Help needed in Help Bob of programmers army

The link to the question
https://www.codechef.com/BITM2021/problems/HBOB02
The link to the solution which gave WA
https://www.codechef.com/viewsolution/42134487
How is this solution wrong , My proof : whenever a no. Is encountered with the kth bit set then if the previous element’s xor contains kth bit as set it becomes unset and if not then it becomes set. So we have to just count the no. of times the kth bit becomes set and unset.
I have solved this problem with another approach.
Please tell me how is this solution wrong.

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Why not just do what the problem says?

I did that , I said I had solved the problem , but at first I thought of this solution which was wrong , so I am thinking how it is wrong.