feat(阶段1): Hono 应用与题目列表接口，读通本地真实数据

apps/api/src/index.ts

@@ -0,0 +1,13 @@
+import { Hono } from "hono"
+
+import { problemRoutes } from "./routes/problem"
+
+const app = new Hono()
+
+app.get("/health", (c) => c.json({ ok: true }))
+app.route("/api", problemRoutes)
+
+export default {
+	port: 3000,
+	fetch: app.fetch,
+}