e491c6eea9
There appears to be a typo in the description of
the recursive division algorithm.
Two things seem suspicious with the original comment:
1. It is talking about choosing s, but s doesn't
appear anywhere in the equation.
2. The math in the equation is incorrect.
Where
B = len(v)/2
s = B - 1
Proof that it is incorrect:
len(v) - B >= B + 1
len(v) - len(v)/2 >= len(v)/2 + 1
This doesn't hold if len(v) is even, e.g. 10:
10 - 10/2 >= 10/2 + 1
10 - 5 >= 5 + 1
5 >= 6 // this is false
The new equation will be the following,
which will be mathematically correct:
len(v) - s >= B + 1
len(v) - (len(v)/2 - 1) >= len(v)/2 + 1
len(v) - len(v)/2 + 1 >= len(v)/2 + 1
len(v) - len(v)/2 >= len(v)/2
This holds if len(v) is even or odd.
e.g. 10
10 - 10/2 >= 10/2
10 - 5 >= 5
5 >= 5
e.g. 11
11 - 11/2 >= 11/2
11 - 5 >= 5
6 >= 5
Change-Id: If77ce09286cf7038637b5dfd0fb7d4f828023f56
Reviewed-on: https://go-review.googlesource.com/c/go/+/287372
Run-TryBot: Katie Hockman <katie@golang.org>
Reviewed-by: Filippo Valsorda <filippo@golang.org>
Trust: Katie Hockman <katie@golang.org>
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| AUTHORS | ||
| CONTRIBUTING.md | ||
| CONTRIBUTORS | ||
| favicon.ico | ||
| LICENSE | ||
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