数据结构——二叉树的路径问题

    xiaoxiao2025-06-24  5

    剑指offer

    //第一种解决方法 class Solution { public: vector<vector<int> > buffer; vector<int> temp; vector<vector<int> > FindPath(TreeNode* root,int expectNumber) { if(root==NULL) return buffer; temp.push_back(root->val); if(expectNumber-root->val==0&&root->left==NULL&&root->right==NULL)//叶子结点同时之和为0 { buffer.push_back(temp); } //如果有子节点,则遍历子节点 if(root->left != nullptr) FindPath(root->left,expectNumber-root->val); if(root->right != nullptr) FindPath(root->right,expectNumber-root->val); if(temp.size()!=0) temp.pop_back();//再返回父节点之前,删除路径上的当前结点。 return buffer; } }; //第二种解决方法 class Solution { public: vector<vector<int> > buffer; vector<int> temp; int sum =0; vector<vector<int> > FindPath(TreeNode* root,int expectNumber) { if(root==NULL) return buffer; sum = sum+root->val; temp.push_back(root->val); if(expectNumber== sum &&root->left==NULL&&root->right==NULL) { buffer.push_back(temp); } //如果有子节点,则遍历子节点 if(root->left != nullptr) FindPath(root->left,expectNumber); if(root->right != nullptr) FindPath(root->right,expectNumber); if(temp.size()!=0) sum = sum-root->val; temp.pop_back();//再返回父节点之前,删除路径上的当前结点。 return buffer; } };

    leetcode

    题目:

    Given a binary tree containing digits from0-9only, each root-to-leaf path could represent a number.

    An example is the root-to-leaf path1->2->3which represents the number123.

    Find the total sum of all root-to-leaf numbers.

    For example,

    1 / \ 2 3

     

    The root-to-leaf path1->2represents the number12. The root-to-leaf path1->3represents the number13.

    Return the sum = 12 + 13 =25.

    解题的思想和上面的类似,不同之处有:

    1 输出的值,

    2 返回判断条件

    3 返回根节点时所减去的是值,而不是和上面删除节点

    4 函数开始求解的是路径之和(上面的是一个vector存储每一个节点的值。),必须定义为全部变量,不然再函数结束之后,会被释放,不能有累加的结果。

    class Solution { public: int sum = 0,pathnum = 0; int sumNumbers(TreeNode *root) { if(root == nullptr) return 0; pathnum = pathnum*10+root->val; if(root->left == nullptr && root->right ==nullptr) sum+=pathnum; if(root->left !=nullptr) sumNumbers(root->left); if(root->right != nullptr) sumNumbers(root->right); if(pathnum != 0) pathnum = (pathnum-root->val)/10; return sum; } };

     

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