package and depencies
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@@ -2,7 +2,7 @@
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namespace PhpOffice\PhpSpreadsheet\Shared\Trend;
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class BestFit
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abstract class BestFit
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{
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/**
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* Indicator flag for a calculation error.
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@@ -96,24 +96,18 @@ class BestFit
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*
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* @param float $xValue X-Value
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*
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* @return bool Y-Value
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* @return float Y-Value
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*/
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public function getValueOfYForX($xValue)
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{
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return false;
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}
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abstract public function getValueOfYForX($xValue);
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/**
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* Return the X-Value for a specified value of Y.
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*
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* @param float $yValue Y-Value
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*
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* @return bool X-Value
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* @return float X-Value
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*/
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public function getValueOfXForY($yValue)
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{
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return false;
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}
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abstract public function getValueOfXForY($yValue);
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/**
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* Return the original set of X-Values.
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@@ -130,12 +124,9 @@ class BestFit
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*
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* @param int $dp Number of places of decimal precision to display
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*
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* @return bool
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* @return string
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*/
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public function getEquation($dp = 0)
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{
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return false;
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}
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abstract public function getEquation($dp = 0);
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/**
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* Return the Slope of the line.
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@@ -341,20 +332,32 @@ class BestFit
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return $this->yBestFitValues;
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}
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/** @var mixed */
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private static $scrutinizerZeroPointZero = 0.0;
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/**
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* @param mixed $x
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* @param mixed $y
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*/
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private static function scrutinizerLooseCompare($x, $y): bool
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{
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return $x == $y;
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}
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protected function calculateGoodnessOfFit($sumX, $sumY, $sumX2, $sumY2, $sumXY, $meanX, $meanY, $const): void
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{
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$SSres = $SScov = $SScor = $SStot = $SSsex = 0.0;
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$SSres = $SScov = $SStot = $SSsex = 0.0;
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foreach ($this->xValues as $xKey => $xValue) {
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$bestFitY = $this->yBestFitValues[$xKey] = $this->getValueOfYForX($xValue);
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$SSres += ($this->yValues[$xKey] - $bestFitY) * ($this->yValues[$xKey] - $bestFitY);
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if ($const) {
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if ($const === true) {
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$SStot += ($this->yValues[$xKey] - $meanY) * ($this->yValues[$xKey] - $meanY);
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} else {
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$SStot += $this->yValues[$xKey] * $this->yValues[$xKey];
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}
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$SScov += ($this->xValues[$xKey] - $meanX) * ($this->yValues[$xKey] - $meanY);
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if ($const) {
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if ($const === true) {
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$SSsex += ($this->xValues[$xKey] - $meanX) * ($this->xValues[$xKey] - $meanX);
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} else {
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$SSsex += $this->xValues[$xKey] * $this->xValues[$xKey];
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@@ -362,14 +365,15 @@ class BestFit
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}
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$this->SSResiduals = $SSres;
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$this->DFResiduals = $this->valueCount - 1 - $const;
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$this->DFResiduals = $this->valueCount - 1 - ($const === true ? 1 : 0);
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if ($this->DFResiduals == 0.0) {
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$this->stdevOfResiduals = 0.0;
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} else {
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$this->stdevOfResiduals = sqrt($SSres / $this->DFResiduals);
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}
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if (($SStot == 0.0) || ($SSres == $SStot)) {
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// Scrutinizer thinks $SSres == $SStot is always true. It is wrong.
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if ($SStot == self::$scrutinizerZeroPointZero || self::scrutinizerLooseCompare($SSres, $SStot)) {
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$this->goodnessOfFit = 1;
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} else {
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$this->goodnessOfFit = 1 - ($SSres / $SStot);
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@@ -395,27 +399,39 @@ class BestFit
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}
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}
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private function sumSquares(array $values)
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{
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return array_sum(
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array_map(
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function ($value) {
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return $value ** 2;
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},
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$values
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)
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);
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}
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/**
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* @param float[] $yValues
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* @param float[] $xValues
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* @param bool $const
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*/
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protected function leastSquareFit(array $yValues, array $xValues, $const): void
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protected function leastSquareFit(array $yValues, array $xValues, bool $const): void
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{
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// calculate sums
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$x_sum = array_sum($xValues);
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$y_sum = array_sum($yValues);
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$meanX = $x_sum / $this->valueCount;
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$meanY = $y_sum / $this->valueCount;
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$mBase = $mDivisor = $xx_sum = $xy_sum = $yy_sum = 0.0;
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$sumValuesX = array_sum($xValues);
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$sumValuesY = array_sum($yValues);
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$meanValueX = $sumValuesX / $this->valueCount;
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$meanValueY = $sumValuesY / $this->valueCount;
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$sumSquaresX = $this->sumSquares($xValues);
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$sumSquaresY = $this->sumSquares($yValues);
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$mBase = $mDivisor = 0.0;
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$xy_sum = 0.0;
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for ($i = 0; $i < $this->valueCount; ++$i) {
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$xy_sum += $xValues[$i] * $yValues[$i];
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$xx_sum += $xValues[$i] * $xValues[$i];
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$yy_sum += $yValues[$i] * $yValues[$i];
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if ($const) {
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$mBase += ($xValues[$i] - $meanX) * ($yValues[$i] - $meanY);
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$mDivisor += ($xValues[$i] - $meanX) * ($xValues[$i] - $meanX);
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if ($const === true) {
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$mBase += ($xValues[$i] - $meanValueX) * ($yValues[$i] - $meanValueY);
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$mDivisor += ($xValues[$i] - $meanValueX) * ($xValues[$i] - $meanValueX);
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} else {
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$mBase += $xValues[$i] * $yValues[$i];
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$mDivisor += $xValues[$i] * $xValues[$i];
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@@ -426,13 +442,9 @@ class BestFit
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$this->slope = $mBase / $mDivisor;
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// calculate intersect
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if ($const) {
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$this->intersect = $meanY - ($this->slope * $meanX);
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} else {
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$this->intersect = 0;
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}
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$this->intersect = ($const === true) ? $meanValueY - ($this->slope * $meanValueX) : 0.0;
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$this->calculateGoodnessOfFit($x_sum, $y_sum, $xx_sum, $yy_sum, $xy_sum, $meanX, $meanY, $const);
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$this->calculateGoodnessOfFit($sumValuesX, $sumValuesY, $sumSquaresX, $sumSquaresY, $xy_sum, $meanValueX, $meanValueY, $const);
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}
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/**
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@@ -440,23 +452,22 @@ class BestFit
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*
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* @param float[] $yValues The set of Y-values for this regression
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* @param float[] $xValues The set of X-values for this regression
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* @param bool $const
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*/
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public function __construct($yValues, $xValues = [], $const = true)
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public function __construct($yValues, $xValues = [])
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{
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// Calculate number of points
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$nY = count($yValues);
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$nX = count($xValues);
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$yValueCount = count($yValues);
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$xValueCount = count($xValues);
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// Define X Values if necessary
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if ($nX == 0) {
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$xValues = range(1, $nY);
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} elseif ($nY != $nX) {
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if ($xValueCount === 0) {
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$xValues = range(1, $yValueCount);
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} elseif ($yValueCount !== $xValueCount) {
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// Ensure both arrays of points are the same size
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$this->error = true;
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}
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$this->valueCount = $nY;
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$this->valueCount = $yValueCount;
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$this->xValues = $xValues;
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$this->yValues = $yValues;
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}
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