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Allow user to calculate "what if" rating changes using fake entry #90

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@Donavern

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@Donavern

[Enhancement]

What if users are able to "provide" a fake entry to the leaderboard just for this calculation to take place, you need to provide a real id for the rating algorithm to get data to calculate with, you can select which questions you have completed and the time you took. The user can then confirm and the system will predict what the rating change for this user would have been if he was placed at that position.

This does not affect the existing leaderboard in anyway.

Example:
Case 1: I did the contest, solved 3/4 with 2 WA using 1 hour. I want to know what if I did not have 2 WA? I use this feature to calculate my position and rating change if I solved 3/4 with 0 WA using 50 minutes. (1 WA == 5 minute penalty)

Case 2: I did not do the contest. I want to see if I solved 3/4 with 45 minutes, what is my ranking and rating change?

P.S. Without this feature, for case 2, I have been doing the contest after, manually finding people with similar rating at the supposed ranking to estimate what my rating change would have been, but I am not sure if this is accurate.

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