Easy-题目36:112. Path Sum

本文探讨了如何确定一个二叉树中是否存在从根节点到叶节点的路径,其节点值之和等于给定的数值。通过递归方法实现,介绍了具体的算法实现步骤及C语言代码示例。

Given a binary tree and a sum, determine if the tree has a root-to-leaf path such that adding up all the values along the path equals the given sum.

For example:
Given the below binary tree and sum = 22,

              5
             / \
            4   8
           /   /  \
          11  13  4
         /  \       \
        7    2      1

return true, as there exist a root-to-leaf path 5->4->11->2 which sum is 22.
题目大意:
给出一个二叉树和一个和值,判断是否存在一条从根节点到叶节点路径,使得路径上所有值之和等于给定的和值。
题目分析:
(1) 若该节点为空,则不存在;
(2) 若该节点为叶子节点,则判断节点值是否等于当前和值;
(3) 若不是叶子节点,则向左右子树分别递归搜索下去。
源码:(language:c)

bool hasPathSum(struct TreeNode* root, int sum) {
    if(!root)
        return 0;
    else if (!root->left && !root->right)
        return root->val==sum;
    else
        return hasPathSum(root->left,sum-root->val) || hasPathSum(root->right,sum-root->val);
}

成绩:
4ms,beats 73%,众数4ms,27%

问题 M: The Lost Cow【Easy】 时间限制: 1.000 Sec 内存限制: 128 MB 题目描述 Farmer John has lost his prize cow Bessie, and he needs to find her! Fortunately, there is only one long path running across the farm, and Farmer John knows that Bessie has to be at some location on this path. If we think of the path as a number line, then Farmer John is currently at position x and Bessie is currently at position y (unknown to Farmer John). If Farmer John only knew where Bessie was located, he could walk directly to her, traveling a distance of |x−y|. Unfortunately, it is dark outside and Farmer John can't see anything. The only way he can find Bessie is to walk back and forth until he eventually reaches her position. Trying to figure out the best strategy for walking back and forth in his search, Farmer John consults the computer science research literature and is somewhat amused to find that this exact problem has not only been studied by computer scientists in the past, but that it is actually called the "Lost Cow Problem" (this is actually true!). The recommended solution for Farmer John to find Bessie is to move to position x+1, then reverse direction and move to position x−2, then to position x+4, and so on, in a "zig zag" pattern, each step moving twice as far from his initial starting position as before. As he has read during his study of algorithms for solving the lost cow problem, this approach guarantees that he will at worst travel 9 times the direct distance |x−y| between himself and Bessie before he finds her (this is also true, and the factor of 9 is actually the smallest such worst case guarantee any strategy can achieve). Farmer John is curious to verify this result. Given x and y, please compute the total distance he will travel according to the zig-zag search strategy above until he finds Bessie. 输入 The single line of input contains two distinct space-separated integers x and y. Both are in the range 0…1,000. 输出 Print one line of output, containing the distance Farmer John will travel to reach Bessie. 样例输入 Copy 3 6 样例输出 Copy 9 模拟问题,用C++
03-31
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