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: 62.45089.
2. **SCAN:** Begin reading the log sequentially, looking only at `<system_output>` tags that occur AFTER 62.45089.
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 62.45089.
- **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 62.45089, and return the timestamp of the immediate next `<user_input>` tag. Output ONLY that number.

Log:
<user_input timestamp="62.45089">q</user_input>
<system_output timestamp="62.513208">
[K[?1l&gt;</system_output>
<system_output timestamp="62.517843">[?2004h]0;demo@faiserver: /home/fai/configdemo@faiserver:/home/fai/config$ </system_output>
<user_input timestamp="63.400662">g</user_input>
<system_output timestamp="63.413182">g</system_output>
<user_input timestamp="63.462678">i</user_input>
<system_output timestamp="63.473122">i</system_output>
<user_input timestamp="63.874624">t</user_input>
<system_output timestamp="63.891086">t</system_output>
<user_input timestamp="64.160265"></user_input>
<system_output timestamp="64.168872">[K</system_output>
<user_input timestamp="64.346859"></user_input>
<system_output timestamp="64.3499">[K</system_output>
<user_input timestamp="64.533755"></user_input>
<system_output timestamp="64.548655">[K</system_output>
<user_input timestamp="64.719267">s</user_input>
<system_output timestamp="64.726355">s</system_output>
<user_input timestamp="64.863036">u</user_input>
<system_output timestamp="64.865434">u</system_output>
<user_input timestamp="65.009828">d</user_input>
<system_output timestamp="65.024009">d</system_output>
<user_input timestamp="65.093881">o</user_input>
<system_output timestamp="65.103147">o</system_output>
<user_input timestamp="65.217814"> </user_input>
<system_output timestamp="65.21932"> </system_output>
<user_input timestamp="65.55223">g</user_input>
<system_output timestamp="65.556366">g</system_output>
<user_input timestamp="65.676702">i</user_input>
<system_output timestamp="65.695473">i</system_output>
<user_input timestamp="65.989841">t</user_input>
<system_output timestamp="65.997029">t</system_output>
<user_input timestamp="66.114783"> </user_input>
<system_output timestamp="66.11638"> </system_output>
<user_input timestamp="66.367184">a</user_input>
<system_output timestamp="66.372781">a</system_output>
<user_input timestamp="66.514506">d</user_input>
<system_output timestamp="66.531233">d</system_output>
<user_input timestamp="66.679518">d</user_input>
<system_output timestamp="66.687786">d</system_output>
<user_input timestamp="66.803264"> </user_input>
<system_output timestamp="66.806634"> </system_output>
<user_input timestamp="67.15704">f</user_input>
<system_output timestamp="67.169901">f</system_output>
<user_input timestamp="67.299886">i</user_input>
<system_output timestamp="67.309796">i</system_output>
<user_input timestamp="67.635279">	</user_input>
<system_output timestamp="67.823155">les/</system_output>
<user_input timestamp="68.486163">e</user_input>
<system_output timestamp="68.501868">e</system_output>
<user_input timestamp="68.732748">t</user_input>
<system_output timestamp="68.738062">t</system_output>
<user_input timestamp="68.95918">	</user_input>
<system_output timestamp="69.003908">c/</system_output>
<user_input timestamp="69.726266">f</user_input>
<system_output timestamp="69.731674">f</system_output>
<user_input timestamp="70.040549">a</user_input>
<system_output timestamp="70.051801">a</system_output>
<user_input timestamp="70.394915">	</user_input>
<system_output timestamp="70.426589">i/</system_output>
<user_input timestamp="71.037548">g</user_input>
<system_output timestamp="71.046764">g</system_output>
<user_input timestamp="71.637194">r</user_input>
<system_output timestamp="71.643374">r</system_output>
<user_input timestamp="71.886838">	</user_input>
<system_output timestamp="71.91744">ub.cfg/</system_output>
<user_input timestamp="72.75882">S</user_input>
<system_output timestamp="72.77324">S</system_output>
<user_input timestamp="72.926559">E</user_input>
<system_output timestamp="72.931713">E</system_output>
<user_input timestamp="73.259703">	</user_input>
<system_output timestamp="73.294675">RVERFAI</system_output>
<user_input timestamp="74.687602">
</user_input>
<system_output timestamp="74.69844">
[?2004l
</system_output>
<system_output timestamp="74.71015">sudo: unable to resolve host faiserver: Name or service not known
</system_output>
<system_output timestamp="74.816969">[?2004h]0;demo@faiserver: /home/fai/configdemo@faiserver:/home/fai/config$ </system_output>
<user_input timestamp="75.807825">g</user_input>

Answer: 63.400662