题目详情

已知栈S初始为空,用I表示入栈、O表示出栈,若入栈序列为a1a2a3a4a5,则通过栈S得到出栈序列a2a4a5a3a1的合法操作序列(  )。

  • A.IIOIIOIOOO
  • B.IOIOIOIOIO
  • C.IOOIIOIOIO
  • D.IIOOIOIOOO

正确答案及解析

正确答案
A
解析

IIOIIOIOOO出栈序列为:a2a4a5a3a1

IOIOIOIOIO出栈序列为:a1a2a3a4a5

IOOIIOIOIO无合法出栈序列,因为入栈1个元素,出栈2个元素,会产生错误。

IIOOIOIOOO无合法出栈序列,操作序列中4次入栈6次出栈也是会产生错误的。

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