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【
C
】
二叉树的存储和操作
作者:
Dezai.CN
/ 发布于
2011/8/1
/
727
(1)建立二叉树的二叉链表存储,并对它进行中序遍历(2)求二叉树的结点数(3)求高度
<div><span style="color: rgb(0,0,0)">#include</span><span style="color: rgb(128,0,0)">"</span><span style="color: rgb(128,0,0)">iostream.h</span><span style="color: rgb(128,0,0)">"</span><span style="color: rgb(0,0,0)"> typedef </span><span style="color: rgb(0,0,255)">char</span><span style="color: rgb(0,0,0)"> TElemType; typedef </span><span style="color: rgb(0,0,255)">struct</span><span style="color: rgb(0,0,0)"> BiTNode { TElemType data; </span><span style="color: rgb(0,0,255)">struct</span><span style="color: rgb(0,0,0)"> BiTNode </span><span style="color: rgb(0,0,0)">*</span><span style="color: rgb(0,0,0)">lchild; </span><span style="color: rgb(0,0,255)">struct</span><span style="color: rgb(0,0,0)"> BiTNode </span><span style="color: rgb(0,0,0)">*</span><span style="color: rgb(0,0,0)">rchild; }BiTNode; typedef BiTNode </span><span style="color: rgb(0,0,0)">*</span><span style="color: rgb(0,0,0)">BiTree; </span><span style="color: rgb(0,128,0)">//</span><span style="color: rgb(0,128,0)">==============================================================================</span><span style="color: rgb(0,128,0)"> </span><span style="color: rgb(0,0,255)">void</span><span style="color: rgb(0,0,0)"> CreateBiTree_Rec(BiTree </span><span style="color: rgb(0,0,0)">&</span><span style="color: rgb(0,0,0)">T) { TElemType ch; cin</span><span style="color: rgb(0,0,0)">>></span><span style="color: rgb(0,0,0)">ch; </span><span style="color: rgb(0,0,255)">if</span><span style="color: rgb(0,0,0)">(ch</span><span style="color: rgb(0,0,0)">==</span><span style="color: rgb(128,0,0)">'</span><span style="color: rgb(128,0,0)">#</span><span style="color: rgb(128,0,0)">'</span><span style="color: rgb(0,0,0)">) T</span><span style="color: rgb(0,0,0)">=</span><span style="color: rgb(0,0,0)">NULL; </span><span style="color: rgb(0,0,255)">else</span><span style="color: rgb(0,0,0)"> { T</span><span style="color: rgb(0,0,0)">=</span><span style="color: rgb(0,0,255)">new</span><span style="color: rgb(0,0,0)"> BiTNode; T</span><span style="color: rgb(0,0,0)">-></span><span style="color: rgb(0,0,0)">data</span><span style="color: rgb(0,0,0)">=</span><span style="color: rgb(0,0,0)">ch; CreateBiTree_Rec(T</span><span style="color: rgb(0,0,0)">-></span><span style="color: rgb(0,0,0)">lchild); CreateBiTree_Rec(T</span><span style="color: rgb(0,0,0)">-></span><span style="color: rgb(0,0,0)">rchild); } } </span><span style="color: rgb(0,128,0)">//</span><span style="color: rgb(0,128,0)">=============================================================================</span><span style="color: rgb(0,128,0)"> </span><span style="color: rgb(0,0,255)">void</span><span style="color: rgb(0,0,0)"> InOrder_Rec(BiTree T) { </span><span style="color: rgb(0,0,255)">if</span><span style="color: rgb(0,0,0)">(T) { InOrder_Rec(T</span><span style="color: rgb(0,0,0)">-></span><span style="color: rgb(0,0,0)">lchild); cout</span><span style="color: rgb(0,0,0)"><<</span><span style="color: rgb(0,0,0)">T</span><span style="color: rgb(0,0,0)">-></span><span style="color: rgb(0,0,0)">data; InOrder_Rec(T</span><span style="color: rgb(0,0,0)">-></span><span style="color: rgb(0,0,0)">rchild); } } </span><span style="color: rgb(0,128,0)">//</span><span style="color: rgb(0,128,0)">==========================================================================</span><span style="color: rgb(0,128,0)"> </span><span style="color: rgb(0,0,255)">int</span><span style="color: rgb(0,0,0)"> Leafs_Rec(BiTree T) { </span><span style="color: rgb(0,0,255)">int</span><span style="color: rgb(0,0,0)"> l_Leafs,r_Leafs; </span><span style="color: rgb(0,0,255)">static</span><span style="color: rgb(0,0,0)"> </span><span style="color: rgb(0,0,255)">int</span><span style="color: rgb(0,0,0)"> i</span><span style="color: rgb(0,0,0)">=</span><span style="color: rgb(128,0,128)">0</span><span style="color: rgb(0,0,0)">; </span><span style="color: rgb(0,0,255)">if</span><span style="color: rgb(0,0,0)">(T</span><span style="color: rgb(0,0,0)">==</span><span style="color: rgb(0,0,0)">NULL) </span><span style="color: rgb(0,0,255)">return</span><span style="color: rgb(0,0,0)"> </span><span style="color: rgb(128,0,128)">0</span><span style="color: rgb(0,0,0)">; </span><span style="color: rgb(0,0,255)">else</span><span style="color: rgb(0,0,0)"> { i</span><span style="color: rgb(0,0,0)">++</span><span style="color: rgb(0,0,0)">; l_Leafs</span><span style="color: rgb(0,0,0)">=</span><span style="color: rgb(0,0,0)">Leafs_Rec(T</span><span style="color: rgb(0,0,0)">-></span><span style="color: rgb(0,0,0)">lchild); r_Leafs</span><span style="color: rgb(0,0,0)">=</span><span style="color: rgb(0,0,0)">Leafs_Rec(T</span><span style="color: rgb(0,0,0)">-></span><span style="color: rgb(0,0,0)">rchild); } </span><span style="color: rgb(0,0,255)">return</span><span style="color: rgb(0,0,0)"> i; } </span><span style="color: rgb(0,128,0)">//</span><span style="color: rgb(0,128,0)">=========================================================================</span><span style="color: rgb(0,128,0)"> </span><span style="color: rgb(0,0,255)">int</span><span style="color: rgb(0,0,0)"> Leafs_Rec1(BiTree T) { </span><span style="color: rgb(0,0,255)">int</span><span style="color: rgb(0,0,0)"> l_Leafs,r_Leafs; </span><span style="color: rgb(0,0,255)">if</span><span style="color: rgb(0,0,0)">(T</span><span style="color: rgb(0,0,0)">==</span><span style="color: rgb(0,0,0)">NULL) </span><span style="color: rgb(0,0,255)">return</span><span style="color: rgb(0,0,0)"> </span><span style="color: rgb(128,0,128)">0</span><span style="color: rgb(0,0,0)">; </span><span style="color: rgb(0,0,255)">else</span><span style="color: rgb(0,0,0)"> { </span><span style="color: rgb(0,0,255)">if</span><span style="color: rgb(0,0,0)">((T</span><span style="color: rgb(0,0,0)">-></span><span style="color: rgb(0,0,0)">lchild</span><span style="color: rgb(0,0,0)">==</span><span style="color: rgb(0,0,0)">NULL)</span><span style="color: rgb(0,0,0)">&&</span><span style="color: rgb(0,0,0)">(T</span><span style="color: rgb(0,0,0)">-></span><span style="color: rgb(0,0,0)">rchild</span><span style="color: rgb(0,0,0)">==</span><span style="color: rgb(0,0,0)">NULL)) </span><span style="color: rgb(0,0,255)">return</span><span style="color: rgb(0,0,0)"> </span><span style="color: rgb(128,0,128)">1</span><span style="color: rgb(0,0,0)">; </span><span style="color: rgb(0,0,255)">else</span><span style="color: rgb(0,0,0)"> { l_Leafs</span><span style="color: rgb(0,0,0)">=</span><span style="color: rgb(0,0,0)">Leafs_Rec1(T</span><span style="color: rgb(0,0,0)">-></span><span style="color: rgb(0,0,0)">lchild); r_Leafs</span><span style="color: rgb(0,0,0)">=</span><span style="color: rgb(0,0,0)">Leafs_Rec1(T</span><span style="color: rgb(0,0,0)">-></span><span style="color: rgb(0,0,0)">rchild); </span><span style="color: rgb(0,0,255)">return</span><span style="color: rgb(0,0,0)"> (l_Leafs</span><span style="color: rgb(0,0,0)">+</span><span style="color: rgb(0,0,0)">r_Leafs); } } } </span><span style="color: rgb(0,128,0)">//</span><span style="color: rgb(0,128,0)">============================================================================</span><span style="color: rgb(0,128,0)"> </span><span style="color: rgb(0,0,255)">int</span><span style="color: rgb(0,0,0)"> BiTreeDepth_Rec(BiTree T) { </span><span style="color: rgb(0,0,255)">int</span><span style="color: rgb(0,0,0)"> depth_l,depth_r; </span><span style="color: rgb(0,0,255)">if</span><span style="color: rgb(0,0,0)">(</span><span style="color: rgb(0,0,0)">!</span><span style="color: rgb(0,0,0)">T) </span><span style="color: rgb(0,0,255)">return</span><span style="color: rgb(0,0,0)"> </span><span style="color: rgb(128,0,128)">0</span><span style="color: rgb(0,0,0)">; </span><span style="color: rgb(0,0,255)">else</span><span style="color: rgb(0,0,0)"> { depth_l</span><span style="color: rgb(0,0,0)">=</span><span style="color: rgb(0,0,0)">BiTreeDepth_Rec(T</span><span style="color: rgb(0,0,0)">-></span><span style="color: rgb(0,0,0)">lchild); depth_r</span><span style="color: rgb(0,0,0)">=</span><span style="color: rgb(0,0,0)">BiTreeDepth_Rec(T</span><span style="color: rgb(0,0,0)">-></span><span style="color: rgb(0,0,0)">rchild); </span><span style="color: rgb(0,0,255)">if</span><span style="color: rgb(0,0,0)">(depth_l</span><span style="color: rgb(0,0,0)">>=</span><span style="color: rgb(0,0,0)">depth_r) </span><span style="color: rgb(0,0,255)">return</span><span style="color: rgb(0,0,0)"> (depth_l</span><span style="color: rgb(0,0,0)">+</span><span style="color: rgb(128,0,128)">1</span><span style="color: rgb(0,0,0)">); </span><span style="color: rgb(0,0,255)">else</span><span style="color: rgb(0,0,0)"> </span><span style="color: rgb(0,0,255)">return</span><span style="color: rgb(0,0,0)"> (depth_r</span><span style="color: rgb(0,0,0)">+</span><span style="color: rgb(128,0,128)">1</span><span style="color: rgb(0,0,0)">); } } </span><span style="color: rgb(0,128,0)">//</span><span style="color: rgb(0,128,0)">==========================================================================</span><span style="color: rgb(0,128,0)"> </span><span style="color: rgb(0,0,255)">void</span><span style="color: rgb(0,0,0)"> main() { BiTree T; cout</span><span style="color: rgb(0,0,0)"><<</span><span style="color: rgb(128,0,0)">"</span><span style="color: rgb(128,0,0)">请按要求(前序序列建立)输入您所要输入的字符串:\n</span><span style="color: rgb(128,0,0)">"</span><span style="color: rgb(0,0,0)">; CreateBiTree_Rec(T); cout</span><span style="color: rgb(0,0,0)"><<</span><span style="color: rgb(128,0,0)">"</span><span style="color: rgb(128,0,0)">中序递归遍历输出为:\n</span><span style="color: rgb(128,0,0)">"</span><span style="color: rgb(0,0,0)">; InOrder_Rec(T); cout</span><span style="color: rgb(0,0,0)"><<</span><span style="color: rgb(0,0,0)">endl; cout</span><span style="color: rgb(0,0,0)"><<</span><span style="color: rgb(128,0,0)">"</span><span style="color: rgb(128,0,0)">该二叉树的结点数目为:</span><span style="color: rgb(128,0,0)">"</span><span style="color: rgb(0,0,0)"><<</span><span style="color: rgb(0,0,0)">Leafs_Rec(T)</span><span style="color: rgb(0,0,0)"><<</span><span style="color: rgb(0,0,0)">endl; cout</span><span style="color: rgb(0,0,0)"><<</span><span style="color: rgb(128,0,0)">"</span><span style="color: rgb(128,0,0)">该二叉树的叶子结点数目为:</span><span style="color: rgb(128,0,0)">"</span><span style="color: rgb(0,0,0)"><<</span><span style="color: rgb(0,0,0)">Leafs_Rec1(T)</span><span style="color: rgb(0,0,0)"><<</span><span style="color: rgb(0,0,0)">endl; cout</span><span style="color: rgb(0,0,0)"><<</span><span style="color: rgb(128,0,0)">"</span><span style="color: rgb(128,0,0)">该二叉树的深度为:</span><span style="color: rgb(128,0,0)">"</span><span style="color: rgb(0,0,0)"><<</span><span style="color: rgb(0,0,0)">BiTreeDepth_Rec(T)</span><span style="color: rgb(0,0,0)"><<</span><span style="color: rgb(0,0,0)">endl; } </span><span style="color: rgb(0,128,0)">//</span><span style="color: rgb(0,128,0)">============================================================================</span></div>
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