e30daceabbb304c9e1e1ca3775719e0203b57303d7c3a0403c3923132aee88cf

.gitattributes

@@ -238,3 +238,7 @@ minimum_rectangles_to_cover_points/haskell_tests/Main.hs filter=lfs diff=lfs mer
 minimum_rectangles_to_cover_points/meta.json filter=lfs diff=lfs merge=lfs -text
 minimum_rectangles_to_cover_points/scala_tests/MySuite.scala filter=lfs diff=lfs merge=lfs -text
 minimum_replacements_to_sort_the_array/meta.json filter=lfs diff=lfs merge=lfs -text
+minimum_rounds_to_complete_all_tasks/meta.json filter=lfs diff=lfs merge=lfs -text
+minimum_score_of_a_path_between_two_cities/meta.json filter=lfs diff=lfs merge=lfs -text
+minimum_seconds_to_equalize_a_circular_array/meta.json filter=lfs diff=lfs merge=lfs -text
+minimum_size_subarray_in_infinite_array/meta.json filter=lfs diff=lfs merge=lfs -text

minimum_right_shifts_to_sort_the_array/haskell_tests/Main.hs

@@ -0,0 +1,44 @@
+
+module Main where
+import Test.HUnit
+
+--Program start
+minimumRightShifts :: [Int] -> Int
+minimumRightShifts nums = undefined
+
+--Program end
+
+-- Test cases
+
+test1 :: Test
+test1 = TestCase (assertEqual "for (minimumRightShifts [3,4,5,1,2])," 2 (minimumRightShifts [3,4,5,1,2]))
+
+test2 :: Test
+test2 = TestCase (assertEqual "for (minimumRightShifts [1,3,5])," 0 (minimumRightShifts [1,3,5]))
+
+test3 :: Test
+test3 = TestCase (assertEqual "for (minimumRightShifts [2,1,4])," (-1) (minimumRightShifts [2,1,4]))
+
+test4 :: Test
+test4 = TestCase (assertEqual "for (minimumRightShifts [81])," 0 (minimumRightShifts [81]))
+
+test5 :: Test
+test5 = TestCase (assertEqual "for (minimumRightShifts [13, 68, 69, 85, 88])," 0 (minimumRightShifts [13, 68, 69, 85, 88]))
+
+test6 :: Test
+test6 = TestCase (assertEqual "for (minimumRightShifts [11, 9, 8])," (-1) (minimumRightShifts [11, 9, 8]))
+
+test7 :: Test
+test7 = TestCase (assertEqual "for (minimumRightShifts [14, 32, 47, 33, 18])," (-1) (minimumRightShifts [14, 32, 47, 33, 18]))
+
+test8 :: Test
+test8 = TestCase (assertEqual "for (minimumRightShifts [21, 10, 37, 45, 85])," (-1) (minimumRightShifts [21, 10, 37, 45, 85]))
+
+
+-- Grouping test cases
+tests :: Test
+tests = TestList [TestLabel "Test1" test1, TestLabel "Test2" test2, TestLabel "Test3" test3, TestLabel "Test4" test4, TestLabel "Test5" test5, TestLabel "Test6" test6, TestLabel "Test7" test7]
+
+-- Running the tests
+main :: IO Counts
+main = runTestTT tests

minimum_right_shifts_to_sort_the_array/java_tests/Main.java

@@ -0,0 +1,24 @@
+
+import static org.junit.jupiter.api.Assertions.*;
+import org.junit.jupiter.api.Test;
+import java.util.List;
+import java.util.Arrays;
+public class Main {
+    //Program start
+
+    //Program end
+
+    @Test
+public void test1() {
+    assertEquals(2, minimumRightShifts(Arrays.asList(3,4,5,1,2)));
+}
+@Test
+public void test2() {
+    assertEquals(0, minimumRightShifts(Arrays.asList(1,3,5)));
+}
+@Test
+public void test3() {
+    assertEquals(-1, minimumRightShifts(Arrays.asList(2,1,4)));
+}
+
+}

minimum_right_shifts_to_sort_the_array/meta.json

@@ -0,0 +1,76 @@
+{
+    "id": 3045,
+    "name": "minimum_right_shifts_to_sort_the_array",
+    "difficulty": "Easy",
+    "link": "https://leetcode.com/problems/minimum-right-shifts-to-sort-the-array/",
+    "date": "2023-09-02 00:00:00",
+    "task_description": "You are given a **0-indexed** array `nums` of length `n` containing **distinct** positive integers. Return _the **minimum** number of **right shifts** required to sort _`nums`_ and _`-1`_ if this is not possible._ A **right shift** is defined as shifting the element at index `i` to index `(i + 1) % n`, for all indices. **Example 1:** ``` **Input:** nums = [3,4,5,1,2] **Output:** 2 **Explanation:** After the first right shift, nums = [2,3,4,5,1]. After the second right shift, nums = [1,2,3,4,5]. Now nums is sorted; therefore the answer is 2. ``` **Example 2:** ``` **Input:** nums = [1,3,5] **Output:** 0 **Explanation:** nums is already sorted therefore, the answer is 0. ``` **Example 3:** ``` **Input:** nums = [2,1,4] **Output:** -1 **Explanation:** It's impossible to sort the array using right shifts. ``` **Constraints:** `1 <= nums.length <= 100` `1 <= nums[i] <= 100` `nums` contains distinct integers.",
+    "public_test_cases": [
+        {
+            "label": "Example 1",
+            "input": "nums = [3,4,5,1,2]",
+            "output": "2 "
+        },
+        {
+            "label": "Example 2",
+            "input": "nums = [1,3,5]",
+            "output": "0 "
+        },
+        {
+            "label": "Example 3",
+            "input": "nums = [2,1,4]",
+            "output": "-1 "
+        }
+    ],
+    "private_test_cases": [
+        {
+            "input": [
+                81
+            ],
+            "output": 0
+        },
+        {
+            "input": [
+                13,
+                68,
+                69,
+                85,
+                88
+            ],
+            "output": 0
+        },
+        {
+            "input": [
+                11,
+                9,
+                8
+            ],
+            "output": -1
+        },
+        {
+            "input": [
+                14,
+                32,
+                47,
+                33,
+                18
+            ],
+            "output": -1
+        },
+        {
+            "input": [
+                21,
+                10,
+                37,
+                45,
+                85
+            ],
+            "output": -1
+        }
+    ],
+    "haskell_template": "minimumRightShifts :: [Int] -> Int\nminimumRightShifts nums ",
+    "ocaml_template": "let minimumRightShifts (nums: int list) : int =  ",
+    "scala_template": "def minimumRightShifts(nums: List[Int]): Int = { \n    \n}",
+    "java_template": "class Solution {\n    public int minimumRightShifts(List<Integer> nums) {\n        \n    }\n}",
+    "python_template": "class Solution(object):\n    def minimumRightShifts(self, nums):\n        \"\"\"\n        :type nums: List[int]\n        :rtype: int\n        \"\"\"\n        "
+}

minimum_right_shifts_to_sort_the_array/ocaml_tests/main.ml

@@ -0,0 +1,45 @@
+
+module Main = struct
+    open OUnit2
+
+    (* Program start *)
+    let minimumRightShifts (nums: int list) : int =   failwith "Not implemented"
+
+    (* Program end *)
+
+    (* Test cases *)
+    
+let test1 _ = assert_equal 2 (minimumRightShifts [3;4;5;1;2])
+
+let test2 _ = assert_equal 0 (minimumRightShifts [1;3;5])
+
+let test3 _ = assert_equal (-1) (minimumRightShifts [2;1;4])
+
+let test4 _ = assert_equal (-1) (minimumRightShifts [81])
+
+let test5 _ = assert_equal (-1) (minimumRightShifts [13; 68; 69; 85; 88])
+
+let test6 _ = assert_equal (-1) (minimumRightShifts [11; 9; 8])
+
+let test7 _ = assert_equal (-1) (minimumRightShifts [14; 32; 47; 33; 18])
+
+let test8 _ = assert_equal (-1) (minimumRightShifts [21; 10; 37; 45; 85])
+
+
+    (* Grouping test cases *)
+    let suite = "Test Suite for minimumRightShifts" >::: [
+        
+  "test1" >:: test1;
+  "test2" >:: test2;
+  "test3" >:: test3;
+  "test4" >:: test4;
+  "test5" >:: test5;
+  "test6" >:: test6;
+  "test7" >:: test7;
+  "test8" >:: test8;
+    ]
+
+
+    (* Running the tests *)
+    let () = run_test_tt_main suite
+end

minimum_right_shifts_to_sort_the_array/scala_tests/MySuite.scala

@@ -0,0 +1,36 @@
+
+class MySuite extends munit.FunSuite {
+  
+  test("test1") {
+    assertEquals(Main.minimumRightShifts(List(3,4,5,1,2)), 2)
+  }
+
+  test("test2") {
+    assertEquals(Main.minimumRightShifts(List(1,3,5)), 0)
+  }
+
+  test("test3") {
+    assertEquals(Main.minimumRightShifts(List(2,1,4)), -1)
+  }
+
+  test("test4") {
+    assertEquals(Main.minimumRightShifts(81), 0)
+  }
+
+  test("test5") {
+    assertEquals(Main.minimumRightShifts(13,68,69,85,88), 0)
+  }
+
+  test("test6") {
+    assertEquals(Main.minimumRightShifts(11,9,8), -1)
+  }
+
+  test("test7") {
+    assertEquals(Main.minimumRightShifts(14,32,47,33,18), -1)
+  }
+
+  test("test8") {
+    assertEquals(Main.minimumRightShifts(21,10,37,45,85), -1)
+  }
+
+}

minimum_rounds_to_complete_all_tasks/haskell_tests/Main.hs

@@ -0,0 +1,24 @@
+
+module Main where
+import Test.HUnit
+
+--Program start
+
+--Program end
+
+-- Test cases
+
+test1 :: Test
+test1 = TestCase (assertEqual "for (minimumRounds [2,2,3,3,2,4,4,4,4,4])," 4 (minimumRounds [2,2,3,3,2,4,4,4,4,4]))
+
+test2 :: Test
+test2 = TestCase (assertEqual "for (minimumRounds [2,3,3])," (-1) (minimumRounds [2,3,3]))
+
+
+-- Grouping test cases
+tests :: Test
+tests = TestList [TestLabel "Test1" test1]
+
+-- Running the tests
+main :: IO Counts
+main = runTestTT tests

minimum_rounds_to_complete_all_tasks/java_tests/Main.java

@@ -0,0 +1,21 @@
+
+import static org.junit.jupiter.api.Assertions.*;
+import org.junit.jupiter.api.Test;
+import java.util.List;
+import java.util.Arrays;
+import java.util.ArrayList;
+public class Main {
+    //Program start
+    
+    //Program end
+
+    @Test
+public void test1() {
+    assertEquals(4, minimumRounds(new ArrayList<>(Arrays.asList(2,2,3,3,2,4,4,4,4,4))));
+}
+@Test
+public void test2() {
+    assertEquals(-1, minimumRounds(new ArrayList<>(Arrays.asList(2,3,3))));
+}
+
+}

minimum_rounds_to_complete_all_tasks/meta.json

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1c23ec39833e4a2299735179228cca6e6c5921752e002c8b4f3c4e617c121d62
+size 11627747

minimum_rounds_to_complete_all_tasks/ocaml_tests/main.ml

@@ -0,0 +1,26 @@
+
+module Main = struct
+    open OUnit2
+
+    (* Program start *)
+
+    (* Program end *)
+
+    (* Test cases *)
+    
+let test1 _ = assert_equal 4 (minimumRounds [2;2;3;3;2;4;4;4;4;4])
+
+let test2 _ = assert_equal (-1) (minimumRounds [2;3;3])
+
+
+    (* Grouping test cases *)
+    let suite = "Test Suite for minimumRounds" >::: [
+        
+  "test1" >:: test1;
+  "test2" >:: test2;
+    ]
+
+
+    (* Running the tests *)
+    let () = run_test_tt_main suite
+end

minimum_rounds_to_complete_all_tasks/scala_tests/MySuite.scala

@@ -0,0 +1,12 @@
+
+class MySuite extends munit.FunSuite {
+  
+  test("test1") {
+    assertEquals(Main.minimumRounds(List(2,2,3,3,2,4,4,4,4,4)), 4)
+  }
+
+  test("test2") {
+    assertEquals(Main.minimumRounds(List(2,3,3)), -1)
+  }
+
+}

minimum_score_after_removals_on_a_tree/java_tests/Main.java

@@ -0,0 +1,21 @@
+
+import static org.junit.jupiter.api.Assertions.*;
+import org.junit.jupiter.api.Test;
+import java.util.List;
+import java.util.Arrays;
+import java.util.ArrayList;
+public class Main {
+    //Program start
+    
+    //Program end
+
+    @Test
+public void test1() {
+    assertEquals(9, minimumScore(new ArrayList<>(Arrays.asList(1,5,5,4,11)), new ArrayList<>(Arrays.asList(new ArrayList<>(Arrays.asList(0,1)),new ArrayList<>(Arrays.asList(1,2)),new ArrayList<>(Arrays.asList(1,3)),new ArrayList<>(Arrays.asList(3,4))))));
+}
+@Test
+public void test2() {
+    assertEquals(0, minimumScore(new ArrayList<>(Arrays.asList(5,5,2,4,4,2)), new ArrayList<>(Arrays.asList(new ArrayList<>(Arrays.asList(0,1)),new ArrayList<>(Arrays.asList(1,2)),new ArrayList<>(Arrays.asList(5,2)),new ArrayList<>(Arrays.asList(4,3)),new ArrayList<>(Arrays.asList(1,3))))));
+}
+
+}

minimum_score_after_removals_on_a_tree/ocaml_tests/main.ml

@@ -0,0 +1,47 @@
+
+module Main = struct
+    open OUnit2
+
+    (* Program start *)
+
+    (* Program end *)
+
+    (* Test cases *)
+    
+let test1 _ = assert_equal 9 (minimumScore [1;5;5;4;11] [[0;1];[1;2];[1;3];[3;4]])
+
+let test2 _ = assert_equal 0 (minimumScore [5;5;2;4;4;2] [[0;1];[1;2];[5;2];[4;3];[1;3]])
+
+let test3 _ = assert_equal 60832 (minimumScore [39045103; 15550497; 79685668; 124003451; 32725932; 108399963; 133385490; 48249931; 64758079; 34548650; 19593660; 130197451; 53745824; 11985636; 87900135; 48185569; 20696174; 118049723; 63620636; 130219241; 10156815; 69875549; 115630408; 96782386; 18036106; 70021212; 95470250; 85590082; 57391671; 9869525; 23610268; 121124015; 18548509; 76481612; 51160597; 71602346; 14538331; 133809365; 108744350; 84011700; 127777698; 78100097; 21894607; 51948912; 43616534; 11406331; 92726015; 98366360; 54509988; 103477407; 36536726; 102701034; 110941548; 48472304; 18601685; 35891697; 34575161; 114790688; 130283194; 107428460; 43049949; 38272611; 76257066; 75683517; 89494505; 25609490; 127971029; 14990378; 47853921; 95207490; 111869703; 126425531; 52482980; 4722350; 741922; 118287681; 90288103; 33129714; 9012566; 107974136; 111985071; 50625142; 36694826; 81029268; 35112688; 12635540; 133775511; 112651486; 88849191; 39833078; 3926422; 69466928; 76732046; 134062088; 77636817; 2235672; 91596648; 68125897; 91034059; 101281438; 76989619; 5293237; 71513939; 2667352; 99155504; 86864830; 95539134; 115470600; 37794764; 84178460; 117489174; 105493766; 68173937; 122725784; 84185783; 501083; 10908019; 115686239; 68589375; 23431456; 13331555; 54194501; 88384564; 1648770; 113689227; 82549433; 69732346; 62476754; 87519936; 105352072; 17109228; 122673322; 66745265; 38272412; 22595418; 66897442; 21451648; 110332805; 99960818; 25900635; 110857893; 62072715; 70037007; 59106893; 15704282; 38499789; 29432260; 16221100; 117837453; 42702258; 12597204; 81515504; 15632455; 43103485; 102206603; 32942953; 27699567; 14681232; 50192930; 124276570; 4928703; 17190006; 73059039; 27602195; 1318602; 112485717; 34607491; 126332916; 10922463; 74766726; 86564773; 9374324; 36744295; 40911119; 83673207; 43806536; 128126355; 78634139; 120452299; 81518403; 28988605; 82550248; 100282582; 56118011; 109622956; 12278520; 86197884; 36655692; 22141222; 71754040; 90574367; 72285250; 17795192; 19424877; 9234662; 2615396; 98758540; 37708180; 59051993; 70336210; 24205223; 89504607; 61042144; 25098330; 1721035; 88228891; 52044034; 85343131; 22814124; 55568629; 12220082; 69838; 77348395; 78073336; 91833037; 98206495; 39442128; 70171950; 49756772; 44006964; 104202478; 34357003; 30833334; 79965811; 91833633; 12562515; 26277457; 47962066; 54992194; 70489785; 24508795; 18423938; 20673302; 88880400; 32016240; 33266126; 25286431; 56536588; 44895577; 83296025; 60571348; 78930376; 37789204; 83853051; 43835017; 40753912; 41020545; 14575859; 97690934; 92539319; 94606475; 63836761; 99452527; 99048976; 50280641; 67389231; 21426327; 98785360; 13283755; 67129404; 64171443; 58115102; 63048413; 10086379; 15841986; 32403926; 76153092; 83917927; 66089742; 29795373; 46014081; 25532378; 47500777; 5506626; 13649580; 23792270; 75389679; 28993332; 76608379; 62302311; 27338211; 3993043; 31260857; 47153222; 66535549; 16353258; 90399618; 125324866; 3524775; 2940803; 28315426; 2051338; 38939413; 78875507; 5864816; 85712205; 98140478; 104250999; 20758091; 16316646; 92527587; 1032511; 14221181; 54282998; 87572875; 27784436; 60247077; 15541896; 82821025; 38990927; 96578055; 87871965; 97743419; 81602510; 69461038; 2596373; 97976543; 80806611; 79488187; 68997735; 14949569; 13319903; 22227277; 9401775; 64794289; 48524085; 95293020; 52439804; 90269599; 29455706; 76686180; 8307867; 95046599; 70783637; 96332244; 71580751; 45713641; 31179882; 47384278; 82223805; 97900612; 81464106; 69128207; 69712308; 56945508; 77473436; 78118711; 96289466; 5705543; 46795629; 19781627; 44777695; 36358480; 14251460; 91529378; 99240059; 1162873] [[0; 1]; [0; 2]; [0; 3]; [2; 4]; [1; 5]; [1; 6]; [3; 7]; [0; 8]; [7; 9]; [2; 10]; [0; 11]; [4; 12]; [11; 13]; [6; 14]; [3; 15]; [12; 16]; [1; 17]; [15; 18]; [5; 19]; [0; 20]; [17; 21]; [3; 22]; [0; 23]; [3; 24]; [14; 25]; [12; 26]; [26; 27]; [19; 28]; [19; 29]; [13; 30]; [18; 31]; [16; 32]; [16; 33]; [6; 34]; [8; 35]; [6; 36]; [13; 37]; [3; 38]; [0; 39]; [10; 40]; [4; 41]; [29; 42]; [4; 43]; [0; 44]; [9; 45]; [42; 46]; [39; 47]; [15; 48]; [8; 49]; [2; 50]; [35; 51]; [47; 52]; [43; 53]; [34; 54]; [34; 55]; [30; 56]; [53; 57]; [9; 58]; [0; 59]; [34; 60]; [1; 61]; [59; 62]; [53; 63]; [62; 64]; [15; 65]; [58; 66]; [15; 67]; [66; 68]; [5; 69]; [34; 70]; [40; 71]; [43; 72]; [64; 73]; [71; 74]; [42; 75]; [0; 76]; [35; 77]; [24; 78]; [41; 79]; [49; 80]; [3; 81]; [12; 82]; [78; 83]; [80; 84]; [28; 85]; [43; 86]; [56; 87]; [57; 88]; [86; 89]; [4; 90]; [39; 91]; [31; 92]; [21; 93]; [39; 94]; [42; 95]; [11; 96]; [57; 97]; [91; 98]; [94; 99]; [93; 100]; [28; 101]; [54; 102]; [37; 103]; [91; 104]; [75; 105]; [13; 106]; [64; 107]; [89; 108]; [38; 109]; [4; 110]; [110; 111]; [23; 112]; [37; 113]; [68; 114]; [103; 115]; [11; 116]; [98; 117]; [18; 118]; [95; 119]; [78; 120]; [99; 121]; [17; 122]; [65; 123]; [36; 124]; [83; 125]; [86; 126]; [4; 127]; [107; 128]; [54; 129]; [97; 130]; [46; 131]; [31; 132]; [101; 133]; [7; 134]; [128; 135]; [103; 136]; [61; 137]; [28; 138]; [122; 139]; [105; 140]; [100; 141]; [54; 142]; [121; 143]; [88; 144]; [64; 145]; [33; 146]; [122; 147]; [96; 148]; [101; 149]; [86; 150]; [52; 151]; [34; 152]; [105; 153]; [111; 154]; [54; 155]; [152; 156]; [62; 157]; [125; 158]; [50; 159]; [78; 160]; [19; 161]; [77; 162]; [99; 163]; [10; 164]; [71; 165]; [137; 166]; [28; 167]; [52; 168]; [167; 169]; [15; 170]; [46; 171]; [72; 172]; [4; 173]; [76; 174]; [35; 175]; [170; 176]; [149; 177]; [68; 178]; [2; 179]; [76; 180]; [32; 181]; [119; 182]; [2; 183]; [133; 184]; [63; 185]; [82; 186]; [158; 187]; [111; 188]; [122; 189]; [144; 190]; [168; 191]; [3; 192]; [173; 193]; [170; 194]; [181; 195]; [166; 196]; [117; 197]; [113; 198]; [131; 199]; [165; 200]; [184; 201]; [164; 202]; [181; 203]; [182; 204]; [165; 205]; [85; 206]; [11; 207]; [163; 208]; [44; 209]; [107; 210]; [82; 211]; [64; 212]; [81; 213]; [78; 214]; [91; 215]; [4; 216]; [81; 217]; [182; 218]; [180; 219]; [186; 220]; [162; 221]; [14; 222]; [140; 223]; [161; 224]; [183; 225]; [17; 226]; [26; 227]; [11; 228]; [119; 229]; [166; 230]; [214; 231]; [25; 232]; [100; 233]; [211; 234]; [34; 235]; [235; 236]; [179; 237]; [60; 238]; [17; 239]; [152; 240]; [87; 241]; [220; 242]; [44; 243]; [211; 244]; [182; 245]; [207; 246]; [117; 247]; [68; 248]; [150; 249]; [89; 250]; [227; 251]; [54; 252]; [125; 253]; [218; 254]; [15; 255]; [52; 256]; [201; 257]; [126; 258]; [129; 259]; [111; 260]; [176; 261]; [155; 262]; [20; 263]; [256; 264]; [183; 265]; [36; 266]; [124; 267]; [107; 268]; [241; 269]; [51; 270]; [108; 271]; [4; 272]; [82; 273]; [194; 274]; [127; 275]; [148; 276]; [107; 277]; [76; 278]; [204; 279]; [76; 280]; [12; 281]; [232; 282]; [10; 283]; [152; 284]; [188; 285]; [159; 286]; [3; 287]; [194; 288]; [134; 289]; [155; 290]; [270; 291]; [79; 292]; [241; 293]; [228; 294]; [108; 295]; [80; 296]; [112; 297]; [261; 298]; [235; 299]; [6; 300]; [276; 301]; [194; 302]; [207; 303]; [108; 304]; [202; 305]; [172; 306]; [18; 307]; [33; 308]; [198; 309]; [239; 310]; [128; 311]; [67; 312]; [70; 313]; [250; 314]; [264; 315]; [106; 316]; [50; 317]; [57; 318]; [171; 319]; [158; 320]; [0; 321]; [274; 322]; [141; 323]; [289; 324]; [287; 325]; [154; 326]; [211; 327]; [106; 328]; [123; 329]; [179; 330]; [297; 331]; [258; 332]; [290; 333]; [22; 334]; [82; 335]; [166; 336]; [23; 337]; [53; 338]; [194; 339]; [229; 340]; [227; 341]; [224; 342]; [116; 343]; [230; 344]; [340; 345]; [297; 346]; [265; 347]; [23; 348]; [175; 349]; [27; 350]; [178; 351]; [162; 352]; [79; 353]; [149; 354]; [34; 355]; [265; 356]])
+
+let test4 _ = assert_equal 97460 (minimumScore [1410129; 111823420; 77620094; 79075990; 131864465; 41473276; 30928457; 52693649; 44641410; 55306615; 119295381; 22579609; 52688757; 5437459; 108082206; 81442106; 85825558; 29587129; 67549932; 28173627; 101165776; 30558705; 13360221; 748510; 7380487; 40647716; 4547959; 100115550; 114221024; 93360252; 67682076; 99347112; 92057014; 80088424; 70346654; 74573736; 62264412; 123794858; 76853799; 36502330; 27072942; 89309030; 74754660; 87265598; 60576509; 5838337; 92187699; 71748944; 133545795; 71550090; 118372730; 115805365; 9565753; 121469393; 22473557; 103692429; 68652815; 10112982; 17268747; 87628058; 129331724; 49195101; 43169057; 132724180; 64098732; 105058296; 19459694; 113077780; 104896909; 72067804; 114793475; 76696435; 115505875; 97213651; 111101941; 44672218; 93094231; 58359325; 100324232; 89676938; 12177105; 15997542; 49562179; 66923031; 115809004; 7453475; 126203970; 48577021; 110118862; 98972812; 38848944; 62399561; 16881968; 98705353; 11154459; 109861070; 8705414; 32106231; 22680840; 33051923; 102235883; 30987261; 80778871; 58974883; 11012220; 56459157; 125407274; 87598735; 77553983; 58966746; 9912786; 132523500; 79741165; 95856814; 7649801; 47214066; 93084155; 79903495; 6317108; 81422973; 116444509; 95591249; 123300199; 128009063; 96938845; 12180556; 71760285; 64933617; 10442160; 58358720; 15238479; 11148550; 25434107; 92325956; 25449800; 49927470; 91506133; 8415950; 81423485; 27614751; 75059316; 50261988; 27768784; 82485497; 16778587; 6032272; 27146280; 72408106; 20062488; 46749214; 57554428; 27477277; 61876397; 82353641; 107474624; 43594832; 73057974; 99214323; 113576567; 69758927; 113609776; 17074243; 78526666; 79038217; 69064856; 10001063; 14233303; 63206918; 79119447; 17806569; 131603785; 52089761; 28524317; 26897117; 92769186; 97784716; 16400752; 35462988; 54455886; 39374277; 79675908; 11637194; 124137949; 74976954; 69741015; 72954832; 96053318; 77889004; 96884694; 56843735; 30617617; 9397973; 51091423; 1153122; 56843321; 66238510; 57448635; 1423952; 51780344; 51391679; 23215852; 78248683; 122639943; 7956704; 81766695; 99128943; 67583713; 81852287; 20313212; 70003298; 119118950; 13520511; 66419700; 15109884; 42963397; 97591325; 20882710; 5417782; 44270236; 44198512; 71829241; 19595905; 19868047; 121778513; 22400332; 21176459; 2469072; 25160197; 89301792; 2631049; 34931664; 93803880; 34335862; 4205763; 11184215; 27247456; 45076983; 69266160; 14301048; 50703092; 21316233; 40121440; 39434154; 66819824; 19209416; 73080714; 108231648; 25968779; 41559587; 26745096; 92945551; 86033893; 113255160; 21755481; 64328613; 4244442; 125480194; 94465975; 28003337; 41578343; 78497886; 17034041; 99898915; 47150434; 10777903; 5124484; 13646562; 42593024; 14034938; 70395387; 97093067; 54647990; 75060077; 67539368; 24118064; 49489613; 52540280; 65403218; 61716658; 29659050; 15761901; 10563291; 63474588; 94425781; 54319687; 33880568; 87486196; 117032175; 129714012; 90246785; 17923912; 94487335; 22245566; 29321977; 93424775; 87713613; 412451; 94715295; 13867796; 86944060; 28334007; 78502935; 51349930; 24921359; 76416600; 18139418; 89580062; 44449013; 72738170; 83352697; 84606553; 49983328; 90501506; 22870633; 37652966; 29248044; 65707643; 16422845; 62434958; 95143425; 80055625; 44612033; 34034005; 77474641; 29800282; 48472604; 34552109; 23664042; 23161114; 6078395; 97661269; 106676018; 56617458; 77831926; 52327106; 19807294; 127328611; 114665420; 55490632; 133617183; 63788237; 83390590; 96798633; 34511975; 87406709; 88699576; 93330398; 82399477; 93895394; 43652314; 90849059; 82835735; 33499922; 10014128; 62922480; 73768850; 87602185; 61757568; 98405134; 68063758; 1521412; 23270122; 78154497; 63189945; 47348208; 33404592; 45853465; 89807899; 34204948; 31070471; 84071484; 90857392; 75105565; 39467132; 50029796; 91722242; 78711315; 33517856; 55257048; 22081519; 49021159; 44042067; 77846121; 4271919; 51786559; 90387659; 8962909; 2879729; 26480228; 64964683; 89197622; 8839560; 56752068; 71855243; 67763657; 95674100; 17284303; 49635886; 44605337; 69409772; 78374140; 24304885; 48786758; 88178174; 56145034; 18369998; 85503419; 63017350; 58847195; 41968586; 65813162; 76545554] [[0; 1]; [0; 2]; [0; 3]; [3; 4]; [1; 5]; [0; 6]; [1; 7]; [4; 8]; [2; 9]; [3; 10]; [8; 11]; [1; 12]; [12; 13]; [2; 14]; [1; 15]; [5; 16]; [4; 17]; [15; 18]; [14; 19]; [5; 20]; [1; 21]; [11; 22]; [9; 23]; [13; 24]; [6; 25]; [11; 26]; [1; 27]; [18; 28]; [24; 29]; [0; 30]; [19; 31]; [7; 32]; [4; 33]; [1; 34]; [29; 35]; [35; 36]; [33; 37]; [5; 38]; [27; 39]; [7; 40]; [11; 41]; [28; 42]; [41; 43]; [11; 44]; [17; 45]; [35; 46]; [18; 47]; [18; 48]; [2; 49]; [37; 50]; [24; 51]; [23; 52]; [34; 53]; [49; 54]; [5; 55]; [46; 56]; [45; 57]; [51; 58]; [13; 59]; [48; 60]; [52; 61]; [33; 62]; [61; 63]; [22; 64]; [22; 65]; [29; 66]; [60; 67]; [48; 68]; [0; 69]; [23; 70]; [10; 71]; [67; 72]; [51; 73]; [32; 74]; [22; 75]; [33; 76]; [46; 77]; [53; 78]; [43; 79]; [41; 80]; [34; 81]; [26; 82]; [32; 83]; [0; 84]; [11; 85]; [20; 86]; [71; 87]; [13; 88]; [67; 89]; [43; 90]; [68; 91]; [13; 92]; [2; 93]; [2; 94]; [38; 95]; [95; 96]; [35; 97]; [5; 98]; [54; 99]; [91; 100]; [32; 101]; [52; 102]; [46; 103]; [89; 104]; [100; 105]; [16; 106]; [100; 107]; [46; 108]; [44; 109]; [43; 110]; [11; 111]; [70; 112]; [4; 113]; [47; 114]; [48; 115]; [50; 116]; [3; 117]; [71; 118]; [72; 119]; [108; 120]; [79; 121]; [47; 122]; [118; 123]; [98; 124]; [70; 125]; [75; 126]; [104; 127]; [28; 128]; [24; 129]; [123; 130]; [84; 131]; [68; 132]; [1; 133]; [59; 134]; [118; 135]; [78; 136]; [58; 137]; [65; 138]; [95; 139]; [27; 140]; [63; 141]; [115; 142]; [26; 143]; [65; 144]; [84; 145]; [33; 146]; [138; 147]; [135; 148]; [130; 149]; [31; 150]; [55; 151]; [103; 152]; [70; 153]; [122; 154]; [66; 155]; [81; 156]; [131; 157]; [123; 158]; [106; 159]; [74; 160]; [95; 161]; [12; 162]; [53; 163]; [118; 164]; [21; 165]; [83; 166]; [26; 167]; [131; 168]; [64; 169]; [55; 170]; [78; 171]; [26; 172]; [30; 173]; [154; 174]; [168; 175]; [174; 176]; [92; 177]; [134; 178]; [78; 179]; [43; 180]; [61; 181]; [12; 182]; [159; 183]; [120; 184]; [162; 185]; [143; 186]; [48; 187]; [97; 188]; [21; 189]; [85; 190]; [101; 191]; [9; 192]; [171; 193]; [23; 194]; [155; 195]; [29; 196]; [58; 197]; [110; 198]; [192; 199]; [148; 200]; [188; 201]; [51; 202]; [102; 203]; [22; 204]; [74; 205]; [159; 206]; [119; 207]; [41; 208]; [88; 209]; [184; 210]; [42; 211]; [169; 212]; [53; 213]; [201; 214]; [132; 215]; [146; 216]; [100; 217]; [182; 218]; [158; 219]; [84; 220]; [16; 221]; [116; 222]; [53; 223]; [213; 224]; [20; 225]; [76; 226]; [180; 227]; [168; 228]; [72; 229]; [65; 230]; [201; 231]; [118; 232]; [144; 233]; [48; 234]; [17; 235]; [171; 236]; [79; 237]; [22; 238]; [150; 239]; [147; 240]; [105; 241]; [230; 242]; [238; 243]; [47; 244]; [104; 245]; [245; 246]; [38; 247]; [136; 248]; [147; 249]; [95; 250]; [101; 251]; [110; 252]; [245; 253]; [236; 254]; [100; 255]; [157; 256]; [210; 257]; [56; 258]; [21; 259]; [54; 260]; [58; 261]; [191; 262]; [166; 263]; [81; 264]; [262; 265]; [95; 266]; [220; 267]; [146; 268]; [196; 269]; [76; 270]; [196; 271]; [223; 272]; [87; 273]; [144; 274]; [170; 275]; [232; 276]; [165; 277]; [246; 278]; [117; 279]; [215; 280]; [180; 281]; [20; 282]; [171; 283]; [165; 284]; [37; 285]; [52; 286]; [168; 287]; [98; 288]; [14; 289]; [121; 290]; [216; 291]; [129; 292]; [79; 293]; [81; 294]; [99; 295]; [154; 296]; [135; 297]; [15; 298]; [9; 299]; [169; 300]; [186; 301]; [137; 302]; [299; 303]; [54; 304]; [94; 305]; [87; 306]; [202; 307]; [111; 308]; [231; 309]; [58; 310]; [272; 311]; [80; 312]; [258; 313]; [5; 314]; [67; 315]; [136; 316]; [280; 317]; [42; 318]; [74; 319]; [94; 320]; [135; 321]; [167; 322]; [294; 323]; [175; 324]; [214; 325]; [198; 326]; [93; 327]; [173; 328]; [302; 329]; [148; 330]; [87; 331]; [230; 332]; [188; 333]; [281; 334]; [212; 335]; [70; 336]; [135; 337]; [337; 338]; [214; 339]; [210; 340]; [288; 341]; [207; 342]; [252; 343]; [200; 344]; [11; 345]; [58; 346]; [214; 347]; [113; 348]; [34; 349]; [256; 350]; [42; 351]; [185; 352]; [44; 353]; [331; 354]; [297; 355]; [132; 356]; [152; 357]; [205; 358]; [48; 359]; [268; 360]; [148; 361]; [43; 362]; [71; 363]; [86; 364]; [174; 365]; [303; 366]; [220; 367]; [190; 368]; [268; 369]; [205; 370]; [75; 371]; [215; 372]; [145; 373]; [242; 374]; [85; 375]; [31; 376]; [224; 377]; [160; 378]; [41; 379]; [104; 380]; [45; 381]; [196; 382]; [323; 383]; [27; 384]; [286; 385]; [23; 386]; [90; 387]; [382; 388]; [336; 389]; [287; 390]; [218; 391]; [339; 392]; [51; 393]; [353; 394]; [60; 395]; [17; 396]; [326; 397]; [181; 398]; [81; 399]; [272; 400]; [362; 401]; [16; 402]; [107; 403]; [195; 404]; [55; 405]; [78; 406]; [131; 407]; [334; 408]; [327; 409]; [7; 410]; [371; 411]])
+
+let test5 _ = assert_equal 234069 (minimumScore [103196059; 98360418; 108456973; 54179122; 28805366; 51726481; 6683206; 62014426; 77145627; 102812886; 110784059; 10294203; 60643644; 54578536; 5892302; 122905019; 61269214; 63956158; 105687818; 91126453; 42280430; 103856424; 39092450; 39766740; 52434947; 46881983; 17660345; 107072309; 115315631; 10537737; 83856625; 11080447; 93481095; 67712760; 45991505; 32814606; 38478182; 79788721; 12698646; 83035766; 42988578; 97557233; 84590824; 27197925; 117419303; 132697127; 36297191; 60050642; 129089101; 8794840; 71951402; 129435507; 42108318; 24884594; 125735039; 72149905; 62948723; 71450493; 40769334; 78485247; 124123775; 8040288; 108335910; 20658800; 131090517; 17001922; 29077412; 17790736; 58989628; 2333427; 133434996; 53867749; 94265511; 102022265; 13212379; 14310036; 93901734; 1064841; 21835125; 7154407; 98509582; 22944980; 24604909; 76216637; 49203359; 76506549; 110207874; 81632617; 7761007; 41469007; 13230735; 8831193; 49027416; 13002894; 17462104; 104060181; 16799622; 126857410; 133757601; 61985867; 54166993; 26018725; 71639181; 123408045; 103726914; 67242369; 16911526; 91100067; 119524280; 64027221; 100268005; 99466930; 68592926; 48748762; 65975488; 40137382; 44470316; 74607851; 105191197; 41903095; 28261854; 53836839; 96457655; 81640756; 95432090; 46799639; 25689730; 7588727; 95283035; 129011727; 110212443; 52709426; 54230319; 52992742; 10431629; 23616289; 9261393; 53180624; 20200908; 125607928; 125892197; 126349274; 53491338; 131042232; 86305017; 84939603; 34462993; 85423237; 55885570; 42475154; 126231540; 46911350; 34521365; 11067897; 99121826; 50890236; 30943096; 87255257; 87580128; 70781622; 37998675; 62197618; 130463558; 113209636; 85853226; 96385814; 25397108; 69554619; 92522248; 2007999; 42211246; 62142171; 33260147; 50070923; 70732395; 126537280; 20596681; 86561351; 121351340; 108917049; 103429964; 108004577; 92946240; 131809765; 124272772; 127732287; 90564849; 2750270; 9565440; 103432118; 67581150; 9151363; 69650550; 93219555; 27494124; 90577788; 123676978; 23386161; 106135091; 125971150; 109920820; 33179458; 58512365; 68350408; 3445460; 72146935; 86858581; 90254568; 51971958; 67869220; 33787489; 2188265; 125919828; 19998956; 89476769; 35261600; 35059465; 76946166; 90745381; 72606565; 110995458; 108652745; 117775296; 37880057; 31493233; 25136356; 95122909; 10119856; 120355067; 82587251; 64696984; 109381527; 2337467; 68171284; 66024889; 97360645; 15719486; 14496384; 9733024; 70559637; 33645273; 86990546; 31468549; 7411105; 7599886; 83306705; 94921440; 26860020; 16559758; 120342134; 57091526; 9669731; 56043404; 57146928; 115751889; 94501309; 72982310; 105073130; 11027274; 68972402; 121894629; 122369125; 33256034; 3372679; 81078685; 75339352; 63224638; 26620971; 10136521; 107396523; 88323056; 91301701; 23274637; 101483253; 87884964; 47503152; 85296440; 89329971; 97707621; 82104915; 17818813; 75705902; 53938681; 4972267; 93202833; 27613929; 54658301; 16707601; 42387151; 14902855; 18208524; 19167371; 45967738; 66724087; 41125768; 102215361; 77588747; 77773468; 120172642; 33953397; 52679767; 79652303; 42069349; 91782751; 44593302; 97619518; 24536430; 14158501; 40052195; 133953066; 75184427; 504329; 61718216; 78539769; 50140693; 127363312; 85248827; 63754570; 8133631; 9420963; 55490677; 123108630; 10781537; 24252391; 22130674; 5368893; 27869597; 81723732; 78298872; 22048529; 19728253; 13140185; 64848742; 105114587; 74393256; 54333249; 63033452; 73168446; 43655248; 15559348; 14148598; 76897456; 96735692; 79454683; 58674000; 30613359; 50095098; 41232909; 44278881; 43737694; 2726766; 81169937; 17994556; 122637558; 84987442; 46258946; 87878244; 25349867; 36027304; 79174981; 66719893; 65247624; 19247013; 81996300; 337139; 69038060; 95277757; 89823583; 88926671; 12214021; 18392089; 20364581; 26584234; 131293928; 91971911; 20694059; 81896555; 24722595; 50586095; 14914535; 77353158; 19537355; 499564; 62505946; 38188783; 32891254; 41894279; 20087241; 45455931; 92106204; 114837937; 45731353; 25200868; 109108990; 8482175; 7164032; 88265847; 23599853; 28312168; 59205317; 96302362; 93724540; 37393190; 84691499; 65316433; 108005204; 41136484; 25614968; 51763022; 20069262; 17406546; 66174575; 114134581; 20816109; 72479236; 37071220; 102753047; 47235503; 38270164; 124483756; 14004788; 18340378; 78442581; 29337672; 85436814; 53082175; 9656675; 61613676; 62690971; 7096152; 112377298; 34949333; 79000482; 69003748; 32392967; 11472970; 26787195; 55097895; 12191811; 76689750; 33812532; 10131800; 29584292; 91378980; 22446063; 1385239; 14276556; 59447790; 8381878; 33395376; 25248089; 47317993; 68730001; 64485606; 47658673; 44816622; 50007342; 95935875; 37299051; 47838025; 76718867; 25979563; 88790935; 1732669; 47441594; 43178220; 76800875; 52513291; 48001941; 91436518; 69969526; 81995228; 51169941; 22147256; 50596480; 22358153; 60644793; 50130580; 47802717; 49574795; 47742667; 19044517; 80085111; 97991248; 74203482; 76566491; 31427050; 47620113; 93313500; 3999875; 55957484; 945879; 38548824; 6881108; 38340593; 111862369; 77820517; 44288595; 84223488; 32108441; 42161520; 35493323; 27304542; 52586600; 8237977; 61527010; 72333998; 80468308; 7329478; 91146753; 131539960; 2890811; 73985692; 29658454; 13402565; 84826817; 20784310; 69112139; 99841103; 24810477; 29075999; 52736619; 26443845; 12734140; 14442346; 77552001; 54974397; 2166008; 42443622; 19011780; 28722918; 46765220; 33740438; 73467800; 79148589; 26218110; 32797552; 95991399; 82059463; 85989219; 14041844; 86325653; 74439118; 101011596; 92799618; 86141064; 58752812; 42787212; 92699288; 69371066; 61130657; 130230072; 59230323; 28398445; 4471480; 79975882; 187388; 47708788; 13815124; 78688639; 83513636; 44767978; 81194698; 93244569; 85053888; 25167015; 57267749; 30526731; 28523961; 71435193; 92082444; 45167975; 28121292; 98152001; 16487667; 4323399; 35917353; 45872093; 63543425; 67602243; 57322131; 108676086; 31958277; 50855561; 14361652; 93644250; 86646247; 40520054; 37980277; 17566732; 8224145; 85616350; 23848806; 10371938; 26644283; 89911165; 35280045; 84406307; 30702138; 81642925; 36307779; 31309026; 41290370; 36046587; 31134151; 58778176; 27442918; 75149906; 66968335; 7969353; 51926531; 27960498; 26024307; 40128148; 28696096; 3749157; 53403845; 52379380; 30573841; 74846489; 60756145; 8244743; 18733413; 22543375; 3055790; 73651720; 46026265; 58331053; 38606040; 34795481; 96955826; 31970430; 19517372; 4811517; 11221406; 39897115; 26803915; 72696412; 88878485; 28833418; 33486288] [[0; 1]; [1; 2]; [0; 3]; [0; 4]; [3; 5]; [2; 6]; [1; 7]; [0; 8]; [6; 9]; [8; 10]; [5; 11]; [6; 12]; [5; 13]; [0; 14]; [13; 15]; [0; 16]; [16; 17]; [12; 18]; [3; 19]; [14; 20]; [16; 21]; [13; 22]; [22; 23]; [14; 24]; [5; 25]; [17; 26]; [11; 27]; [3; 28]; [8; 29]; [7; 30]; [1; 31]; [19; 32]; [1; 33]; [12; 34]; [8; 35]; [21; 36]; [12; 37]; [0; 38]; [9; 39]; [36; 40]; [12; 41]; [37; 42]; [20; 43]; [31; 44]; [18; 45]; [27; 46]; [10; 47]; [9; 48]; [12; 49]; [41; 50]; [37; 51]; [0; 52]; [47; 53]; [26; 54]; [30; 55]; [53; 56]; [37; 57]; [45; 58]; [10; 59]; [41; 60]; [0; 61]; [46; 62]; [19; 63]; [28; 64]; [61; 65]; [43; 66]; [42; 67]; [56; 68]; [28; 69]; [11; 70]; [37; 71]; [50; 72]; [16; 73]; [19; 74]; [32; 75]; [40; 76]; [68; 77]; [63; 78]; [30; 79]; [77; 80]; [52; 81]; [33; 82]; [14; 83]; [76; 84]; [27; 85]; [80; 86]; [82; 87]; [36; 88]; [4; 89]; [14; 90]; [50; 91]; [64; 92]; [54; 93]; [41; 94]; [12; 95]; [27; 96]; [87; 97]; [61; 98]; [65; 99]; [7; 100]; [42; 101]; [47; 102]; [13; 103]; [78; 104]; [60; 105]; [58; 106]; [73; 107]; [64; 108]; [54; 109]; [83; 110]; [48; 111]; [30; 112]; [94; 113]; [30; 114]; [37; 115]; [47; 116]; [18; 117]; [19; 118]; [9; 119]; [39; 120]; [68; 121]; [5; 122]; [12; 123]; [19; 124]; [86; 125]; [26; 126]; [95; 127]; [62; 128]; [52; 129]; [104; 130]; [30; 131]; [40; 132]; [40; 133]; [15; 134]; [112; 135]; [78; 136]; [121; 137]; [107; 138]; [110; 139]; [76; 140]; [1; 141]; [126; 142]; [35; 143]; [30; 144]; [55; 145]; [44; 146]; [66; 147]; [131; 148]; [103; 149]; [31; 150]; [76; 151]; [136; 152]; [2; 153]; [2; 154]; [149; 155]; [17; 156]; [38; 157]; [107; 158]; [26; 159]; [41; 160]; [129; 161]; [14; 162]; [152; 163]; [22; 164]; [9; 165]; [72; 166]; [81; 167]; [38; 168]; [47; 169]; [131; 170]; [37; 171]; [33; 172]; [69; 173]; [98; 174]; [70; 175]; [54; 176]; [163; 177]; [69; 178]; [116; 179]; [120; 180]; [119; 181]; [0; 182]; [33; 183]; [154; 184]; [150; 185]; [185; 186]; [83; 187]; [23; 188]; [92; 189]; [116; 190]; [69; 191]; [13; 192]; [26; 193]; [65; 194]; [180; 195]; [109; 196]; [105; 197]; [123; 198]; [17; 199]; [52; 200]; [115; 201]; [106; 202]; [4; 203]; [147; 204]; [108; 205]; [85; 206]; [156; 207]; [16; 208]; [179; 209]; [180; 210]; [143; 211]; [5; 212]; [87; 213]; [17; 214]; [110; 215]; [214; 216]; [37; 217]; [213; 218]; [51; 219]; [92; 220]; [152; 221]; [39; 222]; [199; 223]; [159; 224]; [111; 225]; [119; 226]; [138; 227]; [120; 228]; [77; 229]; [5; 230]; [135; 231]; [50; 232]; [48; 233]; [206; 234]; [88; 235]; [75; 236]; [155; 237]; [179; 238]; [40; 239]; [112; 240]; [114; 241]; [147; 242]; [218; 243]; [60; 244]; [86; 245]; [108; 246]; [211; 247]; [23; 248]; [175; 249]; [14; 250]; [242; 251]; [178; 252]; [214; 253]; [15; 254]; [20; 255]; [204; 256]; [21; 257]; [238; 258]; [110; 259]; [189; 260]; [206; 261]; [1; 262]; [170; 263]; [42; 264]; [24; 265]; [97; 266]; [248; 267]; [128; 268]; [168; 269]; [140; 270]; [88; 271]; [182; 272]; [22; 273]; [118; 274]; [100; 275]; [44; 276]; [261; 277]; [42; 278]; [4; 279]; [222; 280]; [257; 281]; [91; 282]; [176; 283]; [279; 284]; [60; 285]; [48; 286]; [124; 287]; [103; 288]; [87; 289]; [208; 290]; [37; 291]; [198; 292]; [44; 293]; [103; 294]; [130; 295]; [209; 296]; [166; 297]; [293; 298]; [88; 299]; [61; 300]; [271; 301]; [83; 302]; [269; 303]; [222; 304]; [63; 305]; [255; 306]; [68; 307]; [228; 308]; [159; 309]; [244; 310]; [295; 311]; [210; 312]; [291; 313]; [241; 314]; [205; 315]; [162; 316]; [68; 317]; [115; 318]; [99; 319]; [192; 320]; [303; 321]; [303; 322]; [141; 323]; [193; 324]; [271; 325]; [141; 326]; [9; 327]; [221; 328]; [67; 329]; [65; 330]; [4; 331]; [139; 332]; [120; 333]; [244; 334]; [15; 335]; [26; 336]; [321; 337]; [319; 338]; [15; 339]; [336; 340]; [119; 341]; [50; 342]; [55; 343]; [5; 344]; [122; 345]; [184; 346]; [23; 347]; [110; 348]; [157; 349]; [147; 350]; [267; 351]; [42; 352]; [59; 353]; [176; 354]; [101; 355]; [112; 356]; [67; 357]; [217; 358]; [268; 359]; [152; 360]; [289; 361]; [335; 362]; [259; 363]; [183; 364]; [276; 365]; [318; 366]; [196; 367]; [267; 368]; [204; 369]; [247; 370]; [318; 371]; [243; 372]; [228; 373]; [39; 374]; [106; 375]; [157; 376]; [301; 377]; [345; 378]; [53; 379]; [262; 380]; [185; 381]; [193; 382]; [317; 383]; [342; 384]; [153; 385]; [336; 386]; [232; 387]; [385; 388]; [114; 389]; [277; 390]; [84; 391]; [113; 392]; [61; 393]; [69; 394]; [53; 395]; [127; 396]; [364; 397]; [16; 398]; [393; 399]; [329; 400]; [273; 401]; [88; 402]; [231; 403]; [107; 404]; [22; 405]; [183; 406]; [403; 407]; [47; 408]; [126; 409]; [389; 410]; [373; 411]; [78; 412]; [277; 413]; [309; 414]; [52; 415]; [143; 416]; [299; 417]; [240; 418]; [342; 419]; [283; 420]; [21; 421]; [274; 422]; [4; 423]; [225; 424]; [65; 425]; [306; 426]; [372; 427]; [136; 428]; [95; 429]; [96; 430]; [298; 431]; [260; 432]; [5; 433]; [300; 434]; [373; 435]; [77; 436]; [120; 437]; [377; 438]; [226; 439]; [253; 440]; [49; 441]; [326; 442]; [90; 443]; [375; 444]; [367; 445]; [389; 446]; [31; 447]; [293; 448]; [330; 449]; [323; 450]; [330; 451]; [333; 452]; [249; 453]; [312; 454]; [360; 455]; [321; 456]; [181; 457]; [74; 458]; [84; 459]; [243; 460]; [160; 461]; [108; 462]; [271; 463]; [390; 464]; [200; 465]; [295; 466]; [420; 467]; [110; 468]; [20; 469]; [136; 470]; [111; 471]; [254; 472]; [227; 473]; [127; 474]; [387; 475]; [332; 476]; [431; 477]; [202; 478]; [135; 479]; [384; 480]; [24; 481]; [285; 482]; [436; 483]; [67; 484]; [240; 485]; [217; 486]; [4; 487]; [9; 488]; [175; 489]; [264; 490]; [300; 491]; [92; 492]; [133; 493]; [118; 494]; [137; 495]; [37; 496]; [155; 497]; [416; 498]; [459; 499]; [95; 500]; [140; 501]; [495; 502]; [140; 503]; [278; 504]; [253; 505]; [197; 506]; [263; 507]; [40; 508]; [200; 509]; [286; 510]; [393; 511]; [264; 512]; [423; 513]; [432; 514]; [178; 515]; [338; 516]; [412; 517]; [434; 518]; [310; 519]; [198; 520]; [312; 521]; [184; 522]; [226; 523]; [459; 524]; [217; 525]; [35; 526]; [232; 527]; [319; 528]; [505; 529]; [420; 530]; [378; 531]; [352; 532]; [307; 533]; [336; 534]; [404; 535]; [208; 536]; [62; 537]; [204; 538]; [47; 539]; [252; 540]; [145; 541]; [255; 542]; [39; 543]; [100; 544]; [485; 545]; [353; 546]; [378; 547]; [370; 548]; [431; 549]; [510; 550]; [40; 551]; [179; 552]; [81; 553]; [142; 554]; [229; 555]; [347; 556]; [405; 557]; [415; 558]; [495; 559]; [293; 560]; [315; 561]; [219; 562]; [192; 563]; [486; 564]; [62; 565]; [212; 566]; [271; 567]; [444; 568]; [62; 569]; [172; 570]; [294; 571]; [468; 572]; [448; 573]; [409; 574]; [481; 575]; [142; 576]; [241; 577]; [288; 578]; [407; 579]; [4; 580]; [217; 581]; [482; 582]; [45; 583]; [51; 584]; [24; 585]; [45; 586]; [442; 587]; [77; 588]; [581; 589]; [136; 590]; [551; 591]; [308; 592]; [63; 593]; [318; 594]; [327; 595]; [220; 596]; [141; 597]; [592; 598]; [569; 599]; [493; 600]; [349; 601]; [62; 602]; [543; 603]; [249; 604]; [430; 605]; [531; 606]; [394; 607]; [426; 608]; [582; 609]; [236; 610]; [524; 611]; [55; 612]; [444; 613]; [450; 614]; [55; 615]; [419; 616]; [51; 617]; [54; 618]; [127; 619]; [126; 620]; [32; 621]; [210; 622]; [299; 623]; [55; 624]; [268; 625]; [338; 626]; [96; 627]; [610; 628]; [495; 629]; [142; 630]; [199; 631]; [302; 632]; [287; 633]; [100; 634]; [397; 635]; [299; 636]; [581; 637]; [331; 638]; [109; 639]; [522; 640]])
+
+let test6 _ = assert_equal 98035 (minimumScore [31383083; 128155815; 99716204; 14937164; 63921681; 29774826; 85301240; 85091546; 110243676; 119889842; 48519018; 42591607; 110814706; 106600723; 21892947; 66933745; 106207947; 107920492; 128205532; 107156428; 23418455; 32859407; 104901648; 79827161; 75085070; 60480602; 79389530; 24594960; 32913926; 85270116; 4728028; 115582406; 132234974; 120285318; 60101847; 20466897; 45440014; 102890699; 52660682; 89862894; 124599371; 108602607; 74388071; 109830789; 41521919; 94472716; 114776205; 133641091; 85045262; 99579865; 111665210; 47307951; 107726656; 62009378; 24745032; 55415475; 29615915; 71573990; 31488193; 83000414; 122407088; 119194922; 46128246; 7466688; 53983141; 43905579; 29618749; 93299663; 26971007; 25019245; 130819461; 27987750; 79833234; 30728745; 91804531; 125060465; 130731251; 130988484; 60136513; 121574449; 15584908; 46968326; 22901961; 79397781; 50651398; 11988285; 24106751; 49555279; 39386856; 115337461; 106846977; 26075003; 111661328; 99589582; 107777406; 69504914; 101194965; 48387766; 14309898; 29522148; 106971429; 121710753; 59987355; 124070145; 21349406; 33453388; 50106465; 74586356; 117817491; 34958387; 86916940; 86303476; 114560543; 43080660; 64130034; 9201862; 36445740; 97358364; 18710700; 98932946; 117953533; 85682132; 58928541; 30568764; 86807906; 64584629; 34544942; 86495450; 11028065; 128077287; 5612055; 45380495; 67053900; 55910020; 542593; 64364014; 64749686; 23749791; 130647405; 86887723; 26539412; 103658478; 29180714; 79001631; 119801948; 120796631; 80314856; 52482192; 37453083; 85502781; 44897118; 32196006; 50234094; 132955328; 105137671; 117270017; 37780565; 44645698; 50178838; 74415502; 22379324; 121610675; 2785964; 21461806; 38606406; 89252835; 87046099; 116922207; 2703003; 51248387; 37335292; 34113694; 107954871; 3554130; 19636091; 40073635; 88370979; 55591782; 117136535; 89436615; 130529550; 116066664; 63837150; 105568857; 70391229; 125459316; 108781443; 9891267; 37838914; 96559281; 100339141; 33061510; 23233816; 12294256; 122047089; 5802289; 91926574; 40493151; 95450355; 100011913; 24672280; 91107893; 71283625; 66902560; 86776671; 2007351; 87113257; 6327118; 47455345; 11719017; 69487377; 80730386; 75278339; 78460950; 39569283; 31673763; 24900156; 73685241; 14858964; 21893279; 31868260; 84896099; 124448512; 30340989; 73961132; 112891770; 21436414; 98906521; 48775851; 129053024; 8809451; 64453176; 62236392; 19630658; 80224291; 13893782; 9115766; 91964191; 10834157; 8726037; 83677584; 69277389; 130107025; 59046126; 67818904; 39727788; 1765995; 48604925; 54331749; 56726830; 6854045; 126660996; 39077283; 21699486; 29467658; 101435892; 111808131; 38834317; 65715018; 86360819; 18356504; 71107961; 71434509; 13362955; 131050588; 59094226; 127865262; 24041814; 47299016; 261965; 54280373; 116324229; 39689374; 108401155; 87220490; 118909758; 28523661; 11996002; 19126050; 28782047; 66846611; 119139567; 95596053; 1371387; 57659629; 92458203; 62141634; 40030635; 55979210; 28384273; 60943035; 132898506; 129181736; 78131251; 69734296; 109062631; 129928384; 66836554; 2473045; 21400950; 66791126; 124793120; 45752520; 120915546; 25952864; 71901575; 82717452; 93767150; 133601536; 64196763; 11564777; 60548991; 40939905; 58454271; 84816675; 129211890; 61849771; 117395905; 80424118; 62903533; 63896931; 50307518; 63587450; 15859360; 39126820; 89227409; 77119747; 66884798; 107040735; 67070854; 474468; 130101465; 81420213; 29986239; 23925279; 33024196; 8653203; 128202583; 83334651; 34737832; 104832253; 43241299; 54809115; 39631077; 19730701; 46585935; 68568957; 21409563; 92021781; 45313433; 80202105; 40803621; 60143875; 123390634; 107467052; 78835672; 11816245; 33125043; 10469411; 3096472; 26805963; 56795209; 55055977; 69001068; 28398073; 36137000; 55660049; 87113924; 116234482; 133765508; 50403989; 129801793; 44031927; 20850639; 133919481; 72715031; 77443997; 42235313; 90838147; 56562423; 102169095; 38762572; 88115885; 19236920; 55610975; 75585748; 88268361; 72208076; 56111588; 10209853; 43511780; 120296647; 54250667; 56626510; 5056125; 40753182; 23055884; 29513073; 27635218; 88373906; 82441163; 99642533; 28635250; 47490058; 94839446; 62067181; 59624441; 24243521; 44302635; 900285; 86757262; 128146378; 15923974; 104394956; 24335829; 92305584; 96544064; 42694187; 7270886; 84439460; 19892750; 52746643; 121476771; 74513751; 76362441; 59338475; 65442733; 66541435; 29418902; 79469325; 77434555; 18277937; 32363871; 31273616; 96064120; 44983058; 33120045; 76469269; 85339852; 36001865; 39982840; 31285022; 41463939; 88637875; 90625883; 96661572; 71605490; 109431072; 59345475; 14819393; 1226036; 79333658; 69295835; 90259399; 56569637; 113690279; 79020937; 64705133; 34207149; 86733738; 57022422; 89753481; 38099757; 62825990; 52543681; 74121732; 26334810; 23659090; 26697392; 62605332; 31818783; 32747859; 107165832; 30719783; 900791; 72869283; 53121073; 32891900; 24422888; 39314979; 10713218; 94612139; 86917360; 49180783; 21164253; 73043038; 95388493; 34099292; 66411658; 843263; 70740869; 45174069; 33405376; 24611446; 8364350; 94394781; 32938312; 66107984; 84701229; 4381903; 66099098; 105343212; 105813261; 35568980; 10508222; 130738750; 26239558; 5469926; 24459729; 59579629; 30045724; 97903384; 70109824; 43191511; 41541241; 36227207; 30541970; 62387511; 10154480; 7544714; 30977907; 59817938; 67731616; 115518820; 91803105; 61219420; 94494190; 43075430; 63515000; 50873154; 4718935; 44286468; 23495378; 56389186; 96507626; 72518425; 75198758; 38343687; 42105727; 67123286; 15495313; 59823833; 93169388; 63999666; 35052491; 12788999; 56730131; 95474631; 117094386; 13528738; 44304635; 16260266; 838997; 85612951; 71465405; 50776724; 5345758; 29831578; 47778322; 4442516; 74143731; 54037171; 111904221; 69852451; 89051389; 1382704; 74290115; 45511012; 29012976; 101830086; 3383520; 35866557; 132256233; 122804266; 43997233; 6885747; 89689394; 73244442; 74788434; 17509912; 1031634; 84168908; 6414962; 72436651; 46386829; 80655198; 54101925; 6775529; 28812053; 76369512; 35643169; 786632; 60684554; 35183118; 36182461; 20750556; 46351136; 96821919; 46650077; 109734053; 69442729; 59617758; 47742023; 118240266; 63862095; 46947476; 118125511; 89009917; 69248594; 107309968; 21428108; 13747381; 41498126; 34001399; 65087487; 22753169; 41573217; 90652612; 63402278; 121092365; 49993344; 93664935; 14997856; 84343358; 132548029; 53304868; 83995035; 38162569; 17566370; 10646396; 45495109; 4616953; 69858498; 85692601; 14017895; 68005584; 97378027; 122166707; 51382033; 31758385; 133757040; 31870954; 1866397; 133755147; 51906754; 42159681; 76453277; 72451942; 90253097; 84428226; 75883643; 1183217; 94936513; 18786873; 58318841; 26319855; 31269347; 9765683; 31414303; 95170384; 50313330; 116335451; 33697629; 74632584; 10005081; 74816765; 53182316; 94495873; 41647945; 7988440; 33960548; 72948994; 99011206; 2570651; 62406019; 60053332; 59624769; 125538591; 33837021; 58689346; 48063091; 29733545; 42517660; 60797806; 75029739; 98909374; 23216324; 14759123; 83646813; 7535925; 97800096; 89161646; 23010305; 69711318; 84409660; 18766908; 80716131; 120523425; 70700763; 40471300; 76159972; 49418144; 2606524; 13437898; 18067102; 86283069; 61499760; 14947568; 67414905; 114935529; 36814985; 36393832; 95687049; 65947268; 61782553; 95400842; 98479433; 71218212; 96440987; 95665544; 44065494; 866722; 16764311; 33379586; 42050241; 36921906; 25298274; 78053867; 26614808; 26200146; 44209024; 3454551; 58763448; 5571073; 67453581; 6559573; 594856; 31469505; 68634852; 19965003; 63140902; 52782689; 42646369; 72242739; 83021741; 109796799; 25157272; 48798590; 73789796; 14238922; 98119340; 16756829; 41729171; 38356998; 88945389; 84168709; 23514361; 34820820; 77121992; 44081836; 90322062; 30832714; 88163246; 58916; 6081196; 93959312; 49371665; 752573; 96759093; 50093689; 12442655; 73629205; 47532394; 99424338; 80463606; 73527541; 96879393; 84383224; 32807265; 54635336; 63366489; 65141135; 34727973; 81888061; 26369885; 54648430; 34471832; 27940188; 12965494; 98332695; 99850536; 41762868; 95073492; 82090304; 61723358; 97263748; 40273425; 98704532; 80307762; 80692328; 26337120; 8755915; 86325404; 3515279; 95919411; 94867381; 96116786; 45692405; 41100070; 72030323; 9209957; 49103172; 34557337; 31973156; 47348736; 92741111; 87151303; 53463533; 81317505; 49909546; 49890455; 7541447; 92402277; 19528159; 71230916; 41640155; 74443496; 81668111; 67505371; 83311807; 37031912; 17515039; 32946568; 48084444; 36096203; 19343324; 36815804; 55419971; 1726427; 69833074; 27037929; 87447011; 52009931; 53803011; 28703929; 40685075; 2366579; 455354; 12106936; 131213796; 51411195; 6436821; 33444422; 18389599; 14813884; 149707; 85939373; 77749634; 76258737; 35733859; 64314279; 21682649; 17684323; 39444908; 15463382; 82506465; 70646350; 94878281; 50338602; 99122075; 42470411; 80097873; 67288672; 51116489; 68160446; 41751589; 60932810; 70922888; 10933514; 43298394; 17769590; 25894366; 72369708; 1712360; 104851756; 33112940; 14288248; 23486868; 9978355; 70512409; 29927854; 57522083; 14499555; 32647589; 29988661; 59044791; 1059171; 45949107; 44458568; 39319306; 27610430; 101672989; 85274980; 26394406; 54191026; 37855346; 15150429; 69992221; 14353208; 4880104; 60781231; 84308377; 38893457; 47086511; 84017361; 60881054; 96356989; 26522340; 8040354; 19027888; 16215256; 55425042; 60060356; 41029014; 81777301; 94650575; 36927985; 57430526; 14723365; 6441347; 66754188; 9862285; 21933028; 7572338; 66357707; 29513465; 18769779; 49275600; 40008557; 85180798; 46750910; 55749445; 87872037; 87812955; 49009409; 46095735; 64732403; 2024826; 67338944; 83504592; 67979605; 52891208; 85906577; 8274317; 48347640; 47753471; 10617604; 76111084] [[0; 1]; [0; 2]; [0; 3]; [1; 4]; [3; 5]; [0; 6]; [6; 7]; [4; 8]; [1; 9]; [7; 10]; [8; 11]; [6; 12]; [12; 13]; [6; 14]; [6; 15]; [2; 16]; [14; 17]; [3; 18]; [5; 19]; [3; 20]; [10; 21]; [18; 22]; [18; 23]; [7; 24]; [18; 25]; [23; 26]; [8; 27]; [8; 28]; [1; 29]; [15; 30]; [7; 31]; [26; 32]; [18; 33]; [3; 34]; [24; 35]; [33; 36]; [19; 37]; [3; 38]; [6; 39]; [35; 40]; [38; 41]; [1; 42]; [42; 43]; [1; 44]; [35; 45]; [8; 46]; [32; 47]; [27; 48]; [40; 49]; [39; 50]; [9; 51]; [49; 52]; [25; 53]; [28; 54]; [8; 55]; [13; 56]; [30; 57]; [22; 58]; [19; 59]; [14; 60]; [27; 61]; [44; 62]; [57; 63]; [29; 64]; [21; 65]; [49; 66]; [4; 67]; [38; 68]; [14; 69]; [30; 70]; [7; 71]; [55; 72]; [0; 73]; [25; 74]; [69; 75]; [36; 76]; [0; 77]; [51; 78]; [56; 79]; [40; 80]; [5; 81]; [1; 82]; [50; 83]; [43; 84]; [68; 85]; [49; 86]; [42; 87]; [15; 88]; [75; 89]; [47; 90]; [17; 91]; [44; 92]; [30; 93]; [67; 94]; [12; 95]; [65; 96]; [47; 97]; [89; 98]; [38; 99]; [81; 100]; [40; 101]; [41; 102]; [85; 103]; [33; 104]; [38; 105]; [13; 106]; [76; 107]; [84; 108]; [70; 109]; [59; 110]; [9; 111]; [60; 112]; [92; 113]; [10; 114]; [90; 115]; [57; 116]; [22; 117]; [71; 118]; [38; 119]; [25; 120]; [13; 121]; [44; 122]; [60; 123]; [83; 124]; [55; 125]; [96; 126]; [7; 127]; [40; 128]; [56; 129]; [80; 130]; [2; 131]; [77; 132]; [120; 133]; [129; 134]; [75; 135]; [62; 136]; [68; 137]; [134; 138]; [83; 139]; [82; 140]; [81; 141]; [53; 142]; [69; 143]; [115; 144]; [24; 145]; [113; 146]; [18; 147]; [107; 148]; [94; 149]; [64; 150]; [23; 151]; [45; 152]; [105; 153]; [62; 154]; [153; 155]; [62; 156]; [129; 157]; [23; 158]; [38; 159]; [45; 160]; [124; 161]; [59; 162]; [62; 163]; [89; 164]; [28; 165]; [155; 166]; [131; 167]; [69; 168]; [168; 169]; [110; 170]; [168; 171]; [144; 172]; [148; 173]; [139; 174]; [75; 175]; [111; 176]; [158; 177]; [27; 178]; [137; 179]; [101; 180]; [17; 181]; [169; 182]; [61; 183]; [89; 184]; [100; 185]; [85; 186]; [124; 187]; [2; 188]; [165; 189]; [155; 190]; [171; 191]; [128; 192]; [160; 193]; [91; 194]; [26; 195]; [102; 196]; [93; 197]; [138; 198]; [5; 199]; [174; 200]; [70; 201]; [107; 202]; [103; 203]; [151; 204]; [200; 205]; [4; 206]; [182; 207]; [175; 208]; [31; 209]; [3; 210]; [18; 211]; [96; 212]; [41; 213]; [60; 214]; [22; 215]; [101; 216]; [86; 217]; [105; 218]; [100; 219]; [69; 220]; [195; 221]; [207; 222]; [181; 223]; [45; 224]; [149; 225]; [14; 226]; [89; 227]; [15; 228]; [36; 229]; [91; 230]; [170; 231]; [119; 232]; [125; 233]; [134; 234]; [19; 235]; [102; 236]; [185; 237]; [135; 238]; [211; 239]; [111; 240]; [205; 241]; [89; 242]; [181; 243]; [153; 244]; [0; 245]; [45; 246]; [98; 247]; [207; 248]; [180; 249]; [124; 250]; [167; 251]; [159; 252]; [86; 253]; [186; 254]; [186; 255]; [108; 256]; [138; 257]; [137; 258]; [222; 259]; [200; 260]; [210; 261]; [254; 262]; [47; 263]; [185; 264]; [215; 265]; [206; 266]; [232; 267]; [149; 268]; [106; 269]; [115; 270]; [134; 271]; [104; 272]; [204; 273]; [173; 274]; [272; 275]; [194; 276]; [264; 277]; [42; 278]; [198; 279]; [60; 280]; [119; 281]; [119; 282]; [141; 283]; [155; 284]; [271; 285]; [233; 286]; [161; 287]; [204; 288]; [7; 289]; [58; 290]; [5; 291]; [225; 292]; [279; 293]; [230; 294]; [109; 295]; [255; 296]; [258; 297]; [115; 298]; [99; 299]; [98; 300]; [111; 301]; [152; 302]; [141; 303]; [253; 304]; [242; 305]; [174; 306]; [71; 307]; [100; 308]; [209; 309]; [56; 310]; [242; 311]; [279; 312]; [214; 313]; [159; 314]; [308; 315]; [126; 316]; [104; 317]; [79; 318]; [35; 319]; [157; 320]; [297; 321]; [266; 322]; [90; 323]; [103; 324]; [263; 325]; [42; 326]; [313; 327]; [157; 328]; [225; 329]; [10; 330]; [224; 331]; [291; 332]; [125; 333]; [161; 334]; [192; 335]; [5; 336]; [103; 337]; [179; 338]; [85; 339]; [308; 340]; [224; 341]; [206; 342]; [3; 343]; [247; 344]; [171; 345]; [71; 346]; [161; 347]; [128; 348]; [177; 349]; [318; 350]; [329; 351]; [106; 352]; [263; 353]; [217; 354]; [273; 355]; [202; 356]; [67; 357]; [341; 358]; [90; 359]; [35; 360]; [46; 361]; [144; 362]; [179; 363]; [19; 364]; [155; 365]; [52; 366]; [261; 367]; [275; 368]; [258; 369]; [327; 370]; [176; 371]; [258; 372]; [300; 373]; [245; 374]; [191; 375]; [197; 376]; [128; 377]; [101; 378]; [364; 379]; [178; 380]; [222; 381]; [4; 382]; [133; 383]; [145; 384]; [367; 385]; [153; 386]; [102; 387]; [327; 388]; [101; 389]; [366; 390]; [159; 391]; [312; 392]; [238; 393]; [306; 394]; [86; 395]; [339; 396]; [304; 397]; [21; 398]; [151; 399]; [218; 400]; [186; 401]; [190; 402]; [220; 403]; [145; 404]; [262; 405]; [79; 406]; [74; 407]; [323; 408]; [95; 409]; [357; 410]; [190; 411]; [318; 412]; [281; 413]; [67; 414]; [40; 415]; [405; 416]; [168; 417]; [396; 418]; [155; 419]; [175; 420]; [327; 421]; [105; 422]; [351; 423]; [292; 424]; [402; 425]; [168; 426]; [176; 427]; [226; 428]; [202; 429]; [155; 430]; [105; 431]; [427; 432]; [319; 433]; [214; 434]; [123; 435]; [51; 436]; [104; 437]; [307; 438]; [437; 439]; [422; 440]; [332; 441]; [330; 442]; [180; 443]; [270; 444]; [270; 445]; [83; 446]; [112; 447]; [34; 448]; [199; 449]; [379; 450]; [156; 451]; [83; 452]; [413; 453]; [354; 454]; [331; 455]; [199; 456]; [101; 457]; [177; 458]; [56; 459]; [370; 460]; [400; 461]; [361; 462]; [166; 463]; [295; 464]; [31; 465]; [450; 466]; [228; 467]; [368; 468]; [130; 469]; [127; 470]; [98; 471]; [10; 472]; [289; 473]; [402; 474]; [199; 475]; [138; 476]; [21; 477]; [174; 478]; [454; 479]; [231; 480]; [248; 481]; [378; 482]; [251; 483]; [124; 484]; [68; 485]; [237; 486]; [82; 487]; [16; 488]; [48; 489]; [195; 490]; [260; 491]; [107; 492]; [419; 493]; [97; 494]; [143; 495]; [56; 496]; [435; 497]; [354; 498]; [493; 499]; [317; 500]; [161; 501]; [262; 502]; [158; 503]; [111; 504]; [350; 505]; [6; 506]; [172; 507]; [357; 508]; [425; 509]; [162; 510]; [366; 511]; [214; 512]; [310; 513]; [53; 514]; [292; 515]; [468; 516]; [315; 517]; [396; 518]; [485; 519]; [478; 520]; [243; 521]; [90; 522]; [291; 523]; [513; 524]; [369; 525]; [351; 526]; [517; 527]; [371; 528]; [243; 529]; [481; 530]; [100; 531]; [390; 532]; [402; 533]; [239; 534]; [246; 535]; [183; 536]; [194; 537]; [428; 538]; [405; 539]; [422; 540]; [54; 541]; [197; 542]; [235; 543]; [331; 544]; [128; 545]; [458; 546]; [430; 547]; [540; 548]; [212; 549]; [292; 550]; [253; 551]; [155; 552]; [113; 553]; [501; 554]; [129; 555]; [268; 556]; [280; 557]; [302; 558]; [491; 559]; [129; 560]; [540; 561]; [131; 562]; [239; 563]; [482; 564]; [12; 565]; [368; 566]; [532; 567]; [75; 568]; [217; 569]; [201; 570]; [329; 571]; [251; 572]; [197; 573]; [101; 574]; [351; 575]; [29; 576]; [45; 577]; [387; 578]; [41; 579]; [126; 580]; [453; 581]; [312; 582]; [340; 583]; [324; 584]; [470; 585]; [393; 586]; [226; 587]; [358; 588]; [246; 589]; [229; 590]; [135; 591]; [431; 592]; [161; 593]; [419; 594]; [530; 595]; [523; 596]; [428; 597]; [379; 598]; [87; 599]; [174; 600]; [569; 601]; [374; 602]; [10; 603]; [345; 604]; [67; 605]; [472; 606]; [102; 607]; [524; 608]; [572; 609]; [503; 610]; [609; 611]; [347; 612]; [603; 613]; [150; 614]; [75; 615]; [99; 616]; [348; 617]; [519; 618]; [573; 619]; [411; 620]; [264; 621]; [567; 622]; [353; 623]; [166; 624]; [271; 625]; [240; 626]; [304; 627]; [223; 628]; [228; 629]; [455; 630]; [157; 631]; [56; 632]; [5; 633]; [78; 634]; [382; 635]; [86; 636]; [227; 637]; [516; 638]; [336; 639]; [283; 640]; [130; 641]; [269; 642]; [35; 643]; [636; 644]; [390; 645]; [456; 646]; [193; 647]; [256; 648]; [258; 649]; [62; 650]; [515; 651]; [199; 652]; [555; 653]; [150; 654]; [512; 655]; [311; 656]; [83; 657]; [354; 658]; [379; 659]; [307; 660]; [137; 661]; [161; 662]; [318; 663]; [168; 664]; [452; 665]; [138; 666]; [410; 667]; [307; 668]; [564; 669]; [401; 670]; [165; 671]; [128; 672]; [80; 673]; [200; 674]; [603; 675]; [1; 676]; [52; 677]; [328; 678]; [270; 679]; [484; 680]; [513; 681]; [5; 682]; [248; 683]; [10; 684]; [354; 685]; [98; 686]; [18; 687]; [295; 688]; [260; 689]; [437; 690]; [419; 691]; [573; 692]; [588; 693]; [160; 694]; [571; 695]; [527; 696]; [662; 697]; [610; 698]; [239; 699]; [326; 700]; [437; 701]; [507; 702]; [133; 703]; [351; 704]; [429; 705]; [409; 706]; [291; 707]; [380; 708]; [325; 709]; [555; 710]; [157; 711]; [435; 712]; [624; 713]; [209; 714]; [172; 715]; [6; 716]; [687; 717]; [681; 718]; [192; 719]; [666; 720]; [664; 721]; [598; 722]; [409; 723]; [351; 724]; [133; 725]; [122; 726]; [607; 727]; [424; 728]; [658; 729]; [677; 730]; [226; 731]; [637; 732]; [569; 733]; [3; 734]; [244; 735]; [263; 736]; [516; 737]; [626; 738]; [570; 739]; [64; 740]; [562; 741]; [299; 742]; [653; 743]; [636; 744]; [24; 745]; [275; 746]; [709; 747]; [427; 748]; [668; 749]; [279; 750]; [150; 751]; [112; 752]; [301; 753]; [308; 754]; [447; 755]; [692; 756]; [45; 757]; [697; 758]; [153; 759]; [661; 760]; [99; 761]; [715; 762]; [720; 763]; [115; 764]; [337; 765]; [144; 766]; [211; 767]; [502; 768]; [632; 769]; [119; 770]; [663; 771]; [238; 772]; [766; 773]; [635; 774]; [241; 775]; [83; 776]; [18; 777]; [713; 778]; [685; 779]; [102; 780]; [200; 781]; [321; 782]; [640; 783]; [428; 784]; [401; 785]; [428; 786]; [388; 787]; [744; 788]; [268; 789]; [606; 790]; [592; 791]; [160; 792]; [93; 793]; [138; 794]; [303; 795]; [745; 796]; [30; 797]; [385; 798]; [467; 799]; [292; 800]; [46; 801]; [212; 802]; [199; 803]; [653; 804]; [489; 805]; [609; 806]; [685; 807]; [391; 808]; [110; 809]; [509; 810]; [586; 811]; [156; 812]; [24; 813]; [177; 814]; [767; 815]; [505; 816]; [324; 817]; [283; 818]; [59; 819]; [41; 820]; [453; 821]; [38; 822]; [360; 823]; [696; 824]; [335; 825]; [424; 826]; [607; 827]; [640; 828]; [603; 829]; [612; 830]; [89; 831]; [414; 832]; [0; 833]; [548; 834]; [429; 835]; [152; 836]; [91; 837]; [641; 838]; [119; 839]; [115; 840]; [74; 841]; [299; 842]; [619; 843]; [449; 844]; [513; 845]; [247; 846]; [620; 847]; [248; 848]; [527; 849]; [447; 850]; [35; 851]; [613; 852]; [92; 853]; [195; 854]; [131; 855]; [27; 856]; [346; 857]; [551; 858]; [155; 859]; [699; 860]; [540; 861]; [319; 862]; [811; 863]; [819; 864]; [766; 865]; [717; 866]; [411; 867]; [753; 868]; [302; 869]; [632; 870]; [427; 871]; [165; 872]; [57; 873]; [301; 874]; [154; 875]; [299; 876]; [836; 877]; [179; 878]; [668; 879]; [317; 880]; [741; 881]; [635; 882]; [581; 883]; [600; 884]; [118; 885]; [485; 886]; [506; 887]; [245; 888]; [134; 889]; [326; 890]; [356; 891]; [871; 892]; [155; 893]; [830; 894]; [296; 895]; [230; 896]; [822; 897]; [888; 898]; [474; 899]; [455; 900]; [31; 901]; [849; 902]; [120; 903]; [76; 904]; [37; 905]; [295; 906]; [17; 907]; [850; 908]; [405; 909]; [11; 910]; [452; 911]; [383; 912]; [543; 913]; [662; 914]; [497; 915]; [901; 916]; [591; 917]; [185; 918]; [872; 919]; [745; 920]; [599; 921]; [15; 922]; [878; 923]; [773; 924]; [836; 925]; [622; 926]; [35; 927]; [132; 928]; [759; 929]; [227; 930]; [335; 931]; [542; 932]; [512; 933]; [880; 934]; [71; 935]; [342; 936]; [644; 937]; [614; 938]; [884; 939]; [739; 940]; [260; 941]; [556; 942]; [911; 943]; [491; 944]; [174; 945]; [1; 946]; [443; 947]; [271; 948]; [822; 949]; [743; 950]; [640; 951]; [268; 952]; [320; 953]; [86; 954]; [643; 955]; [233; 956]; [512; 957]])
+
+let test7 _ = assert_equal 384505 (minimumScore [24763587; 68523316; 91206373; 4757113; 96848378; 122686468; 29078021; 123120374; 36707385; 44298040; 24395466; 6969109; 77043327; 30947586; 12935443; 97021143; 65441135; 93468636; 108391397; 43121251; 17347336; 24382174; 90328540; 52919796; 34334913; 8790335; 15107576; 29594561; 90924942; 30291156; 89057016; 60086558; 99915741; 12402170; 16816047; 75347979; 12517199; 57743839; 21451565; 71371078; 36070432; 53889527; 63982313; 98181825; 97757880; 33170516; 90277332; 3867742; 28412226; 42269624; 115700849; 100498693; 57258458; 22351119; 77201040; 25478245; 81405975; 62519162; 61638546; 78958442; 80920854; 133107359; 4055067; 61687078; 10300986; 5311793; 72049040; 19017219; 114817754; 75180376; 78155102; 23551748; 23545608; 132349314; 91893219; 79474728; 6479811; 35775928; 68336371; 49857447; 29240696; 81621618; 38237991; 91075655; 37416701; 14429989; 4861909; 30359259; 52163121] [[0; 1]; [0; 2]; [2; 3]; [1; 4]; [1; 5]; [2; 6]; [1; 7]; [2; 8]; [7; 9]; [5; 10]; [4; 11]; [9; 12]; [10; 13]; [7; 14]; [11; 15]; [2; 16]; [8; 17]; [2; 18]; [8; 19]; [4; 20]; [2; 21]; [15; 22]; [9; 23]; [2; 24]; [23; 25]; [16; 26]; [3; 27]; [6; 28]; [11; 29]; [27; 30]; [21; 31]; [16; 32]; [26; 33]; [27; 34]; [31; 35]; [6; 36]; [18; 37]; [27; 38]; [26; 39]; [34; 40]; [14; 41]; [12; 42]; [1; 43]; [8; 44]; [39; 45]; [9; 46]; [32; 47]; [36; 48]; [37; 49]; [16; 50]; [3; 51]; [15; 52]; [13; 53]; [35; 54]; [17; 55]; [50; 56]; [29; 57]; [20; 58]; [46; 59]; [5; 60]; [47; 61]; [4; 62]; [62; 63]; [51; 64]; [16; 65]; [12; 66]; [31; 67]; [49; 68]; [68; 69]; [9; 70]; [27; 71]; [50; 72]; [18; 73]; [29; 74]; [47; 75]; [44; 76]; [31; 77]; [11; 78]; [34; 79]; [60; 80]; [73; 81]; [72; 82]; [29; 83]; [61; 84]; [29; 85]; [0; 86]; [49; 87]; [55; 88]])
+
+let test8 _ = assert_equal 181397 (minimumScore [82922534; 21660980; 107678623; 25815487; 29365088; 123298916; 51607730; 9053305; 109074449; 117513310; 70489348; 34910396; 52546539; 107896088; 39705099; 37938900; 76402842; 52190433; 51398219; 33922591; 115371296; 49539407; 39613735; 123622001; 58259627; 75061609; 28550389; 49171576; 81138432; 44321684; 10150774; 58529165; 4580803; 58488852; 68694810; 44983996; 108682827; 20939822; 125795496; 90680907; 38952096; 105444042; 56348823; 79814835; 88129160; 18660602; 4522985; 131469555; 52432439; 120186452; 89638040; 72747273; 93249379; 35874848; 24321822; 60811891; 94304776; 18353285; 34252586; 124741554; 69009626; 112873176; 132917437; 89920757; 50525858; 118348530; 83269666; 943029; 119825824; 91491808; 116226437; 132623077; 39010368; 3092046; 26399986; 128602283; 72455555; 14451660; 29887630; 28886834; 81039773; 39417120; 98688478; 61645231; 82330121; 30983280; 20896933; 95856144; 17049091; 113095421; 52539953; 70432179; 30004820; 84052511; 27667596; 85415496; 8145191; 4092239; 56682561; 48783466; 88279534; 39985135; 35299801; 21920684; 39031529; 91919116; 128128910; 101731579; 4774086; 104788297; 65231222; 41936011; 27367792; 70003538; 124274092; 97343820; 39845435; 60572970; 15568920; 10164878; 112478270; 96768003; 39836186; 122058221; 69190946; 101938975; 131393055; 121877646; 30204993; 9917808; 125167193; 31935129; 131804221; 110163798; 7629268; 31176654; 21050322; 106270725; 23236167; 72511145; 32791641; 91611622; 132792390; 95479393; 98659814; 70915241; 73158218; 63943120; 118566726; 67927314; 52957234; 120540444; 71220450; 7680249; 41312434; 81904878; 44746054; 95449085; 128282524; 18533630; 21106684; 125632207; 111884442; 41430479; 24594898; 87206571; 52572455; 96361457; 49001472; 15718007; 33303775; 27028935; 36426799; 11327421; 57348290; 53573092; 8433115; 74841176; 93333629; 8514019; 24816145; 35054955; 94695783; 17783599; 83179278; 113719083; 81068614; 121452514; 87894459; 7768197; 126422128; 74303769; 20017152; 125557603; 45299863; 120572729; 62330818; 72665995; 71090561; 89820384; 39495852; 104585997; 1093960; 59498443; 54856363; 124183733; 19854236; 25383051; 61001438; 78493857; 480156; 102941460; 22943715; 3521226; 54644644; 13209101; 28997655; 123841014; 126475506; 49963554; 99783252; 29664243; 49608733; 102073210; 123218894; 56494443; 115644496; 49679409; 128081847; 73554922; 7781196; 4683487; 72407303; 71148400; 16679426; 40221248; 41106516; 36805759; 92709446; 91431404; 107964466; 54485061; 83578826; 114471614; 39544536; 50482105; 91467644; 32092125; 15245942; 8991505; 50673574; 80674429; 13665471; 22549631; 54516177; 11145173; 46707504; 46047556; 12595591; 126201847; 16170492; 80432184; 120393899; 53534184; 15845681; 54764318; 54480404; 36466177; 88506951; 86607935; 94580280; 124824922; 43323740; 13909963; 74418007; 52758606; 1153674; 119705637; 81682209; 120097089; 4713458; 121318859; 5630099; 3204216; 93151983; 79508573; 70991836; 91162668; 3072865; 12880975; 26312289; 79178765; 130214609; 124309784; 54136890; 75521379; 7606922; 20330651; 23475070; 66874789; 47083831; 129588373; 53520949; 28040030; 52946082; 46379547; 35323738; 7099436; 12901949; 31164293; 105396978; 51854833; 133504824; 10457473; 111609949; 91528992; 67679226; 9655113; 125579577; 20754909; 83884803; 1040237; 48520387; 132083089; 3007838; 104423970; 31446655; 43193219; 73228150; 11230231; 65724036; 16736608; 100253566; 65286640; 94770636; 79076435; 58344336; 80193851; 6298350; 48123802; 21486117; 91007060; 119321404; 93654450; 71388666; 41072943; 40310759; 92278168; 93522771; 51611204; 43302926; 25363996; 41208337; 58756007; 41531165; 80757928; 30790008; 108295684; 71100660; 99739426; 32918747; 55185; 46216632; 83058995; 102872173; 62462202; 24895088; 76784168; 24866473; 9698373; 19814823; 55846593; 127902015; 17486866; 38527034; 27574715; 98879729; 64522849; 62508456; 27610827; 15704841; 106526273; 81007618; 42158290; 13158615; 86054297; 72169010; 91673818; 12302525; 94914907; 29781035; 51257603; 4289870; 83830592; 28126727; 14488027; 54698392; 416291; 53820675; 63380657; 11834590; 63173859; 34400369; 14248306; 56246264; 23719724; 12710501; 116902861; 31961592; 48222082; 46686156; 35860187; 58313370; 48410434; 28281253; 41744997; 64215277; 14396089; 27415239; 4735793; 79321369; 51177308; 72681286; 95721092; 42644707; 90463926; 4833686; 126694192; 20664638; 19863316; 8955372; 100975162; 24995528; 124978757; 25317772; 45244668; 23091323; 97918905; 98812822; 78624990; 75468659; 19719671; 62546402; 77919822; 93457190; 104401516; 83858938; 39854990; 56035998; 94398492; 107767438; 30600116; 50441617; 35494520; 100653242; 16191411; 60000916; 66011447; 75940704; 53294272; 54931550; 90968694; 87905086; 61528217; 21425105; 78373404; 36847717; 4018649; 4755127; 8551195; 67377934; 115856286; 51659898; 74079263; 61603541; 82484100; 47026077; 32722712; 66017877; 79733591; 44201328; 31397934; 54202569; 33444690; 127474708; 69322483; 53092876; 9807901; 109194485; 94252962; 51975844; 55854562; 105150640; 23237138; 53213150; 70252090; 40837794; 5437768; 10338339; 23021217; 97134555; 16004731; 62412766; 8910939; 35930726; 16821588; 116670006; 8269313; 62819535; 25519059; 6094870; 120749278; 88327167; 65051952; 35204971; 5132909; 79664254; 86640961; 3696302; 68451763; 51093156; 1012147; 17955252; 18449854; 56113547; 18558545; 15935161; 131910091; 96640737; 12194349; 96225876; 120055925; 118021546; 29789315; 81580975; 34920128; 76083356; 18627892; 26922542; 24651742; 5515340; 2243128; 44694388; 63937985; 5913377; 49259987; 57423683; 45735357; 74154888; 25508664; 124491439; 48932373; 76701587; 26728146; 22867720; 64100957; 99351914; 66803833; 84994939; 68672471; 44347130; 57772833; 81770412; 8446030; 79067328; 40200032; 93180338; 12143319; 40434634; 55803774; 11253009; 43958055; 100136282; 69728476; 120635442; 13835631; 3299284; 86950599; 64825088; 68176923; 2145394; 20951919; 62957601; 71327908; 63095961; 65541372; 54245550; 502742; 83014027; 42069447; 65166923; 21517594; 37560653; 51810810; 96332787; 14269197; 52960821; 88252258; 6616560; 4385960; 119323450; 64185862; 24110416; 22265761; 29794268; 80160568; 95486478; 28321012; 59856820; 9232438; 61094888; 128748720; 6851090; 71612276; 19415405; 10361329; 66905333; 20959744; 6296983; 84949798; 1925055; 56157211; 43210805; 73800884; 46407392; 8315346; 58420644; 23825347; 15429155; 28748756; 43500432; 49451765; 61513702; 70728969; 72404552; 9685149; 21981579; 55082709; 60798031; 29894133; 9510304; 97367026; 67069628; 22003955; 63512655; 32995337; 70799839; 101392961; 17205327; 3948213; 35579804; 49743838; 70827198; 38284658; 72074300; 33816986; 34705787; 88378215; 638909; 55935686; 66592079; 37083692; 88147569; 35012963; 87437363; 32534522; 16383933; 64973725; 25187571; 84260374; 42967962; 19730085; 81358013; 27300939; 69428416; 5580425; 38787582; 46386588; 33864966; 73692870; 73210985; 27894856; 64686868; 6273001; 89850426; 7457094; 9450378; 134076920; 4588560; 99266516; 54613067; 85841953; 33476849; 48446704; 34917016; 1779402; 50665552; 88057183; 10784292; 9448292; 67776015; 56507822; 58125035; 40181670; 92024347; 62629898; 4795137; 3490510; 29586183; 37163525; 56157156; 17443129; 86772669; 36935408; 37558659; 19045104; 22076528; 62024868; 54181028; 78388485; 21807880; 97728627; 70151312; 89304252; 94665007; 3605549; 108401645; 52255607; 43893886; 30920721; 79884654; 87234470; 16017835; 52672237; 93839686; 84158239; 84896749; 36657483; 84272798; 83495007; 94562791; 80403488; 53863223; 73740700; 92326461; 81741273; 59762720; 64838999; 18325110; 68054977; 38046745; 4831228; 22160961; 2871567; 47567120; 93027783; 57684089; 669896; 45808521; 66227831; 14819412; 52021926; 97264814; 14631551; 76217761; 40888081; 61078999; 15946403; 89827163; 50857117; 73355337] [[0; 1]; [0; 2]; [2; 3]; [2; 4]; [0; 5]; [1; 6]; [6; 7]; [6; 8]; [7; 9]; [1; 10]; [3; 11]; [8; 12]; [0; 13]; [1; 14]; [7; 15]; [13; 16]; [15; 17]; [4; 18]; [15; 19]; [17; 20]; [20; 21]; [7; 22]; [16; 23]; [2; 24]; [7; 25]; [8; 26]; [17; 27]; [12; 28]; [9; 29]; [16; 30]; [26; 31]; [23; 32]; [29; 33]; [29; 34]; [12; 35]; [7; 36]; [3; 37]; [11; 38]; [27; 39]; [21; 40]; [17; 41]; [23; 42]; [4; 43]; [35; 44]; [8; 45]; [5; 46]; [24; 47]; [15; 48]; [16; 49]; [45; 50]; [45; 51]; [9; 52]; [25; 53]; [42; 54]; [25; 55]; [34; 56]; [27; 57]; [0; 58]; [19; 59]; [25; 60]; [4; 61]; [8; 62]; [33; 63]; [11; 64]; [16; 65]; [32; 66]; [20; 67]; [22; 68]; [51; 69]; [45; 70]; [67; 71]; [48; 72]; [71; 73]; [51; 74]; [11; 75]; [67; 76]; [68; 77]; [64; 78]; [58; 79]; [10; 80]; [64; 81]; [81; 82]; [78; 83]; [32; 84]; [46; 85]; [56; 86]; [40; 87]; [44; 88]; [61; 89]; [45; 90]; [31; 91]; [20; 92]; [44; 93]; [6; 94]; [46; 95]; [16; 96]; [79; 97]; [77; 98]; [78; 99]; [1; 100]; [27; 101]; [26; 102]; [34; 103]; [41; 104]; [24; 105]; [100; 106]; [103; 107]; [75; 108]; [11; 109]; [25; 110]; [16; 111]; [36; 112]; [62; 113]; [73; 114]; [53; 115]; [72; 116]; [21; 117]; [105; 118]; [8; 119]; [63; 120]; [86; 121]; [56; 122]; [21; 123]; [87; 124]; [10; 125]; [102; 126]; [69; 127]; [81; 128]; [25; 129]; [100; 130]; [52; 131]; [52; 132]; [95; 133]; [66; 134]; [18; 135]; [113; 136]; [75; 137]; [64; 138]; [2; 139]; [15; 140]; [100; 141]; [76; 142]; [136; 143]; [31; 144]; [23; 145]; [75; 146]; [128; 147]; [47; 148]; [25; 149]; [108; 150]; [72; 151]; [106; 152]; [40; 153]; [41; 154]; [10; 155]; [87; 156]; [148; 157]; [137; 158]; [76; 159]; [91; 160]; [96; 161]; [114; 162]; [38; 163]; [121; 164]; [110; 165]; [125; 166]; [71; 167]; [116; 168]; [156; 169]; [82; 170]; [17; 171]; [120; 172]; [150; 173]; [127; 174]; [130; 175]; [78; 176]; [89; 177]; [12; 178]; [114; 179]; [170; 180]; [164; 181]; [21; 182]; [179; 183]; [65; 184]; [167; 185]; [14; 186]; [24; 187]; [146; 188]; [37; 189]; [149; 190]; [143; 191]; [54; 192]; [43; 193]; [163; 194]; [193; 195]; [181; 196]; [40; 197]; [126; 198]; [188; 199]; [26; 200]; [101; 201]; [122; 202]; [161; 203]; [64; 204]; [183; 205]; [15; 206]; [39; 207]; [0; 208]; [159; 209]; [22; 210]; [166; 211]; [185; 212]; [127; 213]; [187; 214]; [70; 215]; [102; 216]; [127; 217]; [179; 218]; [180; 219]; [160; 220]; [91; 221]; [41; 222]; [172; 223]; [165; 224]; [119; 225]; [205; 226]; [73; 227]; [160; 228]; [191; 229]; [98; 230]; [154; 231]; [3; 232]; [102; 233]; [82; 234]; [71; 235]; [146; 236]; [107; 237]; [188; 238]; [148; 239]; [142; 240]; [194; 241]; [144; 242]; [103; 243]; [88; 244]; [208; 245]; [100; 246]; [161; 247]; [6; 248]; [112; 249]; [120; 250]; [123; 251]; [79; 252]; [87; 253]; [188; 254]; [122; 255]; [36; 256]; [181; 257]; [176; 258]; [35; 259]; [248; 260]; [216; 261]; [147; 262]; [134; 263]; [60; 264]; [103; 265]; [228; 266]; [35; 267]; [207; 268]; [9; 269]; [91; 270]; [217; 271]; [56; 272]; [221; 273]; [104; 274]; [142; 275]; [92; 276]; [223; 277]; [236; 278]; [256; 279]; [248; 280]; [158; 281]; [60; 282]; [105; 283]; [172; 284]; [86; 285]; [274; 286]; [281; 287]; [16; 288]; [56; 289]; [70; 290]; [277; 291]; [144; 292]; [118; 293]; [86; 294]; [278; 295]; [248; 296]; [23; 297]; [167; 298]; [183; 299]; [292; 300]; [122; 301]; [13; 302]; [154; 303]; [49; 304]; [3; 305]; [298; 306]; [16; 307]; [124; 308]; [278; 309]; [287; 310]; [54; 311]; [108; 312]; [164; 313]; [43; 314]; [231; 315]; [49; 316]; [164; 317]; [267; 318]; [154; 319]; [124; 320]; [75; 321]; [243; 322]; [163; 323]; [187; 324]; [40; 325]; [121; 326]; [90; 327]; [121; 328]; [178; 329]; [79; 330]; [248; 331]; [112; 332]; [182; 333]; [268; 334]; [11; 335]; [226; 336]; [195; 337]; [21; 338]; [29; 339]; [185; 340]; [225; 341]; [227; 342]; [45; 343]; [157; 344]; [96; 345]; [37; 346]; [135; 347]; [279; 348]; [240; 349]; [225; 350]; [128; 351]; [182; 352]; [325; 353]; [63; 354]; [13; 355]; [339; 356]; [343; 357]; [115; 358]; [236; 359]; [297; 360]; [251; 361]; [92; 362]; [359; 363]; [53; 364]; [6; 365]; [118; 366]; [55; 367]; [103; 368]; [135; 369]; [87; 370]; [241; 371]; [66; 372]; [175; 373]; [268; 374]; [38; 375]; [51; 376]; [164; 377]; [260; 378]; [335; 379]; [340; 380]; [344; 381]; [261; 382]; [283; 383]; [118; 384]; [358; 385]; [13; 386]; [323; 387]; [51; 388]; [191; 389]; [317; 390]; [363; 391]; [25; 392]; [349; 393]; [177; 394]; [75; 395]; [185; 396]; [283; 397]; [133; 398]; [179; 399]; [378; 400]; [124; 401]; [364; 402]; [201; 403]; [344; 404]; [300; 405]; [167; 406]; [19; 407]; [45; 408]; [297; 409]; [299; 410]; [94; 411]; [410; 412]; [384; 413]; [371; 414]; [414; 415]; [332; 416]; [191; 417]; [166; 418]; [350; 419]; [73; 420]; [307; 421]; [320; 422]; [393; 423]; [418; 424]; [3; 425]; [6; 426]; [104; 427]; [176; 428]; [392; 429]; [334; 430]; [277; 431]; [218; 432]; [211; 433]; [8; 434]; [200; 435]; [337; 436]; [78; 437]; [403; 438]; [405; 439]; [406; 440]; [212; 441]; [261; 442]; [46; 443]; [360; 444]; [41; 445]; [197; 446]; [218; 447]; [148; 448]; [270; 449]; [98; 450]; [271; 451]; [301; 452]; [414; 453]; [390; 454]; [153; 455]; [249; 456]; [50; 457]; [353; 458]; [312; 459]; [276; 460]; [358; 461]; [25; 462]; [212; 463]; [220; 464]; [132; 465]; [345; 466]; [256; 467]; [208; 468]; [136; 469]; [11; 470]; [162; 471]; [294; 472]; [101; 473]; [89; 474]; [279; 475]; [120; 476]; [369; 477]; [45; 478]; [160; 479]; [214; 480]; [442; 481]; [296; 482]; [62; 483]; [402; 484]; [356; 485]; [324; 486]; [408; 487]; [402; 488]; [155; 489]; [366; 490]; [53; 491]; [118; 492]; [325; 493]; [16; 494]; [454; 495]; [34; 496]; [40; 497]; [298; 498]; [237; 499]; [188; 500]; [372; 501]; [190; 502]; [220; 503]; [201; 504]; [172; 505]; [160; 506]; [207; 507]; [95; 508]; [454; 509]; [235; 510]; [262; 511]; [248; 512]; [111; 513]; [185; 514]; [7; 515]; [93; 516]; [78; 517]; [101; 518]; [341; 519]; [106; 520]; [380; 521]; [233; 522]; [275; 523]; [59; 524]; [522; 525]; [409; 526]; [22; 527]; [372; 528]; [460; 529]; [259; 530]; [295; 531]; [84; 532]; [64; 533]; [389; 534]; [134; 535]; [433; 536]; [15; 537]; [13; 538]; [426; 539]; [173; 540]; [284; 541]; [413; 542]; [340; 543]; [487; 544]; [1; 545]; [365; 546]; [55; 547]; [2; 548]; [138; 549]; [269; 550]; [369; 551]; [427; 552]; [1; 553]; [89; 554]; [444; 555]; [515; 556]; [318; 557]; [544; 558]; [14; 559]; [310; 560]; [37; 561]; [453; 562]; [204; 563]; [6; 564]; [347; 565]; [192; 566]; [26; 567]; [481; 568]; [42; 569]; [295; 570]; [5; 571]; [445; 572]; [224; 573]; [233; 574]; [294; 575]; [287; 576]; [96; 577]; [471; 578]; [185; 579]; [432; 580]; [557; 581]; [543; 582]; [342; 583]; [488; 584]; [250; 585]; [279; 586]; [169; 587]; [292; 588]; [293; 589]; [186; 590]; [31; 591]; [586; 592]; [351; 593]; [487; 594]; [397; 595]; [522; 596]; [68; 597]; [52; 598]; [554; 599]; [381; 600]; [492; 601]; [102; 602]; [114; 603]; [459; 604]; [364; 605]; [505; 606]; [587; 607]; [484; 608]; [570; 609]; [283; 610]; [11; 611]; [83; 612]; [443; 613]; [105; 614]; [212; 615]; [346; 616]; [541; 617]; [251; 618]; [419; 619]; [11; 620]; [347; 621]; [396; 622]; [332; 623]; [271; 624]; [11; 625]; [349; 626]; [16; 627]; [572; 628]; [375; 629]; [399; 630]; [78; 631]; [625; 632]; [477; 633]; [511; 634]; [437; 635]; [219; 636]; [551; 637]; [83; 638]; [446; 639]; [281; 640]; [163; 641]; [308; 642]; [112; 643]; [434; 644]; [110; 645]; [283; 646]; [535; 647]; [253; 648]; [538; 649]; [401; 650]; [589; 651]; [619; 652]; [144; 653]; [483; 654]; [375; 655]; [266; 656]; [151; 657]; [46; 658]; [169; 659]; [102; 660]; [84; 661]; [527; 662]; [320; 663]; [647; 664]; [225; 665]; [136; 666]; [70; 667]; [171; 668]; [325; 669]; [650; 670]; [241; 671]; [347; 672]; [321; 673]; [530; 674]; [430; 675]; [521; 676]; [314; 677]; [506; 678]; [303; 679]; [95; 680]; [589; 681]; [202; 682]; [117; 683]; [450; 684]; [296; 685]; [2; 686]; [463; 687]; [423; 688]; [72; 689]; [276; 690]; [431; 691]; [16; 692]; [169; 693]; [15; 694]; [591; 695]; [392; 696]; [532; 697]; [8; 698]; [311; 699]; [687; 700]; [660; 701]; [398; 702]; [341; 703]; [312; 704]; [687; 705]; [406; 706]; [656; 707]; [159; 708]; [109; 709]; [603; 710]; [394; 711]; [368; 712]; [186; 713]; [531; 714]; [147; 715]; [507; 716]; [678; 717]; [366; 718]; [161; 719]; [170; 720]; [110; 721]; [116; 722]; [30; 723]; [31; 724]; [362; 725]; [447; 726]; [421; 727]; [157; 728]; [233; 729]; [30; 730]; [84; 731]; [11; 732]; [33; 733]; [363; 734]; [726; 735]; [518; 736]; [81; 737]; [407; 738]; [453; 739]; [376; 740]; [105; 741]; [651; 742]; [193; 743]; [611; 744]; [734; 745]; [711; 746]; [22; 747]; [323; 748]; [405; 749]; [357; 750]; [737; 751]; [164; 752]; [439; 753]; [574; 754]; [698; 755]; [353; 756]; [704; 757]; [703; 758]; [24; 759]; [450; 760]; [600; 761]; [31; 762]; [297; 763]; [29; 764]; [760; 765]; [550; 766]; [663; 767]; [444; 768]; [50; 769]; [729; 770]])
+
+let test9 _ = assert_equal 16696459 (minimumScore [19183344; 64257384; 33889679; 98493512; 91396478; 7604741; 63462743; 58669582; 37878044; 21181585] [[0; 1]; [0; 2]; [0; 3]; [2; 4]; [2; 5]; [2; 6]; [6; 7]; [7; 8]; [7; 9]])
+
+
+    (* Grouping test cases *)
+    let suite = "Test Suite for minimumScore" >::: [
+        
+  "test1" >:: test1;
+  "test2" >:: test2;
+  "test3" >:: test3;
+  "test4" >:: test4;
+  "test5" >:: test5;
+  "test6" >:: test6;
+  "test7" >:: test7;
+  "test8" >:: test8;
+  "test9" >:: test9;
+    ]
+
+
+    (* Running the tests *)
+    let () = run_test_tt_main suite
+end

minimum_score_after_removals_on_a_tree/scala_tests/MySuite.scala

@@ -0,0 +1,40 @@
+
+class MySuite extends munit.FunSuite {
+  
+  test("test1") {
+    assertEquals(Main.minimumScore(List(1,5,5,4,11),List(List(0,1),List(1,2),List(1,3),List(3,4))), 9)
+  }
+
+  test("test2") {
+    assertEquals(Main.minimumScore(List(5,5,2,4,4,2),List(List(0,1),List(1,2),List(5,2),List(4,3),List(1,3))), 0)
+  }
+
+  test("test3") {
+    assertEquals(Main.minimumScore(List(39045103, 15550497, 79685668, 124003451, 32725932, 108399963, 133385490, 48249931, 64758079, 34548650, 19593660, 130197451, 53745824, 11985636, 87900135, 48185569, 20696174, 118049723, 63620636, 130219241, 10156815, 69875549, 115630408, 96782386, 18036106, 70021212, 95470250, 85590082, 57391671, 9869525, 23610268, 121124015, 18548509, 76481612, 51160597, 71602346, 14538331, 133809365, 108744350, 84011700, 127777698, 78100097, 21894607, 51948912, 43616534, 11406331, 92726015, 98366360, 54509988, 103477407, 36536726, 102701034, 110941548, 48472304, 18601685, 35891697, 34575161, 114790688, 130283194, 107428460, 43049949, 38272611, 76257066, 75683517, 89494505, 25609490, 127971029, 14990378, 47853921, 95207490, 111869703, 126425531, 52482980, 4722350, 741922, 118287681, 90288103, 33129714, 9012566, 107974136, 111985071, 50625142, 36694826, 81029268, 35112688, 12635540, 133775511, 112651486, 88849191, 39833078, 3926422, 69466928, 76732046, 134062088, 77636817, 2235672, 91596648, 68125897, 91034059, 101281438, 76989619, 5293237, 71513939, 2667352, 99155504, 86864830, 95539134, 115470600, 37794764, 84178460, 117489174, 105493766, 68173937, 122725784, 84185783, 501083, 10908019, 115686239, 68589375, 23431456, 13331555, 54194501, 88384564, 1648770, 113689227, 82549433, 69732346, 62476754, 87519936, 105352072, 17109228, 122673322, 66745265, 38272412, 22595418, 66897442, 21451648, 110332805, 99960818, 25900635, 110857893, 62072715, 70037007, 59106893, 15704282, 38499789, 29432260, 16221100, 117837453, 42702258, 12597204, 81515504, 15632455, 43103485, 102206603, 32942953, 27699567, 14681232, 50192930, 124276570, 4928703, 17190006, 73059039, 27602195, 1318602, 112485717, 34607491, 126332916, 10922463, 74766726, 86564773, 9374324, 36744295, 40911119, 83673207, 43806536, 128126355, 78634139, 120452299, 81518403, 28988605, 82550248, 100282582, 56118011, 109622956, 12278520, 86197884, 36655692, 22141222, 71754040, 90574367, 72285250, 17795192, 19424877, 9234662, 2615396, 98758540, 37708180, 59051993, 70336210, 24205223, 89504607, 61042144, 25098330, 1721035, 88228891, 52044034, 85343131, 22814124, 55568629, 12220082, 69838, 77348395, 78073336, 91833037, 98206495, 39442128, 70171950, 49756772, 44006964, 104202478, 34357003, 30833334, 79965811, 91833633, 12562515, 26277457, 47962066, 54992194, 70489785, 24508795, 18423938, 20673302, 88880400, 32016240, 33266126, 25286431, 56536588, 44895577, 83296025, 60571348, 78930376, 37789204, 83853051, 43835017, 40753912, 41020545, 14575859, 97690934, 92539319, 94606475, 63836761, 99452527, 99048976, 50280641, 67389231, 21426327, 98785360, 13283755, 67129404, 64171443, 58115102, 63048413, 10086379, 15841986, 32403926, 76153092, 83917927, 66089742, 29795373, 46014081, 25532378, 47500777, 5506626, 13649580, 23792270, 75389679, 28993332, 76608379, 62302311, 27338211, 3993043, 31260857, 47153222, 66535549, 16353258, 90399618, 125324866, 3524775, 2940803, 28315426, 2051338, 38939413, 78875507, 5864816, 85712205, 98140478, 104250999, 20758091, 16316646, 92527587, 1032511, 14221181, 54282998, 87572875, 27784436, 60247077, 15541896, 82821025, 38990927, 96578055, 87871965, 97743419, 81602510, 69461038, 2596373, 97976543, 80806611, 79488187, 68997735, 14949569, 13319903, 22227277, 9401775, 64794289, 48524085, 95293020, 52439804, 90269599, 29455706, 76686180, 8307867, 95046599, 70783637, 96332244, 71580751, 45713641, 31179882, 47384278, 82223805, 97900612, 81464106, 69128207, 69712308, 56945508, 77473436, 78118711, 96289466, 5705543, 46795629, 19781627, 44777695, 36358480, 14251460, 91529378, 99240059, 1162873),List(List(0, 1), List(0, 2), List(0, 3), List(2, 4), List(1, 5), List(1, 6), List(3, 7), List(0, 8), List(7, 9), List(2, 10), List(0, 11), List(4, 12), List(11, 13), List(6, 14), List(3, 15), List(12, 16), List(1, 17), List(15, 18), List(5, 19), List(0, 20), List(17, 21), List(3, 22), List(0, 23), List(3, 24), List(14, 25), List(12, 26), List(26, 27), List(19, 28), List(19, 29), List(13, 30), List(18, 31), List(16, 32), List(16, 33), List(6, 34), List(8, 35), List(6, 36), List(13, 37), List(3, 38), List(0, 39), List(10, 40), List(4, 41), List(29, 42), List(4, 43), List(0, 44), List(9, 45), List(42, 46), List(39, 47), List(15, 48), List(8, 49), List(2, 50), List(35, 51), List(47, 52), List(43, 53), List(34, 54), List(34, 55), List(30, 56), List(53, 57), List(9, 58), List(0, 59), List(34, 60), List(1, 61), List(59, 62), List(53, 63), List(62, 64), List(15, 65), List(58, 66), List(15, 67), List(66, 68), List(5, 69), List(34, 70), List(40, 71), List(43, 72), List(64, 73), List(71, 74), List(42, 75), List(0, 76), List(35, 77), List(24, 78), List(41, 79), List(49, 80), List(3, 81), List(12, 82), List(78, 83), List(80, 84), List(28, 85), List(43, 86), List(56, 87), List(57, 88), List(86, 89), List(4, 90), List(39, 91), List(31, 92), List(21, 93), List(39, 94), List(42, 95), List(11, 96), List(57, 97), List(91, 98), List(94, 99), List(93, 100), List(28, 101), List(54, 102), List(37, 103), List(91, 104), List(75, 105), List(13, 106), List(64, 107), List(89, 108), List(38, 109), List(4, 110), List(110, 111), List(23, 112), List(37, 113), List(68, 114), List(103, 115), List(11, 116), List(98, 117), List(18, 118), List(95, 119), List(78, 120), List(99, 121), List(17, 122), List(65, 123), List(36, 124), List(83, 125), List(86, 126), List(4, 127), List(107, 128), List(54, 129), List(97, 130), List(46, 131), List(31, 132), List(101, 133), List(7, 134), List(128, 135), List(103, 136), List(61, 137), List(28, 138), List(122, 139), List(105, 140), List(100, 141), List(54, 142), List(121, 143), List(88, 144), List(64, 145), List(33, 146), List(122, 147), List(96, 148), List(101, 149), List(86, 150), List(52, 151), List(34, 152), List(105, 153), List(111, 154), List(54, 155), List(152, 156), List(62, 157), List(125, 158), List(50, 159), List(78, 160), List(19, 161), List(77, 162), List(99, 163), List(10, 164), List(71, 165), List(137, 166), List(28, 167), List(52, 168), List(167, 169), List(15, 170), List(46, 171), List(72, 172), List(4, 173), List(76, 174), List(35, 175), List(170, 176), List(149, 177), List(68, 178), List(2, 179), List(76, 180), List(32, 181), List(119, 182), List(2, 183), List(133, 184), List(63, 185), List(82, 186), List(158, 187), List(111, 188), List(122, 189), List(144, 190), List(168, 191), List(3, 192), List(173, 193), List(170, 194), List(181, 195), List(166, 196), List(117, 197), List(113, 198), List(131, 199), List(165, 200), List(184, 201), List(164, 202), List(181, 203), List(182, 204), List(165, 205), List(85, 206), List(11, 207), List(163, 208), List(44, 209), List(107, 210), List(82, 211), List(64, 212), List(81, 213), List(78, 214), List(91, 215), List(4, 216), List(81, 217), List(182, 218), List(180, 219), List(186, 220), List(162, 221), List(14, 222), List(140, 223), List(161, 224), List(183, 225), List(17, 226), List(26, 227), List(11, 228), List(119, 229), List(166, 230), List(214, 231), List(25, 232), List(100, 233), List(211, 234), List(34, 235), List(235, 236), List(179, 237), List(60, 238), List(17, 239), List(152, 240), List(87, 241), List(220, 242), List(44, 243), List(211, 244), List(182, 245), List(207, 246), List(117, 247), List(68, 248), List(150, 249), List(89, 250), List(227, 251), List(54, 252), List(125, 253), List(218, 254), List(15, 255), List(52, 256), List(201, 257), List(126, 258), List(129, 259), List(111, 260), List(176, 261), List(155, 262), List(20, 263), List(256, 264), List(183, 265), List(36, 266), List(124, 267), List(107, 268), List(241, 269), List(51, 270), List(108, 271), List(4, 272), List(82, 273), List(194, 274), List(127, 275), List(148, 276), List(107, 277), List(76, 278), List(204, 279), List(76, 280), List(12, 281), List(232, 282), List(10, 283), List(152, 284), List(188, 285), List(159, 286), List(3, 287), List(194, 288), List(134, 289), List(155, 290), List(270, 291), List(79, 292), List(241, 293), List(228, 294), List(108, 295), List(80, 296), List(112, 297), List(261, 298), List(235, 299), List(6, 300), List(276, 301), List(194, 302), List(207, 303), List(108, 304), List(202, 305), List(172, 306), List(18, 307), List(33, 308), List(198, 309), List(239, 310), List(128, 311), List(67, 312), List(70, 313), List(250, 314), List(264, 315), List(106, 316), List(50, 317), List(57, 318), List(171, 319), List(158, 320), List(0, 321), List(274, 322), List(141, 323), List(289, 324), List(287, 325), List(154, 326), List(211, 327), List(106, 328), List(123, 329), List(179, 330), List(297, 331), List(258, 332), List(290, 333), List(22, 334), List(82, 335), List(166, 336), List(23, 337), List(53, 338), List(194, 339), List(229, 340), List(227, 341), List(224, 342), List(116, 343), List(230, 344), List(340, 345), List(297, 346), List(265, 347), List(23, 348), List(175, 349), List(27, 350), List(178, 351), List(162, 352), List(79, 353), List(149, 354), List(34, 355), List(265, 356))), 60832)
+  }
+
+  test("test4") {
+    assertEquals(Main.minimumScore(List(1410129, 111823420, 77620094, 79075990, 131864465, 41473276, 30928457, 52693649, 44641410, 55306615, 119295381, 22579609, 52688757, 5437459, 108082206, 81442106, 85825558, 29587129, 67549932, 28173627, 101165776, 30558705, 13360221, 748510, 7380487, 40647716, 4547959, 100115550, 114221024, 93360252, 67682076, 99347112, 92057014, 80088424, 70346654, 74573736, 62264412, 123794858, 76853799, 36502330, 27072942, 89309030, 74754660, 87265598, 60576509, 5838337, 92187699, 71748944, 133545795, 71550090, 118372730, 115805365, 9565753, 121469393, 22473557, 103692429, 68652815, 10112982, 17268747, 87628058, 129331724, 49195101, 43169057, 132724180, 64098732, 105058296, 19459694, 113077780, 104896909, 72067804, 114793475, 76696435, 115505875, 97213651, 111101941, 44672218, 93094231, 58359325, 100324232, 89676938, 12177105, 15997542, 49562179, 66923031, 115809004, 7453475, 126203970, 48577021, 110118862, 98972812, 38848944, 62399561, 16881968, 98705353, 11154459, 109861070, 8705414, 32106231, 22680840, 33051923, 102235883, 30987261, 80778871, 58974883, 11012220, 56459157, 125407274, 87598735, 77553983, 58966746, 9912786, 132523500, 79741165, 95856814, 7649801, 47214066, 93084155, 79903495, 6317108, 81422973, 116444509, 95591249, 123300199, 128009063, 96938845, 12180556, 71760285, 64933617, 10442160, 58358720, 15238479, 11148550, 25434107, 92325956, 25449800, 49927470, 91506133, 8415950, 81423485, 27614751, 75059316, 50261988, 27768784, 82485497, 16778587, 6032272, 27146280, 72408106, 20062488, 46749214, 57554428, 27477277, 61876397, 82353641, 107474624, 43594832, 73057974, 99214323, 113576567, 69758927, 113609776, 17074243, 78526666, 79038217, 69064856, 10001063, 14233303, 63206918, 79119447, 17806569, 131603785, 52089761, 28524317, 26897117, 92769186, 97784716, 16400752, 35462988, 54455886, 39374277, 79675908, 11637194, 124137949, 74976954, 69741015, 72954832, 96053318, 77889004, 96884694, 56843735, 30617617, 9397973, 51091423, 1153122, 56843321, 66238510, 57448635, 1423952, 51780344, 51391679, 23215852, 78248683, 122639943, 7956704, 81766695, 99128943, 67583713, 81852287, 20313212, 70003298, 119118950, 13520511, 66419700, 15109884, 42963397, 97591325, 20882710, 5417782, 44270236, 44198512, 71829241, 19595905, 19868047, 121778513, 22400332, 21176459, 2469072, 25160197, 89301792, 2631049, 34931664, 93803880, 34335862, 4205763, 11184215, 27247456, 45076983, 69266160, 14301048, 50703092, 21316233, 40121440, 39434154, 66819824, 19209416, 73080714, 108231648, 25968779, 41559587, 26745096, 92945551, 86033893, 113255160, 21755481, 64328613, 4244442, 125480194, 94465975, 28003337, 41578343, 78497886, 17034041, 99898915, 47150434, 10777903, 5124484, 13646562, 42593024, 14034938, 70395387, 97093067, 54647990, 75060077, 67539368, 24118064, 49489613, 52540280, 65403218, 61716658, 29659050, 15761901, 10563291, 63474588, 94425781, 54319687, 33880568, 87486196, 117032175, 129714012, 90246785, 17923912, 94487335, 22245566, 29321977, 93424775, 87713613, 412451, 94715295, 13867796, 86944060, 28334007, 78502935, 51349930, 24921359, 76416600, 18139418, 89580062, 44449013, 72738170, 83352697, 84606553, 49983328, 90501506, 22870633, 37652966, 29248044, 65707643, 16422845, 62434958, 95143425, 80055625, 44612033, 34034005, 77474641, 29800282, 48472604, 34552109, 23664042, 23161114, 6078395, 97661269, 106676018, 56617458, 77831926, 52327106, 19807294, 127328611, 114665420, 55490632, 133617183, 63788237, 83390590, 96798633, 34511975, 87406709, 88699576, 93330398, 82399477, 93895394, 43652314, 90849059, 82835735, 33499922, 10014128, 62922480, 73768850, 87602185, 61757568, 98405134, 68063758, 1521412, 23270122, 78154497, 63189945, 47348208, 33404592, 45853465, 89807899, 34204948, 31070471, 84071484, 90857392, 75105565, 39467132, 50029796, 91722242, 78711315, 33517856, 55257048, 22081519, 49021159, 44042067, 77846121, 4271919, 51786559, 90387659, 8962909, 2879729, 26480228, 64964683, 89197622, 8839560, 56752068, 71855243, 67763657, 95674100, 17284303, 49635886, 44605337, 69409772, 78374140, 24304885, 48786758, 88178174, 56145034, 18369998, 85503419, 63017350, 58847195, 41968586, 65813162, 76545554),List(List(0, 1), List(0, 2), List(0, 3), List(3, 4), List(1, 5), List(0, 6), List(1, 7), List(4, 8), List(2, 9), List(3, 10), List(8, 11), List(1, 12), List(12, 13), List(2, 14), List(1, 15), List(5, 16), List(4, 17), List(15, 18), List(14, 19), List(5, 20), List(1, 21), List(11, 22), List(9, 23), List(13, 24), List(6, 25), List(11, 26), List(1, 27), List(18, 28), List(24, 29), List(0, 30), List(19, 31), List(7, 32), List(4, 33), List(1, 34), List(29, 35), List(35, 36), List(33, 37), List(5, 38), List(27, 39), List(7, 40), List(11, 41), List(28, 42), List(41, 43), List(11, 44), List(17, 45), List(35, 46), List(18, 47), List(18, 48), List(2, 49), List(37, 50), List(24, 51), List(23, 52), List(34, 53), List(49, 54), List(5, 55), List(46, 56), List(45, 57), List(51, 58), List(13, 59), List(48, 60), List(52, 61), List(33, 62), List(61, 63), List(22, 64), List(22, 65), List(29, 66), List(60, 67), List(48, 68), List(0, 69), List(23, 70), List(10, 71), List(67, 72), List(51, 73), List(32, 74), List(22, 75), List(33, 76), List(46, 77), List(53, 78), List(43, 79), List(41, 80), List(34, 81), List(26, 82), List(32, 83), List(0, 84), List(11, 85), List(20, 86), List(71, 87), List(13, 88), List(67, 89), List(43, 90), List(68, 91), List(13, 92), List(2, 93), List(2, 94), List(38, 95), List(95, 96), List(35, 97), List(5, 98), List(54, 99), List(91, 100), List(32, 101), List(52, 102), List(46, 103), List(89, 104), List(100, 105), List(16, 106), List(100, 107), List(46, 108), List(44, 109), List(43, 110), List(11, 111), List(70, 112), List(4, 113), List(47, 114), List(48, 115), List(50, 116), List(3, 117), List(71, 118), List(72, 119), List(108, 120), List(79, 121), List(47, 122), List(118, 123), List(98, 124), List(70, 125), List(75, 126), List(104, 127), List(28, 128), List(24, 129), List(123, 130), List(84, 131), List(68, 132), List(1, 133), List(59, 134), List(118, 135), List(78, 136), List(58, 137), List(65, 138), List(95, 139), List(27, 140), List(63, 141), List(115, 142), List(26, 143), List(65, 144), List(84, 145), List(33, 146), List(138, 147), List(135, 148), List(130, 149), List(31, 150), List(55, 151), List(103, 152), List(70, 153), List(122, 154), List(66, 155), List(81, 156), List(131, 157), List(123, 158), List(106, 159), List(74, 160), List(95, 161), List(12, 162), List(53, 163), List(118, 164), List(21, 165), List(83, 166), List(26, 167), List(131, 168), List(64, 169), List(55, 170), List(78, 171), List(26, 172), List(30, 173), List(154, 174), List(168, 175), List(174, 176), List(92, 177), List(134, 178), List(78, 179), List(43, 180), List(61, 181), List(12, 182), List(159, 183), List(120, 184), List(162, 185), List(143, 186), List(48, 187), List(97, 188), List(21, 189), List(85, 190), List(101, 191), List(9, 192), List(171, 193), List(23, 194), List(155, 195), List(29, 196), List(58, 197), List(110, 198), List(192, 199), List(148, 200), List(188, 201), List(51, 202), List(102, 203), List(22, 204), List(74, 205), List(159, 206), List(119, 207), List(41, 208), List(88, 209), List(184, 210), List(42, 211), List(169, 212), List(53, 213), List(201, 214), List(132, 215), List(146, 216), List(100, 217), List(182, 218), List(158, 219), List(84, 220), List(16, 221), List(116, 222), List(53, 223), List(213, 224), List(20, 225), List(76, 226), List(180, 227), List(168, 228), List(72, 229), List(65, 230), List(201, 231), List(118, 232), List(144, 233), List(48, 234), List(17, 235), List(171, 236), List(79, 237), List(22, 238), List(150, 239), List(147, 240), List(105, 241), List(230, 242), List(238, 243), List(47, 244), List(104, 245), List(245, 246), List(38, 247), List(136, 248), List(147, 249), List(95, 250), List(101, 251), List(110, 252), List(245, 253), List(236, 254), List(100, 255), List(157, 256), List(210, 257), List(56, 258), List(21, 259), List(54, 260), List(58, 261), List(191, 262), List(166, 263), List(81, 264), List(262, 265), List(95, 266), List(220, 267), List(146, 268), List(196, 269), List(76, 270), List(196, 271), List(223, 272), List(87, 273), List(144, 274), List(170, 275), List(232, 276), List(165, 277), List(246, 278), List(117, 279), List(215, 280), List(180, 281), List(20, 282), List(171, 283), List(165, 284), List(37, 285), List(52, 286), List(168, 287), List(98, 288), List(14, 289), List(121, 290), List(216, 291), List(129, 292), List(79, 293), List(81, 294), List(99, 295), List(154, 296), List(135, 297), List(15, 298), List(9, 299), List(169, 300), List(186, 301), List(137, 302), List(299, 303), List(54, 304), List(94, 305), List(87, 306), List(202, 307), List(111, 308), List(231, 309), List(58, 310), List(272, 311), List(80, 312), List(258, 313), List(5, 314), List(67, 315), List(136, 316), List(280, 317), List(42, 318), List(74, 319), List(94, 320), List(135, 321), List(167, 322), List(294, 323), List(175, 324), List(214, 325), List(198, 326), List(93, 327), List(173, 328), List(302, 329), List(148, 330), List(87, 331), List(230, 332), List(188, 333), List(281, 334), List(212, 335), List(70, 336), List(135, 337), List(337, 338), List(214, 339), List(210, 340), List(288, 341), List(207, 342), List(252, 343), List(200, 344), List(11, 345), List(58, 346), List(214, 347), List(113, 348), List(34, 349), List(256, 350), List(42, 351), List(185, 352), List(44, 353), List(331, 354), List(297, 355), List(132, 356), List(152, 357), List(205, 358), List(48, 359), List(268, 360), List(148, 361), List(43, 362), List(71, 363), List(86, 364), List(174, 365), List(303, 366), List(220, 367), List(190, 368), List(268, 369), List(205, 370), List(75, 371), List(215, 372), List(145, 373), List(242, 374), List(85, 375), List(31, 376), List(224, 377), List(160, 378), List(41, 379), List(104, 380), List(45, 381), List(196, 382), List(323, 383), List(27, 384), List(286, 385), List(23, 386), List(90, 387), List(382, 388), List(336, 389), List(287, 390), List(218, 391), List(339, 392), List(51, 393), List(353, 394), List(60, 395), List(17, 396), List(326, 397), List(181, 398), List(81, 399), List(272, 400), List(362, 401), List(16, 402), List(107, 403), List(195, 404), List(55, 405), List(78, 406), List(131, 407), List(334, 408), List(327, 409), List(7, 410), List(371, 411))), 97460)
+  }
+
+  test("test5") {
+    assertEquals(Main.minimumScore(List(103196059, 98360418, 108456973, 54179122, 28805366, 51726481, 6683206, 62014426, 77145627, 102812886, 110784059, 10294203, 60643644, 54578536, 5892302, 122905019, 61269214, 63956158, 105687818, 91126453, 42280430, 103856424, 39092450, 39766740, 52434947, 46881983, 17660345, 107072309, 115315631, 10537737, 83856625, 11080447, 93481095, 67712760, 45991505, 32814606, 38478182, 79788721, 12698646, 83035766, 42988578, 97557233, 84590824, 27197925, 117419303, 132697127, 36297191, 60050642, 129089101, 8794840, 71951402, 129435507, 42108318, 24884594, 125735039, 72149905, 62948723, 71450493, 40769334, 78485247, 124123775, 8040288, 108335910, 20658800, 131090517, 17001922, 29077412, 17790736, 58989628, 2333427, 133434996, 53867749, 94265511, 102022265, 13212379, 14310036, 93901734, 1064841, 21835125, 7154407, 98509582, 22944980, 24604909, 76216637, 49203359, 76506549, 110207874, 81632617, 7761007, 41469007, 13230735, 8831193, 49027416, 13002894, 17462104, 104060181, 16799622, 126857410, 133757601, 61985867, 54166993, 26018725, 71639181, 123408045, 103726914, 67242369, 16911526, 91100067, 119524280, 64027221, 100268005, 99466930, 68592926, 48748762, 65975488, 40137382, 44470316, 74607851, 105191197, 41903095, 28261854, 53836839, 96457655, 81640756, 95432090, 46799639, 25689730, 7588727, 95283035, 129011727, 110212443, 52709426, 54230319, 52992742, 10431629, 23616289, 9261393, 53180624, 20200908, 125607928, 125892197, 126349274, 53491338, 131042232, 86305017, 84939603, 34462993, 85423237, 55885570, 42475154, 126231540, 46911350, 34521365, 11067897, 99121826, 50890236, 30943096, 87255257, 87580128, 70781622, 37998675, 62197618, 130463558, 113209636, 85853226, 96385814, 25397108, 69554619, 92522248, 2007999, 42211246, 62142171, 33260147, 50070923, 70732395, 126537280, 20596681, 86561351, 121351340, 108917049, 103429964, 108004577, 92946240, 131809765, 124272772, 127732287, 90564849, 2750270, 9565440, 103432118, 67581150, 9151363, 69650550, 93219555, 27494124, 90577788, 123676978, 23386161, 106135091, 125971150, 109920820, 33179458, 58512365, 68350408, 3445460, 72146935, 86858581, 90254568, 51971958, 67869220, 33787489, 2188265, 125919828, 19998956, 89476769, 35261600, 35059465, 76946166, 90745381, 72606565, 110995458, 108652745, 117775296, 37880057, 31493233, 25136356, 95122909, 10119856, 120355067, 82587251, 64696984, 109381527, 2337467, 68171284, 66024889, 97360645, 15719486, 14496384, 9733024, 70559637, 33645273, 86990546, 31468549, 7411105, 7599886, 83306705, 94921440, 26860020, 16559758, 120342134, 57091526, 9669731, 56043404, 57146928, 115751889, 94501309, 72982310, 105073130, 11027274, 68972402, 121894629, 122369125, 33256034, 3372679, 81078685, 75339352, 63224638, 26620971, 10136521, 107396523, 88323056, 91301701, 23274637, 101483253, 87884964, 47503152, 85296440, 89329971, 97707621, 82104915, 17818813, 75705902, 53938681, 4972267, 93202833, 27613929, 54658301, 16707601, 42387151, 14902855, 18208524, 19167371, 45967738, 66724087, 41125768, 102215361, 77588747, 77773468, 120172642, 33953397, 52679767, 79652303, 42069349, 91782751, 44593302, 97619518, 24536430, 14158501, 40052195, 133953066, 75184427, 504329, 61718216, 78539769, 50140693, 127363312, 85248827, 63754570, 8133631, 9420963, 55490677, 123108630, 10781537, 24252391, 22130674, 5368893, 27869597, 81723732, 78298872, 22048529, 19728253, 13140185, 64848742, 105114587, 74393256, 54333249, 63033452, 73168446, 43655248, 15559348, 14148598, 76897456, 96735692, 79454683, 58674000, 30613359, 50095098, 41232909, 44278881, 43737694, 2726766, 81169937, 17994556, 122637558, 84987442, 46258946, 87878244, 25349867, 36027304, 79174981, 66719893, 65247624, 19247013, 81996300, 337139, 69038060, 95277757, 89823583, 88926671, 12214021, 18392089, 20364581, 26584234, 131293928, 91971911, 20694059, 81896555, 24722595, 50586095, 14914535, 77353158, 19537355, 499564, 62505946, 38188783, 32891254, 41894279, 20087241, 45455931, 92106204, 114837937, 45731353, 25200868, 109108990, 8482175, 7164032, 88265847, 23599853, 28312168, 59205317, 96302362, 93724540, 37393190, 84691499, 65316433, 108005204, 41136484, 25614968, 51763022, 20069262, 17406546, 66174575, 114134581, 20816109, 72479236, 37071220, 102753047, 47235503, 38270164, 124483756, 14004788, 18340378, 78442581, 29337672, 85436814, 53082175, 9656675, 61613676, 62690971, 7096152, 112377298, 34949333, 79000482, 69003748, 32392967, 11472970, 26787195, 55097895, 12191811, 76689750, 33812532, 10131800, 29584292, 91378980, 22446063, 1385239, 14276556, 59447790, 8381878, 33395376, 25248089, 47317993, 68730001, 64485606, 47658673, 44816622, 50007342, 95935875, 37299051, 47838025, 76718867, 25979563, 88790935, 1732669, 47441594, 43178220, 76800875, 52513291, 48001941, 91436518, 69969526, 81995228, 51169941, 22147256, 50596480, 22358153, 60644793, 50130580, 47802717, 49574795, 47742667, 19044517, 80085111, 97991248, 74203482, 76566491, 31427050, 47620113, 93313500, 3999875, 55957484, 945879, 38548824, 6881108, 38340593, 111862369, 77820517, 44288595, 84223488, 32108441, 42161520, 35493323, 27304542, 52586600, 8237977, 61527010, 72333998, 80468308, 7329478, 91146753, 131539960, 2890811, 73985692, 29658454, 13402565, 84826817, 20784310, 69112139, 99841103, 24810477, 29075999, 52736619, 26443845, 12734140, 14442346, 77552001, 54974397, 2166008, 42443622, 19011780, 28722918, 46765220, 33740438, 73467800, 79148589, 26218110, 32797552, 95991399, 82059463, 85989219, 14041844, 86325653, 74439118, 101011596, 92799618, 86141064, 58752812, 42787212, 92699288, 69371066, 61130657, 130230072, 59230323, 28398445, 4471480, 79975882, 187388, 47708788, 13815124, 78688639, 83513636, 44767978, 81194698, 93244569, 85053888, 25167015, 57267749, 30526731, 28523961, 71435193, 92082444, 45167975, 28121292, 98152001, 16487667, 4323399, 35917353, 45872093, 63543425, 67602243, 57322131, 108676086, 31958277, 50855561, 14361652, 93644250, 86646247, 40520054, 37980277, 17566732, 8224145, 85616350, 23848806, 10371938, 26644283, 89911165, 35280045, 84406307, 30702138, 81642925, 36307779, 31309026, 41290370, 36046587, 31134151, 58778176, 27442918, 75149906, 66968335, 7969353, 51926531, 27960498, 26024307, 40128148, 28696096, 3749157, 53403845, 52379380, 30573841, 74846489, 60756145, 8244743, 18733413, 22543375, 3055790, 73651720, 46026265, 58331053, 38606040, 34795481, 96955826, 31970430, 19517372, 4811517, 11221406, 39897115, 26803915, 72696412, 88878485, 28833418, 33486288),List(List(0, 1), List(1, 2), List(0, 3), List(0, 4), List(3, 5), List(2, 6), List(1, 7), List(0, 8), List(6, 9), List(8, 10), List(5, 11), List(6, 12), List(5, 13), List(0, 14), List(13, 15), List(0, 16), List(16, 17), List(12, 18), List(3, 19), List(14, 20), List(16, 21), List(13, 22), List(22, 23), List(14, 24), List(5, 25), List(17, 26), List(11, 27), List(3, 28), List(8, 29), List(7, 30), List(1, 31), List(19, 32), List(1, 33), List(12, 34), List(8, 35), List(21, 36), List(12, 37), List(0, 38), List(9, 39), List(36, 40), List(12, 41), List(37, 42), List(20, 43), List(31, 44), List(18, 45), List(27, 46), List(10, 47), List(9, 48), List(12, 49), List(41, 50), List(37, 51), List(0, 52), List(47, 53), List(26, 54), List(30, 55), List(53, 56), List(37, 57), List(45, 58), List(10, 59), List(41, 60), List(0, 61), List(46, 62), List(19, 63), List(28, 64), List(61, 65), List(43, 66), List(42, 67), List(56, 68), List(28, 69), List(11, 70), List(37, 71), List(50, 72), List(16, 73), List(19, 74), List(32, 75), List(40, 76), List(68, 77), List(63, 78), List(30, 79), List(77, 80), List(52, 81), List(33, 82), List(14, 83), List(76, 84), List(27, 85), List(80, 86), List(82, 87), List(36, 88), List(4, 89), List(14, 90), List(50, 91), List(64, 92), List(54, 93), List(41, 94), List(12, 95), List(27, 96), List(87, 97), List(61, 98), List(65, 99), List(7, 100), List(42, 101), List(47, 102), List(13, 103), List(78, 104), List(60, 105), List(58, 106), List(73, 107), List(64, 108), List(54, 109), List(83, 110), List(48, 111), List(30, 112), List(94, 113), List(30, 114), List(37, 115), List(47, 116), List(18, 117), List(19, 118), List(9, 119), List(39, 120), List(68, 121), List(5, 122), List(12, 123), List(19, 124), List(86, 125), List(26, 126), List(95, 127), List(62, 128), List(52, 129), List(104, 130), List(30, 131), List(40, 132), List(40, 133), List(15, 134), List(112, 135), List(78, 136), List(121, 137), List(107, 138), List(110, 139), List(76, 140), List(1, 141), List(126, 142), List(35, 143), List(30, 144), List(55, 145), List(44, 146), List(66, 147), List(131, 148), List(103, 149), List(31, 150), List(76, 151), List(136, 152), List(2, 153), List(2, 154), List(149, 155), List(17, 156), List(38, 157), List(107, 158), List(26, 159), List(41, 160), List(129, 161), List(14, 162), List(152, 163), List(22, 164), List(9, 165), List(72, 166), List(81, 167), List(38, 168), List(47, 169), List(131, 170), List(37, 171), List(33, 172), List(69, 173), List(98, 174), List(70, 175), List(54, 176), List(163, 177), List(69, 178), List(116, 179), List(120, 180), List(119, 181), List(0, 182), List(33, 183), List(154, 184), List(150, 185), List(185, 186), List(83, 187), List(23, 188), List(92, 189), List(116, 190), List(69, 191), List(13, 192), List(26, 193), List(65, 194), List(180, 195), List(109, 196), List(105, 197), List(123, 198), List(17, 199), List(52, 200), List(115, 201), List(106, 202), List(4, 203), List(147, 204), List(108, 205), List(85, 206), List(156, 207), List(16, 208), List(179, 209), List(180, 210), List(143, 211), List(5, 212), List(87, 213), List(17, 214), List(110, 215), List(214, 216), List(37, 217), List(213, 218), List(51, 219), List(92, 220), List(152, 221), List(39, 222), List(199, 223), List(159, 224), List(111, 225), List(119, 226), List(138, 227), List(120, 228), List(77, 229), List(5, 230), List(135, 231), List(50, 232), List(48, 233), List(206, 234), List(88, 235), List(75, 236), List(155, 237), List(179, 238), List(40, 239), List(112, 240), List(114, 241), List(147, 242), List(218, 243), List(60, 244), List(86, 245), List(108, 246), List(211, 247), List(23, 248), List(175, 249), List(14, 250), List(242, 251), List(178, 252), List(214, 253), List(15, 254), List(20, 255), List(204, 256), List(21, 257), List(238, 258), List(110, 259), List(189, 260), List(206, 261), List(1, 262), List(170, 263), List(42, 264), List(24, 265), List(97, 266), List(248, 267), List(128, 268), List(168, 269), List(140, 270), List(88, 271), List(182, 272), List(22, 273), List(118, 274), List(100, 275), List(44, 276), List(261, 277), List(42, 278), List(4, 279), List(222, 280), List(257, 281), List(91, 282), List(176, 283), List(279, 284), List(60, 285), List(48, 286), List(124, 287), List(103, 288), List(87, 289), List(208, 290), List(37, 291), List(198, 292), List(44, 293), List(103, 294), List(130, 295), List(209, 296), List(166, 297), List(293, 298), List(88, 299), List(61, 300), List(271, 301), List(83, 302), List(269, 303), List(222, 304), List(63, 305), List(255, 306), List(68, 307), List(228, 308), List(159, 309), List(244, 310), List(295, 311), List(210, 312), List(291, 313), List(241, 314), List(205, 315), List(162, 316), List(68, 317), List(115, 318), List(99, 319), List(192, 320), List(303, 321), List(303, 322), List(141, 323), List(193, 324), List(271, 325), List(141, 326), List(9, 327), List(221, 328), List(67, 329), List(65, 330), List(4, 331), List(139, 332), List(120, 333), List(244, 334), List(15, 335), List(26, 336), List(321, 337), List(319, 338), List(15, 339), List(336, 340), List(119, 341), List(50, 342), List(55, 343), List(5, 344), List(122, 345), List(184, 346), List(23, 347), List(110, 348), List(157, 349), List(147, 350), List(267, 351), List(42, 352), List(59, 353), List(176, 354), List(101, 355), List(112, 356), List(67, 357), List(217, 358), List(268, 359), List(152, 360), List(289, 361), List(335, 362), List(259, 363), List(183, 364), List(276, 365), List(318, 366), List(196, 367), List(267, 368), List(204, 369), List(247, 370), List(318, 371), List(243, 372), List(228, 373), List(39, 374), List(106, 375), List(157, 376), List(301, 377), List(345, 378), List(53, 379), List(262, 380), List(185, 381), List(193, 382), List(317, 383), List(342, 384), List(153, 385), List(336, 386), List(232, 387), List(385, 388), List(114, 389), List(277, 390), List(84, 391), List(113, 392), List(61, 393), List(69, 394), List(53, 395), List(127, 396), List(364, 397), List(16, 398), List(393, 399), List(329, 400), List(273, 401), List(88, 402), List(231, 403), List(107, 404), List(22, 405), List(183, 406), List(403, 407), List(47, 408), List(126, 409), List(389, 410), List(373, 411), List(78, 412), List(277, 413), List(309, 414), List(52, 415), List(143, 416), List(299, 417), List(240, 418), List(342, 419), List(283, 420), List(21, 421), List(274, 422), List(4, 423), List(225, 424), List(65, 425), List(306, 426), List(372, 427), List(136, 428), List(95, 429), List(96, 430), List(298, 431), List(260, 432), List(5, 433), List(300, 434), List(373, 435), List(77, 436), List(120, 437), List(377, 438), List(226, 439), List(253, 440), List(49, 441), List(326, 442), List(90, 443), List(375, 444), List(367, 445), List(389, 446), List(31, 447), List(293, 448), List(330, 449), List(323, 450), List(330, 451), List(333, 452), List(249, 453), List(312, 454), List(360, 455), List(321, 456), List(181, 457), List(74, 458), List(84, 459), List(243, 460), List(160, 461), List(108, 462), List(271, 463), List(390, 464), List(200, 465), List(295, 466), List(420, 467), List(110, 468), List(20, 469), List(136, 470), List(111, 471), List(254, 472), List(227, 473), List(127, 474), List(387, 475), List(332, 476), List(431, 477), List(202, 478), List(135, 479), List(384, 480), List(24, 481), List(285, 482), List(436, 483), List(67, 484), List(240, 485), List(217, 486), List(4, 487), List(9, 488), List(175, 489), List(264, 490), List(300, 491), List(92, 492), List(133, 493), List(118, 494), List(137, 495), List(37, 496), List(155, 497), List(416, 498), List(459, 499), List(95, 500), List(140, 501), List(495, 502), List(140, 503), List(278, 504), List(253, 505), List(197, 506), List(263, 507), List(40, 508), List(200, 509), List(286, 510), List(393, 511), List(264, 512), List(423, 513), List(432, 514), List(178, 515), List(338, 516), List(412, 517), List(434, 518), List(310, 519), List(198, 520), List(312, 521), List(184, 522), List(226, 523), List(459, 524), List(217, 525), List(35, 526), List(232, 527), List(319, 528), List(505, 529), List(420, 530), List(378, 531), List(352, 532), List(307, 533), List(336, 534), List(404, 535), List(208, 536), List(62, 537), List(204, 538), List(47, 539), List(252, 540), List(145, 541), List(255, 542), List(39, 543), List(100, 544), List(485, 545), List(353, 546), List(378, 547), List(370, 548), List(431, 549), List(510, 550), List(40, 551), List(179, 552), List(81, 553), List(142, 554), List(229, 555), List(347, 556), List(405, 557), List(415, 558), List(495, 559), List(293, 560), List(315, 561), List(219, 562), List(192, 563), List(486, 564), List(62, 565), List(212, 566), List(271, 567), List(444, 568), List(62, 569), List(172, 570), List(294, 571), List(468, 572), List(448, 573), List(409, 574), List(481, 575), List(142, 576), List(241, 577), List(288, 578), List(407, 579), List(4, 580), List(217, 581), List(482, 582), List(45, 583), List(51, 584), List(24, 585), List(45, 586), List(442, 587), List(77, 588), List(581, 589), List(136, 590), List(551, 591), List(308, 592), List(63, 593), List(318, 594), List(327, 595), List(220, 596), List(141, 597), List(592, 598), List(569, 599), List(493, 600), List(349, 601), List(62, 602), List(543, 603), List(249, 604), List(430, 605), List(531, 606), List(394, 607), List(426, 608), List(582, 609), List(236, 610), List(524, 611), List(55, 612), List(444, 613), List(450, 614), List(55, 615), List(419, 616), List(51, 617), List(54, 618), List(127, 619), List(126, 620), List(32, 621), List(210, 622), List(299, 623), List(55, 624), List(268, 625), List(338, 626), List(96, 627), List(610, 628), List(495, 629), List(142, 630), List(199, 631), List(302, 632), List(287, 633), List(100, 634), List(397, 635), List(299, 636), List(581, 637), List(331, 638), List(109, 639), List(522, 640))), 234069)
+  }
+
+  test("test6") {
+    assertEquals(Main.minimumScore(List(31383083, 128155815, 99716204, 14937164, 63921681, 29774826, 85301240, 85091546, 110243676, 119889842, 48519018, 42591607, 110814706, 106600723, 21892947, 66933745, 106207947, 107920492, 128205532, 107156428, 23418455, 32859407, 104901648, 79827161, 75085070, 60480602, 79389530, 24594960, 32913926, 85270116, 4728028, 115582406, 132234974, 120285318, 60101847, 20466897, 45440014, 102890699, 52660682, 89862894, 124599371, 108602607, 74388071, 109830789, 41521919, 94472716, 114776205, 133641091, 85045262, 99579865, 111665210, 47307951, 107726656, 62009378, 24745032, 55415475, 29615915, 71573990, 31488193, 83000414, 122407088, 119194922, 46128246, 7466688, 53983141, 43905579, 29618749, 93299663, 26971007, 25019245, 130819461, 27987750, 79833234, 30728745, 91804531, 125060465, 130731251, 130988484, 60136513, 121574449, 15584908, 46968326, 22901961, 79397781, 50651398, 11988285, 24106751, 49555279, 39386856, 115337461, 106846977, 26075003, 111661328, 99589582, 107777406, 69504914, 101194965, 48387766, 14309898, 29522148, 106971429, 121710753, 59987355, 124070145, 21349406, 33453388, 50106465, 74586356, 117817491, 34958387, 86916940, 86303476, 114560543, 43080660, 64130034, 9201862, 36445740, 97358364, 18710700, 98932946, 117953533, 85682132, 58928541, 30568764, 86807906, 64584629, 34544942, 86495450, 11028065, 128077287, 5612055, 45380495, 67053900, 55910020, 542593, 64364014, 64749686, 23749791, 130647405, 86887723, 26539412, 103658478, 29180714, 79001631, 119801948, 120796631, 80314856, 52482192, 37453083, 85502781, 44897118, 32196006, 50234094, 132955328, 105137671, 117270017, 37780565, 44645698, 50178838, 74415502, 22379324, 121610675, 2785964, 21461806, 38606406, 89252835, 87046099, 116922207, 2703003, 51248387, 37335292, 34113694, 107954871, 3554130, 19636091, 40073635, 88370979, 55591782, 117136535, 89436615, 130529550, 116066664, 63837150, 105568857, 70391229, 125459316, 108781443, 9891267, 37838914, 96559281, 100339141, 33061510, 23233816, 12294256, 122047089, 5802289, 91926574, 40493151, 95450355, 100011913, 24672280, 91107893, 71283625, 66902560, 86776671, 2007351, 87113257, 6327118, 47455345, 11719017, 69487377, 80730386, 75278339, 78460950, 39569283, 31673763, 24900156, 73685241, 14858964, 21893279, 31868260, 84896099, 124448512, 30340989, 73961132, 112891770, 21436414, 98906521, 48775851, 129053024, 8809451, 64453176, 62236392, 19630658, 80224291, 13893782, 9115766, 91964191, 10834157, 8726037, 83677584, 69277389, 130107025, 59046126, 67818904, 39727788, 1765995, 48604925, 54331749, 56726830, 6854045, 126660996, 39077283, 21699486, 29467658, 101435892, 111808131, 38834317, 65715018, 86360819, 18356504, 71107961, 71434509, 13362955, 131050588, 59094226, 127865262, 24041814, 47299016, 261965, 54280373, 116324229, 39689374, 108401155, 87220490, 118909758, 28523661, 11996002, 19126050, 28782047, 66846611, 119139567, 95596053, 1371387, 57659629, 92458203, 62141634, 40030635, 55979210, 28384273, 60943035, 132898506, 129181736, 78131251, 69734296, 109062631, 129928384, 66836554, 2473045, 21400950, 66791126, 124793120, 45752520, 120915546, 25952864, 71901575, 82717452, 93767150, 133601536, 64196763, 11564777, 60548991, 40939905, 58454271, 84816675, 129211890, 61849771, 117395905, 80424118, 62903533, 63896931, 50307518, 63587450, 15859360, 39126820, 89227409, 77119747, 66884798, 107040735, 67070854, 474468, 130101465, 81420213, 29986239, 23925279, 33024196, 8653203, 128202583, 83334651, 34737832, 104832253, 43241299, 54809115, 39631077, 19730701, 46585935, 68568957, 21409563, 92021781, 45313433, 80202105, 40803621, 60143875, 123390634, 107467052, 78835672, 11816245, 33125043, 10469411, 3096472, 26805963, 56795209, 55055977, 69001068, 28398073, 36137000, 55660049, 87113924, 116234482, 133765508, 50403989, 129801793, 44031927, 20850639, 133919481, 72715031, 77443997, 42235313, 90838147, 56562423, 102169095, 38762572, 88115885, 19236920, 55610975, 75585748, 88268361, 72208076, 56111588, 10209853, 43511780, 120296647, 54250667, 56626510, 5056125, 40753182, 23055884, 29513073, 27635218, 88373906, 82441163, 99642533, 28635250, 47490058, 94839446, 62067181, 59624441, 24243521, 44302635, 900285, 86757262, 128146378, 15923974, 104394956, 24335829, 92305584, 96544064, 42694187, 7270886, 84439460, 19892750, 52746643, 121476771, 74513751, 76362441, 59338475, 65442733, 66541435, 29418902, 79469325, 77434555, 18277937, 32363871, 31273616, 96064120, 44983058, 33120045, 76469269, 85339852, 36001865, 39982840, 31285022, 41463939, 88637875, 90625883, 96661572, 71605490, 109431072, 59345475, 14819393, 1226036, 79333658, 69295835, 90259399, 56569637, 113690279, 79020937, 64705133, 34207149, 86733738, 57022422, 89753481, 38099757, 62825990, 52543681, 74121732, 26334810, 23659090, 26697392, 62605332, 31818783, 32747859, 107165832, 30719783, 900791, 72869283, 53121073, 32891900, 24422888, 39314979, 10713218, 94612139, 86917360, 49180783, 21164253, 73043038, 95388493, 34099292, 66411658, 843263, 70740869, 45174069, 33405376, 24611446, 8364350, 94394781, 32938312, 66107984, 84701229, 4381903, 66099098, 105343212, 105813261, 35568980, 10508222, 130738750, 26239558, 5469926, 24459729, 59579629, 30045724, 97903384, 70109824, 43191511, 41541241, 36227207, 30541970, 62387511, 10154480, 7544714, 30977907, 59817938, 67731616, 115518820, 91803105, 61219420, 94494190, 43075430, 63515000, 50873154, 4718935, 44286468, 23495378, 56389186, 96507626, 72518425, 75198758, 38343687, 42105727, 67123286, 15495313, 59823833, 93169388, 63999666, 35052491, 12788999, 56730131, 95474631, 117094386, 13528738, 44304635, 16260266, 838997, 85612951, 71465405, 50776724, 5345758, 29831578, 47778322, 4442516, 74143731, 54037171, 111904221, 69852451, 89051389, 1382704, 74290115, 45511012, 29012976, 101830086, 3383520, 35866557, 132256233, 122804266, 43997233, 6885747, 89689394, 73244442, 74788434, 17509912, 1031634, 84168908, 6414962, 72436651, 46386829, 80655198, 54101925, 6775529, 28812053, 76369512, 35643169, 786632, 60684554, 35183118, 36182461, 20750556, 46351136, 96821919, 46650077, 109734053, 69442729, 59617758, 47742023, 118240266, 63862095, 46947476, 118125511, 89009917, 69248594, 107309968, 21428108, 13747381, 41498126, 34001399, 65087487, 22753169, 41573217, 90652612, 63402278, 121092365, 49993344, 93664935, 14997856, 84343358, 132548029, 53304868, 83995035, 38162569, 17566370, 10646396, 45495109, 4616953, 69858498, 85692601, 14017895, 68005584, 97378027, 122166707, 51382033, 31758385, 133757040, 31870954, 1866397, 133755147, 51906754, 42159681, 76453277, 72451942, 90253097, 84428226, 75883643, 1183217, 94936513, 18786873, 58318841, 26319855, 31269347, 9765683, 31414303, 95170384, 50313330, 116335451, 33697629, 74632584, 10005081, 74816765, 53182316, 94495873, 41647945, 7988440, 33960548, 72948994, 99011206, 2570651, 62406019, 60053332, 59624769, 125538591, 33837021, 58689346, 48063091, 29733545, 42517660, 60797806, 75029739, 98909374, 23216324, 14759123, 83646813, 7535925, 97800096, 89161646, 23010305, 69711318, 84409660, 18766908, 80716131, 120523425, 70700763, 40471300, 76159972, 49418144, 2606524, 13437898, 18067102, 86283069, 61499760, 14947568, 67414905, 114935529, 36814985, 36393832, 95687049, 65947268, 61782553, 95400842, 98479433, 71218212, 96440987, 95665544, 44065494, 866722, 16764311, 33379586, 42050241, 36921906, 25298274, 78053867, 26614808, 26200146, 44209024, 3454551, 58763448, 5571073, 67453581, 6559573, 594856, 31469505, 68634852, 19965003, 63140902, 52782689, 42646369, 72242739, 83021741, 109796799, 25157272, 48798590, 73789796, 14238922, 98119340, 16756829, 41729171, 38356998, 88945389, 84168709, 23514361, 34820820, 77121992, 44081836, 90322062, 30832714, 88163246, 58916, 6081196, 93959312, 49371665, 752573, 96759093, 50093689, 12442655, 73629205, 47532394, 99424338, 80463606, 73527541, 96879393, 84383224, 32807265, 54635336, 63366489, 65141135, 34727973, 81888061, 26369885, 54648430, 34471832, 27940188, 12965494, 98332695, 99850536, 41762868, 95073492, 82090304, 61723358, 97263748, 40273425, 98704532, 80307762, 80692328, 26337120, 8755915, 86325404, 3515279, 95919411, 94867381, 96116786, 45692405, 41100070, 72030323, 9209957, 49103172, 34557337, 31973156, 47348736, 92741111, 87151303, 53463533, 81317505, 49909546, 49890455, 7541447, 92402277, 19528159, 71230916, 41640155, 74443496, 81668111, 67505371, 83311807, 37031912, 17515039, 32946568, 48084444, 36096203, 19343324, 36815804, 55419971, 1726427, 69833074, 27037929, 87447011, 52009931, 53803011, 28703929, 40685075, 2366579, 455354, 12106936, 131213796, 51411195, 6436821, 33444422, 18389599, 14813884, 149707, 85939373, 77749634, 76258737, 35733859, 64314279, 21682649, 17684323, 39444908, 15463382, 82506465, 70646350, 94878281, 50338602, 99122075, 42470411, 80097873, 67288672, 51116489, 68160446, 41751589, 60932810, 70922888, 10933514, 43298394, 17769590, 25894366, 72369708, 1712360, 104851756, 33112940, 14288248, 23486868, 9978355, 70512409, 29927854, 57522083, 14499555, 32647589, 29988661, 59044791, 1059171, 45949107, 44458568, 39319306, 27610430, 101672989, 85274980, 26394406, 54191026, 37855346, 15150429, 69992221, 14353208, 4880104, 60781231, 84308377, 38893457, 47086511, 84017361, 60881054, 96356989, 26522340, 8040354, 19027888, 16215256, 55425042, 60060356, 41029014, 81777301, 94650575, 36927985, 57430526, 14723365, 6441347, 66754188, 9862285, 21933028, 7572338, 66357707, 29513465, 18769779, 49275600, 40008557, 85180798, 46750910, 55749445, 87872037, 87812955, 49009409, 46095735, 64732403, 2024826, 67338944, 83504592, 67979605, 52891208, 85906577, 8274317, 48347640, 47753471, 10617604, 76111084),List(List(0, 1), List(0, 2), List(0, 3), List(1, 4), List(3, 5), List(0, 6), List(6, 7), List(4, 8), List(1, 9), List(7, 10), List(8, 11), List(6, 12), List(12, 13), List(6, 14), List(6, 15), List(2, 16), List(14, 17), List(3, 18), List(5, 19), List(3, 20), List(10, 21), List(18, 22), List(18, 23), List(7, 24), List(18, 25), List(23, 26), List(8, 27), List(8, 28), List(1, 29), List(15, 30), List(7, 31), List(26, 32), List(18, 33), List(3, 34), List(24, 35), List(33, 36), List(19, 37), List(3, 38), List(6, 39), List(35, 40), List(38, 41), List(1, 42), List(42, 43), List(1, 44), List(35, 45), List(8, 46), List(32, 47), List(27, 48), List(40, 49), List(39, 50), List(9, 51), List(49, 52), List(25, 53), List(28, 54), List(8, 55), List(13, 56), List(30, 57), List(22, 58), List(19, 59), List(14, 60), List(27, 61), List(44, 62), List(57, 63), List(29, 64), List(21, 65), List(49, 66), List(4, 67), List(38, 68), List(14, 69), List(30, 70), List(7, 71), List(55, 72), List(0, 73), List(25, 74), List(69, 75), List(36, 76), List(0, 77), List(51, 78), List(56, 79), List(40, 80), List(5, 81), List(1, 82), List(50, 83), List(43, 84), List(68, 85), List(49, 86), List(42, 87), List(15, 88), List(75, 89), List(47, 90), List(17, 91), List(44, 92), List(30, 93), List(67, 94), List(12, 95), List(65, 96), List(47, 97), List(89, 98), List(38, 99), List(81, 100), List(40, 101), List(41, 102), List(85, 103), List(33, 104), List(38, 105), List(13, 106), List(76, 107), List(84, 108), List(70, 109), List(59, 110), List(9, 111), List(60, 112), List(92, 113), List(10, 114), List(90, 115), List(57, 116), List(22, 117), List(71, 118), List(38, 119), List(25, 120), List(13, 121), List(44, 122), List(60, 123), List(83, 124), List(55, 125), List(96, 126), List(7, 127), List(40, 128), List(56, 129), List(80, 130), List(2, 131), List(77, 132), List(120, 133), List(129, 134), List(75, 135), List(62, 136), List(68, 137), List(134, 138), List(83, 139), List(82, 140), List(81, 141), List(53, 142), List(69, 143), List(115, 144), List(24, 145), List(113, 146), List(18, 147), List(107, 148), List(94, 149), List(64, 150), List(23, 151), List(45, 152), List(105, 153), List(62, 154), List(153, 155), List(62, 156), List(129, 157), List(23, 158), List(38, 159), List(45, 160), List(124, 161), List(59, 162), List(62, 163), List(89, 164), List(28, 165), List(155, 166), List(131, 167), List(69, 168), List(168, 169), List(110, 170), List(168, 171), List(144, 172), List(148, 173), List(139, 174), List(75, 175), List(111, 176), List(158, 177), List(27, 178), List(137, 179), List(101, 180), List(17, 181), List(169, 182), List(61, 183), List(89, 184), List(100, 185), List(85, 186), List(124, 187), List(2, 188), List(165, 189), List(155, 190), List(171, 191), List(128, 192), List(160, 193), List(91, 194), List(26, 195), List(102, 196), List(93, 197), List(138, 198), List(5, 199), List(174, 200), List(70, 201), List(107, 202), List(103, 203), List(151, 204), List(200, 205), List(4, 206), List(182, 207), List(175, 208), List(31, 209), List(3, 210), List(18, 211), List(96, 212), List(41, 213), List(60, 214), List(22, 215), List(101, 216), List(86, 217), List(105, 218), List(100, 219), List(69, 220), List(195, 221), List(207, 222), List(181, 223), List(45, 224), List(149, 225), List(14, 226), List(89, 227), List(15, 228), List(36, 229), List(91, 230), List(170, 231), List(119, 232), List(125, 233), List(134, 234), List(19, 235), List(102, 236), List(185, 237), List(135, 238), List(211, 239), List(111, 240), List(205, 241), List(89, 242), List(181, 243), List(153, 244), List(0, 245), List(45, 246), List(98, 247), List(207, 248), List(180, 249), List(124, 250), List(167, 251), List(159, 252), List(86, 253), List(186, 254), List(186, 255), List(108, 256), List(138, 257), List(137, 258), List(222, 259), List(200, 260), List(210, 261), List(254, 262), List(47, 263), List(185, 264), List(215, 265), List(206, 266), List(232, 267), List(149, 268), List(106, 269), List(115, 270), List(134, 271), List(104, 272), List(204, 273), List(173, 274), List(272, 275), List(194, 276), List(264, 277), List(42, 278), List(198, 279), List(60, 280), List(119, 281), List(119, 282), List(141, 283), List(155, 284), List(271, 285), List(233, 286), List(161, 287), List(204, 288), List(7, 289), List(58, 290), List(5, 291), List(225, 292), List(279, 293), List(230, 294), List(109, 295), List(255, 296), List(258, 297), List(115, 298), List(99, 299), List(98, 300), List(111, 301), List(152, 302), List(141, 303), List(253, 304), List(242, 305), List(174, 306), List(71, 307), List(100, 308), List(209, 309), List(56, 310), List(242, 311), List(279, 312), List(214, 313), List(159, 314), List(308, 315), List(126, 316), List(104, 317), List(79, 318), List(35, 319), List(157, 320), List(297, 321), List(266, 322), List(90, 323), List(103, 324), List(263, 325), List(42, 326), List(313, 327), List(157, 328), List(225, 329), List(10, 330), List(224, 331), List(291, 332), List(125, 333), List(161, 334), List(192, 335), List(5, 336), List(103, 337), List(179, 338), List(85, 339), List(308, 340), List(224, 341), List(206, 342), List(3, 343), List(247, 344), List(171, 345), List(71, 346), List(161, 347), List(128, 348), List(177, 349), List(318, 350), List(329, 351), List(106, 352), List(263, 353), List(217, 354), List(273, 355), List(202, 356), List(67, 357), List(341, 358), List(90, 359), List(35, 360), List(46, 361), List(144, 362), List(179, 363), List(19, 364), List(155, 365), List(52, 366), List(261, 367), List(275, 368), List(258, 369), List(327, 370), List(176, 371), List(258, 372), List(300, 373), List(245, 374), List(191, 375), List(197, 376), List(128, 377), List(101, 378), List(364, 379), List(178, 380), List(222, 381), List(4, 382), List(133, 383), List(145, 384), List(367, 385), List(153, 386), List(102, 387), List(327, 388), List(101, 389), List(366, 390), List(159, 391), List(312, 392), List(238, 393), List(306, 394), List(86, 395), List(339, 396), List(304, 397), List(21, 398), List(151, 399), List(218, 400), List(186, 401), List(190, 402), List(220, 403), List(145, 404), List(262, 405), List(79, 406), List(74, 407), List(323, 408), List(95, 409), List(357, 410), List(190, 411), List(318, 412), List(281, 413), List(67, 414), List(40, 415), List(405, 416), List(168, 417), List(396, 418), List(155, 419), List(175, 420), List(327, 421), List(105, 422), List(351, 423), List(292, 424), List(402, 425), List(168, 426), List(176, 427), List(226, 428), List(202, 429), List(155, 430), List(105, 431), List(427, 432), List(319, 433), List(214, 434), List(123, 435), List(51, 436), List(104, 437), List(307, 438), List(437, 439), List(422, 440), List(332, 441), List(330, 442), List(180, 443), List(270, 444), List(270, 445), List(83, 446), List(112, 447), List(34, 448), List(199, 449), List(379, 450), List(156, 451), List(83, 452), List(413, 453), List(354, 454), List(331, 455), List(199, 456), List(101, 457), List(177, 458), List(56, 459), List(370, 460), List(400, 461), List(361, 462), List(166, 463), List(295, 464), List(31, 465), List(450, 466), List(228, 467), List(368, 468), List(130, 469), List(127, 470), List(98, 471), List(10, 472), List(289, 473), List(402, 474), List(199, 475), List(138, 476), List(21, 477), List(174, 478), List(454, 479), List(231, 480), List(248, 481), List(378, 482), List(251, 483), List(124, 484), List(68, 485), List(237, 486), List(82, 487), List(16, 488), List(48, 489), List(195, 490), List(260, 491), List(107, 492), List(419, 493), List(97, 494), List(143, 495), List(56, 496), List(435, 497), List(354, 498), List(493, 499), List(317, 500), List(161, 501), List(262, 502), List(158, 503), List(111, 504), List(350, 505), List(6, 506), List(172, 507), List(357, 508), List(425, 509), List(162, 510), List(366, 511), List(214, 512), List(310, 513), List(53, 514), List(292, 515), List(468, 516), List(315, 517), List(396, 518), List(485, 519), List(478, 520), List(243, 521), List(90, 522), List(291, 523), List(513, 524), List(369, 525), List(351, 526), List(517, 527), List(371, 528), List(243, 529), List(481, 530), List(100, 531), List(390, 532), List(402, 533), List(239, 534), List(246, 535), List(183, 536), List(194, 537), List(428, 538), List(405, 539), List(422, 540), List(54, 541), List(197, 542), List(235, 543), List(331, 544), List(128, 545), List(458, 546), List(430, 547), List(540, 548), List(212, 549), List(292, 550), List(253, 551), List(155, 552), List(113, 553), List(501, 554), List(129, 555), List(268, 556), List(280, 557), List(302, 558), List(491, 559), List(129, 560), List(540, 561), List(131, 562), List(239, 563), List(482, 564), List(12, 565), List(368, 566), List(532, 567), List(75, 568), List(217, 569), List(201, 570), List(329, 571), List(251, 572), List(197, 573), List(101, 574), List(351, 575), List(29, 576), List(45, 577), List(387, 578), List(41, 579), List(126, 580), List(453, 581), List(312, 582), List(340, 583), List(324, 584), List(470, 585), List(393, 586), List(226, 587), List(358, 588), List(246, 589), List(229, 590), List(135, 591), List(431, 592), List(161, 593), List(419, 594), List(530, 595), List(523, 596), List(428, 597), List(379, 598), List(87, 599), List(174, 600), List(569, 601), List(374, 602), List(10, 603), List(345, 604), List(67, 605), List(472, 606), List(102, 607), List(524, 608), List(572, 609), List(503, 610), List(609, 611), List(347, 612), List(603, 613), List(150, 614), List(75, 615), List(99, 616), List(348, 617), List(519, 618), List(573, 619), List(411, 620), List(264, 621), List(567, 622), List(353, 623), List(166, 624), List(271, 625), List(240, 626), List(304, 627), List(223, 628), List(228, 629), List(455, 630), List(157, 631), List(56, 632), List(5, 633), List(78, 634), List(382, 635), List(86, 636), List(227, 637), List(516, 638), List(336, 639), List(283, 640), List(130, 641), List(269, 642), List(35, 643), List(636, 644), List(390, 645), List(456, 646), List(193, 647), List(256, 648), List(258, 649), List(62, 650), List(515, 651), List(199, 652), List(555, 653), List(150, 654), List(512, 655), List(311, 656), List(83, 657), List(354, 658), List(379, 659), List(307, 660), List(137, 661), List(161, 662), List(318, 663), List(168, 664), List(452, 665), List(138, 666), List(410, 667), List(307, 668), List(564, 669), List(401, 670), List(165, 671), List(128, 672), List(80, 673), List(200, 674), List(603, 675), List(1, 676), List(52, 677), List(328, 678), List(270, 679), List(484, 680), List(513, 681), List(5, 682), List(248, 683), List(10, 684), List(354, 685), List(98, 686), List(18, 687), List(295, 688), List(260, 689), List(437, 690), List(419, 691), List(573, 692), List(588, 693), List(160, 694), List(571, 695), List(527, 696), List(662, 697), List(610, 698), List(239, 699), List(326, 700), List(437, 701), List(507, 702), List(133, 703), List(351, 704), List(429, 705), List(409, 706), List(291, 707), List(380, 708), List(325, 709), List(555, 710), List(157, 711), List(435, 712), List(624, 713), List(209, 714), List(172, 715), List(6, 716), List(687, 717), List(681, 718), List(192, 719), List(666, 720), List(664, 721), List(598, 722), List(409, 723), List(351, 724), List(133, 725), List(122, 726), List(607, 727), List(424, 728), List(658, 729), List(677, 730), List(226, 731), List(637, 732), List(569, 733), List(3, 734), List(244, 735), List(263, 736), List(516, 737), List(626, 738), List(570, 739), List(64, 740), List(562, 741), List(299, 742), List(653, 743), List(636, 744), List(24, 745), List(275, 746), List(709, 747), List(427, 748), List(668, 749), List(279, 750), List(150, 751), List(112, 752), List(301, 753), List(308, 754), List(447, 755), List(692, 756), List(45, 757), List(697, 758), List(153, 759), List(661, 760), List(99, 761), List(715, 762), List(720, 763), List(115, 764), List(337, 765), List(144, 766), List(211, 767), List(502, 768), List(632, 769), List(119, 770), List(663, 771), List(238, 772), List(766, 773), List(635, 774), List(241, 775), List(83, 776), List(18, 777), List(713, 778), List(685, 779), List(102, 780), List(200, 781), List(321, 782), List(640, 783), List(428, 784), List(401, 785), List(428, 786), List(388, 787), List(744, 788), List(268, 789), List(606, 790), List(592, 791), List(160, 792), List(93, 793), List(138, 794), List(303, 795), List(745, 796), List(30, 797), List(385, 798), List(467, 799), List(292, 800), List(46, 801), List(212, 802), List(199, 803), List(653, 804), List(489, 805), List(609, 806), List(685, 807), List(391, 808), List(110, 809), List(509, 810), List(586, 811), List(156, 812), List(24, 813), List(177, 814), List(767, 815), List(505, 816), List(324, 817), List(283, 818), List(59, 819), List(41, 820), List(453, 821), List(38, 822), List(360, 823), List(696, 824), List(335, 825), List(424, 826), List(607, 827), List(640, 828), List(603, 829), List(612, 830), List(89, 831), List(414, 832), List(0, 833), List(548, 834), List(429, 835), List(152, 836), List(91, 837), List(641, 838), List(119, 839), List(115, 840), List(74, 841), List(299, 842), List(619, 843), List(449, 844), List(513, 845), List(247, 846), List(620, 847), List(248, 848), List(527, 849), List(447, 850), List(35, 851), List(613, 852), List(92, 853), List(195, 854), List(131, 855), List(27, 856), List(346, 857), List(551, 858), List(155, 859), List(699, 860), List(540, 861), List(319, 862), List(811, 863), List(819, 864), List(766, 865), List(717, 866), List(411, 867), List(753, 868), List(302, 869), List(632, 870), List(427, 871), List(165, 872), List(57, 873), List(301, 874), List(154, 875), List(299, 876), List(836, 877), List(179, 878), List(668, 879), List(317, 880), List(741, 881), List(635, 882), List(581, 883), List(600, 884), List(118, 885), List(485, 886), List(506, 887), List(245, 888), List(134, 889), List(326, 890), List(356, 891), List(871, 892), List(155, 893), List(830, 894), List(296, 895), List(230, 896), List(822, 897), List(888, 898), List(474, 899), List(455, 900), List(31, 901), List(849, 902), List(120, 903), List(76, 904), List(37, 905), List(295, 906), List(17, 907), List(850, 908), List(405, 909), List(11, 910), List(452, 911), List(383, 912), List(543, 913), List(662, 914), List(497, 915), List(901, 916), List(591, 917), List(185, 918), List(872, 919), List(745, 920), List(599, 921), List(15, 922), List(878, 923), List(773, 924), List(836, 925), List(622, 926), List(35, 927), List(132, 928), List(759, 929), List(227, 930), List(335, 931), List(542, 932), List(512, 933), List(880, 934), List(71, 935), List(342, 936), List(644, 937), List(614, 938), List(884, 939), List(739, 940), List(260, 941), List(556, 942), List(911, 943), List(491, 944), List(174, 945), List(1, 946), List(443, 947), List(271, 948), List(822, 949), List(743, 950), List(640, 951), List(268, 952), List(320, 953), List(86, 954), List(643, 955), List(233, 956), List(512, 957))), 98035)
+  }
+
+  test("test7") {
+    assertEquals(Main.minimumScore(List(24763587, 68523316, 91206373, 4757113, 96848378, 122686468, 29078021, 123120374, 36707385, 44298040, 24395466, 6969109, 77043327, 30947586, 12935443, 97021143, 65441135, 93468636, 108391397, 43121251, 17347336, 24382174, 90328540, 52919796, 34334913, 8790335, 15107576, 29594561, 90924942, 30291156, 89057016, 60086558, 99915741, 12402170, 16816047, 75347979, 12517199, 57743839, 21451565, 71371078, 36070432, 53889527, 63982313, 98181825, 97757880, 33170516, 90277332, 3867742, 28412226, 42269624, 115700849, 100498693, 57258458, 22351119, 77201040, 25478245, 81405975, 62519162, 61638546, 78958442, 80920854, 133107359, 4055067, 61687078, 10300986, 5311793, 72049040, 19017219, 114817754, 75180376, 78155102, 23551748, 23545608, 132349314, 91893219, 79474728, 6479811, 35775928, 68336371, 49857447, 29240696, 81621618, 38237991, 91075655, 37416701, 14429989, 4861909, 30359259, 52163121),List(List(0, 1), List(0, 2), List(2, 3), List(1, 4), List(1, 5), List(2, 6), List(1, 7), List(2, 8), List(7, 9), List(5, 10), List(4, 11), List(9, 12), List(10, 13), List(7, 14), List(11, 15), List(2, 16), List(8, 17), List(2, 18), List(8, 19), List(4, 20), List(2, 21), List(15, 22), List(9, 23), List(2, 24), List(23, 25), List(16, 26), List(3, 27), List(6, 28), List(11, 29), List(27, 30), List(21, 31), List(16, 32), List(26, 33), List(27, 34), List(31, 35), List(6, 36), List(18, 37), List(27, 38), List(26, 39), List(34, 40), List(14, 41), List(12, 42), List(1, 43), List(8, 44), List(39, 45), List(9, 46), List(32, 47), List(36, 48), List(37, 49), List(16, 50), List(3, 51), List(15, 52), List(13, 53), List(35, 54), List(17, 55), List(50, 56), List(29, 57), List(20, 58), List(46, 59), List(5, 60), List(47, 61), List(4, 62), List(62, 63), List(51, 64), List(16, 65), List(12, 66), List(31, 67), List(49, 68), List(68, 69), List(9, 70), List(27, 71), List(50, 72), List(18, 73), List(29, 74), List(47, 75), List(44, 76), List(31, 77), List(11, 78), List(34, 79), List(60, 80), List(73, 81), List(72, 82), List(29, 83), List(61, 84), List(29, 85), List(0, 86), List(49, 87), List(55, 88))), 384505)
+  }
+
+  test("test8") {
+    assertEquals(Main.minimumScore(List(82922534, 21660980, 107678623, 25815487, 29365088, 123298916, 51607730, 9053305, 109074449, 117513310, 70489348, 34910396, 52546539, 107896088, 39705099, 37938900, 76402842, 52190433, 51398219, 33922591, 115371296, 49539407, 39613735, 123622001, 58259627, 75061609, 28550389, 49171576, 81138432, 44321684, 10150774, 58529165, 4580803, 58488852, 68694810, 44983996, 108682827, 20939822, 125795496, 90680907, 38952096, 105444042, 56348823, 79814835, 88129160, 18660602, 4522985, 131469555, 52432439, 120186452, 89638040, 72747273, 93249379, 35874848, 24321822, 60811891, 94304776, 18353285, 34252586, 124741554, 69009626, 112873176, 132917437, 89920757, 50525858, 118348530, 83269666, 943029, 119825824, 91491808, 116226437, 132623077, 39010368, 3092046, 26399986, 128602283, 72455555, 14451660, 29887630, 28886834, 81039773, 39417120, 98688478, 61645231, 82330121, 30983280, 20896933, 95856144, 17049091, 113095421, 52539953, 70432179, 30004820, 84052511, 27667596, 85415496, 8145191, 4092239, 56682561, 48783466, 88279534, 39985135, 35299801, 21920684, 39031529, 91919116, 128128910, 101731579, 4774086, 104788297, 65231222, 41936011, 27367792, 70003538, 124274092, 97343820, 39845435, 60572970, 15568920, 10164878, 112478270, 96768003, 39836186, 122058221, 69190946, 101938975, 131393055, 121877646, 30204993, 9917808, 125167193, 31935129, 131804221, 110163798, 7629268, 31176654, 21050322, 106270725, 23236167, 72511145, 32791641, 91611622, 132792390, 95479393, 98659814, 70915241, 73158218, 63943120, 118566726, 67927314, 52957234, 120540444, 71220450, 7680249, 41312434, 81904878, 44746054, 95449085, 128282524, 18533630, 21106684, 125632207, 111884442, 41430479, 24594898, 87206571, 52572455, 96361457, 49001472, 15718007, 33303775, 27028935, 36426799, 11327421, 57348290, 53573092, 8433115, 74841176, 93333629, 8514019, 24816145, 35054955, 94695783, 17783599, 83179278, 113719083, 81068614, 121452514, 87894459, 7768197, 126422128, 74303769, 20017152, 125557603, 45299863, 120572729, 62330818, 72665995, 71090561, 89820384, 39495852, 104585997, 1093960, 59498443, 54856363, 124183733, 19854236, 25383051, 61001438, 78493857, 480156, 102941460, 22943715, 3521226, 54644644, 13209101, 28997655, 123841014, 126475506, 49963554, 99783252, 29664243, 49608733, 102073210, 123218894, 56494443, 115644496, 49679409, 128081847, 73554922, 7781196, 4683487, 72407303, 71148400, 16679426, 40221248, 41106516, 36805759, 92709446, 91431404, 107964466, 54485061, 83578826, 114471614, 39544536, 50482105, 91467644, 32092125, 15245942, 8991505, 50673574, 80674429, 13665471, 22549631, 54516177, 11145173, 46707504, 46047556, 12595591, 126201847, 16170492, 80432184, 120393899, 53534184, 15845681, 54764318, 54480404, 36466177, 88506951, 86607935, 94580280, 124824922, 43323740, 13909963, 74418007, 52758606, 1153674, 119705637, 81682209, 120097089, 4713458, 121318859, 5630099, 3204216, 93151983, 79508573, 70991836, 91162668, 3072865, 12880975, 26312289, 79178765, 130214609, 124309784, 54136890, 75521379, 7606922, 20330651, 23475070, 66874789, 47083831, 129588373, 53520949, 28040030, 52946082, 46379547, 35323738, 7099436, 12901949, 31164293, 105396978, 51854833, 133504824, 10457473, 111609949, 91528992, 67679226, 9655113, 125579577, 20754909, 83884803, 1040237, 48520387, 132083089, 3007838, 104423970, 31446655, 43193219, 73228150, 11230231, 65724036, 16736608, 100253566, 65286640, 94770636, 79076435, 58344336, 80193851, 6298350, 48123802, 21486117, 91007060, 119321404, 93654450, 71388666, 41072943, 40310759, 92278168, 93522771, 51611204, 43302926, 25363996, 41208337, 58756007, 41531165, 80757928, 30790008, 108295684, 71100660, 99739426, 32918747, 55185, 46216632, 83058995, 102872173, 62462202, 24895088, 76784168, 24866473, 9698373, 19814823, 55846593, 127902015, 17486866, 38527034, 27574715, 98879729, 64522849, 62508456, 27610827, 15704841, 106526273, 81007618, 42158290, 13158615, 86054297, 72169010, 91673818, 12302525, 94914907, 29781035, 51257603, 4289870, 83830592, 28126727, 14488027, 54698392, 416291, 53820675, 63380657, 11834590, 63173859, 34400369, 14248306, 56246264, 23719724, 12710501, 116902861, 31961592, 48222082, 46686156, 35860187, 58313370, 48410434, 28281253, 41744997, 64215277, 14396089, 27415239, 4735793, 79321369, 51177308, 72681286, 95721092, 42644707, 90463926, 4833686, 126694192, 20664638, 19863316, 8955372, 100975162, 24995528, 124978757, 25317772, 45244668, 23091323, 97918905, 98812822, 78624990, 75468659, 19719671, 62546402, 77919822, 93457190, 104401516, 83858938, 39854990, 56035998, 94398492, 107767438, 30600116, 50441617, 35494520, 100653242, 16191411, 60000916, 66011447, 75940704, 53294272, 54931550, 90968694, 87905086, 61528217, 21425105, 78373404, 36847717, 4018649, 4755127, 8551195, 67377934, 115856286, 51659898, 74079263, 61603541, 82484100, 47026077, 32722712, 66017877, 79733591, 44201328, 31397934, 54202569, 33444690, 127474708, 69322483, 53092876, 9807901, 109194485, 94252962, 51975844, 55854562, 105150640, 23237138, 53213150, 70252090, 40837794, 5437768, 10338339, 23021217, 97134555, 16004731, 62412766, 8910939, 35930726, 16821588, 116670006, 8269313, 62819535, 25519059, 6094870, 120749278, 88327167, 65051952, 35204971, 5132909, 79664254, 86640961, 3696302, 68451763, 51093156, 1012147, 17955252, 18449854, 56113547, 18558545, 15935161, 131910091, 96640737, 12194349, 96225876, 120055925, 118021546, 29789315, 81580975, 34920128, 76083356, 18627892, 26922542, 24651742, 5515340, 2243128, 44694388, 63937985, 5913377, 49259987, 57423683, 45735357, 74154888, 25508664, 124491439, 48932373, 76701587, 26728146, 22867720, 64100957, 99351914, 66803833, 84994939, 68672471, 44347130, 57772833, 81770412, 8446030, 79067328, 40200032, 93180338, 12143319, 40434634, 55803774, 11253009, 43958055, 100136282, 69728476, 120635442, 13835631, 3299284, 86950599, 64825088, 68176923, 2145394, 20951919, 62957601, 71327908, 63095961, 65541372, 54245550, 502742, 83014027, 42069447, 65166923, 21517594, 37560653, 51810810, 96332787, 14269197, 52960821, 88252258, 6616560, 4385960, 119323450, 64185862, 24110416, 22265761, 29794268, 80160568, 95486478, 28321012, 59856820, 9232438, 61094888, 128748720, 6851090, 71612276, 19415405, 10361329, 66905333, 20959744, 6296983, 84949798, 1925055, 56157211, 43210805, 73800884, 46407392, 8315346, 58420644, 23825347, 15429155, 28748756, 43500432, 49451765, 61513702, 70728969, 72404552, 9685149, 21981579, 55082709, 60798031, 29894133, 9510304, 97367026, 67069628, 22003955, 63512655, 32995337, 70799839, 101392961, 17205327, 3948213, 35579804, 49743838, 70827198, 38284658, 72074300, 33816986, 34705787, 88378215, 638909, 55935686, 66592079, 37083692, 88147569, 35012963, 87437363, 32534522, 16383933, 64973725, 25187571, 84260374, 42967962, 19730085, 81358013, 27300939, 69428416, 5580425, 38787582, 46386588, 33864966, 73692870, 73210985, 27894856, 64686868, 6273001, 89850426, 7457094, 9450378, 134076920, 4588560, 99266516, 54613067, 85841953, 33476849, 48446704, 34917016, 1779402, 50665552, 88057183, 10784292, 9448292, 67776015, 56507822, 58125035, 40181670, 92024347, 62629898, 4795137, 3490510, 29586183, 37163525, 56157156, 17443129, 86772669, 36935408, 37558659, 19045104, 22076528, 62024868, 54181028, 78388485, 21807880, 97728627, 70151312, 89304252, 94665007, 3605549, 108401645, 52255607, 43893886, 30920721, 79884654, 87234470, 16017835, 52672237, 93839686, 84158239, 84896749, 36657483, 84272798, 83495007, 94562791, 80403488, 53863223, 73740700, 92326461, 81741273, 59762720, 64838999, 18325110, 68054977, 38046745, 4831228, 22160961, 2871567, 47567120, 93027783, 57684089, 669896, 45808521, 66227831, 14819412, 52021926, 97264814, 14631551, 76217761, 40888081, 61078999, 15946403, 89827163, 50857117, 73355337),List(List(0, 1), List(0, 2), List(2, 3), List(2, 4), List(0, 5), List(1, 6), List(6, 7), List(6, 8), List(7, 9), List(1, 10), List(3, 11), List(8, 12), List(0, 13), List(1, 14), List(7, 15), List(13, 16), List(15, 17), List(4, 18), List(15, 19), List(17, 20), List(20, 21), List(7, 22), List(16, 23), List(2, 24), List(7, 25), List(8, 26), List(17, 27), List(12, 28), List(9, 29), List(16, 30), List(26, 31), List(23, 32), List(29, 33), List(29, 34), List(12, 35), List(7, 36), List(3, 37), List(11, 38), List(27, 39), List(21, 40), List(17, 41), List(23, 42), List(4, 43), List(35, 44), List(8, 45), List(5, 46), List(24, 47), List(15, 48), List(16, 49), List(45, 50), List(45, 51), List(9, 52), List(25, 53), List(42, 54), List(25, 55), List(34, 56), List(27, 57), List(0, 58), List(19, 59), List(25, 60), List(4, 61), List(8, 62), List(33, 63), List(11, 64), List(16, 65), List(32, 66), List(20, 67), List(22, 68), List(51, 69), List(45, 70), List(67, 71), List(48, 72), List(71, 73), List(51, 74), List(11, 75), List(67, 76), List(68, 77), List(64, 78), List(58, 79), List(10, 80), List(64, 81), List(81, 82), List(78, 83), List(32, 84), List(46, 85), List(56, 86), List(40, 87), List(44, 88), List(61, 89), List(45, 90), List(31, 91), List(20, 92), List(44, 93), List(6, 94), List(46, 95), List(16, 96), List(79, 97), List(77, 98), List(78, 99), List(1, 100), List(27, 101), List(26, 102), List(34, 103), List(41, 104), List(24, 105), List(100, 106), List(103, 107), List(75, 108), List(11, 109), List(25, 110), List(16, 111), List(36, 112), List(62, 113), List(73, 114), List(53, 115), List(72, 116), List(21, 117), List(105, 118), List(8, 119), List(63, 120), List(86, 121), List(56, 122), List(21, 123), List(87, 124), List(10, 125), List(102, 126), List(69, 127), List(81, 128), List(25, 129), List(100, 130), List(52, 131), List(52, 132), List(95, 133), List(66, 134), List(18, 135), List(113, 136), List(75, 137), List(64, 138), List(2, 139), List(15, 140), List(100, 141), List(76, 142), List(136, 143), List(31, 144), List(23, 145), List(75, 146), List(128, 147), List(47, 148), List(25, 149), List(108, 150), List(72, 151), List(106, 152), List(40, 153), List(41, 154), List(10, 155), List(87, 156), List(148, 157), List(137, 158), List(76, 159), List(91, 160), List(96, 161), List(114, 162), List(38, 163), List(121, 164), List(110, 165), List(125, 166), List(71, 167), List(116, 168), List(156, 169), List(82, 170), List(17, 171), List(120, 172), List(150, 173), List(127, 174), List(130, 175), List(78, 176), List(89, 177), List(12, 178), List(114, 179), List(170, 180), List(164, 181), List(21, 182), List(179, 183), List(65, 184), List(167, 185), List(14, 186), List(24, 187), List(146, 188), List(37, 189), List(149, 190), List(143, 191), List(54, 192), List(43, 193), List(163, 194), List(193, 195), List(181, 196), List(40, 197), List(126, 198), List(188, 199), List(26, 200), List(101, 201), List(122, 202), List(161, 203), List(64, 204), List(183, 205), List(15, 206), List(39, 207), List(0, 208), List(159, 209), List(22, 210), List(166, 211), List(185, 212), List(127, 213), List(187, 214), List(70, 215), List(102, 216), List(127, 217), List(179, 218), List(180, 219), List(160, 220), List(91, 221), List(41, 222), List(172, 223), List(165, 224), List(119, 225), List(205, 226), List(73, 227), List(160, 228), List(191, 229), List(98, 230), List(154, 231), List(3, 232), List(102, 233), List(82, 234), List(71, 235), List(146, 236), List(107, 237), List(188, 238), List(148, 239), List(142, 240), List(194, 241), List(144, 242), List(103, 243), List(88, 244), List(208, 245), List(100, 246), List(161, 247), List(6, 248), List(112, 249), List(120, 250), List(123, 251), List(79, 252), List(87, 253), List(188, 254), List(122, 255), List(36, 256), List(181, 257), List(176, 258), List(35, 259), List(248, 260), List(216, 261), List(147, 262), List(134, 263), List(60, 264), List(103, 265), List(228, 266), List(35, 267), List(207, 268), List(9, 269), List(91, 270), List(217, 271), List(56, 272), List(221, 273), List(104, 274), List(142, 275), List(92, 276), List(223, 277), List(236, 278), List(256, 279), List(248, 280), List(158, 281), List(60, 282), List(105, 283), List(172, 284), List(86, 285), List(274, 286), List(281, 287), List(16, 288), List(56, 289), List(70, 290), List(277, 291), List(144, 292), List(118, 293), List(86, 294), List(278, 295), List(248, 296), List(23, 297), List(167, 298), List(183, 299), List(292, 300), List(122, 301), List(13, 302), List(154, 303), List(49, 304), List(3, 305), List(298, 306), List(16, 307), List(124, 308), List(278, 309), List(287, 310), List(54, 311), List(108, 312), List(164, 313), List(43, 314), List(231, 315), List(49, 316), List(164, 317), List(267, 318), List(154, 319), List(124, 320), List(75, 321), List(243, 322), List(163, 323), List(187, 324), List(40, 325), List(121, 326), List(90, 327), List(121, 328), List(178, 329), List(79, 330), List(248, 331), List(112, 332), List(182, 333), List(268, 334), List(11, 335), List(226, 336), List(195, 337), List(21, 338), List(29, 339), List(185, 340), List(225, 341), List(227, 342), List(45, 343), List(157, 344), List(96, 345), List(37, 346), List(135, 347), List(279, 348), List(240, 349), List(225, 350), List(128, 351), List(182, 352), List(325, 353), List(63, 354), List(13, 355), List(339, 356), List(343, 357), List(115, 358), List(236, 359), List(297, 360), List(251, 361), List(92, 362), List(359, 363), List(53, 364), List(6, 365), List(118, 366), List(55, 367), List(103, 368), List(135, 369), List(87, 370), List(241, 371), List(66, 372), List(175, 373), List(268, 374), List(38, 375), List(51, 376), List(164, 377), List(260, 378), List(335, 379), List(340, 380), List(344, 381), List(261, 382), List(283, 383), List(118, 384), List(358, 385), List(13, 386), List(323, 387), List(51, 388), List(191, 389), List(317, 390), List(363, 391), List(25, 392), List(349, 393), List(177, 394), List(75, 395), List(185, 396), List(283, 397), List(133, 398), List(179, 399), List(378, 400), List(124, 401), List(364, 402), List(201, 403), List(344, 404), List(300, 405), List(167, 406), List(19, 407), List(45, 408), List(297, 409), List(299, 410), List(94, 411), List(410, 412), List(384, 413), List(371, 414), List(414, 415), List(332, 416), List(191, 417), List(166, 418), List(350, 419), List(73, 420), List(307, 421), List(320, 422), List(393, 423), List(418, 424), List(3, 425), List(6, 426), List(104, 427), List(176, 428), List(392, 429), List(334, 430), List(277, 431), List(218, 432), List(211, 433), List(8, 434), List(200, 435), List(337, 436), List(78, 437), List(403, 438), List(405, 439), List(406, 440), List(212, 441), List(261, 442), List(46, 443), List(360, 444), List(41, 445), List(197, 446), List(218, 447), List(148, 448), List(270, 449), List(98, 450), List(271, 451), List(301, 452), List(414, 453), List(390, 454), List(153, 455), List(249, 456), List(50, 457), List(353, 458), List(312, 459), List(276, 460), List(358, 461), List(25, 462), List(212, 463), List(220, 464), List(132, 465), List(345, 466), List(256, 467), List(208, 468), List(136, 469), List(11, 470), List(162, 471), List(294, 472), List(101, 473), List(89, 474), List(279, 475), List(120, 476), List(369, 477), List(45, 478), List(160, 479), List(214, 480), List(442, 481), List(296, 482), List(62, 483), List(402, 484), List(356, 485), List(324, 486), List(408, 487), List(402, 488), List(155, 489), List(366, 490), List(53, 491), List(118, 492), List(325, 493), List(16, 494), List(454, 495), List(34, 496), List(40, 497), List(298, 498), List(237, 499), List(188, 500), List(372, 501), List(190, 502), List(220, 503), List(201, 504), List(172, 505), List(160, 506), List(207, 507), List(95, 508), List(454, 509), List(235, 510), List(262, 511), List(248, 512), List(111, 513), List(185, 514), List(7, 515), List(93, 516), List(78, 517), List(101, 518), List(341, 519), List(106, 520), List(380, 521), List(233, 522), List(275, 523), List(59, 524), List(522, 525), List(409, 526), List(22, 527), List(372, 528), List(460, 529), List(259, 530), List(295, 531), List(84, 532), List(64, 533), List(389, 534), List(134, 535), List(433, 536), List(15, 537), List(13, 538), List(426, 539), List(173, 540), List(284, 541), List(413, 542), List(340, 543), List(487, 544), List(1, 545), List(365, 546), List(55, 547), List(2, 548), List(138, 549), List(269, 550), List(369, 551), List(427, 552), List(1, 553), List(89, 554), List(444, 555), List(515, 556), List(318, 557), List(544, 558), List(14, 559), List(310, 560), List(37, 561), List(453, 562), List(204, 563), List(6, 564), List(347, 565), List(192, 566), List(26, 567), List(481, 568), List(42, 569), List(295, 570), List(5, 571), List(445, 572), List(224, 573), List(233, 574), List(294, 575), List(287, 576), List(96, 577), List(471, 578), List(185, 579), List(432, 580), List(557, 581), List(543, 582), List(342, 583), List(488, 584), List(250, 585), List(279, 586), List(169, 587), List(292, 588), List(293, 589), List(186, 590), List(31, 591), List(586, 592), List(351, 593), List(487, 594), List(397, 595), List(522, 596), List(68, 597), List(52, 598), List(554, 599), List(381, 600), List(492, 601), List(102, 602), List(114, 603), List(459, 604), List(364, 605), List(505, 606), List(587, 607), List(484, 608), List(570, 609), List(283, 610), List(11, 611), List(83, 612), List(443, 613), List(105, 614), List(212, 615), List(346, 616), List(541, 617), List(251, 618), List(419, 619), List(11, 620), List(347, 621), List(396, 622), List(332, 623), List(271, 624), List(11, 625), List(349, 626), List(16, 627), List(572, 628), List(375, 629), List(399, 630), List(78, 631), List(625, 632), List(477, 633), List(511, 634), List(437, 635), List(219, 636), List(551, 637), List(83, 638), List(446, 639), List(281, 640), List(163, 641), List(308, 642), List(112, 643), List(434, 644), List(110, 645), List(283, 646), List(535, 647), List(253, 648), List(538, 649), List(401, 650), List(589, 651), List(619, 652), List(144, 653), List(483, 654), List(375, 655), List(266, 656), List(151, 657), List(46, 658), List(169, 659), List(102, 660), List(84, 661), List(527, 662), List(320, 663), List(647, 664), List(225, 665), List(136, 666), List(70, 667), List(171, 668), List(325, 669), List(650, 670), List(241, 671), List(347, 672), List(321, 673), List(530, 674), List(430, 675), List(521, 676), List(314, 677), List(506, 678), List(303, 679), List(95, 680), List(589, 681), List(202, 682), List(117, 683), List(450, 684), List(296, 685), List(2, 686), List(463, 687), List(423, 688), List(72, 689), List(276, 690), List(431, 691), List(16, 692), List(169, 693), List(15, 694), List(591, 695), List(392, 696), List(532, 697), List(8, 698), List(311, 699), List(687, 700), List(660, 701), List(398, 702), List(341, 703), List(312, 704), List(687, 705), List(406, 706), List(656, 707), List(159, 708), List(109, 709), List(603, 710), List(394, 711), List(368, 712), List(186, 713), List(531, 714), List(147, 715), List(507, 716), List(678, 717), List(366, 718), List(161, 719), List(170, 720), List(110, 721), List(116, 722), List(30, 723), List(31, 724), List(362, 725), List(447, 726), List(421, 727), List(157, 728), List(233, 729), List(30, 730), List(84, 731), List(11, 732), List(33, 733), List(363, 734), List(726, 735), List(518, 736), List(81, 737), List(407, 738), List(453, 739), List(376, 740), List(105, 741), List(651, 742), List(193, 743), List(611, 744), List(734, 745), List(711, 746), List(22, 747), List(323, 748), List(405, 749), List(357, 750), List(737, 751), List(164, 752), List(439, 753), List(574, 754), List(698, 755), List(353, 756), List(704, 757), List(703, 758), List(24, 759), List(450, 760), List(600, 761), List(31, 762), List(297, 763), List(29, 764), List(760, 765), List(550, 766), List(663, 767), List(444, 768), List(50, 769), List(729, 770))), 181397)
+  }
+
+  test("test9") {
+    assertEquals(Main.minimumScore(List(19183344, 64257384, 33889679, 98493512, 91396478, 7604741, 63462743, 58669582, 37878044, 21181585),List(List(0, 1), List(0, 2), List(0, 3), List(2, 4), List(2, 5), List(2, 6), List(6, 7), List(7, 8), List(7, 9))), 16696459)
+  }
+
+}

minimum_score_by_changing_two_elements/haskell_tests/Main.hs

@@ -0,0 +1,24 @@
+
+module Main where
+import Test.HUnit
+
+--Program start
+
+--Program end
+
+-- Test cases
+
+test1 :: Test
+test1 = TestCase (assertEqual "for (minimizeSum [1,4,7,8,5])," 3 (minimizeSum [1,4,7,8,5]))
+
+test2 :: Test
+test2 = TestCase (assertEqual "for (minimizeSum [1,4,3])," 0 (minimizeSum [1,4,3]))
+
+
+-- Grouping test cases
+tests :: Test
+tests = TestList [TestLabel "Test1" test1]
+
+-- Running the tests
+main :: IO Counts
+main = runTestTT tests

minimum_score_by_changing_two_elements/java_tests/Main.java

@@ -0,0 +1,21 @@
+
+import static org.junit.jupiter.api.Assertions.*;
+import org.junit.jupiter.api.Test;
+import java.util.List;
+import java.util.Arrays;
+import java.util.ArrayList;
+public class Main {
+    //Program start
+    
+    //Program end
+
+    @Test
+public void test1() {
+    assertEquals(3, minimizeSum(new ArrayList<>(Arrays.asList(1,4,7,8,5))));
+}
+@Test
+public void test2() {
+    assertEquals(0, minimizeSum(new ArrayList<>(Arrays.asList(1,4,3))));
+}
+
+}

minimum_score_by_changing_two_elements/ocaml_tests/main.ml

@@ -0,0 +1,26 @@
+
+module Main = struct
+    open OUnit2
+
+    (* Program start *)
+
+    (* Program end *)
+
+    (* Test cases *)
+    
+let test1 _ = assert_equal 3 (minimizeSum [1;4;7;8;5])
+
+let test2 _ = assert_equal 0 (minimizeSum [1;4;3])
+
+
+    (* Grouping test cases *)
+    let suite = "Test Suite for minimizeSum" >::: [
+        
+  "test1" >:: test1;
+  "test2" >:: test2;
+    ]
+
+
+    (* Running the tests *)
+    let () = run_test_tt_main suite
+end

minimum_score_by_changing_two_elements/scala_tests/MySuite.scala

@@ -0,0 +1,12 @@
+
+class MySuite extends munit.FunSuite {
+  
+  test("test1") {
+    assertEquals(Main.minimizeSum(List(1,4,7,8,5)), 3)
+  }
+
+  test("test2") {
+    assertEquals(Main.minimizeSum(List(1,4,3)), 0)
+  }
+
+}

minimum_score_of_a_path_between_two_cities/haskell_tests/Main.hs

@@ -0,0 +1,24 @@
+
+module Main where
+import Test.HUnit
+
+--Program start
+
+--Program end
+
+-- Test cases
+
+test1 :: Test
+test1 = TestCase (assertEqual "for (minScore 4 [[1,2,9],[2,3,6],[2,4,5],[1,4,7]])," 5 (minScore 4 [[1,2,9],[2,3,6],[2,4,5],[1,4,7]]))
+
+test2 :: Test
+test2 = TestCase (assertEqual "for (minScore 4 [[1,2,2],[1,3,4],[3,4,7]])," 2 (minScore 4 [[1,2,2],[1,3,4],[3,4,7]]))
+
+
+-- Grouping test cases
+tests :: Test
+tests = TestList [TestLabel "Test1" test1]
+
+-- Running the tests
+main :: IO Counts
+main = runTestTT tests

minimum_score_of_a_path_between_two_cities/java_tests/Main.java

@@ -0,0 +1,21 @@
+
+import static org.junit.jupiter.api.Assertions.*;
+import org.junit.jupiter.api.Test;
+import java.util.List;
+import java.util.Arrays;
+import java.util.ArrayList;
+public class Main {
+    //Program start
+    
+    //Program end
+
+    @Test
+public void test1() {
+    assertEquals(5, minScore(4, new ArrayList<>(Arrays.asList(new ArrayList<>(Arrays.asList(1,2,9)),new ArrayList<>(Arrays.asList(2,3,6)),new ArrayList<>(Arrays.asList(2,4,5)),new ArrayList<>(Arrays.asList(1,4,7))))));
+}
+@Test
+public void test2() {
+    assertEquals(2, minScore(4, new ArrayList<>(Arrays.asList(new ArrayList<>(Arrays.asList(1,2,2)),new ArrayList<>(Arrays.asList(1,3,4)),new ArrayList<>(Arrays.asList(3,4,7))))));
+}
+
+}

minimum_score_of_a_path_between_two_cities/meta.json

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d45cb14901a8bba08a34135ab626867cbd7d3e926a0ee47e156ca704b7ac8172
+size 39744893

minimum_score_of_a_path_between_two_cities/ocaml_tests/main.ml

@@ -0,0 +1,26 @@
+
+module Main = struct
+    open OUnit2
+
+    (* Program start *)
+
+    (* Program end *)
+
+    (* Test cases *)
+    
+let test1 _ = assert_equal 5 (minScore 4 [[1;2;9];[2;3;6];[2;4;5];[1;4;7]])
+
+let test2 _ = assert_equal 2 (minScore 4 [[1;2;2];[1;3;4];[3;4;7]])
+
+
+    (* Grouping test cases *)
+    let suite = "Test Suite for minScore" >::: [
+        
+  "test1" >:: test1;
+  "test2" >:: test2;
+    ]
+
+
+    (* Running the tests *)
+    let () = run_test_tt_main suite
+end

minimum_score_of_a_path_between_two_cities/scala_tests/MySuite.scala

@@ -0,0 +1,12 @@
+
+class MySuite extends munit.FunSuite {
+  
+  test("test1") {
+    assertEquals(Main.minScore(4,List(List(1,2,9),List(2,3,6),List(2,4,5),List(1,4,7))), 5)
+  }
+
+  test("test2") {
+    assertEquals(Main.minScore(4,List(List(1,2,2),List(1,3,4),List(3,4,7))), 2)
+  }
+
+}

minimum_seconds_to_equalize_a_circular_array/haskell_tests/Main.hs

@@ -0,0 +1,27 @@
+
+module Main where
+import Test.HUnit
+
+--Program start
+
+--Program end
+
+-- Test cases
+
+test1 :: Test
+test1 = TestCase (assertEqual "for (minimumSeconds [1,2,1,2])," 1 (minimumSeconds [1,2,1,2]))
+
+test2 :: Test
+test2 = TestCase (assertEqual "for (minimumSeconds [2,1,3,3,2])," 2 (minimumSeconds [2,1,3,3,2]))
+
+test3 :: Test
+test3 = TestCase (assertEqual "for (minimumSeconds [5,5,5,5])," 0 (minimumSeconds [5,5,5,5]))
+
+
+-- Grouping test cases
+tests :: Test
+tests = TestList [TestLabel "Test1" test1, TestLabel "Test2" test2]
+
+-- Running the tests
+main :: IO Counts
+main = runTestTT tests

minimum_seconds_to_equalize_a_circular_array/java_tests/Main.java

@@ -0,0 +1,25 @@
+
+import static org.junit.jupiter.api.Assertions.*;
+import org.junit.jupiter.api.Test;
+import java.util.List;
+import java.util.Arrays;
+import java.util.ArrayList;
+public class Main {
+    //Program start
+    
+    //Program end
+
+    @Test
+public void test1() {
+    assertEquals(1, minimumSeconds(new ArrayList<>(Arrays.asList(1,2,1,2))));
+}
+@Test
+public void test2() {
+    assertEquals(2, minimumSeconds(new ArrayList<>(Arrays.asList(2,1,3,3,2))));
+}
+@Test
+public void test3() {
+    assertEquals(0, minimumSeconds(new ArrayList<>(Arrays.asList(5,5,5,5))));
+}
+
+}

minimum_seconds_to_equalize_a_circular_array/meta.json

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b4dfc507d29ce8fffeb61eb279bbd550148be6f5ee5dd50989691885e4343f5a
+size 10960924

minimum_seconds_to_equalize_a_circular_array/ocaml_tests/main.ml

@@ -0,0 +1,29 @@
+
+module Main = struct
+    open OUnit2
+
+    (* Program start *)
+
+    (* Program end *)
+
+    (* Test cases *)
+    
+let test1 _ = assert_equal 1 (minimumSeconds [1;2;1;2])
+
+let test2 _ = assert_equal 2 (minimumSeconds [2;1;3;3;2])
+
+let test3 _ = assert_equal 0 (minimumSeconds [5;5;5;5])
+
+
+    (* Grouping test cases *)
+    let suite = "Test Suite for minimumSeconds" >::: [
+        
+  "test1" >:: test1;
+  "test2" >:: test2;
+  "test3" >:: test3;
+    ]
+
+
+    (* Running the tests *)
+    let () = run_test_tt_main suite
+end

minimum_seconds_to_equalize_a_circular_array/scala_tests/MySuite.scala

@@ -0,0 +1,16 @@
+
+class MySuite extends munit.FunSuite {
+  
+  test("test1") {
+    assertEquals(Main.minimumSeconds(List(1,2,1,2)), 1)
+  }
+
+  test("test2") {
+    assertEquals(Main.minimumSeconds(List(2,1,3,3,2)), 2)
+  }
+
+  test("test3") {
+    assertEquals(Main.minimumSeconds(List(5,5,5,5)), 0)
+  }
+
+}

minimum_size_subarray_in_infinite_array/java_tests/Main.java

@@ -0,0 +1,25 @@
+
+import static org.junit.jupiter.api.Assertions.*;
+import org.junit.jupiter.api.Test;
+import java.util.List;
+import java.util.Arrays;
+import java.util.ArrayList;
+public class Main {
+    //Program start
+    
+    //Program end
+
+    @Test
+public void test1() {
+    assertEquals(2, minSizeSubarray(new ArrayList<>(Arrays.asList(1,2,3)), 5));
+}
+@Test
+public void test2() {
+    assertEquals(2, minSizeSubarray(new ArrayList<>(Arrays.asList(1,1,1,2,3)), 4));
+}
+@Test
+public void test3() {
+    assertEquals(-1, minSizeSubarray(new ArrayList<>(Arrays.asList(2,4,6,8)), 3));
+}
+
+}

minimum_size_subarray_in_infinite_array/meta.json

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1493c7601b814822b03e8308811817c2cf8bf287b58a4f652d895212753de0f5
+size 16766503

minimum_string_length_after_removing_substrings/haskell_tests/Main.hs

@@ -0,0 +1,47 @@
+
+module Main where
+import Test.HUnit
+
+--Program start
+minLength :: String -> Int
+minLength s = undefined
+
+--Program end
+
+-- Test cases
+
+test1 :: Test
+test1 = TestCase (assertEqual "for (minLength \"ABFCACDB \")," 2 (minLength "ABFCACDB"))
+
+test2 :: Test
+test2 = TestCase (assertEqual "for (minLength \"ACBBD \")," 5 (minLength "ACBBD"))
+
+test3 :: Test
+test3 = TestCase (assertEqual "for (minLength  \"YSWYFTJKQAOKKIFMPECDWLTTTHNBBDXVZKWPZPKMSDLMASHPDTCLYGNNWRIHOIYTZPAWMJZQ \")," 70 (minLength "YSWYFTJKQAOKKIFMPECDWLTTTHNBBDXVZKWPZPKMSDLMASHPDTCLYGNNWRIHOIYTZPAWMJZQ"))
+
+test4 :: Test
+test4 = TestCase (assertEqual "for (minLength  \"YNYISVNQYVTPTEGMRDVKYLQMFOTF \")," 28 (minLength "YNYISVNQYVTPTEGMRDVKYLQMFOTF"))
+
+test5 :: Test
+test5 = TestCase (assertEqual "for (minLength  \"ZQZTAMHNTPWIHNIWALGXQKILOOQXJGZVQBUNRYWSLNQTVVJOFAYOIJBXPKCDKZPSBXRZTCFFWSOZPOADZJCYJ \")," 83 (minLength "ZQZTAMHNTPWIHNIWALGXQKILOOQXJGZVQBUNRYWSLNQTVVJOFAYOIJBXPKCDKZPSBXRZTCFFWSOZPOADZJCYJ"))
+
+test6 :: Test
+test6 = TestCase (assertEqual "for (minLength  \"RPSVIXXDMLSOMCXININPUSOZZATOGQRBWECXXQSTKZUZNHKIZWIVDPGGFGXNYQPMCZLMEWNY \")," 72 (minLength "RPSVIXXDMLSOMCXININPUSOZZATOGQRBWECXXQSTKZUZNHKIZWIVDPGGFGXNYQPMCZLMEWNY"))
+
+test7 :: Test
+test7 = TestCase (assertEqual "for (minLength  \"LJRZBTBNLKLPZ \")," 13 (minLength "LJRZBTBNLKLPZ"))
+
+test8 :: Test
+test8 = TestCase (assertEqual "for (minLength  \"HTJYGETJMHWVAJHLFDOMPSOURF \")," 26 (minLength "HTJYGETJMHWVAJHLFDOMPSOURF"))
+
+test9 :: Test
+test9 = TestCase (assertEqual "for (minLength  \"PWHXGCJLEAIQEHLAMEOZKELDCSLPTWRJYYSVFKWSUZIUPCHEUGVBFEFNVM \")," 58 (minLength "PWHXGCJLEAIQEHLAMEOZKELDCSLPTWRJYYSVFKWSUZIUPCHEUGVBFEFNVM"))
+
+
+-- Grouping test cases
+tests :: Test
+tests = TestList [TestLabel "Test1" test1, TestLabel "Test2" test2, TestLabel "Test3" test3, TestLabel "Test4" test4, TestLabel "Test5" test5, TestLabel "Test6" test6, TestLabel "Test7" test7, TestLabel "Test8" test8, TestLabel "Test9" test9]
+
+-- Running the tests
+main :: IO Counts
+main = runTestTT tests

minimum_string_length_after_removing_substrings/java_tests/Main.java

@@ -0,0 +1,20 @@
+
+import static org.junit.jupiter.api.Assertions.*;
+import org.junit.jupiter.api.Test;
+import java.util.List;
+import java.util.Arrays;
+public class Main {
+    //Program start
+
+    //Program end
+
+    @Test
+public void test1() {
+    assertEquals(2, minLength("ABFCACDB"));
+}
+@Test
+public void test2() {
+    assertEquals(5, minLength("ACBBD"));
+}
+
+}

minimum_string_length_after_removing_substrings/meta.json

@@ -0,0 +1,67 @@
+{
+    "id": 2800,
+    "name": "minimum_string_length_after_removing_substrings",
+    "difficulty": "Easy",
+    "link": "https://leetcode.com/problems/minimum-string-length-after-removing-substrings/",
+    "date": "2023-05-14 00:00:00",
+    "task_description": "You are given a string `s` consisting only of **uppercase** English letters. You can apply some operations to this string where, in one operation, you can remove **any** occurrence of one of the substrings `\"AB\"` or `\"CD\"` from `s`. Return _the **minimum** possible length of the resulting string that you can obtain_. **Note** that the string concatenates after removing the substring and could produce new `\"AB\"` or `\"CD\"` substrings. **Example 1:** ``` **Input:** s = \"ABFCACDB\" **Output:** 2 **Explanation:** We can do the following operations: - Remove the substring \"ABFCACDB\", so s = \"FCACDB\". - Remove the substring \"FCACDB\", so s = \"FCAB\". - Remove the substring \"FCAB\", so s = \"FC\". So the resulting length of the string is 2. It can be shown that it is the minimum length that we can obtain. ``` **Example 2:** ``` **Input:** s = \"ACBBD\" **Output:** 5 **Explanation:** We cannot do any operations on the string so the length remains the same. ``` **Constraints:** `1 <= s.length <= 100` `s` consists only of uppercase English letters.",
+    "public_test_cases": [
+        {
+            "label": "Example 1",
+            "input": "s = \"ABFCACDB\"",
+            "output": "2 "
+        },
+        {
+            "label": "Example 2",
+            "input": "s = \"ACBBD\"",
+            "output": "5 "
+        }
+    ],
+    "private_test_cases": [
+        {
+            "input": "YSWYFTJKQAOKKIFMPECDWLTTTHNBBDXVZKWPZPKMSDLMASHPDTCLYGNNWRIHOIYTZPAWMJZQ",
+            "output": 70
+        },
+        {
+            "input": "YNYISVNQYVTPTEGMRDVKYLQMFOTF",
+            "output": 28
+        },
+        {
+            "input": "ZQZTAMHNTPWIHNIWALGXQKILOOQXJGZVQBUNRYWSLNQTVVJOFAYOIJBXPKCDKZPSBXRZTCFFWSOZPOADZJCYJ",
+            "output": 83
+        },
+        {
+            "input": "RPSVIXXDMLSOMCXININPUSOZZATOGQRBWECXXQSTKZUZNHKIZWIVDPGGFGXNYQPMCZLMEWNY",
+            "output": 72
+        },
+        {
+            "input": "LJRZBTBNLKLPZ",
+            "output": 13
+        },
+        {
+            "input": "HTJYGETJMHWVAJHLFDOMPSOURF",
+            "output": 26
+        },
+        {
+            "input": "PWHXGCJLEAIQEHLAMEOZKELDCSLPTWRJYYSVFKWSUZIUPCHEUGVBFEFNVM",
+            "output": 58
+        },
+        {
+            "input": "NLPLSPPPYTCEOSTQZZUZNCVKAKJBBQMISVEZQIHRJKZSVAJXICLWMMF",
+            "output": 55
+        },
+        {
+            "input": "FFUDSNTHDPVWXHLQNRRXNQZMDOEPCMCMEZICPGUDBGKMZNZGSKCOPTKEAXLSQNWGYOMAXUKCSZG",
+            "output": 75
+        },
+        {
+            "input": "CRNGZMVRMIYXLBGLIKJEBZAVMXDGCXFGVAYUASJGNLMVCSV",
+            "output": 47
+        }
+    ],
+    "haskell_template": "minLength :: String -> Int\nminLength s ",
+    "ocaml_template": "let minLength (s: string) : int =  ",
+    "scala_template": "def minLength(s: String): Int = { \n    \n}",
+    "java_template": "class Solution {\n    public int minLength(String s) {\n        \n    }\n}",
+    "python_template": "class Solution(object):\n    def minLength(self, s):\n        \"\"\"\n        :type s: str\n        :rtype: int\n        \"\"\"\n        "
+}

minimum_string_length_after_removing_substrings/ocaml_tests/main.ml

@@ -0,0 +1,51 @@
+
+module Main = struct
+    open OUnit2
+
+    (* Program start *)
+    let minLength (s: string) : int =   failwith "Not implemented"
+
+    (* Program end *)
+
+    (* Test cases *)
+    
+let test1 _ = assert_equal 2 (minLength "ABFCACDB")
+
+let test2 _ = assert_equal 5 (minLength "ACBBD")
+
+let test3 _ = assert_equal 5 (minLength "YSWYFTJKQAOKKIFMPECDWLTTTHNBBDXVZKWPZPKMSDLMASHPDTCLYGNNWRIHOIYTZPAWMJZQ")
+
+let test4 _ = assert_equal 5 (minLength "YNYISVNQYVTPTEGMRDVKYLQMFOTF")
+
+let test5 _ = assert_equal 5 (minLength "ZQZTAMHNTPWIHNIWALGXQKILOOQXJGZVQBUNRYWSLNQTVVJOFAYOIJBXPKCDKZPSBXRZTCFFWSOZPOADZJCYJ")
+
+let test6 _ = assert_equal 5 (minLength "RPSVIXXDMLSOMCXININPUSOZZATOGQRBWECXXQSTKZUZNHKIZWIVDPGGFGXNYQPMCZLMEWNY")
+
+let test7 _ = assert_equal 5 (minLength "LJRZBTBNLKLPZ")
+
+let test8 _ = assert_equal 5 (minLength "HTJYGETJMHWVAJHLFDOMPSOURF")
+
+let test9 _ = assert_equal 5 (minLength "PWHXGCJLEAIQEHLAMEOZKELDCSLPTWRJYYSVFKWSUZIUPCHEUGVBFEFNVM")
+
+let test10 _ = assert_equal 5 (minLength "NLPLSPPPYTCEOSTQZZUZNCVKAKJBBQMISVEZQIHRJKZSVAJXICLWMMF")
+
+
+    (* Grouping test cases *)
+    let suite = "Test Suite for minLength" >::: [
+        
+  "test1" >:: test1;
+  "test2" >:: test2;
+  "test3" >:: test3;
+  "test4" >:: test4;
+  "test5" >:: test5;
+  "test6" >:: test6;
+  "test7" >:: test7;
+  "test8" >:: test8;
+  "test9" >:: test9;
+  "test10" >:: test10;
+    ]
+
+
+    (* Running the tests *)
+    let () = run_test_tt_main suite
+end

minimum_string_length_after_removing_substrings/scala_tests/MySuite.scala

@@ -0,0 +1,44 @@
+
+class MySuite extends munit.FunSuite {
+  
+  test("test1") {
+    assertEquals(Main.minLength("ABFCACDB"), 2)
+  }
+
+  test("test2") {
+    assertEquals(Main.minLength("ACBBD"), 5)
+  }
+
+  test("test3") {
+    assertEquals(Main.minLength(",Y,S,W,Y,F,T,J,K,Q,A,O,K,K,I,F,M,P,E,C,D,W,L,T,T,T,H,N,B,B,D,X,V,Z,K,W,P,Z,P,K,M,S,D,L,M,A,S,H,P,D,T,C,L,Y,G,N,N,W,R,I,H,O,I,Y,T,Z,P,A,W,M,J,Z,Q,"), 70)
+  }
+
+  test("test4") {
+    assertEquals(Main.minLength(",Y,N,Y,I,S,V,N,Q,Y,V,T,P,T,E,G,M,R,D,V,K,Y,L,Q,M,F,O,T,F,"), 28)
+  }
+
+  test("test5") {
+    assertEquals(Main.minLength(",Z,Q,Z,T,A,M,H,N,T,P,W,I,H,N,I,W,A,L,G,X,Q,K,I,L,O,O,Q,X,J,G,Z,V,Q,B,U,N,R,Y,W,S,L,N,Q,T,V,V,J,O,F,A,Y,O,I,J,B,X,P,K,C,D,K,Z,P,S,B,X,R,Z,T,C,F,F,W,S,O,Z,P,O,A,D,Z,J,C,Y,J,"), 83)
+  }
+
+  test("test6") {
+    assertEquals(Main.minLength(",R,P,S,V,I,X,X,D,M,L,S,O,M,C,X,I,N,I,N,P,U,S,O,Z,Z,A,T,O,G,Q,R,B,W,E,C,X,X,Q,S,T,K,Z,U,Z,N,H,K,I,Z,W,I,V,D,P,G,G,F,G,X,N,Y,Q,P,M,C,Z,L,M,E,W,N,Y,"), 72)
+  }
+
+  test("test7") {
+    assertEquals(Main.minLength(",L,J,R,Z,B,T,B,N,L,K,L,P,Z,"), 13)
+  }
+
+  test("test8") {
+    assertEquals(Main.minLength(",H,T,J,Y,G,E,T,J,M,H,W,V,A,J,H,L,F,D,O,M,P,S,O,U,R,F,"), 26)
+  }
+
+  test("test9") {
+    assertEquals(Main.minLength(",P,W,H,X,G,C,J,L,E,A,I,Q,E,H,L,A,M,E,O,Z,K,E,L,D,C,S,L,P,T,W,R,J,Y,Y,S,V,F,K,W,S,U,Z,I,U,P,C,H,E,U,G,V,B,F,E,F,N,V,M,"), 58)
+  }
+
+  test("test10") {
+    assertEquals(Main.minLength(",N,L,P,L,S,P,P,P,Y,T,C,E,O,S,T,Q,Z,Z,U,Z,N,C,V,K,A,K,J,B,B,Q,M,I,S,V,E,Z,Q,I,H,R,J,K,Z,S,V,A,J,X,I,C,L,W,M,M,F,"), 55)
+  }
+
+}

minimum_substring_partition_of_equal_character_frequency/haskell_tests/Main.hs

@@ -0,0 +1,41 @@
+
+module Main where
+import Test.HUnit
+
+--Program start
+minimumSubstringsInPartition :: String -> Int
+minimumSubstringsInPartition s = undefined
+
+--Program end
+
+-- Test cases
+
+test1 :: Test
+test1 = TestCase (assertEqual "for (minimumSubstringsInPartition \"fabccddg \")," 3 (minimumSubstringsInPartition "fabccddg"))
+
+test2 :: Test
+test2 = TestCase (assertEqual "for (minimumSubstringsInPartition \"abababaccddb \")," 2 (minimumSubstringsInPartition "abababaccddb"))
+
+test3 :: Test
+test3 = TestCase (assertEqual "for (minimumSubstringsInPartition  \"tdesjqllurftblgmweakufskptkcyeycoecjkdduvlvpaamunohbexfsolqbnatbskgwfeuqxfjoccekprvxlydwxomucoypzpzfoahudbiphsntucjalcwafeoxqpkivavwrhysmnhugntxotilqkgjeulwctmhkdvxrtxijbjavzegwpvscuvvcflzhdtxbnwlxkfmxoxueudpnbctsixjpvmdgaeeeouwupbwqlehgmnxvbgdwevtafzxepfmqfrkipdvsqdqxkxxzqrcdgrjryrppggxtbfuoeoolcnmmcgdulkjgosnixjblkrfyorbdezooelgrsufxrtwapvviuzmhsdehrybgdguwvzxxzjcpsqkrgmzovzbmcgldexhas \")," 61 (minimumSubstringsInPartition "tdesjqllurftblgmweakufskptkcyeycoecjkdduvlvpaamunohbexfsolqbnatbskgwfeuqxfjoccekprvxlydwxomucoypzpzfoahudbiphsntucjalcwafeoxqpkivavwrhysmnhugntxotilqkgjeulwctmhkdvxrtxijbjavzegwpvscuvvcflzhdtxbnwlxkfmxoxueudpnbctsixjpvmdgaeeeouwupbwqlehgmnxvbgdwevtafzxepfmqfrkipdvsqdqxkxxzqrcdgrjryrppggxtbfuoeoolcnmmcgdulkjgosnixjblkrfyorbdezooelgrsufxrtwapvviuzmhsdehrybgdguwvzxxzjcpsqkrgmzovzbmcgldexhas"))
+
+test4 :: Test
+test4 = TestCase (assertEqual "for (minimumSubstringsInPartition  \"lercdyclvvadfadnbfiakkqlemwtziytjszbbtinqxbhgdwecrvjyzxvlqtricyclvvpvtnkfebwnalrhyiiuyzpgtoaocehclktdrtinutkueftcwljqddrbolhpogzdxumocwartzqminwacjnbrpzvspsblgkvvpqlecsiymwkikrpjdqatvdpfqyakuosuqsmmvwtvdfsqglrxvvscajnfivvtdryeleqjnsnnilykwumyxfswkncttuzjglhlfkbsurtzzdoxwriqhycnejbppsyahtrtdejybgvcmduyuxxcalpbpxdkmmvkdrq \")," 48 (minimumSubstringsInPartition "lercdyclvvadfadnbfiakkqlemwtziytjszbbtinqxbhgdwecrvjyzxvlqtricyclvvpvtnkfebwnalrhyiiuyzpgtoaocehclktdrtinutkueftcwljqddrbolhpogzdxumocwartzqminwacjnbrpzvspsblgkvvpqlecsiymwkikrpjdqatvdpfqyakuosuqsmmvwtvdfsqglrxvvscajnfivvtdryeleqjnsnnilykwumyxfswkncttuzjglhlfkbsurtzzdoxwriqhycnejbppsyahtrtdejybgvcmduyuxxcalpbpxdkmmvkdrq"))
+
+test5 :: Test
+test5 = TestCase (assertEqual "for (minimumSubstringsInPartition  \"ilavhxyiyrvbwtughajyzfabrlswrfpesosymttbtndmdrggdhlaptgzsauzqavjiujedyriiprfhvkrkohormopdjucwyubhvcycdqqfuhybdjlhoqcpopxabdqyilvcfwauxiuzaktweqdyvcmfpppawozutbibwwzarwmcprktrnjkwoslgpuuhdjaeqwszkpewyabngmylwukyiywmjubutazlwvkpxjyotbatitmncgnjwtmrpblotjndhigjjjzjff \")," 43 (minimumSubstringsInPartition "ilavhxyiyrvbwtughajyzfabrlswrfpesosymttbtndmdrggdhlaptgzsauzqavjiujedyriiprfhvkrkohormopdjucwyubhvcycdqqfuhybdjlhoqcpopxabdqyilvcfwauxiuzaktweqdyvcmfpppawozutbibwwzarwmcprktrnjkwoslgpuuhdjaeqwszkpewyabngmylwukyiywmjubutazlwvkpxjyotbatitmncgnjwtmrpblotjndhigjjjzjff"))
+
+test6 :: Test
+test6 = TestCase (assertEqual "for (minimumSubstringsInPartition  \"tinymbqtnphxqqnwexfhuaeeuvajbsxsxfquozisqvoonfsrcboymvwbrtpxsepyebmvyjdgnqyuqyrzpkivfxwuro \")," 14 (minimumSubstringsInPartition "tinymbqtnphxqqnwexfhuaeeuvajbsxsxfquozisqvoonfsrcboymvwbrtpxsepyebmvyjdgnqyuqyrzpkivfxwuro"))
+
+test7 :: Test
+test7 = TestCase (assertEqual "for (minimumSubstringsInPartition  \"dlzeoiwbplpmpcdccuwyfdtokvzuoivdxmrfmzhokaqfsectnawmdvfwcxbgukktlthvwpaahmfhswujebernebaszdumjjkqnufxfedpfvxjjyuhqwztrtxcpmpbppjscqiiaeqvgscxpkkleoalookialeyrnphvmmdgokmbunrzphuiyjshfqbbgwyouzrckyijvcluilfmfpzbdauijdsyakbdzmtsnxzhaxssyzostvyplsjvbpzchpcojneeptqjokuopylydbxhuiquotaooqfwtonrwkhfykvcubzlooqsoxhllcohcigtpdwctfufnuxbmetoktozladresceqnnefxolkbldbrzmaiwabaespwpuzjqbmvtlgoecglxzcxtqibfmvmtnwcpghfnyxvtodkbdbwxailzyqhwawkmslwxytnfsjozqdtwdxxswfkpnmjwboobsyobjmauyrkdtghprhrwmxdzzdorkrvtlskdeaxejccbdfqwndszhfeoujrdqltvfjocyppxwhxkhamhclrlyokwhqdpokkqwlqsprwbypkhvhwqobsqltsmsltceaebpjrzrvgxwqpukqoifwhxmvsvbxxuaqkdusqcowxvdbuvkgrazdhwfdvolapuzodjyrlivjauoaidgsbwcbecdfcwgswebygrzseerbcvpnvmblrrmjuquaniyw \")," 113 (minimumSubstringsInPartition "dlzeoiwbplpmpcdccuwyfdtokvzuoivdxmrfmzhokaqfsectnawmdvfwcxbgukktlthvwpaahmfhswujebernebaszdumjjkqnufxfedpfvxjjyuhqwztrtxcpmpbppjscqiiaeqvgscxpkkleoalookialeyrnphvmmdgokmbunrzphuiyjshfqbbgwyouzrckyijvcluilfmfpzbdauijdsyakbdzmtsnxzhaxssyzostvyplsjvbpzchpcojneeptqjokuopylydbxhuiquotaooqfwtonrwkhfykvcubzlooqsoxhllcohcigtpdwctfufnuxbmetoktozladresceqnnefxolkbldbrzmaiwabaespwpuzjqbmvtlgoecglxzcxtqibfmvmtnwcpghfnyxvtodkbdbwxailzyqhwawkmslwxytnfsjozqdtwdxxswfkpnmjwboobsyobjmauyrkdtghprhrwmxdzzdorkrvtlskdeaxejccbdfqwndszhfeoujrdqltvfjocyppxwhxkhamhclrlyokwhqdpokkqwlqsprwbypkhvhwqobsqltsmsltceaebpjrzrvgxwqpukqoifwhxmvsvbxxuaqkdusqcowxvdbuvkgrazdhwfdvolapuzodjyrlivjauoaidgsbwcbecdfcwgswebygrzseerbcvpnvmblrrmjuquaniyw"))
+
+
+-- Grouping test cases
+tests :: Test
+tests = TestList [TestLabel "Test1" test1, TestLabel "Test2" test2, TestLabel "Test3" test3, TestLabel "Test4" test4, TestLabel "Test5" test5, TestLabel "Test6" test6]
+
+-- Running the tests
+main :: IO Counts
+main = runTestTT tests

minimum_substring_partition_of_equal_character_frequency/java_tests/Main.java

@@ -0,0 +1,20 @@
+
+import static org.junit.jupiter.api.Assertions.*;
+import org.junit.jupiter.api.Test;
+import java.util.List;
+import java.util.Arrays;
+public class Main {
+    //Program start
+
+    //Program end
+
+    @Test
+public void test1() {
+    assertEquals(3, minimumSubstringsInPartition("fabccddg"));
+}
+@Test
+public void test2() {
+    assertEquals(2, minimumSubstringsInPartition("abababaccddb"));
+}
+
+}

minimum_substring_partition_of_equal_character_frequency/meta.json

@@ -0,0 +1,47 @@
+{
+    "id": 3403,
+    "name": "minimum_substring_partition_of_equal_character_frequency",
+    "difficulty": "Medium",
+    "link": "https://leetcode.com/problems/minimum-substring-partition-of-equal-character-frequency/",
+    "date": "2024-04-27 00:00:00",
+    "task_description": "Given a string `s`, you need to partition it into one or more **balanced** substrings. For example, if `s == \"ababcc\"` then `(\"abab\", \"c\", \"c\")`, `(\"ab\", \"abc\", \"c\")`, and `(\"ababcc\")` are all valid partitions, but `(\"a\", **\"bab\"**, \"cc\")`, `(**\"aba\"**, \"bc\", \"c\")`, and `(\"ab\", **\"abcc\"**)` are not. The unbalanced substrings are bolded. Return the **minimum** number of substrings that you can partition `s` into. **Note:** A **balanced** string is a string where each character in the string occurs the same number of times. **Example 1:** **Input:** s = \"fabccddg\" **Output:** 3 **Explanation:** We can partition the string `s` into 3 substrings in one of the following ways: `(\"fab, \"ccdd\", \"g\")`, or `(\"fabc\", \"cd\", \"dg\")`. **Example 2:** **Input:** s = \"abababaccddb\" **Output:** 2 **Explanation:** We can partition the string `s` into 2 substrings like so: `(\"abab\", \"abaccddb\")`. **Constraints:** `1 <= s.length <= 1000` `s` consists only of English lowercase letters.",
+    "public_test_cases": [
+        {
+            "label": "Example 1",
+            "input": "s = \"fabccddg\"",
+            "output": "3 "
+        },
+        {
+            "label": "Example 2",
+            "input": "s = \"abababaccddb\"",
+            "output": "2 "
+        }
+    ],
+    "private_test_cases": [
+        {
+            "input": "tdesjqllurftblgmweakufskptkcyeycoecjkdduvlvpaamunohbexfsolqbnatbskgwfeuqxfjoccekprvxlydwxomucoypzpzfoahudbiphsntucjalcwafeoxqpkivavwrhysmnhugntxotilqkgjeulwctmhkdvxrtxijbjavzegwpvscuvvcflzhdtxbnwlxkfmxoxueudpnbctsixjpvmdgaeeeouwupbwqlehgmnxvbgdwevtafzxepfmqfrkipdvsqdqxkxxzqrcdgrjryrppggxtbfuoeoolcnmmcgdulkjgosnixjblkrfyorbdezooelgrsufxrtwapvviuzmhsdehrybgdguwvzxxzjcpsqkrgmzovzbmcgldexhas",
+            "output": 61
+        },
+        {
+            "input": "lercdyclvvadfadnbfiakkqlemwtziytjszbbtinqxbhgdwecrvjyzxvlqtricyclvvpvtnkfebwnalrhyiiuyzpgtoaocehclktdrtinutkueftcwljqddrbolhpogzdxumocwartzqminwacjnbrpzvspsblgkvvpqlecsiymwkikrpjdqatvdpfqyakuosuqsmmvwtvdfsqglrxvvscajnfivvtdryeleqjnsnnilykwumyxfswkncttuzjglhlfkbsurtzzdoxwriqhycnejbppsyahtrtdejybgvcmduyuxxcalpbpxdkmmvkdrq",
+            "output": 48
+        },
+        {
+            "input": "ilavhxyiyrvbwtughajyzfabrlswrfpesosymttbtndmdrggdhlaptgzsauzqavjiujedyriiprfhvkrkohormopdjucwyubhvcycdqqfuhybdjlhoqcpopxabdqyilvcfwauxiuzaktweqdyvcmfpppawozutbibwwzarwmcprktrnjkwoslgpuuhdjaeqwszkpewyabngmylwukyiywmjubutazlwvkpxjyotbatitmncgnjwtmrpblotjndhigjjjzjff",
+            "output": 43
+        },
+        {
+            "input": "tinymbqtnphxqqnwexfhuaeeuvajbsxsxfquozisqvoonfsrcboymvwbrtpxsepyebmvyjdgnqyuqyrzpkivfxwuro",
+            "output": 14
+        },
+        {
+            "input": "dlzeoiwbplpmpcdccuwyfdtokvzuoivdxmrfmzhokaqfsectnawmdvfwcxbgukktlthvwpaahmfhswujebernebaszdumjjkqnufxfedpfvxjjyuhqwztrtxcpmpbppjscqiiaeqvgscxpkkleoalookialeyrnphvmmdgokmbunrzphuiyjshfqbbgwyouzrckyijvcluilfmfpzbdauijdsyakbdzmtsnxzhaxssyzostvyplsjvbpzchpcojneeptqjokuopylydbxhuiquotaooqfwtonrwkhfykvcubzlooqsoxhllcohcigtpdwctfufnuxbmetoktozladresceqnnefxolkbldbrzmaiwabaespwpuzjqbmvtlgoecglxzcxtqibfmvmtnwcpghfnyxvtodkbdbwxailzyqhwawkmslwxytnfsjozqdtwdxxswfkpnmjwboobsyobjmauyrkdtghprhrwmxdzzdorkrvtlskdeaxejccbdfqwndszhfeoujrdqltvfjocyppxwhxkhamhclrlyokwhqdpokkqwlqsprwbypkhvhwqobsqltsmsltceaebpjrzrvgxwqpukqoifwhxmvsvbxxuaqkdusqcowxvdbuvkgrazdhwfdvolapuzodjyrlivjauoaidgsbwcbecdfcwgswebygrzseerbcvpnvmblrrmjuquaniyw",
+            "output": 113
+        }
+    ],
+    "haskell_template": "minimumSubstringsInPartition :: String -> Int\nminimumSubstringsInPartition s ",
+    "ocaml_template": "let minimumSubstringsInPartition (s: string) : int =  ",
+    "scala_template": "def minimumSubstringsInPartition(s: String): Int = { \n    \n}",
+    "java_template": "class Solution {\n    public int minimumSubstringsInPartition(String s) {\n        \n    }\n}",
+    "python_template": "class Solution(object):\n    def minimumSubstringsInPartition(self, s):\n        \"\"\"\n        :type s: str\n        :rtype: int\n        \"\"\"\n        "
+}

minimum_substring_partition_of_equal_character_frequency/ocaml_tests/main.ml

@@ -0,0 +1,42 @@
+
+module Main = struct
+    open OUnit2
+
+    (* Program start *)
+    let minimumSubstringsInPartition (s: string) : int =   failwith "Not implemented"
+
+    (* Program end *)
+
+    (* Test cases *)
+    
+let test1 _ = assert_equal 3 (minimumSubstringsInPartition "fabccddg")
+
+let test2 _ = assert_equal 2 (minimumSubstringsInPartition "abababaccddb")
+
+let test3 _ = assert_equal 2 (minimumSubstringsInPartition "tdesjqllurftblgmweakufskptkcyeycoecjkdduvlvpaamunohbexfsolqbnatbskgwfeuqxfjoccekprvxlydwxomucoypzpzfoahudbiphsntucjalcwafeoxqpkivavwrhysmnhugntxotilqkgjeulwctmhkdvxrtxijbjavzegwpvscuvvcflzhdtxbnwlxkfmxoxueudpnbctsixjpvmdgaeeeouwupbwqlehgmnxvbgdwevtafzxepfmqfrkipdvsqdqxkxxzqrcdgrjryrppggxtbfuoeoolcnmmcgdulkjgosnixjblkrfyorbdezooelgrsufxrtwapvviuzmhsdehrybgdguwvzxxzjcpsqkrgmzovzbmcgldexhas")
+
+let test4 _ = assert_equal 2 (minimumSubstringsInPartition "lercdyclvvadfadnbfiakkqlemwtziytjszbbtinqxbhgdwecrvjyzxvlqtricyclvvpvtnkfebwnalrhyiiuyzpgtoaocehclktdrtinutkueftcwljqddrbolhpogzdxumocwartzqminwacjnbrpzvspsblgkvvpqlecsiymwkikrpjdqatvdpfqyakuosuqsmmvwtvdfsqglrxvvscajnfivvtdryeleqjnsnnilykwumyxfswkncttuzjglhlfkbsurtzzdoxwriqhycnejbppsyahtrtdejybgvcmduyuxxcalpbpxdkmmvkdrq")
+
+let test5 _ = assert_equal 2 (minimumSubstringsInPartition "ilavhxyiyrvbwtughajyzfabrlswrfpesosymttbtndmdrggdhlaptgzsauzqavjiujedyriiprfhvkrkohormopdjucwyubhvcycdqqfuhybdjlhoqcpopxabdqyilvcfwauxiuzaktweqdyvcmfpppawozutbibwwzarwmcprktrnjkwoslgpuuhdjaeqwszkpewyabngmylwukyiywmjubutazlwvkpxjyotbatitmncgnjwtmrpblotjndhigjjjzjff")
+
+let test6 _ = assert_equal 2 (minimumSubstringsInPartition "tinymbqtnphxqqnwexfhuaeeuvajbsxsxfquozisqvoonfsrcboymvwbrtpxsepyebmvyjdgnqyuqyrzpkivfxwuro")
+
+let test7 _ = assert_equal 2 (minimumSubstringsInPartition "dlzeoiwbplpmpcdccuwyfdtokvzuoivdxmrfmzhokaqfsectnawmdvfwcxbgukktlthvwpaahmfhswujebernebaszdumjjkqnufxfedpfvxjjyuhqwztrtxcpmpbppjscqiiaeqvgscxpkkleoalookialeyrnphvmmdgokmbunrzphuiyjshfqbbgwyouzrckyijvcluilfmfpzbdauijdsyakbdzmtsnxzhaxssyzostvyplsjvbpzchpcojneeptqjokuopylydbxhuiquotaooqfwtonrwkhfykvcubzlooqsoxhllcohcigtpdwctfufnuxbmetoktozladresceqnnefxolkbldbrzmaiwabaespwpuzjqbmvtlgoecglxzcxtqibfmvmtnwcpghfnyxvtodkbdbwxailzyqhwawkmslwxytnfsjozqdtwdxxswfkpnmjwboobsyobjmauyrkdtghprhrwmxdzzdorkrvtlskdeaxejccbdfqwndszhfeoujrdqltvfjocyppxwhxkhamhclrlyokwhqdpokkqwlqsprwbypkhvhwqobsqltsmsltceaebpjrzrvgxwqpukqoifwhxmvsvbxxuaqkdusqcowxvdbuvkgrazdhwfdvolapuzodjyrlivjauoaidgsbwcbecdfcwgswebygrzseerbcvpnvmblrrmjuquaniyw")
+
+
+    (* Grouping test cases *)
+    let suite = "Test Suite for minimumSubstringsInPartition" >::: [
+        
+  "test1" >:: test1;
+  "test2" >:: test2;
+  "test3" >:: test3;
+  "test4" >:: test4;
+  "test5" >:: test5;
+  "test6" >:: test6;
+  "test7" >:: test7;
+    ]
+
+
+    (* Running the tests *)
+    let () = run_test_tt_main suite
+end

minimum_substring_partition_of_equal_character_frequency/scala_tests/MySuite.scala

@@ -0,0 +1,32 @@
+
+class MySuite extends munit.FunSuite {
+  
+  test("test1") {
+    assertEquals(Main.minimumSubstringsInPartition("fabccddg"), 3)
+  }
+
+  test("test2") {
+    assertEquals(Main.minimumSubstringsInPartition("abababaccddb"), 2)
+  }
+
+  test("test3") {
+    assertEquals(Main.minimumSubstringsInPartition(",t,d,e,s,j,q,l,l,u,r,f,t,b,l,g,m,w,e,a,k,u,f,s,k,p,t,k,c,y,e,y,c,o,e,c,j,k,d,d,u,v,l,v,p,a,a,m,u,n,o,h,b,e,x,f,s,o,l,q,b,n,a,t,b,s,k,g,w,f,e,u,q,x,f,j,o,c,c,e,k,p,r,v,x,l,y,d,w,x,o,m,u,c,o,y,p,z,p,z,f,o,a,h,u,d,b,i,p,h,s,n,t,u,c,j,a,l,c,w,a,f,e,o,x,q,p,k,i,v,a,v,w,r,h,y,s,m,n,h,u,g,n,t,x,o,t,i,l,q,k,g,j,e,u,l,w,c,t,m,h,k,d,v,x,r,t,x,i,j,b,j,a,v,z,e,g,w,p,v,s,c,u,v,v,c,f,l,z,h,d,t,x,b,n,w,l,x,k,f,m,x,o,x,u,e,u,d,p,n,b,c,t,s,i,x,j,p,v,m,d,g,a,e,e,e,o,u,w,u,p,b,w,q,l,e,h,g,m,n,x,v,b,g,d,w,e,v,t,a,f,z,x,e,p,f,m,q,f,r,k,i,p,d,v,s,q,d,q,x,k,x,x,z,q,r,c,d,g,r,j,r,y,r,p,p,g,g,x,t,b,f,u,o,e,o,o,l,c,n,m,m,c,g,d,u,l,k,j,g,o,s,n,i,x,j,b,l,k,r,f,y,o,r,b,d,e,z,o,o,e,l,g,r,s,u,f,x,r,t,w,a,p,v,v,i,u,z,m,h,s,d,e,h,r,y,b,g,d,g,u,w,v,z,x,x,z,j,c,p,s,q,k,r,g,m,z,o,v,z,b,m,c,g,l,d,e,x,h,a,s,"), 61)
+  }
+
+  test("test4") {
+    assertEquals(Main.minimumSubstringsInPartition(",l,e,r,c,d,y,c,l,v,v,a,d,f,a,d,n,b,f,i,a,k,k,q,l,e,m,w,t,z,i,y,t,j,s,z,b,b,t,i,n,q,x,b,h,g,d,w,e,c,r,v,j,y,z,x,v,l,q,t,r,i,c,y,c,l,v,v,p,v,t,n,k,f,e,b,w,n,a,l,r,h,y,i,i,u,y,z,p,g,t,o,a,o,c,e,h,c,l,k,t,d,r,t,i,n,u,t,k,u,e,f,t,c,w,l,j,q,d,d,r,b,o,l,h,p,o,g,z,d,x,u,m,o,c,w,a,r,t,z,q,m,i,n,w,a,c,j,n,b,r,p,z,v,s,p,s,b,l,g,k,v,v,p,q,l,e,c,s,i,y,m,w,k,i,k,r,p,j,d,q,a,t,v,d,p,f,q,y,a,k,u,o,s,u,q,s,m,m,v,w,t,v,d,f,s,q,g,l,r,x,v,v,s,c,a,j,n,f,i,v,v,t,d,r,y,e,l,e,q,j,n,s,n,n,i,l,y,k,w,u,m,y,x,f,s,w,k,n,c,t,t,u,z,j,g,l,h,l,f,k,b,s,u,r,t,z,z,d,o,x,w,r,i,q,h,y,c,n,e,j,b,p,p,s,y,a,h,t,r,t,d,e,j,y,b,g,v,c,m,d,u,y,u,x,x,c,a,l,p,b,p,x,d,k,m,m,v,k,d,r,q,"), 48)
+  }
+
+  test("test5") {
+    assertEquals(Main.minimumSubstringsInPartition(",i,l,a,v,h,x,y,i,y,r,v,b,w,t,u,g,h,a,j,y,z,f,a,b,r,l,s,w,r,f,p,e,s,o,s,y,m,t,t,b,t,n,d,m,d,r,g,g,d,h,l,a,p,t,g,z,s,a,u,z,q,a,v,j,i,u,j,e,d,y,r,i,i,p,r,f,h,v,k,r,k,o,h,o,r,m,o,p,d,j,u,c,w,y,u,b,h,v,c,y,c,d,q,q,f,u,h,y,b,d,j,l,h,o,q,c,p,o,p,x,a,b,d,q,y,i,l,v,c,f,w,a,u,x,i,u,z,a,k,t,w,e,q,d,y,v,c,m,f,p,p,p,a,w,o,z,u,t,b,i,b,w,w,z,a,r,w,m,c,p,r,k,t,r,n,j,k,w,o,s,l,g,p,u,u,h,d,j,a,e,q,w,s,z,k,p,e,w,y,a,b,n,g,m,y,l,w,u,k,y,i,y,w,m,j,u,b,u,t,a,z,l,w,v,k,p,x,j,y,o,t,b,a,t,i,t,m,n,c,g,n,j,w,t,m,r,p,b,l,o,t,j,n,d,h,i,g,j,j,j,z,j,f,f,"), 43)
+  }
+
+  test("test6") {
+    assertEquals(Main.minimumSubstringsInPartition(",t,i,n,y,m,b,q,t,n,p,h,x,q,q,n,w,e,x,f,h,u,a,e,e,u,v,a,j,b,s,x,s,x,f,q,u,o,z,i,s,q,v,o,o,n,f,s,r,c,b,o,y,m,v,w,b,r,t,p,x,s,e,p,y,e,b,m,v,y,j,d,g,n,q,y,u,q,y,r,z,p,k,i,v,f,x,w,u,r,o,"), 14)
+  }
+
+  test("test7") {
+    assertEquals(Main.minimumSubstringsInPartition(",d,l,z,e,o,i,w,b,p,l,p,m,p,c,d,c,c,u,w,y,f,d,t,o,k,v,z,u,o,i,v,d,x,m,r,f,m,z,h,o,k,a,q,f,s,e,c,t,n,a,w,m,d,v,f,w,c,x,b,g,u,k,k,t,l,t,h,v,w,p,a,a,h,m,f,h,s,w,u,j,e,b,e,r,n,e,b,a,s,z,d,u,m,j,j,k,q,n,u,f,x,f,e,d,p,f,v,x,j,j,y,u,h,q,w,z,t,r,t,x,c,p,m,p,b,p,p,j,s,c,q,i,i,a,e,q,v,g,s,c,x,p,k,k,l,e,o,a,l,o,o,k,i,a,l,e,y,r,n,p,h,v,m,m,d,g,o,k,m,b,u,n,r,z,p,h,u,i,y,j,s,h,f,q,b,b,g,w,y,o,u,z,r,c,k,y,i,j,v,c,l,u,i,l,f,m,f,p,z,b,d,a,u,i,j,d,s,y,a,k,b,d,z,m,t,s,n,x,z,h,a,x,s,s,y,z,o,s,t,v,y,p,l,s,j,v,b,p,z,c,h,p,c,o,j,n,e,e,p,t,q,j,o,k,u,o,p,y,l,y,d,b,x,h,u,i,q,u,o,t,a,o,o,q,f,w,t,o,n,r,w,k,h,f,y,k,v,c,u,b,z,l,o,o,q,s,o,x,h,l,l,c,o,h,c,i,g,t,p,d,w,c,t,f,u,f,n,u,x,b,m,e,t,o,k,t,o,z,l,a,d,r,e,s,c,e,q,n,n,e,f,x,o,l,k,b,l,d,b,r,z,m,a,i,w,a,b,a,e,s,p,w,p,u,z,j,q,b,m,v,t,l,g,o,e,c,g,l,x,z,c,x,t,q,i,b,f,m,v,m,t,n,w,c,p,g,h,f,n,y,x,v,t,o,d,k,b,d,b,w,x,a,i,l,z,y,q,h,w,a,w,k,m,s,l,w,x,y,t,n,f,s,j,o,z,q,d,t,w,d,x,x,s,w,f,k,p,n,m,j,w,b,o,o,b,s,y,o,b,j,m,a,u,y,r,k,d,t,g,h,p,r,h,r,w,m,x,d,z,z,d,o,r,k,r,v,t,l,s,k,d,e,a,x,e,j,c,c,b,d,f,q,w,n,d,s,z,h,f,e,o,u,j,r,d,q,l,t,v,f,j,o,c,y,p,p,x,w,h,x,k,h,a,m,h,c,l,r,l,y,o,k,w,h,q,d,p,o,k,k,q,w,l,q,s,p,r,w,b,y,p,k,h,v,h,w,q,o,b,s,q,l,t,s,m,s,l,t,c,e,a,e,b,p,j,r,z,r,v,g,x,w,q,p,u,k,q,o,i,f,w,h,x,m,v,s,v,b,x,x,u,a,q,k,d,u,s,q,c,o,w,x,v,d,b,u,v,k,g,r,a,z,d,h,w,f,d,v,o,l,a,p,u,z,o,d,j,y,r,l,i,v,j,a,u,o,a,i,d,g,s,b,w,c,b,e,c,d,f,c,w,g,s,w,e,b,y,g,r,z,s,e,e,r,b,c,v,p,n,v,m,b,l,r,r,m,j,u,q,u,a,n,i,y,w,"), 113)
+  }
+
+}