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# Instruction append | ||
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## Input format | ||
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Each stone is represented in a single byte: 4 bits for each half. | ||
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For example, stones `[2|1]`, `[2|3]` and `[1|3]` are represented as the byte array `[ 0x21, 0x23, 0x13 ]` | ||
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## Reserved Memory | ||
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The buffer for the input dominoes uses bytes 256-511 of linear memory. | ||
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~~~~exercism/note | ||
Half a byte is known as a [nibble][]. | ||
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[nibble]: https://en.wikipedia.org/wiki/Nibble | ||
~~~~ |
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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 domino stones so that they form a correct domino chain. | ||
In the chain, the dots on one half of a stone must match the dots on the neighboring half of an adjacent stone. | ||
Additionally, the dots on the halves of the stones without neighbors (the first and last stone) must 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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# Introduction | ||
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In Toyland, the trains are always busy delivering treasures across the city, from shiny marbles to rare building blocks. | ||
The tracks they run on are made of colorful domino-shaped pieces, each marked with two numbers. | ||
For the trains to move, the dominoes must form a perfect chain where the numbers match. | ||
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Today, an urgent delivery of rare toys is on hold. | ||
You've been handed a set of track pieces to inspect. | ||
If they can form a continuous chain, the train will be on its way, bringing smiles across Toyland. | ||
If not, the set will be discarded, and another will be tried. | ||
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The toys are counting on you to solve this puzzle. | ||
Will the dominoes connect the tracks and send the train rolling, or will the set be left behind? |
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{ | ||
"root": true, | ||
"extends": "@exercism/eslint-config-javascript", | ||
"env": { | ||
"jest": true | ||
}, | ||
"overrides": [ | ||
{ | ||
"files": [ | ||
"*.spec.js" | ||
], | ||
"excludedFiles": [ | ||
"custom.spec.js" | ||
], | ||
"extends": "@exercism/eslint-config-javascript/maintainers" | ||
} | ||
] | ||
} |
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{ | ||
"authors": [ | ||
"keiravillekode" | ||
], | ||
"files": { | ||
"solution": [ | ||
"dominoes.wat" | ||
], | ||
"test": [ | ||
"dominoes.spec.js" | ||
], | ||
"example": [ | ||
".meta/proof.ci.wat" | ||
], | ||
"invalidator": [ | ||
"package.json" | ||
] | ||
}, | ||
"blurb": "Make a chain of dominoes.", | ||
"custom": { | ||
"version.tests.compatibility": "jest-27", | ||
"flag.tests.task-per-describe": false, | ||
"flag.tests.may-run-long": false, | ||
"flag.tests.includes-optional": false | ||
} | ||
} |
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(module | ||
(memory (export "mem") 1) | ||
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(global $parentTable i32 (i32.const 0)) | ||
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(global $tallyTable i32 (i32.const 16)) | ||
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(func $root (param $nibble i32) (result i32) | ||
(local $current i32) | ||
(local $parent i32) | ||
(local.set $parent (local.get $nibble)) | ||
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(loop $traverse | ||
(local.set $current (local.get $parent)) | ||
(local.set $parent (i32.load8_u (i32.add (global.get $parentTable) | ||
(local.get $current)))) | ||
(br_if $traverse (i32.ne (local.get $parent) | ||
(local.get $current))) | ||
) | ||
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(return (local.get $current)) | ||
) | ||
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(func $updateTally (param $nibble i32) | ||
(local $ptr i32) | ||
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(local.set $ptr (i32.add (global.get $tallyTable) | ||
(local.get $nibble))) | ||
(i32.store8 (local.get $ptr) | ||
(i32.add (i32.const 1) | ||
(i32.load8_u (local.get $ptr)))) | ||
) | ||
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;; | ||
;; Determine if the dominoes form a chain. | ||
;; | ||
;; @param {i32} offset - offset of byte array in linear memory | ||
;; @param {i32} length - length of byte array in linear memory | ||
;; | ||
;; @returns {i32} 1 if the dominoes form a chain, 0 otherwise | ||
;; | ||
(func (export "canChain") (param $offset i32) (param $length i32) (result i32) | ||
(local $i i32) | ||
(local $stone i32) | ||
(local $left i32) | ||
(local $right i32) | ||
(local $roots i32) | ||
(local $tally i32) | ||
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(if (i32.eqz (local.get $length)) (then | ||
(return (i32.const 1)) | ||
)) | ||
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(memory.fill (global.get $tallyTable) (i32.const 0) (i32.const 16)) | ||
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(local.set $i (i32.const 0)) | ||
(loop $init | ||
(i32.store8 (i32.add (global.get $parentTable) | ||
(local.get $i)) | ||
(local.get $i)) | ||
(local.set $i (i32.add (local.get $i) | ||
(i32.const 1))) | ||
(br_if $init (i32.lt_u (local.get $i) | ||
(i32.const 16))) | ||
) | ||
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(loop $read | ||
(local.set $stone (i32.load8_u (local.get $offset))) | ||
(local.set $offset (i32.add (local.get $offset) | ||
(i32.const 1))) | ||
(local.set $length (i32.sub (local.get $length) | ||
(i32.const 1))) | ||
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(local.set $left (i32.shr_u (local.get $stone) | ||
(i32.const 4))) | ||
(local.set $right (i32.and (local.get $stone) | ||
(i32.const 15))) | ||
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(call $updateTally (local.get $left)) | ||
(call $updateTally (local.get $right)) | ||
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(local.set $left (call $root (local.get $left))) | ||
(local.set $right (call $root (local.get $right))) | ||
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(i32.store8 (i32.add (global.get $parentTable) | ||
(local.get $left)) | ||
(local.get $right)) | ||
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(br_if $read (local.get $length)) | ||
) | ||
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(local.set $roots (i32.const 0)) | ||
(local.set $i (i32.const 0)) | ||
(loop $count | ||
(local.set $tally (i32.load8_u (i32.add (global.get $tallyTable) | ||
(local.get $i)))) | ||
(if (local.get $tally) (then | ||
(if (i32.and (local.get $tally) | ||
(i32.const 1)) (then | ||
(return (i32.const 0) | ||
))) | ||
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(if (i32.eq (local.get $i) | ||
(i32.load8_u (i32.add (global.get $parentTable) | ||
(local.get $i)))) (then | ||
(local.set $roots (i32.add (local.get $roots) | ||
(i32.const 1))) | ||
)) | ||
)) | ||
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(local.set $i (i32.add (local.get $i) | ||
(i32.const 1))) | ||
(br_if $count (i32.lt_u (local.get $i) | ||
(i32.const 16))) | ||
) | ||
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(return (i32.eq (local.get $roots) | ||
(i32.const 1))) | ||
) | ||
) |
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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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[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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audit=false |
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MIT License | ||
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Copyright (c) 2021 Exercism | ||
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Permission is hereby granted, free of charge, to any person obtaining a copy | ||
of this software and associated documentation files (the "Software"), to deal | ||
in the Software without restriction, including without limitation the rights | ||
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell | ||
copies of the Software, and to permit persons to whom the Software is | ||
furnished to do so, subject to the following conditions: | ||
|
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The above copyright notice and this permission notice shall be included in all | ||
copies or substantial portions of the Software. | ||
|
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THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR | ||
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, | ||
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE | ||
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER | ||
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, | ||
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE | ||
SOFTWARE. |
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export default { | ||
presets: ["@exercism/babel-preset-javascript"], | ||
plugins: [], | ||
}; |
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According to Wikipedia, there are also extended domino sets that go up to 1-18, which would be more than can be represented in a nibble, even if you started at 0.
Wouldn't it make more sense to use 2xu8 for each stone?