Q: Given a binary search tree, design an algorithm which creates a linked list of all the nodes at each depth (i.e., if you have a tree with depth D, you’ll have D linked lists).
A:
思路1:逐層建立鏈表。
遍歷level層的節點,來建立level+1層的鏈表。即prev爲已level+1鏈表的尾節點,則level層的節點cur->left存在的話,將其插入到鏈表中,即prev->next = cur->left,同樣的道理查看cur->right,通過cur = cur->next,繼續建立鏈表。依此逐層進行。
思路2: BFS。同思路1,只是把用迭代實現。
#include <iostream>
#include <vector>
using namespace std;
struct TreeLinkNode {
int val;
TreeLinkNode *left, *right, *next;
TreeLinkNode(int x) : val(x), left(NULL), right(NULL), next(NULL) {}
};
vector<TreeLinkNode*> res;
void insert(TreeLinkNode* root, int x){
root = new TreeLinkNode(x);
return ;
}
void connect1(TreeLinkNode *root) {
if (!root) {
return ;
}
TreeLinkNode dummy(-1);
res.push_back(root);
for (TreeLinkNode *cur = root, *prev = &dummy; cur; cur = cur->next) {
if (cur->left) {
prev->next = cur->left;
prev = cur->left;
}
if (cur->right) {
prev->next = cur->right;
prev = cur->right;
}
}
connect1(dummy.next);
}
void connect2(TreeLinkNode *root) {
if (!root) {
return ;
}
TreeLinkNode *cur = root;
while (cur) {
TreeLinkNode *next = NULL;
TreeLinkNode *prev = NULL;
while (cur) {
if (!next) {
if (cur->left) {
next = cur->left;
} else if (cur->right) {
next = cur->right;
}
}
if (cur->left) {
if (!prev) {
prev = cur->left;
}
prev->next = cur->left;
prev = prev->next;
}
if (cur->right) {
if (!prev) {
prev = cur->right;
}
prev->next = cur->right;
prev = prev->next;
}
cur = cur->next;
}
cur = next;
}
}
int main() {
int a[7] = {1,2,3,4,5,6,7};
TreeLinkNode *root = new TreeLinkNode(a[0]);
// cout<<root->val<<endl;
int i = 1;
root->left = new TreeLinkNode(a[i++]);
root->right = new TreeLinkNode(a[i++]);
root->left->left = new TreeLinkNode(a[i++]);
root->left->right = new TreeLinkNode(a[i++]);
root->right->left = new TreeLinkNode(a[i++]);
root->right->right = new TreeLinkNode(a[i++]);
// cout<<root->left->val<<endl;
connect1(root);
for (int i = 0; i < res.size(); i++) {
TreeLinkNode *cur = res[i];
while (cur) {
cout<<cur->val<<" ";
cur = cur->next;
}
cout<<endl;
}
return 0;
}