# Technical Document Extraction: Relationship Between Think Length and Accuracy
## Title
**Relationship Between Think Length and Accuracy**
## Axes
- **X-axis**: Think Length (Tokens)
- Range: 0 to 12,000
- Markers: 0, 1K, 2K, 4K, 8K, 16K, 32K
- **Y-axis**: Accuracy
- Range: 0.2 to 0.8
- Markers: 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8
## Legend
- **Position**: Bottom-right corner
- **Components**:
- **Budget Force**: Blue line with circle markers
- **RCPD**: Purple star marker
- **Deer**: Red triangle marker
## Data Series
### Budget Force (Blue Line)
- **Trend**: Steady upward slope from left to right.
- **Data Points**:
- [0, 0.200]
- [1K, 0.567]
- [2K, 0.567]
- [4K, 0.667]
- [8K, 0.733]
- [12K, 0.733]
- [16K, 0.733]
- [32K, 0.800]
### RCPD (Purple Star)
- **Trend**: Single data point at 8K tokens.
- **Data Point**:
- [8K, 0.833]
### Deer (Red Triangle)
- **Trend**: Single data point at 12K tokens.
- **Data Point**:
- [12K, 0.767]
## Annotations
- **RCPD Annotation**:
- Text: `0.833`
- Position: Above the purple star marker at 8K tokens.
- **Deer Annotation**:
- Text: `0.767`
- Position: Below the red triangle marker at 12K tokens.
## Spatial Grounding
- **Legend**: Bottom-right corner (confirmed via visual alignment).
- **Data Point Colors**:
- Budget Force: Blue (matches legend).
- RCPD: Purple (matches legend).
- Deer: Red (matches legend).
## Key Observations
1. **Budget Force** demonstrates a consistent increase in accuracy as think length grows, with a notable plateau between 8K and 16K tokens.
2. **RCPD** achieves the highest accuracy (0.833) at 8K tokens but is represented as a single point.
3. **Deer** shows lower accuracy (0.767) at 12K tokens compared to RCPD at the same token length.
## Notes
- No additional languages or non-English text detected.
- All textual elements (labels, axis titles, legends, annotations) are transcribed verbatim.
- Chart structure and trends are validated against legend and spatial grounding.
