1. 程式人生 > >生成所有可能的搜索二叉樹

生成所有可能的搜索二叉樹

parent data names 搜索 遞歸 pub auto ren ostream

product_all_tree(0, 5);

遞歸返回子樹的指針集合。作為 左子樹或右子樹。

從而構建整顆樹。

#include<iostream>
#include<vector>
using namespace std;
//double p[1000]{ 0,0.15,0.10,0.05,0.10,0.20 };
double p[1000]{ 1,2,3,4,5,6,7,8,9 };

#define N 5
class Tree
{
public:
	Tree*parent_;
	Tree*l_c_;
	Tree*r_c_;
	double data_;
	Tree(double a) {
		parent_ = nullptr;
		l_c_ = nullptr;
		r_c_ = nullptr;
		data_ = a;
	}
};
vector<Tree*> product_all_tree(int start,int end)//start end 起始下標,結束下標
{
	vector<Tree*> trees;
	if (start > end)
	{
		trees.push_back(nullptr);
		return trees;
	}
	if (start ==end)
	{
		trees.push_back(new Tree(p[start]));
		return trees;
	}
      //以i作為分界點獲取左右兩部分的子樹集合 for (int i = start; i <= end; ++i) { auto lefts = product_all_tree(start,i-1); auto rights = product_all_tree(i+1, end); for(auto left: lefts) for (auto right : rights) { Tree* root = new Tree(p[i]); root->l_c_ = left; root->r_c_ = right; trees.push_back(root); } } return trees; } void PrintTree(Tree*T, int Layer=1) {/*按豎向樹狀打印的二叉樹*/ int i; if (T == NULL) return; PrintTree(T->r_c_, Layer + 1); for (i = 0; i<Layer; i++) printf(" "); printf("%d\n", static_cast<int>(T->data_)); //按逆中序輸出結點,用層深決定結點的左右位置 PrintTree(T->l_c_, Layer + 1); } int main() { auto trees=product_all_tree(0, 5);//一共六個數 for (auto tree : trees) { PrintTree(tree); cout << "-----------------"<< endl ; } }

  結果:二叉樹的輸出有點醜 橫向的,主要關註點,這是個搜索二叉樹,

  • 當前根節點的值大於左子樹節點的值
  • 當前根節點的值小於右子樹節點的值
  • 左右子樹同樣是二叉搜索樹
            6
          5
        4
      3
    2
  1
--------------------------
          6
            5
        4
      3
    2
  1
--------------------------
          6
        5
          4
      3
    2
  1
--------------------------
        6
            5
          4
      3
    2
  1
--------------------------
        6
          5
            4
      3
    2
  1
--------------------------
          6
        5
      4
        3
    2
  1
--------------------------
        6
          5
      4
        3
    2
  1
--------------------------
        6
      5
          4
        3
    2
  1
--------------------------
        6
      5
        4
          3
    2
  1
--------------------------
      6
            5
          4
        3
    2
  1
--------------------------
      6
          5
            4
        3
    2
  1
--------------------------
      6
          5
        4
          3
    2
  1
--------------------------
      6
        5
            4
          3
    2
  1
--------------------------
      6
        5
          4
            3
    2
  1
--------------------------
          6
        5
      4
    3
      2
  1
--------------------------
        6
          5
      4
    3
      2
  1
--------------------------
        6
      5
        4
    3
      2
  1
--------------------------
      6
          5
        4
    3
      2
  1
--------------------------
      6
        5
          4
    3
      2
  1
--------------------------
        6
      5
    4
        3
      2
  1
--------------------------
      6
        5
    4
        3
      2
  1
--------------------------
        6
      5
    4
      3
        2
  1
--------------------------
      6
        5
    4
      3
        2
  1
--------------------------
      6
    5
          4
        3
      2
  1
--------------------------
      6
    5
        4
          3
      2
  1
--------------------------
      6
    5
        4
      3
        2
  1
--------------------------
      6
    5
      4
          3
        2
  1
--------------------------
      6
    5
      4
        3
          2
  1
--------------------------
    6
            5
          4
        3
      2
  1
--------------------------
    6
          5
            4
        3
      2
  1
--------------------------
    6
          5
        4
          3
      2
  1
--------------------------
    6
        5
            4
          3
      2
  1
--------------------------
    6
        5
          4
            3
      2
  1
--------------------------
    6
          5
        4
      3
        2
  1
--------------------------
    6
        5
          4
      3
        2
  1
--------------------------
    6
        5
      4
          3
        2
  1
--------------------------
    6
        5
      4
        3
          2
  1
--------------------------
    6
      5
            4
          3
        2
  1
--------------------------
    6
      5
          4
            3
        2
  1
--------------------------
    6
      5
          4
        3
          2
  1
--------------------------
    6
      5
        4
            3
          2
  1
--------------------------
    6
      5
        4
          3
            2
  1
--------------------------
          6
        5
      4
    3
  2
    1
--------------------------
        6
          5
      4
    3
  2
    1
--------------------------
        6
      5
        4
    3
  2
    1
--------------------------
      6
          5
        4
    3
  2
    1
--------------------------
      6
        5
          4
    3
  2
    1
--------------------------
        6
      5
    4
      3
  2
    1
--------------------------
      6
        5
    4
      3
  2
    1
--------------------------
      6
    5
        4
      3
  2
    1
--------------------------
      6
    5
      4
        3
  2
    1
--------------------------
    6
          5
        4
      3
  2
    1
--------------------------
    6
        5
          4
      3
  2
    1
--------------------------
    6
        5
      4
        3
  2
    1
--------------------------
    6
      5
          4
        3
  2
    1
--------------------------
    6
      5
        4
          3
  2
    1
--------------------------
        6
      5
    4
  3
      2
    1
--------------------------
      6
        5
    4
  3
      2
    1
--------------------------
      6
    5
      4
  3
      2
    1
--------------------------
    6
        5
      4
  3
      2
    1
--------------------------
    6
      5
        4
  3
      2
    1
--------------------------
        6
      5
    4
  3
    2
      1
--------------------------
      6
        5
    4
  3
    2
      1
--------------------------
      6
    5
      4
  3
    2
      1
--------------------------
    6
        5
      4
  3
    2
      1
--------------------------
    6
      5
        4
  3
    2
      1
--------------------------
      6
    5
  4
        3
      2
    1
--------------------------
    6
      5
  4
        3
      2
    1
--------------------------
      6
    5
  4
      3
        2
    1
--------------------------
    6
      5
  4
      3
        2
    1
--------------------------
      6
    5
  4
      3
    2
      1
--------------------------
    6
      5
  4
      3
    2
      1
--------------------------
      6
    5
  4
    3
        2
      1
--------------------------
    6
      5
  4
    3
        2
      1
--------------------------
      6
    5
  4
    3
      2
        1
--------------------------
    6
      5
  4
    3
      2
        1
--------------------------
    6
  5
          4
        3
      2
    1
--------------------------
    6
  5
        4
          3
      2
    1
--------------------------
    6
  5
        4
      3
        2
    1
--------------------------
    6
  5
      4
          3
        2
    1
--------------------------
    6
  5
      4
        3
          2
    1
--------------------------
    6
  5
        4
      3
    2
      1
--------------------------
    6
  5
      4
        3
    2
      1
--------------------------
    6
  5
      4
    3
        2
      1
--------------------------
    6
  5
      4
    3
      2
        1
--------------------------
    6
  5
    4
          3
        2
      1
--------------------------
    6
  5
    4
        3
          2
      1
--------------------------
    6
  5
    4
        3
      2
        1
--------------------------
    6
  5
    4
      3
          2
        1
--------------------------
    6
  5
    4
      3
        2
          1
--------------------------
  6
            5
          4
        3
      2
    1
--------------------------
  6
          5
            4
        3
      2
    1
--------------------------
  6
          5
        4
          3
      2
    1
--------------------------
  6
        5
            4
          3
      2
    1
--------------------------
  6
        5
          4
            3
      2
    1
--------------------------
  6
          5
        4
      3
        2
    1
--------------------------
  6
        5
          4
      3
        2
    1
--------------------------
  6
        5
      4
          3
        2
    1
--------------------------
  6
        5
      4
        3
          2
    1
--------------------------
  6
      5
            4
          3
        2
    1
--------------------------
  6
      5
          4
            3
        2
    1
--------------------------
  6
      5
          4
        3
          2
    1
--------------------------
  6
      5
        4
            3
          2
    1
--------------------------
  6
      5
        4
          3
            2
    1
--------------------------
  6
          5
        4
      3
    2
      1
--------------------------
  6
        5
          4
      3
    2
      1
--------------------------
  6
        5
      4
        3
    2
      1
--------------------------
  6
      5
          4
        3
    2
      1
--------------------------
  6
      5
        4
          3
    2
      1
--------------------------
  6
        5
      4
    3
        2
      1
--------------------------
  6
      5
        4
    3
        2
      1
--------------------------
  6
        5
      4
    3
      2
        1
--------------------------
  6
      5
        4
    3
      2
        1
--------------------------
  6
      5
    4
          3
        2
      1
--------------------------
  6
      5
    4
        3
          2
      1
--------------------------
  6
      5
    4
        3
      2
        1
--------------------------
  6
      5
    4
      3
          2
        1
--------------------------
  6
      5
    4
      3
        2
          1
--------------------------
  6
    5
            4
          3
        2
      1
--------------------------
  6
    5
          4
            3
        2
      1
--------------------------
  6
    5
          4
        3
          2
      1
--------------------------
  6
    5
        4
            3
          2
      1
--------------------------
  6
    5
        4
          3
            2
      1
--------------------------
  6
    5
          4
        3
      2
        1
--------------------------
  6
    5
        4
          3
      2
        1
--------------------------
  6
    5
        4
      3
          2
        1
--------------------------
  6
    5
        4
      3
        2
          1
--------------------------
  6
    5
      4
            3
          2
        1
--------------------------
  6
    5
      4
          3
            2
        1
--------------------------
  6
    5
      4
          3
        2
          1
--------------------------
  6
    5
      4
        3
            2
          1
--------------------------
  6
    5
      4
        3
          2
            1
--------------------------
請按任意鍵繼續. . .

  

cout << "--------------------------" << endl ;

生成所有可能的搜索二叉樹