In this paper, we summarize the two known traversal methods of the two-fork tree to find the third kind of traversal order, and we know that the binary tree is the only one determined by the first order and the middle sequence traversal, or after the sequence and the middle order traversal, the following describes how to find the third traversal order.
The sequence of first order traversal is: root node--left Dial hand node--right sub-node, middle sequence traversal is: Left Dial hand node--root node--right sub-node, we notice that the first sequence traversal is a binary root node, we in the middle sequence traversal with the element is divided into two parts, then the left is the left dial hand tree, the right side is a subtree, Recursive can restore the binary tree, this process can directly output the order of sequential traversal. In the same vein, sequential and middle order can be used to restore the sequence of first order traversal.
The code and test data are as follows:
1#include <iostream>2#include <cstdio>3#include <cstring>4#include <algorithm>5#include <malloc.h>6#include <string>7#include <vector>8#include <stack>9#include <queue>Ten#include <Set> One#include <map> A - #defineFrer () freopen ("In.txt", "R", stdin); - the using namespacestd; - - //function Status Code definition - #defineTRUE 1 + #defineFALSE 0 - #defineOK 1 + #defineERROR 0 A #defineINFEASIBLE-1 at #defineOVERFLOW-2 - -typedefCharTelemtype; -typedefintStatus; - -typedefstructBinode { in telemtype data; - structBinode *lchild, *Rchild; to}binode, *Bitree; + -Bitree Binarytreeformorderings (Char*,Char*,int); theBitree Binarytreepostorderings (Char*,Char*,int); * $ /*Panax Notoginseng abdecfg - DBEAFCG the DEBFGCA + */ A the intMain () + { - Frer () $ intN; $ Charstr[ -], ptr[ -]; -CIN >> N >> str >>ptr; - binarytreepostorderings (str, PTR, n); the return 0; - }Wuyi theBitree Binarytreeformorderings (Char*pre,Char*inch,intLen) { - if(Len <=0) Wu returnNULL; -Binode *node =NewBinode; AboutNode->data = *Pre; $ intIDX =0; - while(IDX <Len) { - if(*(inch+ idx) = = *pre) - Break; A++idx; + } theNode->lchild = binarytreeformorderings (pre +1,inch, idx); -Node->rchild = binarytreeformorderings (pre + idx +1,inch+ idx +1, Len-(idx +1)); $cout << Node->data <<' '; the returnnode; the } the theBitree Binarytreepostorderings (Char*inch,Char*post,intLen) { - if(len = =0) in returnNULL; theBinode *node =NewBinode; theNode->data = * (post + len-1); Aboutcout << Node->data <<' '; the intIDX =0; the while(IDX <Len) { the if(*(inch+ idx) = = * (post + len-1)) + Break; -++idx; the }BayiNode->lchild = Binarytreepostorderings (inch, post, idx); theNode->rchild = Binarytreepostorderings (inch+ idx +1, post + idx, Len-(idx +1)); the returnnode; -}
Data structure------known sequence ordering sequence, known sequence order