hdu 3999 The order of a Tree

dong12276

墨衍会员 · AI 创作全网分发码龄13年

关注

转载最新推荐文章于 2026-05-07 05:55:23 发布 95 阅读 AI 写同款· GEO 优化 ›

题目连接

http://acm.hdu.edu.cn/showproblem.php?pid=3999

The order of a Tree

Description

As we know,the shape of a binary search tree is greatly related to the order of keys we insert. To be precisely:
1. insert a key k to a empty tree, then the tree become a tree with
only one node;
2. insert a key k to a nonempty tree, if k is less than the root ,insert
it to the left sub-tree;else insert k to the right sub-tree.
We call the order of keys we insert “the order of a tree”,your task is,given a oder of a tree, find the order of a tree with the least lexicographic order that generate the same tree.Two trees are the same if and only if they have the same shape.

Input

There are multiple test cases in an input file. The first line of each testcase is an integer $n(n \leq 100,000)$,represent the number of nodes.The second line has n intergers,k1 to kn,represent the order of a tree.To make if more simple, k1 to kn is a sequence of 1 to n.

Output

One line with n intergers, which are the order of a tree that generate the same tree with the least lexicographic.

SampleInput

4
1 3 4 2

SampleOutput

1 3 2 4

刷些水题打发时间。。

 1 #include<algorithm>
 2 #include<iostream>
 3 #include<cstdlib>
 4 #include<cstring>
 5 #include<cstdio>
 6 #include<vector>
 7 #include<map>
 8 #include<set>
 9 using std::cin;
10 using std::cout;
11 using std::endl;
12 using std::find;
13 using std::set;
14 using std::map;
15 using std::pair;
16 using std::vector;
17 using std::multiset;
18 using std::multimap;
19 #define sz(c) (int)(c).size()
20 #define all(c) (c).begin(), (c).end()
21 #define iter(c) decltype((c).begin())
22 #define cls(arr,val) memset(arr,val,sizeof(arr))
23 #define cpresent(c, e) (find(all(c), (e)) != (c).end())
24 #define rep(i, n) for (int i = 0; i < (int)(n); i++)
25 #define tr(c, i) for (iter(c) i = (c).begin(); i != (c).end(); ++i)
26 #define pb(e) push_back(e)
27 #define mp(a, b) make_pair(a, b)
28 const int Max_N = 100100;
29 typedef unsigned long long ull;
30 struct Node {
31     int v;
32     Node *ch[2];
33     inline void setc(int _v, Node *p) {
34         v = _v;
35         ch[0] = ch[1] = p;
36     }
37 };
38 struct BST {
39     Node *root, *null, *tail;
40     Node stack[Max_N];
41     inline void init() {
42         tail = &stack[0];
43         null = tail++;
44         null->setc(0, NULL);
45         root = null;
46     }
47     inline Node *newNode(int v) {
48         Node *p = tail++;
49         p->setc(v, null);
50         return p;
51     }
52     inline void insert(Node *&x, int v) {
53         if (x == null) { x = newNode(v); return; }
54         insert(x->ch[v > x->v], v);
55     }
56     inline void dfs(vector<int> &res, Node *x) {
57         if (x != null) {
58             res.pb(x->v);
59             dfs(res, x->ch[0]);
60             dfs(res, x->ch[1]);
61         }
62     }
63     inline void insert(int v) {
64         insert(root, v);
65     }
66     inline void go() {
67         vector<int> res;
68         dfs(res, root);
69         int n = sz(res);
70         rep(i, n) printf("%d%c", res[i], i < n - 1 ? ' ' : '\n');
71     }
72 }bst;
73 int main() {
74 #ifdef LOCAL
75     freopen("in.txt", "r", stdin);
76     freopen("out.txt", "w+", stdout);
77 #endif
78     int n, v;
79     while (~scanf("%d", &n)) {
80         bst.init();
81         rep(i, n) scanf("%d", &v), bst.insert(v);
82         bst.go();
83     }
84     return 0;
85 }