feat(admin/problemset): add schema definition for new problem

src/components/features/dashboard/admin/problemset/new/schema.ts

@@ -0,0 +1,11 @@
+import { z } from "zod";
+import { ProblemSchema } from "@/generated/zod";
+
+export const problemSchema = ProblemSchema.extend({
+  displayId: z.coerce.number().int().positive().min(1),
+  title: z.string().min(1),
+  description: z.string().min(1),
+  solution: z.string().min(1),
+});
+
+export type ProblemSchema = z.infer<typeof problemSchema>;