diff --git a/game_private.c b/game_private.c
index e436499..3f4526f 100644
--- a/game_private.c
+++ b/game_private.c
@@ -7,6 +7,12 @@ unsigned int max(unsigned int a, unsigned int b) {
 	return b;
 }
 
+unsigned int min(unsigned int a, unsigned int b) {
+	if (a < b)
+		return a;
+	return b;
+}
+
 void checkPointer(void* p, char* errMessage) {
 	if (!p) {
 		fprintf(stderr, "%s", errMessage);
diff --git a/game_private.h b/game_private.h
index 19cd631..3348f18 100644
--- a/game_private.h
+++ b/game_private.h
@@ -21,6 +21,15 @@ struct game_s {
  */
 unsigned int max(unsigned int a, unsigned int b);
 
+/**
+ * @brief return the min between a and b
+ *
+ * @param a uint to test
+ * @param b uint to test
+ * @return the min between a and b
+ */
+unsigned int min(unsigned int a, unsigned int b);
+
 /**
  * @brief check if the pointer is NULL fprinf and exit else nothing
  *
diff --git a/game_tools.c b/game_tools.c
index 14eb5cc..08dce64 100644
--- a/game_tools.c
+++ b/game_tools.c
@@ -502,7 +502,7 @@ uint game_nb_solutions(cgame g) {
 	uint nb_blank_cases = total_number_of_blank_cases(copy_g);
 	uint alreadyDone[nb_blank_cases * 2];
 	// else try brutforce with deepness going from 1 to the total number of blank cases on the game
-	for (uint deep = 1; deep < nb_blank_cases; deep++) {
+	for (uint deep = min(game_nb_rows(copy_g), game_nb_cols(copy_g)); deep < nb_blank_cases; deep++) {
 		aux_game_solve(copy_g, deep, &move_played, alreadyDone, 0, nb_blank_cases * 2, true, &nb_solutions, &t_games, &size);
 	}
 	for (uint i = 0; i < nb_solutions; i++) {