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Merge pull request JuliaLang#115 from CNOT/master
added spiral-matrix
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# Spiral Matrix | ||
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Given the size, return a square matrix of numbers in spiral order. | ||
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The matrix should be filled with natural numbers, starting from 1 | ||
in the top-left corner, increasing in an inward, clockwise spiral order, | ||
like these examples: | ||
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###### Spiral matrix of size 3 | ||
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```text | ||
1 2 3 | ||
8 9 4 | ||
7 6 5 | ||
``` | ||
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###### Spiral matrix of size 4 | ||
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```text | ||
1 2 3 4 | ||
12 13 14 5 | ||
11 16 15 6 | ||
10 9 8 7 | ||
``` | ||
## Source | ||
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Reddit r/dailyprogrammer challenge #320 [Easy] Spiral Ascension. [https://www.reddit.com/r/dailyprogrammer/comments/6i60lr/20170619_challenge_320_easy_spiral_ascension/](https://www.reddit.com/r/dailyprogrammer/comments/6i60lr/20170619_challenge_320_easy_spiral_ascension/) | ||
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## Submitting Incomplete Solutions | ||
It's possible to submit an incomplete solution so you can see how others have completed the exercise. |
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#Credit to u/SingularInfinity on Redit: https://www.reddit.com/r/dailyprogrammer/comments/6i60lr/20170619_challenge_320_easy_spiral_ascension/djb8po0 | ||
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function spiral_matrix(n::Int) | ||
n < 0 && throw(DomainError("n should be positive")) | ||
n == 0 && return Matrix{Int}(0,0) | ||
n == 1 && return reshape(Int[1], 1, 1) | ||
m = (2n - 1) .+ spiral_matrix(n-1) | ||
return [ RowVector(1:n); rot180(m) n+1:2n-1 ] | ||
end |
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using Base.Test | ||
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include("spiral-matrix.jl") | ||
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@testset "Different valid values" begin | ||
@testset "Empty spiral" begin | ||
@test spiral_matrix(0) == Matrix{Int}(0,0) | ||
end | ||
@testset "Trivial spiral" begin | ||
@test spiral_matrix(1) == reshape([1],(1,1)) | ||
end | ||
@testset "Spiral of size 2" begin | ||
@test spiral_matrix(2) == [1 2; 4 3] | ||
end | ||
@testset "Spiral of size 3" begin | ||
@test spiral_matrix(3) == [1 2 3; 8 9 4; 7 6 5] | ||
end | ||
@testset "Spiral of size 4" begin | ||
@test spiral_matrix(4) == [1 2 3 4; 12 13 14 5; 11 16 15 6; 10 9 8 7] | ||
end | ||
@testset "Spiral of size 5" begin | ||
@test spiral_matrix(5) == [1 2 3 4 5; 16 17 18 19 6; 15 24 25 20 7; 14 23 22 21 8; 13 12 11 10 9] | ||
end | ||
end |
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function spiral_matrix(n::Int) | ||
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end |