Add some solutions

1 files changed, 140 insertions, 0 deletions

diff --git a/Seminar09/solutions.cpp b/Seminar09/solutions.cpp
new file mode 100644
index 0000000..94958e5
--- /dev/null
+++ b/Seminar09/solutions.cpp
@@ -0,0 +1,140 @@
+#include"../Seminar08/tree-utils.h"
+#include<optional>
+#include<vector>
+#include<assert.h>
+#include<algorithm>
+
+template<class T>
+std::optional<T> getMax(const Tree<T>* t) {
+	if (t == nullptr)
+		return {}; // Няма стойност
+
+	T res = t->data;
+
+	std::optional<T> left = getMax(t->left);
+	std::optional<T> right = getMax(t->right);
+
+	if (left.has_value())
+		res = std::max(res, left.value());
+
+	if (right.has_value())
+		res = std::max(res, right.value());
+
+	return res;
+}
+
+bool isBSTRec(const Tree<int>* t, int min, int max) {
+	if (t == nullptr)
+		return true;
+
+	if (t->data < min || t->data > max)
+		return false;
+
+	return isBSTRec(t->left, min, t->data) && isBSTRec(t->right, t->data, max);
+}
+
+bool isBST(const Tree<int>* t) {
+	return isBSTRec(t, INT_MIN, INT_MAX);
+}
+
+template<class T>
+Tree<T>* buildFromRec(const std::vector<T>& v, int start, int end) {
+	if (end < start)
+		return nullptr;
+
+	int mid = (end - start) / 2 + start;
+
+	return new Tree<T>(v[mid], buildFromRec(v, start, mid - 1), buildFromRec(v, mid + 1, end));
+}
+
+template<class T>
+Tree<T>* buildFrom(const std::vector<T>& v) {
+	return buildFromRec(v, 0, v.size() - 1);
+}
+
+template<class T>
+bool isSameTree(const Tree<T>* fst, const Tree<T>* snd) {
+	if (!fst && !snd)
+		return true;
+
+	if ((fst && !snd) || (!fst && snd) || fst->data != snd->data)
+		return false;
+
+	return isSameTree(fst->left, snd->left) && isSameTree(fst->right, snd->right);
+}
+
+template<class T>
+Tree<T>* clone(const Tree<T>* t) {
+	if (!t)
+		return nullptr;
+
+	return new Tree<T>(t->data, clone(t->left), clone(t->right));
+}
+
+template<class T>
+void rotateLeft(Tree<T>*& root) {
+	assert(root->right != nullptr);
+
+	Tree<T>* originalRight = root->right;
+	root->right = originalRight->left;
+	originalRight->left = root;
+	root = originalRight;
+}
+
+template<class T>
+void rotateRight(Tree<T>*& root) {
+	assert(root->left != nullptr);
+
+	Tree<T>* originalLeft = root->left;
+	root->left = originalLeft->right;
+	originalLeft->right = root;
+	root = originalLeft;
+}
+
+void rotationsTests() {
+	std::vector<int> v;
+	for (size_t i = 0; i < 100; i++)
+		v.push_back(rand() % 100);
+
+	std::sort(v.begin(), v.end());
+
+	Tree<int>* example = buildFrom(v);
+	Tree<int>* exampleClone = clone(example);
+
+	// Тестваме лява ротация:
+	// Тука не правя проверки за nullptr понеже не е това целта на този пример
+	Tree<int>* alpha = clone(example->left);
+	Tree<int>* beta  = clone(example->right->left);
+	Tree<int>* gamma = clone(example->right->right);
+
+	rotateLeft(example);
+
+	assert(isSameTree(alpha, example->left->left));
+	assert(isSameTree(beta, example->left->right));
+	assert(isSameTree(gamma, example->right));
+
+	freeTree(alpha); freeTree(beta); freeTree(gamma);
+	
+	// Тествам дясна ротация
+	alpha = clone(example->left->left);
+	beta = clone(example->left->right);
+	gamma = clone(example->right);
+
+	rotateRight(example);
+
+	assert(isSameTree(alpha, example->left));
+	assert(isSameTree(beta, example->right->left));
+	assert(isSameTree(gamma, example->right->right));
+
+	freeTree(alpha); freeTree(beta); freeTree(gamma);
+
+	// Лявата ротация е симетрична на дясната следователно като направим лява + дясна трябва да остане същото дърво
+	assert(isSameTree(example, exampleClone));
+
+	freeTree(example);
+	freeTree(exampleClone);
+}
+
+int main() {
+	rotationsTests();
+}
\ No newline at end of file