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Merge pull request #235 from keiravillekode/dominoes
Add dominoes exercise
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# Instructions | ||
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Make a chain of dominoes. | ||
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Compute a way to order a given set of dominoes in such a way that they form a correct domino chain (the dots on one half of a stone match the dots on the neighboring half of an adjacent stone) and that dots on the halves of the stones which don't have a neighbor (the first and last stone) match each other. | ||
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For example given the stones `[2|1]`, `[2|3]` and `[1|3]` you should compute something | ||
like `[1|2] [2|3] [3|1]` or `[3|2] [2|1] [1|3]` or `[1|3] [3|2] [2|1]` etc, where the first and last numbers are the same. | ||
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For stones `[1|2]`, `[4|1]` and `[2|3]` the resulting chain is not valid: `[4|1] [1|2] [2|3]`'s first and last numbers are not the same. | ||
4 != 3 | ||
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Some test cases may use duplicate stones in a chain solution, assume that multiple Domino sets are being used. |
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{ | ||
"authors": [ | ||
"keiravillekode" | ||
], | ||
"files": { | ||
"solution": [ | ||
"dominoes.v" | ||
], | ||
"test": [ | ||
"run_test.v" | ||
], | ||
"example": [ | ||
".meta/example.v" | ||
] | ||
}, | ||
"blurb": "Make a chain of dominoes." | ||
} |
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module main | ||
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type Domino = []int | ||
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fn search(mut dominoes []Domino, remaining int) bool { | ||
if remaining == 0 { | ||
return dominoes[0][0] == dominoes[dominoes.len - 1][1] | ||
} | ||
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for i in 0..remaining { | ||
if dominoes[i][0] == dominoes[remaining][0] { | ||
dominoes[i][0], dominoes[i][1] = dominoes[i][1], dominoes[i][0] | ||
} | ||
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if dominoes[i][1] != dominoes[remaining][0] { | ||
continue | ||
} | ||
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dominoes[i], dominoes[remaining - 1] = dominoes[remaining - 1], dominoes[i] | ||
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if search(mut dominoes, remaining - 1) { | ||
return true | ||
} | ||
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dominoes[i], dominoes[remaining - 1] = dominoes[remaining - 1], dominoes[i] | ||
} | ||
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return false | ||
} | ||
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fn can_chain(dominoes []Domino) bool { | ||
if dominoes.len == 0 { | ||
return true | ||
} | ||
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mut dominoes2 := dominoes.clone() | ||
return search(mut dominoes2, dominoes.len - 1) | ||
} |
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# This is an auto-generated file. Regular comments will be removed when this | ||
# file is regenerated. Regenerating will not touch any manually added keys, | ||
# so comments can be added in a "comment" key. | ||
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[31a673f2-5e54-49fe-bd79-1c1dae476c9c] | ||
description = "empty input = empty output" | ||
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[4f99b933-367b-404b-8c6d-36d5923ee476] | ||
description = "singleton input = singleton output" | ||
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[91122d10-5ec7-47cb-b759-033756375869] | ||
description = "singleton that can't be chained" | ||
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[be8bc26b-fd3d-440b-8e9f-d698a0623be3] | ||
description = "three elements" | ||
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[99e615c6-c059-401c-9e87-ad7af11fea5c] | ||
description = "can reverse dominoes" | ||
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[51f0c291-5d43-40c5-b316-0429069528c9] | ||
description = "can't be chained" | ||
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[9a75e078-a025-4c23-8c3a-238553657f39] | ||
description = "disconnected - simple" | ||
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[0da0c7fe-d492-445d-b9ef-1f111f07a301] | ||
description = "disconnected - double loop" | ||
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[b6087ff0-f555-4ea0-a71c-f9d707c5994a] | ||
description = "disconnected - single isolated" | ||
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[2174fbdc-8b48-4bac-9914-8090d06ef978] | ||
description = "need backtrack" | ||
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[167bb480-dfd1-4318-a20d-4f90adb4a09f] | ||
description = "separate loops" | ||
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[cd061538-6046-45a7-ace9-6708fe8f6504] | ||
description = "nine elements" | ||
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[44704c7c-3adb-4d98-bd30-f45527cf8b49] | ||
description = "separate three-domino loops" |
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module main | ||
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type Domino = []int | ||
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fn can_chain(dominoes []Domino) bool { | ||
} |
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module main | ||
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fn test_empty_input_empty_output() { | ||
dominoes := [][]int{} | ||
assert can_chain(dominoes) | ||
} | ||
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fn test_singleton_input_singleton_output() { | ||
dominoes := [[1, 1]] | ||
assert can_chain(dominoes) | ||
} | ||
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fn test_singleton_that_cant_be_chained() { | ||
dominoes := [[1, 2]] | ||
assert !can_chain(dominoes) | ||
} | ||
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fn test_three_elements() { | ||
dominoes := [[1, 2], [3, 1], [2, 3]] | ||
assert can_chain(dominoes) | ||
} | ||
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fn test_can_reverse_dominoes() { | ||
dominoes := [[1, 2], [1, 3], [2, 3]] | ||
assert can_chain(dominoes) | ||
} | ||
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fn test_cant_be_chained() { | ||
dominoes := [[1, 2], [4, 1], [2, 3]] | ||
assert !can_chain(dominoes) | ||
} | ||
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fn test_disconnected___simple() { | ||
dominoes := [[1, 1], [2, 2]] | ||
assert !can_chain(dominoes) | ||
} | ||
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fn test_disconnected___double_loop() { | ||
dominoes := [[1, 2], [2, 1], [3, 4], [4, 3]] | ||
assert !can_chain(dominoes) | ||
} | ||
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fn test_disconnected___single_isolated() { | ||
dominoes := [[1, 2], [2, 3], [3, 1], [4, 4]] | ||
assert !can_chain(dominoes) | ||
} | ||
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fn test_need_backtrack() { | ||
dominoes := [[1, 2], [2, 3], [3, 1], [2, 4], [2, 4]] | ||
assert can_chain(dominoes) | ||
} | ||
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fn test_separate_loops() { | ||
dominoes := [[1, 2], [2, 3], [3, 1], [1, 1], [2, 2], [3, 3]] | ||
assert can_chain(dominoes) | ||
} | ||
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fn test_nine_elements() { | ||
dominoes := [[1, 2], [5, 3], [3, 1], [1, 2], [2, 4], [1, 6], [2, 3], [3, 4], [5, 6]] | ||
assert can_chain(dominoes) | ||
} | ||
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fn test_separate_three_domino_loops() { | ||
dominoes := [[1, 2], [2, 3], [3, 1], [4, 5], [5, 6], [6, 4]] | ||
assert !can_chain(dominoes) | ||
} |