nice work pat jay, lot of useful info there... i was thinking about an another approach, and made a little change in your table from the OP. tell me if i am wrong or the information is irrelevant. we are talking about the number of matches needed to play a day, to get to top100, what about counting only those that matter, the wins?
at the start of the season, you start with rating 0 and in a few games you climb up to 150, right? so, let's forget about these few "starters" and go on the climbing
based all upon your calculations, your data and your worksheet i made this table:
se_winrate.png
which shows, how many games you need to win each day, to get to a desired rank in the top100. as your rating changes, you continue to count you wins based on the corresponding row of the table. for example: assuming you are rating 200 and aiming to reach rank 50, you need to make it through 16 wins a day. if these wins get you to reach rating 250 some day, you only need to win 11 games a day from that moment. (of course the rating changes arent in that big jumps, but you can easily figure out the "missing" rows of the table)
correct me please if i'm wrong and keep up the good work
have fun.
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