下列序列中,满足堆定义的是()。A.(100,86,48,73,35,39,42

资格题库2022-08-02  6

问题 下列序列中,满足堆定义的是()。A.(100,86,48,73,35,39,42,57,66,21)B.(12,70,33,65,24,56,48,92,86,33)C.(103,97,56,38,66,23,42,12,30,52,6,26)D.(5,56,20,23,40,38,29,61,36,76,28,100)

选项 A.(100,86,48,73,35,39,42,57,66,21)
B.(12,70,33,65,24,56,48,92,86,33)
C.(103,97,56,38,66,23,42,12,30,52,6,26)
D.(5,56,20,23,40,38,29,61,36,76,28,100)

答案 A

解析 n个元素的序列{K1,K2,…,Kn}当且仅当满足下面关系:Ki<=K2i和Ki<=K(2i+1)或者Ki>=K2i和Ki>K(2i+1)时,称之为堆。B项,其构成的是小顶堆,70和24之间不满足小顶堆性质;C项,其构成的是大顶堆,23和26不满足大顶堆性质;D项,其构成的是小顶堆,56和23,40和28不满足小顶堆性质。A项对应的是大顶堆,满足大顶堆性质。
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