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Demonstrates cyclic skill invocation — runs the Sieve of Eratosthenes by invoking a private "strike" subskill once per prime, re-rendering a visual grid after each pass. Takes an upper limit n. Use to show one skill invoking another skill N times in a loop.
用 Codex 或 Claude 帮你安装 复制这段 Prompt，粘贴到 Codex、Claude 或其他助手里，让它检查 Skill 页面并帮你完成安装。
基于 SOC 职业分类
Use when the user says "netwatch" or asks to measure network stats (ping latency, packet loss, interface throughput) in the background. Launches a background subagent via the `task` tool that runs ~20s of measurements, then returns control immediately so the user can keep talking. Demonstrates background subagent invocation in opencode.
Private sieve subskill. Invoked by the sieve controller after each pass; not user-invocable. Reads sieve.state and draws the current grid — remaining primes vs. struck (composite) numbers.
Private sieve subskill. Invoked by the sieve controller once per prime; not user-invocable. Strikes the multiples of a single prime p out of the sieve and records them in sieve.state.
Use when the user says "syscheck" or asks for a parallel system health check. Fans out THREE subagents at once via the Agent tool — one checks CPU, one network, one memory — using only safe read-only commands, then synthesizes their results into one report. Demonstrates parallel subagent fan-out in Claude Code.
Use when the user says "syscheck" or asks for a parallel system health check. Fans out THREE subagents via the `task` tool — one checks CPU, one network, one memory — using only safe read-only commands, then synthesizes their results into one report. Demonstrates parallel subagent fan-out in opencode.
Demonstrates recursive self-invocation with a depth limit. Performs a breadth-first (level-order) traversal of the decision tree in tree.json by invoking ITSELF once per level — each call expands the current frontier and recurses on the next, stopping at a maximum depth. Takes an optional max depth.
| name | sieve |
| description | Demonstrates cyclic skill invocation — runs the Sieve of Eratosthenes by invoking a private "strike" subskill once per prime, re-rendering a visual grid after each pass. Takes an upper limit n. Use to show one skill invoking another skill N times in a loop. |
| argument-hint | [n] |
This skill demonstrates cyclic invocation: a controller skill that invokes a
subskill N times in a loop, where N depends on the input. It runs the Sieve of
Eratosthenes over the numbers 2..n and shows the grid after every pass.
It uses two private subskills (user-invocable: false):
sieve-strike — strikes out the multiples of one prime psieve-render — draws the current grid (remaining primes vs. struck numbers)You are the controller. You repeatedly pick the next prime and invoke
sieve-strike for it — that is the loop. State lives in sieve.state so the
subskills share it between calls.
Parse n from the argument: n = $1. If absent, use n = 30. Require an
integer n ≥ 2; otherwise ask the user for a valid limit and stop.
Initialize sieve.state in the current directory, overwriting it, with a
single header line:
n=<n>
Invoke sieve-render once to show the starting grid (every number from
2..n is still a candidate).
Loop — this is the cyclic invocation:
a. Read sieve.state. Build the struck set = the union of every number on
the right-hand side of all strike p=... -> ... lines.
b. The unmarked numbers are 2..n minus the struck set.
c. Choose the next pivot p = the smallest unmarked number that is greater
than the previous pivot (start from 1) and satisfies p*p ≤ n.
d. If no such p exists, exit the loop.
e. Invoke sieve-strike, passing p as its argument.
f. Invoke sieve-render to show the grid after this pass.
g. Repeat from (a).
When the loop ends, every remaining unmarked number is prime. Invoke
sieve-render one final time, then report to the user:
≤ n,sieve-strike).Do not strike or render the grid yourself — always go through the subskills. That is the point of the demo: the controller only orchestrates the loop.