leetcode.105 前序中序构造二叉树

139 阅读1分钟
class Solution {
public:
        TreeNode* traversal (vector<int>& inorder, int inorderBegin, int inorderEnd, vector<int>& preorder, int preorderBegin, int preorderEnd) {
        if (preorderBegin == preorderEnd) return NULL;

        int rootValue = preorder[preorderBegin]; // 注意用preorderBegin 不要用0
        TreeNode* root = new TreeNode(rootValue);

        if (preorderEnd - preorderBegin == 1) return root;

        int delimiterIndex;
        for (delimiterIndex = inorderBegin; delimiterIndex < inorderEnd; delimiterIndex++) {
            if (inorder[delimiterIndex] == rootValue) break;
        }
        // 切割中序数组
        // 中序左区间,左闭右开[leftInorderBegin, leftInorderEnd)
        int leftInorderBegin = inorderBegin;
        int leftInorderEnd = delimiterIndex;
        // 中序右区间,左闭右开[rightInorderBegin, rightInorderEnd)
        int rightInorderBegin = delimiterIndex + 1;
        int rightInorderEnd = inorderEnd;

        // 切割前序数组
        // 前序左区间,左闭右开[leftPreorderBegin, leftPreorderEnd)
        int leftPreorderBegin =  preorderBegin + 1;
        int leftPreorderEnd = preorderBegin + 1 + delimiterIndex - inorderBegin; // 终止位置是起始位置加上中序左区间的大小size
        // 前序右区间, 左闭右开[rightPreorderBegin, rightPreorderEnd)
        int rightPreorderBegin = preorderBegin + 1 + (delimiterIndex - inorderBegin);
        int rightPreorderEnd = preorderEnd;

        root->left = traversal(inorder, leftInorderBegin, leftInorderEnd,  preorder, leftPreorderBegin, leftPreorderEnd);
        root->right = traversal(inorder, rightInorderBegin, rightInorderEnd, preorder, rightPreorderBegin, rightPreorderEnd);

        return root;
    }

public:
    TreeNode* buildTree(vector<int>& preorder, vector<int>& inorder) {
        if (inorder.size() == 0 || preorder.size() == 0) return NULL;

        // 参数坚持左闭右开的原则
        return traversal(inorder, 0, inorder.size(), preorder, 0, preorder.size());
    }
};