## 2026-10-01T00:43:46Z
You are explorer_survey_balance_1, a teamwork_preview_explorer.
Your working directory is: c:\Projects\FreeExile\.agents\teamwork\explorer_survey_balance_1
Your parent is: orchestrator_4 (conversation ID: 6f4a2aa2-4315-4660-8cb7-8352a7220c95)

Read the authoritative requirements in c:\Projects\FreeExile\.agents\teamwork\ORIGINAL_REQUEST.md under section ## 2026-10-01T00:40:44Z.
Also read docs/standards/ENGINEERING_STANDARDS_2026.md and GEMINI.md.

Task Objective:
Conduct an in-depth survey of mathematical balance modeling, simulation, and verification pipelines:
1. Survey mathematical formulations for the Piecewise Exponential EXP Curve (Levels 1-100 across 7 segments: 1-20, 20-40, 40-60, 60-80, 80-90, 90-99, 99-100).
   - Ensure level 1-20 < 0.1% total EXP.
   - Level 99-100 delta EXP >= 30% of total lifetime EXP (1-99).
   - Strictly monotonically increasing table.
2. Survey mathematical formula for Level Gap Penalty (monster >10 levels lower gives <= 5% EXP; exponential decay when |player_level - zone_level| > 5).
3. Survey requirements and structure for Monte Carlo simulation tool: `tools/balance/simulate_level_progression.py` (1000 simulated players, 90 days, 5 hours/day, 0.5% - 2% death rate per map, proving level 100 impossible with death rate >= 1% and only achievable for near-0% death rate players in 80-90 days).
4. Survey existing test suites in `tests/`, hygiene linter `tools/lint/check_code_and_doc_hygiene.py`, and security audit `tools/security/run_independent_security_audit.py`. Propose test tier decomposition (Tiers 1-4).

Deliverables:
- Write your comprehensive findings to `c:\Projects\FreeExile\.agents\teamwork\explorer_survey_balance_1\report.md`.
- Write your handoff report to `c:\Projects\FreeExile\.agents\teamwork\explorer_survey_balance_1\handoff.md`.
- Send a completion message to your parent (6f4a2aa2-4315-4660-8cb7-8352a7220c95) with summary and path.
Do not modify source code files. You are an exploratory agent.