大门|大门-CS-2014-(第2组)|问题22

优先级队列实现为最大堆。最初,它有5个元素。堆的级别顺序遍历是:10、8、5、3、2。两个新元素1和7按该顺序插入堆中。插入元素后,堆的级别顺序遍历为:

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(A) 10, 8, 7, 3, 2, 1, 5 (B) 10, 8, 7, 2, 3, 1, 5 (C) 10, 8, 7, 1, 2, 3, 5 (D) 10, 8, 7, 5, 3, 2, 1 答复: (A) 说明:

Initially heap has 10, 8, 5, 3, 2
    10
   /   
  8    5
 / 
3   2

After insertion of 1
     10
   /    
  8     5
 /    /
3   2 1 
No need to heapify as 5 is greater than 1.


After insertion of 7
     10
   /    
  8     5
 /    / 
3   2 1   7
Heapify 5 as 7 is greater than 5
     10
   /    
  8     7
 /    / 
3   2 1   5
No need to heapify any further as 10 is
greater than 7 

这个问题的小测验

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