PAT 1064 Complete Binary Search Tree

 1 #include <iostream>
 2 #include <cstdio>
 3 #include <cstdlib>
 4 #include <vector>
 5 #include <algorithm>
 6 
 7 using namespace std;
 8 
 9 class Node {
10 public:
11     int val;
12     Node* left;
13     Node* right;
14 public:
15     Node(): val(0), left(NULL), right(NULL) {}
16     Node(int _val, Node* _left = NULL, Node* _right = NULL): val(_val), left(_left), right(_right) {}
17 };
18 
19 vector<Node*> build_next_level(vector<Node*> last_level, int &num) {
20     vector<Node*> res;
21     if (num < 1) return res;
22     
23     for (auto iter = last_level.begin(); iter != last_level.end(); iter++) {
24         Node* parent = *iter;
25         
26         Node* lchild = new Node();
27         res.push_back(lchild);
28         parent->left = lchild;
29         if (--num < 1) break;
30         
31         Node* rchild = new Node();
32         res.push_back(rchild);
33         parent->right= rchild;
34         if (--num < 1) break;
35     }
36     
37     return res;
38 }
39 
40 void inorder_traverse(Node* root, int& order) {
41     if (root == NULL) return;
42     inorder_traverse(root->left, order);
43     root->val = order++;
44     inorder_traverse(root->right, order);
45 }
46 
47 int main() {
48     int cnt;
49 
50     scanf("%d", &cnt);
51     
52     vector<int> nums(cnt, 0);
53     
54     if (cnt < 1) return 0;
55     
56     for (int i = 0; i<cnt; i++) {
57         int num = 0;
58         scanf("%d", &num);
59         nums[i] = num;
60     }
61     sort(nums.begin(), nums.end());
62     
63     vector<vector<Node*> > levels;
64 
65     vector<Node*> last_level;
66     last_level.push_back(new Node());
67 
68     levels.push_back(last_level);
69     
70     int node_cnt = cnt - 1; // we already pushed the root node
71     while (node_cnt > 0) {
72         vector<Node*> cur_level = build_next_level(last_level, node_cnt);
73         levels.push_back(cur_level);
74         swap(last_level, cur_level);
75     }
76 
77     int order = 0;
78     inorder_traverse(levels[0][0], order);
79     
80     node_cnt = cnt;
81     
82     for (auto iter_levels = levels.begin(); iter_levels != levels.end(); iter_levels++) {
83         vector<Node*>& cur_level = *iter_levels;
84         for (auto iter = cur_level.begin(); iter != cur_level.end(); iter++) {
85             Node* node = *iter;
86             int val = nums[node->val];
87             if (--node_cnt > 0) {
88                 printf("%d ", val);
89             } else {
90                 printf("%d\n", val); // last element
91             }
92         }
93     }
94     return 0;
95 }