1.先序遍历
1 void PreorderTraversal(BinTree BT) 2 { 3 BinTree T; 4 std::stack<BinTree> BtStack; 5 T = BT; 6 while (T || !BtStack.empty()) 7 { 8 while (T) 9 { 10 BtStack.push(T); 11 printf("%c ", T->Data); 12 T = T->Left; 13 } 14 T = BtStack.top(); 15 BtStack.pop(); 16 T = T->Right; 17 18 } 19 }
2.中序遍历
1 void InorderTraversal(BinTree BT) 2 { 3 BinTree T; 4 std::stack<BinTree> BtStack; 5 T = BT; 6 while (T || !BtStack.empty()) 7 { 8 while (T) 9 { 10 BtStack.push(T); 11 T = T->Left; 12 } 13 T = BtStack.top(); 14 BtStack.pop(); 15 printf("%c ", T->Data); 16 T = T->Right; 17 18 } 19 }
.后序遍历(重难点)
在树的结构体结点中添加一个表示访问次数的数据域,visit:
1 typedef Position BinTree; //二叉树类型 2 struct TNode { 3 ElementType Data; //结点数据 4 int visit; 5 BinTree Left; //指向左子树 6 BinTree Right; //指向右子树 7 };
遍历的代码程序:
1 void PostorderTraversal(BinTree BT) 2 { 3 BinTree T = BT; 4 std::stack<BinTree> BtStack; 5 while (T || !BtStack.empty()) 6 { 7 while (T) 8 { 9 T->visit++; 10 BtStack.push(T); 11 T = T->Left; 12 } 13 if (!BtStack.empty()) 14 { 15 T = BtStack.top(); //第二次或第三次访问该结点 16 17 if (T->visit == 2) //当visit == 2时,该结点已经被访问了3次,所以可以被输出了 18 { 19 printf("%c ", T->Data); 20 BtStack.pop(); 21 T = NULL; 22 } 23 else 24 { 25 T->visit++; //第二次访问 26 T = T->Right; //即将进入第三次访问 27 } 28 } 29 } 30 }