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+# Constraint Solver Design
+
+## Overview
+
+Given a pixel-width gap from a human-verified redaction in the frontend, the solver enumerates all strings that perfectly fill that gap using precise font metrics (including kerning). Results stream to the frontend in real-time via SSE.
+
+## API Contract
+
+### `POST /api/solve` (SSE response)
+
+Request body:
+
+```json
+{
+  "doc_id": "abc123",
+  "page": 1,
+  "line_index": 3,
+  "font_id": "times-new-roman",
+  "font_size": 46,
+  "gap_width_px": 142.5,
+  "tolerance_px": 0.0,
+  "left_context": "o",
+  "right_context": " ",
+  "hints": {
+    "charset": "lowercase",
+    "min_length": 4,
+    "max_length": 8
+  },
+  "mode": "enumerate"
+}
+```
+
+Modes: `"enumerate"` (full search), `"dictionary"` (wordlist only), `"both"` (dictionary first, then enumerate).
+
+SSE response stream:
+
+```
+data: {"status": "running", "checked": 150000, "found": 0}
+data: {"status": "match", "text": "Smith", "width_px": 142.3, "error_px": 0.2}
+data: {"status": "done", "total_checked": 4200000, "total_found": 2}
+```
+
+### `DELETE /api/solve/{solve_id}`
+
+Cancels a running solve by terminating its worker pool.
+
+### Dictionary endpoints
+
+- `POST /api/dictionary` — upload a wordlist (name + entries)
+- `GET /api/dictionary` — list loaded dictionaries
+- `DELETE /api/dictionary/{name}` — remove a wordlist
+
+## Width Table & Font Metrics Engine
+
+The core data structure is a precomputed 2D width table for a given font + size + charset.
+
+### Width table construction
+
+For every `(prev_char, next_char)` pair in the allowed charset:
+
+```python
+width_table[i][j] = font.getlength(prev + next) - font.getlength(prev)
+```
+
+This captures kerning implicitly — `getlength("AV") - getlength("A")` gives the advance of "V" after "A", which is narrower than "V" alone.
+
+### Boundary handling
+
+- **Left edge**: `left_edge[char_idx] = font.getlength(left_context + char) - font.getlength(left_context)` — 1D array for the first redacted character.
+- **Right edge**: `right_edge[char_idx] = font.getlength(char + right_context) - font.getlength(char) - font.getlength(right_context)` — kerning correction for the last redacted character against the right context.
+
+### Pruning bounds
+
+- `min_advance[prev_char_idx]` — narrowest possible next character after this char
+- `max_advance[prev_char_idx]` — widest possible next character after this char
+
+These enable instant branch pruning: "even filling the rest with the widest/narrowest chars can't hit the target."
+
+### Caching
+
+Width tables keyed by `(font_id, font_size, charset)` and cached in memory. Same font/size across multiple solve requests reuses the table.
+
+## Branch-and-Bound Solver
+
+### Core algorithm (per worker)
+
+Each worker receives an assigned prefix and searches its subtree:
+
+1. Start from the prefix's accumulated width and last character
+2. Try each allowed next character, look up advance from width table
+3. If `accumulated_width > target + tolerance` — prune (overshoot)
+4. If `remaining_budget < min_advance[last_char]` — prune (can't fit anything)
+5. If `accumulated_width + max_advance[last_char] * chars_remaining < target - tolerance` — prune (can't reach target)
+6. If current length is within `[min_length, max_length]`, check if `abs(final_width - target) <= tolerance` with right-edge correction
+7. Recurse
+
+### Parallelization
+
+1. Main process builds width table, generates all depth-2 prefixes (e.g., "aa".."zz" = 676 for lowercase)
+2. Prune prefixes whose accumulated width already overshoots
+3. Distribute surviving prefixes across `ProcessPoolExecutor(max_workers=os.cpu_count())`
+4. Workers report progress via shared `multiprocessing.Value` counter
+5. Main process collects results from futures, streams via SSE
+
+### Prefix depth
+
+- Alphabet <= 52 chars: depth 2 (up to ~2700 jobs)
+- Goal: enough jobs for load balancing without overhead domination
+
+## Dictionary Mode
+
+Linear scan over wordlist entries, measuring rendered width of each:
+
+```python
+width = font.getlength(left_ctx + entry + right_ctx) - font.getlength(left_ctx) - right_correction
+if abs(width - target) <= tolerance:
+    yield (entry, width)
+```
+
+### Dictionary sources
+
+- **Epstein associates**: curated list shipped with the project (public record names)
+- **User-supplied wordlists**: uploaded via API, one entry per line, stored per-session
+
+### "Both" mode
+
+1. Dictionary scan first (milliseconds)
+2. Stream dictionary matches immediately
+3. Kick off full enumeration in parallel
+4. Stream enumeration matches, deduplicating against dictionary hits
+
+## Frontend Integration
+
+### Solve button
+
+Appears in the floating toolbar when a line has a redaction gap (2+ segments). Targets the gap after the active segment.
+
+### Solve panel
+
+- **Hints**: charset dropdown (lowercase / uppercase / mixed / alphanumeric / custom), min/max length, tolerance slider (0 to ±5px in 0.5 steps)
+- **Mode toggle**: Enumerate / Dictionary / Both
+- **Progress bar**: nodes checked, updated via SSE
+- **Results list**: matches appear real-time, sorted by error (closest to 0 first). Clicking a result inserts it into the gap for visual verification on the canvas.
+
+### Wiring
+
+```javascript
+const es = new EventSource(`/api/solve?${params}`);
+es.onmessage = (e) => {
+    const data = JSON.parse(e.data);
+    if (data.status === "match") addToResultsList(data);
+    if (data.status === "running") updateProgress(data);
+    if (data.status === "done") es.close();
+};
+```
+
+### Cancel
+
+Closing the panel or clicking "Stop" sends `DELETE /api/solve/{solve_id}` to terminate workers.