public static function getSequences(BinaryTreeNode $node)
{
$prefix = [$node->getData()];
$left = $node->getLeft();
$right = $node->getRight();
if ($left === null && $right === null) {
return [$prefix];
}
$leftSequences = $left !== null ? self::getSequences($left) : null;
$rightSequences = $right !== null ? self::getSequences($right) : null;
$sequences = [];
if ($leftSequences === null) {
foreach ($rightSequences as $rightSequence) {
$sequences[] = array_merge($prefix, $rightSequence);
}
return $sequences;
}
if ($rightSequences === null) {
foreach ($leftSequences as $leftSequence) {
$sequences[] = array_merge($prefix, $leftSequence);
}
return $sequences;
}
// combine $leftSequences and $rightSequences in every possible way
foreach ($leftSequences as $leftSequence) {
foreach ($rightSequences as $rightSequence) {
$mergedSequence = array_merge($leftSequence, $rightSequence);
$orderings = self::getAllOrderings($mergedSequence);
foreach ($orderings as $ordering) {
$sequences[] = array_merge($prefix, $ordering);
}
}
}
return $sequences;
}
public static function areTreesEqual(BinaryTreeNode $tree1, BinaryTreeNode $tree2)
{
if ($tree1->getData() !== $tree2->getData()) {
return false;
}
$queue1 = [$tree1];
$queue2 = [$tree2];
while (!empty($queue1)) {
$node1 = array_shift($queue1);
$node2 = array_shift($queue2);
$pairs = [[$node1->getLeft(), $node2->getLeft()], [$node1->getRight(), $node2->getRight()]];
foreach ($pairs as $pair) {
if ($pair[0] === null) {
if ($pair[1] !== null) {
return false;
}
} elseif ($pair[1] === null) {
return false;
} elseif ($pair[0]->getData() !== $pair[1]->getData()) {
return false;
} else {
array_push($queue1, $pair[0]);
array_push($queue2, $pair[1]);
}
}
}
return true;
}
public static function isBinarySearchTree(BinaryTreeNode $node, $min = null, $max = null)
{
$left = $node->getLeft();
$right = $node->getRight();
$nodeValue = $node->getData();
if ($left !== null) {
$leftValue = $left->getData();
if ($nodeValue < $leftValue) {
return false;
}
if ($min !== null && $min > $leftValue) {
return false;
}
if (!self::isBinarySearchTree($left, $min, $nodeValue)) {
return false;
}
}
if ($right !== null) {
$rightValue = $right->getData();
if ($nodeValue > $rightValue) {
return false;
}
if ($max !== null && $max < $rightValue) {
return false;
}
if (!self::isBinarySearchTree($right, $nodeValue, $max)) {
return false;
}
}
return true;
}
public function testBinaryTreeNode()
{
$node1 = new BinaryTreeNode('Dizzy');
$this->assertEquals('Dizzy', $node1->getData());
$this->assertEquals('Dizzy', (string) $node1);
$node1->setData('Miles');
$this->assertEquals('Miles', $node1->getData());
$this->assertEquals('Miles', (string) $node1);
$this->assertNull($node1->getLeft());
$this->assertNull($node1->getRight());
$node2 = new BinaryTreeNode('Cannonball');
$node3 = new BinaryTreeNode('Coltrane');
$node1->setLeft($node2);
$node1->setRight($node3);
$this->assertSame($node2, $node1->getLeft());
$this->assertSame($node3, $node1->getRight());
}
public static function countPathsWithSum(BinaryTreeNode $node, $targetSum, array $breadCrumb = [])
{
$newBreadCrumb = array_merge($breadCrumb, [$node->getData()]);
$resultCount = self::getPathSumCount($newBreadCrumb, $targetSum);
$left = $node->getLeft();
if ($left !== null) {
$resultCount += self::countPathsWithSum($left, $targetSum, $newBreadCrumb);
}
$right = $node->getRight();
if ($right !== null) {
$resultCount += self::countPathsWithSum($right, $targetSum, $newBreadCrumb);
}
return $resultCount;
}
public static function countPathsWithSum(BinaryTreeNode $node = null, $targetSum, $runningSum = 0, array &$pathCountMap = [])
{
if ($node === null) {
return 0;
}
$runningSum += $node->getData();
$sum = $runningSum - $targetSum;
$totalPaths = array_key_exists($sum, $pathCountMap) ? $pathCountMap[$sum] : 0;
if ($runningSum === $targetSum) {
$totalPaths++;
}
$pathCountMap[$runningSum] = (array_key_exists($runningSum, $pathCountMap) ? $pathCountMap[$runningSum] : 0) + 1;
$totalPaths += self::countPathsWithSum($node->getLeft(), $targetSum, $runningSum, $pathCountMap);
$totalPaths += self::countPathsWithSum($node->getRight(), $targetSum, $runningSum, $pathCountMap);
$pathCountMap[$runningSum] -= 1;
return $totalPaths;
}
