로또 종합 추론 API 추가 (5가지 통계 기법 가중 투표)

- analyzer.py: generate_combined_recommendation() 함수 추가
  빈도Z(25%)·조합지문(30%)·갭(20%)·공동출현(15%)·다양성(10%) 가중 투표
- main.py: GET /api/lotto/recommend/combined 엔드포인트 추가
  결과를 태그 "종합추론"으로 recommendations 테이블에 저장
- main.py: GET /api/lotto/recommend/combined/history 엔드포인트 추가

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

backend/app/main.py

@@ -35,7 +35,7 @@ from .collector import sync_latest, sync_ensure_all
 from .generator import run_simulation, generate_smart_recommendations
 from .checker import check_results_for_draw
 from .utils import calc_metrics, calc_recent_overlap
-from .analyzer import get_statistical_report, generate_weekly_report, analyze_personal_patterns
+from .analyzer import get_statistical_report, generate_weekly_report, analyze_personal_patterns, generate_combined_recommendation
 
 app = FastAPI()
 scheduler = BackgroundScheduler(timezone=os.getenv("TZ", "Asia/Seoul"))
@@ -389,6 +389,46 @@ def api_simulation(run_id: Optional[int] = None, runs_limit: int = 5):
     }
 
 
+# ── 종합 추론 추천 ───────────────────────────────────────────────────────────
+
+@app.get("/api/lotto/recommend/combined")
+def api_recommend_combined():
+    """5가지 통계 기법 종합 추론 추천 — 결과를 이력에 저장한다."""
+    draws = get_all_draw_numbers()
+    if not draws:
+        raise HTTPException(status_code=404, detail="No data")
+
+    latest = get_latest_draw()
+    result = generate_combined_recommendation(draws)
+    if "error" in result:
+        raise HTTPException(status_code=500, detail=result["error"])
+
+    # 추천 이력 저장 (태그: 종합추론)
+    params = {"method": "combined"}
+    saved = save_recommendation_dedup(
+        latest["drw_no"] if latest else None,
+        result["final_numbers"],
+        params,
+    )
+    if saved["saved"]:
+        update_recommendation(saved["id"], tags=["종합추론"])
+
+    return {
+        **result,
+        "id": saved["id"],
+        "saved": saved["saved"],
+        "deduped": saved["deduped"],
+        "based_on_latest_draw": latest["drw_no"] if latest else None,
+    }
+
+
+@app.get("/api/lotto/recommend/combined/history")
+def api_combined_history(limit: int = 30):
+    """종합추론 추천 이력 조회."""
+    items = list_recommendations_ex(limit=limit, tag="종합추론", sort="id_desc")
+    return {"items": items, "total": len(items)}
+
+
 # ── 기존 수동 추천 API (하위 호환 유지) ─────────────────────────────────────
 @app.get("/api/lotto/recommend")
 def api_recommend(