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# Instructions | ||
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Given any two lists `A` and `B`, determine if: | ||
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- List `A` is equal to list `B`; or | ||
- List `A` contains list `B` (`A` is a superlist of `B`); or | ||
- List `A` is contained by list `B` (`A` is a sublist of `B`); or | ||
- None of the above is true, thus lists `A` and `B` are unequal | ||
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Specifically, list `A` is equal to list `B` if both lists have the same values in the same order. | ||
List `A` is a superlist of `B` if `A` contains a sub-sequence of values equal to `B`. | ||
List `A` is a sublist of `B` if `B` contains a sub-sequence of values equal to `A`. | ||
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Examples: | ||
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- If `A = []` and `B = []` (both lists are empty), then `A` and `B` are equal | ||
- If `A = [1, 2, 3]` and `B = []`, then `A` is a superlist of `B` | ||
- If `A = []` and `B = [1, 2, 3]`, then `A` is a sublist of `B` | ||
- If `A = [1, 2, 3]` and `B = [1, 2, 3, 4, 5]`, then `A` is a sublist of `B` | ||
- If `A = [3, 4, 5]` and `B = [1, 2, 3, 4, 5]`, then `A` is a sublist of `B` | ||
- If `A = [3, 4]` and `B = [1, 2, 3, 4, 5]`, then `A` is a sublist of `B` | ||
- If `A = [1, 2, 3]` and `B = [1, 2, 3]`, then `A` and `B` are equal | ||
- If `A = [1, 2, 3, 4, 5]` and `B = [2, 3, 4]`, then `A` is a superlist of `B` | ||
- If `A = [1, 2, 4]` and `B = [1, 2, 3, 4, 5]`, then `A` and `B` are unequal | ||
- If `A = [1, 2, 3]` and `B = [1, 3, 2]`, then `A` and `B` are unequal |
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{ | ||
"authors": [ | ||
"keiravillekode" | ||
], | ||
"files": { | ||
"solution": [ | ||
"sublist.sml" | ||
], | ||
"test": [ | ||
"test.sml" | ||
], | ||
"example": [ | ||
".meta/example.sml" | ||
] | ||
}, | ||
"blurb": "Write a function to determine if a list is a sublist of another list." | ||
} |
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datatype relation = | ||
Equal | ||
| Superlist | ||
| Sublist | ||
| Unequal | ||
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local | ||
fun isSublist (listOne: int list, listTwo: int list): bool = | ||
if length listTwo < length listOne then false | ||
else if listOne = List.take (listTwo, length listOne) then true | ||
else isSublist (listOne, tl listTwo) | ||
in | ||
fun sublist (listOne: int list, listTwo: int list): relation = | ||
if listOne = listTwo then Equal | ||
else if isSublist(listOne, listTwo) then Sublist | ||
else if isSublist(listTwo, listOne) then Superlist | ||
else Unequal | ||
end |
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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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[97319c93-ebc5-47ab-a022-02a1980e1d29] | ||
description = "empty lists" | ||
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[de27dbd4-df52-46fe-a336-30be58457382] | ||
description = "empty list within non empty list" | ||
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[5487cfd1-bc7d-429f-ac6f-1177b857d4fb] | ||
description = "non empty list contains empty list" | ||
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[1f390b47-f6b2-4a93-bc23-858ba5dda9a6] | ||
description = "list equals itself" | ||
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[7ed2bfb2-922b-4363-ae75-f3a05e8274f5] | ||
description = "different lists" | ||
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[3b8a2568-6144-4f06-b0a1-9d266b365341] | ||
description = "false start" | ||
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[dc39ed58-6311-4814-be30-05a64bc8d9b1] | ||
description = "consecutive" | ||
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[d1270dab-a1ce-41aa-b29d-b3257241ac26] | ||
description = "sublist at start" | ||
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[81f3d3f7-4f25-4ada-bcdc-897c403de1b6] | ||
description = "sublist in middle" | ||
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[43bcae1e-a9cf-470e-923e-0946e04d8fdd] | ||
description = "sublist at end" | ||
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[76cf99ed-0ff0-4b00-94af-4dfb43fe5caa] | ||
description = "at start of superlist" | ||
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[b83989ec-8bdf-4655-95aa-9f38f3e357fd] | ||
description = "in middle of superlist" | ||
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[26f9f7c3-6cf6-4610-984a-662f71f8689b] | ||
description = "at end of superlist" | ||
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[0a6db763-3588-416a-8f47-76b1cedde31e] | ||
description = "first list missing element from second list" | ||
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[83ffe6d8-a445-4a3c-8795-1e51a95e65c3] | ||
description = "second list missing element from first list" | ||
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[7bc76cb8-5003-49ca-bc47-cdfbe6c2bb89] | ||
description = "first list missing additional digits from second list" | ||
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[0d7ee7c1-0347-45c8-9ef5-b88db152b30b] | ||
description = "order matters to a list" | ||
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[5f47ce86-944e-40f9-9f31-6368aad70aa6] | ||
description = "same digits but different numbers" |
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datatype relation = | ||
Equal | ||
| Superlist | ||
| Sublist | ||
| Unequal | ||
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fun sublist (listOne: int list, listTwo: int list): relation = | ||
raise Fail "'sublist' is not implemented" |
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(* version 1.0.0 *) | ||
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use "testlib.sml"; | ||
use "sublist.sml"; | ||
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infixr |> | ||
fun x |> f = f x | ||
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val testsuite = | ||
describe "sublist" [ | ||
test "empty lists" | ||
(fn _ => let | ||
val listOne = [] | ||
val listTwo = [] | ||
in | ||
sublist (listOne, listTwo) |> Expect.equalTo Equal | ||
end), | ||
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test "empty list within non empty list" | ||
(fn _ => let | ||
val listOne = [] | ||
val listTwo = [1, 2, 3] | ||
in | ||
sublist (listOne, listTwo) |> Expect.equalTo Sublist | ||
end), | ||
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test "non empty list contains empty list" | ||
(fn _ => let | ||
val listOne = [1, 2, 3] | ||
val listTwo = [] | ||
in | ||
sublist (listOne, listTwo) |> Expect.equalTo Superlist | ||
end), | ||
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test "list equals itself" | ||
(fn _ => let | ||
val listOne = [1, 2, 3] | ||
val listTwo = [1, 2, 3] | ||
in | ||
sublist (listOne, listTwo) |> Expect.equalTo Equal | ||
end), | ||
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test "different lists" | ||
(fn _ => let | ||
val listOne = [1, 2, 3] | ||
val listTwo = [2, 3, 4] | ||
in | ||
sublist (listOne, listTwo) |> Expect.equalTo Unequal | ||
end), | ||
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test "false start" | ||
(fn _ => let | ||
val listOne = [1, 2, 5] | ||
val listTwo = [0, 1, 2, 3, 1, 2, 5, 6] | ||
in | ||
sublist (listOne, listTwo) |> Expect.equalTo Sublist | ||
end), | ||
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test "consecutive" | ||
(fn _ => let | ||
val listOne = [1, 1, 2] | ||
val listTwo = [0, 1, 1, 1, 2, 1, 2] | ||
in | ||
sublist (listOne, listTwo) |> Expect.equalTo Sublist | ||
end), | ||
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test "sublist at start" | ||
(fn _ => let | ||
val listOne = [0, 1, 2] | ||
val listTwo = [0, 1, 2, 3, 4, 5] | ||
in | ||
sublist (listOne, listTwo) |> Expect.equalTo Sublist | ||
end), | ||
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test "sublist in middle" | ||
(fn _ => let | ||
val listOne = [2, 3, 4] | ||
val listTwo = [0, 1, 2, 3, 4, 5] | ||
in | ||
sublist (listOne, listTwo) |> Expect.equalTo Sublist | ||
end), | ||
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test "sublist at end" | ||
(fn _ => let | ||
val listOne = [3, 4, 5] | ||
val listTwo = [0, 1, 2, 3, 4, 5] | ||
in | ||
sublist (listOne, listTwo) |> Expect.equalTo Sublist | ||
end), | ||
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test "at start of superlist" | ||
(fn _ => let | ||
val listOne = [0, 1, 2, 3, 4, 5] | ||
val listTwo = [0, 1, 2] | ||
in | ||
sublist (listOne, listTwo) |> Expect.equalTo Superlist | ||
end), | ||
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test "in middle of superlist" | ||
(fn _ => let | ||
val listOne = [0, 1, 2, 3, 4, 5] | ||
val listTwo = [2, 3] | ||
in | ||
sublist (listOne, listTwo) |> Expect.equalTo Superlist | ||
end), | ||
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test "at end of superlist" | ||
(fn _ => let | ||
val listOne = [0, 1, 2, 3, 4, 5] | ||
val listTwo = [3, 4, 5] | ||
in | ||
sublist (listOne, listTwo) |> Expect.equalTo Superlist | ||
end), | ||
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test "first list missing element from second list" | ||
(fn _ => let | ||
val listOne = [1, 3] | ||
val listTwo = [1, 2, 3] | ||
in | ||
sublist (listOne, listTwo) |> Expect.equalTo Unequal | ||
end), | ||
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test "second list missing element from first list" | ||
(fn _ => let | ||
val listOne = [1, 2, 3] | ||
val listTwo = [1, 3] | ||
in | ||
sublist (listOne, listTwo) |> Expect.equalTo Unequal | ||
end), | ||
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test "first list missing additional digits from second list" | ||
(fn _ => let | ||
val listOne = [1, 2] | ||
val listTwo = [1, 22] | ||
in | ||
sublist (listOne, listTwo) |> Expect.equalTo Unequal | ||
end), | ||
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test "order matters to a list" | ||
(fn _ => let | ||
val listOne = [1, 2, 3] | ||
val listTwo = [3, 2, 1] | ||
in | ||
sublist (listOne, listTwo) |> Expect.equalTo Unequal | ||
end), | ||
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test "same digits but different numbers" | ||
(fn _ => let | ||
val listOne = [1, 0, 1] | ||
val listTwo = [10, 1] | ||
in | ||
sublist (listOne, listTwo) |> Expect.equalTo Unequal | ||
end) | ||
] | ||
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val _ = Test.run testsuite |
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