feat: add math engine and puzzle services

backend/contest/urls.py

@@ -7,6 +7,11 @@ from .views import (
     LeaderboardView,
     MatchmakingView,
     MatchStateView,
+    MathGameCatalogView,
+    MathGameHistoryView,
+    MathGameStartView,
+    MathGameSubmitView,
+    SudokuHintView,
 )
 
 urlpatterns = [
@@ -16,4 +21,17 @@ urlpatterns = [
     path("<slug:slug>/leaderboard/", LeaderboardView.as_view(), name="leaderboard"),
     path("attempts/<uuid:attempt_id>/submit/", AttemptSubmitView.as_view(), name="attempt-submit"),
     path("matches/<uuid:match_id>/", MatchStateView.as_view(), name="match-state"),
+    path("games/", MathGameCatalogView.as_view(), name="math-game-catalog"),
+    path("games/history/", MathGameHistoryView.as_view(), name="math-game-history"),
+    path("games/<str:kind>/start/", MathGameStartView.as_view(), name="math-game-start"),
+    path(
+        "games/attempts/<uuid:attempt_id>/submit/",
+        MathGameSubmitView.as_view(),
+        name="math-game-submit",
+    ),
+    path(
+        "games/attempts/<uuid:attempt_id>/hint/",
+        SudokuHintView.as_view(),
+        name="sudoku-hint",
+    ),
 ]