去了某研究院面试,被面了一道算法题,觉得有点意思,所以写下来供后人参考。
题目是这样子的:
给定二叉树,二叉树的每个节点都是一个整数值,求从叶子节点到根节点的和为某数的所有路径
例如下图中,要求叶子节点到根节点的值和为14的路径为:
3,6,5
3,7,4
这道题考的是二叉树深度优先遍历的增强版,其实现代码如下:
package cn.outofmemory; import java.util.Stack; public class TreeSum { public static void main(String[] args) { int expectSum = 22; // declare tree TreeNode root = new TreeNode(12, new TreeNode(6, new TreeNode(4), new TreeNode(7)), new TreeNode(3, new TreeNode(2), new TreeNode(7))); Stack<StackData> stack = new Stack<StackData>(); stack.add(new StackData(root, NodeType.root)); while (!stack.isEmpty()) { StackData top = stack.peek(); TreeNode temp = top.value; //如果栈顶元素是叶子节点,计算看是否满足条件 if (temp.isLeaf()) { int sumOfStack = getSumOfStack(stack); if(sumOfStack == expectSum) { printStack(stack); } //弹出叶子节点 stack.pop(); if(top.nodeType == NodeType.left) { temp = stack.peek().value; //如果有右子树,将右子树放入栈顶;如果没有,则循环弹出,直到有右子树的情况 if(temp.getRightNode() == null) { while(temp.getRightNode() == null){ StackData popAgain = stack.peek(); if (popAgain.value.getRightNode() == null) { popAgain = stack.pop(); temp = popAgain.value; } } } else { stack.push(new StackData(temp.getRightNode(),NodeType.right)); } continue; } else if (top.nodeType == NodeType.right) { //如果叶子节点是右子节点,那么还要再次弹出 StackData popAgain = stack.pop(); while (popAgain.nodeType == NodeType.right) { popAgain = stack.pop(); } if(!stack.isEmpty()) { StackData nowTop = stack.peek(); if(nowTop.value.getRightNode() != null) { stack.push(new StackData(nowTop.value.getRightNode(),NodeType.right)); } } } else { //如果是根节点说明遍历完了,要将根节点弹出并结束循环 stack.pop(); continue; } } else { //将所有的左子节点压栈 while (temp.getLeftNode() != null) { temp = temp.getLeftNode(); stack.add(new StackData(temp, NodeType.left)); } } } } private static void printStack(Stack<StackData> stack) { for (StackData sd : stack) { System.out.print("" + sd.value.getValue() + " "); } System.out.println(); } private static int getSumOfStack(Stack<StackData> stack) { int result = 0; for (StackData sd : stack) { result += sd.value.getValue(); } return result; } 其中TreeNode类的定义如下: package cn.outofmemory; public class TreeNode { public TreeNode() { } public TreeNode(int value) { this.value = value; } public TreeNode(int value, TreeNode left, TreeNode right) { this.value = value; this.setLeftNode(left); this.setRightNode(right); } private TreeNode left; private TreeNode right; private int value; protected void setLeftNode(TreeNode left) { this.left = left; } public TreeNode getLeftNode() { return this.left; } protected void setRightNode(TreeNode right) { this.right = right; } public TreeNode getRightNode() { return this.right; } public int getValue() { return this.value; } public boolean isLeaf() { return this.left == null && this.right == null; } NodeType枚举的定义如下: package cn.outofmemory; public enum NodeType { root,left,right; } StackData类定义如下,该类对TreeNode节点进行了封装,对于每个压栈的数据都添加了NodeType的属性,通过这个NodeType可以知道当前节点的类型。 package cn.outofmemory; public class StackData { public TreeNode value; public NodeType nodeType; public StackData(TreeNode value, NodeType type) { this.value = value; this.nodeType = type; } }
这道题是二叉树深度优先遍历的变种,需要灵活的利用栈。
http://outofmemory.cn/code-snippet/4247/binary-tree-deep-first-enum-test