# Talk:Long stairs

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## Observation about stair per spell. Ratio for one stair more -> 2.7x(total stairs) before

Checking without random for different count of stairs per spell

```spell stairs needed steps  total stairs  without random
1           170             270
2           316             732
3           626            1978
4          1313            5352
5          2874           14470
6          6506           39136
7         15107          105849
8         35769          286252
9         86003          774127
10        209338         2093480
11        514654         5661294
12       1275768        15309316
13       3184521        41398873
14       7996239       111947446
15      20180933       302714095
16      51159226       818547716
17     130196490      2213340430
18     332485573      5984740414
```
• Yes, the expected final stair length is (s-1)exp(w) where s is the initial length of the staircase and w is the number of steps the wizard can conjure up per turn. This changes slightly if the a new step exactly at your location is ahead or behind (cf. raku entry). Thebigh (talk) 19:41, 16 November 2021 (UTC)