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说起二叉树的遍历,大学里讲的是递归算法,大多数人首先想到也是递归算法。但作为一个有理想有追求的程序员。也应该学学非递归算法实现二叉树遍历。二叉树的非递归算法需要用到辅助栈,算法着实巧妙,令人脑洞大开。
以下直入主题:
定义一颗二叉树,请看官自行想象其形状,
class BinNode( ): def __init__( self, val ): self.lchild = None self.rchild = None self.value = val binNode1 = BinNode( 1 ) binNode2 = BinNode( 2 ) binNode3 = BinNode( 3 ) binNode4 = BinNode( 4 ) binNode5 = BinNode( 5 ) binNode6 = BinNode( 6 ) binNode1.lchild = binNode2 binNode1.rchild = binNode3 binNode2.lchild = binNode4 binNode2.rchild = binNode5 binNode3.lchild = binNode6
先序遍历:
‘‘‘ 先序遍历二叉树 ‘‘‘ def bin_tree_pre_order_traverse( root, visit_func ): s = Stack() s.push( root ) while not s.is_empty(): node = s.pop() visit_func( node ) if node.rchild: s.push( node.rchild ) if node.lchild: s.push( node.lchild )
中序遍历:
‘‘‘ 中序遍历二叉树 ‘‘‘ def bin_tree_in_order_traverse( root, visit_func ): s = Stack() node = root while node or not s.is_empty(): if node: s.push( node ) node = node.lchild else: node = s.pop() visit_func( node ) node = node.rchild
后序遍历:
‘‘‘ 后序遍历二叉树 ‘‘‘ def bin_tree_post_order_traverse( root, visit_func ): s1 = Stack() s2 = Stack() s1.push( root ) while not s1.is_empty(): node = s1.pop() s2.push( node ) if node.lchild: s1.push( node.lchild ) if node.rchild: s1.push( node.rchild ) while not s2.is_empty(): visit_func( s2.pop() )
层序遍历:
def bin_tree_level_traverse( root, visit_func ): queue = Queue() queue.enqueue( root ) while not queue.is_empty(): node = queue.dequeue().value visit_func( node ) if node.lchild: queue.enqueue( node.lchild ) if node.rchild: queue.enqueue( node.rchild )
标签:style blog color os sp on div log bs
原文地址:http://www.cnblogs.com/tudas/p/binary-tree-traverse.html