重建二叉树

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题目

  输入某二叉树的前序遍历和中序遍历,请重建出该二叉树。假设输入的前序遍历和中序遍历的结果中都不含有重复的数字。

  例如,前序遍历序列:{1,2,3,7,3,5,6,8},中序遍历序列:{4,7,2,1,5,3,8,6}

BinaryTreeNode* ConstructCore(int* startPreorder, int* endPreorder, int* startInorder, int* endInorder);BinaryTreeNode* Construct(int* preorder, int* inorder, int length){    if(preorder == NULL || inorder == NULL || length <= 0)        return NULL;    return ConstructCore(preorder, preorder + length - 1,        inorder, inorder + length - 1);}BinaryTreeNode* ConstructCore(    int* startPreorder, int* endPreorder,     int* startInorder, int* endInorder){    // 前序遍历序列的第一个数字是根结点的值    int rootValue = startPreorder[0];    BinaryTreeNode* root = new BinaryTreeNode();    root->m_nValue = rootValue;    root->m_pLeft = root->m_pRight = NULL;    if(startPreorder == endPreorder)    {        if(startInorder == endInorder && *startPreorder == *startInorder)            return root;        else            throw std::exception("Invalid input.");    }    // 在中序遍历中找到根结点的值    int* rootInorder = startInorder;    while(rootInorder <= endInorder && *rootInorder != rootValue)        ++ rootInorder;    if(rootInorder == endInorder && *rootInorder != rootValue)        throw std::exception("Invalid input.");    int leftLength = rootInorder - startInorder;    int* leftPreorderEnd = startPreorder + leftLength;    if(leftLength > 0)    {        // 构建左子树        root->m_pLeft = ConstructCore(startPreorder + 1, leftPreorderEnd,             startInorder, rootInorder - 1);    }    if(leftLength < endPreorder - startPreorder)    {        // 构建右子树        root->m_pRight = ConstructCore(leftPreorderEnd + 1, endPreorder,            rootInorder + 1, endInorder);    }    return root;}
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