二叉树经典题目(2)

翻转二叉树

链接: https://leetcode-cn.com/problems/invert-binary-tree/.
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/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     struct TreeNode *left;
 *     struct TreeNode *right;
 * };
 */


struct TreeNode* invertTree(struct TreeNode* root)
{
    
    
    if(root == NULL)
        return NULL;
    struct TreeNode* p = NULL;
    p = root->left;
    root->left = root->right;
    root->right = p;
    root->left = invertTree(root->left);
    root->right = invertTree(root->right);
    return root;
}

单值二叉树

链接: https://leetcode-cn.com/problems/univalued-binary-tree/submissions/.

/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     struct TreeNode *left;
 *     struct TreeNode *right;
 * };
 */


bool isUnivalTree(struct TreeNode* root)
{
    
    
    if(root == NULL)
        return true;
    if(root->left && root->left->val != root->val)
        return false;
    if(root->right && root->right->val != root->val)
        return false;
    return isUnivalTree(root->left) && isUnivalTree(root->right);
}

根据二叉树创建字符串

链接: https://leetcode-cn.com/problems/construct-string-from-binary-tree/.
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/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     struct TreeNode *left;
 *     struct TreeNode *right;
 * };
 */
void _tree2str(struct TreeNode* t, char* str)
{
    
    
    if(t == NULL)
        return;
    char  buf[10] = {
    
    0};
    sprintf(buf, "%d", t->val);//将第一个元素转换成整型输入到buf中
    strcat(str, buf);

    if(t->left == NULL)
    {
    
    
        if(t->right == NULL)
            return;
        else
            strcat(str, "()");
    }
    else{
    
    
        strcat(str, "(");
        _tree2str(t->left, str);
        strcat(str,")");
    }
    if(t->right == NULL)
        return;
    else{
    
    
        strcat(str, "(");
        _tree2str(t->right, str);
        strcat(str, ")");
    }
}

char * tree2str(struct TreeNode* t)
{
    
    
    int n = 100000;
    char* str = (char*)malloc(sizeof(char)* n);
    str[0] = '\0';

    _tree2str(t, str);

    return str;
}

二叉树层序遍历

链接: https://leetcode-cn.com/problems/binary-tree-level-order-traversal/submissions/.
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/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     struct TreeNode *left;
 *     struct TreeNode *right;
 * };
 */


/**
 * Return an array of arrays of size *returnSize.
 * The sizes of the arrays are returned as *returnColumnSizes array.
 * Note: Both returned array and *columnSizes array must be malloced, assume caller calls free().
 */
int maxDepth(struct TreeNode* t)//求树高度
{
    
    
    if(t == NULL)
        return 0;
    int left_h = maxDepth(t->left);
    int right_h = maxDepth(t->right);
    return (left_h > right_h ? left_h : right_h) + 1;
}

int** levelOrder(struct TreeNode* root, int* returnSize, int** returnColumnSizes)
{
    
    
    if(root == NULL)
    {
    
    
        *returnSize = 0;
        return NULL;
    }

    int max_level = maxDepth(root);
    *returnSize = max_level;//二维数组的行
    int **levelOrder = (int**)malloc(sizeof(int*) * max_level);//申请二级指针指向一个含有三个指针的数组
    *returnColumnSizes = (int*)malloc(sizeof(int) * max_level);//每一行中列的个数
    //开始层次遍历
    struct TreeNode* q1[1000],* q2[1000];//使用队列开始层次遍历
    int q1_size = 0, q2_size = 0;
    q1[0] = root;//队列1放入根节点
    q1_size++;

    int level = 0;//从顶层开始
    while(level < max_level)//循环的次数为二维数组行的大小
    {
    
    
        levelOrder[level] = (int*)malloc(sizeof(int) * q1_size);//给每一行申请空间
        for(int i = 0; i<q1_size; ++i)
            levelOrder[level][i] = q1[i]->val;//赋值
        (*returnColumnSizes)[level] = q1_size;//第一行的列的个数为队列1的大小
        for(int i = 0; i<q1_size; ++i)
        {
    
    
            if(q1[i]->left != NULL)
                q2[q2_size++] = q1[i]->left;
            if(q1[i]->right != NULL)
                q2[q2_size++] = q1[i]->right;
        }

        memcpy(q1, q2, sizeof(struct TreeNode*) * q2_size);
        q1_size = q2_size;
        q2_size = 0;

        level++;

    }

    return levelOrder;
}

二叉树的最近公共祖先

链接: https://leetcode-cn.com/problems/lowest-common-ancestor-of-a-binary-tree/submissions/.
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/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     struct TreeNode *left;
 *     struct TreeNode *right;
 * };
 */
bool findNode(struct TreeNode* root, struct TreeNode* n)//寻找节点
{
    
    
    if(root == NULL)
        return false;
    if(root == n)
        return true;
    return findNode(root->left, n) || findNode(root->right,n);
}
struct TreeNode* lowestCommonAncestor(struct TreeNode* root, struct TreeNode* p, struct TreeNode* q) 
{
    
    
    if(root == NULL)
        return NULL;
    if(p == root || q == root)
        return root;
    bool pInleft, pInright, qInleft, qInright;
    if(findNode(root->left, p))
    {
    
    
        pInleft = true;
        pInright = false;
    }
    else
    {
    
    
        pInleft = false;
        pInright = true;
    }
    if(findNode(root->left,q))
    {
    
    
        qInleft = true;
        qInright = false;
    }
    else{
    
    
        qInright = true;
        qInleft = false;
    }
    if(qInleft && pInleft)//两个都在左树部分,则在左树找
        return lowestCommonAncestor(root->left, p, q);
    if(qInright && pInright)//同上
        return lowestCommonAncestor(root->right, p, q);
    return root;
}

二叉搜索树转换为链表

链接: https://www.nowcoder.com/practice/947f6eb80d944a84850b0538bf0ec3a5?tpId=13&tqId=11179&rp=1&ru=%2Factivity%2Foj&qru=%2Fta%2Fcoding-interviews%2Fquestion-ranking&tab=answerKey.
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/**
 * struct TreeNode {
 *	int val;
 *	struct TreeNode *left;
 *	struct TreeNode *right;
 * };
 */

/**
 * 
 * @param pRootOfTree TreeNode类 
 * @return TreeNode类
 */

//二叉搜索树的中序遍历就是由小到大的顺序排序
void ConvertList(struct TreeNode* t, struct TreeNode** pre)//转换为链表
{
    
    
    if(t == NULL)
        return;
    ConvertList(t->left,pre);
    t->left = *pre;
    if(*pre != NULL)
        (*pre)->right = t;
    *pre = t;
    ConvertList(t->right, pre);
}
struct TreeNode* Convert(struct TreeNode* pRootOfTree ) 
{
    
    
    if(pRootOfTree == NULL)
        return NULL;
    struct TreeNode* pre = NULL;
    ConvertList(pRootOfTree, &pre);
    
    struct TreeNode* pHead = pre;
    while(pHead->left != NULL)//将指针从最后一位移到第一位
        pHead = pHead->left;
    return pHead;
}

根据二叉树前序中序遍历构造二叉树

链接: https://leetcode-cn.com/problems/construct-binary-tree-from-preorder-and-inorder-traversal/.
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之前写过一篇这类专题:根据前中后序创建二叉树
本题解法:`

/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     struct TreeNode *left;
 *     struct TreeNode *right;
 * };
 */


struct TreeNode* buildTree(int* preorder, int preorderSize, int* inorder, int inorderSize)
{
    
    
    if(preorderSize == 0)
        return NULL;
    //中序中找根的位置
    int k = 0;
    while(inorder[k] != preorder[0])
        k++;
    struct TreeNode* t = (struct TreeNode*)malloc(sizeof(struct TreeNode));
    t->val = inorder[k];

    t->left = buildTree(preorder+1, k, inorder, k);
    t->right = buildTree(preorder+k+1, preorderSize-k-1, inorder+k+1, preorderSize-k-1);
    return t;
}

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转载自blog.csdn.net/qq_43560037/article/details/113893885