merge: integrate Grave of Halo charts with Holo-work fix

UPDATES.md

@@ -1,7 +1,13 @@
 ---
-updatedAt: 2026-09-19T11:05:00.000Z
+updatedAt: 2026-09-20T04:48:31Z
 ---
 
+## 2026년 9월 20일
+
+### 홀로워크용 연결 카드 유지
+
+`IMPROVED` 연결 카드 최적화에서 활성 노란 홀로워크 노드를 증폭 중인 카드는 이론상 고점을 높이는 데 필요한 경우에만 이동합니다. 점수가 같으면 발동률 증가보다 기존 배치를 우선하며, 다른 카드의 점수 개선 때문에 불필요하게 이동한 홀로워크 카드도 복원합니다.
+
 ## 2026년 9월 19일
 
 ### Grave of Halo 악곡 추가

src/lib/engine/board-connection-refinement.test.ts

@@ -35,6 +35,65 @@ function fixture(sisters = false) {
   return { source, boards, cards, evaluate, singers };
 }
 
+function workFixture(active = true) {
+  const source: BoardConnectionOptimizerSource = {
+    members: ['work', 'score', 'other'].map((id) => ({ id, positionGroupId: id })),
+    models: Object.fromEntries(['work', 'score', 'other'].map((id) => [id, [
+      { groupId: 'S', x: 0, y: 0 }, { groupId: 'Y-work', x: 1, y: 0 }
+    ]])),
+    nodeGroups: {
+      S: [{ characterIds: [], type: 'connection', effect: null }],
+      'Y-work': [{ characterIds: [], type: 'normal', effect: {
+        trigger: 'work', type: 'work_reward_quantity_up_permil_up', value: 100
+      } }]
+    }
+  };
+  const boards = { work: active ? ['Y-work'] : [], score: [], other: [] };
+  const cards = ['worker', 'spare'].map((id) => ({ id, awakening: 0,
+    connect: [{ level: 1, effectPermilUp: 100, extent: [{ x: 1, y: 0 }] }] }));
+  return { source, boards, cards, current: { work: { S: 'worker' } } };
+}
+
+test('홀로워크 카드는 점수가 같으면 발동률 증가보다 기존 배치를 우선한다', async () => {
+  const { source, boards, cards, current } = workFixture();
+  const result = await refineBoardConnectionSongBonus(source, boards, cards, { score: { S: 'worker' } }, {
+    currentPlacements: current, songBonusEnabled: false,
+    evaluate: (p) => ({ score: 100, activationRateUp: p.score?.S === 'worker' ? 50 : 0 })
+  });
+  assert.equal(result.work.S, 'worker');
+});
+
+test('홀로워크 카드 자체가 점수를 높일 때는 이동을 허용한다', async () => {
+  const { source, boards, cards, current } = workFixture();
+  const result = await refineBoardConnectionSongBonus(source, boards, cards, current, {
+    currentPlacements: current,
+    evaluate: (p) => ({ score: p.score?.S === 'worker' ? 101 : 100, activationRateUp: 0 })
+  });
+  assert.equal(result.score.S, 'worker');
+});
+
+test('다른 카드의 점수 개선은 유지하며 불필요하게 이동한 홀로워크 카드만 복원한다', async () => {
+  const { source, boards, cards, current } = workFixture();
+  const result = await refineBoardConnectionSongBonus(source, boards, cards,
+    { score: { S: 'spare' }, other: { S: 'worker' } }, {
+      currentPlacements: current,
+      evaluate: (p) => ({ score: p.score?.S === 'spare' ? 200 : 100, activationRateUp: p.other ? 50 : 0 })
+    });
+  assert.equal(result.work.S, 'worker');
+  assert.equal(result.score.S, 'spare');
+  const ids = Object.values(result).flatMap(Object.values);
+  assert.equal(new Set(ids).size, ids.length);
+});
+
+test('활성 홀로워크 노드가 없으면 기존 발동률 동점 기준을 유지한다', async () => {
+  const { source, boards, cards, current } = workFixture(false);
+  const result = await refineBoardConnectionSongBonus(source, boards, cards, { score: { S: 'worker' } }, {
+    currentPlacements: current,
+    evaluate: (p) => ({ score: 100, activationRateUp: p.score ? 50 : 0 })
+  });
+  assert.equal(result.score.S, 'worker');
+});
+
 for (const sisters of [false, true]) {
   test(`${sisters ? '후와모코' : '유닛'} 보너스 상한을 넘기는 노란 카드를 다른 보드로 이동한다`, async () => {
     const { source, boards, cards, evaluate, singers } = fixture(sisters);

src/lib/engine/board-connection-song-refinement.ts

@@ -5,7 +5,7 @@ type Placements = Record<string, Record<string, string>>;
 type Metric = { score: number; activationRateUp: number };
 
 /** Bounded local correction for song-bonus saturation, not a global search.
- * Keep the original matching result and try moves/swaps involving song sockets.
+ * Keep the original matching result and try moves/swaps involving song/work sockets.
  * Every comparison scores the whole board, including caps and rounding.
  */
 export async function refineBoardConnectionSongBonus(
@@ -44,7 +44,14 @@ export async function refineBoardConnectionSongBonus(
           && value?.trigger !== 'work' && value?.type === 'live_score_bonus_add_permil_up_by_music_skill_tree_character_and_music_singer_type'
           && (!options.song || songBonusApplies(value, member.id, options.song));
       });
-      return { member: member.id, socket: socket.groupId, required: required.length > 0,
+      const currentCard = cards.find((card) => card.id === options.currentPlacements?.[member.id]?.[socket.groupId]);
+      const preserveWork = Boolean(currentCard && effect(currentCard)!.effectPermilUp > 0 && positions.some((position) => {
+        const value = node(position.groupId, member.id)?.effect;
+        return active.has(position.groupId) && position.groupId.startsWith('Y-')
+          && value?.trigger === 'work' && value.type === 'work_reward_quantity_up_permil_up'
+          && (value.value ?? 0) > 0 && covers(currentCard, position);
+      }));
+      return { member: member.id, socket: socket.groupId, required: required.length > 0, preserveWork,
         allowed: cards.map((card) => required.every((position) => covers(card, position))),
         focus: cards.some((card) => yellow.some((position) => covers(card, position))) };
     });
@@ -63,17 +70,20 @@ export async function refineBoardConnectionSongBonus(
     const metric = options.evaluate(encode(assignment));
     if (!Number.isFinite(metric.score) || !Number.isFinite(metric.activationRateUp)) throw new Error('연결 카드 배치 평가값이 유효하지 않습니다.');
     checks += 1;
-    return { ...metric, retained: current ? assignment.filter((index, slot) => index === current[slot]).length : 0 };
+    return { ...metric,
+      workRetained: current ? assignment.filter((index, slot) => slots[slot].preserveWork && index === current[slot]).length : 0,
+      retained: current ? assignment.filter((index, slot) => index === current[slot]).length : 0 };
   };
   type Ranked = ReturnType<typeof evaluate>;
   const better = (a: Ranked, b: Ranked) => a.score > b.score || (a.score === b.score
-    && (a.activationRateUp > b.activationRateUp || (a.activationRateUp === b.activationRateUp && a.retained > b.retained)));
+    && (a.workRetained > b.workRetained || (a.workRetained === b.workRetained
+      && (a.activationRateUp > b.activationRateUp || (a.activationRateUp === b.activationRateUp && a.retained > b.retained)))));
   let best = decode(initial);
   if (!valid(best)) throw new Error('연결 카드 초기 배치가 필수 범위 조건을 충족하지 않습니다.');
   let metric = evaluate(best);
   if (current && valid(current)) { const value = evaluate(current); if (better(value, metric)) { best = current; metric = value; } }
-  const focus = slots.flatMap((slot, index) => slot.focus ? [index] : []);
-  // At most three passes: O(3 * yellow sockets * (all sockets + owned cards)).
+  const focus = slots.flatMap((slot, index) => slot.focus || slot.preserveWork ? [index] : []);
+  // At most three search passes over song and existing work sockets.
   for (let pass = 0; pass < 3 && focus.length; pass += 1) {
     let next = best;
     let nextMetric = metric;
@@ -102,6 +112,28 @@ export async function refineBoardConnectionSongBonus(
     if (next === best) break;
     best = next; metric = nextMetric;
   }
+  // Restore each work card independently: unrelated score gains must not justify
+  // moving it. Swap with its destination (or replace an unused card), never duplicate.
+  // Repeat when another restoration makes a previously rejected swap possible.
+  if (current) {
+    let restored = true;
+    while (restored) {
+      restored = false;
+      for (const [slot, info] of slots.entries()) {
+        if (!info.preserveWork || best[slot] === current[slot]) continue;
+        const candidate = [...best];
+        const destination = candidate.indexOf(current[slot]);
+        if (destination >= 0) candidate[destination] = candidate[slot];
+        candidate[slot] = current[slot];
+        if (!valid(candidate)) continue;
+        const value = evaluate(candidate);
+        if (value.score >= metric.score && value.workRetained > metric.workRetained) {
+          best = candidate; metric = value; restored = true;
+        }
+        if (checks % 32 === 0) await options.onProgress?.(checks);
+      }
+    }
+  }
   await options.onProgress?.(checks);
   return encode(best);
 }

src/routes/analysis/+page.svelte

@@ -1169,6 +1169,7 @@
             <button type="button" class="primary" disabled={resultStale || running || connectionOptimizationRunning} on:click={optimizeConnectionPlacements}>{connectionOptimizationRunning ? '배치 탐색 중…' : '보유 카드로 최적화'}</button>
           </div>
         </div>
+        <p>단, 활성 노란 홀로워크 노드를 증폭 중인 카드는 이론상 고점을 높이는 데 필요한 경우에만 이동합니다. 점수가 같으면 발동률 증가보다 해당 카드의 기존 배치를 우선 유지합니다.</p>
         {#if connectionOptimizationProgress}
           <div class="connection-optimizer-progress" aria-live="polite">
             <div><strong>{connectionOptimizationProgress.stage}</strong>{#if connectionOptimizationProgress.total > 0}<span>{connectionOptimizationProgress.completed.toLocaleString('ko-KR')} / {connectionOptimizationProgress.total.toLocaleString('ko-KR')}</span>{/if}</div>