在 C++ 中找到二叉树最近的叶节点
假设给定一棵二叉树。它在不同级别有叶节点。指针指向一个节点。我们必须找到从指向节点到最近叶节点的距离。考虑树如下所示——

此处叶节点为 2、-2 和 6。如果指针指向节点 -5,则与 -5 最近的节点距离为 1。
为了解决这个问题,我们将遍历给定节点根系的子树,并在子树中找到最靠近它的叶子,然后存储距离。现在从根开始遍历树,如果节点 x 存在于左子树中,则在右子树中搜索,反之亦然。
示例
#include<iostream>
using namespace std;
class Node {
public:
int data;
Node *left, *right;
};
Node* getNode(int data) {
Node* node = new Node;
node->data = data;
node->left = node->right = NULL;
return node;
}
void getLeafDownward(Node *root, int level, int *minDist) {
if (root == NULL)
return ;
if (root->left == NULL && root->right == NULL) {
if (level < (*minDist))
*minDist = level;
return;
}
getLeafDownward(root->left, level+1, minDist);
getLeafDownward(root->right, level+1, minDist);
}
int getFromParent(Node * root, Node *x, int *minDist) {
if (root == NULL)
return -1;
if (root == x)
return 0;
int l = getFromParent(root->left, x, minDist);
if (l != -1) {
getLeafDownward(root->right, l+2, minDist);
return l+1;
}
int r = getFromParent(root->right, x, minDist);
if (r != -1) {
getLeafDownward(root->left, r+2, minDist);
return r+1;
}
return -1;
}
int minimumDistance(Node *root, Node *x) {
int minDist = INT8_MAX;
getLeafDownward(x, 0, &minDist);
getFromParent(root, x, &minDist);
return minDist;
}
int main() {
Node* root = getNode(4);
root->left = getNode(2);
root->right = getNode(-5);
root->right->left = getNode(-2);
root->right->right = getNode(6);
Node *x = root->right;
cout << "Closest distance of leaf from " << x->data <<" is: " << minimumDistance(root, x);
}输出
Closest distance of leaf from -5 is: 1
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