diff --git "a/minimum_levels_to_gain_more_points/scala_tests/MySuite.scala" "b/minimum_levels_to_gain_more_points/scala_tests/MySuite.scala"
new file mode 100644--- /dev/null
+++ "b/minimum_levels_to_gain_more_points/scala_tests/MySuite.scala"
@@ -0,0 +1,36 @@
+
+class MySuite extends munit.FunSuite {
+  
+  test("test1") {
+    assertEquals(Main.minimumLevels(List(1,0,1,0)), 1)
+  }
+
+  test("test2") {
+    assertEquals(Main.minimumLevels(List(1,1,1,1,1)), 3)
+  }
+
+  test("test3") {
+    assertEquals(Main.minimumLevels(List(0,0)), -1)
+  }
+
+  test("test4") {
+    assertEquals(Main.minimumLevels(1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,0,1,0,1,1,1,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,1,1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,1,1,1,1,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,1,1,1,1,1,1,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,1,1,1,0,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1,1,1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1,1,1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,1,1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,1,1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,1,1,1,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,1,1,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,1,1,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4476)
+  }
+
+  test("test5") {
+    assertEquals(Main.minimumLevels(0,0,0,1,0,1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,1,1,1,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,1,1,1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,1,1,1,1,1,1,0,1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,1,1,1,1,1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,1,1,1,1,1,0,0,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,1,1,1,1,1,1,0,1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,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2841)
+  }
+
+  test("test6") {
+    assertEquals(Main.minimumLevels(0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,1,1,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,1,1,1,1,0,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,1,0,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,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1)
+  }
+
+  test("test7") {
+    assertEquals(Main.minimumLevels(1,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,1,0,1,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,0,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,0,1,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1)
+  }
+
+  test("test8") {
+    assertEquals(Main.minimumLevels(1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,1,1,1,1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,1,1,0,1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,1,1,1,1,0,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,1,1,0,1,1,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,1,1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,1,1,1,0,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+  }
+
+}