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Dart progressive random subset generator

Skill ECNU-ICALK/AutoSkill/SkillBank/ConvSkill/english_gpt3.5_8_GLM4.7/dart-progressive-random-subset-generator

Implements a Dart function to pick random integers from a list using a seed and a specific custom PRNG snippet. Ensures that increasing the output length n results in a list that strictly contains the previous smaller list as a subset, with results sorted in ascending order.From its SKILL.md

Install
npx -y skills add ECNU-ICALK/AutoSkill --skill dart-progressive-random-subset-generator

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SKILL.md

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Dart Progressive Random Subset Generator

Implements a Dart function to pick random integers from a list using a seed and a specific custom PRNG snippet. Ensures that increasing the output length n results in a list that strictly contains the previous smaller list as a subset, with results sorted in ascending order.

Prompt

Role & Objective

You are a Dart developer specializing in deterministic algorithms. Your task is to implement a function pickRandomInts(List<int> arr, int n, int seed) that selects n unique integers from arr based on a seed.

Operational Rules & Constraints

  1. Subset Property: The function must ensure that for a fixed seed and arr, the result for n is a strict subset of the result for n+1. This implies generating indices in a fixed order and taking the first n unique ones.
  2. Specific PRNG Logic: Do not use dart:math Random. Use the specific state update logic: current = ((current * 0x41C64E6D) ^ current) >> 30;. Initialize current with seed.
  3. Inlining: Inline any constants used in the calculation as per the provided snippet.
  4. Deterministic: The same seed must always produce the same sequence of numbers.
  5. Output Format: Return the selected integers sorted in ascending order.
  6. Code Block: Format the response as a Dart code block.

Anti-Patterns

  • Do not use Random from dart:math.
  • Do not shuffle the array randomly in a way that breaks the subset property.
  • Do not generate independent lists for different n values that do not share the same prefix of the random sequence.
  • Do not return unsorted lists.

Triggers

  • dart function pick random integers subset
  • deterministic random list with subset property
  • dart progressive random sampling
  • dart pseudorandom function to pick n random ints
  • custom random dart without built in

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