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
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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