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# Instructions | ||
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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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## 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 | ||
``` |
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{ | ||
"authors": ["blakelewis"], | ||
"files": { | ||
"solution": [ | ||
"spiral-matrix.rkt" | ||
], | ||
"test": [ | ||
"spiral-matrix-test.rkt" | ||
], | ||
"example": [ | ||
".meta/example.rkt" | ||
] | ||
}, | ||
"blurb": "Given the size, return a square matrix of numbers in spiral order.", | ||
"source": "Reddit r/dailyprogrammer challenge #320 [Easy] Spiral Ascension.", | ||
"source_url": "https://web.archive.org/web/20230607064729/https://old.reddit.com/r/dailyprogrammer/comments/6i60lr/20170619_challenge_320_easy_spiral_ascension/" | ||
} |
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#lang racket | ||
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(provide spiral-matrix) | ||
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(define (extract-row r coord) | ||
(let* ([row (filter (λ (c) (= (caar c) r)) coord)] | ||
[sorted-row (sort row < #:key cdar)]) | ||
(map cdr sorted-row))) | ||
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(define (take-step x y dx dy n h) | ||
(let ([x1 (+ x dx)] [y1 (+ y dy)]) | ||
(if (or (negative? x1) (negative? y1) | ||
(= x1 n) (= y1 n) (hash-has-key? h (cons y1 x1))) | ||
(values (- x dy) (+ y dx) (- dy) dx) | ||
(values x1 y1 dx dy)))) | ||
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(define (coordinates n) | ||
(let ([h (make-hash)]) | ||
(for/fold | ||
([x 0] [y 0] [dx 1] [dy 0] #:result (hash->list h)) | ||
([i (in-inclusive-range 1 (* n n))]) | ||
(hash-set! h (cons y x) i) | ||
(take-step x y dx dy n h)))) | ||
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(define (spiral-matrix n) | ||
(let ([coord (coordinates n)]) | ||
(for/list ([i (in-range n)]) | ||
(extract-row i coord)))) |
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# This is an auto-generated file. | ||
# | ||
# Regenerating this file via `configlet sync` will: | ||
# - Recreate every `description` key/value pair | ||
# - Recreate every `reimplements` key/value pair, where they exist in problem-specifications | ||
# - Remove any `include = true` key/value pair (an omitted `include` key implies inclusion) | ||
# - Preserve any other key/value pair | ||
# | ||
# As user-added comments (using the # character) will be removed when this file | ||
# is regenerated, comments can be added via a `comment` key. | ||
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[8f584201-b446-4bc9-b132-811c8edd9040] | ||
description = "empty spiral" | ||
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[e40ae5f3-e2c9-4639-8116-8a119d632ab2] | ||
description = "trivial spiral" | ||
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[cf05e42d-eb78-4098-a36e-cdaf0991bc48] | ||
description = "spiral of size 2" | ||
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[1c475667-c896-4c23-82e2-e033929de939] | ||
description = "spiral of size 3" | ||
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[05ccbc48-d891-44f5-9137-f4ce462a759d] | ||
description = "spiral of size 4" | ||
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[f4d2165b-1738-4e0c-bed0-c459045ae50d] | ||
description = "spiral of size 5" |
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#lang racket/base | ||
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(require "spiral-matrix.rkt") | ||
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(module+ test | ||
(require rackunit rackunit/text-ui)) | ||
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(module+ test | ||
(define suite | ||
(test-suite "spiral matrix tests" | ||
(test-equal? "empty spiral" | ||
(spiral-matrix 0) | ||
'()) | ||
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(test-equal? "trivial spiral" | ||
(spiral-matrix 1) | ||
'((1))) | ||
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(test-equal? "spiral of size 2" | ||
(spiral-matrix 2) | ||
'((1 2) | ||
(4 3))) | ||
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(test-equal? "spiral of size 3" | ||
(spiral-matrix 3) | ||
'((1 2 3) | ||
(8 9 4) | ||
(7 6 5))) | ||
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(test-equal? "spiral of size 4" | ||
(spiral-matrix 4) | ||
'((1 2 3 4) | ||
(12 13 14 5) | ||
(11 16 15 6) | ||
(10 9 8 7))) | ||
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(test-equal? "spiral of size 5" | ||
(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))))) | ||
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(run-tests suite)) | ||
|
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#lang racket | ||
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(provide spiral-matrix) | ||
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(define (spiral-matrix n) | ||
(error "Not implemented yet")) |