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<?php |
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/** |
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* PHPCoord. |
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* |
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* @author Doug Wright |
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*/ |
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declare(strict_types=1); |
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namespace PHPCoord\Geometry; |
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use function array_push; |
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use function class_exists; |
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use function count; |
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use function implode; |
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use PHPCoord\CoordinateOperation\GeographicValue; |
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use PHPCoord\UnitOfMeasure\Angle\Angle; |
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use PHPCoord\UnitOfMeasure\Angle\Degree; |
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class BoundingArea |
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{ |
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/** |
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* Vertices in GeoJSON-type format (an array of polygons, which is an array of rings which is an array of long,lat points). |
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* @var array<array<array<array<float, float>>> |
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*/ |
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protected array $vertices; |
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protected bool $longitudeExtendsFurtherThanMinus180 = false; |
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protected bool $longitudeExtendsFurtherThanPlus180 = false; |
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private static array $cachedObjects = []; |
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private const BUFFER_THRESHOLD = 200; // rough guess at where map maker got bored adding vertices for complex shapes |
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private const BUFFER_SIZE = 0.1; // approx 10km |
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protected function __construct(array $vertices) |
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{ |
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$this->vertices = $vertices; |
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foreach ($this->vertices as $polygon) { |
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foreach ($polygon as $ring) { |
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foreach ($ring as $vertex) { |
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if ($vertex[0] > 180) { |
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$this->longitudeExtendsFurtherThanPlus180 = true; |
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} |
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if ($vertex[0] < -180) { |
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$this->longitudeExtendsFurtherThanMinus180 = true; |
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} |
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} |
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} |
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} |
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} |
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/** |
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* @param array<array<array<array<float, float>>> $vertices [[[long,lat], [long,lat]...]] |
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*/ |
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public static function createFromArray(array $vertices): self |
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{ |
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return new static($vertices); |
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} |
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public static function createWorld(): self |
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{ |
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return new static([[[[-180, -90], [-180, 90], [180, 90], [180, -90], [-180, -90]]]]); |
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} |
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/** |
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* @internal |
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*/ |
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public static function createFromExtentCodes(array $extentCodes): self |
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{ |
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$cacheKey = implode('|', $extentCodes); |
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if (!isset(self::$cachedObjects[$cacheKey])) { |
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$extents = []; |
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foreach ($extentCodes as $extentCode) { |
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$fullExtent = "PHPCoord\\Geometry\\Extents\\Extent{$extentCode}"; |
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$basicExtent = "PHPCoord\\Geometry\\Extents\\BoundingBoxOnly\\Extent{$extentCode}"; |
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$extentClass = class_exists($fullExtent) ? new $fullExtent() : new $basicExtent(); |
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array_push($extents, ...$extentClass()); |
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} |
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$extentData = self::createFromArray($extents); |
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$extentData->addBuffer(); |
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self::$cachedObjects[$cacheKey] = $extentData; |
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} |
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return self::$cachedObjects[$cacheKey]; |
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} |
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public function containsPoint(GeographicValue $point): bool |
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{ |
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$latitude = $point->getLongitude()->asDegrees()->getValue(); |
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$longitude = $point->getLatitude()->asDegrees()->getValue(); |
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$pointsToCheck = [ |
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[ |
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$latitude, |
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$longitude, |
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], |
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]; |
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if ($this->longitudeExtendsFurtherThanMinus180) { |
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$pointsToCheck[] = [ |
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$latitude - 360, |
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$longitude, |
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]; |
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} |
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if ($this->longitudeExtendsFurtherThanPlus180) { |
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$pointsToCheck[] = [ |
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$latitude + 360, |
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$longitude, |
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]; |
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} |
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/* |
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* @see https://observablehq.com/@tmcw/understanding-point-in-polygon |
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*/ |
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foreach ($pointsToCheck as $pointToCheck) { |
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[$x, $y] = $pointToCheck; |
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foreach ($this->vertices as $polygon) { |
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$vertices = array_merge(...$polygon); |
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$n = count($vertices); |
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$inside = false; |
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for ($i = 0, $j = $n - 1; $i < $n; $j = $i++) { |
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$xi = $vertices[$i][0]; |
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$yi = $vertices[$i][1]; |
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$xj = $vertices[$j][0]; |
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$yj = $vertices[$j][1]; |
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$intersect = (($yi > $y) !== ($yj > $y)) // horizontal ray from $y, intersects if vertices are on opposite sides of it |
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&& ($x < ($xj - $xi) * ($y - $yi) / ($yj - $yi) + $xi); |
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if ($intersect) { |
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$inside = !$inside; |
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} |
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} |
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if ($inside) { |
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return true; |
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} |
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} |
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} |
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return false; |
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} |
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/** |
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* @internal used for testing |
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* @return array<Angle,Angle> |
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*/ |
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public function getPointInside(): array |
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{ |
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return $this->getCentre(0); // any polygon will do, use the first |
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} |
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/** |
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* @internal used for testing |
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* @return array<Angle,Angle> |
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*/ |
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protected function getCentre(int $polygonId): array |
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{ |
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// Calculates the "centre" (centroid) of a polygon. |
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$vertices = $this->vertices[$polygonId][0]; // only consider outer ring |
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$n = count($vertices); |
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$area = 0; |
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for ($i = 0; $i < ($n - 1); ++$i) { |
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$area += $vertices[$i][0] * $vertices[$i + 1][1]; |
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} |
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$area += $vertices[$n - 1][0] * $vertices[0][1]; |
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for ($i = 0; $i < ($n - 1); ++$i) { |
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$area -= $vertices[$i + 1][0] * $vertices[$i][1]; |
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} |
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$area -= $vertices[0][0] * $vertices[$n - 1][1]; |
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$area /= 2; |
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$latitude = 0; |
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$longitude = 0; |
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for ($i = 0; $i < ($n - 1); ++$i) { |
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$latitude += ($vertices[$i][1] + $vertices[$i + 1][1]) * ($vertices[$i][0] * $vertices[$i + 1][1] - $vertices[$i + 1][0] * $vertices[$i][1]); |
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$longitude += ($vertices[$i][0] + $vertices[$i + 1][0]) * ($vertices[$i][0] * $vertices[$i + 1][1] - $vertices[$i + 1][0] * $vertices[$i][1]); |
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} |
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$latitude = new Degree($latitude / 6 / $area); |
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$longitude = new Degree($longitude / 6 / $area); |
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return [$latitude, $longitude]; |
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} |
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/** |
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* @internal |
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*/ |
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private function addBuffer(): void |
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{ |
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foreach ($this->vertices as $polygonId => $polygon) { |
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$centre = $this->getCentre($polygonId); |
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$centreX = $centre[1]->asDegrees()->getValue(); |
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$centreY = $centre[0]->asDegrees()->getValue(); |
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foreach ($polygon as $ringId => $ring) { |
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if ($ringId === 0 && count($ring) > self::BUFFER_THRESHOLD) { |
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foreach ($ring as $vertexId => $vertex) { |
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if ($vertex[0] > $centreX) { |
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$this->vertices[$polygonId][$ringId][$vertexId][0] += self::BUFFER_SIZE; |
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} elseif ($vertex[0] < $centreX) { |
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$this->vertices[$polygonId][$ringId][$vertexId][0] -= self::BUFFER_SIZE; |
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} |
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if ($vertex[1] > $centreY) { |
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$this->vertices[$polygonId][$ringId][$vertexId][1] += self::BUFFER_SIZE; |
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} elseif ($vertex[1] < $centreY) { |
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$this->vertices[$polygonId][$ringId][$vertexId][1] -= self::BUFFER_SIZE; |
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} |
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} |
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} |
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} |
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} |
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} |
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} |
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