題目:
輸入某二叉樹的前序遍歷和中序遍歷的結果,請重建出該二叉樹。假設輸入的前序遍歷和中序遍歷的結果中都不含重復的數(shù)字。例如輸入前序遍歷序列{1,2,4,7,3,5,6,8}和中序遍歷序列{4,7,2,1,5,3,8,6},則重建二叉樹并返回。
思路:
遞歸思想,每次將左右兩顆子樹當成新的子樹進行處理,中序的左右子樹索引很好找,前序的開始結束索引通過計算中序中左右子樹的大小來計算,然后遞歸求解,直到startPre>endPre||startIn>endIn說明子樹整理完到。方法每次返回左子樹活右子樹的根節(jié)點
/**
* Definition for binary tree
* public class TreeNode {
* int val;
* TreeNode left;
* TreeNode right;
* TreeNode(int x) { val = x; }
* }
*/
public class Solution {
public TreeNode reConstructBinaryTree(int [] pre,int [] in) {
TreeNode root = reConstructBinaryTree(pre, 0, pre.length - 1, in, 0, in.length - 1);
return root;
}
private TreeNode reConstructBinaryTree(int[] pre, int startPre, int endPre, int[] in, int startIn, int endIn) {
if (startPre > endPre || startIn > endIn)
return null;
TreeNode root = new TreeNode(pre[startPre]);
for (int i = startIn; i <= endIn; i++)
if (in[i] == pre[startPre]) {
root.left = reConstructBinaryTree(pre, startPre + 1, startPre + i - startIn, in, startIn, i - 1);
root.right = reConstructBinaryTree(pre, i - startIn + startPre + 1, endPre, in, i + 1, endIn);
break;
}
return root;
}
}