Zamiel

The Chest Mapping explanation

Sep 11th, 2018
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  1. Here is blcd/Blade/Will's spreadsheet that show the new The Chest strategy for mapping:
  2. https://docs.google.com/spreadsheets/d/1VJqmqntVUVIzW5l6XGHELbdt8G06kvDMcbFOUQ8i0Kk/edit#gid=919737978
  3.  
  4. this confirms adam's propaganda as true (which was to always go left and right instead of down on the chest).
  5. here's my post-hoc rationalization of why it is true:
  6.  
  7. - we know that each floor is a grid of 13x13
  8. - we know that on the grid, the starting room is always on point (7, 7)
  9. - thus, from the starting room, the boss must be:
  10.  
  11. 1) above
  12. 2) above-right
  13. 3) right
  14. 4) below-right
  15. 5) below
  16. 6) below-left
  17. 7) left
  18. 8) above-left
  19.  
  20. - the boss being exactly in the 4 cardinal directions is extremely unlikely, so lets remove them for simplicity. so now remaining directions are:
  21.  
  22. 1) above-right
  23. 2) below-right
  24. 3) below-left
  25. 4) above-left
  26.  
  27. - blcd/blade/will confirms that from his testing, the boss is equally likely to be in any of these 4 directions.
  28. - now, we can calculate door percentages for each of these possibilities (assuming the starting room has 3 doors):
  29.  
  30. 1) above-right - the exit door is probably right (since top is impossible)
  31. 2) below-right - the exit door is 50/50 right or down
  32. 6) below-left - the exit door is 50/50 left or down
  33. 8) above-left - the exit door is probably left (since top is impossible)
  34.  
  35. - we can add up the probabilities:
  36.  
  37. 1) left: 0.5 + 1 = 1.5
  38. 2) right: 1 + 0.5 = 1.5
  39. 3) down: 0.5 + 0.5 = 1
  40.  
  41. - so this is a hypothesis of why down is less likely. these proportions don't exactly match what is being generated experimentally, but they could explain the discrepancy.
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