CCircleJunco
AI coding workspace

Josephus survivor indexing

CircleJunco is a Windows workspace for discussing circular-index algorithms with AI. Trace the recurrence in the context of your project and check the model’s suggested update against direct elimination cases.

● ● ●CircleJunco●
A concrete starting point · Josephus survivor indexing ×
def josephus_index(count, step):
    if type(count) is not int or not 1 <= count <= 10000:
        raise ValueError("circle.count")
    if type(step) is not int or not 1 <= step <= 1000000:
        raise ValueError("circle.step")
    survivor = 0
    for size in range(2, count + 1):
        survivor = (survivor + step) % size
    return survivor
✳Find the zero-based Josephus survivor for one through 10000 participants and a counting step from one through 1000000.
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Illustrative workspace
Connection
Base URL, credentials and a reachable server.
Project
Check a single participant and step one, rejecting zero, fractional or Boolean arguments.
Review before applying
Compare actual behavior with the expected result. If a check fails, investigate it before applying more changes.
Workflows

Josephus survivor indexing

Workflows ↗
A concrete starting point
def josephus_index(count, step):
    if type(count) is not int or not 1 <= count <= 10000:
        raise ValueError("circle.count")
    if type(step) is not int or not 1 <= step <= 1000000:
        raise ValueError("circle.step")
    survivor = 0
    for size in range(2, count + 1):
        survivor = (survivor + step) % size
    return survivor
AI coding workspace

Catch the index mismatch before it reaches the interface

An index can be correct inside a function and still point to the wrong item when an interface labels positions differently. CircleJunco provides a Windows AI coding workspace for following that mismatch across project files. Start by stating where counting begins and how a returned position becomes a displayed label or selected record. Ask the assistant to inspect both conventions before editing either side.

The Josephus survivor-index example supplies a concrete development case. You could review how the input count and step are bounded, then follow the returned index to its consumer. Request a change only after agreeing whether the caller expects an index or a human-readable position. Small hand-checkable cases are useful here because they show the intended behavior without hiding a convention behind a large output.

Choose an abliterated AI model if available through your supported OpenAI-compatible or Anthropic endpoint, with credentials where required. The model and server determine tool access, context and restrictions. Review the proposed conversion or validation changes and run project tests through the caller. A local model needs a separate running server, and other connected tools may still use external services during the work.

Checking counting conventions across code

Where should I document whether counting starts at zero?

State it at the function boundary and in the caller's expectation. Include an example that shows the returned index and displayed position separately. This makes it easier to review a conversion without introducing an extra adjustment elsewhere.

Should I add one inside the helper to fix a label?

Inspect all callers first. If they expect an index, changing the helper can break selection logic even while one label improves. Ask for a proposal that places the conversion at the boundary appropriate to your application's contract.

What makes a small example useful for this task?

Choose a count and step you can follow manually, then state the expected survivor and its displayed label. Include the smallest accepted input. These examples expose a convention mismatch more clearly than a large result with no explanation.

Does CircleJunco simulate circular processes automatically?

No automatic simulation is established by the sample. The workspace supports discussing and reviewing your implementation. Use your project environment to run the code and compare its output with the acceptance cases you have defined for the task.

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CircleJunco · Updated 2026-10-25