Enqueue the root node and mark it as visited
3. While the queue is not empty do:
  3a. dequeue the current node
  3b. if the current node is the one we're looking for then stop
  3c. else enqueue each unvisited adjacent node and mark as visited
??? PriorityQueue? ???? ?? "????? ??"??? ??? ???? ?????. 
<span><span><?php
</span></span><span><span>$graph = array(
</span></span><span>  <span>'A' => array('B', 'F'),
</span></span><span>  <span>'B' => array('A', 'D', 'E'),
</span></span><span>  <span>'C' => array('F'),
</span></span><span>  <span>'D' => array('B', 'E'),
</span></span><span>  <span>'E' => array('B', 'D', 'F'),
</span></span><span>  <span>'F' => array('A', 'E', 'C'),
</span></span><span><span>);</span></span>
?????, Dijkstra? ???? ??? ?? ? ??? ?????! ?? ??? ???? ?? ??? ????. 
<span><span><?php
</span></span><span><span>class Graph
</span></span><span><span>{
</span></span><span>  <span>protected $graph;
</span></span><span>  <span>protected $visited = array();
</span></span><span>
</span><span>  <span>public function __construct($graph) {
</span></span><span>    <span>$this->graph = $graph;
</span></span><span>  <span>}
</span></span><span>
</span><span>  <span>// find least number of hops (edges) between 2 nodes
</span></span><span>  <span>// (vertices)
</span></span><span>  <span>public function breadthFirstSearch($origin, $destination) {
</span></span><span>    <span>// mark all nodes as unvisited
</span></span><span>    <span>foreach ($this->graph as $vertex => $adj) {
</span></span><span>      <span>$this->visited[$vertex] = false;
</span></span><span>    <span>}
</span></span><span>
</span><span>    <span>// create an empty queue
</span></span><span>    <span>$q = new SplQueue();
</span></span><span>
</span><span>    <span>// enqueue the origin vertex and mark as visited
</span></span><span>    <span>$q->enqueue($origin);
</span></span><span>    <span>$this->visited[$origin] = true;
</span></span><span>
</span><span>    <span>// this is used to track the path back from each node
</span></span><span>    <span>$path = array();
</span></span><span>    <span>$path[$origin] = new SplDoublyLinkedList();
</span></span><span>    <span>$path[$origin]->setIteratorMode(
</span></span><span>      <span>SplDoublyLinkedList<span>::</span>IT_MODE_FIFO|SplDoublyLinkedList<span>::</span>IT_MODE_KEEP
</span></span><span>    <span>);
</span></span><span>
</span><span>    <span>$path[$origin]->push($origin);
</span></span><span>
</span><span>    <span>$found = false;
</span></span><span>    <span>// while queue is not empty and destination not found
</span></span><span>    <span>while (!$q->isEmpty() && $q->bottom() != $destination) {
</span></span><span>      <span>$t = $q->dequeue();
</span></span><span>
</span><span>      <span>if (!empty($this->graph[$t])) {
</span></span><span>        <span>// for each adjacent neighbor
</span></span><span>        <span>foreach ($this->graph[$t] as $vertex) {
</span></span><span>          <span>if (!$this->visited[$vertex]) {
</span></span><span>            <span>// if not yet visited, enqueue vertex and mark
</span></span><span>            <span>// as visited
</span></span><span>            <span>$q->enqueue($vertex);
</span></span><span>            <span>$this->visited[$vertex] = true;
</span></span><span>            <span>// add vertex to current path
</span></span><span>            <span>$path[$vertex] = clone $path[$t];
</span></span><span>            <span>$path[$vertex]->push($vertex);
</span></span><span>          <span>}
</span></span><span>        <span>}
</span></span><span>      <span>}
</span></span><span>    <span>}
</span></span><span>
</span><span>    <span>if (isset($path[$destination])) {
</span></span><span>      <span>echo "<span><span>$origin</span> to <span>$destination</span> in "</span>, 
</span></span><span>        <span>count($path[$destination]) - 1,
</span></span><span>        <span>" hopsn";
</span></span><span>      <span>$sep = '';
</span></span><span>      <span>foreach ($path[$destination] as $vertex) {
</span></span><span>        <span>echo $sep, $vertex;
</span></span><span>        <span>$sep = '->';
</span></span><span>      <span>}
</span></span><span>      <span>echo "n";
</span></span><span>    <span>}
</span></span><span>    <span>else {
</span></span><span>      <span>echo "No route from <span><span>$origin</span> to <span>$destinationn</span>"</span>;
</span></span><span>    <span>}
</span></span><span>  <span>}
</span></span><span><span>}</span></span>

?? ? ???? ?? ??? ??? ??, ???? ???? ? ?? ?? ? ??? ??? ????? ? ?? ???? ??? ??????. ? ?? ???? ?? ?? ?? ?? ?? ? ??? ??? ??? ???? ??? Dijkstra? ???? ? ?? ???? ?? ?? ??? ?? ? ??? ????? ???????. Fotolia? ?? ??? ??? ??? ???? ?? ?? ?? ?? (FAQ) ??? ???? ???? ??? ???? ??????

???? ??? ?? ??? ??? ????? ? ?? ?? ???? ????. ??? ??? ????? ?? ???? ??? ????. ??? ?????? ??? ??????. ?? ?? ? ?? ????? ?? ??? ????. ??? ? ??? ???? ?? ? ??? ??? ????. ??? ???? ???? ?? ? ?? ? ??? ? ?????. ?? ?? ??? ???? ?? ??? ?? ????? ? ????. ??? ??? ???? ??? ??????

??? ??? ???? ? ?? ???? ?? ? ? ???? : ?? ????? ??? ??. ?? ????? ?? V X V? 2D ?????. ??? v? ???? ?? ????. ?? I? J ??? ??????? ??, ? I? ? j? ???? ?? 1????. ??? ??? 0????. ??? ??? ?? ? ??? ?????. ??? ???? ??? ???? ??? ??? ? ??? ??? ????? ???? ?? ??? ?????.

??? ??? ??? ??? ?????? ??? ??? ?? ??? ??????. ??? ???? ????? ? ?? ?? ??? ?? ??? ??????? ??????. ?? ???? ?? ??? ?? ?? ????? ?? ? ????. ??? ???? ?? ?? ?? ????? ???? ??? ??????. ?? ???? ? ???? ???? ?????. ?? ? ??? (?? digraph)?? ????? ????? ????. ????? ? ???? ?? ???? ?? ??? ??? ???? ???? ??? ??????

???? ??? ??? ??? ?? ???? ?????. ??? ?? ?????? ??? ??? ??? ???? ? ?????. ? ???? ???? ? ???? ???? ?? ??? ?????. ???? ??? ????? ???? ? ?? ??? ??? ??? ????. ????? ???? ????? ????? ???? ? ?????. ??? ??? ? ?? ??????? ?????.

??? ???? ????? ??????

? ?? ?? ??? ???? ???? : ?? ?? ?? (DFS)? ?? ? ??? ????. (BFS). DFS? ? ?? ?? ? ??? ?? ??? ? ?? ?????. ?? ??? ??? ?????. BFS? ?? ??? ?? ?? ?? ??? ?? ??? ?????. ? ??? ??? ?????.

java?? ???? ???? ???

Java??? ?? ?? ???? ?? ??? ???? ???? ??? ? ????. ?? ?? ? ?? ???? ? ?? ??? ??? ???? ?? ?? ?????.

?? ??? ? ??????

?? ???? ??? ? ??? ??????. ?? ??? ? ??? ??? ?? ??? ??? ????? ? ?? ?? ? ??? ????. Edge? ??? ?? ??? ??? ?????.

?? ??? ? ??????

?? ???? ?? ???? ??? ??????. ??? ?? ???? ?? (?? ??) ?? ???? ?? (?? ??) ????? ??? ????.

???? ???? ??????

???? ???? ??? ????. ??? ???? ???? ??? ?? ?? ??? ??. ???? ??? ?????? ???? ??? ? ?? ? ?? ?? ??????. ~? ?? ??? ????? ?????

? ??? PHP ??? | PHP ???? ??? ?? : ???? ?? ?????. ??? ??? PHP ??? ????? ?? ?? ??? ?????!

? ????? ??
? ?? ??? ????? ???? ??? ??????, ???? ?????? ????. ? ???? ?? ???? ?? ??? ?? ????. ???? ??? ???? ???? ??? ?? admin@php.cn?? ?????.

? AI ??

Undresser.AI Undress

Undresser.AI Undress

???? ?? ??? ??? ?? AI ?? ?

AI Clothes Remover

AI Clothes Remover

???? ?? ???? ??? AI ?????.

Video Face Swap

Video Face Swap

??? ??? AI ?? ?? ??? ???? ?? ???? ??? ?? ????!

???

??? ??

???++7.3.1

???++7.3.1

???? ?? ?? ?? ???

SublimeText3 ??? ??

SublimeText3 ??? ??

??? ??, ???? ?? ????.

???? 13.0.1 ???

???? 13.0.1 ???

??? PHP ?? ?? ??

???? CS6

???? CS6

??? ? ?? ??

SublimeText3 Mac ??

SublimeText3 Mac ??

? ??? ?? ?? ?????(SublimeText3)

???

??? ??

?? ????
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