int main() {
BST T;
T.InsertBST(8,"龜仙人");
T.InsertBST(1000,"悟空");
T.InsertBST(2,"克林");
T.InsertBST(513,"比克");
cout << "Inorder Traversal:\n";
T.InorderPrint();
cout << endl;
cout << "Level-order Traversal:\n";
T.Levelorder();
cout << endl;
TreeNode *node = T.Search(1000);
if(node != NULL){
cout << "There is " << node->GetElement() << "(" << node->GetKey() << ")" << endl;
}
else {
cout << "no element with Key(1000)" << endl;
}
node = T.Search(73);
if(node != NULL){
cout << "There is " << node->GetElement() << "(" << node->GetKey() << ")" << endl;
}
else {
cout << "no element with Key(73)" << endl;
}
return 0;
}
int _tmain(int argc, _TCHAR* argv[])
{
//Binary Search Tree
int bstArraySize = 11;
int bstArray[] = { 15, 6, 18, 3, 7, 17, 20, 2, 13, 4, 9 };
cout << "BST Input Array: " ;
PrintArray(bstArray, bstArraySize);
BST myBST;
for (int i = 0; i < bstArraySize; i++)
myBST.Insert(myBST.root, bstArray[i]);
cout << "InOrderTreeWalk: ";
myBST.InOrderTreeWalk(myBST.root);
cout << endl;
cout << "PreOrderTreeWalk: ";
myBST.PreOrderTreeWalk(myBST.root);
cout << endl;
cout << "PostOrderTreeWalk: ";
myBST.PostOrderTreeWalk(myBST.root);
cout << endl;
myBST.Search(myBST.root, 100);
myBST.Search(myBST.root, 20);
myBST.Maximum(myBST.root);
myBST.Minimum(myBST.root);
myBST.SearchParent(myBST.root, 9);
cout << "Delete Node 15: ";
myBST.Delete(myBST.root, 15);
myBST.InOrderTreeWalk(myBST.root);
cout << endl;
cout << endl;
//Max Heap
int table[] = {16, 4, 10, 14, 7, 9, 3, 2, 8, 1, 0, 0, 0, 0};
int heapSize = 10;
int* maxHeapArray = new int[15];
for (int i = 0; i < heapSize; i++)
*(maxHeapArray + i) = table[i];
cout << "Max-Heap: ";
PrintArray(maxHeapArray, heapSize);
MaxHeap myMaxHeap;
myMaxHeap.MaxHeapify(maxHeapArray, heapSize, 1);
cout << "Max-Heapified 1: ";
PrintArray(maxHeapArray, heapSize);
for (int i = 0; i < heapSize; i++)
*(maxHeapArray + i) = table[i];
cout << "Max-Heap: ";
PrintArray(maxHeapArray, heapSize);
myMaxHeap.BuildHeap(maxHeapArray, heapSize);
cout << "BuildHeap: ";
PrintArray(maxHeapArray, heapSize);
cout << "HeapExtractMax: " << myMaxHeap.HeapExtractMax(maxHeapArray, heapSize) << endl;
cout << "Remaining: ";
PrintArray(maxHeapArray, heapSize - 1);
cout << "HeapInsert 32: \n";
myMaxHeap.HeapInsert(maxHeapArray, heapSize - 1, 32);
cout << "New Heap: ";
PrintArray(maxHeapArray, heapSize);
for (int i = 0; i < heapSize; i++)
*(maxHeapArray + i) = table[i];
cout << "Max-Heap: ";
PrintArray(maxHeapArray, heapSize);
myMaxHeap.HeapSort(maxHeapArray, heapSize);
cout << "HeapSort: ";
PrintArray(maxHeapArray, heapSize);
cout << endl;
//AVL tree
int avlArraySize =11;
//int avlArray[] = { 15, 6, 18, 3, 7, 17, 20, 2, 13, 4, 9 };
int avlArray[] = { 30, 50, 40, 60, 70, 17, 20, 2, 13, 4, 9 };
cout << "AVL Input Array: ";
PrintArray(avlArray, avlArraySize);
AVL myAVL;
for (int i = 0; i < avlArraySize; i++)
{
myAVL.Insert(myAVL.root, avlArray[i]);
myAVL.InOrderTreeWalk(myAVL.root);
cout << endl;
}
cout << "Delete 30: \n";
myAVL.Delete(myAVL.root, 30);
myAVL.InOrderTreeWalk(myAVL.root);
cout << endl;
cout << "Delete 13: \n";
myAVL.Delete(myAVL.root, 13);
myAVL.InOrderTreeWalk(myAVL.root);
cout << endl;
cout << "Delete 20: \n";
myAVL.Delete(myAVL.root, 20);
myAVL.InOrderTreeWalk(myAVL.root);
cout << endl;
//RB tree
int rbArraySize = 11;
//int rbArray[] = { 1, 3, 2, 4, 5, 6, 8, 7, 9, 10, 11 };
int rbArray[] = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 };
cout << "RB Input Array: ";
PrintArray(rbArray, rbArraySize);
RB myRB;
for (int i = 0; i < rbArraySize; i++)
{
myRB.Insert(myRB.root, myRB.root, rbArray[i]);
myRB.InOrderTreeWalk(myRB.root);
cout << endl;
}
RB myRB2;
myRB2.Insert(myRB2.root, myRB2.root, 50);
myRB2.Insert(myRB2.root, myRB2.root, 20);
myRB2.Insert(myRB2.root, myRB2.root, 30);
myRB2.Insert(myRB2.root, myRB2.root, 40);
myRB2.Insert(myRB2.root, myRB2.root, 45);
myRB2.Insert(myRB2.root, myRB2.root, 43);
myRB2.Insert(myRB2.root, myRB2.root, 44);
myRB2.Insert(myRB2.root, myRB2.root, 42);
myRB2.InOrderTreeWalk(myRB2.root);
cout << endl;
myRB2.Delete(myRB2.root, 50);
myRB2.InOrderTreeWalk(myRB2.root);
cout << endl;
//4.2 Minimal Tree : Given a sorted(increasing order) array with unique integer elements, write an
// algorithm to create a binary search tree with minimal height.
int minTree[] = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10};
TreeNode* n = MinTreeInsert(minTree, 0, 9);
//4.5 Validate BST: Implement a function to check if a binary tree is a binary search tree.
int* valArray = new int[10];
CopyBST(n, valArray, 10, 0);
for (int i = 0; i < 10; i++)
cout << i << " ";
cout << endl;
cout << ValidateBST(n, -1000000)<<endl;
//4.8 First Common Ancestor: Design an algorithm and write code to find the first common ancestor
// of two nodes in a binary tree.Avoid storing additional nodes in a data structure.NOTE: This is not
//necessarily a binary search tree.
int binaryTree[] = { 3, 5, 2, 6, 9, 7, 1, 4, 8, 10};
TreeNode* bt = MinTreeInsert(binaryTree, 0, 9);
//4.9 BST Sequences : A binary search tree was created by traversing through an array from left to right
// and inserting each element.Given a binary search tree with distinct elements, print all possible
// arrays that could have led to this tree.
//4.1O Check Subtree : Tl and T2 are two very large binary trees, with Tl much bigger than T2.Create an
// algorithm to determine ifT2 is a subtree of Tl.
// A tree T2 is a subtree of Tl if there exists a node n in Tl such that the subtree of n is identical to T2.
// That is, if you cut off the tree at node n, the two trees would be identical.
//4.11 Random Node : You are implementing a binary search tree class from scratch, which, in addition
// to insert, find, and delete, has a method getRandomNode() which returns a random node
// from the tree.All nodes should be equally likely to be chosen.Design and implement an algorithm
// for getRandomNode, and explain how you would implement the rest of the methods.
getchar();
return 0;
}
