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# Instructions | ||
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Correctly determine the fewest number of coins to be given to a customer such that the sum of the coins' value would equal the correct amount of change. | ||
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## For example | ||
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- An input of 15 with [1, 5, 10, 25, 100] should return one nickel (5) and one dime (10) or [5, 10] | ||
- An input of 40 with [1, 5, 10, 25, 100] should return one nickel (5) and one dime (10) and one quarter (25) or [5, 10, 25] | ||
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## Edge cases | ||
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- Does your algorithm work for any given set of coins? | ||
- Can you ask for negative change? | ||
- Can you ask for a change value smaller than the smallest coin value? |
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module [findFewestCoins] | ||
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findFewestCoins : List U64, U64 -> Result (List U64) [NotFound] | ||
findFewestCoins = \coins, target -> | ||
help = \sortedCoins, subTarget, maxLength -> | ||
if subTarget == 0 then | ||
Ok [] | ||
else if maxLength == 0 then | ||
Err NotFound | ||
else | ||
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when sortedCoins is | ||
[] -> Err NotFound | ||
[largestCoin, .. as otherCoins] -> | ||
if largestCoin == subTarget then | ||
Ok [largestCoin] | ||
else if largestCoin < subTarget then | ||
when help sortedCoins (subTarget - largestCoin) (maxLength - 1) is | ||
Ok otherCoinsWith -> | ||
coinsWith = otherCoinsWith |> List.append largestCoin | ||
when help otherCoins subTarget (List.len coinsWith - 1) is | ||
Ok coinsWithout -> Ok coinsWithout | ||
Err NotFound -> Ok coinsWith | ||
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Err NotFound -> help otherCoins subTarget maxLength | ||
else | ||
help otherCoins subTarget maxLength | ||
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help? (coins |> List.sortDesc) target Num.maxU64 | ||
|> List.sortAsc | ||
|> Ok | ||
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{ | ||
"authors": [ | ||
"ageron" | ||
], | ||
"files": { | ||
"solution": [ | ||
"Change.roc" | ||
], | ||
"test": [ | ||
"change-test.roc" | ||
], | ||
"example": [ | ||
".meta/Example.roc" | ||
] | ||
}, | ||
"blurb": "Correctly determine change to be given using the least number of coins.", | ||
"source": "Software Craftsmanship - Coin Change Kata", | ||
"source_url": "https://web.archive.org/web/20130115115225/http://craftsmanship.sv.cmu.edu:80/exercises/coin-change-kata" | ||
} |
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{%- import "generator_macros.j2" as macros with context -%} | ||
{{ macros.canonical_ref() }} | ||
{{ macros.header() }} | ||
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import {{ exercise | to_pascal }} exposing [{{ cases[0]["property"] | to_camel }}] | ||
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{% for case in cases -%} | ||
# {{ case["description"] }} | ||
expect | ||
coins = {{ case["input"]["coins"] | to_roc }} | ||
result = coins |> {{ case["property"] | to_camel }} {{ case["input"]["target"] }} | ||
{%- if case["expected"]["error"] %} | ||
result |> Result.isErr | ||
{%- else %} | ||
result == Ok {{ case["expected"] | to_roc }} | ||
{%- endif %} | ||
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{% endfor %} |
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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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[d0ebd0e1-9d27-4609-a654-df5c0ba1d83a] | ||
description = "change for 1 cent" | ||
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[36887bea-7f92-4a9c-b0cc-c0e886b3ecc8] | ||
description = "single coin change" | ||
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[cef21ccc-0811-4e6e-af44-f011e7eab6c6] | ||
description = "multiple coin change" | ||
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[d60952bc-0c1a-4571-bf0c-41be72690cb3] | ||
description = "change with Lilliputian Coins" | ||
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[408390b9-fafa-4bb9-b608-ffe6036edb6c] | ||
description = "change with Lower Elbonia Coins" | ||
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[7421a4cb-1c48-4bf9-99c7-7f049689132f] | ||
description = "large target values" | ||
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[f79d2e9b-0ae3-4d6a-bb58-dc978b0dba28] | ||
description = "possible change without unit coins available" | ||
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[9a166411-d35d-4f7f-a007-6724ac266178] | ||
description = "another possible change without unit coins available" | ||
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[ce0f80d5-51c3-469d-818c-3e69dbd25f75] | ||
description = "a greedy approach is not optimal" | ||
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[bbbcc154-e9e9-4209-a4db-dd6d81ec26bb] | ||
description = "no coins make 0 change" | ||
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[c8b81d5a-49bd-4b61-af73-8ee5383a2ce1] | ||
description = "error testing for change smaller than the smallest of coins" | ||
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[3c43e3e4-63f9-46ac-9476-a67516e98f68] | ||
description = "error if no combination can add up to target" | ||
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[8fe1f076-9b2d-4f44-89fe-8a6ccd63c8f3] | ||
description = "cannot find negative change values" | ||
include = false |
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module [findFewestCoins] | ||
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findFewestCoins : List U64, U64 -> Result (List U64) _ | ||
findFewestCoins = \coins, target -> | ||
crash "Please implement the 'findFewestCoins' function" |
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# These tests are auto-generated with test data from: | ||
# https://github.com/exercism/problem-specifications/tree/main/exercises/change/canonical-data.json | ||
# File last updated on 2024-10-08 | ||
app [main] { | ||
pf: platform "https://github.com/roc-lang/basic-cli/releases/download/0.15.0/SlwdbJ-3GR7uBWQo6zlmYWNYOxnvo8r6YABXD-45UOw.tar.br", | ||
} | ||
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main = | ||
Task.ok {} | ||
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import Change exposing [findFewestCoins] | ||
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# change for 1 cent | ||
expect | ||
coins = [1, 5, 10, 25] | ||
result = coins |> findFewestCoins 1 | ||
result == Ok [1] | ||
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# single coin change | ||
expect | ||
coins = [1, 5, 10, 25, 100] | ||
result = coins |> findFewestCoins 25 | ||
result == Ok [25] | ||
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# multiple coin change | ||
expect | ||
coins = [1, 5, 10, 25, 100] | ||
result = coins |> findFewestCoins 15 | ||
result == Ok [5, 10] | ||
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# change with Lilliputian Coins | ||
expect | ||
coins = [1, 4, 15, 20, 50] | ||
result = coins |> findFewestCoins 23 | ||
result == Ok [4, 4, 15] | ||
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# change with Lower Elbonia Coins | ||
expect | ||
coins = [1, 5, 10, 21, 25] | ||
result = coins |> findFewestCoins 63 | ||
result == Ok [21, 21, 21] | ||
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# large target values | ||
expect | ||
coins = [1, 2, 5, 10, 20, 50, 100] | ||
result = coins |> findFewestCoins 999 | ||
result == Ok [2, 2, 5, 20, 20, 50, 100, 100, 100, 100, 100, 100, 100, 100, 100] | ||
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# possible change without unit coins available | ||
expect | ||
coins = [2, 5, 10, 20, 50] | ||
result = coins |> findFewestCoins 21 | ||
result == Ok [2, 2, 2, 5, 10] | ||
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# another possible change without unit coins available | ||
expect | ||
coins = [4, 5] | ||
result = coins |> findFewestCoins 27 | ||
result == Ok [4, 4, 4, 5, 5, 5] | ||
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# a greedy approach is not optimal | ||
expect | ||
coins = [1, 10, 11] | ||
result = coins |> findFewestCoins 20 | ||
result == Ok [10, 10] | ||
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# no coins make 0 change | ||
expect | ||
coins = [1, 5, 10, 21, 25] | ||
result = coins |> findFewestCoins 0 | ||
result == Ok [] | ||
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# error testing for change smaller than the smallest of coins | ||
expect | ||
coins = [5, 10] | ||
result = coins |> findFewestCoins 3 | ||
result |> Result.isErr | ||
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# error if no combination can add up to target | ||
expect | ||
coins = [5, 10] | ||
result = coins |> findFewestCoins 94 | ||
result |> Result.isErr | ||
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