diff --git a/docs/tutorial/extensions.md b/docs/tutorial/extensions.md
index 00ca5c1d0f..43ae05a99f 100644
--- a/docs/tutorial/extensions.md
+++ b/docs/tutorial/extensions.md
@@ -286,3 +286,21 @@ return %5
 ```
 
 regardless of the bounds.
+
+Alternatively, you can use it to make sure a value can store certain integers:
+
+```python
+@fhe.compiler({"x": "encrypted", "y": "encrypted"})
+def is_vectors_same(x, y):
+    assert x.ndim != 1
+    assert y.ndim != 1
+    
+    assert len(x) == len(y)
+    n = len(x)
+    
+    number_of_same_elements = np.sum(x == y)
+    fhe.hint(number_of_same_elements, can_store=n)  # hint that number of same elements can go up to n
+    is_same = number_of_same_elements == n
+
+    return is_same
+```
diff --git a/frontends/concrete-python/concrete/fhe/extensions/hint.py b/frontends/concrete-python/concrete/fhe/extensions/hint.py
index c447d95062..8609650ee0 100644
--- a/frontends/concrete-python/concrete/fhe/extensions/hint.py
+++ b/frontends/concrete-python/concrete/fhe/extensions/hint.py
@@ -4,10 +4,16 @@
 
 from typing import Any, Optional, Union
 
+from ..dtypes import Integer
 from ..tracing import Tracer
 
 
-def hint(x: Union[Tracer, Any], *, bit_width: Optional[int] = None) -> Union[Tracer, Any]:
+def hint(
+    x: Union[Tracer, Any],
+    *,
+    bit_width: Optional[int] = None,
+    can_store: Optional[Any] = None,
+) -> Union[Tracer, Any]:
     """
     Hint the compilation process about properties of a value.
 
@@ -24,6 +30,9 @@ def hint(x: Union[Tracer, Any], *, bit_width: Optional[int] = None) -> Union[Tra
         bit_width (Optional[int], default = None):
             hint about bit width
 
+        can_store (Optional[Any], default = None):
+            hint that the value needs to be able to store the given value
+
     Returns:
         Union[Tracer, Any]:
             hinted value
@@ -32,7 +41,15 @@ def hint(x: Union[Tracer, Any], *, bit_width: Optional[int] = None) -> Union[Tra
     if not isinstance(x, Tracer):  # pragma: no cover
         return x
 
+    bit_width_hint = 0
+
     if bit_width is not None:
-        x.computation.properties["bit_width_hint"] = bit_width
+        bit_width_hint = max(bit_width_hint, bit_width)
+
+    if can_store is not None:
+        bit_width_hint = max(bit_width_hint, Integer.that_can_represent(can_store).bit_width)
+
+    if bit_width_hint > 0:
+        x.computation.properties["bit_width_hint"] = bit_width_hint
 
     return x
diff --git a/frontends/concrete-python/examples/key-value-database/dynamic-size.py b/frontends/concrete-python/examples/key-value-database/dynamic-size.py
index f4c7a10f6d..c55de94d12 100644
--- a/frontends/concrete-python/examples/key-value-database/dynamic-size.py
+++ b/frontends/concrete-python/examples/key-value-database/dynamic-size.py
@@ -43,7 +43,9 @@ def decode(encoded_number):
 
 
 def _replace_impl(key, value, candidate_key, candidate_value):
-    match = np.sum((candidate_key - key) == 0) == NUMBER_OF_KEY_CHUNKS
+    number_of_matching_chunks = np.sum((candidate_key - key) == 0)
+    fhe.hint(number_of_matching_chunks, can_store=NUMBER_OF_KEY_CHUNKS)
+    match = number_of_matching_chunks == NUMBER_OF_KEY_CHUNKS
 
     packed_match_and_value = (2**CHUNK_SIZE) * match + value
     value_if_match_else_zeros = keep_if_match_lut[packed_match_and_value]
@@ -55,7 +57,9 @@ def _replace_impl(key, value, candidate_key, candidate_value):
 
 
 def _query_impl(key, candidate_key, candidate_value):
-    match = np.sum((candidate_key - key) == 0) == NUMBER_OF_KEY_CHUNKS
+    number_of_matching_chunks = np.sum((candidate_key - key) == 0)
+    fhe.hint(number_of_matching_chunks, can_store=NUMBER_OF_KEY_CHUNKS)
+    match = number_of_matching_chunks == NUMBER_OF_KEY_CHUNKS
 
     packed_match_and_candidate_value = (2**CHUNK_SIZE) * match + candidate_value
     candidate_value_if_match_else_zeros = keep_if_match_lut[packed_match_and_candidate_value]
@@ -182,9 +186,10 @@ def query(self, key):
 
         encoded_key = encode_key(key)
 
-        accumulation = np.zeros(1 + NUMBER_OF_VALUE_CHUNKS, dtype=np.uint64)
+        accumulation = np.zeros(1 + NUMBER_OF_VALUE_CHUNKS, dtype=np.int64)
         for entry in self._state:
-            accumulation += self._query_circuit.encrypt_run_decrypt(encoded_key, *entry)
+            contribution = self._query_circuit.encrypt_run_decrypt(encoded_key, *entry)
+            accumulation += contribution
 
         match_count = accumulation[0]
         if match_count > 1:
diff --git a/frontends/concrete-python/examples/key-value-database/static-size.py b/frontends/concrete-python/examples/key-value-database/static-size.py
index 434fcd627c..c0427e189d 100644
--- a/frontends/concrete-python/examples/key-value-database/static-size.py
+++ b/frontends/concrete-python/examples/key-value-database/static-size.py
@@ -83,7 +83,10 @@ def _replace_impl(state, key, value):
     keys = state[:, KEY]
     values = state[:, VALUE]
 
-    equal_rows = np.sum((keys - key) == 0, axis=1) == NUMBER_OF_KEY_CHUNKS
+    number_of_matching_chunks = np.sum((keys - key) == 0, axis=1)
+    fhe.hint(number_of_matching_chunks, can_store=NUMBER_OF_KEY_CHUNKS)
+
+    equal_rows = number_of_matching_chunks == NUMBER_OF_KEY_CHUNKS
     selection = (flags * 2 + equal_rows == 3).reshape((-1, 1))
 
     packed_selection_and_value = selection * (2**CHUNK_SIZE) + value
@@ -103,7 +106,10 @@ def _query_impl(state, key):
     keys = state[:, KEY]
     values = state[:, VALUE]
 
-    selection = (np.sum((keys - key) == 0, axis=1) == NUMBER_OF_KEY_CHUNKS).reshape((-1, 1))
+    number_of_matching_chunks = np.sum((keys - key) == 0, axis=1)
+    fhe.hint(number_of_matching_chunks, can_store=NUMBER_OF_KEY_CHUNKS)
+
+    selection = (number_of_matching_chunks == NUMBER_OF_KEY_CHUNKS).reshape((-1, 1))
     found = np.sum(selection)
 
     packed_selection_and_values = selection * (2**CHUNK_SIZE) + values
diff --git a/frontends/concrete-python/tests/mlir/test_converter.py b/frontends/concrete-python/tests/mlir/test_converter.py
index 7063b18283..76963ebfb2 100644
--- a/frontends/concrete-python/tests/mlir/test_converter.py
+++ b/frontends/concrete-python/tests/mlir/test_converter.py
@@ -976,6 +976,32 @@ def test_converter_bad_convert(
   }
 }
 
+            """,  # noqa: E501
+        ),
+        pytest.param(
+            lambda x, y: fhe.hint(np.sum((x - y) == 0), can_store=len(x)) == len(x),
+            {
+                "x": {"range": [0, 7], "status": "encrypted", "shape": (10,)},
+                "y": {"range": [0, 7], "status": "encrypted", "shape": (10,)},
+            },
+            """
+
+module {
+  func.func @main(%arg0: tensor<10x!FHE.eint<4>>, %arg1: tensor<10x!FHE.eint<4>>) -> !FHE.eint<1> {
+    %0 = "FHELinalg.to_signed"(%arg0) : (tensor<10x!FHE.eint<4>>) -> tensor<10x!FHE.esint<4>>
+    %1 = "FHELinalg.to_signed"(%arg1) : (tensor<10x!FHE.eint<4>>) -> tensor<10x!FHE.esint<4>>
+    %2 = "FHELinalg.sub_eint"(%0, %1) : (tensor<10x!FHE.esint<4>>, tensor<10x!FHE.esint<4>>) -> tensor<10x!FHE.esint<4>>
+    %c0_i2 = arith.constant 0 : i2
+    %cst = arith.constant dense<[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]> : tensor<16xi64>
+    %3 = "FHELinalg.apply_lookup_table"(%2, %cst) : (tensor<10x!FHE.esint<4>>, tensor<16xi64>) -> tensor<10x!FHE.eint<4>>
+    %4 = "FHELinalg.sum"(%3) {axes = [], keep_dims = false} : (tensor<10x!FHE.eint<4>>) -> !FHE.eint<4>
+    %c10_i5 = arith.constant 10 : i5
+    %cst_0 = arith.constant dense<[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]> : tensor<16xi64>
+    %5 = "FHE.apply_lookup_table"(%4, %cst_0) : (!FHE.eint<4>, tensor<16xi64>) -> !FHE.eint<1>
+    return %5 : !FHE.eint<1>
+  }
+}
+
             """,  # noqa: E501
         ),
     ],