You are a strict data extraction algorithm. Your purpose is to output ONLY the numerical timestamp of the next command event in the XML log.

### DEFINITION OF A BOUNDARY:
A boundary is the **first `<user_input>` tag following any system-provided state where the terminal is awaiting input.**
An input state includes:
1. **Shell Prompts:** Lines containing `$` or `#` (e.g., `user@host:~$`).
2. **Authentication:** Prompts asking for secrets (e.g., `password for`, `[sudo]`).
3. **Interactive Pagers:** Terminal states indicating a pause or waiting for user interaction (e.g., `(END)`, `[7m`, or prompts lacking a trailing newline).

### YOUR ALGORITHM:
1. **START POINT:** The current cursor is at timestamp: 0.007194.
2. **SCAN:** Begin reading the log sequentially, looking only at `<system_output>` tags that occur AFTER 0.007194.
3. **IDENTIFY STATE:** Determine if the system is waiting for input based on the definitions above.
4. **EXTRACT:** Identify the very next `<user_input>` tag following that state. 
5. **OUTPUT:** Extract the `timestamp` value from that `<user_input>` tag.

### CRITICAL GUARDRAILS (ZERO TOLERANCE):
- **STRICT ADVANCEMENT:** The output timestamp must be strictly greater than 0.007194.
- **NO CHATTER:** Output ONLY the digits. No headers, no markdown, no quotes.
- **NO LISTS:** Return only one single timestamp per execution.
- **NO HALLUCINATION:** The value must exist exactly as written in the source XML.

### FINAL COMMAND:
Find the first instance of a shell prompt, password request, or pager waiting state occurring after timestamp 0.007194, and return the timestamp of the immediate next `<user_input>` tag. Output ONLY that number.

Log:
<system_output timestamp="0.007194">[?2004h</system_output>
<system_output timestamp="0.008198">demo@stephost:~$ </system_output>
<user_input timestamp="3.27642">s</user_input>
<system_output timestamp="3.276863">s</system_output>
<user_input timestamp="3.53099">s</user_input>
<system_output timestamp="3.5314">s</system_output>
<user_input timestamp="3.783855">h</user_input>
<system_output timestamp="3.784243">h</system_output>
<user_input timestamp="4.040324"> </user_input>
<system_output timestamp="4.040832"> </system_output>
<user_input timestamp="4.969062">1</user_input>
<system_output timestamp="4.969681">1</system_output>
<user_input timestamp="5.243021">0</user_input>
<system_output timestamp="5.243405">0</system_output>
<user_input timestamp="5.496535">.</user_input>
<system_output timestamp="5.496902">.</system_output>
<user_input timestamp="5.708452">0</user_input>
<system_output timestamp="5.708981">0</system_output>
<user_input timestamp="5.938425">.</user_input>
<system_output timestamp="5.938811">.</system_output>
<user_input timestamp="6.511135"></user_input>
<system_output timestamp="6.511535">[K</system_output>
<user_input timestamp="6.720422"></user_input>
<system_output timestamp="6.720946">[K</system_output>
<user_input timestamp="6.887976"></user_input>
<system_output timestamp="6.888485">[K</system_output>
<user_input timestamp="7.060399"></user_input>
<system_output timestamp="7.060959">[K</system_output>
<user_input timestamp="7.442536">7</user_input>
<system_output timestamp="7.442997">7</system_output>
<user_input timestamp="7.6758">2</user_input>
<system_output timestamp="7.676185">2</system_output>
<user_input timestamp="7.991357">.</user_input>
<system_output timestamp="7.991757">.</system_output>
<user_input timestamp="8.263511">1</user_input>
<system_output timestamp="8.26398">1</system_output>
<user_input timestamp="8.60073">6</user_input>
<system_output timestamp="8.601259">6</system_output>
<user_input timestamp="9.044584">.</user_input>
<system_output timestamp="9.045007">.</system_output>
<user_input timestamp="9.342953">0</user_input>
<system_output timestamp="9.343368">0</system_output>
<user_input timestamp="9.618447">.</user_input>
<system_output timestamp="9.618825">.</system_output>
<user_input timestamp="10.336834">1</user_input>
<system_output timestamp="10.337591">1</system_output>
<user_input timestamp="10.926995">7</user_input>
<system_output timestamp="10.92736">7</system_output>
<user_input timestamp="11.413112">
</user_input>
<system_output timestamp="11.413543">
[?2004l
</system_output>
<system_output timestamp="11.754014">
demo@172.16.0.17's password: </system_output>
<user_input timestamp="13.002874">f</user_input>
<user_input timestamp="13.085046">a</user_input>
<user_input timestamp="13.147985">i</user_input>
<user_input timestamp="13.35704">
</user_input>
<system_output timestamp="13.357503">
</system_output>
<system_output timestamp="13.490667">Linux faiserver 6.1.0-22-686-pae #1 SMP PREEMPT_DYNAMIC Debian 6.1.94-1 (2024-06-21) i686


Plan your installation, and FAI installs your plan.

Last login: Sun Oct  6 16:51:26 2024 from 172.16.0.1

</system_output>
<system_output timestamp="13.640211">[?2004h]0;demo@faiserver: ~demo@faiserver:~$ </system_output>
<user_input timestamp="21.987222">c</user_input>
<system_output timestamp="21.989407">c</system_output>
<user_input timestamp="22.208425">d</user_input>
<system_output timestamp="22.213483">d</system_output>
<user_input timestamp="22.309141"> </user_input>
<system_output timestamp="22.31413"> </system_output>
<user_input timestamp="22.568401">/</user_input>
<system_output timestamp="22.585127">/</system_output>
<user_input timestamp="22.915005">h</user_input>
<system_output timestamp="22.936477">h</system_output>
<user_input timestamp="22.996323">o</user_input>
<system_output timestamp="22.998952">o</system_output>
<user_input timestamp="23.419145">m</user_input>
<system_output timestamp="23.428202">m</system_output>
<user_input timestamp="23.60239">e</user_input>
<system_output timestamp="23.614747">e</system_output>
<user_input timestamp="23.907324">/</user_input>
<system_output timestamp="23.927054">/</system_output>
<user_input timestamp="24.251554">f</user_input>
<system_output timestamp="24.257096">f</system_output>
<user_input timestamp="24.352107">a</user_input>
<system_output timestamp="24.360621">a</system_output>
<user_input timestamp="24.412845">i</user_input>
<system_output timestamp="24.422944">i</system_output>
<user_input timestamp="24.837692">/</user_input>
<system_output timestamp="24.858998">/</system_output>
<user_input timestamp="25.307004">oc</user_input>
<system_output timestamp="25.326712">oc</system_output>
<user_input timestamp="25.667917"></user_input>
<system_output timestamp="25.675038">[K</system_output>
<user_input timestamp="25.89172"></user_input>
<system_output timestamp="25.902169">[K</system_output>
<user_input timestamp="26.075435">c</user_input>
<system_output timestamp="26.087197">c</system_output>
<user_input timestamp="26.176428">o</user_input>
<system_output timestamp="26.189346">o</system_output>
<user_input timestamp="26.439727">	</user_input>
<system_output timestamp="26.469054">nfig/</system_output>
<user_input timestamp="26.926652">
</user_input>
<system_output timestamp="26.934323">
[?2004l
</system_output>
<system_output timestamp="26.935093">[?2004h]0;demo@faiserver: /home/fai/configdemo@faiserver:/home/fai/config$ </system_output>
<user_input timestamp="37.178971">g</user_input>

Answer: 21.987222