题目描述
输入一个整数数组,判断该数组是不是某二叉搜索树的后序遍历的结果。如果是则输出Yes,否则输出No。假设输入的数组的任意两个数字都互不相同。
public class Solution {
public boolean VerifySquenceOfBST(int [] sequence) {
if(sequence == null || sequence.length == 0) return false;
if(sequence.length == 1) return true;
if(getPosition(sequence) == -1) return false;
else{
int pos = getPosition(sequence);
int[] leftSeq = new int[pos];
int[] rightSeq = new int[sequence.length-pos-1];
if(pos >= 0)
System.arraycopy(sequence, 0, leftSeq, 0, pos);
if(sequence.length >= 1)
System.arraycopy(sequence, pos, rightSeq, 0, sequence.length-pos-1);
return VerifySquenceOfBST(leftSeq) ||
VerifySquenceOfBST(rightSeq);
}
}
private int getPosition(int [] sequence){
int cur = sequence[sequence.length - 1];
int minPos = 0,maxPos = sequence.length - 1;
while(minPos < maxPos){
while(minPos >= 0 && sequence[minPos] < cur) minPos++;
while(maxPos >= 0 && sequence[maxPos] >= cur) maxPos--;
if(minPos < maxPos) return -1;
}
return minPos;
}
}