题目详情

在12个互异元素构成的有序数组a[1..12]中进行二分查找(即折半查找,向下取整),若待查找的元素正好等于a[9],则在此过程中,依次与数组中的(  )比较后,查找成功结束。

  • A.a[6]、a[7]、a[8]、a[9]
  • B.a[6]、a[9]
  • C.a[6]、a[7]、a[9]
  • D.a[6]、a[8]、a[9]

正确答案及解析

正确答案
B
解析

二分查找的基本思想是将n个元素分成大致相等的两部分,取a[n/2]与x做比较,如果x=a[n/2],则找到x,算法中止;如果x<a[n/2],则只要在数组a的左半部分继续搜索x,如果x>a[n/2],则只要在数组a的右半部搜索x。故查找顺序如下图所示:

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