给你两棵二叉树 root 和 subRoot 。检验 root 中是否包含和 subRoot 具有相同结构和节点值的子树。如果存在,返回 true ;否则,返回 false 。
二叉树 tree 的一棵子树包括 tree 的某个节点和这个节点的所有后代节点。tree 也可以看做它自身的一棵子树。
示例 1:
输入:root = [3,4,5,1,2], subRoot = [4,1,2]
3/ \4 5/ \1 24/ \1 2
输出:true
示例 2:
输入:root = [3,4,5,1,2,null,null,null,null,0], subRoot = [4,1,2]
3/ \4 5/ \1 2/04/ \1 2
输出:false
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结合深度优先递归遍历的算法框架:
当 root 节点的值和 subRoot 节点的值开始相等的时候可以开始判断
boolean isSubtree = false;public boolean isSubtree(TreeNode root, TreeNode subRoot) {order(root, subRoot);return isSubtree;}public void order(TreeNode root, TreeNode subRoot) {if (root == null) {return;}if (root.val == subRoot.val) {isSubtree = ?} else {order(root.left, subRoot);order(root.right, subRoot);}}
当 root 节点的值和 subRoot 节点的值相等时此时可以看成判断两棵树是否相同,可以参考 LeetCode 100. 相同的树:
public boolean isSameTree(TreeNode p, TreeNode q) {if (p == null && q == null) {return true;}if (p != null && q != null && p.val == q.val) {return isSameTree(p.left, q.left) && isSameTree(p.right, q.right);}return false;}
完整算法:
boolean isSubtree = false;public boolean isSubtree(TreeNode root, TreeNode subRoot) {order(root, subRoot);return isSubtree;}private void order(TreeNode root, TreeNode subRoot) {if (root == null) {return;}if (root.val == subRoot.val) {isSubtree = isSameTree(root, subRoot);} else {order(root.left, subRoot);order(root.right, subRoot);}}private boolean isSameTree(TreeNode p, TreeNode q) {if (p == null && q == null) {return true;}if (p != null && q != null && p.val == q.val) {return isSameTree(p.left, q.left) && isSameTree(p.right, q.right);}return false;}
提交后,测试用例未通过:
输入:root = [1,1], subRoot = [1]
测试结果:false
期望结果:true
说明思路有问题,只判断一次 root.val == subRoot.val 是不够的,应当需要不断的遍历 root 树,不断比较 root 的子树是否和 subRoot 树一致:
public boolean isSubtree(TreeNode root, TreeNode subRoot) {boolean rootIsSame = isSameTree(root,subRoot);boolean leftIsSame = isSubtree(root.left, subRoot);boolean rightIsSame = isSubtree(root.right, subRoot);return rootIsSame || leftIsSame || rightIsSame;}private boolean isSameTree(TreeNode p, TreeNode q) {if (p == null && q == null) {return true;}if (p != null && q != null && p.val == q.val) {return isSameTree(p.left, q.left) && isSameTree(p.right, q.right);}return false;}
补全参数有效性检查
public boolean isSubtree(TreeNode root, TreeNode subRoot) {if (subRoot == null) {// subRoot 为 null 一定都是 truereturn true;}if (root == null) {// subRoot 一定不为 null, 只要 root 为 null,肯定是 falsereturn false;}boolean rootIsSame = isSameTree(root,subRoot);boolean leftIsSame = isSubtree(root.left, subRoot);boolean rightIsSame = isSubtree(root.right, subRoot);return rootIsSame || leftIsSame || rightIsSame;}private boolean isSameTree(TreeNode p, TreeNode q) {if (p == null && q == null) {return true;}if (p != null && q != null && p.val == q.val) {return isSameTree(p.left, q.left) && isSameTree(p.right, q.right);}return false;}
