diff --git a/problem-bank/judges.json b/problem-bank/judges.json
index 530a4d4d..8e2da96e 100644
--- a/problem-bank/judges.json
+++ b/problem-bank/judges.json
@@ -13420,6 +13420,46 @@
           ]
         ],
         "expected": -6
+      },
+      {
+        "label": "cheapest values not connected",
+        "input": [
+          [
+            [
+              -1
+            ],
+            [
+              2,
+              3
+            ],
+            [
+              1,
+              -1,
+              -3
+            ]
+          ]
+        ],
+        "expected": -1
+      },
+      {
+        "label": "cheaper step misses the deep saving",
+        "input": [
+          [
+            [
+              1
+            ],
+            [
+              2,
+              3
+            ],
+            [
+              4,
+              5,
+              -10
+            ]
+          ]
+        ],
+        "expected": -6
       }
     ],
     "paramNames": [
diff --git a/tests/web/contract.rs b/tests/web/contract.rs
index 4b3c6a5e..3dd13d97 100644
--- a/tests/web/contract.rs
+++ b/tests/web/contract.rs
@@ -686,6 +686,8 @@ fn static_problem_bank_and_judges_cover_each_problem() {
         ),
         ("merge-intervals", "unsorted"),
         ("valid-parentheses", "interleaved"),
+        ("triangle", "cheapest values not connected"),
+        ("triangle", "cheaper step misses the deep saving"),
     ] {
         let labels = judges[id]["cases"]
             .as_array()
diff --git a/web/judges/mine-level-descent.json b/web/judges/mine-level-descent.json
index 4d7b172c..0d7cc038 100644
--- a/web/judges/mine-level-descent.json
+++ b/web/judges/mine-level-descent.json
@@ -94,6 +94,46 @@
         ]
       ],
       "expected": -6
+    },
+    {
+      "label": "cheapest values not connected",
+      "input": [
+        [
+          [
+            -1
+          ],
+          [
+            2,
+            3
+          ],
+          [
+            1,
+            -1,
+            -3
+          ]
+        ]
+      ],
+      "expected": -1
+    },
+    {
+      "label": "cheaper step misses the deep saving",
+      "input": [
+        [
+          [
+            1
+          ],
+          [
+            2,
+            3
+          ],
+          [
+            4,
+            5,
+            -10
+          ]
+        ]
+      ],
+      "expected": -6
     }
   ],
   "paramNames": [