GPT-6 Luna
OpenAI·Sep 22, 2026·12 harness configurations·$0.10 input / $0.50 output per 1M tokens
GPT-6 Luna's best semi-private scores are 86.7% on v1 and 59.3% on v2, both at max reasoning. On v3, it reaches 0.2% with the Standard harnessStandard harness enables a model to carry forward notes it chooses to keep with it throughout the environment. at medium reasoning and 0.6% with the Provider Adapter harnessThe Provider Adapter harness preserves opaque reasoning state between requests and uses compaction for longer conversations, allowing the model to reuse prior work. at max reasoning.
ARC-AGI 3 leaderboard
GPT-6 LunaGPT-6 Luna - Provider Adapter
Verified scores
| Variant | ARC-AGI-1 | ARC-AGI-2 | ARC-AGI-3(Standard harness) | ARC-AGI-3(Provider Adapter harness) |
|---|---|---|---|---|
| Max | 86.7% | 59.3% | 0.1% | 0.6% |
| XHigh | 73.0% | 41.9% | 0.2% | 0.5% |
| High | 70.3% | 31.4% | 0.2% | 0.4% |
| Medium | 61.0% | 18.1% | 0.2% | 0.3% |
| Low | 37.7% | 4.6% | 0.0% | 0.2% |
| None | 8.8% | 0.0% | 0.0% | 0.0% |
Tasks & environments
Pass/fail per reasoning level across each benchmark.
ARC-AGI-3 Public Demo - Standard harnessStandard harness enables a model to carry forward notes it chooses to keep with it throughout the environment.
25 environments
ARC-AGI-3 Public Demo - Provider Adapter harnessThe Provider Adapter harness preserves opaque reasoning state between requests and uses compaction for longer conversations, allowing the model to reuse prior work.
25 environmentsARC-AGI-2 Public Eval
120 tasks| Task | Max | XHigh | High | Medium | Low | None |
|---|---|---|---|---|---|---|
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✗ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✓ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✗ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✓ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✓ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✗ | ✗ | ✓ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✓ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✓ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✓ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✓ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✗ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ |
ARC-AGI-1 Public Eval
400 tasks| Task | Max | XHigh | High | Medium | Low | None |
|---|---|---|---|---|---|---|
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✗ | ✓ | ✗ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✗ | ✓ | ✓ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✓ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✗ | ✓ | ✗ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✗ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✓ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✓ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✗ | ✓ | ✓ | ✗ | ✗ | |
| ✗ | ✓ | ✓ | ✗ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✗ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✗ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✗ | ✗ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✗ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✗ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✗ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✗ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✓ | ✗ | |
| ✓ | ✓ | ✗ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✗ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✗ | ✗ | ✗ | ✓ | ✗ | ✗ | |
| ✓ | ✗ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✓ | ✓ | ✓ | |
| ✗ | ✗ | ✓ | ✗ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✗ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✗ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✗ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✓ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✗ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✗ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✗ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✗ | ✓ | ✗ | ✓ | ✗ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
| ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✗ | ✗ | ✗ | ✗ | |
| ✓ | ✓ | ✓ | ✓ | ✗ | ✗ |
