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ErikSchierboom committed Dec 14, 2024
2 parents ffef25b + d4180fc commit d9fb0ad
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39 changes: 39 additions & 0 deletions config.json
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"prerequisites": [],
"difficulty": 5
},
{
"slug": "diffie-hellman",
"name": "Diffie-Hellman",
"uuid": "b11e4b1a-09f7-4f10-83da-46cde3aed5b8",
"practices": [],
"prerequisites": [],
"difficulty": 5
},
{
"slug": "etl",
"name": "ETL",
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"prerequisites": [],
"difficulty": 6
},
{
"slug": "knapsack",
"name": "Knapsack",
"uuid": "87922ec1-b30a-47ea-8c37-fdeb1b86b209",
"practices": [],
"prerequisites": [],
"difficulty": 6
},
{
"slug": "parallel-letter-frequency",
"name": "Parallel Letter Frequency",
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"prerequisites": [],
"difficulty": 7
},
{
"slug": "all-your-base",
"name": "All Your Base",
"uuid": "c4f16cf6-9f80-4d3a-bdad-c434483fc120",
"practices": [],
"prerequisites": [],
"difficulty": 7
},
{
"slug": "saddle-points",
"name": "Saddle Points",
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"prerequisites": [],
"difficulty": 9
}
],
"foregone": [
"bank-account",
"binary-search-tree",
"complex-numbers",
"custom-set",
"dot-dsl",
"error-handling",
"hangman",
"lens-person",
"linked-list",
"paasio",
"react",
"simple-linked-list",
"tree-building"
]
},
"key_features": [
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28 changes: 28 additions & 0 deletions exercises/practice/all-your-base/.docs/instructions.md
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# Instructions

Convert a sequence of digits in one base, representing a number, into a sequence of digits in another base, representing the same number.

~~~~exercism/note
Try to implement the conversion yourself.
Do not use something else to perform the conversion for you.
~~~~

## About [Positional Notation][positional-notation]

In positional notation, a number in base **b** can be understood as a linear combination of powers of **b**.

The number 42, _in base 10_, means:

`(4 × 10¹) + (2 × 10⁰)`

The number 101010, _in base 2_, means:

`(1 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (0 × 2²) + (1 × 2¹) + (0 × 2⁰)`

The number 1120, _in base 3_, means:

`(1 × 3³) + (1 × 3²) + (2 × 3¹) + (0 × 3⁰)`

_Yes. Those three numbers above are exactly the same. Congratulations!_

[positional-notation]: https://en.wikipedia.org/wiki/Positional_notation
8 changes: 8 additions & 0 deletions exercises/practice/all-your-base/.docs/introduction.md
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# Introduction

You've just been hired as professor of mathematics.
Your first week went well, but something is off in your second week.
The problem is that every answer given by your students is wrong!
Luckily, your math skills have allowed you to identify the problem: the student answers _are_ correct, but they're all in base 2 (binary)!
Amazingly, it turns out that each week, the students use a different base.
To help you quickly verify the student answers, you'll be building a tool to translate between bases.
17 changes: 17 additions & 0 deletions exercises/practice/all-your-base/.meta/config.json
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{
"authors": [
"erikschierboom"
],
"files": {
"solution": [
"all-your-base.ua"
],
"test": [
"tests.ua"
],
"example": [
".meta/example.ua"
]
},
"blurb": "Convert a number, represented as a sequence of digits in one base, to any other base."
}
9 changes: 9 additions & 0 deletions exercises/practice/all-your-base/.meta/example.ua
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ValidBases ← (
⍤"input base must be >= 2"≥2
⍤"output base must be >= 2"≥2
)
ValidDigits ← ⍤"all digits must satisfy 0 <= d < input base" /×↧⊃(≥0|<:)
Valid ← ⊃(ValidDigits|⋅ValidBases)
FromInput ← /+×ⁿ:⊙(⇌°⊏):
ToOutput ← ⨬([0]|◿:⌊÷⊸⊃(ⁿ⊙⋅∘|⋅∘)◡(⇌⇡+1⌊ₙ:))±.
Rebase ← ToOutput FromInput ◡Valid
73 changes: 73 additions & 0 deletions exercises/practice/all-your-base/.meta/tests.toml
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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.

[5ce422f9-7a4b-4f44-ad29-49c67cb32d2c]
description = "single bit one to decimal"

[0cc3fea8-bb79-46ac-a2ab-5a2c93051033]
description = "binary to single decimal"

[f12db0f9-0d3d-42c2-b3ba-e38cb375a2b8]
description = "single decimal to binary"

[2c45cf54-6da3-4748-9733-5a3c765d925b]
description = "binary to multiple decimal"

[65ddb8b4-8899-4fcc-8618-181b2cf0002d]
description = "decimal to binary"

[8d418419-02a7-4824-8b7a-352d33c6987e]
description = "trinary to hexadecimal"

[d3901c80-8190-41b9-bd86-38d988efa956]
description = "hexadecimal to trinary"

[5d42f85e-21ad-41bd-b9be-a3e8e4258bbf]
description = "15-bit integer"

[d68788f7-66dd-43f8-a543-f15b6d233f83]
description = "empty list"

[5e27e8da-5862-4c5f-b2a9-26c0382b6be7]
description = "single zero"

[2e1c2573-77e4-4b9c-8517-6c56c5bcfdf2]
description = "multiple zeros"

[3530cd9f-8d6d-43f5-bc6e-b30b1db9629b]
description = "leading zeros"

[a6b476a1-1901-4f2a-92c4-4d91917ae023]
description = "input base is one"

[e21a693a-7a69-450b-b393-27415c26a016]
description = "input base is zero"

[54a23be5-d99e-41cc-88e0-a650ffe5fcc2]
description = "input base is negative"

[9eccf60c-dcc9-407b-95d8-c37b8be56bb6]
description = "negative digit"

[232fa4a5-e761-4939-ba0c-ed046cd0676a]
description = "invalid positive digit"

[14238f95-45da-41dc-95ce-18f860b30ad3]
description = "output base is one"

[73dac367-da5c-4a37-95fe-c87fad0a4047]
description = "output base is zero"

[13f81f42-ff53-4e24-89d9-37603a48ebd9]
description = "output base is negative"

[0e6c895d-8a5d-4868-a345-309d094cfe8d]
description = "both bases are negative"
3 changes: 3 additions & 0 deletions exercises/practice/all-your-base/all-your-base.ua
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# Convert digits from base into another base
# Rebased ? Digits InputBase OutputBase
Rebase ← |3 ⊙⋅⋅(⍤ "Please implement Rebase" 0)
139 changes: 139 additions & 0 deletions exercises/practice/all-your-base/tests.ua
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~ "all-your-base.ua" ~ Rebase

# Single bit one to decimal
Digits ← [1]
InputBase ← 2
OutputBase ← 10
Expected ← [1]
⍤⤙≍ Expected Rebase Digits InputBase OutputBase

# Binary to single decimal
Digits ← [1 0 1]
InputBase ← 2
OutputBase ← 10
Expected ← [5]
⍤⤙≍ Expected Rebase Digits InputBase OutputBase

# Single decimal to binary
Digits ← [5]
InputBase ← 10
OutputBase ← 2
Expected ← [1 0 1]
⍤⤙≍ Expected Rebase Digits InputBase OutputBase

# Binary to multiple decimal
Digits ← [1 0 1 0 1 0]
InputBase ← 2
OutputBase ← 10
Expected ← [4 2]
⍤⤙≍ Expected Rebase Digits InputBase OutputBase

# Decimal to binary
Digits ← [4 2]
InputBase ← 10
OutputBase ← 2
Expected ← [1 0 1 0 1 0]
⍤⤙≍ Expected Rebase Digits InputBase OutputBase

# Trinary to hexadecimal
Digits ← [1 1 2 0]
InputBase ← 3
OutputBase ← 16
Expected ← [2 10]
⍤⤙≍ Expected Rebase Digits InputBase OutputBase

# Hexadecimal to trinary
Digits ← [2 10]
InputBase ← 16
OutputBase ← 3
Expected ← [1 1 2 0]
⍤⤙≍ Expected Rebase Digits InputBase OutputBase

# 15-bit integer
Digits ← [3 46 60]
InputBase ← 97
OutputBase ← 73
Expected ← [6 10 45]
⍤⤙≍ Expected Rebase Digits InputBase OutputBase

# Empty list
Digits ← []
InputBase ← 2
OutputBase ← 10
Expected ← [0]
⍤⤙≍ Expected Rebase Digits InputBase OutputBase

# Single zero
Digits ← [0]
InputBase ← 10
OutputBase ← 2
Expected ← [0]
⍤⤙≍ Expected Rebase Digits InputBase OutputBase

# Multiple zeros
Digits ← [0 0 0]
InputBase ← 10
OutputBase ← 2
Expected ← [0]
⍤⤙≍ Expected Rebase Digits InputBase OutputBase

# Leading zeros
Digits ← [0 6 0]
InputBase ← 7
OutputBase ← 10
Expected ← [4 2]
⍤⤙≍ Expected Rebase Digits InputBase OutputBase

# Input base is one
Digits ← [0]
InputBase ← 1
OutputBase ← 10
⍤⤙≍ "input base must be >= 2" ⍣(Rebase Digits InputBase OutputBase)

# Input base is zero
Digits ← []
InputBase ← 0
OutputBase ← 10
⍤⤙≍ "input base must be >= 2" ⍣(Rebase Digits InputBase OutputBase)

# Input base is negative
Digits ← [1]
InputBase ← ¯2
OutputBase ← 10
⍤⤙≍ "input base must be >= 2" ⍣(Rebase Digits InputBase OutputBase)

# Negative digit
Digits ← [1 ¯1 1 0 1 0]
InputBase ← 2
OutputBase ← 10
⍤⤙≍ "all digits must satisfy 0 <= d < input base" ⍣(Rebase Digits InputBase OutputBase)

# Invalid positive digit
Digits ← [1 2 1 0 1 0]
InputBase ← 2
OutputBase ← 10
⍤⤙≍ "all digits must satisfy 0 <= d < input base" ⍣(Rebase Digits InputBase OutputBase)

# Output base is one
Digits ← [1 0 1 0 1 0]
InputBase ← 2
OutputBase ← 1
⍤⤙≍ "output base must be >= 2" ⍣(Rebase Digits InputBase OutputBase)

# Output base is zero
Digits ← [7]
InputBase ← 10
OutputBase ← 0
⍤⤙≍ "output base must be >= 2" ⍣(Rebase Digits InputBase OutputBase)

# Output base is negative
Digits ← [1]
InputBase ← 2
OutputBase ← ¯7
⍤⤙≍ "output base must be >= 2" ⍣(Rebase Digits InputBase OutputBase)

# Both bases are negative
Digits ← [1]
InputBase ← ¯2
OutputBase ← ¯7
⍤⤙≍ "input base must be >= 2" ⍣(Rebase Digits InputBase OutputBase)
37 changes: 37 additions & 0 deletions exercises/practice/diffie-hellman/.docs/instructions.md
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# Instructions

Diffie-Hellman key exchange.

Alice and Bob use Diffie-Hellman key exchange to share secrets.
They start with prime numbers, pick private keys, generate and share public keys, and then generate a shared secret key.

## Step 0

The test program supplies prime numbers p and g.

## Step 1

Alice picks a private key, a, greater than 1 and less than p.
Bob does the same to pick a private key b.

## Step 2

Alice calculates a public key A.

A = gᵃ mod p

Using the same p and g, Bob similarly calculates a public key B from his private key b.

## Step 3

Alice and Bob exchange public keys.
Alice calculates secret key s.

s = Bᵃ mod p

Bob calculates

s = Aᵇ mod p

The calculations produce the same result!
Alice and Bob now share secret s.
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