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# Instructions append | ||
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## WebAssembly-specific Notes | ||
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The items are passed through linear memory, with the first item at offset 0. | ||
Each item is represented as a pair of 32-bit integers. | ||
The first number in the pair is the weight and the second is the value. | ||
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For example, consider a list of two items, where the first has `weight=1, value=2` and the second `weight=5, value=8`. | ||
The list would thus look like this in memory: | ||
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``` | ||
| 00 | 01 | 02 | 03 | 04 | 05 | 06 | 07 | 08 | 09 | 10 | 11 | 12 | 13 | 14 | 15 | | ||
| - item 1 weight - | -- item 1 value - | - item 2 weight - | -- item 2 value - | | ||
|0x01,0x00,0x00,0x00|0x02,0x00,0x00,0x00|0x05,0x00,0x00,0x00|0x08,0x00,0x00,0x00| | ||
``` | ||
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If you so choose, you may overwrite the addresses of linear memory used for the input. |
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# Instructions | ||
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Your task is to determine which items to take so that the total value of his selection is maximized, taking into account the knapsack's carrying capacity. | ||
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Items will be represented as a list of items. | ||
Each item will have a weight and value. | ||
All values given will be strictly positive. | ||
Bob can take only one of each item. | ||
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For example: | ||
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```text | ||
Items: [ | ||
{ "weight": 5, "value": 10 }, | ||
{ "weight": 4, "value": 40 }, | ||
{ "weight": 6, "value": 30 }, | ||
{ "weight": 4, "value": 50 } | ||
] | ||
Knapsack Maximum Weight: 10 | ||
``` | ||
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For the above, the first item has weight 5 and value 10, the second item has weight 4 and value 40, and so on. | ||
In this example, Bob should take the second and fourth item to maximize his value, which, in this case, is 90. | ||
He cannot get more than 90 as his knapsack has a weight limit of 10. |
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# Introduction | ||
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Bob is a thief. | ||
After months of careful planning, he finally manages to crack the security systems of a fancy store. | ||
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In front of him are many items, each with a value and weight. | ||
Bob would gladly take all of the items, but his knapsack can only hold so much weight. | ||
Bob has to carefully consider which items to take so that the total value of his selection is maximized. |
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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": [ | ||
"kahgoh" | ||
], | ||
"files": { | ||
"solution": [ | ||
"knapsack.wat" | ||
], | ||
"test": [ | ||
"knapsack.spec.js" | ||
], | ||
"example": [ | ||
".meta/proof.ci.wat" | ||
] | ||
}, | ||
"blurb": "Given a knapsack that can only carry a certain weight, determine which items to put in the knapsack in order to maximize their combined value.", | ||
"source": "Wikipedia", | ||
"source_url": "https://en.wikipedia.org/wiki/Knapsack_problem" | ||
} |
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(module | ||
(memory (export "mem") 1) | ||
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(func $maximumValue (param $itemsOffset i32) (param $itemsCount i32) (param $capacity i32) (result i32) | ||
(local $itemWeight i32) | ||
(local $itemValue i32) | ||
(local $valueWith i32) | ||
(local $valueWithout i32) | ||
|
||
(if | ||
(i32.eq | ||
(local.get $itemsCount) | ||
(i32.const 0)) | ||
(then (return (i32.const 0))) | ||
) | ||
|
||
(local.set $itemWeight (i32.load (local.get $itemsOffset))) | ||
|
||
(local.set $valueWithout | ||
(call | ||
$maximumValue | ||
(i32.add | ||
(local.get $itemsOffset) | ||
(i32.const 8) | ||
) | ||
(i32.sub | ||
(local.get $itemsCount) | ||
(i32.const 1) | ||
) | ||
(local.get $capacity) | ||
) | ||
) | ||
|
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(if | ||
(i32.lt_u | ||
(local.get $capacity) | ||
(local.get $itemWeight) | ||
) | ||
(then | ||
(return | ||
(local.get $valueWithout) | ||
) | ||
) | ||
) | ||
|
||
(local.set $itemValue | ||
(i32.load | ||
(i32.add | ||
(local.get $itemsOffset) | ||
(i32.const 4) | ||
) | ||
) | ||
) | ||
(local.set $valueWith | ||
(i32.add | ||
(local.get $itemValue) | ||
(call | ||
$maximumValue | ||
(i32.add | ||
(local.get $itemsOffset) | ||
(i32.const 8)) | ||
(i32.sub | ||
(local.get $itemsCount) | ||
(i32.const 1)) | ||
(i32.sub | ||
(local.get $capacity) | ||
(local.get $itemWeight)) | ||
) | ||
) | ||
) | ||
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||
(if | ||
(i32.gt_u | ||
(local.get $valueWith) | ||
(local.get $valueWithout)) | ||
(then | ||
(return (local.get $valueWith)) | ||
) | ||
) | ||
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(return (local.get $valueWithout)) | ||
) | ||
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;; Determine the maximum total value that can be carried | ||
;; | ||
;; @param {i32} itemsCount - The number of items | ||
;; @param {i32} capacity - How much weight the knapsack can carry | ||
;; @returns {i32} the maximum value | ||
;; | ||
(func (export "maximumValue") (param $itemsCount i32) (param $capacity i32) (result i32) | ||
(return (call $maximumValue (i32.const 0) (local.get $itemsCount) (local.get $capacity))) | ||
) | ||
) |
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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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[a4d7d2f0-ad8a-460c-86f3-88ba709d41a7] | ||
description = "no items" | ||
include = false | ||
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[3993a824-c20e-493d-b3c9-ee8a7753ee59] | ||
description = "no items" | ||
reimplements = "a4d7d2f0-ad8a-460c-86f3-88ba709d41a7" | ||
|
||
[1d39e98c-6249-4a8b-912f-87cb12e506b0] | ||
description = "one item, too heavy" | ||
|
||
[833ea310-6323-44f2-9d27-a278740ffbd8] | ||
description = "five items (cannot be greedy by weight)" | ||
|
||
[277cdc52-f835-4c7d-872b-bff17bab2456] | ||
description = "five items (cannot be greedy by value)" | ||
|
||
[81d8e679-442b-4f7a-8a59-7278083916c9] | ||
description = "example knapsack" | ||
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||
[f23a2449-d67c-4c26-bf3e-cde020f27ecc] | ||
description = "8 items" | ||
|
||
[7c682ae9-c385-4241-a197-d2fa02c81a11] | ||
description = "15 items" |
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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: | ||
|
||
The above copyright notice and this permission notice shall be included in all | ||
copies or substantial portions of the Software. | ||
|
||
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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import { compileWat, WasmRunner } from "@exercism/wasm-lib"; | ||
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let wasmModule; | ||
let currentInstance; | ||
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beforeAll(async () => { | ||
try { | ||
const watPath = new URL("./knapsack.wat", import.meta.url); | ||
const { buffer } = await compileWat(watPath); | ||
wasmModule = await WebAssembly.compile(buffer); | ||
} catch (err) { | ||
console.log(`Error compiling *.wat: \n${err}`); | ||
process.exit(1); | ||
} | ||
}); | ||
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function findMaximumValue(items, capacity) { | ||
let data = currentInstance.get_mem_as_i32(0, items.length * 2); | ||
for (let i in items) { | ||
const index = i * 2; | ||
data[index] = items[i]["weight"]; | ||
data[index + 1] = items[i]["value"]; | ||
} | ||
return currentInstance.exports.maximumValue(items.length, capacity); | ||
} | ||
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describe("knapsack", () => { | ||
beforeEach(async () => { | ||
currentInstance = null; | ||
if (!wasmModule) { | ||
return Promise.reject(); | ||
} | ||
try { | ||
currentInstance = await new WasmRunner(wasmModule); | ||
return Promise.resolve(); | ||
} catch (err) { | ||
console.log(`Error instantiating WebAssembly module: ${err}`); | ||
return Promise.reject(); | ||
} | ||
}); | ||
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test("no items", () => { | ||
expect(findMaximumValue([], 100)).toEqual(0); | ||
}); | ||
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xtest("one item, too heavy", () => { | ||
const items = [{ "weight": 100, "value": 1 }]; | ||
expect(findMaximumValue(items, 10)).toEqual(0); | ||
}); | ||
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xtest("five items (cannot be greedy by weight)", () => { | ||
const items = [ | ||
{ "weight": 2, "value": 5 }, | ||
{ "weight": 2, "value": 5 }, | ||
{ "weight": 2, "value": 5 }, | ||
{ "weight": 2, "value": 5 }, | ||
{ "weight": 10, "value": 21 } | ||
]; | ||
expect(findMaximumValue(items, 10)).toEqual(21); | ||
}); | ||
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xtest("five items (cannot be greedy by value)", () => { | ||
const items = [ | ||
{ "weight": 2, "value": 20 }, | ||
{ "weight": 2, "value": 20 }, | ||
{ "weight": 2, "value": 20 }, | ||
{ "weight": 2, "value": 20 }, | ||
{ "weight": 10, "value": 50 } | ||
]; | ||
expect(findMaximumValue(items, 10)).toEqual(80); | ||
}); | ||
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xtest("example knapsack", () => { | ||
const items = [ | ||
{ "weight": 5, "value": 10 }, | ||
{ "weight": 4, "value": 40 }, | ||
{ "weight": 6, "value": 30 }, | ||
{ "weight": 4, "value": 50 } | ||
]; | ||
expect(findMaximumValue(items, 10)).toEqual(90); | ||
}); | ||
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xtest("8 items", () => { | ||
const items = [ | ||
{ "weight": 25, "value": 350 }, | ||
{ "weight": 35, "value": 400 }, | ||
{ "weight": 45, "value": 450 }, | ||
{ "weight": 5, "value": 20 }, | ||
{ "weight": 25, "value": 70 }, | ||
{ "weight": 3, "value": 8 }, | ||
{ "weight": 2, "value": 5 }, | ||
{ "weight": 2, "value": 5 } | ||
]; | ||
expect(findMaximumValue(items, 104)).toEqual(900); | ||
}); | ||
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xtest("15 items", () => { | ||
const items = [ | ||
{ "weight": 70, "value": 135 }, | ||
{ "weight": 73, "value": 139 }, | ||
{ "weight": 77, "value": 149 }, | ||
{ "weight": 80, "value": 150 }, | ||
{ "weight": 82, "value": 156 }, | ||
{ "weight": 87, "value": 163 }, | ||
{ "weight": 90, "value": 173 }, | ||
{ "weight": 94, "value": 184 }, | ||
{ "weight": 98, "value": 192 }, | ||
{ "weight": 106, "value": 201 }, | ||
{ "weight": 110, "value": 210 }, | ||
{ "weight": 113, "value": 214 }, | ||
{ "weight": 115, "value": 221 }, | ||
{ "weight": 118, "value": 229 }, | ||
{ "weight": 120, "value": 240 } | ||
]; | ||
expect(findMaximumValue(items, 750)).toEqual(1458); | ||
}); | ||
}); |
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(module | ||
(memory (export "mem") 1) | ||
|
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;; Determine the maximum total value that can be carried | ||
;; | ||
;; @param {i32} itemsCount - The number of items | ||
;; @param {i32} capacity - How much weight the knapsack can carry | ||
;; @returns {i32} the maximum value | ||
;; | ||
(func (export "maximumValue") (param $itemsCount i32) (param $capacity i32) (result i32) | ||
;; Please implement the maximumValue function. | ||
(return (i32.const 0)) | ||
) | ||
) |
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