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: 75.807825.
2. **SCAN:** Begin reading the log sequentially, looking only at `<system_output>` tags that occur AFTER 75.807825.
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 75.807825.
- **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 75.807825, and return the timestamp of the immediate next `<user_input>` tag. Output ONLY that number.

Log:
<user_input timestamp="75.807825">g</user_input>
<system_output timestamp="75.811978">g</system_output>
<user_input timestamp="76.075135">u</user_input>
<system_output timestamp="76.087862">u</system_output>
<user_input timestamp="76.587425"></user_input>
<system_output timestamp="76.59296">[K</system_output>
<user_input timestamp="76.772683"></user_input>
<system_output timestamp="76.793629">[K</system_output>
<user_input timestamp="76.97924">s</user_input>
<system_output timestamp="76.992396">s</system_output>
<user_input timestamp="77.081116">u</user_input>
<system_output timestamp="77.092681">u</system_output>
<user_input timestamp="77.270107">d</user_input>
<system_output timestamp="77.290834">d</system_output>
<user_input timestamp="77.37435">o</user_input>
<system_output timestamp="77.391245">o</system_output>
<user_input timestamp="77.46009"> </user_input>
<system_output timestamp="77.47304"> </system_output>
<user_input timestamp="77.688704">g</user_input>
<system_output timestamp="77.708252">g</system_output>
<user_input timestamp="77.812759">i</user_input>
<system_output timestamp="77.829368">i</system_output>
<user_input timestamp="78.102383">t</user_input>
<system_output timestamp="78.111121">t</system_output>
<user_input timestamp="78.227675"> </user_input>
<system_output timestamp="78.231081"> </system_output>
<user_input timestamp="78.456741">c</user_input>
<system_output timestamp="78.470274">c</system_output>
<user_input timestamp="78.540413">o</user_input>
<system_output timestamp="78.548625">o</system_output>
<user_input timestamp="78.748867">m</user_input>
<system_output timestamp="78.762718">m</system_output>
<user_input timestamp="78.935861">m</user_input>
<system_output timestamp="78.941982">m</system_output>
<user_input timestamp="79.018823">i</user_input>
<system_output timestamp="79.021313">i</system_output>
<user_input timestamp="79.249191">t</user_input>
<system_output timestamp="79.258383">t</system_output>
<user_input timestamp="79.372863"> </user_input>
<system_output timestamp="79.377325"> </system_output>
<user_input timestamp="79.620845">-</user_input>
<system_output timestamp="79.637741">-</system_output>
<user_input timestamp="79.908747">m</user_input>
<system_output timestamp="79.91931">m</system_output>
<user_input timestamp="80.074614"> </user_input>
<system_output timestamp="80.07825"> </system_output>
<user_input timestamp="80.363829">'</user_input>
<system_output timestamp="80.378432">'</system_output>
<user_input timestamp="87.382794">a</user_input>
<system_output timestamp="87.384519">a</system_output>
<user_input timestamp="87.626324">t</user_input>
<system_output timestamp="87.63956">t</system_output>
<user_input timestamp="87.846821">t</user_input>
<system_output timestamp="87.849235">t</system_output>
<user_input timestamp="87.926704">e</user_input>
<system_output timestamp="87.933906">e</system_output>
<user_input timestamp="88.170456">m</user_input>
<system_output timestamp="88.186629">m</system_output>
<user_input timestamp="88.354256">p</user_input>
<system_output timestamp="88.377288">p</system_output>
<user_input timestamp="88.660157">t</user_input>
<system_output timestamp="88.6735">t</system_output>
<user_input timestamp="88.920897"> </user_input>
<system_output timestamp="88.92647"> </system_output>
<user_input timestamp="89.164388">t</user_input>
<system_output timestamp="89.182666">t</system_output>
<user_input timestamp="89.286019">o</user_input>
<system_output timestamp="89.287905">o</system_output>
<user_input timestamp="89.428948"> </user_input>
<system_output timestamp="89.436185"> </system_output>
<user_input timestamp="89.61175">m</user_input>
<system_output timestamp="89.628139">m</system_output>
<user_input timestamp="89.734505">a</user_input>
<system_output timestamp="89.754819">a</system_output>
<user_input timestamp="89.959158">k</user_input>
<system_output timestamp="89.967602">k</system_output>
<user_input timestamp="90.142709">e</user_input>
<system_output timestamp="90.154702">e</system_output>
<user_input timestamp="90.264795"> </user_input>
<system_output timestamp="90.284237"> </system_output>
<user_input timestamp="91.485436">b</user_input>
<system_output timestamp="91.491437">b</system_output>
<user_input timestamp="91.545329">o</user_input>
<system_output timestamp="91.553847">o</system_output>
<user_input timestamp="91.749294">o</user_input>
<system_output timestamp="91.762996">o</system_output>
<user_input timestamp="92.605282">t</user_input>
<system_output timestamp="92.608387">t</system_output>
<user_input timestamp="93.174683"></user_input>
<system_output timestamp="93.198597">[K</system_output>
<user_input timestamp="93.396733"></user_input>
<system_output timestamp="93.409205">[K</system_output>
<user_input timestamp="93.603679"></user_input>
<system_output timestamp="93.621657">[K</system_output>
<user_input timestamp="93.80633"></user_input>
<system_output timestamp="93.811619">[K</system_output>
<user_input timestamp="95.169539">l</user_input>
<system_output timestamp="95.177483">l</system_output>
<user_input timestamp="95.354235">i</user_input>
<system_output timestamp="95.364057">i</system_output>
<user_input timestamp="95.55889">n</user_input>
<system_output timestamp="95.572914">n</system_output>
<user_input timestamp="95.639497">u</user_input>
<system_output timestamp="95.657148">u</system_output>
<user_input timestamp="95.940935">x</user_input>
<system_output timestamp="95.953276">x</system_output>
<user_input timestamp="96.16719"> </user_input>
<system_output timestamp="96.181891"> </system_output>
<user_input timestamp="96.390989">s</user_input>
<system_output timestamp="96.395714">s</system_output>
<user_input timestamp="96.637499">h</user_input>
<system_output timestamp="96.64752">h</system_output>
<user_input timestamp="96.760955">o</user_input>
<system_output timestamp="96.772217">o</system_output>
<user_input timestamp="96.985568">w</user_input>
<system_output timestamp="97.006089">w</system_output>
<user_input timestamp="97.127531"> </user_input>
<system_output timestamp="97.131099"> </system_output>
<user_input timestamp="97.550786">v</user_input>
<system_output timestamp="97.572704">v</system_output>
<user_input timestamp="97.591826">i</user_input>
<system_output timestamp="97.613946">i</system_output>
<user_input timestamp="97.838929">d</user_input>
<system_output timestamp="97.845838">d</system_output>
<user_input timestamp="97.959477">e</user_input>
<system_output timestamp="97.97303">e</system_output>
<user_input timestamp="98.281346">o</user_input>
<system_output timestamp="98.288445">o</system_output>
<user_input timestamp="98.485251"> </user_input>
<system_output timestamp="98.497234"> </system_output>
<user_input timestamp="98.806189">a</user_input>
<system_output timestamp="98.813805">a</system_output>
<user_input timestamp="98.909733">f</user_input>
<system_output timestamp="98.917195">f</system_output>
<user_input timestamp="99.399884">t</user_input>
<system_output timestamp="99.405022">t</system_output>
<user_input timestamp="99.543579">e</user_input>
<system_output timestamp="99.553516">e</system_output>
<user_input timestamp="99.765049">r</user_input>
<system_output timestamp="99.783116">r</system_output>
<user_input timestamp="100.091549"> </user_input>
<system_output timestamp="100.096433"> </system_output>
<user_input timestamp="103.245279"></user_input>
<system_output timestamp="103.247279">[K</system_output>
<user_input timestamp="103.484023"></user_input>
<system_output timestamp="103.50356">[K</system_output>
<user_input timestamp="103.642096"></user_input>
<system_output timestamp="103.66117">[K</system_output>
<user_input timestamp="103.820347"></user_input>
<system_output timestamp="103.840122">[K</system_output>
<user_input timestamp="103.997598"></user_input>
<system_output timestamp="104.000924">[K</system_output>
<user_input timestamp="104.197566"></user_input>
<system_output timestamp="104.200206">[K</system_output>
<user_input timestamp="104.850433">w</user_input>
<system_output timestamp="104.857042">w</system_output>
<user_input timestamp="105.009001">h</user_input>
<system_output timestamp="105.016386">h</system_output>
<user_input timestamp="105.127819">e</user_input>
<system_output timestamp="105.135134">e</system_output>
<user_input timestamp="105.368653">n</user_input>
<system_output timestamp="105.37265">n</system_output>
<user_input timestamp="105.586978"> </user_input>
<system_output timestamp="105.589731"> </system_output>
<user_input timestamp="105.763928">b</user_input>
<system_output timestamp="105.766561">b</system_output>
<user_input timestamp="105.844364">o</user_input>
<system_output timestamp="105.866079">o</system_output>
<user_input timestamp="106.00511">o</user_input>
<system_output timestamp="106.023513">o</system_output>
<user_input timestamp="106.1252">t</user_input>
<system_output timestamp="106.142699">t</system_output>
<user_input timestamp="106.245145">e</user_input>
<system_output timestamp="106.259645">e</system_output>
<user_input timestamp="106.464231">d</user_input>
<system_output timestamp="106.478313">d</system_output>
<user_input timestamp="106.640422"> </user_input>
<system_output timestamp="106.657416"> </system_output>
<user_input timestamp="106.837329">f</user_input>
<system_output timestamp="106.85172">f</system_output>
<user_input timestamp="107.131536">r</user_input>
<system_output timestamp="107.146066">r</system_output>
<user_input timestamp="107.251537">o</user_input>
<system_output timestamp="107.261581">o</system_output>
<user_input timestamp="107.410818">m</user_input>
<system_output timestamp="107.419231">m</system_output>
<user_input timestamp="107.573205"> </user_input>
<system_output timestamp="107.579952"> </system_output>
<user_input timestamp="108.047076">E</user_input>
<system_output timestamp="108.05832">E</system_output>
<user_input timestamp="108.383499">F</user_input>
<system_output timestamp="108.393205">F</system_output>
<user_input timestamp="108.540804">I</user_input>
<system_output timestamp="108.55239">I</system_output>
<user_input timestamp="108.902538">.</user_input>
<system_output timestamp="108.911912">.</system_output>
<user_input timestamp="109.282076">'</user_input>
<system_output timestamp="109.293084">'</system_output>
<user_input timestamp="111.107391">
</user_input>
<system_output timestamp="111.116216">
[?2004l
</system_output>
<system_output timestamp="111.128166">sudo: unable to resolve host faiserver: Name or service not known
</system_output>
<system_output timestamp="111.808225">[master 86227f7] attempt to make linux show video when booted from EFI.
</system_output>
<system_output timestamp="111.809551"> 1 file changed, 33 insertions(+)
</system_output>
<system_output timestamp="111.8131">[?2004h]0;demo@faiserver: /home/fai/configdemo@faiserver:/home/fai/config$ </system_output>
<user_input timestamp="119.895292"/>
<system_output timestamp="119.896711">[?2004l

</system_output>
<system_output timestamp="119.89708">logout
</system_output>
<system_output timestamp="119.90277">Connection to 172.16.0.17 closed.

</system_output>
<system_output timestamp="119.906135">[?2004hdemo@stephost:~$ </system_output>
<user_input timestamp="120.953681"/>

Answer: 119.895292