Show the result of inserting 10, 12, 1, 14, 6, 5, 8, 15, 3, 9, 7, 4, 11, 13, and 2, one at a time, into an initially empty binary heap.

Sure, I can show you the step-by-step process of inserting these values into an initially empty binary heap:

1. Insert 10:

   10

2. Insert 12:

    10
   /
  12

3. Insert 1:

    1
   / \
 10  12

4. Insert 14:

    1
   / \
 10  12
 /
14

5. Insert 6:

    1
   / \
  6  12
 / \
10 14

6. Insert 5:

    1
   / \
  5  12
 / \  \
10 14  \
       6

7. Insert 8:

    1
   / \
  5  12
 / \  \
10 14  8
       / \
      6   \
           9

8. Insert 15:

    1
   / \
  5  12
 / \  \
10 14  8
       / \
      6   9
     /
   15

9. Insert 3:

    1
   / \
  3  12
 / \  \
10 14  8
       / \
      6   9
     / \
   15  5

10. Insert 9:

    1
   / \
  3  12
 / \  \
10 14  8
       / \
      6   9
     / \ /
   15  5 9

11. Insert 7:

    1
   / \
  3  7
 / \  \
10 14  8
       / \
      6   9
     / \ /
   15  5 9
  /
12

12. Insert 4:

    1
   / \
  3  4
 / \  \
10 14  8
       / \
      6   9
     / \ /
   15  5 9
  / \
12  7

13. Insert 11:

    1
   / \
  3  4
 / \  \
10 11  8
       / \
      6   9
     / \ /
   15  5 9
  / \
12  7

14. Insert 13:

    1
   / \
  3  4
 / \  \
10 11  8
       / \
      6   9
     / \ /
   15  5 13
  / \   
12  7  

15. Insert 2:

    1
   / \
  2   4
 / \  \
3  11  8
   / \
  6   9
 / \ /
10 5 13
   \
    7  

The final binary heap looks like this:

     1
   /   \
  2     4
 / \   / \
3  11  8  7
   / \
  6   9
 / \ /
10 5 13