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BinaryTrees_Stanford.py
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class TreeNode:
def __init__(self,data):
self.data = data
self.left = None
self.right = None
class BSTree:
def constructTree(self, preorder, inorder, length):
if not inorder or not preorder or length < 0:
return None
return self.constructTree_private(preorder, inorder, 0, length-1, 0, length-1)
def constructTree_private(self, preorder, inorder, start_preorder, end_preorder, start_inorder, end_inorder):
root_val = preorder[start_preorder]
root = TreeNode(root_val)
if start_preorder == end_preorder and start_inorder == end_preorder:
return root
root_inorder = start_inorder
while root_inorder <= end_inorder and inorder[root_inorder] != root_val:
root_inorder += 1
left_length = root_inorder - start_inorder
left_preorder_end = start_preorder + left_length
if left_length > 0:
root.left = self.constructTree_private(preorder, inorder, start_preorder+1, left_preorder_end, start_inorder, left_length-1)
if left_length < end_preorder - start_preorder:
root.right = self.constructTree_private(preorder, inorder, left_length+1, end_preorder, root_inorder+1, end_inorder)
return root
def countNumberOfNodes(self, root):
if not root:
return 0
return 1 + self.countNumberOfNodes(root.left) + self.countNumberOfNodes(root.right)
def medianBST(self, root):
n = self.countNumberOfNodes(root)
count = 1
# while root:
def ismirror(self, root):
if not root:
return True
if not root.left and not root.right:
return True
return self.ismirror_u(root.left, root.right)
def diameter(self, root, max_len_):
if not root:
return 0
lheight = diameter(root.left)
rheight = diameter(root.right)
len_ = lheight + rheight+1
max_len_ = max(len_,max_len_)
return max_len_
def ismirror_u(self, nleft, nright):
if not nleft or not nright:
return False
if not nleft and not nright:
return True
return ismirror_u(nleft.left,nleft.right) and ismirror_u(nright.left, nright.right)
def printSum(self, root, sum_check, level, path):
if not root:
return
print "LEVEL",level
path[level] = root.data
t=0
for i in range(level,-1,-1):
print "PATH",level,path
t+=path[i]
print "T",t
if t == sum_check:
print path[:i]
self.printSum(root.left, sum_check, level+1, path)
self.printSum(root.right, sum_check, level+1, path)
path[level] = -99999999
def printSum_main(self, root, sum_check):
path = [0]*self.max_depth(root)
self.printSum(root, sum_check, 0, path)
def treeToLevelLinkedList(self, root):
cu = []
cu.append(root)
res=[]
while cur:
res.append(cu)
cu=[]
if root.left:
cu.append(root.left)
if root.right:
cu.append(root.right)
return res
def arrayToBST(self, arr):
if not arr:
return None
n = len(arr)
mid = n//2
root = TreeNode(arr[mid])
root.left = self.arrayToBST(arr[:mid])
root.right = self.arrayToBST(arr[mid+1:])
return root
count = 0
def closestNode(self, root, val):
return self.closestNodeHelper(root,val, None)
def closestNodeHelper(self, root, val, closeNode):
if not root:
return closeNode
if root.data == val:
return root
if closeNode is None or (abs(root.data - val) < abs(closeNode.data - val) ):
closeNode = root
if root.data < val:
return self.closestNodeHelper(root.right,val, closeNode)
else:
return self.closestNodeHelper(root.left,val, closeNode)
def addNode(self, root, data):
if not root:
return TreeNode(data)
if data <= root.data:
root.left = self.addNode(root.left,data)
else:
root.right = self.addNode(root.right,data)
return root
def findNode(self, root, data):
if not root:
return None
if root.data == data:
return root
elif root.data <= data:
return self.findNode(root.right,data)
else:
return self.findNode(root.left,data)
def inorder(self, root):
if not root:
return
self.inorder(root.left)
print root.data,
self.inorder(root.right)
def postorder(self, root):
if not root:
return
self.postorder(root.left)
self.postorder(root.right)
print root.data,
def dfs(self, root):
if not root:
return
BSTree.count += 1
if root.left:
self.dfs(root.left)
if root.right:
self.dfs(root.right)
return BSTree.count
def size(self, root):
if not root:
return 0
return self.size(root.left)+1+self.size(root.right)
def max_depth(self, root):
if not root:
return 0
return 1+max(self.max_depth(root.left), self.max_depth(root.right))
def min_value(self, root):
if not root:
return None
if not root.left:
return root.data
else:
return self.min_value(root.left)
def min_value_iter(self, root):
if not root:
return None
while root.left:
root = root.left
return root.data
def print_paths(self, root):
if not root:
return None
alist=[None]*100
self.print_paths_helper(root, alist, 0)
def print_paths_helper(self, root, alist, level):
if not root:
return
alist[level] = root.data
level+=1
if not root.left and not root.right:
print alist[:level]
else:
self.print_paths_helper(root.left, alist, level)
self.print_paths_helper(root.right, alist, level)
def has_path_sum(self, root, gsum):
if not root:
return gsum == 0
else:
return self.has_path_sum(root.left, gsum-root.data) or self.has_path_sum(root.right, gsum-root.data)
def mirror(self, root):
if not root:
return
temp = root.left
root.left = self.mirror(root.right)
root.right = self.mirror(temp)
return root
def mirror_inplace(self, root):
if not root:
return
self.mirror(root.right)
self.mirror(root.left)
root.left,root.right = root.right, root.left
def doubleTree(self, root):
if not root:
return None
self.doubleTree(root.left)
self.doubleTree(root.right)
t = TreeNode(root.data)
t.left = root.left
root.left = t
def same_tree(self, root1, root2):
if not root1 and not root2:
return True
elif not root1 and root2:
return False
elif root1 and not root2:
return False
if root1.data == root2.data:
return self.same_tree(root1.left,root2.left) and self.same_tree(root1.right,root2.right)
else:
return False
def isBST(self, root):
MIN = -999
MAX = 999
if not root:
return False
return self.isBST_helper(root, MIN, MAX)
def isBST_helper(self, root, min_value, max_value):
if not root:
return True
if root.data > max_value or root.data < min_value:
return False
else:
l = self.isBST_helper( root.left, min_value, root.data)
r = self.isBST_helper( root.right, root.data+1, max_value)
if l and r:
return True
else:
return False
def printLevelOrder(self, root):
import Queue
alist = []
if not root:
return None
cur_level_count = 1
next_level_count = 0
q = Queue.Queue()
q.put(root)
temp = []
while not q.empty():
popNode = q.get()
cur_level_count-=1
if popNode:
temp.append(popNode.data)
q.put(popNode.left)
q.put(popNode.right)
next_level_count+=2
if cur_level_count == 0:
alist.append(temp)
cur_level_count = next_level_count
next_level_count = 0
temp = []
return alist
def lca(self, root, n1, n2):
lca.iter = 0
# idea is going from bottom
print lca.iter
if not root:
return None
if root.data == n1 or root.data == n2:
return root
l = self.lca(root.left, n1, n2)
r = self.lca(root.right, n1, n2)
if l and r:
return root
else:
return l if l else r
def min_value_node(self, root):
if not root:
return None
while root.left:
root = root.left
return root
def delete_node(self, root, data):
if not root:
return None
if root.data == data:
if not root.left:
temp = root.right
del root
return temp
elif not root.right:
temp = root.left
del root
return temp
min_node = self.min_value_node(root.right)
root.data = min_node.data
root.right = self.delete_node(root.right, min_node.data )
if root.data < data:
root.left = self.delete_node(root.left, data)
else:
if root.data > data:
root.right = self.delete_node(root.right, data)
return root
def sum_tree(self, root):
if not root:
return None
if root.left:
root.data+=self.sum_tree(root.left).data
if root.right:
root.data+=self.sum_tree(root.right).data
return root
def search_index(self, ino, in_start, in_end, value):
while in_start <= in_end:
if ino[in_start] == value:
return in_start
in_start+=1
tree = BSTree()
inorder = [4,7,2,1,5,3,8,6]
preorder = [1,2,4,7,3,5,6,8]
print inorder(tree.constructTree(preorder,inorder, 8))
# root = tree.arrayToBST(arr)
# print tree.countNumberOfNodes(root)
# print tree.printSum_main(root,2)
# root = TreeNode(1)
# root = tree.addNode(root, 199)
# root = tree.addNode(root, 300)
# root = tree.addNode(root, -21)
# root = tree.addNode(root, 890)
# root = tree.addNode(root, 8900)
# root = tree.addNode(root, 4)
# print tree.closestNode(root,198).data
# preorder = [7,10,4,3,1,2,8,11]
# inorder = [4,10,3,1,7,11,8,2]
# root.right.right=TreeNode(4)
# root2 = TreeNode(2)
# root2.left=TreeNode(1)
# root2.right=TreeNode(4)
# root.left.left=TreeNode(4)
# # root.left.left.left=TreeNode(8)
# # root.left.right=TreeNode(5)
# root.right.left=TreeNode(6)
# root.right.right=TreeNode(7)
# root = tree.sum_tree(root)
# tree.inorder(root)
# root = tree.delete_node(root,)
# print "DELETE"
# tree.inorder(root)
# root = tree.addNode(root, 199)
# root = tree.addNode(root, 300)
# root = tree.addNode(root, -21)
# root = tree.addNode(root, 890)
# root = tree.addNode(root, 8900)
# root = tree.addNode(root, 4)
# print tree.printLevelOrder(root)
# print tree.lca(root, 1, 1).data
# # root = tree.addNode(root, 200)
# root = tree.addNode(root, 1)
# tree.inorder(root)
# print "POST"
# tree.postorder(root)
# print "DONE"
# print tree.size(root)
# print tree.max_depth(root)
# print tree.min_value(root)
# print tree.min_value_iter(root)
# print tree.print_paths(root)
# print tree.has_path_sum(root,18)
# root = tree.mirror(root)
# tree.mirror_inplace(root)
# tree.doubleTree(root)
# print "DOYVLEDONE"
# print tree.same_tree(root1,root2)
# tree.inorder(root)
#print tree.isBST(root1)