二叉树宽度的计算
二叉树的宽度定义为具有最多结点数的层中包含的结点数,试计算一二叉树的宽度。
#include "stdafx.h" #include<iostream> #include<vector> using namespace std; struct BiNOde { int ele; BiNOde* lnode; BiNOde* rnode; }; vector<int>aa; int maxdepth = 0; BiNOde*create_tree() { BiNOde * root = new BiNOde; BiNOde*node1 = new BiNOde; BiNOde*node2 = new BiNOde; BiNOde*node3 = new BiNOde; BiNOde*node4 = new BiNOde; BiNOde*node5 = new BiNOde; BiNOde*node6 = new BiNOde; BiNOde*node7 = new BiNOde; BiNOde*node8 = new BiNOde; BiNOde*node9 = new BiNOde; BiNOde*node10 = new BiNOde; BiNOde*node11 = new BiNOde; root->ele = 0; node1->ele = 1; node2->ele = 2; node3->ele = 3; node4->ele = 4; node5->ele = 5; node6->ele = 6; node7->ele = 7; node8->ele = 8; node9->ele = 9; node10->ele = 10; node11->ele = 11; root->lnode = node1; root->rnode = node2; node1->lnode = node3; node1->rnode = node4; node2->lnode = node7; node2->rnode = node8; node3->lnode = node5; node3->rnode = node11; node4->lnode = node10; node4->rnode = NULL; node5->lnode = node6; node5->rnode = NULL; node6->lnode = NULL; node6->rnode = NULL; node7->lnode = node9; node7->rnode = NULL; node8->lnode = NULL; node8->rnode = NULL; node9->lnode = NULL; node9->rnode = NULL; node10->lnode = NULL; node10->rnode = NULL; node11->lnode = NULL; node11->rnode = NULL; //BiNOde*node12 = new BiNOde; //node12->ele = 12; //node12->lnode = NULL; //node12->rnode = NULL; //node6->lnode = node11; return root; } void PreOrderTraverseTree(BiNOde*node,BiNOde*root) { if (node == NULL) return ; if(node==root) { root->ele=0; aa.push_back(1); } else { aa[node->ele]++; } if (node->lnode != NULL) { node->lnode->ele=node->ele+1; if (node->lnode->ele > aa.size()-1) aa.push_back(0); PreOrderTraverseTree(node->lnode, root); } if (node->rnode != NULL) { node->rnode->ele=node->ele+1; if (node->rnode->ele > aa.size()-1) aa.push_back(0); PreOrderTraverseTree(node->rnode, root); } } int _tmain(int argc, _TCHAR* argv[]) { BiNOde*root=create_tree(); PreOrderTraverseTree(root, root); maxdepth=aa.size()-1; for (int i = 0; i < maxdepth+1; i++) cout<<aa[i]<<endl; system("pause"); return 0; }
注意,原二叉树要留一份拷贝
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