feat(offline): port DAWG cursor + move generator to TS (parity-pinned)

First engine-first step of PWA offline mode (Phase A): the client-side move
generator — the "robot brain" a local vs_ai game will run on-device — with no
runtime wiring yet (Phase B).

- dawg.ts: add the step-by-step cursor (root/final/next/arcs), a faithful port
  of dafsa traverse.go over the reader's existing bitstream.
- generate.ts: the Appel-Jacobson generator (leftPart/extendRight + cross-sets +
  counts-rack + board transpose + moveKey ranking), reusing the cursor and
  validate.ts evaluate/connected. A cross-set LetterSet is a Uint8Array, so the
  33-letter Russian alphabet (index 32) is exact under JS bit ops.
- validate.ts: export connected for the generator's connectivity filter.
- backend/cmd/movegen: dev tool building small sample dictionaries and emitting
  golden move-generation fixtures from the real Go solver (EN + RU).
- tests: dawg.cursor.test.ts (enumeration bijection vs indexOf) and
  generate.parity.test.ts (7/7 vs the Go solver: empty board, mid-game, blank,
  single-word rule, Russian index-32 cross-set). The committed EN sample also
  unblocks the existing skipped dawg.parity.test.ts once wired with DICT_* in CI.

Pure additive library code; no runtime behavior change.

backend/cmd/movegen/main.go

@@ -0,0 +1,295 @@
+// Command movegen emits golden conformance fixtures for the client-side move
+// generator port (ui/src/lib/dict). It is a dev tool, run by hand; its output is
+// committed so the TypeScript parity tests run without a Go toolchain.
+//
+// For each small sample dictionary (English and Russian — the latter reaches
+// alphabet index 32, exercising the 33-letter cross-set boundary) it writes:
+//
+//   - sample_<tag>.dawg           the serialized dictionary (the reader/cursor fixture)
+//   - sample_<tag>.words.json     the stored words + their alphabet indexes
+//   - sample_<tag>.gen.json       ranked move-generation results from the real solver,
+//     for a handful of positions, plus the ruleset the TS
+//     side rebuilds to score identically
+//
+// Positions are built with only the solver's public API: an empty board, and
+// two-ply positions reached by applying the solver's own top move (so no internal
+// encoding is needed). Regenerate with:
+//
+//	go run ./backend/cmd/movegen -out ui/src/lib/dict/testdata
+package main
+
+import (
+	"encoding/json"
+	"flag"
+	"log"
+	"os"
+	"path/filepath"
+
+	"gitea.iliadenisov.ru/developer/scrabble-solver/board"
+	"gitea.iliadenisov.ru/developer/scrabble-solver/rack"
+	"gitea.iliadenisov.ru/developer/scrabble-solver/rules"
+	"gitea.iliadenisov.ru/developer/scrabble-solver/scrabble"
+	dawg "github.com/iliadenisov/dafsa"
+)
+
+// sampleWordsEN is the English sample dictionary, in strictly increasing
+// alphabet-index order (the builder requires it). Shared prefixes (car/care/cars),
+// shared suffixes (cats/dogs), internal-final nodes (do, an) and a one-letter word.
+var sampleWordsEN = []string{
+	"a", "an", "and", "ant",
+	"car", "care", "cared", "cares", "cars", "cat", "cats",
+	"do", "doe", "does", "dog", "dogs", "done", "dot",
+}
+
+// sampleWordsRU is the Russian sample dictionary, in strictly increasing index
+// order. It deliberately includes words starting with я (index 32) so the ported
+// cross-set handles alphabet indexes past JS's 31-bit shift boundary.
+var sampleWordsRU = []string{"ад", "ар", "оса", "я", "яд", "яр"}
+
+// sampleFixture is the JSON committed with the .dawg so the TypeScript cursor test
+// knows the exact word set (as alphabet indexes) to expect from enumeration.
+type sampleFixture struct {
+	Alphabet string   `json:"alphabet"`
+	NumAdded int      `json:"numAdded"`
+	Words    []string `json:"words"`
+	Indexes  [][]int  `json:"indexes"`
+}
+
+// genFixture is the move-generation golden set for one sample dictionary.
+type genFixture struct {
+	Ruleset genRuleset `json:"ruleset"`
+	Cases   []genCase  `json:"cases"`
+}
+
+// genRuleset is the scoring data the TS side rebuilds so evaluate() matches the Go
+// solver: letter values, premium multipliers per square, the centre, rack size and bonus.
+type genRuleset struct {
+	Size       int     `json:"size"`
+	Cols       int     `json:"cols"`
+	Center     int     `json:"center"`
+	RackSize   int     `json:"rackSize"`
+	Bingo      int     `json:"bingo"`
+	Values     []int   `json:"values"`
+	LetterMult [][]int `json:"letterMult"`
+	WordMult   [][]int `json:"wordMult"`
+}
+
+// genTile is one placed tile (a board tile or a move placement).
+type genTile struct {
+	Row    int  `json:"row"`
+	Col    int  `json:"col"`
+	Letter int  `json:"letter"`
+	Blank  bool `json:"blank"`
+}
+
+// genRack is a rack as a multiset of letter indexes plus a blank count.
+type genRack struct {
+	Letters []int `json:"letters"`
+	Blanks  int   `json:"blanks"`
+}
+
+// genMove is one ranked generated play: its orientation, placed tiles and total score.
+type genMove struct {
+	Dir   int       `json:"dir"`
+	Tiles []genTile `json:"tiles"`
+	Score int       `json:"score"`
+}
+
+// genCase is one generation position: the tiles already on the board (empty when
+// none), the rack, the mode/rule and the ranked moves the solver returns.
+type genCase struct {
+	Name             string    `json:"name"`
+	Placed           []genTile `json:"placed"`
+	Rack             genRack   `json:"rack"`
+	Mode             int       `json:"mode"`
+	IgnoreCrossWords bool      `json:"ignoreCrossWords"`
+	Moves            []genMove `json:"moves"`
+}
+
+func main() {
+	out := flag.String("out", "ui/src/lib/dict/testdata", "output directory for fixtures")
+	flag.Parse()
+
+	if err := os.MkdirAll(*out, 0o755); err != nil {
+		log.Fatalf("movegen: mkdir %s: %v", *out, err)
+	}
+
+	buildSample(*out, "en", rules.English(), sampleWordsEN, []genCase{
+		emptyCase("empty-cared", englishRack("caredts", 0), scrabble.Both, false),
+		emptyCase("empty-dogs", englishRack("dogsent", 0), scrabble.Both, false),
+		emptyCase("empty-blank", englishRack("caret", 1), scrabble.Both, false),
+		emptyCase("empty-single-word", englishRack("caredts", 0), scrabble.Both, true),
+	})
+
+	buildSample(*out, "ru", rules.RussianScrabble(), sampleWordsRU, []genCase{
+		emptyCase("empty-yad", russianRack("ядрасо", 0), scrabble.Both, false),
+	})
+}
+
+// buildSample writes the dawg, the word fixture and the generation golden set for
+// one sample dictionary. Two-ply cases are appended: the solver's own top move from
+// the first non-empty result is applied, then generation runs again on the new rack.
+func buildSample(out, tag string, rs *rules.Ruleset, words []string, cases []genCase) {
+	idx := rs.Alphabet
+	b := dawg.New(idx)
+	indexes := make([][]int, 0, len(words))
+	for _, w := range words {
+		if err := b.Add(w); err != nil {
+			log.Fatalf("movegen[%s]: add %q: %v", tag, w, err)
+		}
+		enc, err := idx.Encode(w)
+		if err != nil {
+			log.Fatalf("movegen[%s]: encode %q: %v", tag, w, err)
+		}
+		ints := make([]int, len(enc))
+		for i, x := range enc {
+			ints[i] = int(x)
+		}
+		indexes = append(indexes, ints)
+	}
+	finder := b.Finish()
+
+	writeJSON(filepath.Join(out, "sample_"+tag+".words.json"), sampleFixture{
+		Alphabet: tag, NumAdded: finder.NumAdded(), Words: words, Indexes: indexes,
+	})
+	dawgPath := filepath.Join(out, "sample_"+tag+".dawg")
+	if _, err := finder.Save(dawgPath); err != nil {
+		log.Fatalf("movegen[%s]: save %s: %v", tag, dawgPath, err)
+	}
+
+	s := scrabble.NewSolver(rs, finder)
+	for i := range cases {
+		runCase(s, rs, &cases[i], nil)
+	}
+	// A two-ply position from the first standard case that produced a move.
+	if two := twoPly(s, rs, cases); two != nil {
+		cases = append(cases, *two)
+	}
+
+	writeJSON(filepath.Join(out, "sample_"+tag+".gen.json"), genFixture{
+		Ruleset: rulesetOf(rs), Cases: cases,
+	})
+	log.Printf("movegen[%s]: %d words, %d cases", tag, finder.NumAdded(), len(cases))
+}
+
+// runCase fills a case's Moves by generating on a board holding the given placed
+// tiles (nil = empty board).
+func runCase(s *scrabble.Solver, rs *rules.Ruleset, c *genCase, placed []genTile) {
+	bd := board.New(rs.Rows, rs.Cols)
+	for _, t := range placed {
+		bd.Set(t.Row, t.Col, cellByte(t.Letter, t.Blank))
+	}
+	c.Placed = placed
+	rk := toRack(rs.Size(), c.Rack)
+	moves := s.GenerateMovesOpts(bd, rk, scrabble.Mode(c.Mode), scrabble.PlayOptions{IgnoreCrossWords: c.IgnoreCrossWords})
+	c.Moves = movesOf(moves)
+}
+
+// twoPly reaches a mid-game position by applying the top move of the first standard
+// case that generated one, then generates again with a fresh rack of the same tiles.
+func twoPly(s *scrabble.Solver, rs *rules.Ruleset, cases []genCase) *genCase {
+	for _, c := range cases {
+		if c.IgnoreCrossWords || len(c.Moves) == 0 {
+			continue
+		}
+		placed := c.Moves[0].Tiles
+		next := genCase{Name: "two-ply", Rack: c.Rack, Mode: int(scrabble.Both)}
+		runCase(s, rs, &next, placed)
+		return &next
+	}
+	return nil
+}
+
+// cellByte encodes a board cell the way internal/encoding.Cell does (bits 0-5 hold
+// letter+1, bit 7 marks a blank). Duplicated here because that package is internal
+// to the solver module and cannot be imported.
+func cellByte(letter int, blank bool) byte {
+	v := byte(letter+1) & 0x3f
+	if blank {
+		v |= 0x80
+	}
+	return v
+}
+
+func toRack(size int, r genRack) rack.Rack {
+	rk := rack.New(size)
+	for _, l := range r.Letters {
+		rk.Add(byte(l))
+	}
+	for i := 0; i < r.Blanks; i++ {
+		rk.AddBlank()
+	}
+	return rk
+}
+
+func rulesetOf(rs *rules.Ruleset) genRuleset {
+	lm := make([][]int, rs.Rows)
+	wm := make([][]int, rs.Rows)
+	for r := 0; r < rs.Rows; r++ {
+		lm[r] = make([]int, rs.Cols)
+		wm[r] = make([]int, rs.Cols)
+		for c := 0; c < rs.Cols; c++ {
+			p := rs.Premium(r, c)
+			lm[r][c] = p.LetterMult()
+			wm[r][c] = p.WordMult()
+		}
+	}
+	return genRuleset{
+		Size: rs.Size(), Cols: rs.Cols, Center: rs.Center, RackSize: rs.RackSize,
+		Bingo: rs.Bingo, Values: rs.Values, LetterMult: lm, WordMult: wm,
+	}
+}
+
+func movesOf(ms []scrabble.Move) []genMove {
+	out := make([]genMove, len(ms))
+	for i, m := range ms {
+		out[i] = genMove{Dir: int(m.Dir), Tiles: tilesOf(m.Tiles), Score: m.Score}
+	}
+	return out
+}
+
+func tilesOf(ps []scrabble.Placement) []genTile {
+	out := make([]genTile, len(ps))
+	for i, p := range ps {
+		out[i] = genTile{Row: p.Row, Col: p.Col, Letter: int(p.Letter), Blank: p.Blank}
+	}
+	return out
+}
+
+// emptyCase builds an empty-board case (Moves filled later by runCase).
+func emptyCase(name string, r genRack, mode scrabble.Mode, ignoreCross bool) genCase {
+	return genCase{Name: name, Rack: r, Mode: int(mode), IgnoreCrossWords: ignoreCross}
+}
+
+// englishRack builds a rack from lowercase a-z letters (index = letter-'a').
+func englishRack(letters string, blanks int) genRack {
+	idx := make([]int, 0, len(letters))
+	for _, ch := range letters {
+		idx = append(idx, int(ch-'a'))
+	}
+	return genRack{Letters: idx, Blanks: blanks}
+}
+
+// russianRack builds a rack from the Russian sample letters used above.
+func russianRack(letters string, blanks int) genRack {
+	m := map[rune]int{'а': 0, 'д': 4, 'о': 15, 'р': 17, 'с': 18, 'я': 32}
+	idx := make([]int, 0, len([]rune(letters)))
+	for _, ch := range letters {
+		i, ok := m[ch]
+		if !ok {
+			log.Fatalf("movegen: russianRack: no index for %q", string(ch))
+		}
+		idx = append(idx, i)
+	}
+	return genRack{Letters: idx, Blanks: blanks}
+}
+
+func writeJSON(path string, v any) {
+	data, err := json.MarshalIndent(v, "", "  ")
+	if err != nil {
+		log.Fatalf("movegen: marshal %s: %v", path, err)
+	}
+	if err := os.WriteFile(path, append(data, '\n'), 0o644); err != nil {
+		log.Fatalf("movegen: write %s: %v", path, err)
+	}
+}

ui/src/lib/dict/dawg.cursor.test.ts

@@ -0,0 +1,68 @@
+import { describe, it, expect } from 'vitest';
+import { readFileSync } from 'node:fs';
+import { Dawg } from './dawg';
+
+// The step-by-step DAWG cursor (root/final/next/arcs) is the primitive the move
+// generator walks. These fast unit tests pin it against a small committed sample
+// dictionary (backend/cmd/movegen); the full parity vs the Go solver lands with
+// the generator's conformance fixtures.
+const bytes = new Uint8Array(readFileSync(new URL('./testdata/sample_en.dawg', import.meta.url)));
+const fixture = JSON.parse(
+  readFileSync(new URL('./testdata/sample_en.words.json', import.meta.url), 'utf8'),
+) as { numAdded: number; words: string[]; indexes: number[][] };
+
+const key = (w: number[]): string => w.join(',');
+
+// enumerateWords walks the whole automaton depth-first, collecting the index path
+// at every accepting node — i.e. every stored word.
+function enumerateWords(d: Dawg): number[][] {
+  const out: number[][] = [];
+  const path: number[] = [];
+  const visit = (node: number): void => {
+    d.arcs(node, (label, dest, final) => {
+      path.push(label);
+      if (final) out.push(path.slice());
+      visit(dest);
+      path.pop();
+      return true;
+    });
+  };
+  if (d.final(d.root())) out.push([]);
+  visit(d.root());
+  return out;
+}
+
+describe('dawg cursor', () => {
+  it('parses the sample fixture', () => {
+    const d = new Dawg(bytes);
+    expect(d.numAdded).toBe(fixture.numAdded);
+  });
+
+  it('root is not an accepting state (the sample has no empty word)', () => {
+    const d = new Dawg(bytes);
+    expect(d.final(d.root())).toBe(false);
+  });
+
+  it('enumerates exactly the stored words', () => {
+    const d = new Dawg(bytes);
+    const got = enumerateWords(d).map(key).sort();
+    const want = fixture.indexes.map(key).sort();
+    expect(got).toEqual(want);
+  });
+
+  it('next walks a stored word to an accepting node and rejects a non-edge', () => {
+    const d = new Dawg(bytes);
+    let node = d.root();
+    for (const ch of [2, 0, 17, 4, 3]) {
+      // "cared"
+      node = d.next(node, ch);
+      expect(node).toBeGreaterThanOrEqual(0);
+    }
+    expect(d.final(node)).toBe(true);
+    // "care" (index [2,0,17,4]) is an internal accepting node on the way to "cared".
+    const care = [2, 0, 17, 4].reduce((n, ch) => d.next(n, ch), d.root());
+    expect(d.final(care)).toBe(true);
+    // No stored word starts with 'z' (index 25).
+    expect(d.next(d.root(), 25)).toBe(-1);
+  });
+});

ui/src/lib/dict/dawg.ts

@@ -95,6 +95,85 @@ export class Dawg {
     return this.indexOf(word) >= 0;
   }
 
+  // --- Step-by-step traversal (the move generator's primitive) ---------------
+  //
+  // A `Node` is a bit offset into the graph; 0 denotes the root (which resolves
+  // to firstNodeOffset). These mirror dafsa's traverse.go Cursor (Root/Final/
+  // Next/Arcs) over the same bitstream this reader already decodes, so the ported
+  // generator can drive the automaton one transition at a time. Single-threaded
+  // JS shares this reader's position across calls; every method re-seeks to its
+  // node on entry, and arcs brackets the callback with a save/restore, so nested
+  // use during a walk is safe. Mirrors dafsa (*Cursor).
+
+  /** root returns the start state of the automaton. */
+  root(): number {
+    return 0;
+  }
+
+  /** final reports whether node is an accepting state (a stored word ends there). */
+  final(node: number): boolean {
+    if (this.numEdges <= 0) {
+      return this.hasEmptyWord && node === 0;
+    }
+    this.p = node === 0 ? this.firstNodeOffset : node;
+    return this.readBits(1) === 1;
+  }
+
+  /**
+   * next follows the edge labelled ch (an alphabet index) from node, returning the
+   * destination node, or -1 when no such edge exists.
+   */
+  next(node: number, ch: number): number {
+    return this.getEdge(node, ch) ? this.eNode : -1;
+  }
+
+  /**
+   * arcs calls fn for each out-edge of node in ascending label order, passing the
+   * edge's label, its destination node and whether that destination is accepting.
+   * It stops early if fn returns false. Mirrors dafsa (*Cursor).Arcs.
+   */
+  arcs(node: number, fn: (label: number, dest: number, final: boolean) => boolean): void {
+    if (this.numEdges <= 0) {
+      return;
+    }
+    this.p = node === 0 ? this.firstNodeOffset : node;
+    this.readBits(1); // node final flag — not needed here
+    const fallthrough = this.readBits(1);
+
+    if (fallthrough === 1) {
+      const label = this.readBits(this.cbits);
+      // The reader now sits at the destination node, whose first bit is its final flag.
+      const dest = this.p;
+      const final = this.readBits(1) === 1;
+      fn(label, dest, final);
+      return;
+    }
+
+    const nskiplen = bitsLen(this.wbits);
+    let nskip = 0;
+    let numEdges = 1;
+    if (this.readBits(1) !== 1) {
+      // not a single edge
+      numEdges = this.readUnsigned();
+      nskip = this.readBits(nskiplen);
+    }
+
+    for (let i = 0; i < numEdges; i++) {
+      const label = this.readBits(this.cbits);
+      if (i > 0) {
+        this.readBits(nskip); // per-edge skip count, unused for traversal
+      }
+      const dest = this.readBits(this.abits);
+      const resume = this.p;
+      this.p = dest;
+      const final = this.readBits(1) === 1;
+      if (!fn(label, dest, final)) {
+        return;
+      }
+      this.p = resume;
+    }
+  }
+
   // getEdge resolves the outgoing edge for ch from the node at the given bit
   // offset. On success it fills eNode/eCount/eFinal and returns true. Mirrors
   // dafsa (*dawg).getEdge.

ui/src/lib/dict/generate.parity.test.ts

@@ -0,0 +1,99 @@
+import { describe, it, expect } from 'vitest';
+import { readFileSync } from 'node:fs';
+import { Dawg } from './dawg';
+import { generateMoves, GenRack, type GenBoard, type Mode } from './generate';
+import type { Ruleset } from './validate';
+
+// Conformance gate for the ported move generator: for each committed position it must
+// return exactly the ranked play list the real Go solver returns (backend/cmd/movegen).
+// The Russian sample reaches alphabet index 32, exercising the 33-letter cross-set.
+
+interface Tile {
+  row: number;
+  col: number;
+  letter: number;
+  blank: boolean;
+}
+interface GenMove {
+  dir: number;
+  tiles: Tile[];
+  score: number;
+}
+interface Fixture {
+  ruleset: {
+    size: number;
+    cols: number;
+    center: number;
+    rackSize: number;
+    bingo: number;
+    values: number[];
+    letterMult: number[][];
+    wordMult: number[][];
+  };
+  cases: {
+    name: string;
+    placed: Tile[] | null;
+    rack: { letters: number[]; blanks: number };
+    mode: number;
+    ignoreCrossWords: boolean;
+    moves: GenMove[];
+  }[];
+}
+
+function load(tag: string): { dawg: Dawg; fx: Fixture } {
+  const bytes = new Uint8Array(readFileSync(new URL(`./testdata/sample_${tag}.dawg`, import.meta.url)));
+  const fx = JSON.parse(
+    readFileSync(new URL(`./testdata/sample_${tag}.gen.json`, import.meta.url), 'utf8'),
+  ) as Fixture;
+  return { dawg: new Dawg(bytes), fx };
+}
+
+function buildBoard(placed: Tile[], cols: number): GenBoard {
+  const grid: ({ letter: number; blank: boolean } | null)[] = new Array(cols * cols).fill(null);
+  for (const t of placed) grid[t.row * cols + t.col] = { letter: t.letter, blank: t.blank };
+  const inBounds = (r: number, c: number): boolean => r >= 0 && r < cols && c >= 0 && c < cols;
+  return {
+    rows: cols,
+    cols,
+    inBounds,
+    filled: (r, c) => inBounds(r, c) && grid[r * cols + c] !== null,
+    cellAt: (r, c) => grid[r * cols + c]!,
+    isEmpty: () => placed.length === 0,
+  };
+}
+
+function rulesetFor(fx: Fixture, ignoreCrossWords: boolean): Ruleset {
+  const r = fx.ruleset;
+  return {
+    cols: r.cols,
+    center: r.center,
+    rackSize: r.rackSize,
+    bingo: r.bingo,
+    values: r.values,
+    letterMult: (row, col) => r.letterMult[row][col],
+    wordMult: (row, col) => r.wordMult[row][col],
+    ignoreCrossWords,
+  };
+}
+
+// sig is an order-stable signature of a move: orientation, score and its placed tiles
+// sorted by square — so two lists compare equal iff they rank the same plays the same way.
+function sig(m: GenMove): string {
+  const ts = m.tiles.slice().sort((a, b) => (a.row !== b.row ? a.row - b.row : a.col - b.col));
+  return `${m.dir}#${m.score}#` + ts.map((t) => `${t.row},${t.col},${t.letter}${t.blank ? '*' : ''}`).join(';');
+}
+
+for (const tag of ['en', 'ru']) {
+  describe(`move generator parity vs Go solver (${tag})`, () => {
+    const { dawg, fx } = load(tag);
+    for (const c of fx.cases) {
+      it(c.name, () => {
+        const board = buildBoard(c.placed ?? [], fx.ruleset.cols);
+        const rack = GenRack.from(fx.ruleset.size, c.rack.letters, c.rack.blanks);
+        const rs = rulesetFor(fx, c.ignoreCrossWords);
+        const got = generateMoves(dawg, board, rack, rs, c.mode as Mode);
+        expect(got.map(sig)).toEqual(c.moves.map(sig));
+      });
+    }
+  });
+}

ui/src/lib/dict/generate.ts

@@ -0,0 +1,418 @@
+// Local move generator: every legal play for a rack on a board, ranked by
+// descending score. Ported from the scrabble-solver engine — the Appel-Jacobson
+// two-phase algorithm (LeftPart then ExtendRight) over a plain left-to-right DAWG
+// (scrabble/gen_dawg.go, gen.go, crossset.go, solver.go, key.go). It walks the DAWG
+// with the cursor from dawg.ts and scores each play with evaluate() from validate.ts,
+// so the whole robot brain runs on-device. Faithfulness to the Go solver is pinned by
+// generate.parity.test.ts against golden fixtures (backend/cmd/movegen).
+//
+// Everything works in alphabet-index space, mirroring the Go engine. A letterSet is
+// a per-square cross-set (the letters that form a legal perpendicular word there);
+// it is a boolean membership array rather than a uint64, so alphabet indexes past
+// JS's 31-bit shift boundary (Russian has 33 letters) are handled exactly.
+
+import { Dawg } from './dawg';
+import {
+  evaluate,
+  connected,
+  Horizontal,
+  Vertical,
+  type Board,
+  type Ruleset,
+  type Move,
+  type Placement,
+  type Direction,
+} from './validate';
+
+/** Both generates across plays (on the board) and down plays (on its transpose). */
+export const Both = 0;
+/** OnlyHorizontal generates across plays only. */
+export const OnlyHorizontal = 1;
+/** OnlyVertical generates down plays only (Эрудит plays a single orientation per turn). */
+export const OnlyVertical = 2;
+export type Mode = typeof Both | typeof OnlyHorizontal | typeof OnlyVertical;
+
+function modeIncludes(mode: Mode, dir: Direction): boolean {
+  if (mode === Both) return true;
+  if (mode === OnlyHorizontal) return dir === Horizontal;
+  return dir === Vertical;
+}
+
+/**
+ * GenBoard is the board view the generator needs: the validator's read view plus the
+ * dimensions it iterates over. The whole board is square, so a transposed view (below)
+ * satisfies the same shape.
+ */
+export interface GenBoard extends Board {
+  rows: number;
+  cols: number;
+}
+
+/**
+ * GenRack is a rack as per-letter tile counts plus a blank slot, mirroring
+ * scrabble-solver/rack. The generator mutates a single rack in place — removing a
+ * tile, recursing, putting it back — so the operations are O(1) and allocation-free.
+ */
+export class GenRack {
+  private readonly counts: Int32Array;
+
+  /** Construct an empty rack for an alphabet of the given size (a trailing blank slot). */
+  constructor(size: number) {
+    this.counts = new Int32Array(size + 1);
+  }
+
+  /** from builds a rack from a multiset of letter indexes plus a blank count. */
+  static from(size: number, letters: readonly number[], blanks: number): GenRack {
+    const r = new GenRack(size);
+    for (const l of letters) r.counts[l]++;
+    r.counts[size] += blanks;
+    return r;
+  }
+
+  /** has reports whether at least one tile of the letter index is on the rack. */
+  has(letter: number): boolean {
+    return this.counts[letter] > 0;
+  }
+  /** blanks returns how many blank tiles are on the rack. */
+  blanks(): number {
+    return this.counts[this.counts.length - 1];
+  }
+  remove(letter: number): void {
+    this.counts[letter]--;
+  }
+  add(letter: number): void {
+    this.counts[letter]++;
+  }
+  removeBlank(): void {
+    this.counts[this.counts.length - 1]--;
+  }
+  addBlank(): void {
+    this.counts[this.counts.length - 1]++;
+  }
+  /** clone returns an independent copy. */
+  clone(): GenRack {
+    const c = new GenRack(this.counts.length - 1);
+    c.counts.set(this.counts);
+    return c;
+  }
+}
+
+// --- cross-sets ------------------------------------------------------------------
+//
+// A LetterSet is membership over alphabet letter indexes. Mirrors scrabble.letterSet
+// (a uint64) but as a Uint8Array so index 32 (Russian) is exact under JS bit ops.
+type LetterSet = Uint8Array;
+
+function fullSet(size: number): LetterSet {
+  return new Uint8Array(size).fill(1);
+}
+
+// walk follows word (alphabet indexes) left to right from the root; -1 if it derails.
+function walk(dawg: Dawg, word: readonly number[]): number {
+  let n = dawg.root();
+  for (const l of word) {
+    n = dawg.next(n, l);
+    if (n < 0) return -1;
+  }
+  return n;
+}
+
+// completers returns the letters X (< size) whose arc from state leads directly to an
+// accepting node — the deterministic cross-set primitive. Mirrors scrabble.completers.
+function completers(dawg: Dawg, state: number, size: number): LetterSet {
+  const set = new Uint8Array(size);
+  dawg.arcs(state, (label, _dest, final) => {
+    if (final && label < size) set[label] = 1;
+    return true;
+  });
+  return set;
+}
+
+// dawgCrossSet returns the letters X for which above·X·below is a stored word. Mirrors
+// scrabble.dawgCrossSet: a right extension (no tiles below) just completes the prefix
+// above; a left extension (tiles below) probes each X. above/below are letter indexes.
+function dawgCrossSet(dawg: Dawg, above: number[], below: number[], size: number): LetterSet {
+  if (above.length === 0 && below.length === 0) return fullSet(size);
+  if (below.length === 0) {
+    const node = walk(dawg, above);
+    if (node < 0) return new Uint8Array(size);
+    return completers(dawg, node, size);
+  }
+  let node = dawg.root();
+  if (above.length > 0) {
+    node = walk(dawg, above);
+    if (node < 0) return new Uint8Array(size);
+  }
+  const set = new Uint8Array(size);
+  for (let x = 0; x < size; x++) {
+    let m = dawg.next(node, x);
+    if (m < 0) continue;
+    let ok = true;
+    for (const l of below) {
+      m = dawg.next(m, l);
+      if (m < 0) {
+        ok = false;
+        break;
+      }
+    }
+    if (ok && dawg.final(m)) set[x] = 1;
+  }
+  return set;
+}
+
+// columnContext returns the contiguous run of filled cells immediately above and below
+// the empty square (r, c), each top to bottom, as letter indexes — the tiles a
+// perpendicular word through (r, c) would include. Mirrors scrabble.columnContext.
+function columnContext(b: GenBoard, r: number, c: number): { above: number[]; below: number[] } {
+  const above: number[] = [];
+  let start = r;
+  while (start - 1 >= 0 && b.filled(start - 1, c)) start--;
+  for (let rr = start; rr < r; rr++) above.push(b.cellAt(rr, c).letter);
+
+  const below: number[] = [];
+  let end = r;
+  while (end + 1 < b.rows && b.filled(end + 1, c)) end++;
+  for (let rr = r + 1; rr <= end; rr++) below.push(b.cellAt(rr, c).letter);
+  return { above, below };
+}
+
+// transpose returns a view of b with rows and columns swapped, so down-play generation
+// runs as across generation. Mirrors board.Transpose (as a lazy view).
+function transpose(b: GenBoard): GenBoard {
+  return {
+    rows: b.cols,
+    cols: b.rows,
+    inBounds: (r, c) => b.inBounds(c, r),
+    filled: (r, c) => b.filled(c, r),
+    cellAt: (r, c) => b.cellAt(c, r),
+    isEmpty: () => b.isEmpty(),
+  };
+}
+
+// A tentatively placed left-part tile; its column is fixed only at record time.
+interface TileInfo {
+  letter: number;
+  blank: boolean;
+}
+
+// AcrossGen carries one across-generation pass over a board. Mirrors scrabble.acrossGen.
+class AcrossGen {
+  private row = 0;
+  private readonly left: TileInfo[] = [];
+  private readonly right: Placement[] = [];
+
+  constructor(
+    private readonly dawg: Dawg,
+    private readonly bd: GenBoard,
+    private readonly rk: GenRack,
+    private readonly cross: (r: number, c: number) => LetterSet,
+    private readonly emit: (placements: Placement[]) => void,
+  ) {}
+
+  generateRow(row: number, firstMove: boolean, centerRow: number, centerCol: number): void {
+    this.row = row;
+    let limit = 0;
+    for (let col = 0; col < this.bd.cols; col++) {
+      if (this.bd.filled(row, col)) {
+        limit = 0;
+        continue;
+      }
+      const anchor = firstMove ? row === centerRow && col === centerCol : this.hasFilledNeighbor(row, col);
+      if (!anchor) {
+        limit++;
+        continue;
+      }
+      this.left.length = 0;
+      this.right.length = 0;
+      if (col > 0 && this.bd.filled(row, col - 1)) {
+        const pre = this.walkPrefix(row, col);
+        if (pre.ok) this.extendRight(pre.node, col, col);
+      } else {
+        this.leftPart(this.dawg.root(), col, limit);
+      }
+      limit = 0;
+    }
+  }
+
+  private hasFilledNeighbor(r: number, c: number): boolean {
+    return this.bd.filled(r - 1, c) || this.bd.filled(r + 1, c) || this.bd.filled(r, c - 1) || this.bd.filled(r, c + 1);
+  }
+
+  // walkPrefix walks the DAWG through the filled run ending at col-1, returning the
+  // node reached and whether that prefix exists. Mirrors scrabble.acrossGen.walkPrefix.
+  private walkPrefix(row: number, col: number): { node: number; ok: boolean } {
+    let start = col - 1;
+    while (start - 1 >= 0 && this.bd.filled(row, start - 1)) start--;
+    let node = this.dawg.root();
+    for (let c = start; c < col; c++) {
+      node = this.dawg.next(node, this.bd.cellAt(row, c).letter);
+      if (node < 0) return { node, ok: false };
+    }
+    return { node, ok: true };
+  }
+
+  // leftPart places left-part tiles from the rack (up to limit), calling extendRight
+  // after each prefix. Mirrors scrabble.acrossGen.leftPart.
+  private leftPart(node: number, anchorCol: number, limit: number): void {
+    this.extendRight(node, anchorCol, anchorCol);
+    if (limit === 0) return;
+    this.dawg.arcs(node, (label, dest) => {
+      if (this.rk.has(label)) {
+        this.rk.remove(label);
+        this.left.push({ letter: label, blank: false });
+        this.leftPart(dest, anchorCol, limit - 1);
+        this.left.pop();
+        this.rk.add(label);
+      }
+      if (this.rk.blanks() > 0) {
+        this.rk.removeBlank();
+        this.left.push({ letter: label, blank: true });
+        this.leftPart(dest, anchorCol, limit - 1);
+        this.left.pop();
+        this.rk.addBlank();
+      }
+      return true;
+    });
+  }
+
+  // extendRight extends the word rightward from col, placing rack tiles on empty
+  // squares (constrained by cross-sets) and following board tiles. A word is recorded
+  // only past the anchor. Mirrors scrabble.acrossGen.extendRight.
+  private extendRight(node: number, col: number, anchorCol: number): void {
+    if (col >= this.bd.cols) {
+      if (col > anchorCol && this.dawg.final(node)) this.record(anchorCol);
+      return;
+    }
+    if (this.bd.filled(this.row, col)) {
+      const dest = this.dawg.next(node, this.bd.cellAt(this.row, col).letter);
+      if (dest >= 0) this.extendRight(dest, col + 1, anchorCol);
+      return;
+    }
+
+    if (col > anchorCol && this.dawg.final(node)) this.record(anchorCol);
+    const cross = this.cross(this.row, col);
+    this.dawg.arcs(node, (label, dest) => {
+      if (cross[label] !== 1) return true;
+      if (this.rk.has(label)) {
+        this.rk.remove(label);
+        this.right.push({ row: this.row, col, letter: label, blank: false });
+        this.extendRight(dest, col + 1, anchorCol);
+        this.right.pop();
+        this.rk.add(label);
+      }
+      if (this.rk.blanks() > 0) {
+        this.rk.removeBlank();
+        this.right.push({ row: this.row, col, letter: label, blank: true });
+        this.extendRight(dest, col + 1, anchorCol);
+        this.right.pop();
+        this.rk.addBlank();
+      }
+      return true;
+    });
+  }
+
+  // record assembles the play (left part at fixed columns, then the right part) and
+  // reports it, skipping plays that lay no new tile. Mirrors scrabble.acrossGen.record.
+  private record(anchorCol: number): void {
+    if (this.left.length + this.right.length === 0) return;
+    const placements: Placement[] = [];
+    const leftStart = anchorCol - this.left.length;
+    for (let i = 0; i < this.left.length; i++) {
+      placements.push({ row: this.row, col: leftStart + i, letter: this.left[i].letter, blank: this.left[i].blank });
+    }
+    for (const p of this.right) placements.push(p);
+    this.emit(placements);
+  }
+}
+
+// runAcross generates all across plays on bd and reports each via emit in bd's
+// coordinates. Cross-sets are computed lazily (vertical words on bd) and cached.
+// Mirrors DAWGGenerator.runAcross.
+function runAcross(
+  dawg: Dawg,
+  bd: GenBoard,
+  rk: GenRack,
+  size: number,
+  rs: Ruleset,
+  centerRow: number,
+  centerCol: number,
+  emit: (placements: Placement[]) => void,
+): void {
+  let crossFn: (r: number, c: number) => LetterSet;
+  if (rs.ignoreCrossWords) {
+    const full = fullSet(size);
+    crossFn = () => full;
+  } else {
+    const cache = new Array<LetterSet | undefined>(bd.rows * bd.cols);
+    crossFn = (r, c) => {
+      const i = r * bd.cols + c;
+      let s = cache[i];
+      if (!s) {
+        const { above, below } = columnContext(bd, r, c);
+        s = dawgCrossSet(dawg, above, below, size);
+        cache[i] = s;
+      }
+      return s;
+    };
+  }
+
+  const ag = new AcrossGen(dawg, bd, rk, crossFn, emit);
+  const firstMove = bd.isEmpty();
+  for (let row = 0; row < bd.rows; row++) {
+    ag.generateRow(row, firstMove, centerRow, centerCol);
+  }
+}
+
+// moveKey is a canonical string identifying a play (direction plus its placed tiles),
+// used to de-duplicate and rank generated moves. Mirrors scrabble.moveKey.
+export function moveKey(dir: Direction, placements: readonly Placement[]): string {
+  const ps = placements.slice().sort((a, b) => (a.row !== b.row ? a.row - b.row : a.col - b.col));
+  let s = String(dir);
+  for (const p of ps) s += `;${p.row},${p.col},${p.letter}${p.blank ? '*' : ''}`;
+  return s;
+}
+
+/**
+ * generateMoves returns every legal play for rack on board in the mode's orientations,
+ * ranked by descending score (ties broken by the canonical move key). It walks the DAWG
+ * with the cursor and scores each play with evaluate(); the alphabet size is taken from
+ * the ruleset's value table. Mirrors (*Solver).GenerateMovesOpts (the ruleset carries
+ * ignoreCrossWords for the single-word rule).
+ */
+export function generateMoves(dawg: Dawg, board: GenBoard, rack: GenRack, rs: Ruleset, mode: Mode = Both): Move[] {
+  const size = rs.values.length;
+  const rk = rack.clone(); // generation mutates the rack in place and restores it
+  const centerRow = Math.floor(rs.center / rs.cols);
+  const centerCol = rs.center % rs.cols;
+
+  const moves: Move[] = [];
+  const seen = new Set<string>();
+  const emit = (dir: Direction, placements: Placement[]): void => {
+    const key = moveKey(dir, placements);
+    if (seen.has(key)) return;
+    const res = evaluate(board, rs, dir, placements);
+    if (res.err || !res.move) return;
+    seen.add(key);
+    moves.push(res.move);
+  };
+
+  if (modeIncludes(mode, Horizontal)) {
+    runAcross(dawg, board, rk, size, rs, centerRow, centerCol, (p) => emit(Horizontal, p));
+  }
+  if (modeIncludes(mode, Vertical)) {
+    const tb = transpose(board);
+    runAcross(dawg, tb, rk, size, rs, centerCol, centerRow, (p) => {
+      const rp = p.map((pl) => ({ row: pl.col, col: pl.row, letter: pl.letter, blank: pl.blank }));
+      emit(Vertical, rp);
+    });
+  }
+
+  const kept = moves.filter((m) => connected(board, rs, m));
+  kept.sort((a, b) => {
+    if (a.score !== b.score) return b.score - a.score;
+    const ka = moveKey(a.dir, a.tiles);
+    const kb = moveKey(b.dir, b.tiles);
+    return ka < kb ? -1 : ka > kb ? 1 : 0;
+  });
+  return kept;
+}

ui/src/lib/dict/testdata/sample_en.words.json

@@ -0,0 +1,122 @@
+{
+  "alphabet": "en",
+  "numAdded": 18,
+  "words": [
+    "a",
+    "an",
+    "and",
+    "ant",
+    "car",
+    "care",
+    "cared",
+    "cares",
+    "cars",
+    "cat",
+    "cats",
+    "do",
+    "doe",
+    "does",
+    "dog",
+    "dogs",
+    "done",
+    "dot"
+  ],
+  "indexes": [
+    [
+      0
+    ],
+    [
+      0,
+      13
+    ],
+    [
+      0,
+      13,
+      3
+    ],
+    [
+      0,
+      13,
+      19
+    ],
+    [
+      2,
+      0,
+      17
+    ],
+    [
+      2,
+      0,
+      17,
+      4
+    ],
+    [
+      2,
+      0,
+      17,
+      4,
+      3
+    ],
+    [
+      2,
+      0,
+      17,
+      4,
+      18
+    ],
+    [
+      2,
+      0,
+      17,
+      18
+    ],
+    [
+      2,
+      0,
+      19
+    ],
+    [
+      2,
+      0,
+      19,
+      18
+    ],
+    [
+      3,
+      14
+    ],
+    [
+      3,
+      14,
+      4
+    ],
+    [
+      3,
+      14,
+      4,
+      18
+    ],
+    [
+      3,
+      14,
+      6
+    ],
+    [
+      3,
+      14,
+      6,
+      18
+    ],
+    [
+      3,
+      14,
+      13,
+      4
+    ],
+    [
+      3,
+      14,
+      19
+    ]
+  ]
+}

ui/src/lib/dict/testdata/sample_ru.words.json

@@ -0,0 +1,38 @@
+{
+  "alphabet": "ru",
+  "numAdded": 6,
+  "words": [
+    "ад",
+    "ар",
+    "оса",
+    "я",
+    "яд",
+    "яр"
+  ],
+  "indexes": [
+    [
+      0,
+      4
+    ],
+    [
+      0,
+      17
+    ],
+    [
+      15,
+      18,
+      0
+    ],
+    [
+      32
+    ],
+    [
+      32,
+      4
+    ],
+    [
+      32,
+      17
+    ]
+  ]
+}

ui/src/lib/dict/validate.ts

@@ -297,8 +297,9 @@ export function validatePlay(
 }
 
 // connected reports whether the play connects to the position (or covers the
-// centre on the first move). Mirrors (*Solver).connected.
+// centre on the first move). Mirrors (*Solver).connected. Exported so the move
-function connected(b: Board, rs: Ruleset, m: Move): boolean {
+// generator can apply the same post-generation connectivity filter.
+export function connected(b: Board, rs: Ruleset, m: Move): boolean {
   if (b.isEmpty()) {
     const cr = Math.floor(rs.center / rs.cols);
     const cc = rs.center % rs.cols;