Napraty
Napraty [naˈpratɨ] (German: Napratten) is a village in the administrative district of Gmina Kiwity, within Lidzbark County, Warmian-Masurian Voivodeship, in northern Poland.[1] It lies approximately 8 kilometres (5 mi) north-west of Kiwity, 9 km (6 mi) north-east of Lidzbark Warmiński, and 43 km (27 mi) north of the regional capital Olsztyn.
Napraty | |
|---|---|
Village | |
  Napraty | |
| Coordinates: 54°9′N 20°42′E | |
| Country |  |
| Voivodeship | Warmian-Masurian |
| County | Lidzbark |
| Gmina | Kiwity |
| Population (approx.) | 100 |
The village has an approximate population of 100.
Notable residents
- Otto Friedrich von der Groeben (1657-1728), Prussian general
gollark: you PENGUINS.
gollark: HAS YOUR NOSE EXPLODED?
gollark: ```haskellimport Data.Listimport Data.Bits fib :: Int -> Integerfib n = snd . foldl_ fib_ (1, 0) . dropWhile not $ [testBit n k | k <- let s = bitSize n in [s-1,s-2..0]] where fib_ (f, g) p | p = (f*(f+2*g), ss) | otherwise = (ss, g*(2*f-g)) where ss = f*f+g*g foldl_ = foldl' -- '```
gollark: import Data.Listimport Data.Bits fib :: Int -> Integerfib n = snd . foldl_ fib_ (1, 0) . dropWhile not $ [testBit n k | k <- let s = bitSize n in [s-1,s-2..0]] where fib_ (f, g) p | p = (f*(f+2*g), ss) | otherwise = (ss, g*(2*f-g)) where ss = f*f+g*g foldl_ = foldl' -- '
gollark: 3.1 Using 2x2 matricesThe argument of iterateabove is a linear transformation, so we can represent it as matrix and compute the nth power of this matrix with O(log n) multiplications and additions.For example, using the simple matrix implementation in Prelude extensions,fib n = head (apply (Matrix [[0,1], [1,1]] ^ n) [0,1])
References
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