Created
March 11, 2023 13:13
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Dijkstra's Algorithm in PHP
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<?php | |
function dijkstra($graph, $start, $end) { | |
// Set the distance from the start node to all other nodes to infinity | |
$distances = array_fill(0, count($graph), INF); | |
// Set the distance from the start node to itself to 0 | |
$distances[$start] = 0; | |
// Set all nodes as unvisited | |
$visited = array_fill(0, count($graph), false); | |
// Set the previous node for each node to null | |
$previous = array_fill(0, count($graph), null); | |
// Loop through all the nodes | |
while (array_search(false, $visited, true) !== false) { | |
// Find the node with the shortest distance from the start node that hasn't been visited | |
$current = null; | |
$shortest_distance = INF; | |
for ($i = 0; $i < count($graph); $i++) { | |
if (!$visited[$i] && $distances[$i] < $shortest_distance) { | |
$current = $i; | |
$shortest_distance = $distances[$i]; | |
} | |
} | |
// Mark the current node as visited | |
$visited[$current] = true; | |
// Check all the neighboring nodes of the current node | |
foreach ($graph[$current] as $neighbor => $weight) { | |
// Calculate the distance to the neighbor through the current node | |
$distance = $distances[$current] + $weight; | |
// If the distance is shorter than the current distance to the neighbor, update the distance | |
if ($distance < $distances[$neighbor]) { | |
$distances[$neighbor] = $distance; | |
$previous[$neighbor] = $current; | |
} | |
} | |
} | |
// Backtrack from the end node to the start node to find the shortest path | |
$path = array(); | |
$current = $end; | |
while ($current !== null) { | |
array_unshift($path, $current); | |
$current = $previous[$current]; | |
} | |
// Return the shortest distance and the shortest path | |
return array($distances[$end], $path); | |
} | |
// Define the graph | |
$graph = array( | |
0 => array(1 => 4, 7 => 8), | |
1 => array(0 => 4, 7 => 11, 2 => 8), | |
2 => array(1 => 8, 3 => 7, 5 => 4, 8 => 2), | |
3 => array(2 => 7, 4 => 9, 5 => 14), | |
4 => array(3 => 9, 5 => 10), | |
5 => array(2 => 4, 3 => 14, 4 => 10, 6 => 2), | |
6 => array(5 => 2, 7 => 1, 8 => 6), | |
7 => array(0 => 8, 1 => 11, 6 => 1, 8 => 7), | |
8 => array(2 => 2, 6 => 6, 7 => 7), | |
); | |
// Call the dijkstra function with the graph, starting node, and ending node | |
list($distance, $path) = dijkstra($graph, 0, 4); | |
// Print the shortest distance and the shortest path | |
echo "Shortest distance: " . $distance . "\n"; | |
echo "Shortest path: " . implode(" -> ", $path) . "\n"; |
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