重建二叉树
既然已经分别找到了左、右子树的前序遍历序列和中序遍历序列,我们可用相同的方法分别去构建左右子树。
所以,接下来的事情可用递归的方法去完毕。
递归代码例如以下:
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节点的值
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;
}