feat(content): function signatures + test cases

backend/data/questions/combination-sum-iii.yaml

@@ -9,6 +9,30 @@ categories:
 patterns:
   - backtracking
 
+function_signature: "def combination_sum3(k: int, n: int) -> list[list[int]]:"
+
+test_cases:
+  visible:
+    - input: { k: 3, n: 7 }
+      expected: [[1, 2, 4]]
+    - input: { k: 3, n: 9 }
+      expected: [[1, 2, 6], [1, 3, 5], [2, 3, 4]]
+    - input: { k: 4, n: 1 }
+      expected: []
+  hidden:
+    - input: { k: 2, n: 3 }
+      expected: [[1, 2]]
+    - input: { k: 2, n: 17 }
+      expected: [[8, 9]]
+    - input: { k: 2, n: 18 }
+      expected: []
+    - input: { k: 9, n: 45 }
+      expected: [[1, 2, 3, 4, 5, 6, 7, 8, 9]]
+    - input: { k: 3, n: 15 }
+      expected: [[1, 5, 9], [1, 6, 8], [2, 4, 9], [2, 5, 8], [2, 6, 7], [3, 4, 8], [3, 5, 7], [4, 5, 6]]
+    - input: { k: 5, n: 15 }
+      expected: [[1, 2, 3, 4, 5]]
+
 description: |
   Find all valid combinations of `k` numbers that sum up to `n` such that the following conditions are true: