usaco3.4.1 American Heritage
2017-02-13 15:04
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一 原题
American HeritageFarmer John takes the heritage of his cows very seriously. He is not, however, a truly fine bookkeeper. He keeps his cow genealogies as binary trees and, instead of writing them in graphic form, he records
them in the more linear `tree in-order' and `tree pre-order' notations.
Your job is to create the `tree post-order' notation of a cow's heritage after being given the in-order and pre-order notations. Each cow name is encoded as a unique letter. (You may already know that you
can frequently reconstruct a tree from any two of the ordered traversals.) Obviously, the trees will have no more than 26 nodes.
Here is a graphical representation of the tree used in the sample input and output:
C / \ / \ B G / \ / A D H / \ E F
The in-order traversal of this tree prints the left sub-tree, the root, and the right sub-tree.
The pre-order traversal of this tree prints the root, the left sub-tree, and the right sub-tree.
The post-order traversal of this tree print the left sub-tree, the right sub-tree, and the root.
PROGRAM NAME: heritage
INPUT FORMAT
Line 1: | The in-order representation of a tree. |
Line 2: | The pre-order representation of that same tree. |
SAMPLE INPUT (file heritage.in)
ABEDFCHG CBADEFGH
OUTPUT FORMAT
A single line with the post-order representation of the tree.SAMPLE OUTPUT (file heritage.out)
AEFDBHGC
二 分析
给定二叉树的前序遍历和中序遍历,求后序遍历。三 代码
运行结果:USER: Qi Shen [maxkibb3] TASK: heritage LANG: C++ Compiling... Compile: OK Executing... Test 1: TEST OK [0.000 secs, 4188 KB] Test 2: TEST OK [0.000 secs, 4188 KB] Test 3: TEST OK [0.000 secs, 4188 KB] Test 4: TEST OK [0.000 secs, 4188 KB] Test 5: TEST OK [0.000 secs, 4188 KB] Test 6: TEST OK [0.000 secs, 4188 KB] Test 7: TEST OK [0.000 secs, 4188 KB] Test 8: TEST OK [0.000 secs, 4188 KB] Test 9: TEST OK [0.000 secs, 4188 KB] All tests OK.YOUR PROGRAM ('heritage') WORKED FIRST TIME! That's fantastic
-- and a rare thing. Please accept these special automated
congratulations.
AC代码:
/* ID:maxkibb3 LANG:C++ PROB:heritage */ #include<iostream> #include<fstream> using namespace std; string in, pre, post; ifstream fin; ofstream fout; int pre_idx; struct Node { char val; Node *left, *right; }; Node *build_tree(int l, int r) { if(l > r) return NULL; Node *root = new Node(); pre_idx++; int in_idx = in.find(pre[pre_idx]); root->val = pre[pre_idx]; if(l != r) { root->left = build_tree(l, in_idx - 1); root->right = build_tree(in_idx + 1, r); } return root; } void post_dfs(Node *node) { if(!node) return; post_dfs(node->left); post_dfs(node->right); fout << node->val; } int main() { fin.open("heritage.in"); fout.open("heritage.out"); fin >> in >> pre; pre_idx = -1; Node *root = build_tree(0, in.length() - 1); post_dfs(root); fout << endl; delete root; fin.close(); fout.close(); }
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