static boolean prefixMatches(Tree target, Tree pattern) {
if (pattern.isEmpty()) return true;
if (target.isEmpty() || target.value() != pattern.value()) return false;
return prefixMatches(target.left(), pattern.left())
&& prefixMatches(target.right(), pattern.right());
}
/** Unit tests */
public static void main(String[] args) {
final Tree targetTree =
tree(
1,
tree(
2,
tree(3, tree(4), tree(3, tree(4), tree(5))),
tree(5, tree(6, tree(7), tree(8, tree(9), tree())), tree(10, tree(11), tree()))),
tree(12));
System.out.println(" Test Pattern");
checkPattern(targetTree, tree(), Optional.of(targetTree));
checkPattern(targetTree, tree(9), Optional.of(tree(9)));
checkPattern(targetTree, tree(12), Optional.of(tree(12)));
checkPattern(targetTree, tree(13), Optional.empty());
checkPattern(targetTree, tree(1), Optional.of(targetTree));
checkPattern(targetTree, tree(2, tree(3), tree(5)), Optional.of(targetTree.left()));
checkPattern(
targetTree, tree(3, tree(4), tree(5)), Optional.of(targetTree.left().left().right()));
checkPattern(
targetTree, tree(6, tree(), tree(8)), Optional.of(targetTree.left().right().left()));
checkPattern(targetTree, tree(6, tree(), tree(7)), Optional.empty());
checkPattern(
targetTree,
tree(5, tree(6, tree(7), tree(8, tree(9), tree())), tree(10, tree(11), tree())),
Optional.of(targetTree.left().right()));
}
/*
* Trim BST - Given min and max trim the tree so that all nodes has values between min and max
*/
public Tree trimTree(Tree node, int min, int max) {
if (node == null) return null;
node.left = trimTree(node.left, min, max);
node.right = trimTree(node.right, min, max);
if (node.value < min) return node.right;
else if (node.value > max) return node.left;
else return node;
}
/**
* Search the tree for the first instance of `pattern`, giving preference to the left child.
*
* <p>`pattern` is a tree, representing a pattern of nodes. `NilNode`s should be considered
* wildcards.
*
* <p>Example patterns ---------------- `Tree()` Matches any tree.
*
* <p>`Tree(3)` Matches any tree where the root node has a value of `3`.
*
* <p>`Tree(3, Tree(2), Tree())` Matches any tree where the root node has a value of `3`, and a
* left sub-tree with a root value of `2`, and any (or no) right sub-tree.
*/
static Optional<Tree> find(Tree target, Tree pattern) {
if (pattern.isEmpty()) return Optional.of(target);
if (target.isEmpty()) return Optional.empty();
if (prefixMatches(target, pattern)) return Optional.of(target);
Optional<Tree> leftMatch = find(target.left(), pattern);
if (leftMatch.isPresent()) return leftMatch;
return find(target.right(), pattern);
}
public Tree add(Tree node, int value) {
if (node == null) {
node = new Tree(value);
return node;
} else {
if (value < node.value) node.left = add(node.left, value);
else node.right = add(node.right, value);
}
return node;
}