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[variable-length-quantity] Add new practice exercise (#188)
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‎config.json‎

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"practices": [],
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"prerequisites": [],
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"difficulty": 5
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},
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{
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"slug": "variable-length-quantity",
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"name": "Variable Length Quantity",
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"uuid": "ca7d4adf-e639-476f-84e5-6a98d6a4e000",
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"practices": [],
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"prerequisites": [],
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"difficulty": 6
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}
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]
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},
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# Instructions
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Implement variable length quantity encoding and decoding.
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The goal of this exercise is to implement [VLQ][vlq] encoding/decoding.
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In short, the goal of this encoding is to encode integer values in a way that would save bytes.
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Only the first 7 bits of each byte are significant (right-justified; sort of like an ASCII byte).
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So, if you have a 32-bit value, you have to unpack it into a series of 7-bit bytes.
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Of course, you will have a variable number of bytes depending upon your integer.
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To indicate which is the last byte of the series, you leave bit #7 clear.
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In all of the preceding bytes, you set bit #7.
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So, if an integer is between `0-127`, it can be represented as one byte.
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Although VLQ can deal with numbers of arbitrary sizes, for this exercise we will restrict ourselves to only numbers that fit in a 32-bit unsigned integer.
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Here are examples of integers as 32-bit values, and the variable length quantities that they translate to:
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```text
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NUMBER VARIABLE QUANTITY
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00000000 00
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00000040 40
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0000007F 7F
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00000080 81 00
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00002000 C0 00
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00003FFF FF 7F
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00004000 81 80 00
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00100000 C0 80 00
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001FFFFF FF FF 7F
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00200000 81 80 80 00
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08000000 C0 80 80 00
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0FFFFFFF FF FF FF 7F
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```
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[vlq]: https://en.wikipedia.org/wiki/Variable-length_quantity
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{
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"authors": [
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"IsaacG"
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],
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"files": {
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"solution": [
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"variable_length_quantity.gd"
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],
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"test": [
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"variable_length_quantity_test.gd",
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"run_tests",
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"lib/test_runner.gd"
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],
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"example": [
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".meta/example.gd"
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]
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},
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"blurb": "Implement variable length quantity encoding and decoding.",
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"source": "A poor Splice developer having to implement MIDI encoding/decoding.",
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"source_url": "https://splice.com"
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}
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# Bit indicating there are more chunks to this number.
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const MORE = 0b10000000
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# Mask used to access the number part of this chunk.
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const MASK = 0b01111111
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func encode(numbers: Array) -> Array:
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"""Encode numbers."""
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var results = []
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for number in numbers:
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var encoded: Array = []
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while number > 0:
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# Set the MORE bit on all chunks.
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encoded.append(MORE | (number & MASK))
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number >>= 7
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if not encoded:
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encoded.append(0)
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# Unset MORE on the last chunk.
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encoded[0] &= MASK
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encoded.reverse()
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for i in encoded:
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results.append(i)
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return results
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func decode(encoded: Array):
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"""Decode numbers."""
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if encoded[-1] & MORE:
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return null
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var decoded: Array = []
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var num = 0
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for chunk in encoded:
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num = (num << 7) | (chunk & MASK)
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if not chunk & MORE:
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decoded.append(num)
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num = 0
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return decoded
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{% for case in cases %}
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func test_{{ case.func_name }}(solution_script):
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{%- if not case.expect_error %}
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var want = {{ case.expected }}
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{% else %}
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var want = null
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{% endif %}
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var input = {{ case.given | togdscript }}
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var got = solution_script.{{ case.property | camel_to_snake }}(input)
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return [got, want]
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{% endfor %}
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# This is an auto-generated file.
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#
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# Regenerating this file via `configlet sync` will:
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# - Recreate every `description` key/value pair
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# - Recreate every `reimplements` key/value pair, where they exist in problem-specifications
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# - Remove any `include = true` key/value pair (an omitted `include` key implies inclusion)
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# - Preserve any other key/value pair
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#
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# As user-added comments (using the # character) will be removed when this file
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# is regenerated, comments can be added via a `comment` key.
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[35c9db2e-f781-4c52-b73b-8e76427defd0]
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description = "Encode a series of integers, producing a series of bytes. -> zero"
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[be44d299-a151-4604-a10e-d4b867f41540]
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description = "Encode a series of integers, producing a series of bytes. -> arbitrary single byte"
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[890bc344-cb80-45af-b316-6806a6971e81]
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description = "Encode a series of integers, producing a series of bytes. -> asymmetric single byte"
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[ea399615-d274-4af6-bbef-a1c23c9e1346]
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description = "Encode a series of integers, producing a series of bytes. -> largest single byte"
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[77b07086-bd3f-4882-8476-8dcafee79b1c]
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description = "Encode a series of integers, producing a series of bytes. -> smallest double byte"
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[63955a49-2690-4e22-a556-0040648d6b2d]
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description = "Encode a series of integers, producing a series of bytes. -> arbitrary double byte"
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[4977d113-251b-4d10-a3ad-2f5a7756bb58]
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description = "Encode a series of integers, producing a series of bytes. -> asymmetric double byte"
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[29da7031-0067-43d3-83a7-4f14b29ed97a]
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description = "Encode a series of integers, producing a series of bytes. -> largest double byte"
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[3345d2e3-79a9-4999-869e-d4856e3a8e01]
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description = "Encode a series of integers, producing a series of bytes. -> smallest triple byte"
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[5df0bc2d-2a57-4300-a653-a75ee4bd0bee]
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description = "Encode a series of integers, producing a series of bytes. -> arbitrary triple byte"
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[6731045f-1e00-4192-b5ae-98b22e17e9f7]
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description = "Encode a series of integers, producing a series of bytes. -> asymmetric triple byte"
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[f51d8539-312d-4db1-945c-250222c6aa22]
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description = "Encode a series of integers, producing a series of bytes. -> largest triple byte"
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[da78228b-544f-47b7-8bfe-d16b35bbe570]
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description = "Encode a series of integers, producing a series of bytes. -> smallest quadruple byte"
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[11ed3469-a933-46f1-996f-2231e05d7bb6]
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description = "Encode a series of integers, producing a series of bytes. -> arbitrary quadruple byte"
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[b45ef770-cbba-48c2-bd3c-c6362679516e]
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description = "Encode a series of integers, producing a series of bytes. -> asymmetric quadruple byte"
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[d5f3f3c3-e0f1-4e7f-aad0-18a44f223d1c]
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description = "Encode a series of integers, producing a series of bytes. -> largest quadruple byte"
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[91a18b33-24e7-4bfb-bbca-eca78ff4fc47]
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description = "Encode a series of integers, producing a series of bytes. -> smallest quintuple byte"
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[5f34ff12-2952-4669-95fe-2d11b693d331]
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description = "Encode a series of integers, producing a series of bytes. -> arbitrary quintuple byte"
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[9be46731-7cd5-415c-b960-48061cbc1154]
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description = "Encode a series of integers, producing a series of bytes. -> asymmetric quintuple byte"
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[7489694b-88c3-4078-9864-6fe802411009]
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description = "Encode a series of integers, producing a series of bytes. -> maximum 32-bit integer input"
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[f9b91821-cada-4a73-9421-3c81d6ff3661]
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description = "Encode a series of integers, producing a series of bytes. -> two single-byte values"
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[68694449-25d2-4974-ba75-fa7bb36db212]
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description = "Encode a series of integers, producing a series of bytes. -> two multi-byte values"
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[51a06b5c-de1b-4487-9a50-9db1b8930d85]
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description = "Encode a series of integers, producing a series of bytes. -> many multi-byte values"
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[baa73993-4514-4915-bac0-f7f585e0e59a]
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description = "Decode a series of bytes, producing a series of integers. -> one byte"
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[72e94369-29f9-46f2-8c95-6c5b7a595aee]
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description = "Decode a series of bytes, producing a series of integers. -> two bytes"
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[df5a44c4-56f7-464e-a997-1db5f63ce691]
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description = "Decode a series of bytes, producing a series of integers. -> three bytes"
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[1bb58684-f2dc-450a-8406-1f3452aa1947]
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description = "Decode a series of bytes, producing a series of integers. -> four bytes"
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[cecd5233-49f1-4dd1-a41a-9840a40f09cd]
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description = "Decode a series of bytes, producing a series of integers. -> maximum 32-bit integer"
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[e7d74ba3-8b8e-4bcb-858d-d08302e15695]
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description = "Decode a series of bytes, producing a series of integers. -> incomplete sequence causes error"
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[aa378291-9043-4724-bc53-aca1b4a3fcb6]
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description = "Decode a series of bytes, producing a series of integers. -> incomplete sequence causes error, even if value is zero"
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[a91e6f5a-c64a-48e3-8a75-ce1a81e0ebee]
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description = "Decode a series of bytes, producing a series of integers. -> multiple values"

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