50a19bd61a8e7d30d85ac2c2db11e620c1d1b94f685189f815467ae2019aa291

.gitattributes

@@ -123,3 +123,4 @@ find_occurrences_of_an_element_in_an_array/meta.json filter=lfs diff=lfs merge=l
 find_subtree_sizes_after_changes/meta.json filter=lfs diff=lfs merge=lfs -text
 find_the_first_player_to_win_k_games_in_a_row/meta.json filter=lfs diff=lfs merge=lfs -text
 find_the_k_sum_of_an_array/meta.json filter=lfs diff=lfs merge=lfs -text
+find_the_longest_equal_subarray/meta.json filter=lfs diff=lfs merge=lfs -text

find_the_lexicographically_smallest_valid_sequence/java_tests/Main.java

@@ -0,0 +1,29 @@
+
+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(new ArrayList<>(Arrays.asList(0,1,2)), validSequence("vbcca", "abc"));
+}
+@Test
+public void test2() {
+    assertEquals(new ArrayList<>(Arrays.asList(1,2,4)), validSequence("bacdc", "abc"));
+}
+@Test
+public void test3() {
+    assertEquals([], validSequence("aaaaaa", "aaabc"));
+}
+@Test
+public void test4() {
+    assertEquals([0,1, validSequence("abc", "ab"));
+}
+
+}

find_the_longest_balanced_substring_of_a_binary_string/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 (findTheLongestBalancedSubstring \"01000111 \")," 6 (findTheLongestBalancedSubstring "01000111"))
+
+test2 :: Test
+test2 = TestCase (assertEqual "for (findTheLongestBalancedSubstring \"00111 \")," 4 (findTheLongestBalancedSubstring "00111"))
+
+test3 :: Test
+test3 = TestCase (assertEqual "for (findTheLongestBalancedSubstring \"111 \")," 0 (findTheLongestBalancedSubstring "111"))
+
+
+-- Grouping test cases
+tests :: Test
+tests = TestList [TestLabel "Test1" test1, TestLabel "Test2" test2]
+
+-- Running the tests
+main :: IO Counts
+main = runTestTT tests

find_the_longest_balanced_substring_of_a_binary_string/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(6, findTheLongestBalancedSubstring("01000111"));
+}
+@Test
+public void test2() {
+    assertEquals(4, findTheLongestBalancedSubstring("00111"));
+}
+@Test
+public void test3() {
+    assertEquals(0, findTheLongestBalancedSubstring("111"));
+}
+
+}

find_the_longest_balanced_substring_of_a_binary_string/meta.json

@@ -0,0 +1,92 @@
+{
+    "id": 2723,
+    "name": "find_the_longest_balanced_substring_of_a_binary_string",
+    "difficulty": "Easy",
+    "link": "https://leetcode.com/problems/find-the-longest-balanced-substring-of-a-binary-string/",
+    "date": "1679788800000",
+    "task_description": "You are given a binary string `s` consisting only of zeroes and ones. A substring of `s` is considered balanced if** all zeroes are before ones** and the number of zeroes is equal to the number of ones inside the substring. Notice that the empty substring is considered a balanced substring. Return _the length of the longest balanced substring of _`s`. A substring is a contiguous sequence of characters within a string. **Example 1:** ``` **Input:** s = \"01000111\" **Output:** 6 **Explanation:** The longest balanced substring is \"000111\", which has length 6. ``` **Example 2:** ``` **Input:** s = \"00111\" **Output:** 4 **Explanation:** The longest balanced substring is \"0011\", which has length 4. ``` **Example 3:** ``` **Input:** s = \"111\" **Output:** 0 **Explanation:** There is no balanced substring except the empty substring, so the answer is 0. ``` **Constraints:** `1 <= s.length <= 50` `'0' <= s[i] <= '1'`",
+    "public_test_cases": [
+        {
+            "label": "Example 1",
+            "input": "s = \"01000111\"",
+            "output": "6 "
+        },
+        {
+            "label": "Example 2",
+            "input": "s = \"00111\"",
+            "output": "4 "
+        },
+        {
+            "label": "Example 3",
+            "input": "s = \"111\"",
+            "output": "0 "
+        }
+    ],
+    "private_test_cases": [
+        {
+            "input": [
+                "\"00010000101000110\""
+            ],
+            "output": 4
+        },
+        {
+            "input": [
+                "\"000110\""
+            ],
+            "output": 4
+        },
+        {
+            "input": [
+                "\"0001111001101010111010010010101001\""
+            ],
+            "output": 6
+        },
+        {
+            "input": [
+                "\"011101011001111111110\""
+            ],
+            "output": 4
+        },
+        {
+            "input": [
+                "\"00101010010110000110000100001011\""
+            ],
+            "output": 4
+        },
+        {
+            "input": [
+                "\"0110001101110011000100100011001101001\""
+            ],
+            "output": 4
+        },
+        {
+            "input": [
+                "011101010"
+            ],
+            "output": 2
+        },
+        {
+            "input": [
+                "010111011111001101000110110011110"
+            ],
+            "output": 4
+        },
+        {
+            "input": [
+                "101110001011010111011"
+            ],
+            "output": 2
+        },
+        {
+            "input": [
+                "101101101111100000"
+            ],
+            "output": 2
+        }
+    ],
+    "haskell_template": "findTheLongestBalancedSubstring :: String -> Int\nfindTheLongestBalancedSubstring s ",
+    "ocaml_template": "let findTheLongestBalancedSubstring (s: string) : int =  ",
+    "scala_template": "def findTheLongestBalancedSubstring(s: String): Int = { \n    \n}",
+    "java_template": "public static int findTheLongestBalancedSubstring(String s) {\n\n}",
+    "python_template": "class Solution(object):\n    def findTheLongestBalancedSubstring(self, s):\n        \"\"\"\n        :type s: str\n        :rtype: int\n        \"\"\"\n        "
+}

find_the_longest_balanced_substring_of_a_binary_string/ocaml_tests/main.ml

@@ -0,0 +1,29 @@
+
+module Main = struct
+    open OUnit2
+
+    (* Program start *)
+
+    (* Program end *)
+
+    (* Test cases *)
+    
+let test1 _ = assert_equal 6 (findTheLongestBalancedSubstring "01000111")
+
+let test2 _ = assert_equal 4 (findTheLongestBalancedSubstring "00111")
+
+let test3 _ = assert_equal 0 (findTheLongestBalancedSubstring "111")
+
+
+    (* Grouping test cases *)
+    let suite = "Test Suite for findTheLongestBalancedSubstring" >::: [
+        
+  "test1" >:: test1;
+  "test2" >:: test2;
+  "test3" >:: test3;
+    ]
+
+
+    (* Running the tests *)
+    let () = run_test_tt_main suite
+end

find_the_longest_balanced_substring_of_a_binary_string/scala_tests/MySuite.scala

@@ -0,0 +1,16 @@
+
+class MySuite extends munit.FunSuite {
+  
+  test("test1") {
+    assertEquals(Main.findTheLongestBalancedSubstring("01000111"), 6)
+  }
+
+  test("test2") {
+    assertEquals(Main.findTheLongestBalancedSubstring("00111"), 4)
+  }
+
+  test("test3") {
+    assertEquals(Main.findTheLongestBalancedSubstring("111"), 0)
+  }
+
+}

find_the_longest_equal_subarray/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, longestEqualSubarray(new ArrayList<>(Arrays.asList(1,3,2,3,1,3)), 3));
+}
+@Test
+public void test2() {
+    assertEquals(4, longestEqualSubarray(new ArrayList<>(Arrays.asList(1,1,2,2,1,1)), 2));
+}
+
+}

find_the_longest_equal_subarray/meta.json

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a7c38621139f1572e116c84f4f6711e0a692d1498c26c913521931104e0ee273
+size 15149758

find_the_longest_semi_repetitive_substring/haskell_tests/Main.hs

@@ -0,0 +1,47 @@
+
+module Main where
+import Test.HUnit
+
+--Program start
+longestSemiRepetitiveSubstring :: String -> Int
+longestSemiRepetitiveSubstring s = undefined
+
+--Program end
+
+-- Test cases
+
+test1 :: Test
+test1 = TestCase (assertEqual "for (longestSemiRepetitiveSubstring \"52233 \")," 4 (longestSemiRepetitiveSubstring "52233"))
+
+test2 :: Test
+test2 = TestCase (assertEqual "for (longestSemiRepetitiveSubstring \"5494 \")," 4 (longestSemiRepetitiveSubstring "5494"))
+
+test3 :: Test
+test3 = TestCase (assertEqual "for (longestSemiRepetitiveSubstring \"1111111 \")," 2 (longestSemiRepetitiveSubstring "1111111"))
+
+test4 :: Test
+test4 = TestCase (assertEqual "for (longestSemiRepetitiveSubstring  \"800224406092326904284192442626098218931287187431 \")," 42 (longestSemiRepetitiveSubstring "800224406092326904284192442626098218931287187431"))
+
+test5 :: Test
+test5 = TestCase (assertEqual "for (longestSemiRepetitiveSubstring  \"82069083341368866002193339400441 \")," 14 (longestSemiRepetitiveSubstring "82069083341368866002193339400441"))
+
+test6 :: Test
+test6 = TestCase (assertEqual "for (longestSemiRepetitiveSubstring  \"5025542296885025828 \")," 12 (longestSemiRepetitiveSubstring "5025542296885025828"))
+
+test7 :: Test
+test7 = TestCase (assertEqual "for (longestSemiRepetitiveSubstring  \"4530164565084030141690 \")," 22 (longestSemiRepetitiveSubstring "4530164565084030141690"))
+
+test8 :: Test
+test8 = TestCase (assertEqual "for (longestSemiRepetitiveSubstring  \"7192337667651626882611322 \")," 13 (longestSemiRepetitiveSubstring "7192337667651626882611322"))
+
+test9 :: Test
+test9 = TestCase (assertEqual "for (longestSemiRepetitiveSubstring  \"8027412881409430111445840735378988310 \")," 17 (longestSemiRepetitiveSubstring "8027412881409430111445840735378988310"))
+
+
+-- 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

find_the_longest_semi_repetitive_substring/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(4, longestSemiRepetitiveSubstring("52233"));
+}
+@Test
+public void test2() {
+    assertEquals(4, longestSemiRepetitiveSubstring("5494"));
+}
+@Test
+public void test3() {
+    assertEquals(2, longestSemiRepetitiveSubstring("1111111"));
+}
+
+}

find_the_longest_semi_repetitive_substring/meta.json

@@ -0,0 +1,72 @@
+{
+    "id": 2786,
+    "name": "find_the_longest_semi_repetitive_substring",
+    "difficulty": "Medium",
+    "link": "https://leetcode.com/problems/find-the-longest-semi-repetitive-substring/",
+    "date": "2023-05-27 00:00:00",
+    "task_description": "You are given a digit string `s` that consists of digits from 0 to 9. A string is called **semi-repetitive** if there is **at most** one adjacent pair of the same digit. For example, `\"0010\"`, `\"002020\"`, `\"0123\"`, `\"2002\"`, and `\"54944\"` are semi-repetitive while the following are not: `\"00101022\"` (adjacent same digit pairs are 00 and 22), and `\"1101234883\"` (adjacent same digit pairs are 11 and 88). Return the length of the **longest semi-repetitive substring** of `s`. **Example 1:** **Input:** s = \"52233\" **Output:** 4 **Explanation:** The longest semi-repetitive substring is \"5223\". Picking the whole string \"52233\" has two adjacent same digit pairs 22 and 33, but at most one is allowed. **Example 2:** **Input:** s = \"5494\" **Output:** 4 **Explanation:** `s` is a semi-repetitive string. **Example 3:** **Input:** s = \"1111111\" **Output:** 2 **Explanation:** The longest semi-repetitive substring is \"11\". Picking the substring \"111\" has two adjacent same digit pairs, but at most one is allowed. **Constraints:** `1 <= s.length <= 50` `'0' <= s[i] <= '9'`",
+    "public_test_cases": [
+        {
+            "label": "Example 1",
+            "input": "s = \"52233\"",
+            "output": "4 "
+        },
+        {
+            "label": "Example 2",
+            "input": "s = \"5494\"",
+            "output": "4 "
+        },
+        {
+            "label": "Example 3",
+            "input": "s = \"1111111\"",
+            "output": "2 "
+        }
+    ],
+    "private_test_cases": [
+        {
+            "input": "800224406092326904284192442626098218931287187431",
+            "output": 42
+        },
+        {
+            "input": "82069083341368866002193339400441",
+            "output": 14
+        },
+        {
+            "input": "5025542296885025828",
+            "output": 12
+        },
+        {
+            "input": "4530164565084030141690",
+            "output": 22
+        },
+        {
+            "input": "7192337667651626882611322",
+            "output": 13
+        },
+        {
+            "input": "8027412881409430111445840735378988310",
+            "output": 17
+        },
+        {
+            "input": "135433309636053",
+            "output": 10
+        },
+        {
+            "input": "378129559558437",
+            "output": 10
+        },
+        {
+            "input": "3820",
+            "output": 4
+        },
+        {
+            "input": "36873498932897249729768516",
+            "output": 26
+        }
+    ],
+    "haskell_template": "longestSemiRepetitiveSubstring :: String -> Int\nlongestSemiRepetitiveSubstring s ",
+    "ocaml_template": "let longestSemiRepetitiveSubstring (s: string) : int =  ",
+    "scala_template": "def longestSemiRepetitiveSubstring(s: String): Int = { \n    \n}",
+    "java_template": "class Solution {\n    public int longestSemiRepetitiveSubstring(String s) {\n        \n    }\n}",
+    "python_template": "class Solution(object):\n    def longestSemiRepetitiveSubstring(self, s):\n        \"\"\"\n        :type s: str\n        :rtype: int\n        \"\"\"\n        "
+}

find_the_longest_semi_repetitive_substring/ocaml_tests/main.ml

@@ -0,0 +1,51 @@
+
+module Main = struct
+    open OUnit2
+
+    (* Program start *)
+    let longestSemiRepetitiveSubstring (s: string) : int =   failwith "Not implemented"
+
+    (* Program end *)
+
+    (* Test cases *)
+    
+let test1 _ = assert_equal 4 (longestSemiRepetitiveSubstring "52233")
+
+let test2 _ = assert_equal 4 (longestSemiRepetitiveSubstring "5494")
+
+let test3 _ = assert_equal 2 (longestSemiRepetitiveSubstring "1111111")
+
+let test4 _ = assert_equal 2 (longestSemiRepetitiveSubstring "800224406092326904284192442626098218931287187431")
+
+let test5 _ = assert_equal 2 (longestSemiRepetitiveSubstring "82069083341368866002193339400441")
+
+let test6 _ = assert_equal 2 (longestSemiRepetitiveSubstring "5025542296885025828")
+
+let test7 _ = assert_equal 2 (longestSemiRepetitiveSubstring "4530164565084030141690")
+
+let test8 _ = assert_equal 2 (longestSemiRepetitiveSubstring "7192337667651626882611322")
+
+let test9 _ = assert_equal 2 (longestSemiRepetitiveSubstring "8027412881409430111445840735378988310")
+
+let test10 _ = assert_equal 2 (longestSemiRepetitiveSubstring "135433309636053")
+
+
+    (* Grouping test cases *)
+    let suite = "Test Suite for longestSemiRepetitiveSubstring" >::: [
+        
+  "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

find_the_longest_semi_repetitive_substring/scala_tests/MySuite.scala

@@ -0,0 +1,44 @@
+
+class MySuite extends munit.FunSuite {
+  
+  test("test1") {
+    assertEquals(Main.longestSemiRepetitiveSubstring("52233"), 4)
+  }
+
+  test("test2") {
+    assertEquals(Main.longestSemiRepetitiveSubstring("5494"), 4)
+  }
+
+  test("test3") {
+    assertEquals(Main.longestSemiRepetitiveSubstring("1111111"), 2)
+  }
+
+  test("test4") {
+    assertEquals(Main.longestSemiRepetitiveSubstring(",8,0,0,2,2,4,4,0,6,0,9,2,3,2,6,9,0,4,2,8,4,1,9,2,4,4,2,6,2,6,0,9,8,2,1,8,9,3,1,2,8,7,1,8,7,4,3,1,"), 42)
+  }
+
+  test("test5") {
+    assertEquals(Main.longestSemiRepetitiveSubstring(",8,2,0,6,9,0,8,3,3,4,1,3,6,8,8,6,6,0,0,2,1,9,3,3,3,9,4,0,0,4,4,1,"), 14)
+  }
+
+  test("test6") {
+    assertEquals(Main.longestSemiRepetitiveSubstring(",5,0,2,5,5,4,2,2,9,6,8,8,5,0,2,5,8,2,8,"), 12)
+  }
+
+  test("test7") {
+    assertEquals(Main.longestSemiRepetitiveSubstring(",4,5,3,0,1,6,4,5,6,5,0,8,4,0,3,0,1,4,1,6,9,0,"), 22)
+  }
+
+  test("test8") {
+    assertEquals(Main.longestSemiRepetitiveSubstring(",7,1,9,2,3,3,7,6,6,7,6,5,1,6,2,6,8,8,2,6,1,1,3,2,2,"), 13)
+  }
+
+  test("test9") {
+    assertEquals(Main.longestSemiRepetitiveSubstring(",8,0,2,7,4,1,2,8,8,1,4,0,9,4,3,0,1,1,1,4,4,5,8,4,0,7,3,5,3,7,8,9,8,8,3,1,0,"), 17)
+  }
+
+  test("test10") {
+    assertEquals(Main.longestSemiRepetitiveSubstring(",1,3,5,4,3,3,3,0,9,6,3,6,0,5,3,"), 10)
+  }
+
+}

find_the_losers_of_the_circular_game/haskell_tests/Main.hs

@@ -0,0 +1,45 @@
+
+module Main where
+import Test.HUnit
+
+--Program start
+
+--Program end
+
+-- Test cases
+
+test1 :: Test
+test1 = TestCase (assertEqual "for (circularGameLosers 5 2)," [4,5] (circularGameLosers 5 2))
+
+test2 :: Test
+test2 = TestCase (assertEqual "for (circularGameLosers 4 4)," [2,3,4] (circularGameLosers 4 4))
+
+test3 :: Test
+test3 = TestCase (assertEqual "for (circularGameLosers 10 1)," [3,5,6,8,9,10] (circularGameLosers 10 1))
+
+test4 :: Test
+test4 = TestCase (assertEqual "for (circularGameLosers 42 25)," [2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,24,27,28,30,31,32,33,35,36,37,38,39,42] (circularGameLosers 42 25))
+
+test5 :: Test
+test5 = TestCase (assertEqual "for (circularGameLosers 14 14)," [2,3,4,5,6,7,8,9,10,11,12,13,14] (circularGameLosers 14 14))
+
+test6 :: Test
+test6 = TestCase (assertEqual "for (circularGameLosers 34 24)," [2,4,6,7,8,10,11,12,13,14,16,17,18,19,20,22,23,24,26,28,30,31,32,33,34] (circularGameLosers 34 24))
+
+test7 :: Test
+test7 = TestCase (assertEqual "for (circularGameLosers 46 46)," [2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46] (circularGameLosers 46 46))
+
+test8 :: Test
+test8 = TestCase (assertEqual "for (circularGameLosers 4 1)," [] (circularGameLosers 4 1))
+
+test9 :: Test
+test9 = TestCase (assertEqual "for (circularGameLosers 5 5)," [2,3,4,5] (circularGameLosers 5 5))
+
+
+-- 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

find_the_losers_of_the_circular_game/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(new ArrayList<>(Arrays.asList(4,5)), circularGameLosers(5, 2));
+}
+@Test
+public void test2() {
+    assertEquals(new ArrayList<>(Arrays.asList(2,3,4)), circularGameLosers(4, 4));
+}
+
+}

find_the_losers_of_the_circular_game/meta.json

@@ -0,0 +1,285 @@
+{
+    "id": 2791,
+    "name": "find_the_losers_of_the_circular_game",
+    "difficulty": "Easy",
+    "link": "https://leetcode.com/problems/find-the-losers-of-the-circular-game/",
+    "date": "2023-05-07 00:00:00",
+    "task_description": "There are `n` friends that are playing a game. The friends are sitting in a circle and are numbered from `1` to `n` in **clockwise order**. More formally, moving clockwise from the `ith` friend brings you to the `(i+1)th` friend for `1 <= i < n`, and moving clockwise from the `nth` friend brings you to the `1st` friend. The rules of the game are as follows: `1st` friend receives the ball. After that, `1st` friend passes it to the friend who is `k` steps away from them in the **clockwise** direction. After that, the friend who receives the ball should pass it to the friend who is `2 * k` steps away from them in the **clockwise** direction. After that, the friend who receives the ball should pass it to the friend who is `3 * k` steps away from them in the **clockwise** direction, and so on and so forth. In other words, on the `ith` turn, the friend holding the ball should pass it to the friend who is `i * k` steps away from them in the **clockwise** direction. The game is finished when some friend receives the ball for the second time. The **losers** of the game are friends who did not receive the ball in the entire game. Given the number of friends, `n`, and an integer `k`, return _the array answer, which contains the losers of the game in the **ascending** order_. **Example 1:** ``` **Input:** n = 5, k = 2 **Output:** [4,5] **Explanation:** The game goes as follows: 1) Start at 1st friend and pass the ball to the friend who is 2 steps away from them - 3rd friend. 2) 3rd friend passes the ball to the friend who is 4 steps away from them - 2nd friend. 3) 2nd friend passes the ball to the friend who is 6 steps away from them - 3rd friend. 4) The game ends as 3rd friend receives the ball for the second time. ``` **Example 2:** ``` **Input:** n = 4, k = 4 **Output:** [2,3,4] **Explanation:** The game goes as follows: 1) Start at the 1st friend and pass the ball to the friend who is 4 steps away from them - 1st friend. 2) The game ends as 1st friend receives the ball for the second time. ``` **Constraints:** `1 <= k <= n <= 50`",
+    "public_test_cases": [
+        {
+            "label": "Example 1",
+            "input": "n = 5, k = 2",
+            "output": "[4,5] "
+        },
+        {
+            "label": "Example 2",
+            "input": "n = 4, k = 4",
+            "output": "[2,3,4] "
+        }
+    ],
+    "private_test_cases": [
+        {
+            "input": [
+                10,
+                1
+            ],
+            "output": [
+                3,
+                5,
+                6,
+                8,
+                9,
+                10
+            ]
+        },
+        {
+            "input": [
+                42,
+                25
+            ],
+            "output": [
+                2,
+                3,
+                4,
+                5,
+                6,
+                7,
+                8,
+                9,
+                10,
+                11,
+                12,
+                13,
+                14,
+                15,
+                16,
+                17,
+                18,
+                20,
+                21,
+                23,
+                24,
+                27,
+                28,
+                30,
+                31,
+                32,
+                33,
+                35,
+                36,
+                37,
+                38,
+                39,
+                42
+            ]
+        },
+        {
+            "input": [
+                14,
+                14
+            ],
+            "output": [
+                2,
+                3,
+                4,
+                5,
+                6,
+                7,
+                8,
+                9,
+                10,
+                11,
+                12,
+                13,
+                14
+            ]
+        },
+        {
+            "input": [
+                34,
+                24
+            ],
+            "output": [
+                2,
+                4,
+                6,
+                7,
+                8,
+                10,
+                11,
+                12,
+                13,
+                14,
+                16,
+                17,
+                18,
+                19,
+                20,
+                22,
+                23,
+                24,
+                26,
+                28,
+                30,
+                31,
+                32,
+                33,
+                34
+            ]
+        },
+        {
+            "input": [
+                46,
+                46
+            ],
+            "output": [
+                2,
+                3,
+                4,
+                5,
+                6,
+                7,
+                8,
+                9,
+                10,
+                11,
+                12,
+                13,
+                14,
+                15,
+                16,
+                17,
+                18,
+                19,
+                20,
+                21,
+                22,
+                23,
+                24,
+                25,
+                26,
+                27,
+                28,
+                29,
+                30,
+                31,
+                32,
+                33,
+                34,
+                35,
+                36,
+                37,
+                38,
+                39,
+                40,
+                41,
+                42,
+                43,
+                44,
+                45,
+                46
+            ]
+        },
+        {
+            "input": [
+                4,
+                1
+            ],
+            "output": []
+        },
+        {
+            "input": [
+                5,
+                5
+            ],
+            "output": [
+                2,
+                3,
+                4,
+                5
+            ]
+        },
+        {
+            "input": [
+                29,
+                1
+            ],
+            "output": [
+                3,
+                6,
+                10,
+                12,
+                13,
+                14,
+                15,
+                18,
+                20,
+                23,
+                24,
+                25,
+                26,
+                28
+            ]
+        },
+        {
+            "input": [
+                26,
+                19
+            ],
+            "output": [
+                2,
+                3,
+                4,
+                5,
+                7,
+                8,
+                12,
+                14,
+                15,
+                16,
+                17,
+                18,
+                19,
+                21,
+                22,
+                23,
+                24,
+                25
+            ]
+        },
+        {
+            "input": [
+                43,
+                12
+            ],
+            "output": [
+                4,
+                5,
+                6,
+                7,
+                8,
+                10,
+                11,
+                12,
+                15,
+                17,
+                20,
+                23,
+                24,
+                26,
+                28,
+                29,
+                33,
+                39,
+                40,
+                41,
+                43
+            ]
+        }
+    ],
+    "haskell_template": "circularGameLosers :: Int -> Int -> [Int]\ncircularGameLosers n k ",
+    "ocaml_template": "let circularGameLosers (n: int) (k: int) : int list =  ",
+    "scala_template": "def circularGameLosers(n: Int,k: Int): List[Int] = { \n    \n}",
+    "java_template": "class Solution {\n    public int[] circularGameLosers(int n, int k) {\n        \n    }\n}",
+    "python_template": "class Solution(object):\n    def circularGameLosers(self, n, k):\n        \"\"\"\n        :type n: int\n        :type k: int\n        :rtype: List[int]\n        \"\"\"\n        "
+}

find_the_losers_of_the_circular_game/ocaml_tests/main.ml

@@ -0,0 +1,50 @@
+
+module Main = struct
+    open OUnit2
+
+    (* Program start *)
+
+    (* Program end *)
+
+    (* Test cases *)
+    
+let test1 _ = assert_equal [4;5] (circularGameLosers 5 2)
+
+let test2 _ = assert_equal [2;3;4] (circularGameLosers 4 4)
+
+let test3 _ = assert_equal [3;5;6;8;9;10] (circularGameLosers 10 1)
+
+let test4 _ = assert_equal [2;3;4;5;6;7;8;9;10;11;12;13;14;15;16;17;18;20;21;23;24;27;28;30;31;32;33;35;36;37;38;39;42] (circularGameLosers 42 25)
+
+let test5 _ = assert_equal [2;3;4;5;6;7;8;9;10;11;12;13;14] (circularGameLosers 14 14)
+
+let test6 _ = assert_equal [2;4;6;7;8;10;11;12;13;14;16;17;18;19;20;22;23;24;26;28;30;31;32;33;34] (circularGameLosers 34 24)
+
+let test7 _ = assert_equal [2;3;4;5;6;7;8;9;10;11;12;13;14;15;16;17;18;19;20;21;22;23;24;25;26;27;28;29;30;31;32;33;34;35;36;37;38;39;40;41;42;43;44;45;46] (circularGameLosers 46 46)
+
+let test8 _ = assert_equal [] (circularGameLosers 4 1)
+
+let test9 _ = assert_equal [2;3;4;5] (circularGameLosers 5 5)
+
+let test10 _ = assert_equal [3;6;10;12;13;14;15;18;20;23;24;25;26;28] (circularGameLosers 29 1)
+
+
+    (* Grouping test cases *)
+    let suite = "Test Suite for circularGameLosers" >::: [
+        
+  "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

find_the_losers_of_the_circular_game/scala_tests/MySuite.scala

@@ -0,0 +1,44 @@
+
+class MySuite extends munit.FunSuite {
+  
+  test("test1") {
+    assertEquals(Main.circularGameLosers(5,2), List(4,5))
+  }
+
+  test("test2") {
+    assertEquals(Main.circularGameLosers(4,4), List(2,3,4))
+  }
+
+  test("test3") {
+    assertEquals(Main.circularGameLosers(10,1), List(3,5,6,8,9,10))
+  }
+
+  test("test4") {
+    assertEquals(Main.circularGameLosers(42,25), List(2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,24,27,28,30,31,32,33,35,36,37,38,39,42))
+  }
+
+  test("test5") {
+    assertEquals(Main.circularGameLosers(14,14), List(2,3,4,5,6,7,8,9,10,11,12,13,14))
+  }
+
+  test("test6") {
+    assertEquals(Main.circularGameLosers(34,24), List(2,4,6,7,8,10,11,12,13,14,16,17,18,19,20,22,23,24,26,28,30,31,32,33,34))
+  }
+
+  test("test7") {
+    assertEquals(Main.circularGameLosers(46,46), List(2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46))
+  }
+
+  test("test8") {
+    assertEquals(Main.circularGameLosers(4,1), List())
+  }
+
+  test("test9") {
+    assertEquals(Main.circularGameLosers(5,5), List(2,3,4,5))
+  }
+
+  test("test10") {
+    assertEquals(Main.circularGameLosers(29,1), List(3,6,10,12,13,14,15,18,20,23,24,25,26,28))
+  }
+
+}

find_the_maximum_achievable_number/haskell_tests/Main.hs

@@ -0,0 +1,45 @@
+
+module Main where
+import Test.HUnit
+
+--Program start
+
+--Program end
+
+-- Test cases
+
+test1 :: Test
+test1 = TestCase (assertEqual "for (theMaximumAchievableX 4 1)," 6 (theMaximumAchievableX 4 1))
+
+test2 :: Test
+test2 = TestCase (assertEqual "for (theMaximumAchievableX 3 2)," 7 (theMaximumAchievableX 3 2))
+
+test3 :: Test
+test3 = TestCase (assertEqual "for (theMaximumAchievableX 47 6)," 59 (theMaximumAchievableX 47 6))
+
+test4 :: Test
+test4 = TestCase (assertEqual "for (theMaximumAchievableX 3 45)," 93 (theMaximumAchievableX 3 45))
+
+test5 :: Test
+test5 = TestCase (assertEqual "for (theMaximumAchievableX 30 16)," 62 (theMaximumAchievableX 30 16))
+
+test6 :: Test
+test6 = TestCase (assertEqual "for (theMaximumAchievableX 39 46)," 131 (theMaximumAchievableX 39 46))
+
+test7 :: Test
+test7 = TestCase (assertEqual "for (theMaximumAchievableX 36 28)," 92 (theMaximumAchievableX 36 28))
+
+test8 :: Test
+test8 = TestCase (assertEqual "for (theMaximumAchievableX 47 4)," 55 (theMaximumAchievableX 47 4))
+
+test9 :: Test
+test9 = TestCase (assertEqual "for (theMaximumAchievableX 8 23)," 54 (theMaximumAchievableX 8 23))
+
+
+-- 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

find_the_maximum_achievable_number/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(6, theMaximumAchievableX(4, 1));
+}
+@Test
+public void test2() {
+    assertEquals(7, theMaximumAchievableX(3, 2));
+}
+
+}

find_the_maximum_achievable_number/meta.json

@@ -0,0 +1,97 @@
+{
+    "id": 2812,
+    "name": "find_the_maximum_achievable_number",
+    "difficulty": "Easy",
+    "link": "https://leetcode.com/problems/find-the-maximum-achievable-number/",
+    "date": "2023-07-02 00:00:00",
+    "task_description": "Given two integers, `num` and `t`. A **number **`x`** **is** achievable** if it can become equal to `num` after applying the following operation **at most** `t` times: Increase or decrease `x` by `1`, and _simultaneously_ increase or decrease `num` by `1`. Return the **maximum **possible value of `x`. **Example 1:** **Input:** num = 4, t = 1 **Output:** 6 **Explanation:** Apply the following operation once to make the maximum achievable number equal to `num`: Decrease the maximum achievable number by 1, and increase `num` by 1. **Example 2:** **Input:** num = 3, t = 2 **Output:** 7 **Explanation:** Apply the following operation twice to make the maximum achievable number equal to `num`: Decrease the maximum achievable number by 1, and increase `num` by 1. **Constraints:** `1 <= num, t <= 50`",
+    "public_test_cases": [
+        {
+            "label": "Example 1",
+            "input": "num = 4, t = 1",
+            "output": "6 "
+        },
+        {
+            "label": "Example 2",
+            "input": "num = 3, t = 2",
+            "output": "7 "
+        }
+    ],
+    "private_test_cases": [
+        {
+            "input": [
+                47,
+                6
+            ],
+            "output": 59
+        },
+        {
+            "input": [
+                3,
+                45
+            ],
+            "output": 93
+        },
+        {
+            "input": [
+                30,
+                16
+            ],
+            "output": 62
+        },
+        {
+            "input": [
+                39,
+                46
+            ],
+            "output": 131
+        },
+        {
+            "input": [
+                36,
+                28
+            ],
+            "output": 92
+        },
+        {
+            "input": [
+                47,
+                4
+            ],
+            "output": 55
+        },
+        {
+            "input": [
+                8,
+                23
+            ],
+            "output": 54
+        },
+        {
+            "input": [
+                3,
+                43
+            ],
+            "output": 89
+        },
+        {
+            "input": [
+                27,
+                33
+            ],
+            "output": 93
+        },
+        {
+            "input": [
+                39,
+                32
+            ],
+            "output": 103
+        }
+    ],
+    "haskell_template": "theMaximumAchievableX :: Int -> Int -> Int\ntheMaximumAchievableX num t ",
+    "ocaml_template": "let theMaximumAchievableX (num: int) (t: int) : int =  ",
+    "scala_template": "def theMaximumAchievableX(num: Int,t: Int): Int = { \n    \n}",
+    "java_template": "class Solution {\n    public int theMaximumAchievableX(int num, int t) {\n        \n    }\n}",
+    "python_template": "class Solution(object):\n    def theMaximumAchievableX(self, num, t):\n        \"\"\"\n        :type num: int\n        :type t: int\n        :rtype: int\n        \"\"\"\n        "
+}

find_the_maximum_achievable_number/ocaml_tests/main.ml

@@ -0,0 +1,50 @@
+
+module Main = struct
+    open OUnit2
+
+    (* Program start *)
+
+    (* Program end *)
+
+    (* Test cases *)
+    
+let test1 _ = assert_equal 6 (theMaximumAchievableX 4 1)
+
+let test2 _ = assert_equal 7 (theMaximumAchievableX 3 2)
+
+let test3 _ = assert_equal 59 (theMaximumAchievableX 47 6)
+
+let test4 _ = assert_equal 93 (theMaximumAchievableX 3 45)
+
+let test5 _ = assert_equal 62 (theMaximumAchievableX 30 16)
+
+let test6 _ = assert_equal 131 (theMaximumAchievableX 39 46)
+
+let test7 _ = assert_equal 92 (theMaximumAchievableX 36 28)
+
+let test8 _ = assert_equal 55 (theMaximumAchievableX 47 4)
+
+let test9 _ = assert_equal 54 (theMaximumAchievableX 8 23)
+
+let test10 _ = assert_equal 89 (theMaximumAchievableX 3 43)
+
+
+    (* Grouping test cases *)
+    let suite = "Test Suite for theMaximumAchievableX" >::: [
+        
+  "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

find_the_maximum_achievable_number/scala_tests/MySuite.scala

@@ -0,0 +1,44 @@
+
+class MySuite extends munit.FunSuite {
+  
+  test("test1") {
+    assertEquals(Main.theMaximumAchievableX(4,1), 6)
+  }
+
+  test("test2") {
+    assertEquals(Main.theMaximumAchievableX(3,2), 7)
+  }
+
+  test("test3") {
+    assertEquals(Main.theMaximumAchievableX(47,6), 59)
+  }
+
+  test("test4") {
+    assertEquals(Main.theMaximumAchievableX(3,45), 93)
+  }
+
+  test("test5") {
+    assertEquals(Main.theMaximumAchievableX(30,16), 62)
+  }
+
+  test("test6") {
+    assertEquals(Main.theMaximumAchievableX(39,46), 131)
+  }
+
+  test("test7") {
+    assertEquals(Main.theMaximumAchievableX(36,28), 92)
+  }
+
+  test("test8") {
+    assertEquals(Main.theMaximumAchievableX(47,4), 55)
+  }
+
+  test("test9") {
+    assertEquals(Main.theMaximumAchievableX(8,23), 54)
+  }
+
+  test("test10") {
+    assertEquals(Main.theMaximumAchievableX(3,43), 89)
+  }
+
+}

find_the_maximum_divisibility_score/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 (maxDivScore [2,9,15,50] [5,3,7,2])," 2 (maxDivScore [2,9,15,50] [5,3,7,2]))
+
+test2 :: Test
+test2 = TestCase (assertEqual "for (maxDivScore [4,7,9,3,9] [5,2,3])," 3 (maxDivScore [4,7,9,3,9] [5,2,3]))
+
+test3 :: Test
+test3 = TestCase (assertEqual "for (maxDivScore [20,14,21,10] [10,16,20])," 10 (maxDivScore [20,14,21,10] [10,16,20]))
+
+
+-- Grouping test cases
+tests :: Test
+tests = TestList [TestLabel "Test1" test1, TestLabel "Test2" test2]
+
+-- Running the tests
+main :: IO Counts
+main = runTestTT tests

find_the_maximum_divisibility_score/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, maxDivScore(new ArrayList<>(Arrays.asList(2,9,15,50)), new ArrayList<>(Arrays.asList(5,3,7,2))));
+}
+@Test
+public void test2() {
+    assertEquals(3, maxDivScore(new ArrayList<>(Arrays.asList(4,7,9,3,9)), new ArrayList<>(Arrays.asList(5,2,3))));
+}
+@Test
+public void test3() {
+    assertEquals(10, maxDivScore(new ArrayList<>(Arrays.asList(20,14,21,10)), new ArrayList<>(Arrays.asList(10,16,20))));
+}
+
+}

find_the_maximum_divisibility_score/ocaml_tests/main.ml

@@ -0,0 +1,29 @@
+
+module Main = struct
+    open OUnit2
+
+    (* Program start *)
+
+    (* Program end *)
+
+    (* Test cases *)
+    
+let test1 _ = assert_equal 2 (maxDivScore [2;9;15;50] [5;3;7;2])
+
+let test2 _ = assert_equal 3 (maxDivScore [4;7;9;3;9] [5;2;3])
+
+let test3 _ = assert_equal 10 (maxDivScore [20;14;21;10] [10;16;20])
+
+
+    (* Grouping test cases *)
+    let suite = "Test Suite for maxDivScore" >::: [
+        
+  "test1" >:: test1;
+  "test2" >:: test2;
+  "test3" >:: test3;
+    ]
+
+
+    (* Running the tests *)
+    let () = run_test_tt_main suite
+end

find_the_maximum_divisibility_score/scala_tests/MySuite.scala

@@ -0,0 +1,16 @@
+
+class MySuite extends munit.FunSuite {
+  
+  test("test1") {
+    assertEquals(Main.maxDivScore(List(2,9,15,50),List(5,3,7,2)), 2)
+  }
+
+  test("test2") {
+    assertEquals(Main.maxDivScore(List(4,7,9,3,9),List(5,2,3)), 3)
+  }
+
+  test("test3") {
+    assertEquals(Main.maxDivScore(List(20,14,21,10),List(10,16,20)), 10)
+  }
+
+}

find_the_maximum_length_of_a_good_subsequence_i/haskell_tests/Main.hs

@@ -0,0 +1,45 @@
+
+module Main where
+import Test.HUnit
+
+--Program start
+
+--Program end
+
+-- Test cases
+
+test1 :: Test
+test1 = TestCase (assertEqual "for (maximumLength [1,2,1,1,3] 2)," 4 (maximumLength [1,2,1,1,3] 2))
+
+test2 :: Test
+test2 = TestCase (assertEqual "for (maximumLength [1,2,3,4,5,1] 0)," 2 (maximumLength [1,2,3,4,5,1] 0))
+
+test3 :: Test
+test3 = TestCase (assertEqual "for (maximumLength [33487469, 853196700, 508583567, 222097037, 261098452, 188012054, 961540644, 61212932, 15037773, 841097125, 12525542, 698705099, 369973008, 92835030, 468189131, 34148422, 580687421, 570566821, 738952593, 180225171, 919512242, 99783784, 425204860, 869457230, 404469514, 507286517, 185905194, 475848287, 567490953, 276861319, 115618801, 198885023, 78195956, 868047407, 828704823, 277822141, 528152647, 429059504, 198847876, 96584063, 240877916, 901365711, 516446494, 437684656, 765734979, 797685131, 431370848, 938336517, 568041453, 753525892, 977443993, 393213522, 665183860, 341164691, 885173771, 292144240, 362688963, 435157884, 799158529, 992337970, 291377882, 70212125, 740085897, 725729792, 565803853, 312378643, 548373143, 360751039, 451196075, 727176901, 805095909, 872955566, 929350237, 242334546, 214523895, 915147423, 578098350, 930167586, 897761330, 148274586, 367416565, 664847641, 722275601, 419879451, 997547266, 336404135, 699560214, 943663808, 423571499, 617199117, 947330997, 809209468, 798079300, 180475930, 99646714, 804391530, 347455668, 946783223, 914880392, 75100983, 725832068, 158225386, 992157753, 240948618, 947609519, 719608751, 775262320, 536867805, 119714960, 79319150, 792873002, 286087071, 19022943, 328363907, 732538568, 912457144, 975334806, 443207614, 536940420, 109373287, 924182716, 501305908, 85032470, 344350927, 835184090, 201928566, 66998189, 946158698, 881066162, 771616191, 71900078, 242619018, 138756453, 49348893, 553284692, 480485289, 503323713, 469473152, 911729932, 192672881, 315945519, 841821428, 877577124, 118650340, 799021764, 181762663, 391644005, 428532741, 274242895, 521472249, 932515039, 362200761, 643684951, 465953301, 760234216, 688956595, 823790102, 880317891, 720087970, 589862333, 693639300, 310685438, 107433866, 788125014, 623113991, 995926890, 164308186, 695870276, 116547502, 363599749, 108771651, 999020226, 513212465, 459019090, 198641889, 321381216, 197675, 440410330, 550548711, 512695542, 456196651, 212908375, 341285455, 882866009, 855721216, 166776550, 102169125, 634712393, 952280485, 814900567, 168724223, 667018749, 529617768, 709275051, 669667562, 100129221, 177210779, 428138415, 42907194, 166376059, 105392153, 139613470, 559725870, 521014552, 198477863, 711092633, 293926168, 153515338, 940899181, 545362491, 677734161, 5697569, 131349649, 524707944, 781502588, 979858072, 68950361, 805348411, 466231031, 435112989, 783476999, 254764697, 853396350, 929243358, 468382183, 663529870, 849437120, 561130145, 548588197, 676136929, 330928976, 885846542, 164388235, 967958142, 38247037, 463953934, 347360076, 995050699, 743574862, 683210867, 918944006, 970459141, 127854995, 988662628, 840629843, 112062233, 335501492, 912608621, 926468029, 545144992, 307778362, 767981405, 947513417, 281025337, 839230833, 795215533, 262480577, 538515965, 564432683, 101892992, 946834501, 448603415, 35287181, 668530827, 533095130, 16669636, 437967928, 31609116, 481480060, 960746244, 122751744, 124100679, 539213806, 366896015, 744434752, 629313621, 457167645, 275701834, 585755798, 129481485, 309735642, 646484951, 53708602, 651248907, 708064996, 112736000, 274006791, 594154331, 51446599, 519253736, 17702088, 744157317, 319575662, 848133481, 649938608, 930137559, 569860301, 323200898, 711859209, 241182967, 234054345, 882840128, 99742283, 335636269, 26185291, 910583828, 165643009, 533325241, 404037313, 829637648, 21547628, 72795736, 876953683, 468673893, 622650379, 533615749, 342343878, 651184748, 455998415, 990023260, 709242020, 148845447, 590094939, 549908446, 713848415, 554513168, 985056785, 606819211, 54145594, 87339142, 615328163, 302076645, 283071573, 272634690, 557009091, 114845885, 992191057, 524218932, 881413971, 944836739, 147344544, 373503446, 372904757, 727364693, 392538095, 220238128, 382685773, 533191650, 339399728, 686877685, 939274906, 73989668, 139028258, 657370317, 584871020, 5684839, 178541263, 195131290, 552754672, 596872011, 532769740, 354354765, 306588671, 542632927, 616890468, 84630307, 684256585, 266958682, 359174232, 170591596, 901103102, 940625309, 685913267, 339792519, 339471136, 125049040, 561697226, 695007544, 34492279, 498603652, 915994047, 646471502, 505889051, 142953890, 945443929, 126223611, 433889431, 466854560, 10320689, 533328459, 538754638, 773200198, 584450813, 34495612, 10320873, 290695904, 99406833, 364239123, 536695973, 346881538, 38096901, 837486993, 738761524, 116884667, 843859643, 180154682, 245936609, 897197094, 630949789, 153247778, 159250724, 919184705, 523682287, 414807889, 168669427, 828244050, 400082520, 60411377, 641318340, 759312668, 946509056, 593211437, 206895703, 816982160, 132939201, 411365896, 916204740, 184498912, 552085651, 760105753] 15)," 16 (maximumLength [33487469, 853196700, 508583567, 222097037, 261098452, 188012054, 961540644, 61212932, 15037773, 841097125, 12525542, 698705099, 369973008, 92835030, 468189131, 34148422, 580687421, 570566821, 738952593, 180225171, 919512242, 99783784, 425204860, 869457230, 404469514, 507286517, 185905194, 475848287, 567490953, 276861319, 115618801, 198885023, 78195956, 868047407, 828704823, 277822141, 528152647, 429059504, 198847876, 96584063, 240877916, 901365711, 516446494, 437684656, 765734979, 797685131, 431370848, 938336517, 568041453, 753525892, 977443993, 393213522, 665183860, 341164691, 885173771, 292144240, 362688963, 435157884, 799158529, 992337970, 291377882, 70212125, 740085897, 725729792, 565803853, 312378643, 548373143, 360751039, 451196075, 727176901, 805095909, 872955566, 929350237, 242334546, 214523895, 915147423, 578098350, 930167586, 897761330, 148274586, 367416565, 664847641, 722275601, 419879451, 997547266, 336404135, 699560214, 943663808, 423571499, 617199117, 947330997, 809209468, 798079300, 180475930, 99646714, 804391530, 347455668, 946783223, 914880392, 75100983, 725832068, 158225386, 992157753, 240948618, 947609519, 719608751, 775262320, 536867805, 119714960, 79319150, 792873002, 286087071, 19022943, 328363907, 732538568, 912457144, 975334806, 443207614, 536940420, 109373287, 924182716, 501305908, 85032470, 344350927, 835184090, 201928566, 66998189, 946158698, 881066162, 771616191, 71900078, 242619018, 138756453, 49348893, 553284692, 480485289, 503323713, 469473152, 911729932, 192672881, 315945519, 841821428, 877577124, 118650340, 799021764, 181762663, 391644005, 428532741, 274242895, 521472249, 932515039, 362200761, 643684951, 465953301, 760234216, 688956595, 823790102, 880317891, 720087970, 589862333, 693639300, 310685438, 107433866, 788125014, 623113991, 995926890, 164308186, 695870276, 116547502, 363599749, 108771651, 999020226, 513212465, 459019090, 198641889, 321381216, 197675, 440410330, 550548711, 512695542, 456196651, 212908375, 341285455, 882866009, 855721216, 166776550, 102169125, 634712393, 952280485, 814900567, 168724223, 667018749, 529617768, 709275051, 669667562, 100129221, 177210779, 428138415, 42907194, 166376059, 105392153, 139613470, 559725870, 521014552, 198477863, 711092633, 293926168, 153515338, 940899181, 545362491, 677734161, 5697569, 131349649, 524707944, 781502588, 979858072, 68950361, 805348411, 466231031, 435112989, 783476999, 254764697, 853396350, 929243358, 468382183, 663529870, 849437120, 561130145, 548588197, 676136929, 330928976, 885846542, 164388235, 967958142, 38247037, 463953934, 347360076, 995050699, 743574862, 683210867, 918944006, 970459141, 127854995, 988662628, 840629843, 112062233, 335501492, 912608621, 926468029, 545144992, 307778362, 767981405, 947513417, 281025337, 839230833, 795215533, 262480577, 538515965, 564432683, 101892992, 946834501, 448603415, 35287181, 668530827, 533095130, 16669636, 437967928, 31609116, 481480060, 960746244, 122751744, 124100679, 539213806, 366896015, 744434752, 629313621, 457167645, 275701834, 585755798, 129481485, 309735642, 646484951, 53708602, 651248907, 708064996, 112736000, 274006791, 594154331, 51446599, 519253736, 17702088, 744157317, 319575662, 848133481, 649938608, 930137559, 569860301, 323200898, 711859209, 241182967, 234054345, 882840128, 99742283, 335636269, 26185291, 910583828, 165643009, 533325241, 404037313, 829637648, 21547628, 72795736, 876953683, 468673893, 622650379, 533615749, 342343878, 651184748, 455998415, 990023260, 709242020, 148845447, 590094939, 549908446, 713848415, 554513168, 985056785, 606819211, 54145594, 87339142, 615328163, 302076645, 283071573, 272634690, 557009091, 114845885, 992191057, 524218932, 881413971, 944836739, 147344544, 373503446, 372904757, 727364693, 392538095, 220238128, 382685773, 533191650, 339399728, 686877685, 939274906, 73989668, 139028258, 657370317, 584871020, 5684839, 178541263, 195131290, 552754672, 596872011, 532769740, 354354765, 306588671, 542632927, 616890468, 84630307, 684256585, 266958682, 359174232, 170591596, 901103102, 940625309, 685913267, 339792519, 339471136, 125049040, 561697226, 695007544, 34492279, 498603652, 915994047, 646471502, 505889051, 142953890, 945443929, 126223611, 433889431, 466854560, 10320689, 533328459, 538754638, 773200198, 584450813, 34495612, 10320873, 290695904, 99406833, 364239123, 536695973, 346881538, 38096901, 837486993, 738761524, 116884667, 843859643, 180154682, 245936609, 897197094, 630949789, 153247778, 159250724, 919184705, 523682287, 414807889, 168669427, 828244050, 400082520, 60411377, 641318340, 759312668, 946509056, 593211437, 206895703, 816982160, 132939201, 411365896, 916204740, 184498912, 552085651, 760105753] 15))
+
+test4 :: Test
+test4 = TestCase (assertEqual "for (maximumLength [327533889, 516247971, 577104323, 102780451, 579472496, 369364708, 431811091, 851858081, 389227997, 223952808, 988636711, 83830649, 524947406, 296624356, 794995672, 30494355, 154348533, 476239988, 547576365, 263612981, 485307754, 747671126, 64210544, 376097964, 462275031, 535805711, 332753982, 213719903, 155924079, 248700945, 118826282, 706339812, 68349277, 991342323, 920746401, 960198240, 813243613, 188071477, 670184207, 532896855, 602914215, 239111400, 129822243, 141229165, 534580815, 897265516, 614935521, 939532753, 39963074, 740212020, 143222965, 941682425, 239582504, 35023687, 618015486, 959550922, 687895424, 625377189, 364408867, 809797648, 491284157, 453083882, 898959256, 481212322, 29091746, 138006074, 963762698, 270676830, 747466877, 113357505, 982113766, 495275050, 744041226, 718203434, 700072245, 787953956, 436075447, 864825218, 360097180, 311162304, 816051078, 948790181, 139380119, 462149183, 169921147, 526798940, 116044069, 79653034, 954140644, 293213000, 608576999, 230353388, 567365557, 705459268, 531247042, 35399870, 963947762, 136182401, 461889635, 951439775, 71938909, 887693320, 757989888, 26504625, 846479912, 577482890, 220016904, 233976519, 308152721, 4884715, 355167603, 92431841, 59412077, 498429636, 579318280, 91688022, 727082443, 71084239, 908856330, 22091108, 405709610, 715395797, 115454620, 271477677, 196837563, 429623851, 806161676, 289091831, 696564972, 775018977, 239704135, 54133936, 119278128, 742601516, 162977700, 259855912, 274770239, 252037593, 695813277, 614725042, 298612459, 792677903, 589370084, 912528150, 164707278, 386684390, 452820769, 79739724, 66572280, 824873930, 978713135, 881349725, 699001664, 327221414, 764367180, 533880754, 264285724, 857663714, 226843218, 933229505, 836864949, 540927216, 630071486, 2122958, 815381840, 874377121, 492304758, 200048732, 76507927, 700101808, 162237741, 674935054, 335425981, 406307331, 594448382, 758768471, 288734876, 312664328, 540664454, 779494011, 764656558, 861823605, 118903129, 398326761, 375758584, 380806694, 794475795, 646547293, 145051162, 609252633, 760356685, 958660571, 435366240, 356814873, 95319712, 631444407, 596253847, 268340190, 211984765, 454532514, 459526641, 805932389, 448184761, 13543944, 894437555, 45432878, 442552418, 108165329, 487415069, 783710264, 695486933, 699450570, 293298646, 479220412, 684599590, 192970243, 840691084, 4532748, 741328011, 746395579, 966633259, 903804640, 465102945, 280361450, 321069891, 624057962, 239172920, 197561644, 380049568, 90222551, 625174874, 490379701, 173468021, 953184329, 301825571, 941534385, 995509963, 868449315, 557544885, 880302873, 872609724, 875626162, 370323425, 275468447, 882014552, 846735184, 120912352, 813721801, 862942875, 515699969, 683462384, 980903474, 546493687, 402300014, 319569533, 797130956, 387682284, 214646902, 719014383, 102095725, 196771211, 828165396, 672834365, 531011470, 880466295, 608158345, 338180323, 180965136, 73119784, 64083527, 955870955, 771887888, 139237899, 455198447, 6562309, 561603040, 799283563, 59075477, 858737286, 68016326, 634664588, 300951668, 452080386, 383475146, 603177201, 872135189, 261574971, 229884149, 858212769, 499701451, 910896731, 223956027, 432733575, 770157887, 773985892, 558621158, 560393168, 777160405, 961201142, 807882491, 124052476, 196881320, 324835681, 838853707, 43693124, 239058684, 334495096, 381139239, 96627701, 613545592, 633996771, 836870001, 768428858, 382469643, 986155908, 159381817, 97105863, 299264759, 594461108, 233236917, 540594617, 244787518, 482372949, 785387674, 380905759, 731791714, 994233002, 334093235, 778405573, 775330947, 232523002, 521892918, 8131144, 541091974, 18857695, 587779058, 250293641, 178083084, 86423929, 365187708, 964149610, 328603078, 112878336, 606064134, 568564713, 493936941, 187197854, 459298315, 656369139, 64328277, 910946197, 926708213, 458972942, 824338453, 74535004, 55485192, 776358670, 564155594, 801557247, 772983724, 484332312, 686814423, 479037180, 783501754, 602973511, 1190250, 671618996, 917218081, 727705466, 176448034, 410775860, 885939324, 615546497, 580229143, 491004073, 499090756, 93700586, 705077451, 356461710, 516001005, 464491977, 57107526, 224642742, 842112461, 523735846, 529283361, 854603821, 560169857, 328288389, 465414672, 603244321, 786147965, 90727648, 64912665, 849588797, 812698537, 318123651, 265457973, 885015284, 418024424, 731171952, 65881220, 944209527, 720974551, 630329426, 866558959, 983335744, 938155014, 731092367, 676946857, 97835678, 16879027, 438367860, 766950135, 959068162, 583347354, 295765171, 696414369, 333608526, 935312521, 470896333, 29352159, 435560878, 273366907, 880512691, 240984504, 844227469, 938755111, 478250003, 589565129, 669659749, 247563708, 465743085, 895565695, 285953710, 650504736, 909051770, 815902950, 302329404, 791140664, 445181926, 52880689, 390293386, 959655793, 7572577, 122794695, 668019901, 214190852, 289117876, 809299851, 263551854, 952412334, 104283184, 486898252, 757064092, 196239301, 792657494, 828373266, 201020664, 655715614, 526849548, 837378542, 902331101, 150169615, 755972704, 296301055, 708488534, 127290172, 713800725, 81776692, 938518356, 873893602, 140005476, 590412500, 398918946, 217348199, 914936754, 642424855, 609632831, 387869323, 123138584, 970088426, 445751710, 181422250, 39153244, 480323004, 707798403, 915125244, 715274485, 363189310, 290275849, 865152853, 559410316, 387501362, 753415746, 457757665] 21)," 22 (maximumLength [327533889, 516247971, 577104323, 102780451, 579472496, 369364708, 431811091, 851858081, 389227997, 223952808, 988636711, 83830649, 524947406, 296624356, 794995672, 30494355, 154348533, 476239988, 547576365, 263612981, 485307754, 747671126, 64210544, 376097964, 462275031, 535805711, 332753982, 213719903, 155924079, 248700945, 118826282, 706339812, 68349277, 991342323, 920746401, 960198240, 813243613, 188071477, 670184207, 532896855, 602914215, 239111400, 129822243, 141229165, 534580815, 897265516, 614935521, 939532753, 39963074, 740212020, 143222965, 941682425, 239582504, 35023687, 618015486, 959550922, 687895424, 625377189, 364408867, 809797648, 491284157, 453083882, 898959256, 481212322, 29091746, 138006074, 963762698, 270676830, 747466877, 113357505, 982113766, 495275050, 744041226, 718203434, 700072245, 787953956, 436075447, 864825218, 360097180, 311162304, 816051078, 948790181, 139380119, 462149183, 169921147, 526798940, 116044069, 79653034, 954140644, 293213000, 608576999, 230353388, 567365557, 705459268, 531247042, 35399870, 963947762, 136182401, 461889635, 951439775, 71938909, 887693320, 757989888, 26504625, 846479912, 577482890, 220016904, 233976519, 308152721, 4884715, 355167603, 92431841, 59412077, 498429636, 579318280, 91688022, 727082443, 71084239, 908856330, 22091108, 405709610, 715395797, 115454620, 271477677, 196837563, 429623851, 806161676, 289091831, 696564972, 775018977, 239704135, 54133936, 119278128, 742601516, 162977700, 259855912, 274770239, 252037593, 695813277, 614725042, 298612459, 792677903, 589370084, 912528150, 164707278, 386684390, 452820769, 79739724, 66572280, 824873930, 978713135, 881349725, 699001664, 327221414, 764367180, 533880754, 264285724, 857663714, 226843218, 933229505, 836864949, 540927216, 630071486, 2122958, 815381840, 874377121, 492304758, 200048732, 76507927, 700101808, 162237741, 674935054, 335425981, 406307331, 594448382, 758768471, 288734876, 312664328, 540664454, 779494011, 764656558, 861823605, 118903129, 398326761, 375758584, 380806694, 794475795, 646547293, 145051162, 609252633, 760356685, 958660571, 435366240, 356814873, 95319712, 631444407, 596253847, 268340190, 211984765, 454532514, 459526641, 805932389, 448184761, 13543944, 894437555, 45432878, 442552418, 108165329, 487415069, 783710264, 695486933, 699450570, 293298646, 479220412, 684599590, 192970243, 840691084, 4532748, 741328011, 746395579, 966633259, 903804640, 465102945, 280361450, 321069891, 624057962, 239172920, 197561644, 380049568, 90222551, 625174874, 490379701, 173468021, 953184329, 301825571, 941534385, 995509963, 868449315, 557544885, 880302873, 872609724, 875626162, 370323425, 275468447, 882014552, 846735184, 120912352, 813721801, 862942875, 515699969, 683462384, 980903474, 546493687, 402300014, 319569533, 797130956, 387682284, 214646902, 719014383, 102095725, 196771211, 828165396, 672834365, 531011470, 880466295, 608158345, 338180323, 180965136, 73119784, 64083527, 955870955, 771887888, 139237899, 455198447, 6562309, 561603040, 799283563, 59075477, 858737286, 68016326, 634664588, 300951668, 452080386, 383475146, 603177201, 872135189, 261574971, 229884149, 858212769, 499701451, 910896731, 223956027, 432733575, 770157887, 773985892, 558621158, 560393168, 777160405, 961201142, 807882491, 124052476, 196881320, 324835681, 838853707, 43693124, 239058684, 334495096, 381139239, 96627701, 613545592, 633996771, 836870001, 768428858, 382469643, 986155908, 159381817, 97105863, 299264759, 594461108, 233236917, 540594617, 244787518, 482372949, 785387674, 380905759, 731791714, 994233002, 334093235, 778405573, 775330947, 232523002, 521892918, 8131144, 541091974, 18857695, 587779058, 250293641, 178083084, 86423929, 365187708, 964149610, 328603078, 112878336, 606064134, 568564713, 493936941, 187197854, 459298315, 656369139, 64328277, 910946197, 926708213, 458972942, 824338453, 74535004, 55485192, 776358670, 564155594, 801557247, 772983724, 484332312, 686814423, 479037180, 783501754, 602973511, 1190250, 671618996, 917218081, 727705466, 176448034, 410775860, 885939324, 615546497, 580229143, 491004073, 499090756, 93700586, 705077451, 356461710, 516001005, 464491977, 57107526, 224642742, 842112461, 523735846, 529283361, 854603821, 560169857, 328288389, 465414672, 603244321, 786147965, 90727648, 64912665, 849588797, 812698537, 318123651, 265457973, 885015284, 418024424, 731171952, 65881220, 944209527, 720974551, 630329426, 866558959, 983335744, 938155014, 731092367, 676946857, 97835678, 16879027, 438367860, 766950135, 959068162, 583347354, 295765171, 696414369, 333608526, 935312521, 470896333, 29352159, 435560878, 273366907, 880512691, 240984504, 844227469, 938755111, 478250003, 589565129, 669659749, 247563708, 465743085, 895565695, 285953710, 650504736, 909051770, 815902950, 302329404, 791140664, 445181926, 52880689, 390293386, 959655793, 7572577, 122794695, 668019901, 214190852, 289117876, 809299851, 263551854, 952412334, 104283184, 486898252, 757064092, 196239301, 792657494, 828373266, 201020664, 655715614, 526849548, 837378542, 902331101, 150169615, 755972704, 296301055, 708488534, 127290172, 713800725, 81776692, 938518356, 873893602, 140005476, 590412500, 398918946, 217348199, 914936754, 642424855, 609632831, 387869323, 123138584, 970088426, 445751710, 181422250, 39153244, 480323004, 707798403, 915125244, 715274485, 363189310, 290275849, 865152853, 559410316, 387501362, 753415746, 457757665] 21))
+
+test5 :: Test
+test5 = TestCase (assertEqual "for (maximumLength [63065717, 310925130, 123681352, 418252036, 455925266, 848331954, 514920504, 926116127, 823866862, 745104358, 494800415, 972017751, 943666958, 458806, 227938603, 735223100, 688717024, 297682752, 71206098, 461866773, 612194775, 993980417, 118835691, 451667832, 53172588, 746247127, 990607879, 814031965, 467657654, 636665607, 981988704, 605396523, 202477330, 8406074, 74274772, 116003553, 102603765, 757367360, 292685632, 189891137, 653612534, 188352455, 806624900, 828176150, 159925719, 263424213, 694677233, 522612245, 198065972, 421243891, 789302712, 58198278, 575078912, 658376585, 891432173, 44671546, 941616686, 292875520, 876927014, 682858550, 942528013, 416491423, 4653487, 676555761, 2489297, 361846701, 686443358, 879875769, 91184601, 15439416, 558237173, 404140841, 631359651, 403414487, 103393750, 741274684, 546207955, 507600399, 562826389, 625457670, 477181692, 513302253, 876454335, 962370786, 465430109, 875410393, 681523014, 508882993, 734251846, 692760603, 376787886, 161882526, 658718628, 32642757, 317488330, 313581086, 624876775, 449477112, 612805515, 709078704, 376014080, 354660003, 676736234, 730047290, 10562672, 148014836, 760768774, 528567488, 869217498, 355676915, 122054706, 280415765, 712488264, 590404130, 21069838, 551110603, 313856070, 944892718, 728632982, 894098138, 939770583, 604837319, 924587415, 130286973, 489446560, 30407051, 396022255, 842936539, 322414686, 314582707, 226797374, 337026559, 309543384, 816976996, 956297634, 198350080, 556047734, 815917387, 14728176, 63749114, 345225320, 131354830, 61997083, 470355874, 859786431, 420649752, 656834306, 823363088, 854484404, 9346700, 597157723, 313812358, 119832585, 964021929, 105834742, 238318936, 966031671, 789654534, 389540161, 338015970, 164729724, 510634493, 68811418, 187593532, 934824704, 443021193, 832773862, 926839522, 376916994] 1)," 2 (maximumLength [63065717, 310925130, 123681352, 418252036, 455925266, 848331954, 514920504, 926116127, 823866862, 745104358, 494800415, 972017751, 943666958, 458806, 227938603, 735223100, 688717024, 297682752, 71206098, 461866773, 612194775, 993980417, 118835691, 451667832, 53172588, 746247127, 990607879, 814031965, 467657654, 636665607, 981988704, 605396523, 202477330, 8406074, 74274772, 116003553, 102603765, 757367360, 292685632, 189891137, 653612534, 188352455, 806624900, 828176150, 159925719, 263424213, 694677233, 522612245, 198065972, 421243891, 789302712, 58198278, 575078912, 658376585, 891432173, 44671546, 941616686, 292875520, 876927014, 682858550, 942528013, 416491423, 4653487, 676555761, 2489297, 361846701, 686443358, 879875769, 91184601, 15439416, 558237173, 404140841, 631359651, 403414487, 103393750, 741274684, 546207955, 507600399, 562826389, 625457670, 477181692, 513302253, 876454335, 962370786, 465430109, 875410393, 681523014, 508882993, 734251846, 692760603, 376787886, 161882526, 658718628, 32642757, 317488330, 313581086, 624876775, 449477112, 612805515, 709078704, 376014080, 354660003, 676736234, 730047290, 10562672, 148014836, 760768774, 528567488, 869217498, 355676915, 122054706, 280415765, 712488264, 590404130, 21069838, 551110603, 313856070, 944892718, 728632982, 894098138, 939770583, 604837319, 924587415, 130286973, 489446560, 30407051, 396022255, 842936539, 322414686, 314582707, 226797374, 337026559, 309543384, 816976996, 956297634, 198350080, 556047734, 815917387, 14728176, 63749114, 345225320, 131354830, 61997083, 470355874, 859786431, 420649752, 656834306, 823363088, 854484404, 9346700, 597157723, 313812358, 119832585, 964021929, 105834742, 238318936, 966031671, 789654534, 389540161, 338015970, 164729724, 510634493, 68811418, 187593532, 934824704, 443021193, 832773862, 926839522, 376916994] 1))
+
+test6 :: Test
+test6 = TestCase (assertEqual "for (maximumLength [756941236, 336028848, 626893475, 550698001, 971854899, 428738084, 85777754, 548985841, 91144920, 725266015, 957553852, 443913306, 851311890, 375149909, 954308523] 9)," 10 (maximumLength [756941236, 336028848, 626893475, 550698001, 971854899, 428738084, 85777754, 548985841, 91144920, 725266015, 957553852, 443913306, 851311890, 375149909, 954308523] 9))
+
+test7 :: Test
+test7 = TestCase (assertEqual "for (maximumLength [766550818, 906436068, 842322495, 227281452, 546244193, 189773691, 795345716, 511453600, 428630063, 961418767, 909775809, 518142035, 142534445, 226680739, 14413192, 684910958, 350747094, 389127842, 551048695, 793657350, 514009257, 453239520, 297339715, 440177720, 549564290, 424329874, 721028462, 606713685, 405675142, 987741638, 666065731, 151310381, 822718111, 379985957, 411154058, 96501175, 310975, 587251167, 362674533, 748464264, 293080142, 861078168, 151734041, 806969690, 190231325, 475906098, 889477668, 796745292, 918246299, 399060393, 308556458, 54469566, 163681224, 672154960, 285832376, 620610142, 19763462, 780109108, 879360573, 958960913, 319521755, 623380309, 850421875, 339734364, 997159471, 935970929, 600635208, 147745386, 476089764, 928409354, 535786394, 421126660, 111274516, 432185353, 951792615, 561316429, 97037209, 510429606, 525877163, 884159304, 994069797, 311633424, 809248713] 2)," 3 (maximumLength [766550818, 906436068, 842322495, 227281452, 546244193, 189773691, 795345716, 511453600, 428630063, 961418767, 909775809, 518142035, 142534445, 226680739, 14413192, 684910958, 350747094, 389127842, 551048695, 793657350, 514009257, 453239520, 297339715, 440177720, 549564290, 424329874, 721028462, 606713685, 405675142, 987741638, 666065731, 151310381, 822718111, 379985957, 411154058, 96501175, 310975, 587251167, 362674533, 748464264, 293080142, 861078168, 151734041, 806969690, 190231325, 475906098, 889477668, 796745292, 918246299, 399060393, 308556458, 54469566, 163681224, 672154960, 285832376, 620610142, 19763462, 780109108, 879360573, 958960913, 319521755, 623380309, 850421875, 339734364, 997159471, 935970929, 600635208, 147745386, 476089764, 928409354, 535786394, 421126660, 111274516, 432185353, 951792615, 561316429, 97037209, 510429606, 525877163, 884159304, 994069797, 311633424, 809248713] 2))
+
+test8 :: Test
+test8 = TestCase (assertEqual "for (maximumLength [952490193, 622824133, 405928692, 969859413, 684428934, 527325455, 702570155, 337574627, 262974955, 972088729, 760493400, 208402756, 804884365, 883811047, 202766874, 680462324, 197117370, 897661386, 964763892, 975624339, 190022513, 41623483, 881489084, 926446355, 937111479, 516549005, 943095584, 45071193, 941508674, 335830493, 672332714, 518202143, 344728266, 853173293, 654481635, 883186794, 182111010, 874779317, 259809566, 350500171, 21996490, 138172886, 33149981, 905939030, 880967170, 162631082, 690779254, 171705177, 60148845, 153349346, 231016524, 669854204, 990078914, 379547527, 225427609, 461733862, 950792765, 306844286, 838916862, 617619634, 113366257, 195139529, 178644292, 854626497, 813735119, 524831767, 987868428, 792158694, 215680803, 168326668, 266561687, 246337990, 850244976, 652963813, 551020658, 675151284, 287302927, 682223775, 166706773, 566852251, 870051567, 88649934, 27519439, 519872645, 604054227, 310761100, 895873308, 578176877, 841544488, 258382968, 529172209, 424840686, 776103022, 323771211, 812742172, 308777308, 816213377, 407441213, 659592279, 310723900, 148014994, 20538730, 347707113, 170627081, 174926814, 842764296, 842386439, 412289806, 656100529, 197657843, 65857197, 586281132, 299689428, 661496050, 105000136, 239112305, 741548195, 704117291, 582966355, 684316056, 421686477, 119749685, 818309916, 699931190, 204994751, 766688195, 501775473, 615870358, 278650568, 446224512, 286942104, 855451447, 436139024, 872066703, 281870388, 366134906, 326541827, 607697848, 91130137, 660226268, 386913644, 75261165, 447760221, 261876585, 430727981, 681608670, 209357432, 989718616, 254988008, 884267480, 170065820, 338193746, 657070222, 685710733, 604201755, 382647977, 405175889, 937286704, 719345831, 187746316, 432355951, 568682509, 768302292, 165254732, 317884011, 38705733, 158660679, 408464567, 706771625, 858558360, 857163329, 797128416, 335766767, 278690069, 642520218, 418103867, 947746893, 250383291, 303035276, 310504389, 653633116, 326452166, 869124008, 925886240, 606391113, 760226974, 364371596, 158674119, 991781019, 796930501, 2139061, 90881255, 581287506, 902007074, 234182494, 888690703, 374714881, 679248921, 291475262, 616486558, 876071114, 157497006, 616706784, 411985771, 770235817, 106016028, 142470056, 139870812, 559088009, 648754817, 288118115, 243289585, 929249213, 306472304, 556731590, 347185806, 124190710, 304809826, 942762975, 510726184, 578242639, 383719183, 205491035, 355234742, 981412363, 26629208, 823200445, 614848017, 492563982, 261348499, 411888102, 503595423, 687938954, 677425261, 199880165, 846656760, 400868850, 99655429, 476737261, 437481507, 663227830, 25406021, 419704593, 547192406, 651124877, 855495187, 743523172, 998216275, 96450354, 24427597, 53692975, 764580717, 683743595, 70135174, 860598696, 859326828, 594914209, 36855796, 591571002, 464736610, 129965077, 701568663, 846779480, 38900117, 126314493, 568276570, 401923199, 839766771, 287786203, 131958805, 557972122, 503621532, 16387294, 465006687, 533629310, 441575190, 760494056, 282865241, 625005456, 945830662, 709943732, 292221151, 179873840, 216336531, 536660633, 47776097, 793220905, 57487697, 173539575, 16443039, 221055679, 337504932, 11385936, 265110318, 819315490, 160577936, 186620220, 481355694, 410634094, 800948523, 348843218, 912895882, 43059167, 923562124, 831749585, 438843040, 157341496, 176461655, 943396961, 470460673, 309297065, 380421178, 352330482, 285531427, 756774034, 125517542, 920012345, 93108971] 1)," 2 (maximumLength [952490193, 622824133, 405928692, 969859413, 684428934, 527325455, 702570155, 337574627, 262974955, 972088729, 760493400, 208402756, 804884365, 883811047, 202766874, 680462324, 197117370, 897661386, 964763892, 975624339, 190022513, 41623483, 881489084, 926446355, 937111479, 516549005, 943095584, 45071193, 941508674, 335830493, 672332714, 518202143, 344728266, 853173293, 654481635, 883186794, 182111010, 874779317, 259809566, 350500171, 21996490, 138172886, 33149981, 905939030, 880967170, 162631082, 690779254, 171705177, 60148845, 153349346, 231016524, 669854204, 990078914, 379547527, 225427609, 461733862, 950792765, 306844286, 838916862, 617619634, 113366257, 195139529, 178644292, 854626497, 813735119, 524831767, 987868428, 792158694, 215680803, 168326668, 266561687, 246337990, 850244976, 652963813, 551020658, 675151284, 287302927, 682223775, 166706773, 566852251, 870051567, 88649934, 27519439, 519872645, 604054227, 310761100, 895873308, 578176877, 841544488, 258382968, 529172209, 424840686, 776103022, 323771211, 812742172, 308777308, 816213377, 407441213, 659592279, 310723900, 148014994, 20538730, 347707113, 170627081, 174926814, 842764296, 842386439, 412289806, 656100529, 197657843, 65857197, 586281132, 299689428, 661496050, 105000136, 239112305, 741548195, 704117291, 582966355, 684316056, 421686477, 119749685, 818309916, 699931190, 204994751, 766688195, 501775473, 615870358, 278650568, 446224512, 286942104, 855451447, 436139024, 872066703, 281870388, 366134906, 326541827, 607697848, 91130137, 660226268, 386913644, 75261165, 447760221, 261876585, 430727981, 681608670, 209357432, 989718616, 254988008, 884267480, 170065820, 338193746, 657070222, 685710733, 604201755, 382647977, 405175889, 937286704, 719345831, 187746316, 432355951, 568682509, 768302292, 165254732, 317884011, 38705733, 158660679, 408464567, 706771625, 858558360, 857163329, 797128416, 335766767, 278690069, 642520218, 418103867, 947746893, 250383291, 303035276, 310504389, 653633116, 326452166, 869124008, 925886240, 606391113, 760226974, 364371596, 158674119, 991781019, 796930501, 2139061, 90881255, 581287506, 902007074, 234182494, 888690703, 374714881, 679248921, 291475262, 616486558, 876071114, 157497006, 616706784, 411985771, 770235817, 106016028, 142470056, 139870812, 559088009, 648754817, 288118115, 243289585, 929249213, 306472304, 556731590, 347185806, 124190710, 304809826, 942762975, 510726184, 578242639, 383719183, 205491035, 355234742, 981412363, 26629208, 823200445, 614848017, 492563982, 261348499, 411888102, 503595423, 687938954, 677425261, 199880165, 846656760, 400868850, 99655429, 476737261, 437481507, 663227830, 25406021, 419704593, 547192406, 651124877, 855495187, 743523172, 998216275, 96450354, 24427597, 53692975, 764580717, 683743595, 70135174, 860598696, 859326828, 594914209, 36855796, 591571002, 464736610, 129965077, 701568663, 846779480, 38900117, 126314493, 568276570, 401923199, 839766771, 287786203, 131958805, 557972122, 503621532, 16387294, 465006687, 533629310, 441575190, 760494056, 282865241, 625005456, 945830662, 709943732, 292221151, 179873840, 216336531, 536660633, 47776097, 793220905, 57487697, 173539575, 16443039, 221055679, 337504932, 11385936, 265110318, 819315490, 160577936, 186620220, 481355694, 410634094, 800948523, 348843218, 912895882, 43059167, 923562124, 831749585, 438843040, 157341496, 176461655, 943396961, 470460673, 309297065, 380421178, 352330482, 285531427, 756774034, 125517542, 920012345, 93108971] 1))
+
+test9 :: Test
+test9 = TestCase (assertEqual "for (maximumLength [166136514, 121501069, 819268421, 996909151, 666575839, 541443609, 7706451, 89798190, 975854495, 614031739, 789100479, 766517129, 943463720, 515084327, 163189379, 299070968, 245046802, 568034583, 268509159, 65891607, 354398193, 337134547, 974949739, 420157853, 110734465, 584545525, 514621850, 58185804, 830790963, 638219138, 82116660, 400356349, 498820256, 753164558, 579431294, 828544930, 256711179, 610891435, 367244257, 685012844, 153075263, 538925394, 151492281, 710294327, 946494292, 553565834, 31085508, 126512892, 644412249, 990248268, 737915622, 276941384, 191702591, 347433388, 767424495, 286791323, 688214920, 198524829, 102207523, 490530977, 661413988, 844298633, 640323442, 645885918, 369474665, 947582676, 811528952, 560202399, 201335332, 255442212, 918206560, 155086256, 461260585, 794465266, 294977082, 72359748, 434821860, 658021083, 133006978, 927209129, 268765584, 509281534, 822799342, 75194648, 925599283, 360458811, 756438750, 623837200, 881244020, 756356446, 968138490, 369084318, 134761876, 661448279, 565063531, 404410547, 610392398, 604820171, 935286640, 920067740, 444678795, 167417564, 258321288, 997296436, 220987238, 279059743, 187367765, 859448591, 564039123, 803408975, 150042322, 307671736, 696614477, 773298090, 181979755, 914018993, 198946164, 11556104, 257168447, 526341545, 341262481, 235727325, 838260040, 272657750, 977373789, 668955751, 650533716, 190754684, 871925241, 877718267, 565264642, 824672096, 626516766, 691952762, 921668768, 963325328, 315535461, 355893231, 143284008, 606082896, 510934338, 777389586, 753382270, 589212639, 462838388, 242968002, 109712214, 704028498, 573432950, 560850912, 341558848, 416310414, 246570536, 303323128, 292033142, 563160363, 923212087, 794937067, 14238289, 816347668, 437582650, 154506393, 916642905, 597771193, 947233003, 907165070, 628268892, 649413096, 457463638, 634737676, 2787027, 136051403, 60721945, 87802610, 778465317, 945642013, 482146092, 120346448, 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781749220, 603187886, 124113316, 976540496, 768526445, 314799244, 812189464, 848042097, 562988395, 552631348, 116343573, 311047215, 802477476, 25783868, 64758483, 762917256, 250783758, 349671753, 554733767, 822715501, 900225346, 993082454, 514054420, 93504178, 84785904, 885832003, 145504473, 14400156, 972462806, 810591134, 568145125, 503794692, 939394406, 505714897, 18161315, 878436240, 473028339, 715541534, 975710752, 326260536, 50535073, 717069971, 167846524, 337841543, 100105267, 128371237, 949255911, 541698001, 570915335, 994888439, 888608531, 225067188, 485253240, 845071026, 889345603, 148535663, 923640144, 490807026, 998127812, 668018654, 876737264, 856070707, 966640000, 795372492, 730738997, 665884011, 639572103, 479425357, 30264519, 14925560, 731607145, 555132512, 177762943, 867419666, 598267225, 82695330, 765158109, 852209747, 59531094, 383478657, 963053183, 486942850, 880301481, 990343091, 713165975, 979571552, 527767876, 494375359, 199999618, 497690433, 919511247, 219064159, 54727708, 953021243, 504913329, 148395691, 840027895, 171471158, 243503127, 74473955, 443917113, 965775598, 709361068, 904814778, 648747792, 578243609, 680863160, 118153912, 700015204, 408876381, 138818429, 945013685, 611303397, 910824155, 317464717, 775019256, 725922803, 805356655, 32843994, 296785762, 322565856, 553444737, 554023185, 921946658, 655494293, 620103803, 61503902, 193096132, 148945455, 111163159, 484521864, 508885384, 486583549, 59757825, 979514899, 210731982, 130298360, 293533965, 326488262, 590399197, 292468128, 717267658, 360219071, 465181876, 765442431, 439752474, 162929690, 379128370, 278202430, 24279301, 350194618, 737572087, 584283061, 518603933, 82904376, 995452992, 395601185, 11320160, 29970360, 20311332, 50070865, 440709407, 18290907, 946070021, 152942281, 20921611, 689354440, 950701007, 456558546, 55135046, 909387311, 863846994, 561247584, 305014499, 404176119, 290598320, 234715431, 525227679, 980417944, 299917218, 619987345, 918661705, 590221155, 739336537, 167855991, 65662443, 131542406, 968720310, 245793016, 797203815, 720707468, 538861745, 805627716, 410229618, 558947018, 991033192, 743393960, 921778093, 677451165, 100542022, 777580921, 985399292] 14)," 15 (maximumLength [166136514, 121501069, 819268421, 996909151, 666575839, 541443609, 7706451, 89798190, 975854495, 614031739, 789100479, 766517129, 943463720, 515084327, 163189379, 299070968, 245046802, 568034583, 268509159, 65891607, 354398193, 337134547, 974949739, 420157853, 110734465, 584545525, 514621850, 58185804, 830790963, 638219138, 82116660, 400356349, 498820256, 753164558, 579431294, 828544930, 256711179, 610891435, 367244257, 685012844, 153075263, 538925394, 151492281, 710294327, 946494292, 553565834, 31085508, 126512892, 644412249, 990248268, 737915622, 276941384, 191702591, 347433388, 767424495, 286791323, 688214920, 198524829, 102207523, 490530977, 661413988, 844298633, 640323442, 645885918, 369474665, 947582676, 811528952, 560202399, 201335332, 255442212, 918206560, 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671484019, 244339711, 930245090, 371323099, 338985100, 402958680, 372362155, 43760086, 165246680, 908901097, 716569252, 831389622, 448012015, 999259741, 230392983, 942018588, 781749220, 603187886, 124113316, 976540496, 768526445, 314799244, 812189464, 848042097, 562988395, 552631348, 116343573, 311047215, 802477476, 25783868, 64758483, 762917256, 250783758, 349671753, 554733767, 822715501, 900225346, 993082454, 514054420, 93504178, 84785904, 885832003, 145504473, 14400156, 972462806, 810591134, 568145125, 503794692, 939394406, 505714897, 18161315, 878436240, 473028339, 715541534, 975710752, 326260536, 50535073, 717069971, 167846524, 337841543, 100105267, 128371237, 949255911, 541698001, 570915335, 994888439, 888608531, 225067188, 485253240, 845071026, 889345603, 148535663, 923640144, 490807026, 998127812, 668018654, 876737264, 856070707, 966640000, 795372492, 730738997, 665884011, 639572103, 479425357, 30264519, 14925560, 731607145, 555132512, 177762943, 867419666, 598267225, 82695330, 765158109, 852209747, 59531094, 383478657, 963053183, 486942850, 880301481, 990343091, 713165975, 979571552, 527767876, 494375359, 199999618, 497690433, 919511247, 219064159, 54727708, 953021243, 504913329, 148395691, 840027895, 171471158, 243503127, 74473955, 443917113, 965775598, 709361068, 904814778, 648747792, 578243609, 680863160, 118153912, 700015204, 408876381, 138818429, 945013685, 611303397, 910824155, 317464717, 775019256, 725922803, 805356655, 32843994, 296785762, 322565856, 553444737, 554023185, 921946658, 655494293, 620103803, 61503902, 193096132, 148945455, 111163159, 484521864, 508885384, 486583549, 59757825, 979514899, 210731982, 130298360, 293533965, 326488262, 590399197, 292468128, 717267658, 360219071, 465181876, 765442431, 439752474, 162929690, 379128370, 278202430, 24279301, 350194618, 737572087, 584283061, 518603933, 82904376, 995452992, 395601185, 11320160, 29970360, 20311332, 50070865, 440709407, 18290907, 946070021, 152942281, 20921611, 689354440, 950701007, 456558546, 55135046, 909387311, 863846994, 561247584, 305014499, 404176119, 290598320, 234715431, 525227679, 980417944, 299917218, 619987345, 918661705, 590221155, 739336537, 167855991, 65662443, 131542406, 968720310, 245793016, 797203815, 720707468, 538861745, 805627716, 410229618, 558947018, 991033192, 743393960, 921778093, 677451165, 100542022, 777580921, 985399292] 14))
+
+
+-- 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

find_the_maximum_length_of_a_good_subsequence_i/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, maximumLength(new ArrayList<>(Arrays.asList(1,2,1,1,3)), 2));
+}
+@Test
+public void test2() {
+    assertEquals(2, maximumLength(new ArrayList<>(Arrays.asList(1,2,3,4,5,1)), 0));
+}
+
+}

find_the_maximum_length_of_a_good_subsequence_i/meta.json

@@ -0,0 +1,2996 @@
+{
+    "id": 3456,
+    "name": "find_the_maximum_length_of_a_good_subsequence_i",
+    "difficulty": "Medium",
+    "link": "https://leetcode.com/problems/find-the-maximum-length-of-a-good-subsequence-i/",
+    "date": "2024-05-25 00:00:00",
+    "task_description": "You are given an integer array `nums` and a **non-negative** integer `k`. A sequence of integers `seq` is called **good** if there are **at most** `k` indices `i` in the range `[0, seq.length - 2]` such that `seq[i] != seq[i + 1]`. Return the **maximum** possible length of a **good** subsequence of `nums`. **Example 1:** **Input:** nums = [1,2,1,1,3], k = 2 **Output:** 4 **Explanation:** The maximum length subsequence is `[1,2,1,1,3]`. **Example 2:** **Input:** nums = [1,2,3,4,5,1], k = 0 **Output:** 2 **Explanation:** The maximum length subsequence is `[1,2,3,4,5,1]`. **Constraints:** `1 <= nums.length <= 500` `1 <= nums[i] <= 109` `0 <= k <= min(nums.length, 25)`",
+    "public_test_cases": [
+        {
+            "label": "Example 1",
+            "input": "nums = [1,2,1,1,3], k = 2",
+            "output": "4 "
+        },
+        {
+            "label": "Example 2",
+            "input": "nums = [1,2,3,4,5,1], k = 0",
+            "output": "2 "
+        }
+    ],
+    "private_test_cases": [
+        {
+            "input": [
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+                17
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+            "output": 18
+        }
+    ],
+    "haskell_template": "maximumLength :: [Int] -> Int -> Int\nmaximumLength nums k ",
+    "ocaml_template": "let maximumLength (nums: int list) (k: int) : int =  ",
+    "scala_template": "def maximumLength(nums: List[Int],k: Int): Int = { \n    \n}",
+    "java_template": "class Solution {\n    public int maximumLength(int[] nums, int k) {\n        \n    }\n}",
+    "python_template": "class Solution(object):\n    def maximumLength(self, nums, k):\n        \"\"\"\n        :type nums: List[int]\n        :type k: int\n        :rtype: int\n        \"\"\"\n        "
+}

find_the_maximum_length_of_a_good_subsequence_i/ocaml_tests/main.ml

@@ -0,0 +1,50 @@
+
+module Main = struct
+    open OUnit2
+
+    (* Program start *)
+
+    (* Program end *)
+
+    (* Test cases *)
+    
+let test1 _ = assert_equal 4 (maximumLength [1;2;1;1;3] 2)
+
+let test2 _ = assert_equal 2 (maximumLength [1;2;3;4;5;1] 0)
+
+let test3 _ = assert_equal 16 (maximumLength [33487469; 853196700; 508583567; 222097037; 261098452; 188012054; 961540644; 61212932; 15037773; 841097125; 12525542; 698705099; 369973008; 92835030; 468189131; 34148422; 580687421; 570566821; 738952593; 180225171; 919512242; 99783784; 425204860; 869457230; 404469514; 507286517; 185905194; 475848287; 567490953; 276861319; 115618801; 198885023; 78195956; 868047407; 828704823; 277822141; 528152647; 429059504; 198847876; 96584063; 240877916; 901365711; 516446494; 437684656; 765734979; 797685131; 431370848; 938336517; 568041453; 753525892; 977443993; 393213522; 665183860; 341164691; 885173771; 292144240; 362688963; 435157884; 799158529; 992337970; 291377882; 70212125; 740085897; 725729792; 565803853; 312378643; 548373143; 360751039; 451196075; 727176901; 805095909; 872955566; 929350237; 242334546; 214523895; 915147423; 578098350; 930167586; 897761330; 148274586; 367416565; 664847641; 722275601; 419879451; 997547266; 336404135; 699560214; 943663808; 423571499; 617199117; 947330997; 809209468; 798079300; 180475930; 99646714; 804391530; 347455668; 946783223; 914880392; 75100983; 725832068; 158225386; 992157753; 240948618; 947609519; 719608751; 775262320; 536867805; 119714960; 79319150; 792873002; 286087071; 19022943; 328363907; 732538568; 912457144; 975334806; 443207614; 536940420; 109373287; 924182716; 501305908; 85032470; 344350927; 835184090; 201928566; 66998189; 946158698; 881066162; 771616191; 71900078; 242619018; 138756453; 49348893; 553284692; 480485289; 503323713; 469473152; 911729932; 192672881; 315945519; 841821428; 877577124; 118650340; 799021764; 181762663; 391644005; 428532741; 274242895; 521472249; 932515039; 362200761; 643684951; 465953301; 760234216; 688956595; 823790102; 880317891; 720087970; 589862333; 693639300; 310685438; 107433866; 788125014; 623113991; 995926890; 164308186; 695870276; 116547502; 363599749; 108771651; 999020226; 513212465; 459019090; 198641889; 321381216; 197675; 440410330; 550548711; 512695542; 456196651; 212908375; 341285455; 882866009; 855721216; 166776550; 102169125; 634712393; 952280485; 814900567; 168724223; 667018749; 529617768; 709275051; 669667562; 100129221; 177210779; 428138415; 42907194; 166376059; 105392153; 139613470; 559725870; 521014552; 198477863; 711092633; 293926168; 153515338; 940899181; 545362491; 677734161; 5697569; 131349649; 524707944; 781502588; 979858072; 68950361; 805348411; 466231031; 435112989; 783476999; 254764697; 853396350; 929243358; 468382183; 663529870; 849437120; 561130145; 548588197; 676136929; 330928976; 885846542; 164388235; 967958142; 38247037; 463953934; 347360076; 995050699; 743574862; 683210867; 918944006; 970459141; 127854995; 988662628; 840629843; 112062233; 335501492; 912608621; 926468029; 545144992; 307778362; 767981405; 947513417; 281025337; 839230833; 795215533; 262480577; 538515965; 564432683; 101892992; 946834501; 448603415; 35287181; 668530827; 533095130; 16669636; 437967928; 31609116; 481480060; 960746244; 122751744; 124100679; 539213806; 366896015; 744434752; 629313621; 457167645; 275701834; 585755798; 129481485; 309735642; 646484951; 53708602; 651248907; 708064996; 112736000; 274006791; 594154331; 51446599; 519253736; 17702088; 744157317; 319575662; 848133481; 649938608; 930137559; 569860301; 323200898; 711859209; 241182967; 234054345; 882840128; 99742283; 335636269; 26185291; 910583828; 165643009; 533325241; 404037313; 829637648; 21547628; 72795736; 876953683; 468673893; 622650379; 533615749; 342343878; 651184748; 455998415; 990023260; 709242020; 148845447; 590094939; 549908446; 713848415; 554513168; 985056785; 606819211; 54145594; 87339142; 615328163; 302076645; 283071573; 272634690; 557009091; 114845885; 992191057; 524218932; 881413971; 944836739; 147344544; 373503446; 372904757; 727364693; 392538095; 220238128; 382685773; 533191650; 339399728; 686877685; 939274906; 73989668; 139028258; 657370317; 584871020; 5684839; 178541263; 195131290; 552754672; 596872011; 532769740; 354354765; 306588671; 542632927; 616890468; 84630307; 684256585; 266958682; 359174232; 170591596; 901103102; 940625309; 685913267; 339792519; 339471136; 125049040; 561697226; 695007544; 34492279; 498603652; 915994047; 646471502; 505889051; 142953890; 945443929; 126223611; 433889431; 466854560; 10320689; 533328459; 538754638; 773200198; 584450813; 34495612; 10320873; 290695904; 99406833; 364239123; 536695973; 346881538; 38096901; 837486993; 738761524; 116884667; 843859643; 180154682; 245936609; 897197094; 630949789; 153247778; 159250724; 919184705; 523682287; 414807889; 168669427; 828244050; 400082520; 60411377; 641318340; 759312668; 946509056; 593211437; 206895703; 816982160; 132939201; 411365896; 916204740; 184498912; 552085651; 760105753] 15)
+
+let test4 _ = assert_equal 22 (maximumLength [327533889; 516247971; 577104323; 102780451; 579472496; 369364708; 431811091; 851858081; 389227997; 223952808; 988636711; 83830649; 524947406; 296624356; 794995672; 30494355; 154348533; 476239988; 547576365; 263612981; 485307754; 747671126; 64210544; 376097964; 462275031; 535805711; 332753982; 213719903; 155924079; 248700945; 118826282; 706339812; 68349277; 991342323; 920746401; 960198240; 813243613; 188071477; 670184207; 532896855; 602914215; 239111400; 129822243; 141229165; 534580815; 897265516; 614935521; 939532753; 39963074; 740212020; 143222965; 941682425; 239582504; 35023687; 618015486; 959550922; 687895424; 625377189; 364408867; 809797648; 491284157; 453083882; 898959256; 481212322; 29091746; 138006074; 963762698; 270676830; 747466877; 113357505; 982113766; 495275050; 744041226; 718203434; 700072245; 787953956; 436075447; 864825218; 360097180; 311162304; 816051078; 948790181; 139380119; 462149183; 169921147; 526798940; 116044069; 79653034; 954140644; 293213000; 608576999; 230353388; 567365557; 705459268; 531247042; 35399870; 963947762; 136182401; 461889635; 951439775; 71938909; 887693320; 757989888; 26504625; 846479912; 577482890; 220016904; 233976519; 308152721; 4884715; 355167603; 92431841; 59412077; 498429636; 579318280; 91688022; 727082443; 71084239; 908856330; 22091108; 405709610; 715395797; 115454620; 271477677; 196837563; 429623851; 806161676; 289091831; 696564972; 775018977; 239704135; 54133936; 119278128; 742601516; 162977700; 259855912; 274770239; 252037593; 695813277; 614725042; 298612459; 792677903; 589370084; 912528150; 164707278; 386684390; 452820769; 79739724; 66572280; 824873930; 978713135; 881349725; 699001664; 327221414; 764367180; 533880754; 264285724; 857663714; 226843218; 933229505; 836864949; 540927216; 630071486; 2122958; 815381840; 874377121; 492304758; 200048732; 76507927; 700101808; 162237741; 674935054; 335425981; 406307331; 594448382; 758768471; 288734876; 312664328; 540664454; 779494011; 764656558; 861823605; 118903129; 398326761; 375758584; 380806694; 794475795; 646547293; 145051162; 609252633; 760356685; 958660571; 435366240; 356814873; 95319712; 631444407; 596253847; 268340190; 211984765; 454532514; 459526641; 805932389; 448184761; 13543944; 894437555; 45432878; 442552418; 108165329; 487415069; 783710264; 695486933; 699450570; 293298646; 479220412; 684599590; 192970243; 840691084; 4532748; 741328011; 746395579; 966633259; 903804640; 465102945; 280361450; 321069891; 624057962; 239172920; 197561644; 380049568; 90222551; 625174874; 490379701; 173468021; 953184329; 301825571; 941534385; 995509963; 868449315; 557544885; 880302873; 872609724; 875626162; 370323425; 275468447; 882014552; 846735184; 120912352; 813721801; 862942875; 515699969; 683462384; 980903474; 546493687; 402300014; 319569533; 797130956; 387682284; 214646902; 719014383; 102095725; 196771211; 828165396; 672834365; 531011470; 880466295; 608158345; 338180323; 180965136; 73119784; 64083527; 955870955; 771887888; 139237899; 455198447; 6562309; 561603040; 799283563; 59075477; 858737286; 68016326; 634664588; 300951668; 452080386; 383475146; 603177201; 872135189; 261574971; 229884149; 858212769; 499701451; 910896731; 223956027; 432733575; 770157887; 773985892; 558621158; 560393168; 777160405; 961201142; 807882491; 124052476; 196881320; 324835681; 838853707; 43693124; 239058684; 334495096; 381139239; 96627701; 613545592; 633996771; 836870001; 768428858; 382469643; 986155908; 159381817; 97105863; 299264759; 594461108; 233236917; 540594617; 244787518; 482372949; 785387674; 380905759; 731791714; 994233002; 334093235; 778405573; 775330947; 232523002; 521892918; 8131144; 541091974; 18857695; 587779058; 250293641; 178083084; 86423929; 365187708; 964149610; 328603078; 112878336; 606064134; 568564713; 493936941; 187197854; 459298315; 656369139; 64328277; 910946197; 926708213; 458972942; 824338453; 74535004; 55485192; 776358670; 564155594; 801557247; 772983724; 484332312; 686814423; 479037180; 783501754; 602973511; 1190250; 671618996; 917218081; 727705466; 176448034; 410775860; 885939324; 615546497; 580229143; 491004073; 499090756; 93700586; 705077451; 356461710; 516001005; 464491977; 57107526; 224642742; 842112461; 523735846; 529283361; 854603821; 560169857; 328288389; 465414672; 603244321; 786147965; 90727648; 64912665; 849588797; 812698537; 318123651; 265457973; 885015284; 418024424; 731171952; 65881220; 944209527; 720974551; 630329426; 866558959; 983335744; 938155014; 731092367; 676946857; 97835678; 16879027; 438367860; 766950135; 959068162; 583347354; 295765171; 696414369; 333608526; 935312521; 470896333; 29352159; 435560878; 273366907; 880512691; 240984504; 844227469; 938755111; 478250003; 589565129; 669659749; 247563708; 465743085; 895565695; 285953710; 650504736; 909051770; 815902950; 302329404; 791140664; 445181926; 52880689; 390293386; 959655793; 7572577; 122794695; 668019901; 214190852; 289117876; 809299851; 263551854; 952412334; 104283184; 486898252; 757064092; 196239301; 792657494; 828373266; 201020664; 655715614; 526849548; 837378542; 902331101; 150169615; 755972704; 296301055; 708488534; 127290172; 713800725; 81776692; 938518356; 873893602; 140005476; 590412500; 398918946; 217348199; 914936754; 642424855; 609632831; 387869323; 123138584; 970088426; 445751710; 181422250; 39153244; 480323004; 707798403; 915125244; 715274485; 363189310; 290275849; 865152853; 559410316; 387501362; 753415746; 457757665] 21)
+
+let test5 _ = assert_equal 2 (maximumLength [63065717; 310925130; 123681352; 418252036; 455925266; 848331954; 514920504; 926116127; 823866862; 745104358; 494800415; 972017751; 943666958; 458806; 227938603; 735223100; 688717024; 297682752; 71206098; 461866773; 612194775; 993980417; 118835691; 451667832; 53172588; 746247127; 990607879; 814031965; 467657654; 636665607; 981988704; 605396523; 202477330; 8406074; 74274772; 116003553; 102603765; 757367360; 292685632; 189891137; 653612534; 188352455; 806624900; 828176150; 159925719; 263424213; 694677233; 522612245; 198065972; 421243891; 789302712; 58198278; 575078912; 658376585; 891432173; 44671546; 941616686; 292875520; 876927014; 682858550; 942528013; 416491423; 4653487; 676555761; 2489297; 361846701; 686443358; 879875769; 91184601; 15439416; 558237173; 404140841; 631359651; 403414487; 103393750; 741274684; 546207955; 507600399; 562826389; 625457670; 477181692; 513302253; 876454335; 962370786; 465430109; 875410393; 681523014; 508882993; 734251846; 692760603; 376787886; 161882526; 658718628; 32642757; 317488330; 313581086; 624876775; 449477112; 612805515; 709078704; 376014080; 354660003; 676736234; 730047290; 10562672; 148014836; 760768774; 528567488; 869217498; 355676915; 122054706; 280415765; 712488264; 590404130; 21069838; 551110603; 313856070; 944892718; 728632982; 894098138; 939770583; 604837319; 924587415; 130286973; 489446560; 30407051; 396022255; 842936539; 322414686; 314582707; 226797374; 337026559; 309543384; 816976996; 956297634; 198350080; 556047734; 815917387; 14728176; 63749114; 345225320; 131354830; 61997083; 470355874; 859786431; 420649752; 656834306; 823363088; 854484404; 9346700; 597157723; 313812358; 119832585; 964021929; 105834742; 238318936; 966031671; 789654534; 389540161; 338015970; 164729724; 510634493; 68811418; 187593532; 934824704; 443021193; 832773862; 926839522; 376916994] 1)
+
+let test6 _ = assert_equal 10 (maximumLength [756941236; 336028848; 626893475; 550698001; 971854899; 428738084; 85777754; 548985841; 91144920; 725266015; 957553852; 443913306; 851311890; 375149909; 954308523] 9)
+
+let test7 _ = assert_equal 3 (maximumLength [766550818; 906436068; 842322495; 227281452; 546244193; 189773691; 795345716; 511453600; 428630063; 961418767; 909775809; 518142035; 142534445; 226680739; 14413192; 684910958; 350747094; 389127842; 551048695; 793657350; 514009257; 453239520; 297339715; 440177720; 549564290; 424329874; 721028462; 606713685; 405675142; 987741638; 666065731; 151310381; 822718111; 379985957; 411154058; 96501175; 310975; 587251167; 362674533; 748464264; 293080142; 861078168; 151734041; 806969690; 190231325; 475906098; 889477668; 796745292; 918246299; 399060393; 308556458; 54469566; 163681224; 672154960; 285832376; 620610142; 19763462; 780109108; 879360573; 958960913; 319521755; 623380309; 850421875; 339734364; 997159471; 935970929; 600635208; 147745386; 476089764; 928409354; 535786394; 421126660; 111274516; 432185353; 951792615; 561316429; 97037209; 510429606; 525877163; 884159304; 994069797; 311633424; 809248713] 2)
+
+let test8 _ = assert_equal 2 (maximumLength [952490193; 622824133; 405928692; 969859413; 684428934; 527325455; 702570155; 337574627; 262974955; 972088729; 760493400; 208402756; 804884365; 883811047; 202766874; 680462324; 197117370; 897661386; 964763892; 975624339; 190022513; 41623483; 881489084; 926446355; 937111479; 516549005; 943095584; 45071193; 941508674; 335830493; 672332714; 518202143; 344728266; 853173293; 654481635; 883186794; 182111010; 874779317; 259809566; 350500171; 21996490; 138172886; 33149981; 905939030; 880967170; 162631082; 690779254; 171705177; 60148845; 153349346; 231016524; 669854204; 990078914; 379547527; 225427609; 461733862; 950792765; 306844286; 838916862; 617619634; 113366257; 195139529; 178644292; 854626497; 813735119; 524831767; 987868428; 792158694; 215680803; 168326668; 266561687; 246337990; 850244976; 652963813; 551020658; 675151284; 287302927; 682223775; 166706773; 566852251; 870051567; 88649934; 27519439; 519872645; 604054227; 310761100; 895873308; 578176877; 841544488; 258382968; 529172209; 424840686; 776103022; 323771211; 812742172; 308777308; 816213377; 407441213; 659592279; 310723900; 148014994; 20538730; 347707113; 170627081; 174926814; 842764296; 842386439; 412289806; 656100529; 197657843; 65857197; 586281132; 299689428; 661496050; 105000136; 239112305; 741548195; 704117291; 582966355; 684316056; 421686477; 119749685; 818309916; 699931190; 204994751; 766688195; 501775473; 615870358; 278650568; 446224512; 286942104; 855451447; 436139024; 872066703; 281870388; 366134906; 326541827; 607697848; 91130137; 660226268; 386913644; 75261165; 447760221; 261876585; 430727981; 681608670; 209357432; 989718616; 254988008; 884267480; 170065820; 338193746; 657070222; 685710733; 604201755; 382647977; 405175889; 937286704; 719345831; 187746316; 432355951; 568682509; 768302292; 165254732; 317884011; 38705733; 158660679; 408464567; 706771625; 858558360; 857163329; 797128416; 335766767; 278690069; 642520218; 418103867; 947746893; 250383291; 303035276; 310504389; 653633116; 326452166; 869124008; 925886240; 606391113; 760226974; 364371596; 158674119; 991781019; 796930501; 2139061; 90881255; 581287506; 902007074; 234182494; 888690703; 374714881; 679248921; 291475262; 616486558; 876071114; 157497006; 616706784; 411985771; 770235817; 106016028; 142470056; 139870812; 559088009; 648754817; 288118115; 243289585; 929249213; 306472304; 556731590; 347185806; 124190710; 304809826; 942762975; 510726184; 578242639; 383719183; 205491035; 355234742; 981412363; 26629208; 823200445; 614848017; 492563982; 261348499; 411888102; 503595423; 687938954; 677425261; 199880165; 846656760; 400868850; 99655429; 476737261; 437481507; 663227830; 25406021; 419704593; 547192406; 651124877; 855495187; 743523172; 998216275; 96450354; 24427597; 53692975; 764580717; 683743595; 70135174; 860598696; 859326828; 594914209; 36855796; 591571002; 464736610; 129965077; 701568663; 846779480; 38900117; 126314493; 568276570; 401923199; 839766771; 287786203; 131958805; 557972122; 503621532; 16387294; 465006687; 533629310; 441575190; 760494056; 282865241; 625005456; 945830662; 709943732; 292221151; 179873840; 216336531; 536660633; 47776097; 793220905; 57487697; 173539575; 16443039; 221055679; 337504932; 11385936; 265110318; 819315490; 160577936; 186620220; 481355694; 410634094; 800948523; 348843218; 912895882; 43059167; 923562124; 831749585; 438843040; 157341496; 176461655; 943396961; 470460673; 309297065; 380421178; 352330482; 285531427; 756774034; 125517542; 920012345; 93108971] 1)
+
+let test9 _ = assert_equal 15 (maximumLength [166136514; 121501069; 819268421; 996909151; 666575839; 541443609; 7706451; 89798190; 975854495; 614031739; 789100479; 766517129; 943463720; 515084327; 163189379; 299070968; 245046802; 568034583; 268509159; 65891607; 354398193; 337134547; 974949739; 420157853; 110734465; 584545525; 514621850; 58185804; 830790963; 638219138; 82116660; 400356349; 498820256; 753164558; 579431294; 828544930; 256711179; 610891435; 367244257; 685012844; 153075263; 538925394; 151492281; 710294327; 946494292; 553565834; 31085508; 126512892; 644412249; 990248268; 737915622; 276941384; 191702591; 347433388; 767424495; 286791323; 688214920; 198524829; 102207523; 490530977; 661413988; 844298633; 640323442; 645885918; 369474665; 947582676; 811528952; 560202399; 201335332; 255442212; 918206560; 155086256; 461260585; 794465266; 294977082; 72359748; 434821860; 658021083; 133006978; 927209129; 268765584; 509281534; 822799342; 75194648; 925599283; 360458811; 756438750; 623837200; 881244020; 756356446; 968138490; 369084318; 134761876; 661448279; 565063531; 404410547; 610392398; 604820171; 935286640; 920067740; 444678795; 167417564; 258321288; 997296436; 220987238; 279059743; 187367765; 859448591; 564039123; 803408975; 150042322; 307671736; 696614477; 773298090; 181979755; 914018993; 198946164; 11556104; 257168447; 526341545; 341262481; 235727325; 838260040; 272657750; 977373789; 668955751; 650533716; 190754684; 871925241; 877718267; 565264642; 824672096; 626516766; 691952762; 921668768; 963325328; 315535461; 355893231; 143284008; 606082896; 510934338; 777389586; 753382270; 589212639; 462838388; 242968002; 109712214; 704028498; 573432950; 560850912; 341558848; 416310414; 246570536; 303323128; 292033142; 563160363; 923212087; 794937067; 14238289; 816347668; 437582650; 154506393; 916642905; 597771193; 947233003; 907165070; 628268892; 649413096; 457463638; 634737676; 2787027; 136051403; 60721945; 87802610; 778465317; 945642013; 482146092; 120346448; 268405150; 680779877; 949626043; 885795442; 369203304; 614790065; 686675444; 721147079; 404931489; 325608038; 799763530; 812514111; 322334029; 41960004; 98737859; 774491986; 473161838; 854817714; 55564799; 610759827; 473579724; 532921739; 144772207; 524367636; 885161046; 93978226; 442554162; 378694701; 399039972; 363891492; 59618362; 7873541; 987083408; 373052832; 735047065; 409398354; 719466302; 577059175; 546373803; 641895803; 812909458; 620410379; 208944493; 911380041; 737495506; 459237783; 267886235; 880440379; 751500176; 930875517; 588330440; 156948160; 75636017; 150470645; 356421639; 184913391; 381612864; 793878014; 537692251; 99687736; 808407828; 173644552; 492032091; 498857009; 763689568; 310749126; 541021190; 207145878; 350333428; 448732359; 349757320; 304075276; 542327546; 703546016; 66637224; 979504700; 671484019; 244339711; 930245090; 371323099; 338985100; 402958680; 372362155; 43760086; 165246680; 908901097; 716569252; 831389622; 448012015; 999259741; 230392983; 942018588; 781749220; 603187886; 124113316; 976540496; 768526445; 314799244; 812189464; 848042097; 562988395; 552631348; 116343573; 311047215; 802477476; 25783868; 64758483; 762917256; 250783758; 349671753; 554733767; 822715501; 900225346; 993082454; 514054420; 93504178; 84785904; 885832003; 145504473; 14400156; 972462806; 810591134; 568145125; 503794692; 939394406; 505714897; 18161315; 878436240; 473028339; 715541534; 975710752; 326260536; 50535073; 717069971; 167846524; 337841543; 100105267; 128371237; 949255911; 541698001; 570915335; 994888439; 888608531; 225067188; 485253240; 845071026; 889345603; 148535663; 923640144; 490807026; 998127812; 668018654; 876737264; 856070707; 966640000; 795372492; 730738997; 665884011; 639572103; 479425357; 30264519; 14925560; 731607145; 555132512; 177762943; 867419666; 598267225; 82695330; 765158109; 852209747; 59531094; 383478657; 963053183; 486942850; 880301481; 990343091; 713165975; 979571552; 527767876; 494375359; 199999618; 497690433; 919511247; 219064159; 54727708; 953021243; 504913329; 148395691; 840027895; 171471158; 243503127; 74473955; 443917113; 965775598; 709361068; 904814778; 648747792; 578243609; 680863160; 118153912; 700015204; 408876381; 138818429; 945013685; 611303397; 910824155; 317464717; 775019256; 725922803; 805356655; 32843994; 296785762; 322565856; 553444737; 554023185; 921946658; 655494293; 620103803; 61503902; 193096132; 148945455; 111163159; 484521864; 508885384; 486583549; 59757825; 979514899; 210731982; 130298360; 293533965; 326488262; 590399197; 292468128; 717267658; 360219071; 465181876; 765442431; 439752474; 162929690; 379128370; 278202430; 24279301; 350194618; 737572087; 584283061; 518603933; 82904376; 995452992; 395601185; 11320160; 29970360; 20311332; 50070865; 440709407; 18290907; 946070021; 152942281; 20921611; 689354440; 950701007; 456558546; 55135046; 909387311; 863846994; 561247584; 305014499; 404176119; 290598320; 234715431; 525227679; 980417944; 299917218; 619987345; 918661705; 590221155; 739336537; 167855991; 65662443; 131542406; 968720310; 245793016; 797203815; 720707468; 538861745; 805627716; 410229618; 558947018; 991033192; 743393960; 921778093; 677451165; 100542022; 777580921; 985399292] 14)
+
+let test10 _ = assert_equal 11 (maximumLength [30310731; 713612867; 377747666; 745879384; 182506266; 318141417; 37837900; 801226303; 855556813; 4927315; 635491766; 857422516; 690396008; 962861064; 668626744; 508554135; 413867870; 135019314; 999918996; 972125262; 516652617; 495099313; 544227835; 263082687; 980869025; 580089395; 822230466; 904782190; 823942453; 880978999; 955039523; 425383754; 325949086; 334999290; 334481199; 852176791; 923281576; 694305249; 572087466; 456414537; 154302218; 599633727; 486799911; 332162113; 709404001; 781471246; 339609892; 846136376; 387515946; 107651676; 533996716; 204060655; 608482726; 918349728; 813657314; 691210287; 742270208; 759695303; 703778237; 366313361; 665441481; 721347784; 957354016; 433201191; 882353859; 681491491; 543894849; 560864533; 620320519; 623229139; 849428926; 183018741; 835197617; 363068219; 930223264; 291017879; 174101651; 197027393; 820053026; 364405798; 305215607; 940458809; 354441620; 908966611; 502446253; 424429293; 646937354; 405235545; 176914745; 138577940; 324369884; 36946315; 771373605; 939913372; 317345340; 252971576; 600227813; 803994040; 701143084; 908412005; 157342957; 83695239; 330843377; 799876964; 63977929; 97108637; 126437390; 631806605; 943838335; 865109124; 981520873; 642162653; 394690926; 379081376; 254772807; 140019709; 269867764; 219956490; 707603227; 964556025; 486195895; 74669466; 73344017; 923856509; 706308363; 147992516; 933681054; 492774540; 575808791; 718209373; 173178416; 467981827; 377037689; 832845297; 276557833; 803802475; 536029433; 463762736; 875907990; 468478773; 40420857; 436144401; 645398414; 902095243; 151093072; 382376308; 761092460; 26730769; 996269670; 329408068; 185550436; 370154312; 293819145; 324953751; 609720083; 796837707; 876921434; 117838082; 32752533; 985334976; 515543594; 377109066; 527391286; 224483199; 227808831; 202712397; 538810786; 835809215; 73933764; 313434375; 976275969; 992064022; 288799941; 357580426; 683988312; 891477669; 990124706; 42946152; 662816846; 653484060; 422761316; 38137427; 188520676; 763956232; 164429968; 136904867; 115165709; 154164868; 845094887; 210119921; 851561948; 633061037; 225717836; 336734478; 947043829; 431779686; 985140790; 617061558; 249555367; 176082010; 468484135; 56667027; 898049945; 225934464; 306761842; 207271240; 263952892; 421993216; 729280233; 883563042; 996151535; 465482987; 936345627; 391848911; 381548038; 618583148; 628021097; 74821880; 221342892; 716554145; 603469436; 648463335; 968533421; 488878722; 419851889; 877457547; 121647117; 225276066; 884182236; 41817514; 916422921; 749288713; 653316339; 579461058; 603562496; 606709642; 364830954; 520232531; 588289871; 609278403; 656817591; 134603403; 749295702; 978501583; 949531900; 361899311; 217068122; 360060442; 33534711; 90728890; 460273308; 402852973; 72740453; 455372706; 808899887; 145039818; 868574733; 544226874; 908265708; 738314108; 430319568; 660675206; 373244984; 754828918; 396496049; 791800505; 257213806; 695543719; 703244793; 737036153; 381172765; 540869006; 439264303; 412564036; 753087057; 615617451; 1901523; 915204691; 147176573; 601484374; 854728566; 386392; 433180051; 232638998; 857903548; 171941405; 282766922; 973925304; 320143503; 126521460; 339240249; 503430570; 18579376; 629462089; 996229297; 285771534; 359199209; 468760989; 280869853; 602796936; 160084886; 350905658; 712303483; 294227919; 856169258; 349735444; 370337070; 810847894; 745696013; 813138404; 57137201; 614442379; 167207929; 329954140; 169335122; 366631254; 139723747; 896527678; 845880260; 549760715; 289588245; 231205843; 729739438; 736655510; 146608293; 554456678; 762746669; 939613908; 450798013; 878449248; 155536213; 555907989; 828305323; 840940690; 536351912; 477391789; 856302574; 371376071; 663062492; 717171600; 798437082; 248064267; 687223252; 226894234; 936857843; 145181801; 707240158; 460288033; 633322032; 584941253; 753400503; 341643191; 640361978; 414135457; 745170801; 241474003; 846492138; 348887201; 380579023; 552088853; 65321988; 281501713; 395863216; 292341550; 499979820; 237014420; 30442967; 601694725; 56791210; 960687845; 88682241; 442226289; 452972848; 234841349; 938942289; 748068098; 201946953; 748625423; 978179532; 897862142; 573602243; 630907441; 184504872; 877474379; 553294196; 86833872; 693488158; 70463941; 943530484; 948579994; 862814135; 246368500; 873270958; 338057830; 983903368; 59855896; 732486271; 663161834; 661549632; 177814245; 626640660; 345092871; 124263576; 373533270; 352176523; 998412288; 878367251; 598936226; 701959086; 400145508; 108114596; 164270870; 900938666; 677851751; 637324581; 130274326; 64750070; 808508753; 198239841; 423872388; 706671863; 740168813; 581292595; 474388770; 586876673; 910163756; 281249654; 291830158; 264636044; 884493730; 775236934; 338878579; 74271597; 651988856; 652734110; 468664633; 167413426; 418342003; 461082020; 556390393; 569901540; 299278021; 223198118; 631487018; 622383043; 280220107; 68431263; 932537776; 660154830; 361360455; 678137717; 626818251; 618585792; 9145884; 374503156; 220763172; 891811671; 645510829; 386360502; 777618158; 206911033; 814442829; 941766602; 10306076; 492632233; 662948696; 964641886; 353516876; 449058781; 251692496; 163784672; 851101539; 518174049; 369388051; 740930222; 663907765; 466069173; 91728049; 117096284; 324752241; 239103320; 278942449; 129857746; 972200598; 535422884; 345675182; 867547456; 980177106] 10)
+
+
+    (* Grouping test cases *)
+    let suite = "Test Suite for maximumLength" >::: [
+        
+  "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

find_the_maximum_length_of_a_good_subsequence_i/scala_tests/MySuite.scala

@@ -0,0 +1,44 @@
+
+class MySuite extends munit.FunSuite {
+  
+  test("test1") {
+    assertEquals(Main.maximumLength(List(1,2,1,1,3),2), 4)
+  }
+
+  test("test2") {
+    assertEquals(Main.maximumLength(List(1,2,3,4,5,1),0), 2)
+  }
+
+  test("test3") {
+    assertEquals(Main.maximumLength(List(33487469, 853196700, 508583567, 222097037, 261098452, 188012054, 961540644, 61212932, 15037773, 841097125, 12525542, 698705099, 369973008, 92835030, 468189131, 34148422, 580687421, 570566821, 738952593, 180225171, 919512242, 99783784, 425204860, 869457230, 404469514, 507286517, 185905194, 475848287, 567490953, 276861319, 115618801, 198885023, 78195956, 868047407, 828704823, 277822141, 528152647, 429059504, 198847876, 96584063, 240877916, 901365711, 516446494, 437684656, 765734979, 797685131, 431370848, 938336517, 568041453, 753525892, 977443993, 393213522, 665183860, 341164691, 885173771, 292144240, 362688963, 435157884, 799158529, 992337970, 291377882, 70212125, 740085897, 725729792, 565803853, 312378643, 548373143, 360751039, 451196075, 727176901, 805095909, 872955566, 929350237, 242334546, 214523895, 915147423, 578098350, 930167586, 897761330, 148274586, 367416565, 664847641, 722275601, 419879451, 997547266, 336404135, 699560214, 943663808, 423571499, 617199117, 947330997, 809209468, 798079300, 180475930, 99646714, 804391530, 347455668, 946783223, 914880392, 75100983, 725832068, 158225386, 992157753, 240948618, 947609519, 719608751, 775262320, 536867805, 119714960, 79319150, 792873002, 286087071, 19022943, 328363907, 732538568, 912457144, 975334806, 443207614, 536940420, 109373287, 924182716, 501305908, 85032470, 344350927, 835184090, 201928566, 66998189, 946158698, 881066162, 771616191, 71900078, 242619018, 138756453, 49348893, 553284692, 480485289, 503323713, 469473152, 911729932, 192672881, 315945519, 841821428, 877577124, 118650340, 799021764, 181762663, 391644005, 428532741, 274242895, 521472249, 932515039, 362200761, 643684951, 465953301, 760234216, 688956595, 823790102, 880317891, 720087970, 589862333, 693639300, 310685438, 107433866, 788125014, 623113991, 995926890, 164308186, 695870276, 116547502, 363599749, 108771651, 999020226, 513212465, 459019090, 198641889, 321381216, 197675, 440410330, 550548711, 512695542, 456196651, 212908375, 341285455, 882866009, 855721216, 166776550, 102169125, 634712393, 952280485, 814900567, 168724223, 667018749, 529617768, 709275051, 669667562, 100129221, 177210779, 428138415, 42907194, 166376059, 105392153, 139613470, 559725870, 521014552, 198477863, 711092633, 293926168, 153515338, 940899181, 545362491, 677734161, 5697569, 131349649, 524707944, 781502588, 979858072, 68950361, 805348411, 466231031, 435112989, 783476999, 254764697, 853396350, 929243358, 468382183, 663529870, 849437120, 561130145, 548588197, 676136929, 330928976, 885846542, 164388235, 967958142, 38247037, 463953934, 347360076, 995050699, 743574862, 683210867, 918944006, 970459141, 127854995, 988662628, 840629843, 112062233, 335501492, 912608621, 926468029, 545144992, 307778362, 767981405, 947513417, 281025337, 839230833, 795215533, 262480577, 538515965, 564432683, 101892992, 946834501, 448603415, 35287181, 668530827, 533095130, 16669636, 437967928, 31609116, 481480060, 960746244, 122751744, 124100679, 539213806, 366896015, 744434752, 629313621, 457167645, 275701834, 585755798, 129481485, 309735642, 646484951, 53708602, 651248907, 708064996, 112736000, 274006791, 594154331, 51446599, 519253736, 17702088, 744157317, 319575662, 848133481, 649938608, 930137559, 569860301, 323200898, 711859209, 241182967, 234054345, 882840128, 99742283, 335636269, 26185291, 910583828, 165643009, 533325241, 404037313, 829637648, 21547628, 72795736, 876953683, 468673893, 622650379, 533615749, 342343878, 651184748, 455998415, 990023260, 709242020, 148845447, 590094939, 549908446, 713848415, 554513168, 985056785, 606819211, 54145594, 87339142, 615328163, 302076645, 283071573, 272634690, 557009091, 114845885, 992191057, 524218932, 881413971, 944836739, 147344544, 373503446, 372904757, 727364693, 392538095, 220238128, 382685773, 533191650, 339399728, 686877685, 939274906, 73989668, 139028258, 657370317, 584871020, 5684839, 178541263, 195131290, 552754672, 596872011, 532769740, 354354765, 306588671, 542632927, 616890468, 84630307, 684256585, 266958682, 359174232, 170591596, 901103102, 940625309, 685913267, 339792519, 339471136, 125049040, 561697226, 695007544, 34492279, 498603652, 915994047, 646471502, 505889051, 142953890, 945443929, 126223611, 433889431, 466854560, 10320689, 533328459, 538754638, 773200198, 584450813, 34495612, 10320873, 290695904, 99406833, 364239123, 536695973, 346881538, 38096901, 837486993, 738761524, 116884667, 843859643, 180154682, 245936609, 897197094, 630949789, 153247778, 159250724, 919184705, 523682287, 414807889, 168669427, 828244050, 400082520, 60411377, 641318340, 759312668, 946509056, 593211437, 206895703, 816982160, 132939201, 411365896, 916204740, 184498912, 552085651, 760105753),15), 16)
+  }
+
+  test("test4") {
+    assertEquals(Main.maximumLength(List(327533889, 516247971, 577104323, 102780451, 579472496, 369364708, 431811091, 851858081, 389227997, 223952808, 988636711, 83830649, 524947406, 296624356, 794995672, 30494355, 154348533, 476239988, 547576365, 263612981, 485307754, 747671126, 64210544, 376097964, 462275031, 535805711, 332753982, 213719903, 155924079, 248700945, 118826282, 706339812, 68349277, 991342323, 920746401, 960198240, 813243613, 188071477, 670184207, 532896855, 602914215, 239111400, 129822243, 141229165, 534580815, 897265516, 614935521, 939532753, 39963074, 740212020, 143222965, 941682425, 239582504, 35023687, 618015486, 959550922, 687895424, 625377189, 364408867, 809797648, 491284157, 453083882, 898959256, 481212322, 29091746, 138006074, 963762698, 270676830, 747466877, 113357505, 982113766, 495275050, 744041226, 718203434, 700072245, 787953956, 436075447, 864825218, 360097180, 311162304, 816051078, 948790181, 139380119, 462149183, 169921147, 526798940, 116044069, 79653034, 954140644, 293213000, 608576999, 230353388, 567365557, 705459268, 531247042, 35399870, 963947762, 136182401, 461889635, 951439775, 71938909, 887693320, 757989888, 26504625, 846479912, 577482890, 220016904, 233976519, 308152721, 4884715, 355167603, 92431841, 59412077, 498429636, 579318280, 91688022, 727082443, 71084239, 908856330, 22091108, 405709610, 715395797, 115454620, 271477677, 196837563, 429623851, 806161676, 289091831, 696564972, 775018977, 239704135, 54133936, 119278128, 742601516, 162977700, 259855912, 274770239, 252037593, 695813277, 614725042, 298612459, 792677903, 589370084, 912528150, 164707278, 386684390, 452820769, 79739724, 66572280, 824873930, 978713135, 881349725, 699001664, 327221414, 764367180, 533880754, 264285724, 857663714, 226843218, 933229505, 836864949, 540927216, 630071486, 2122958, 815381840, 874377121, 492304758, 200048732, 76507927, 700101808, 162237741, 674935054, 335425981, 406307331, 594448382, 758768471, 288734876, 312664328, 540664454, 779494011, 764656558, 861823605, 118903129, 398326761, 375758584, 380806694, 794475795, 646547293, 145051162, 609252633, 760356685, 958660571, 435366240, 356814873, 95319712, 631444407, 596253847, 268340190, 211984765, 454532514, 459526641, 805932389, 448184761, 13543944, 894437555, 45432878, 442552418, 108165329, 487415069, 783710264, 695486933, 699450570, 293298646, 479220412, 684599590, 192970243, 840691084, 4532748, 741328011, 746395579, 966633259, 903804640, 465102945, 280361450, 321069891, 624057962, 239172920, 197561644, 380049568, 90222551, 625174874, 490379701, 173468021, 953184329, 301825571, 941534385, 995509963, 868449315, 557544885, 880302873, 872609724, 875626162, 370323425, 275468447, 882014552, 846735184, 120912352, 813721801, 862942875, 515699969, 683462384, 980903474, 546493687, 402300014, 319569533, 797130956, 387682284, 214646902, 719014383, 102095725, 196771211, 828165396, 672834365, 531011470, 880466295, 608158345, 338180323, 180965136, 73119784, 64083527, 955870955, 771887888, 139237899, 455198447, 6562309, 561603040, 799283563, 59075477, 858737286, 68016326, 634664588, 300951668, 452080386, 383475146, 603177201, 872135189, 261574971, 229884149, 858212769, 499701451, 910896731, 223956027, 432733575, 770157887, 773985892, 558621158, 560393168, 777160405, 961201142, 807882491, 124052476, 196881320, 324835681, 838853707, 43693124, 239058684, 334495096, 381139239, 96627701, 613545592, 633996771, 836870001, 768428858, 382469643, 986155908, 159381817, 97105863, 299264759, 594461108, 233236917, 540594617, 244787518, 482372949, 785387674, 380905759, 731791714, 994233002, 334093235, 778405573, 775330947, 232523002, 521892918, 8131144, 541091974, 18857695, 587779058, 250293641, 178083084, 86423929, 365187708, 964149610, 328603078, 112878336, 606064134, 568564713, 493936941, 187197854, 459298315, 656369139, 64328277, 910946197, 926708213, 458972942, 824338453, 74535004, 55485192, 776358670, 564155594, 801557247, 772983724, 484332312, 686814423, 479037180, 783501754, 602973511, 1190250, 671618996, 917218081, 727705466, 176448034, 410775860, 885939324, 615546497, 580229143, 491004073, 499090756, 93700586, 705077451, 356461710, 516001005, 464491977, 57107526, 224642742, 842112461, 523735846, 529283361, 854603821, 560169857, 328288389, 465414672, 603244321, 786147965, 90727648, 64912665, 849588797, 812698537, 318123651, 265457973, 885015284, 418024424, 731171952, 65881220, 944209527, 720974551, 630329426, 866558959, 983335744, 938155014, 731092367, 676946857, 97835678, 16879027, 438367860, 766950135, 959068162, 583347354, 295765171, 696414369, 333608526, 935312521, 470896333, 29352159, 435560878, 273366907, 880512691, 240984504, 844227469, 938755111, 478250003, 589565129, 669659749, 247563708, 465743085, 895565695, 285953710, 650504736, 909051770, 815902950, 302329404, 791140664, 445181926, 52880689, 390293386, 959655793, 7572577, 122794695, 668019901, 214190852, 289117876, 809299851, 263551854, 952412334, 104283184, 486898252, 757064092, 196239301, 792657494, 828373266, 201020664, 655715614, 526849548, 837378542, 902331101, 150169615, 755972704, 296301055, 708488534, 127290172, 713800725, 81776692, 938518356, 873893602, 140005476, 590412500, 398918946, 217348199, 914936754, 642424855, 609632831, 387869323, 123138584, 970088426, 445751710, 181422250, 39153244, 480323004, 707798403, 915125244, 715274485, 363189310, 290275849, 865152853, 559410316, 387501362, 753415746, 457757665),21), 22)
+  }
+
+  test("test5") {
+    assertEquals(Main.maximumLength(List(63065717, 310925130, 123681352, 418252036, 455925266, 848331954, 514920504, 926116127, 823866862, 745104358, 494800415, 972017751, 943666958, 458806, 227938603, 735223100, 688717024, 297682752, 71206098, 461866773, 612194775, 993980417, 118835691, 451667832, 53172588, 746247127, 990607879, 814031965, 467657654, 636665607, 981988704, 605396523, 202477330, 8406074, 74274772, 116003553, 102603765, 757367360, 292685632, 189891137, 653612534, 188352455, 806624900, 828176150, 159925719, 263424213, 694677233, 522612245, 198065972, 421243891, 789302712, 58198278, 575078912, 658376585, 891432173, 44671546, 941616686, 292875520, 876927014, 682858550, 942528013, 416491423, 4653487, 676555761, 2489297, 361846701, 686443358, 879875769, 91184601, 15439416, 558237173, 404140841, 631359651, 403414487, 103393750, 741274684, 546207955, 507600399, 562826389, 625457670, 477181692, 513302253, 876454335, 962370786, 465430109, 875410393, 681523014, 508882993, 734251846, 692760603, 376787886, 161882526, 658718628, 32642757, 317488330, 313581086, 624876775, 449477112, 612805515, 709078704, 376014080, 354660003, 676736234, 730047290, 10562672, 148014836, 760768774, 528567488, 869217498, 355676915, 122054706, 280415765, 712488264, 590404130, 21069838, 551110603, 313856070, 944892718, 728632982, 894098138, 939770583, 604837319, 924587415, 130286973, 489446560, 30407051, 396022255, 842936539, 322414686, 314582707, 226797374, 337026559, 309543384, 816976996, 956297634, 198350080, 556047734, 815917387, 14728176, 63749114, 345225320, 131354830, 61997083, 470355874, 859786431, 420649752, 656834306, 823363088, 854484404, 9346700, 597157723, 313812358, 119832585, 964021929, 105834742, 238318936, 966031671, 789654534, 389540161, 338015970, 164729724, 510634493, 68811418, 187593532, 934824704, 443021193, 832773862, 926839522, 376916994),1), 2)
+  }
+
+  test("test6") {
+    assertEquals(Main.maximumLength(List(756941236, 336028848, 626893475, 550698001, 971854899, 428738084, 85777754, 548985841, 91144920, 725266015, 957553852, 443913306, 851311890, 375149909, 954308523),9), 10)
+  }
+
+  test("test7") {
+    assertEquals(Main.maximumLength(List(766550818, 906436068, 842322495, 227281452, 546244193, 189773691, 795345716, 511453600, 428630063, 961418767, 909775809, 518142035, 142534445, 226680739, 14413192, 684910958, 350747094, 389127842, 551048695, 793657350, 514009257, 453239520, 297339715, 440177720, 549564290, 424329874, 721028462, 606713685, 405675142, 987741638, 666065731, 151310381, 822718111, 379985957, 411154058, 96501175, 310975, 587251167, 362674533, 748464264, 293080142, 861078168, 151734041, 806969690, 190231325, 475906098, 889477668, 796745292, 918246299, 399060393, 308556458, 54469566, 163681224, 672154960, 285832376, 620610142, 19763462, 780109108, 879360573, 958960913, 319521755, 623380309, 850421875, 339734364, 997159471, 935970929, 600635208, 147745386, 476089764, 928409354, 535786394, 421126660, 111274516, 432185353, 951792615, 561316429, 97037209, 510429606, 525877163, 884159304, 994069797, 311633424, 809248713),2), 3)
+  }
+
+  test("test8") {
+    assertEquals(Main.maximumLength(List(952490193, 622824133, 405928692, 969859413, 684428934, 527325455, 702570155, 337574627, 262974955, 972088729, 760493400, 208402756, 804884365, 883811047, 202766874, 680462324, 197117370, 897661386, 964763892, 975624339, 190022513, 41623483, 881489084, 926446355, 937111479, 516549005, 943095584, 45071193, 941508674, 335830493, 672332714, 518202143, 344728266, 853173293, 654481635, 883186794, 182111010, 874779317, 259809566, 350500171, 21996490, 138172886, 33149981, 905939030, 880967170, 162631082, 690779254, 171705177, 60148845, 153349346, 231016524, 669854204, 990078914, 379547527, 225427609, 461733862, 950792765, 306844286, 838916862, 617619634, 113366257, 195139529, 178644292, 854626497, 813735119, 524831767, 987868428, 792158694, 215680803, 168326668, 266561687, 246337990, 850244976, 652963813, 551020658, 675151284, 287302927, 682223775, 166706773, 566852251, 870051567, 88649934, 27519439, 519872645, 604054227, 310761100, 895873308, 578176877, 841544488, 258382968, 529172209, 424840686, 776103022, 323771211, 812742172, 308777308, 816213377, 407441213, 659592279, 310723900, 148014994, 20538730, 347707113, 170627081, 174926814, 842764296, 842386439, 412289806, 656100529, 197657843, 65857197, 586281132, 299689428, 661496050, 105000136, 239112305, 741548195, 704117291, 582966355, 684316056, 421686477, 119749685, 818309916, 699931190, 204994751, 766688195, 501775473, 615870358, 278650568, 446224512, 286942104, 855451447, 436139024, 872066703, 281870388, 366134906, 326541827, 607697848, 91130137, 660226268, 386913644, 75261165, 447760221, 261876585, 430727981, 681608670, 209357432, 989718616, 254988008, 884267480, 170065820, 338193746, 657070222, 685710733, 604201755, 382647977, 405175889, 937286704, 719345831, 187746316, 432355951, 568682509, 768302292, 165254732, 317884011, 38705733, 158660679, 408464567, 706771625, 858558360, 857163329, 797128416, 335766767, 278690069, 642520218, 418103867, 947746893, 250383291, 303035276, 310504389, 653633116, 326452166, 869124008, 925886240, 606391113, 760226974, 364371596, 158674119, 991781019, 796930501, 2139061, 90881255, 581287506, 902007074, 234182494, 888690703, 374714881, 679248921, 291475262, 616486558, 876071114, 157497006, 616706784, 411985771, 770235817, 106016028, 142470056, 139870812, 559088009, 648754817, 288118115, 243289585, 929249213, 306472304, 556731590, 347185806, 124190710, 304809826, 942762975, 510726184, 578242639, 383719183, 205491035, 355234742, 981412363, 26629208, 823200445, 614848017, 492563982, 261348499, 411888102, 503595423, 687938954, 677425261, 199880165, 846656760, 400868850, 99655429, 476737261, 437481507, 663227830, 25406021, 419704593, 547192406, 651124877, 855495187, 743523172, 998216275, 96450354, 24427597, 53692975, 764580717, 683743595, 70135174, 860598696, 859326828, 594914209, 36855796, 591571002, 464736610, 129965077, 701568663, 846779480, 38900117, 126314493, 568276570, 401923199, 839766771, 287786203, 131958805, 557972122, 503621532, 16387294, 465006687, 533629310, 441575190, 760494056, 282865241, 625005456, 945830662, 709943732, 292221151, 179873840, 216336531, 536660633, 47776097, 793220905, 57487697, 173539575, 16443039, 221055679, 337504932, 11385936, 265110318, 819315490, 160577936, 186620220, 481355694, 410634094, 800948523, 348843218, 912895882, 43059167, 923562124, 831749585, 438843040, 157341496, 176461655, 943396961, 470460673, 309297065, 380421178, 352330482, 285531427, 756774034, 125517542, 920012345, 93108971),1), 2)
+  }
+
+  test("test9") {
+    assertEquals(Main.maximumLength(List(166136514, 121501069, 819268421, 996909151, 666575839, 541443609, 7706451, 89798190, 975854495, 614031739, 789100479, 766517129, 943463720, 515084327, 163189379, 299070968, 245046802, 568034583, 268509159, 65891607, 354398193, 337134547, 974949739, 420157853, 110734465, 584545525, 514621850, 58185804, 830790963, 638219138, 82116660, 400356349, 498820256, 753164558, 579431294, 828544930, 256711179, 610891435, 367244257, 685012844, 153075263, 538925394, 151492281, 710294327, 946494292, 553565834, 31085508, 126512892, 644412249, 990248268, 737915622, 276941384, 191702591, 347433388, 767424495, 286791323, 688214920, 198524829, 102207523, 490530977, 661413988, 844298633, 640323442, 645885918, 369474665, 947582676, 811528952, 560202399, 201335332, 255442212, 918206560, 155086256, 461260585, 794465266, 294977082, 72359748, 434821860, 658021083, 133006978, 927209129, 268765584, 509281534, 822799342, 75194648, 925599283, 360458811, 756438750, 623837200, 881244020, 756356446, 968138490, 369084318, 134761876, 661448279, 565063531, 404410547, 610392398, 604820171, 935286640, 920067740, 444678795, 167417564, 258321288, 997296436, 220987238, 279059743, 187367765, 859448591, 564039123, 803408975, 150042322, 307671736, 696614477, 773298090, 181979755, 914018993, 198946164, 11556104, 257168447, 526341545, 341262481, 235727325, 838260040, 272657750, 977373789, 668955751, 650533716, 190754684, 871925241, 877718267, 565264642, 824672096, 626516766, 691952762, 921668768, 963325328, 315535461, 355893231, 143284008, 606082896, 510934338, 777389586, 753382270, 589212639, 462838388, 242968002, 109712214, 704028498, 573432950, 560850912, 341558848, 416310414, 246570536, 303323128, 292033142, 563160363, 923212087, 794937067, 14238289, 816347668, 437582650, 154506393, 916642905, 597771193, 947233003, 907165070, 628268892, 649413096, 457463638, 634737676, 2787027, 136051403, 60721945, 87802610, 778465317, 945642013, 482146092, 120346448, 268405150, 680779877, 949626043, 885795442, 369203304, 614790065, 686675444, 721147079, 404931489, 325608038, 799763530, 812514111, 322334029, 41960004, 98737859, 774491986, 473161838, 854817714, 55564799, 610759827, 473579724, 532921739, 144772207, 524367636, 885161046, 93978226, 442554162, 378694701, 399039972, 363891492, 59618362, 7873541, 987083408, 373052832, 735047065, 409398354, 719466302, 577059175, 546373803, 641895803, 812909458, 620410379, 208944493, 911380041, 737495506, 459237783, 267886235, 880440379, 751500176, 930875517, 588330440, 156948160, 75636017, 150470645, 356421639, 184913391, 381612864, 793878014, 537692251, 99687736, 808407828, 173644552, 492032091, 498857009, 763689568, 310749126, 541021190, 207145878, 350333428, 448732359, 349757320, 304075276, 542327546, 703546016, 66637224, 979504700, 671484019, 244339711, 930245090, 371323099, 338985100, 402958680, 372362155, 43760086, 165246680, 908901097, 716569252, 831389622, 448012015, 999259741, 230392983, 942018588, 781749220, 603187886, 124113316, 976540496, 768526445, 314799244, 812189464, 848042097, 562988395, 552631348, 116343573, 311047215, 802477476, 25783868, 64758483, 762917256, 250783758, 349671753, 554733767, 822715501, 900225346, 993082454, 514054420, 93504178, 84785904, 885832003, 145504473, 14400156, 972462806, 810591134, 568145125, 503794692, 939394406, 505714897, 18161315, 878436240, 473028339, 715541534, 975710752, 326260536, 50535073, 717069971, 167846524, 337841543, 100105267, 128371237, 949255911, 541698001, 570915335, 994888439, 888608531, 225067188, 485253240, 845071026, 889345603, 148535663, 923640144, 490807026, 998127812, 668018654, 876737264, 856070707, 966640000, 795372492, 730738997, 665884011, 639572103, 479425357, 30264519, 14925560, 731607145, 555132512, 177762943, 867419666, 598267225, 82695330, 765158109, 852209747, 59531094, 383478657, 963053183, 486942850, 880301481, 990343091, 713165975, 979571552, 527767876, 494375359, 199999618, 497690433, 919511247, 219064159, 54727708, 953021243, 504913329, 148395691, 840027895, 171471158, 243503127, 74473955, 443917113, 965775598, 709361068, 904814778, 648747792, 578243609, 680863160, 118153912, 700015204, 408876381, 138818429, 945013685, 611303397, 910824155, 317464717, 775019256, 725922803, 805356655, 32843994, 296785762, 322565856, 553444737, 554023185, 921946658, 655494293, 620103803, 61503902, 193096132, 148945455, 111163159, 484521864, 508885384, 486583549, 59757825, 979514899, 210731982, 130298360, 293533965, 326488262, 590399197, 292468128, 717267658, 360219071, 465181876, 765442431, 439752474, 162929690, 379128370, 278202430, 24279301, 350194618, 737572087, 584283061, 518603933, 82904376, 995452992, 395601185, 11320160, 29970360, 20311332, 50070865, 440709407, 18290907, 946070021, 152942281, 20921611, 689354440, 950701007, 456558546, 55135046, 909387311, 863846994, 561247584, 305014499, 404176119, 290598320, 234715431, 525227679, 980417944, 299917218, 619987345, 918661705, 590221155, 739336537, 167855991, 65662443, 131542406, 968720310, 245793016, 797203815, 720707468, 538861745, 805627716, 410229618, 558947018, 991033192, 743393960, 921778093, 677451165, 100542022, 777580921, 985399292),14), 15)
+  }
+
+  test("test10") {
+    assertEquals(Main.maximumLength(List(30310731, 713612867, 377747666, 745879384, 182506266, 318141417, 37837900, 801226303, 855556813, 4927315, 635491766, 857422516, 690396008, 962861064, 668626744, 508554135, 413867870, 135019314, 999918996, 972125262, 516652617, 495099313, 544227835, 263082687, 980869025, 580089395, 822230466, 904782190, 823942453, 880978999, 955039523, 425383754, 325949086, 334999290, 334481199, 852176791, 923281576, 694305249, 572087466, 456414537, 154302218, 599633727, 486799911, 332162113, 709404001, 781471246, 339609892, 846136376, 387515946, 107651676, 533996716, 204060655, 608482726, 918349728, 813657314, 691210287, 742270208, 759695303, 703778237, 366313361, 665441481, 721347784, 957354016, 433201191, 882353859, 681491491, 543894849, 560864533, 620320519, 623229139, 849428926, 183018741, 835197617, 363068219, 930223264, 291017879, 174101651, 197027393, 820053026, 364405798, 305215607, 940458809, 354441620, 908966611, 502446253, 424429293, 646937354, 405235545, 176914745, 138577940, 324369884, 36946315, 771373605, 939913372, 317345340, 252971576, 600227813, 803994040, 701143084, 908412005, 157342957, 83695239, 330843377, 799876964, 63977929, 97108637, 126437390, 631806605, 943838335, 865109124, 981520873, 642162653, 394690926, 379081376, 254772807, 140019709, 269867764, 219956490, 707603227, 964556025, 486195895, 74669466, 73344017, 923856509, 706308363, 147992516, 933681054, 492774540, 575808791, 718209373, 173178416, 467981827, 377037689, 832845297, 276557833, 803802475, 536029433, 463762736, 875907990, 468478773, 40420857, 436144401, 645398414, 902095243, 151093072, 382376308, 761092460, 26730769, 996269670, 329408068, 185550436, 370154312, 293819145, 324953751, 609720083, 796837707, 876921434, 117838082, 32752533, 985334976, 515543594, 377109066, 527391286, 224483199, 227808831, 202712397, 538810786, 835809215, 73933764, 313434375, 976275969, 992064022, 288799941, 357580426, 683988312, 891477669, 990124706, 42946152, 662816846, 653484060, 422761316, 38137427, 188520676, 763956232, 164429968, 136904867, 115165709, 154164868, 845094887, 210119921, 851561948, 633061037, 225717836, 336734478, 947043829, 431779686, 985140790, 617061558, 249555367, 176082010, 468484135, 56667027, 898049945, 225934464, 306761842, 207271240, 263952892, 421993216, 729280233, 883563042, 996151535, 465482987, 936345627, 391848911, 381548038, 618583148, 628021097, 74821880, 221342892, 716554145, 603469436, 648463335, 968533421, 488878722, 419851889, 877457547, 121647117, 225276066, 884182236, 41817514, 916422921, 749288713, 653316339, 579461058, 603562496, 606709642, 364830954, 520232531, 588289871, 609278403, 656817591, 134603403, 749295702, 978501583, 949531900, 361899311, 217068122, 360060442, 33534711, 90728890, 460273308, 402852973, 72740453, 455372706, 808899887, 145039818, 868574733, 544226874, 908265708, 738314108, 430319568, 660675206, 373244984, 754828918, 396496049, 791800505, 257213806, 695543719, 703244793, 737036153, 381172765, 540869006, 439264303, 412564036, 753087057, 615617451, 1901523, 915204691, 147176573, 601484374, 854728566, 386392, 433180051, 232638998, 857903548, 171941405, 282766922, 973925304, 320143503, 126521460, 339240249, 503430570, 18579376, 629462089, 996229297, 285771534, 359199209, 468760989, 280869853, 602796936, 160084886, 350905658, 712303483, 294227919, 856169258, 349735444, 370337070, 810847894, 745696013, 813138404, 57137201, 614442379, 167207929, 329954140, 169335122, 366631254, 139723747, 896527678, 845880260, 549760715, 289588245, 231205843, 729739438, 736655510, 146608293, 554456678, 762746669, 939613908, 450798013, 878449248, 155536213, 555907989, 828305323, 840940690, 536351912, 477391789, 856302574, 371376071, 663062492, 717171600, 798437082, 248064267, 687223252, 226894234, 936857843, 145181801, 707240158, 460288033, 633322032, 584941253, 753400503, 341643191, 640361978, 414135457, 745170801, 241474003, 846492138, 348887201, 380579023, 552088853, 65321988, 281501713, 395863216, 292341550, 499979820, 237014420, 30442967, 601694725, 56791210, 960687845, 88682241, 442226289, 452972848, 234841349, 938942289, 748068098, 201946953, 748625423, 978179532, 897862142, 573602243, 630907441, 184504872, 877474379, 553294196, 86833872, 693488158, 70463941, 943530484, 948579994, 862814135, 246368500, 873270958, 338057830, 983903368, 59855896, 732486271, 663161834, 661549632, 177814245, 626640660, 345092871, 124263576, 373533270, 352176523, 998412288, 878367251, 598936226, 701959086, 400145508, 108114596, 164270870, 900938666, 677851751, 637324581, 130274326, 64750070, 808508753, 198239841, 423872388, 706671863, 740168813, 581292595, 474388770, 586876673, 910163756, 281249654, 291830158, 264636044, 884493730, 775236934, 338878579, 74271597, 651988856, 652734110, 468664633, 167413426, 418342003, 461082020, 556390393, 569901540, 299278021, 223198118, 631487018, 622383043, 280220107, 68431263, 932537776, 660154830, 361360455, 678137717, 626818251, 618585792, 9145884, 374503156, 220763172, 891811671, 645510829, 386360502, 777618158, 206911033, 814442829, 941766602, 10306076, 492632233, 662948696, 964641886, 353516876, 449058781, 251692496, 163784672, 851101539, 518174049, 369388051, 740930222, 663907765, 466069173, 91728049, 117096284, 324752241, 239103320, 278942449, 129857746, 972200598, 535422884, 345675182, 867547456, 980177106),10), 11)
+  }
+
+}

find_the_maximum_length_of_a_good_subsequence_ii/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, maximumLength(new ArrayList<>(Arrays.asList(1,2,1,1,3)), 2));
+}
+@Test
+public void test2() {
+    assertEquals(2, maximumLength(new ArrayList<>(Arrays.asList(1,2,3,4,5,1)), 0));
+}
+
+}

find_the_maximum_length_of_valid_subsequence_i/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(4, maximumLength(new ArrayList<>(Arrays.asList(1,2,3,4))));
+}
+@Test
+public void test2() {
+    assertEquals(6, maximumLength(new ArrayList<>(Arrays.asList(1,2,1,1,2,1,2))));
+}
+@Test
+public void test3() {
+    assertEquals(2, maximumLength(new ArrayList<>(Arrays.asList(1,3))));
+}
+
+}

find_the_maximum_length_of_valid_subsequence_ii/haskell_tests/Main.hs

@@ -0,0 +1,45 @@
+
+module Main where
+import Test.HUnit
+
+--Program start
+
+--Program end
+
+-- Test cases
+
+test1 :: Test
+test1 = TestCase (assertEqual "for (maximumLength [1,2,3,4,5] 2)," 5 (maximumLength [1,2,3,4,5] 2))
+
+test2 :: Test
+test2 = TestCase (assertEqual "for (maximumLength [1,4,2,3,1,4] 3)," 4 (maximumLength [1,4,2,3,1,4] 3))
+
+test3 :: Test
+test3 = TestCase (assertEqual "for (maximumLength [5666738, 5833160, 3076685, 8180120, 5929886, 4983393, 1613148, 2983138, 54000, 7931452, 2079819, 7055417, 7914923, 24008, 5985317, 9332595, 5512226, 1445954, 7539029, 3710155] 696)," 3 (maximumLength [5666738, 5833160, 3076685, 8180120, 5929886, 4983393, 1613148, 2983138, 54000, 7931452, 2079819, 7055417, 7914923, 24008, 5985317, 9332595, 5512226, 1445954, 7539029, 3710155] 696))
+
+test4 :: Test
+test4 = TestCase (assertEqual "for (maximumLength [6047072, 98741, 8984146, 5536188, 6016195, 1310400, 2625558, 9493761, 7873055, 8630685, 8717909, 147966, 5272047, 9801390, 2615060, 4521233, 3716897, 7519860, 2429393, 2156534, 2992707, 3406565, 8135288, 5284825, 3817989, 5021454, 7762994, 4253820, 2715970, 6031495, 9866044, 3485773, 3090258, 8955762, 2894077, 4555263, 4170494, 9363773, 8961764, 1631505, 4991868, 8027767, 9244952, 9846545, 9079928, 9539985, 4192893, 6175164, 3464062, 2349941, 4735432, 9566407, 1987972, 5736784, 8630030, 7248817, 8503380, 1841055, 1020608, 7023782, 99125, 9042958, 4683875, 263884, 2140670, 1877196, 9972966, 7741247, 4103831, 9657721, 9088642, 5879802, 1293213, 9735453, 9927402, 6964158, 5428760, 7915977, 4398892, 8970197, 5798169, 2739972, 2711593, 7338980, 5483798, 493782, 9063843, 3535274, 8363706, 9333858, 7338766, 9399042, 7668315, 9243080, 302292, 4340976, 5155158, 2252850, 5218166, 2390239, 9993534, 7518932, 1260722, 3223733, 7078122, 554640, 6882224, 3990171, 2254840, 711951, 5227962, 4341906, 8265561, 3990738, 8370730, 9439723, 5280672, 3404340, 7006735, 4412792, 4311056, 1387266, 2061091, 4724236, 5394193, 1718039, 6263375, 9010112, 6774047, 6226055, 6739726, 8713637, 6493305, 3034292, 3658274, 8903418, 2149313, 2495482, 6400151, 649911, 4701644, 5182968, 9135541, 520529, 3491980, 2617850, 5344666, 546982, 855459, 9047307, 4337507, 5850068, 2429508, 5060912, 2281840, 3729530, 4159283, 5462973, 406369, 2149500, 435990, 5104488, 3411179, 7523837, 6777136, 5422689, 5320577, 1623256, 5307336, 1565039, 6061996, 9649175, 9652269, 1694104, 7166144, 121304, 8286885, 5006223, 1084728, 4595993, 2291651, 8567221, 9374616, 2150095, 2868264, 7283466, 5395194, 6340601, 811720, 3707968, 7375340, 5009678, 7632237, 3250095, 9535561, 7931767, 1783182, 4262378, 6036083, 9912783, 190190, 559433, 5634006, 7298847, 2058448, 5283556, 6986613, 7394596, 5172011, 4619271, 4271092, 316760, 2399238, 7589843, 2414019, 3620607, 69921, 1189775, 7589277, 7620540, 1325718, 7077110, 265303, 9485528, 6663530, 883621, 1925883, 5507639, 8547856, 689729, 5296827, 3808248, 7096824, 9755556, 9603604, 1353469, 3329211, 4156234, 5816295, 6436996, 442526, 4479626, 9400866, 373182, 5222046, 2948706, 8885283, 9891258, 5289888, 7568504, 3819942, 2406814, 1913699, 3182309, 3286823, 49532, 9744747, 1816820, 6849994, 1597622, 6057667, 4722912, 6997268, 8073871, 8880753, 8270843, 6242433, 7625459, 6563938, 4876276, 5483193, 6719547, 9850866, 2415529, 3427322, 7543811, 5867236, 3397942, 5418789, 2122390, 3111369, 434087, 1338008, 6964209, 6890216, 7824140, 5816813, 5077407, 8277312, 8055094, 592390, 5618549, 374779, 2368545, 6410866, 5793767, 7714735, 7437483, 2322221, 327799, 359573, 2148943, 5703958, 1612899, 981071, 9316951, 4127189, 4842565, 2156153, 9382809, 5089585, 2947818, 4722358, 2983076, 6340398, 7926500, 2974778, 8578782, 5942676, 730240, 1814032, 3216539, 6179830, 1264409, 5986885, 9645675, 4443777, 1827562, 2284857, 957776, 2245377, 3240211, 1603808, 7490811, 1545097, 1911338, 9255535, 8524190, 4275383, 7227022, 7083403, 5102173, 2003887, 2131606, 3869027, 6436898, 7099328, 5148207, 629296, 9903936, 3148804, 9782862, 823441, 6875933, 4370514, 8340993, 3491666, 2795889, 1786809, 3885657, 674211, 3215848, 9239906, 1320840, 4197400, 8437731, 1629069, 8900889, 2605355, 4471206, 3964019, 8687346] 564)," 6 (maximumLength [6047072, 98741, 8984146, 5536188, 6016195, 1310400, 2625558, 9493761, 7873055, 8630685, 8717909, 147966, 5272047, 9801390, 2615060, 4521233, 3716897, 7519860, 2429393, 2156534, 2992707, 3406565, 8135288, 5284825, 3817989, 5021454, 7762994, 4253820, 2715970, 6031495, 9866044, 3485773, 3090258, 8955762, 2894077, 4555263, 4170494, 9363773, 8961764, 1631505, 4991868, 8027767, 9244952, 9846545, 9079928, 9539985, 4192893, 6175164, 3464062, 2349941, 4735432, 9566407, 1987972, 5736784, 8630030, 7248817, 8503380, 1841055, 1020608, 7023782, 99125, 9042958, 4683875, 263884, 2140670, 1877196, 9972966, 7741247, 4103831, 9657721, 9088642, 5879802, 1293213, 9735453, 9927402, 6964158, 5428760, 7915977, 4398892, 8970197, 5798169, 2739972, 2711593, 7338980, 5483798, 493782, 9063843, 3535274, 8363706, 9333858, 7338766, 9399042, 7668315, 9243080, 302292, 4340976, 5155158, 2252850, 5218166, 2390239, 9993534, 7518932, 1260722, 3223733, 7078122, 554640, 6882224, 3990171, 2254840, 711951, 5227962, 4341906, 8265561, 3990738, 8370730, 9439723, 5280672, 3404340, 7006735, 4412792, 4311056, 1387266, 2061091, 4724236, 5394193, 1718039, 6263375, 9010112, 6774047, 6226055, 6739726, 8713637, 6493305, 3034292, 3658274, 8903418, 2149313, 2495482, 6400151, 649911, 4701644, 5182968, 9135541, 520529, 3491980, 2617850, 5344666, 546982, 855459, 9047307, 4337507, 5850068, 2429508, 5060912, 2281840, 3729530, 4159283, 5462973, 406369, 2149500, 435990, 5104488, 3411179, 7523837, 6777136, 5422689, 5320577, 1623256, 5307336, 1565039, 6061996, 9649175, 9652269, 1694104, 7166144, 121304, 8286885, 5006223, 1084728, 4595993, 2291651, 8567221, 9374616, 2150095, 2868264, 7283466, 5395194, 6340601, 811720, 3707968, 7375340, 5009678, 7632237, 3250095, 9535561, 7931767, 1783182, 4262378, 6036083, 9912783, 190190, 559433, 5634006, 7298847, 2058448, 5283556, 6986613, 7394596, 5172011, 4619271, 4271092, 316760, 2399238, 7589843, 2414019, 3620607, 69921, 1189775, 7589277, 7620540, 1325718, 7077110, 265303, 9485528, 6663530, 883621, 1925883, 5507639, 8547856, 689729, 5296827, 3808248, 7096824, 9755556, 9603604, 1353469, 3329211, 4156234, 5816295, 6436996, 442526, 4479626, 9400866, 373182, 5222046, 2948706, 8885283, 9891258, 5289888, 7568504, 3819942, 2406814, 1913699, 3182309, 3286823, 49532, 9744747, 1816820, 6849994, 1597622, 6057667, 4722912, 6997268, 8073871, 8880753, 8270843, 6242433, 7625459, 6563938, 4876276, 5483193, 6719547, 9850866, 2415529, 3427322, 7543811, 5867236, 3397942, 5418789, 2122390, 3111369, 434087, 1338008, 6964209, 6890216, 7824140, 5816813, 5077407, 8277312, 8055094, 592390, 5618549, 374779, 2368545, 6410866, 5793767, 7714735, 7437483, 2322221, 327799, 359573, 2148943, 5703958, 1612899, 981071, 9316951, 4127189, 4842565, 2156153, 9382809, 5089585, 2947818, 4722358, 2983076, 6340398, 7926500, 2974778, 8578782, 5942676, 730240, 1814032, 3216539, 6179830, 1264409, 5986885, 9645675, 4443777, 1827562, 2284857, 957776, 2245377, 3240211, 1603808, 7490811, 1545097, 1911338, 9255535, 8524190, 4275383, 7227022, 7083403, 5102173, 2003887, 2131606, 3869027, 6436898, 7099328, 5148207, 629296, 9903936, 3148804, 9782862, 823441, 6875933, 4370514, 8340993, 3491666, 2795889, 1786809, 3885657, 674211, 3215848, 9239906, 1320840, 4197400, 8437731, 1629069, 8900889, 2605355, 4471206, 3964019, 8687346] 564))
+
+test5 :: Test
+test5 = TestCase (assertEqual "for (maximumLength [521419, 4724126, 2319089, 5152298, 4398845, 5355104, 3436896, 9131500, 4716913, 4778303, 541725, 6369024, 1147692, 2907150, 6730845, 973592, 868082, 788461, 8046938, 1329259, 7751076, 1928531, 743446, 4136510, 1493143, 7895147, 3178694, 9326993, 456922, 739351, 9874393, 4683289, 1342004, 8448246, 4290803, 4215446, 9391933, 1870897, 6075113, 4181833, 6757828, 9110268, 1977611, 3873075, 3117410, 7436528, 9406601, 3136485, 7863939, 5706249, 5280495, 7308478, 9428065, 4944625, 4479170, 3945928, 7343336, 5146704, 2880213, 3668073, 3981866, 8893537, 4811317, 2893951, 3856884, 8249663, 7480352, 4276569, 920591, 4959695, 6103693, 3659192, 1687582, 2150300, 1622418, 5837247, 403494, 5161334, 2412302, 5513664, 133347, 4540293, 333892, 3729368, 1526907, 4869168, 2666494, 2635582, 6374107, 4189521, 9772154, 5467844, 2333963, 1046336, 6276799, 8805989, 2138492, 8939289, 4912190, 3541951, 9912452, 542693, 6605063, 6084501, 5726126, 7294586, 383237, 6574327, 3025578, 8723168, 2283908, 9043048, 7595583, 877235, 3833274, 3502303, 7784408, 7956154, 536567, 5841025, 861460, 502188, 7412108, 9979034, 8878316, 9140356, 7342859, 7298729, 1404717, 2311500, 2748498, 6614627, 6949444, 2209840, 9738261, 9427623, 2353605, 325764, 1263026, 2708663, 5849094, 4209937, 2471438, 7629853, 6682812, 1021662, 1062298, 4943862, 8456821, 8561025, 9543409, 2244916, 9612052, 3368765, 6963075, 6758800, 3403828, 2207842, 5835809, 4591383, 3372528, 7802409, 2537901, 7692983, 455731, 8822404, 2653340, 1889773, 4808027, 6826495, 1728424, 3391832, 911410, 4125807, 9365809, 3813871, 9405929, 1028290, 3183035, 7361029, 459190, 8330601, 9294912, 7016171, 7808454, 204091, 9770150, 9173344, 130300, 6614262, 6326916, 689161, 5960014, 774415, 2865417, 9265348, 3423492, 9046872, 3318872, 9814738, 6471935, 7417437, 2279155, 6770773, 1301612, 7349538, 2827325, 3490743, 3999657, 2173659, 1413044, 7980078, 7552335, 9981412, 1864276, 6800608, 5978473, 8147836, 7181442, 1560735, 7518240, 533956, 5317213, 8936411, 7675214, 113927, 1592905, 4200248, 5901938, 1885265, 7128106, 9272719, 8093598, 3147407, 2431169, 399647, 9580733, 5451219, 2203110, 3446692, 8497490, 8678770, 9403114, 2307292, 3990574, 2628821, 2926104, 9989554, 7019949, 1536789, 4499270, 4951565, 5929628, 1978377, 2376820, 6333842, 7005918, 6581390, 6440500, 5070245, 1752709, 9557529, 2067018, 1457761, 4624774, 7998799, 1999516, 7818143, 5071268, 809062, 3165834, 9983060, 9553059, 2413038, 5688754, 8441919, 6158057, 5417205, 7353564, 8127658, 3066170, 3718768, 2040905, 9405205, 8185241, 6696292, 8527488, 2754475, 3254102, 2214870, 886742, 3526595, 962223, 9009880, 9900964, 3782329, 2657928, 569849, 5026641, 2489928, 3160429, 7117508, 5784893, 9485100, 8808766, 4292046, 4942010, 2770884, 8218341, 4815917, 9602311, 7224738, 746664, 9581196, 5046124, 690829, 9750273, 9027964, 599075, 3430962, 4376704, 8022487, 2611004, 4380904, 9755458, 6480704, 1031427, 8847017, 5206666, 3803008, 6961472, 5999880, 63543] 287)," 7 (maximumLength [521419, 4724126, 2319089, 5152298, 4398845, 5355104, 3436896, 9131500, 4716913, 4778303, 541725, 6369024, 1147692, 2907150, 6730845, 973592, 868082, 788461, 8046938, 1329259, 7751076, 1928531, 743446, 4136510, 1493143, 7895147, 3178694, 9326993, 456922, 739351, 9874393, 4683289, 1342004, 8448246, 4290803, 4215446, 9391933, 1870897, 6075113, 4181833, 6757828, 9110268, 1977611, 3873075, 3117410, 7436528, 9406601, 3136485, 7863939, 5706249, 5280495, 7308478, 9428065, 4944625, 4479170, 3945928, 7343336, 5146704, 2880213, 3668073, 3981866, 8893537, 4811317, 2893951, 3856884, 8249663, 7480352, 4276569, 920591, 4959695, 6103693, 3659192, 1687582, 2150300, 1622418, 5837247, 403494, 5161334, 2412302, 5513664, 133347, 4540293, 333892, 3729368, 1526907, 4869168, 2666494, 2635582, 6374107, 4189521, 9772154, 5467844, 2333963, 1046336, 6276799, 8805989, 2138492, 8939289, 4912190, 3541951, 9912452, 542693, 6605063, 6084501, 5726126, 7294586, 383237, 6574327, 3025578, 8723168, 2283908, 9043048, 7595583, 877235, 3833274, 3502303, 7784408, 7956154, 536567, 5841025, 861460, 502188, 7412108, 9979034, 8878316, 9140356, 7342859, 7298729, 1404717, 2311500, 2748498, 6614627, 6949444, 2209840, 9738261, 9427623, 2353605, 325764, 1263026, 2708663, 5849094, 4209937, 2471438, 7629853, 6682812, 1021662, 1062298, 4943862, 8456821, 8561025, 9543409, 2244916, 9612052, 3368765, 6963075, 6758800, 3403828, 2207842, 5835809, 4591383, 3372528, 7802409, 2537901, 7692983, 455731, 8822404, 2653340, 1889773, 4808027, 6826495, 1728424, 3391832, 911410, 4125807, 9365809, 3813871, 9405929, 1028290, 3183035, 7361029, 459190, 8330601, 9294912, 7016171, 7808454, 204091, 9770150, 9173344, 130300, 6614262, 6326916, 689161, 5960014, 774415, 2865417, 9265348, 3423492, 9046872, 3318872, 9814738, 6471935, 7417437, 2279155, 6770773, 1301612, 7349538, 2827325, 3490743, 3999657, 2173659, 1413044, 7980078, 7552335, 9981412, 1864276, 6800608, 5978473, 8147836, 7181442, 1560735, 7518240, 533956, 5317213, 8936411, 7675214, 113927, 1592905, 4200248, 5901938, 1885265, 7128106, 9272719, 8093598, 3147407, 2431169, 399647, 9580733, 5451219, 2203110, 3446692, 8497490, 8678770, 9403114, 2307292, 3990574, 2628821, 2926104, 9989554, 7019949, 1536789, 4499270, 4951565, 5929628, 1978377, 2376820, 6333842, 7005918, 6581390, 6440500, 5070245, 1752709, 9557529, 2067018, 1457761, 4624774, 7998799, 1999516, 7818143, 5071268, 809062, 3165834, 9983060, 9553059, 2413038, 5688754, 8441919, 6158057, 5417205, 7353564, 8127658, 3066170, 3718768, 2040905, 9405205, 8185241, 6696292, 8527488, 2754475, 3254102, 2214870, 886742, 3526595, 962223, 9009880, 9900964, 3782329, 2657928, 569849, 5026641, 2489928, 3160429, 7117508, 5784893, 9485100, 8808766, 4292046, 4942010, 2770884, 8218341, 4815917, 9602311, 7224738, 746664, 9581196, 5046124, 690829, 9750273, 9027964, 599075, 3430962, 4376704, 8022487, 2611004, 4380904, 9755458, 6480704, 1031427, 8847017, 5206666, 3803008, 6961472, 5999880, 63543] 287))
+
+test6 :: Test
+test6 = TestCase (assertEqual "for (maximumLength [7915949, 1022332, 3765020, 7134429, 4939013, 5606624, 8369811, 4045493, 5402808, 5098903, 5018127, 6400570, 8564015, 9571054, 5204721, 8279325, 8116467, 7678487, 1201352, 2620279, 4443193, 8514009, 1322191, 4626213, 4676628, 4415277, 5606432, 8575850, 9856571, 6272689, 5567345, 325104, 3131488, 4277154, 7276167, 2408294, 6324996, 9063813, 218769, 4253226, 8480489, 4365605, 7309748, 4678698, 8567311, 8167161, 1823637, 5477093, 8917720, 5929539, 5406721, 4901312, 5521462, 6281001, 3234391, 3230702, 8572462, 7343212, 3622740, 4982491, 4625493, 8869515, 5944811, 7057570, 5063514, 4327448, 2660517, 1752759, 4286722, 5666776, 7485968, 5598413, 2155412, 2453027, 9860204, 3057631, 2608145, 9784707, 8700969, 6727131, 565341, 6507764, 5937986, 2481540, 4087833, 6802849, 1796691, 3166824, 8560914, 8661512, 6577318, 6634578, 1047714, 4509571, 1019511, 6987034, 5169909, 4677532, 1342838, 8109243, 8108682, 4311267, 7885046, 8666486, 9032615, 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6565267, 6888265, 5387873, 9997953, 2010477, 4374087, 9222488, 7534022, 1325499, 5289822, 8700941, 5915531, 5249700, 7072433, 9792347, 4532846, 7912906, 1039534, 4168982, 6853010, 1357417, 5126361, 7540084, 9695497, 7180550, 9410891, 7530609, 5384124, 4510241, 3925032, 5468938, 5276335, 3207198, 538726, 6900227, 4598688, 452221, 4933923, 13427, 3035004, 15234, 1670059, 9168754, 2235153, 4092614, 6106470, 7649823, 9015469, 3361025, 7174708, 8854628, 7432016, 3359259, 4525190, 8107442, 6298215, 772026, 3858262, 3217437, 5241079, 7786987, 7883141, 2353943, 1567658, 6890297, 1874658, 2436660, 2086779, 1893785, 4983255, 7283345, 1021215, 2105612, 6969603, 3804199, 1594154, 7675831, 3331281, 3409536, 7962299, 7535841, 9530738, 1093826, 3439511, 7926518, 8217089, 9393979, 1009464, 5321964, 2434417, 3250551, 1476750, 250405, 5336579, 7378430, 5647567, 3137697, 614103, 3051315, 2990285, 3541382, 9883804, 3431077, 7360940, 3781496, 6325587, 4096126, 5561001, 9099845, 4924693, 9022491, 4782787, 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6312087, 3114975, 7693928, 5692771, 7915138, 5680115, 8859382, 5513213, 8677152, 8552967, 1890828, 9128588, 1474473, 4000712, 5273223, 9776410, 3895586, 219326, 3375230, 5457101, 3515766, 7762810, 6731124, 812700, 757313, 1507718, 9321133, 5532052, 2632952, 6054809, 6341312, 6079019, 4657391, 3055086, 9680991, 7132221, 9518553, 8610907, 8258056, 5234329, 5321196, 6258978, 8703881, 5080072, 804610, 8370208, 3976935, 3489478, 130260, 4208566, 2202032, 9295930, 5465694, 4375167, 1319964, 5793078, 792076, 6840314, 274901, 8185087, 1160258, 7830932, 9606386, 6507481, 5840196, 8065882, 4663986, 8734133, 9805401, 3832519, 2393623, 629082, 1207599, 2449122, 6348368, 3930978, 7331484, 1548572, 3249845, 801931, 4671, 3993152, 6534296, 7954618, 4580563, 4057786, 8411645, 6106669, 7163370, 1249618, 6032016, 9302430, 98305, 4283173, 1773030, 4642798, 2480639, 902778, 7248981, 1028519, 8122999, 9120271, 1920288, 5486962, 7455828, 2241088, 8354533, 763566, 5440348, 8168887, 4116525, 1863303, 5454569, 1603654, 7431100, 4576951, 6899427, 2425430, 1899226, 3687921, 1814945, 22267, 9651632, 756503, 932249, 9002189, 8424282, 6444139, 5591633, 1772667, 2536911, 7985536, 3706723, 2020876, 5797426, 3606275, 2187101, 27665, 5898988, 1860532, 5294031, 6717874, 2390377, 9897601, 7911078, 6491609, 126271, 9763739, 4001666, 9791, 9949007, 272529, 5918115, 8987068, 8730477] 672)," 8 (maximumLength [7915949, 1022332, 3765020, 7134429, 4939013, 5606624, 8369811, 4045493, 5402808, 5098903, 5018127, 6400570, 8564015, 9571054, 5204721, 8279325, 8116467, 7678487, 1201352, 2620279, 4443193, 8514009, 1322191, 4626213, 4676628, 4415277, 5606432, 8575850, 9856571, 6272689, 5567345, 325104, 3131488, 4277154, 7276167, 2408294, 6324996, 9063813, 218769, 4253226, 8480489, 4365605, 7309748, 4678698, 8567311, 8167161, 1823637, 5477093, 8917720, 5929539, 5406721, 4901312, 5521462, 6281001, 3234391, 3230702, 8572462, 7343212, 3622740, 4982491, 4625493, 8869515, 5944811, 7057570, 5063514, 4327448, 2660517, 1752759, 4286722, 5666776, 7485968, 5598413, 2155412, 2453027, 9860204, 3057631, 2608145, 9784707, 8700969, 6727131, 565341, 6507764, 5937986, 2481540, 4087833, 6802849, 1796691, 3166824, 8560914, 8661512, 6577318, 6634578, 1047714, 4509571, 1019511, 6987034, 5169909, 4677532, 1342838, 8109243, 8108682, 4311267, 7885046, 8666486, 9032615, 2444428, 8795894, 5147554, 4148694, 1302403, 6741041, 1619943, 9384041, 4345082, 2616183, 3917891, 7830114, 3351657, 6550146, 4111711, 2286283, 1823957, 7907925, 5269974, 1125903, 1420045, 2043872, 3417820, 9391392, 4039445, 1411976, 3626094, 4676219, 4964054, 9519230, 4374267, 8696770, 7178941, 1496062, 1473786, 1420427, 5100875, 1514145, 7902486, 9603019, 6989583, 9187262, 5841351, 7610592, 5432536, 3576294, 4287562, 3241147, 2661809, 2940350, 1639408, 4080857, 2327710, 4713352, 486401, 3820650, 2881971, 5228754, 326219, 5032371, 1744081, 8626561, 9850290, 5015201, 2863899, 1026326, 7826260, 7323357, 4984230, 7119762, 348631, 257044, 9805336, 8637674, 2775590, 1338834, 8045551, 1205039, 4426530, 3259954, 7704524, 2190859, 8076065, 6965872, 371836, 5462208, 3282264, 4096340, 6291453, 6657029, 5274437, 3817026, 8517669, 2323411, 6201596, 3422564, 2979963, 2568219, 1311210, 1288453, 7517743, 8647754, 9671625, 5660313, 5245530, 7115516, 4522110, 9162550, 7748709, 7577754, 8998683, 6565267, 6888265, 5387873, 9997953, 2010477, 4374087, 9222488, 7534022, 1325499, 5289822, 8700941, 5915531, 5249700, 7072433, 9792347, 4532846, 7912906, 1039534, 4168982, 6853010, 1357417, 5126361, 7540084, 9695497, 7180550, 9410891, 7530609, 5384124, 4510241, 3925032, 5468938, 5276335, 3207198, 538726, 6900227, 4598688, 452221, 4933923, 13427, 3035004, 15234, 1670059, 9168754, 2235153, 4092614, 6106470, 7649823, 9015469, 3361025, 7174708, 8854628, 7432016, 3359259, 4525190, 8107442, 6298215, 772026, 3858262, 3217437, 5241079, 7786987, 7883141, 2353943, 1567658, 6890297, 1874658, 2436660, 2086779, 1893785, 4983255, 7283345, 1021215, 2105612, 6969603, 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3930978, 7331484, 1548572, 3249845, 801931, 4671, 3993152, 6534296, 7954618, 4580563, 4057786, 8411645, 6106669, 7163370, 1249618, 6032016, 9302430, 98305, 4283173, 1773030, 4642798, 2480639, 902778, 7248981, 1028519, 8122999, 9120271, 1920288, 5486962, 7455828, 2241088, 8354533, 763566, 5440348, 8168887, 4116525, 1863303, 5454569, 1603654, 7431100, 4576951, 6899427, 2425430, 1899226, 3687921, 1814945, 22267, 9651632, 756503, 932249, 9002189, 8424282, 6444139, 5591633, 1772667, 2536911, 7985536, 3706723, 2020876, 5797426, 3606275, 2187101, 27665, 5898988, 1860532, 5294031, 6717874, 2390377, 9897601, 7911078, 6491609, 126271, 9763739, 4001666, 9791, 9949007, 272529, 5918115, 8987068, 8730477] 672))
+
+test7 :: Test
+test7 = TestCase (assertEqual "for (maximumLength [3923315, 655315, 3026545, 5836948, 6588206, 2815311, 5475867, 9068934, 7861468, 2453761, 8839711, 5327527, 2149460, 5241347, 8901652, 5247869, 2331353, 1626885, 2008561, 5702260, 4182350, 2139201, 101038, 3147600, 5573617, 7967604, 8653644, 9963836, 240235, 5691827, 5986158, 4053687, 7019150, 5990041, 2077228, 6656728, 5692503, 8106720, 6529398, 2876136, 5299214, 5532889, 5251714, 9183989, 9361715, 663557, 8393460, 2406041, 7953722, 8854619, 1759211, 5769738, 8764277, 6629875, 7156367, 5881963, 4286030, 8980435, 6556374, 9633898, 6389470, 5019092, 9901845, 7632312, 1404300, 3522223, 671772] 395)," 4 (maximumLength [3923315, 655315, 3026545, 5836948, 6588206, 2815311, 5475867, 9068934, 7861468, 2453761, 8839711, 5327527, 2149460, 5241347, 8901652, 5247869, 2331353, 1626885, 2008561, 5702260, 4182350, 2139201, 101038, 3147600, 5573617, 7967604, 8653644, 9963836, 240235, 5691827, 5986158, 4053687, 7019150, 5990041, 2077228, 6656728, 5692503, 8106720, 6529398, 2876136, 5299214, 5532889, 5251714, 9183989, 9361715, 663557, 8393460, 2406041, 7953722, 8854619, 1759211, 5769738, 8764277, 6629875, 7156367, 5881963, 4286030, 8980435, 6556374, 9633898, 6389470, 5019092, 9901845, 7632312, 1404300, 3522223, 671772] 395))
+
+test8 :: Test
+test8 = TestCase (assertEqual "for (maximumLength [3667457, 457901, 5487200, 8356554, 2651168, 6194358, 4234193, 392948, 4219742, 523839, 6259716, 241868, 1480404, 5768961, 9551907, 5608147, 419918, 8640266, 2461226, 203876, 8351682, 5879327, 1323810, 5204584, 6847305, 6981556, 6354276, 8329559, 4993026, 527176, 5960561, 8289947, 3548286, 5919075, 29649, 1707398, 2289587, 5599929, 699155, 1703925, 9630014, 778669, 3023493, 5744701, 6106473, 9781967, 3602607, 9637550, 3042238, 8256315, 354959, 3136129, 972646, 3080800, 1136552, 9245581, 1421673, 6621775, 3799365, 4905572, 6651029, 899037, 8050887, 7805073, 2336253, 2649628, 8034568, 7320613, 594344, 3906624, 1803202, 4057961, 7987119, 6033926, 2896316, 7968484, 6197072, 6929222, 5202378, 7450007, 4891860, 7892459, 185738, 7021335, 3117992, 6194544, 571923, 5593193, 9631290, 6513953, 8288178, 136328, 9972551, 1732339, 7373626, 2271079, 1433051, 6359389, 9161781, 8984482, 7589441, 6387712, 2500944, 7883226, 7198102, 5085745, 3628276, 3632793, 5352320, 6452062, 6320526, 736923, 1634674, 1377581, 2650764, 4580526, 1913989, 1761093, 6289494, 6634867, 9512247, 236251, 3970148, 9453667, 5799106, 471000, 3326108, 3293354, 9751793, 601032, 4977857, 8143761, 6742396, 631859, 3932328, 6826561, 6145488, 2172986, 5225673, 4242354, 4483085, 2439760, 3361913, 6043913, 4421622, 54281, 3299734, 6765820, 8133441, 8913415, 1509453, 7148582, 5655572, 8488791, 2636768, 6761256, 4059960, 7758868, 4685163, 6833484, 9567870, 9318983, 3718786, 2918167, 8292629, 6806261, 7163105, 9425478, 5960844, 1823145, 2618162, 1263051, 2043899, 1824206, 3969777, 3166818, 4278552, 9230096, 8197644, 8647631, 4422138, 7284003, 7229713, 6040805, 3252837, 8515023, 3740773, 3455897, 6707179, 3199292, 4323014, 6589488, 1526014, 3962710, 1221032, 4596236, 2830758, 6520429, 385319, 6067506, 6283212, 8071870, 9761556, 8667644, 9455272, 2706658, 1065216, 8256722, 5698204, 8905620, 1804875, 693746, 2939420, 1486326, 6858798, 5503682, 4742903, 5314900, 5800696, 9284324, 1584263, 2313869, 8279541, 3626053, 59462, 6045670, 9914020, 9863563, 98129, 8088685, 6415066, 1282377, 9525808, 5305863, 2460583, 559762, 5793634, 2259448, 8159853, 4104679, 7149885, 3293718, 9556696, 7754483, 5677058, 631352, 7267280, 3795343, 4441394, 5311124, 1629215, 2527096, 6771607, 3671153, 6907031, 6677164, 7041724, 6043634, 4526234, 4689985, 871836, 7100348, 5763768, 5812750, 8076789, 3019661, 3307190, 5154586, 8602611, 3535364, 3408958, 4853484, 1100893, 2512640] 925)," 5 (maximumLength [3667457, 457901, 5487200, 8356554, 2651168, 6194358, 4234193, 392948, 4219742, 523839, 6259716, 241868, 1480404, 5768961, 9551907, 5608147, 419918, 8640266, 2461226, 203876, 8351682, 5879327, 1323810, 5204584, 6847305, 6981556, 6354276, 8329559, 4993026, 527176, 5960561, 8289947, 3548286, 5919075, 29649, 1707398, 2289587, 5599929, 699155, 1703925, 9630014, 778669, 3023493, 5744701, 6106473, 9781967, 3602607, 9637550, 3042238, 8256315, 354959, 3136129, 972646, 3080800, 1136552, 9245581, 1421673, 6621775, 3799365, 4905572, 6651029, 899037, 8050887, 7805073, 2336253, 2649628, 8034568, 7320613, 594344, 3906624, 1803202, 4057961, 7987119, 6033926, 2896316, 7968484, 6197072, 6929222, 5202378, 7450007, 4891860, 7892459, 185738, 7021335, 3117992, 6194544, 571923, 5593193, 9631290, 6513953, 8288178, 136328, 9972551, 1732339, 7373626, 2271079, 1433051, 6359389, 9161781, 8984482, 7589441, 6387712, 2500944, 7883226, 7198102, 5085745, 3628276, 3632793, 5352320, 6452062, 6320526, 736923, 1634674, 1377581, 2650764, 4580526, 1913989, 1761093, 6289494, 6634867, 9512247, 236251, 3970148, 9453667, 5799106, 471000, 3326108, 3293354, 9751793, 601032, 4977857, 8143761, 6742396, 631859, 3932328, 6826561, 6145488, 2172986, 5225673, 4242354, 4483085, 2439760, 3361913, 6043913, 4421622, 54281, 3299734, 6765820, 8133441, 8913415, 1509453, 7148582, 5655572, 8488791, 2636768, 6761256, 4059960, 7758868, 4685163, 6833484, 9567870, 9318983, 3718786, 2918167, 8292629, 6806261, 7163105, 9425478, 5960844, 1823145, 2618162, 1263051, 2043899, 1824206, 3969777, 3166818, 4278552, 9230096, 8197644, 8647631, 4422138, 7284003, 7229713, 6040805, 3252837, 8515023, 3740773, 3455897, 6707179, 3199292, 4323014, 6589488, 1526014, 3962710, 1221032, 4596236, 2830758, 6520429, 385319, 6067506, 6283212, 8071870, 9761556, 8667644, 9455272, 2706658, 1065216, 8256722, 5698204, 8905620, 1804875, 693746, 2939420, 1486326, 6858798, 5503682, 4742903, 5314900, 5800696, 9284324, 1584263, 2313869, 8279541, 3626053, 59462, 6045670, 9914020, 9863563, 98129, 8088685, 6415066, 1282377, 9525808, 5305863, 2460583, 559762, 5793634, 2259448, 8159853, 4104679, 7149885, 3293718, 9556696, 7754483, 5677058, 631352, 7267280, 3795343, 4441394, 5311124, 1629215, 2527096, 6771607, 3671153, 6907031, 6677164, 7041724, 6043634, 4526234, 4689985, 871836, 7100348, 5763768, 5812750, 8076789, 3019661, 3307190, 5154586, 8602611, 3535364, 3408958, 4853484, 1100893, 2512640] 925))
+
+test9 :: Test
+test9 = TestCase (assertEqual "for (maximumLength [1608698, 597159, 1860777, 1854067, 8731126, 2728129, 3538328, 8098830, 5654737, 9773627, 7531389, 7337223, 8689125, 463077, 1681161, 1613389, 1844165, 9625060, 7376295, 9311636, 1631975, 2730294, 1292510, 1757084, 3177948, 906302, 4232122, 1475456, 9647903, 8940944, 7625594, 9519055, 9999733, 6201007, 7990088, 6281304, 2612437, 5782281, 9717014, 383260, 2346438, 8014529, 5085816, 507585, 4945370, 1590682, 5655709, 4593744, 2346279, 5976913, 675006, 3401244, 7340105, 2708039, 8401197, 7040778, 8226547, 2292463, 1665152, 9933068, 5788884, 1247690, 1761166, 7445796, 4969453, 3308964, 8795620, 7885584, 3382335, 7792574, 7489385, 9709608, 1626098, 6376403, 1379708, 4684642, 8008931, 5014800, 3736110, 717193, 3072181, 9740144, 708299, 1052672, 5943695, 2648850, 683975, 5466214, 9455437, 8396142, 575713, 7521214, 4105229, 8229078, 2955451, 3537251, 8908243, 4998375, 9541586, 5179535, 6514125, 1042498, 8583702, 4823299, 7565473, 6593173, 9477479, 6025885, 7730302, 4045900, 3300740, 6038089, 4839978, 3099194, 26493, 5312770, 9540080, 425197, 7791210] 9)," 20 (maximumLength [1608698, 597159, 1860777, 1854067, 8731126, 2728129, 3538328, 8098830, 5654737, 9773627, 7531389, 7337223, 8689125, 463077, 1681161, 1613389, 1844165, 9625060, 7376295, 9311636, 1631975, 2730294, 1292510, 1757084, 3177948, 906302, 4232122, 1475456, 9647903, 8940944, 7625594, 9519055, 9999733, 6201007, 7990088, 6281304, 2612437, 5782281, 9717014, 383260, 2346438, 8014529, 5085816, 507585, 4945370, 1590682, 5655709, 4593744, 2346279, 5976913, 675006, 3401244, 7340105, 2708039, 8401197, 7040778, 8226547, 2292463, 1665152, 9933068, 5788884, 1247690, 1761166, 7445796, 4969453, 3308964, 8795620, 7885584, 3382335, 7792574, 7489385, 9709608, 1626098, 6376403, 1379708, 4684642, 8008931, 5014800, 3736110, 717193, 3072181, 9740144, 708299, 1052672, 5943695, 2648850, 683975, 5466214, 9455437, 8396142, 575713, 7521214, 4105229, 8229078, 2955451, 3537251, 8908243, 4998375, 9541586, 5179535, 6514125, 1042498, 8583702, 4823299, 7565473, 6593173, 9477479, 6025885, 7730302, 4045900, 3300740, 6038089, 4839978, 3099194, 26493, 5312770, 9540080, 425197, 7791210] 9))
+
+
+-- 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

find_the_maximum_length_of_valid_subsequence_ii/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, maximumLength(new ArrayList<>(Arrays.asList(1,2,3,4,5)), 2));
+}
+@Test
+public void test2() {
+    assertEquals(4, maximumLength(new ArrayList<>(Arrays.asList(1,4,2,3,1,4)), 3));
+}
+
+}

find_the_maximum_length_of_valid_subsequence_ii/ocaml_tests/main.ml

@@ -0,0 +1,50 @@
+
+module Main = struct
+    open OUnit2
+
+    (* Program start *)
+
+    (* Program end *)
+
+    (* Test cases *)
+    
+let test1 _ = assert_equal 5 (maximumLength [1;2;3;4;5] 2)
+
+let test2 _ = assert_equal 4 (maximumLength [1;4;2;3;1;4] 3)
+
+let test3 _ = assert_equal 3 (maximumLength [5666738; 5833160; 3076685; 8180120; 5929886; 4983393; 1613148; 2983138; 54000; 7931452; 2079819; 7055417; 7914923; 24008; 5985317; 9332595; 5512226; 1445954; 7539029; 3710155] 696)
+
+let test4 _ = assert_equal 6 (maximumLength [6047072; 98741; 8984146; 5536188; 6016195; 1310400; 2625558; 9493761; 7873055; 8630685; 8717909; 147966; 5272047; 9801390; 2615060; 4521233; 3716897; 7519860; 2429393; 2156534; 2992707; 3406565; 8135288; 5284825; 3817989; 5021454; 7762994; 4253820; 2715970; 6031495; 9866044; 3485773; 3090258; 8955762; 2894077; 4555263; 4170494; 9363773; 8961764; 1631505; 4991868; 8027767; 9244952; 9846545; 9079928; 9539985; 4192893; 6175164; 3464062; 2349941; 4735432; 9566407; 1987972; 5736784; 8630030; 7248817; 8503380; 1841055; 1020608; 7023782; 99125; 9042958; 4683875; 263884; 2140670; 1877196; 9972966; 7741247; 4103831; 9657721; 9088642; 5879802; 1293213; 9735453; 9927402; 6964158; 5428760; 7915977; 4398892; 8970197; 5798169; 2739972; 2711593; 7338980; 5483798; 493782; 9063843; 3535274; 8363706; 9333858; 7338766; 9399042; 7668315; 9243080; 302292; 4340976; 5155158; 2252850; 5218166; 2390239; 9993534; 7518932; 1260722; 3223733; 7078122; 554640; 6882224; 3990171; 2254840; 711951; 5227962; 4341906; 8265561; 3990738; 8370730; 9439723; 5280672; 3404340; 7006735; 4412792; 4311056; 1387266; 2061091; 4724236; 5394193; 1718039; 6263375; 9010112; 6774047; 6226055; 6739726; 8713637; 6493305; 3034292; 3658274; 8903418; 2149313; 2495482; 6400151; 649911; 4701644; 5182968; 9135541; 520529; 3491980; 2617850; 5344666; 546982; 855459; 9047307; 4337507; 5850068; 2429508; 5060912; 2281840; 3729530; 4159283; 5462973; 406369; 2149500; 435990; 5104488; 3411179; 7523837; 6777136; 5422689; 5320577; 1623256; 5307336; 1565039; 6061996; 9649175; 9652269; 1694104; 7166144; 121304; 8286885; 5006223; 1084728; 4595993; 2291651; 8567221; 9374616; 2150095; 2868264; 7283466; 5395194; 6340601; 811720; 3707968; 7375340; 5009678; 7632237; 3250095; 9535561; 7931767; 1783182; 4262378; 6036083; 9912783; 190190; 559433; 5634006; 7298847; 2058448; 5283556; 6986613; 7394596; 5172011; 4619271; 4271092; 316760; 2399238; 7589843; 2414019; 3620607; 69921; 1189775; 7589277; 7620540; 1325718; 7077110; 265303; 9485528; 6663530; 883621; 1925883; 5507639; 8547856; 689729; 5296827; 3808248; 7096824; 9755556; 9603604; 1353469; 3329211; 4156234; 5816295; 6436996; 442526; 4479626; 9400866; 373182; 5222046; 2948706; 8885283; 9891258; 5289888; 7568504; 3819942; 2406814; 1913699; 3182309; 3286823; 49532; 9744747; 1816820; 6849994; 1597622; 6057667; 4722912; 6997268; 8073871; 8880753; 8270843; 6242433; 7625459; 6563938; 4876276; 5483193; 6719547; 9850866; 2415529; 3427322; 7543811; 5867236; 3397942; 5418789; 2122390; 3111369; 434087; 1338008; 6964209; 6890216; 7824140; 5816813; 5077407; 8277312; 8055094; 592390; 5618549; 374779; 2368545; 6410866; 5793767; 7714735; 7437483; 2322221; 327799; 359573; 2148943; 5703958; 1612899; 981071; 9316951; 4127189; 4842565; 2156153; 9382809; 5089585; 2947818; 4722358; 2983076; 6340398; 7926500; 2974778; 8578782; 5942676; 730240; 1814032; 3216539; 6179830; 1264409; 5986885; 9645675; 4443777; 1827562; 2284857; 957776; 2245377; 3240211; 1603808; 7490811; 1545097; 1911338; 9255535; 8524190; 4275383; 7227022; 7083403; 5102173; 2003887; 2131606; 3869027; 6436898; 7099328; 5148207; 629296; 9903936; 3148804; 9782862; 823441; 6875933; 4370514; 8340993; 3491666; 2795889; 1786809; 3885657; 674211; 3215848; 9239906; 1320840; 4197400; 8437731; 1629069; 8900889; 2605355; 4471206; 3964019; 8687346] 564)
+
+let test5 _ = assert_equal 7 (maximumLength [521419; 4724126; 2319089; 5152298; 4398845; 5355104; 3436896; 9131500; 4716913; 4778303; 541725; 6369024; 1147692; 2907150; 6730845; 973592; 868082; 788461; 8046938; 1329259; 7751076; 1928531; 743446; 4136510; 1493143; 7895147; 3178694; 9326993; 456922; 739351; 9874393; 4683289; 1342004; 8448246; 4290803; 4215446; 9391933; 1870897; 6075113; 4181833; 6757828; 9110268; 1977611; 3873075; 3117410; 7436528; 9406601; 3136485; 7863939; 5706249; 5280495; 7308478; 9428065; 4944625; 4479170; 3945928; 7343336; 5146704; 2880213; 3668073; 3981866; 8893537; 4811317; 2893951; 3856884; 8249663; 7480352; 4276569; 920591; 4959695; 6103693; 3659192; 1687582; 2150300; 1622418; 5837247; 403494; 5161334; 2412302; 5513664; 133347; 4540293; 333892; 3729368; 1526907; 4869168; 2666494; 2635582; 6374107; 4189521; 9772154; 5467844; 2333963; 1046336; 6276799; 8805989; 2138492; 8939289; 4912190; 3541951; 9912452; 542693; 6605063; 6084501; 5726126; 7294586; 383237; 6574327; 3025578; 8723168; 2283908; 9043048; 7595583; 877235; 3833274; 3502303; 7784408; 7956154; 536567; 5841025; 861460; 502188; 7412108; 9979034; 8878316; 9140356; 7342859; 7298729; 1404717; 2311500; 2748498; 6614627; 6949444; 2209840; 9738261; 9427623; 2353605; 325764; 1263026; 2708663; 5849094; 4209937; 2471438; 7629853; 6682812; 1021662; 1062298; 4943862; 8456821; 8561025; 9543409; 2244916; 9612052; 3368765; 6963075; 6758800; 3403828; 2207842; 5835809; 4591383; 3372528; 7802409; 2537901; 7692983; 455731; 8822404; 2653340; 1889773; 4808027; 6826495; 1728424; 3391832; 911410; 4125807; 9365809; 3813871; 9405929; 1028290; 3183035; 7361029; 459190; 8330601; 9294912; 7016171; 7808454; 204091; 9770150; 9173344; 130300; 6614262; 6326916; 689161; 5960014; 774415; 2865417; 9265348; 3423492; 9046872; 3318872; 9814738; 6471935; 7417437; 2279155; 6770773; 1301612; 7349538; 2827325; 3490743; 3999657; 2173659; 1413044; 7980078; 7552335; 9981412; 1864276; 6800608; 5978473; 8147836; 7181442; 1560735; 7518240; 533956; 5317213; 8936411; 7675214; 113927; 1592905; 4200248; 5901938; 1885265; 7128106; 9272719; 8093598; 3147407; 2431169; 399647; 9580733; 5451219; 2203110; 3446692; 8497490; 8678770; 9403114; 2307292; 3990574; 2628821; 2926104; 9989554; 7019949; 1536789; 4499270; 4951565; 5929628; 1978377; 2376820; 6333842; 7005918; 6581390; 6440500; 5070245; 1752709; 9557529; 2067018; 1457761; 4624774; 7998799; 1999516; 7818143; 5071268; 809062; 3165834; 9983060; 9553059; 2413038; 5688754; 8441919; 6158057; 5417205; 7353564; 8127658; 3066170; 3718768; 2040905; 9405205; 8185241; 6696292; 8527488; 2754475; 3254102; 2214870; 886742; 3526595; 962223; 9009880; 9900964; 3782329; 2657928; 569849; 5026641; 2489928; 3160429; 7117508; 5784893; 9485100; 8808766; 4292046; 4942010; 2770884; 8218341; 4815917; 9602311; 7224738; 746664; 9581196; 5046124; 690829; 9750273; 9027964; 599075; 3430962; 4376704; 8022487; 2611004; 4380904; 9755458; 6480704; 1031427; 8847017; 5206666; 3803008; 6961472; 5999880; 63543] 287)
+
+let test6 _ = assert_equal 8 (maximumLength [7915949; 1022332; 3765020; 7134429; 4939013; 5606624; 8369811; 4045493; 5402808; 5098903; 5018127; 6400570; 8564015; 9571054; 5204721; 8279325; 8116467; 7678487; 1201352; 2620279; 4443193; 8514009; 1322191; 4626213; 4676628; 4415277; 5606432; 8575850; 9856571; 6272689; 5567345; 325104; 3131488; 4277154; 7276167; 2408294; 6324996; 9063813; 218769; 4253226; 8480489; 4365605; 7309748; 4678698; 8567311; 8167161; 1823637; 5477093; 8917720; 5929539; 5406721; 4901312; 5521462; 6281001; 3234391; 3230702; 8572462; 7343212; 3622740; 4982491; 4625493; 8869515; 5944811; 7057570; 5063514; 4327448; 2660517; 1752759; 4286722; 5666776; 7485968; 5598413; 2155412; 2453027; 9860204; 3057631; 2608145; 9784707; 8700969; 6727131; 565341; 6507764; 5937986; 2481540; 4087833; 6802849; 1796691; 3166824; 8560914; 8661512; 6577318; 6634578; 1047714; 4509571; 1019511; 6987034; 5169909; 4677532; 1342838; 8109243; 8108682; 4311267; 7885046; 8666486; 9032615; 2444428; 8795894; 5147554; 4148694; 1302403; 6741041; 1619943; 9384041; 4345082; 2616183; 3917891; 7830114; 3351657; 6550146; 4111711; 2286283; 1823957; 7907925; 5269974; 1125903; 1420045; 2043872; 3417820; 9391392; 4039445; 1411976; 3626094; 4676219; 4964054; 9519230; 4374267; 8696770; 7178941; 1496062; 1473786; 1420427; 5100875; 1514145; 7902486; 9603019; 6989583; 9187262; 5841351; 7610592; 5432536; 3576294; 4287562; 3241147; 2661809; 2940350; 1639408; 4080857; 2327710; 4713352; 486401; 3820650; 2881971; 5228754; 326219; 5032371; 1744081; 8626561; 9850290; 5015201; 2863899; 1026326; 7826260; 7323357; 4984230; 7119762; 348631; 257044; 9805336; 8637674; 2775590; 1338834; 8045551; 1205039; 4426530; 3259954; 7704524; 2190859; 8076065; 6965872; 371836; 5462208; 3282264; 4096340; 6291453; 6657029; 5274437; 3817026; 8517669; 2323411; 6201596; 3422564; 2979963; 2568219; 1311210; 1288453; 7517743; 8647754; 9671625; 5660313; 5245530; 7115516; 4522110; 9162550; 7748709; 7577754; 8998683; 6565267; 6888265; 5387873; 9997953; 2010477; 4374087; 9222488; 7534022; 1325499; 5289822; 8700941; 5915531; 5249700; 7072433; 9792347; 4532846; 7912906; 1039534; 4168982; 6853010; 1357417; 5126361; 7540084; 9695497; 7180550; 9410891; 7530609; 5384124; 4510241; 3925032; 5468938; 5276335; 3207198; 538726; 6900227; 4598688; 452221; 4933923; 13427; 3035004; 15234; 1670059; 9168754; 2235153; 4092614; 6106470; 7649823; 9015469; 3361025; 7174708; 8854628; 7432016; 3359259; 4525190; 8107442; 6298215; 772026; 3858262; 3217437; 5241079; 7786987; 7883141; 2353943; 1567658; 6890297; 1874658; 2436660; 2086779; 1893785; 4983255; 7283345; 1021215; 2105612; 6969603; 3804199; 1594154; 7675831; 3331281; 3409536; 7962299; 7535841; 9530738; 1093826; 3439511; 7926518; 8217089; 9393979; 1009464; 5321964; 2434417; 3250551; 1476750; 250405; 5336579; 7378430; 5647567; 3137697; 614103; 3051315; 2990285; 3541382; 9883804; 3431077; 7360940; 3781496; 6325587; 4096126; 5561001; 9099845; 4924693; 9022491; 4782787; 6483408; 9945947; 9963374; 4881092; 4986237; 7433922; 4681216; 3574479; 7404854; 831004; 9330202; 8190403; 8313653; 7293578; 7864580; 3371977; 8034220; 4701750; 6480609; 6107917; 3951531; 2083675; 9504846; 2134023; 2564331; 6582858; 238015; 8118236; 522939; 1191507; 6977201; 2756219; 9503164; 1392037; 1787334; 543370; 1041480; 2195134; 5546747; 3987370; 9805200; 3915026; 1396111; 1050404; 2458575; 9574050; 86132; 4153175; 8125660; 3835919; 4378615; 4434320; 1254407; 2145569; 1401802; 6668286; 2816259; 9944955; 5506766; 6026304; 6008247; 5621322; 5951795; 2209188; 3536887; 3541357; 2579049; 328821; 1626819; 2015132; 6117084; 8757695; 1373409; 2069090; 1529117; 8675136; 5647857; 5239600; 2679165; 790251; 9952109; 6609020; 1582517; 4508075; 1263875; 2025165; 9281237; 2130776; 9663438; 9023715; 758815; 152554; 952749; 5677420; 2019777; 3313549; 4380549; 4651545; 7648702; 1349148; 5110748; 6569695; 8068904; 9525921; 3831514; 3623992; 721053; 429809; 4683548; 8714938; 7045600; 1967494; 8462531; 6219951; 3786155; 9199945; 6147085; 9233656; 9032005; 5216395; 9587000; 1216520; 8379822; 174213; 1148104; 1642094; 8350399; 4000453; 1138531; 9408084; 6229680; 9386046; 4405142; 3092686; 4227932; 2832622; 1429319; 7149056; 7243087; 9350746; 7031418; 402861; 1383314; 5881216; 2767469; 8277970; 5400880; 2977427; 2174745; 8761500; 6708186; 5008365; 7248940; 4832596; 1836455; 812461; 7849433; 3198788; 4755679; 7788387; 1370265; 7142429; 6181252; 7839773; 4971665; 6381699; 3565035; 5395776; 8533719; 8510178; 6797611; 5481141; 8197118; 7204458; 1430186; 2144318; 6109812; 1709679; 2828450; 1285444; 2639754; 9278895; 7580536; 2454928; 9604074; 2940641; 7915747; 72301; 7605277; 3590865; 9432284; 8864501; 4454150; 4832035; 8913008; 3871185; 8203014; 7302609; 8940990; 4743851; 4053870; 8916639; 4498866; 2551100; 962928; 9142984; 4930506; 4094894; 7980172; 55685; 380534; 317566; 6935114; 408044; 2925897; 2333839; 7740909; 7350618; 474628; 5403085; 923150; 9411161; 5835459; 7783663; 6312087; 3114975; 7693928; 5692771; 7915138; 5680115; 8859382; 5513213; 8677152; 8552967; 1890828; 9128588; 1474473; 4000712; 5273223; 9776410; 3895586; 219326; 3375230; 5457101; 3515766; 7762810; 6731124; 812700; 757313; 1507718; 9321133; 5532052; 2632952; 6054809; 6341312; 6079019; 4657391; 3055086; 9680991; 7132221; 9518553; 8610907; 8258056; 5234329; 5321196; 6258978; 8703881; 5080072; 804610; 8370208; 3976935; 3489478; 130260; 4208566; 2202032; 9295930; 5465694; 4375167; 1319964; 5793078; 792076; 6840314; 274901; 8185087; 1160258; 7830932; 9606386; 6507481; 5840196; 8065882; 4663986; 8734133; 9805401; 3832519; 2393623; 629082; 1207599; 2449122; 6348368; 3930978; 7331484; 1548572; 3249845; 801931; 4671; 3993152; 6534296; 7954618; 4580563; 4057786; 8411645; 6106669; 7163370; 1249618; 6032016; 9302430; 98305; 4283173; 1773030; 4642798; 2480639; 902778; 7248981; 1028519; 8122999; 9120271; 1920288; 5486962; 7455828; 2241088; 8354533; 763566; 5440348; 8168887; 4116525; 1863303; 5454569; 1603654; 7431100; 4576951; 6899427; 2425430; 1899226; 3687921; 1814945; 22267; 9651632; 756503; 932249; 9002189; 8424282; 6444139; 5591633; 1772667; 2536911; 7985536; 3706723; 2020876; 5797426; 3606275; 2187101; 27665; 5898988; 1860532; 5294031; 6717874; 2390377; 9897601; 7911078; 6491609; 126271; 9763739; 4001666; 9791; 9949007; 272529; 5918115; 8987068; 8730477] 672)
+
+let test7 _ = assert_equal 4 (maximumLength [3923315; 655315; 3026545; 5836948; 6588206; 2815311; 5475867; 9068934; 7861468; 2453761; 8839711; 5327527; 2149460; 5241347; 8901652; 5247869; 2331353; 1626885; 2008561; 5702260; 4182350; 2139201; 101038; 3147600; 5573617; 7967604; 8653644; 9963836; 240235; 5691827; 5986158; 4053687; 7019150; 5990041; 2077228; 6656728; 5692503; 8106720; 6529398; 2876136; 5299214; 5532889; 5251714; 9183989; 9361715; 663557; 8393460; 2406041; 7953722; 8854619; 1759211; 5769738; 8764277; 6629875; 7156367; 5881963; 4286030; 8980435; 6556374; 9633898; 6389470; 5019092; 9901845; 7632312; 1404300; 3522223; 671772] 395)
+
+let test8 _ = assert_equal 5 (maximumLength [3667457; 457901; 5487200; 8356554; 2651168; 6194358; 4234193; 392948; 4219742; 523839; 6259716; 241868; 1480404; 5768961; 9551907; 5608147; 419918; 8640266; 2461226; 203876; 8351682; 5879327; 1323810; 5204584; 6847305; 6981556; 6354276; 8329559; 4993026; 527176; 5960561; 8289947; 3548286; 5919075; 29649; 1707398; 2289587; 5599929; 699155; 1703925; 9630014; 778669; 3023493; 5744701; 6106473; 9781967; 3602607; 9637550; 3042238; 8256315; 354959; 3136129; 972646; 3080800; 1136552; 9245581; 1421673; 6621775; 3799365; 4905572; 6651029; 899037; 8050887; 7805073; 2336253; 2649628; 8034568; 7320613; 594344; 3906624; 1803202; 4057961; 7987119; 6033926; 2896316; 7968484; 6197072; 6929222; 5202378; 7450007; 4891860; 7892459; 185738; 7021335; 3117992; 6194544; 571923; 5593193; 9631290; 6513953; 8288178; 136328; 9972551; 1732339; 7373626; 2271079; 1433051; 6359389; 9161781; 8984482; 7589441; 6387712; 2500944; 7883226; 7198102; 5085745; 3628276; 3632793; 5352320; 6452062; 6320526; 736923; 1634674; 1377581; 2650764; 4580526; 1913989; 1761093; 6289494; 6634867; 9512247; 236251; 3970148; 9453667; 5799106; 471000; 3326108; 3293354; 9751793; 601032; 4977857; 8143761; 6742396; 631859; 3932328; 6826561; 6145488; 2172986; 5225673; 4242354; 4483085; 2439760; 3361913; 6043913; 4421622; 54281; 3299734; 6765820; 8133441; 8913415; 1509453; 7148582; 5655572; 8488791; 2636768; 6761256; 4059960; 7758868; 4685163; 6833484; 9567870; 9318983; 3718786; 2918167; 8292629; 6806261; 7163105; 9425478; 5960844; 1823145; 2618162; 1263051; 2043899; 1824206; 3969777; 3166818; 4278552; 9230096; 8197644; 8647631; 4422138; 7284003; 7229713; 6040805; 3252837; 8515023; 3740773; 3455897; 6707179; 3199292; 4323014; 6589488; 1526014; 3962710; 1221032; 4596236; 2830758; 6520429; 385319; 6067506; 6283212; 8071870; 9761556; 8667644; 9455272; 2706658; 1065216; 8256722; 5698204; 8905620; 1804875; 693746; 2939420; 1486326; 6858798; 5503682; 4742903; 5314900; 5800696; 9284324; 1584263; 2313869; 8279541; 3626053; 59462; 6045670; 9914020; 9863563; 98129; 8088685; 6415066; 1282377; 9525808; 5305863; 2460583; 559762; 5793634; 2259448; 8159853; 4104679; 7149885; 3293718; 9556696; 7754483; 5677058; 631352; 7267280; 3795343; 4441394; 5311124; 1629215; 2527096; 6771607; 3671153; 6907031; 6677164; 7041724; 6043634; 4526234; 4689985; 871836; 7100348; 5763768; 5812750; 8076789; 3019661; 3307190; 5154586; 8602611; 3535364; 3408958; 4853484; 1100893; 2512640] 925)
+
+let test9 _ = assert_equal 20 (maximumLength [1608698; 597159; 1860777; 1854067; 8731126; 2728129; 3538328; 8098830; 5654737; 9773627; 7531389; 7337223; 8689125; 463077; 1681161; 1613389; 1844165; 9625060; 7376295; 9311636; 1631975; 2730294; 1292510; 1757084; 3177948; 906302; 4232122; 1475456; 9647903; 8940944; 7625594; 9519055; 9999733; 6201007; 7990088; 6281304; 2612437; 5782281; 9717014; 383260; 2346438; 8014529; 5085816; 507585; 4945370; 1590682; 5655709; 4593744; 2346279; 5976913; 675006; 3401244; 7340105; 2708039; 8401197; 7040778; 8226547; 2292463; 1665152; 9933068; 5788884; 1247690; 1761166; 7445796; 4969453; 3308964; 8795620; 7885584; 3382335; 7792574; 7489385; 9709608; 1626098; 6376403; 1379708; 4684642; 8008931; 5014800; 3736110; 717193; 3072181; 9740144; 708299; 1052672; 5943695; 2648850; 683975; 5466214; 9455437; 8396142; 575713; 7521214; 4105229; 8229078; 2955451; 3537251; 8908243; 4998375; 9541586; 5179535; 6514125; 1042498; 8583702; 4823299; 7565473; 6593173; 9477479; 6025885; 7730302; 4045900; 3300740; 6038089; 4839978; 3099194; 26493; 5312770; 9540080; 425197; 7791210] 9)
+
+let test10 _ = assert_equal 11 (maximumLength [8041098; 5646447; 9493175; 9444602; 2324381; 8828340; 4263939; 8141072; 5752540; 9874456; 2708035; 7763626; 486352; 1646010; 8963719; 2124576; 1360254; 7491753; 798282; 7700708; 1914852; 7105947; 2841075; 2792564; 4594234; 1783367; 8513655; 8520532; 6931558; 8042976; 8263465; 3801380; 2970576; 7560746; 4373670; 4973846; 703893; 8414909; 8931855; 2386620; 4177362; 5217054; 6100706; 9711158; 8416795; 7669684; 4286902; 2349805; 7574286; 1694314; 2577312; 9050670; 8433847; 1864429; 5651388; 9814996; 9823327; 4303102; 7670976; 9716466; 4350859; 7377391; 431246; 533114; 5564950; 6073326; 3842952; 9956163; 3945690; 1381686; 5532055; 7839476; 8990053; 8906297; 6241662; 5133997; 870674; 1140433; 9591589; 8110202; 731013; 8126537; 50094; 5523317; 7501259; 9485484; 5636868; 290632; 6217640; 8686524; 476542; 654427; 8893050; 3331479; 9211577; 2121489; 2364713; 5617474; 5601255; 4284850; 4545593; 3830011; 8066824; 6006295; 8554643; 5287826; 2861752; 3636408; 7307197; 4833071; 5153611; 6384031; 6831113; 8225712; 7180019; 9197675; 2297581; 9852330; 68475; 1804872; 7287074; 1653932; 2599301; 9963122; 7669980; 7160877; 4373257; 2680100; 4708513; 9733407; 6767741; 7227108; 5281985; 1848647; 7067965; 5453221; 1257797; 1960892; 7447670; 5639598; 3233499; 1771673; 5711637; 1169935; 4463255; 3272357; 675336; 4520681; 653900; 8711516; 597605; 8572347; 8393899; 1832286; 7089754; 2898094; 3797598; 9840682; 331882; 6915611; 4899021; 5324356; 5613778; 3515791; 6816739; 9659667; 9907274; 2433244; 9445760; 2101661; 2434403; 7019539; 7188598; 8911776; 417102; 1735409; 7235577; 115499; 7115129; 8208128; 2773372; 8652493; 2132879; 9078071; 1410443; 5659892; 3513163; 2291963; 1746874; 4633838; 8679057; 3209519; 3240317; 744878; 3715906; 6019322; 7668580; 5348626; 5130421; 4621716; 8832551; 1741672; 7889223; 1035838; 1902605; 8649966; 3800223; 3313548; 4037330; 7062566; 9604200; 1030747; 6538617; 404287; 8796080; 3226373; 3026786; 9171862; 697788; 8470806; 3346403; 4339767; 5023662; 6398709; 3027483; 770881; 209520; 1840012; 7233066; 4630277; 2363808; 7702142; 8229973; 6597327; 1023406; 749572; 6265374; 5441975; 3060186; 7005950; 3033712; 5823736; 3847250; 4465670; 9353498; 9444316; 3001300; 4591070; 9126995; 4649102; 212854; 4436278; 6083090; 6660255; 8472050; 5173402; 8276659; 4878677; 4504708; 9935953; 402530; 4767180; 3082989; 8570553; 1283293; 4918489; 6971528; 5412525; 9635257; 8101028; 3498003; 959719; 6850930; 4136430; 4280311; 3076934; 4381228; 1550966; 1694794; 6343537; 9451634; 5019140; 6712186; 7152979; 7266145; 798489; 663789; 6109619; 6748510; 1963059; 9123419; 4574574; 2349215; 6299692; 5509001; 3837979; 8854637; 6873903; 6237377; 1205890; 3961540; 92455; 1067335; 4734781; 7889854; 30434; 89654; 6867864; 331848; 4563253; 3813207; 5726428; 5901391; 3463054; 3508153; 3289068; 3420918; 3816683; 2433151; 3872317; 1171727; 1298912; 532139; 9663158; 8579322; 3127854; 4678200; 9852536; 2630594; 4340898; 5034391; 3601053; 8022483; 1445743; 7120693; 7935900; 3336025; 7570738; 1305255; 747576; 319016; 8752559; 9748208; 9708220; 3725252; 6378615; 8403959; 9384186; 2227123; 7424; 6467110; 7011212; 7554705; 1933505; 8771706; 7535328; 828749; 6338993; 2818428; 7737290; 1850147; 7697876; 505808; 6420901; 2112050; 1245106; 494853; 5761411; 2707540; 8868106; 3011161; 7114211; 3245139; 3564243; 7228613; 1945983; 9669509; 2902357; 2991391; 8714470; 6652391; 1073009; 2227227; 2365305; 5900958; 8046092; 9559809; 3143813; 1400341; 2555788; 1514876; 238925; 1912494; 2828790; 9921539; 8093724; 9059720; 2273147; 406200; 5179191; 8524846; 6626925; 3894407; 5806081; 7369856; 3617205; 6608532; 6353307; 8034817; 3232883; 9420357; 7633124; 1932562; 5140868; 9035562; 8320704; 6697681; 6630297; 4165787; 1184691; 8362300; 9464738; 3637463; 6020268; 3974372; 2411821; 8627347; 7487287; 5967599; 9710825; 2058485; 1924920; 6179004; 484908; 3131215; 2090627; 8008225; 7602419; 9365229; 1845687; 1491958; 1890614; 635450; 1257442; 4425184; 2237316; 8076550; 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+
+
+    (* Grouping test cases *)
+    let suite = "Test Suite for maximumLength" >::: [
+        
+  "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

find_the_maximum_length_of_valid_subsequence_ii/scala_tests/MySuite.scala

@@ -0,0 +1,44 @@
+
+class MySuite extends munit.FunSuite {
+  
+  test("test1") {
+    assertEquals(Main.maximumLength(List(1,2,3,4,5),2), 5)
+  }
+
+  test("test2") {
+    assertEquals(Main.maximumLength(List(1,4,2,3,1,4),3), 4)
+  }
+
+  test("test3") {
+    assertEquals(Main.maximumLength(List(5666738, 5833160, 3076685, 8180120, 5929886, 4983393, 1613148, 2983138, 54000, 7931452, 2079819, 7055417, 7914923, 24008, 5985317, 9332595, 5512226, 1445954, 7539029, 3710155),696), 3)
+  }
+
+  test("test4") {
+    assertEquals(Main.maximumLength(List(6047072, 98741, 8984146, 5536188, 6016195, 1310400, 2625558, 9493761, 7873055, 8630685, 8717909, 147966, 5272047, 9801390, 2615060, 4521233, 3716897, 7519860, 2429393, 2156534, 2992707, 3406565, 8135288, 5284825, 3817989, 5021454, 7762994, 4253820, 2715970, 6031495, 9866044, 3485773, 3090258, 8955762, 2894077, 4555263, 4170494, 9363773, 8961764, 1631505, 4991868, 8027767, 9244952, 9846545, 9079928, 9539985, 4192893, 6175164, 3464062, 2349941, 4735432, 9566407, 1987972, 5736784, 8630030, 7248817, 8503380, 1841055, 1020608, 7023782, 99125, 9042958, 4683875, 263884, 2140670, 1877196, 9972966, 7741247, 4103831, 9657721, 9088642, 5879802, 1293213, 9735453, 9927402, 6964158, 5428760, 7915977, 4398892, 8970197, 5798169, 2739972, 2711593, 7338980, 5483798, 493782, 9063843, 3535274, 8363706, 9333858, 7338766, 9399042, 7668315, 9243080, 302292, 4340976, 5155158, 2252850, 5218166, 2390239, 9993534, 7518932, 1260722, 3223733, 7078122, 554640, 6882224, 3990171, 2254840, 711951, 5227962, 4341906, 8265561, 3990738, 8370730, 9439723, 5280672, 3404340, 7006735, 4412792, 4311056, 1387266, 2061091, 4724236, 5394193, 1718039, 6263375, 9010112, 6774047, 6226055, 6739726, 8713637, 6493305, 3034292, 3658274, 8903418, 2149313, 2495482, 6400151, 649911, 4701644, 5182968, 9135541, 520529, 3491980, 2617850, 5344666, 546982, 855459, 9047307, 4337507, 5850068, 2429508, 5060912, 2281840, 3729530, 4159283, 5462973, 406369, 2149500, 435990, 5104488, 3411179, 7523837, 6777136, 5422689, 5320577, 1623256, 5307336, 1565039, 6061996, 9649175, 9652269, 1694104, 7166144, 121304, 8286885, 5006223, 1084728, 4595993, 2291651, 8567221, 9374616, 2150095, 2868264, 7283466, 5395194, 6340601, 811720, 3707968, 7375340, 5009678, 7632237, 3250095, 9535561, 7931767, 1783182, 4262378, 6036083, 9912783, 190190, 559433, 5634006, 7298847, 2058448, 5283556, 6986613, 7394596, 5172011, 4619271, 4271092, 316760, 2399238, 7589843, 2414019, 3620607, 69921, 1189775, 7589277, 7620540, 1325718, 7077110, 265303, 9485528, 6663530, 883621, 1925883, 5507639, 8547856, 689729, 5296827, 3808248, 7096824, 9755556, 9603604, 1353469, 3329211, 4156234, 5816295, 6436996, 442526, 4479626, 9400866, 373182, 5222046, 2948706, 8885283, 9891258, 5289888, 7568504, 3819942, 2406814, 1913699, 3182309, 3286823, 49532, 9744747, 1816820, 6849994, 1597622, 6057667, 4722912, 6997268, 8073871, 8880753, 8270843, 6242433, 7625459, 6563938, 4876276, 5483193, 6719547, 9850866, 2415529, 3427322, 7543811, 5867236, 3397942, 5418789, 2122390, 3111369, 434087, 1338008, 6964209, 6890216, 7824140, 5816813, 5077407, 8277312, 8055094, 592390, 5618549, 374779, 2368545, 6410866, 5793767, 7714735, 7437483, 2322221, 327799, 359573, 2148943, 5703958, 1612899, 981071, 9316951, 4127189, 4842565, 2156153, 9382809, 5089585, 2947818, 4722358, 2983076, 6340398, 7926500, 2974778, 8578782, 5942676, 730240, 1814032, 3216539, 6179830, 1264409, 5986885, 9645675, 4443777, 1827562, 2284857, 957776, 2245377, 3240211, 1603808, 7490811, 1545097, 1911338, 9255535, 8524190, 4275383, 7227022, 7083403, 5102173, 2003887, 2131606, 3869027, 6436898, 7099328, 5148207, 629296, 9903936, 3148804, 9782862, 823441, 6875933, 4370514, 8340993, 3491666, 2795889, 1786809, 3885657, 674211, 3215848, 9239906, 1320840, 4197400, 8437731, 1629069, 8900889, 2605355, 4471206, 3964019, 8687346),564), 6)
+  }
+
+  test("test5") {
+    assertEquals(Main.maximumLength(List(521419, 4724126, 2319089, 5152298, 4398845, 5355104, 3436896, 9131500, 4716913, 4778303, 541725, 6369024, 1147692, 2907150, 6730845, 973592, 868082, 788461, 8046938, 1329259, 7751076, 1928531, 743446, 4136510, 1493143, 7895147, 3178694, 9326993, 456922, 739351, 9874393, 4683289, 1342004, 8448246, 4290803, 4215446, 9391933, 1870897, 6075113, 4181833, 6757828, 9110268, 1977611, 3873075, 3117410, 7436528, 9406601, 3136485, 7863939, 5706249, 5280495, 7308478, 9428065, 4944625, 4479170, 3945928, 7343336, 5146704, 2880213, 3668073, 3981866, 8893537, 4811317, 2893951, 3856884, 8249663, 7480352, 4276569, 920591, 4959695, 6103693, 3659192, 1687582, 2150300, 1622418, 5837247, 403494, 5161334, 2412302, 5513664, 133347, 4540293, 333892, 3729368, 1526907, 4869168, 2666494, 2635582, 6374107, 4189521, 9772154, 5467844, 2333963, 1046336, 6276799, 8805989, 2138492, 8939289, 4912190, 3541951, 9912452, 542693, 6605063, 6084501, 5726126, 7294586, 383237, 6574327, 3025578, 8723168, 2283908, 9043048, 7595583, 877235, 3833274, 3502303, 7784408, 7956154, 536567, 5841025, 861460, 502188, 7412108, 9979034, 8878316, 9140356, 7342859, 7298729, 1404717, 2311500, 2748498, 6614627, 6949444, 2209840, 9738261, 9427623, 2353605, 325764, 1263026, 2708663, 5849094, 4209937, 2471438, 7629853, 6682812, 1021662, 1062298, 4943862, 8456821, 8561025, 9543409, 2244916, 9612052, 3368765, 6963075, 6758800, 3403828, 2207842, 5835809, 4591383, 3372528, 7802409, 2537901, 7692983, 455731, 8822404, 2653340, 1889773, 4808027, 6826495, 1728424, 3391832, 911410, 4125807, 9365809, 3813871, 9405929, 1028290, 3183035, 7361029, 459190, 8330601, 9294912, 7016171, 7808454, 204091, 9770150, 9173344, 130300, 6614262, 6326916, 689161, 5960014, 774415, 2865417, 9265348, 3423492, 9046872, 3318872, 9814738, 6471935, 7417437, 2279155, 6770773, 1301612, 7349538, 2827325, 3490743, 3999657, 2173659, 1413044, 7980078, 7552335, 9981412, 1864276, 6800608, 5978473, 8147836, 7181442, 1560735, 7518240, 533956, 5317213, 8936411, 7675214, 113927, 1592905, 4200248, 5901938, 1885265, 7128106, 9272719, 8093598, 3147407, 2431169, 399647, 9580733, 5451219, 2203110, 3446692, 8497490, 8678770, 9403114, 2307292, 3990574, 2628821, 2926104, 9989554, 7019949, 1536789, 4499270, 4951565, 5929628, 1978377, 2376820, 6333842, 7005918, 6581390, 6440500, 5070245, 1752709, 9557529, 2067018, 1457761, 4624774, 7998799, 1999516, 7818143, 5071268, 809062, 3165834, 9983060, 9553059, 2413038, 5688754, 8441919, 6158057, 5417205, 7353564, 8127658, 3066170, 3718768, 2040905, 9405205, 8185241, 6696292, 8527488, 2754475, 3254102, 2214870, 886742, 3526595, 962223, 9009880, 9900964, 3782329, 2657928, 569849, 5026641, 2489928, 3160429, 7117508, 5784893, 9485100, 8808766, 4292046, 4942010, 2770884, 8218341, 4815917, 9602311, 7224738, 746664, 9581196, 5046124, 690829, 9750273, 9027964, 599075, 3430962, 4376704, 8022487, 2611004, 4380904, 9755458, 6480704, 1031427, 8847017, 5206666, 3803008, 6961472, 5999880, 63543),287), 7)
+  }
+
+  test("test6") {
+    assertEquals(Main.maximumLength(List(7915949, 1022332, 3765020, 7134429, 4939013, 5606624, 8369811, 4045493, 5402808, 5098903, 5018127, 6400570, 8564015, 9571054, 5204721, 8279325, 8116467, 7678487, 1201352, 2620279, 4443193, 8514009, 1322191, 4626213, 4676628, 4415277, 5606432, 8575850, 9856571, 6272689, 5567345, 325104, 3131488, 4277154, 7276167, 2408294, 6324996, 9063813, 218769, 4253226, 8480489, 4365605, 7309748, 4678698, 8567311, 8167161, 1823637, 5477093, 8917720, 5929539, 5406721, 4901312, 5521462, 6281001, 3234391, 3230702, 8572462, 7343212, 3622740, 4982491, 4625493, 8869515, 5944811, 7057570, 5063514, 4327448, 2660517, 1752759, 4286722, 5666776, 7485968, 5598413, 2155412, 2453027, 9860204, 3057631, 2608145, 9784707, 8700969, 6727131, 565341, 6507764, 5937986, 2481540, 4087833, 6802849, 1796691, 3166824, 8560914, 8661512, 6577318, 6634578, 1047714, 4509571, 1019511, 6987034, 5169909, 4677532, 1342838, 8109243, 8108682, 4311267, 7885046, 8666486, 9032615, 2444428, 8795894, 5147554, 4148694, 1302403, 6741041, 1619943, 9384041, 4345082, 2616183, 3917891, 7830114, 3351657, 6550146, 4111711, 2286283, 1823957, 7907925, 5269974, 1125903, 1420045, 2043872, 3417820, 9391392, 4039445, 1411976, 3626094, 4676219, 4964054, 9519230, 4374267, 8696770, 7178941, 1496062, 1473786, 1420427, 5100875, 1514145, 7902486, 9603019, 6989583, 9187262, 5841351, 7610592, 5432536, 3576294, 4287562, 3241147, 2661809, 2940350, 1639408, 4080857, 2327710, 4713352, 486401, 3820650, 2881971, 5228754, 326219, 5032371, 1744081, 8626561, 9850290, 5015201, 2863899, 1026326, 7826260, 7323357, 4984230, 7119762, 348631, 257044, 9805336, 8637674, 2775590, 1338834, 8045551, 1205039, 4426530, 3259954, 7704524, 2190859, 8076065, 6965872, 371836, 5462208, 3282264, 4096340, 6291453, 6657029, 5274437, 3817026, 8517669, 2323411, 6201596, 3422564, 2979963, 2568219, 1311210, 1288453, 7517743, 8647754, 9671625, 5660313, 5245530, 7115516, 4522110, 9162550, 7748709, 7577754, 8998683, 6565267, 6888265, 5387873, 9997953, 2010477, 4374087, 9222488, 7534022, 1325499, 5289822, 8700941, 5915531, 5249700, 7072433, 9792347, 4532846, 7912906, 1039534, 4168982, 6853010, 1357417, 5126361, 7540084, 9695497, 7180550, 9410891, 7530609, 5384124, 4510241, 3925032, 5468938, 5276335, 3207198, 538726, 6900227, 4598688, 452221, 4933923, 13427, 3035004, 15234, 1670059, 9168754, 2235153, 4092614, 6106470, 7649823, 9015469, 3361025, 7174708, 8854628, 7432016, 3359259, 4525190, 8107442, 6298215, 772026, 3858262, 3217437, 5241079, 7786987, 7883141, 2353943, 1567658, 6890297, 1874658, 2436660, 2086779, 1893785, 4983255, 7283345, 1021215, 2105612, 6969603, 3804199, 1594154, 7675831, 3331281, 3409536, 7962299, 7535841, 9530738, 1093826, 3439511, 7926518, 8217089, 9393979, 1009464, 5321964, 2434417, 3250551, 1476750, 250405, 5336579, 7378430, 5647567, 3137697, 614103, 3051315, 2990285, 3541382, 9883804, 3431077, 7360940, 3781496, 6325587, 4096126, 5561001, 9099845, 4924693, 9022491, 4782787, 6483408, 9945947, 9963374, 4881092, 4986237, 7433922, 4681216, 3574479, 7404854, 831004, 9330202, 8190403, 8313653, 7293578, 7864580, 3371977, 8034220, 4701750, 6480609, 6107917, 3951531, 2083675, 9504846, 2134023, 2564331, 6582858, 238015, 8118236, 522939, 1191507, 6977201, 2756219, 9503164, 1392037, 1787334, 543370, 1041480, 2195134, 5546747, 3987370, 9805200, 3915026, 1396111, 1050404, 2458575, 9574050, 86132, 4153175, 8125660, 3835919, 4378615, 4434320, 1254407, 2145569, 1401802, 6668286, 2816259, 9944955, 5506766, 6026304, 6008247, 5621322, 5951795, 2209188, 3536887, 3541357, 2579049, 328821, 1626819, 2015132, 6117084, 8757695, 1373409, 2069090, 1529117, 8675136, 5647857, 5239600, 2679165, 790251, 9952109, 6609020, 1582517, 4508075, 1263875, 2025165, 9281237, 2130776, 9663438, 9023715, 758815, 152554, 952749, 5677420, 2019777, 3313549, 4380549, 4651545, 7648702, 1349148, 5110748, 6569695, 8068904, 9525921, 3831514, 3623992, 721053, 429809, 4683548, 8714938, 7045600, 1967494, 8462531, 6219951, 3786155, 9199945, 6147085, 9233656, 9032005, 5216395, 9587000, 1216520, 8379822, 174213, 1148104, 1642094, 8350399, 4000453, 1138531, 9408084, 6229680, 9386046, 4405142, 3092686, 4227932, 2832622, 1429319, 7149056, 7243087, 9350746, 7031418, 402861, 1383314, 5881216, 2767469, 8277970, 5400880, 2977427, 2174745, 8761500, 6708186, 5008365, 7248940, 4832596, 1836455, 812461, 7849433, 3198788, 4755679, 7788387, 1370265, 7142429, 6181252, 7839773, 4971665, 6381699, 3565035, 5395776, 8533719, 8510178, 6797611, 5481141, 8197118, 7204458, 1430186, 2144318, 6109812, 1709679, 2828450, 1285444, 2639754, 9278895, 7580536, 2454928, 9604074, 2940641, 7915747, 72301, 7605277, 3590865, 9432284, 8864501, 4454150, 4832035, 8913008, 3871185, 8203014, 7302609, 8940990, 4743851, 4053870, 8916639, 4498866, 2551100, 962928, 9142984, 4930506, 4094894, 7980172, 55685, 380534, 317566, 6935114, 408044, 2925897, 2333839, 7740909, 7350618, 474628, 5403085, 923150, 9411161, 5835459, 7783663, 6312087, 3114975, 7693928, 5692771, 7915138, 5680115, 8859382, 5513213, 8677152, 8552967, 1890828, 9128588, 1474473, 4000712, 5273223, 9776410, 3895586, 219326, 3375230, 5457101, 3515766, 7762810, 6731124, 812700, 757313, 1507718, 9321133, 5532052, 2632952, 6054809, 6341312, 6079019, 4657391, 3055086, 9680991, 7132221, 9518553, 8610907, 8258056, 5234329, 5321196, 6258978, 8703881, 5080072, 804610, 8370208, 3976935, 3489478, 130260, 4208566, 2202032, 9295930, 5465694, 4375167, 1319964, 5793078, 792076, 6840314, 274901, 8185087, 1160258, 7830932, 9606386, 6507481, 5840196, 8065882, 4663986, 8734133, 9805401, 3832519, 2393623, 629082, 1207599, 2449122, 6348368, 3930978, 7331484, 1548572, 3249845, 801931, 4671, 3993152, 6534296, 7954618, 4580563, 4057786, 8411645, 6106669, 7163370, 1249618, 6032016, 9302430, 98305, 4283173, 1773030, 4642798, 2480639, 902778, 7248981, 1028519, 8122999, 9120271, 1920288, 5486962, 7455828, 2241088, 8354533, 763566, 5440348, 8168887, 4116525, 1863303, 5454569, 1603654, 7431100, 4576951, 6899427, 2425430, 1899226, 3687921, 1814945, 22267, 9651632, 756503, 932249, 9002189, 8424282, 6444139, 5591633, 1772667, 2536911, 7985536, 3706723, 2020876, 5797426, 3606275, 2187101, 27665, 5898988, 1860532, 5294031, 6717874, 2390377, 9897601, 7911078, 6491609, 126271, 9763739, 4001666, 9791, 9949007, 272529, 5918115, 8987068, 8730477),672), 8)
+  }
+
+  test("test7") {
+    assertEquals(Main.maximumLength(List(3923315, 655315, 3026545, 5836948, 6588206, 2815311, 5475867, 9068934, 7861468, 2453761, 8839711, 5327527, 2149460, 5241347, 8901652, 5247869, 2331353, 1626885, 2008561, 5702260, 4182350, 2139201, 101038, 3147600, 5573617, 7967604, 8653644, 9963836, 240235, 5691827, 5986158, 4053687, 7019150, 5990041, 2077228, 6656728, 5692503, 8106720, 6529398, 2876136, 5299214, 5532889, 5251714, 9183989, 9361715, 663557, 8393460, 2406041, 7953722, 8854619, 1759211, 5769738, 8764277, 6629875, 7156367, 5881963, 4286030, 8980435, 6556374, 9633898, 6389470, 5019092, 9901845, 7632312, 1404300, 3522223, 671772),395), 4)
+  }
+
+  test("test8") {
+    assertEquals(Main.maximumLength(List(3667457, 457901, 5487200, 8356554, 2651168, 6194358, 4234193, 392948, 4219742, 523839, 6259716, 241868, 1480404, 5768961, 9551907, 5608147, 419918, 8640266, 2461226, 203876, 8351682, 5879327, 1323810, 5204584, 6847305, 6981556, 6354276, 8329559, 4993026, 527176, 5960561, 8289947, 3548286, 5919075, 29649, 1707398, 2289587, 5599929, 699155, 1703925, 9630014, 778669, 3023493, 5744701, 6106473, 9781967, 3602607, 9637550, 3042238, 8256315, 354959, 3136129, 972646, 3080800, 1136552, 9245581, 1421673, 6621775, 3799365, 4905572, 6651029, 899037, 8050887, 7805073, 2336253, 2649628, 8034568, 7320613, 594344, 3906624, 1803202, 4057961, 7987119, 6033926, 2896316, 7968484, 6197072, 6929222, 5202378, 7450007, 4891860, 7892459, 185738, 7021335, 3117992, 6194544, 571923, 5593193, 9631290, 6513953, 8288178, 136328, 9972551, 1732339, 7373626, 2271079, 1433051, 6359389, 9161781, 8984482, 7589441, 6387712, 2500944, 7883226, 7198102, 5085745, 3628276, 3632793, 5352320, 6452062, 6320526, 736923, 1634674, 1377581, 2650764, 4580526, 1913989, 1761093, 6289494, 6634867, 9512247, 236251, 3970148, 9453667, 5799106, 471000, 3326108, 3293354, 9751793, 601032, 4977857, 8143761, 6742396, 631859, 3932328, 6826561, 6145488, 2172986, 5225673, 4242354, 4483085, 2439760, 3361913, 6043913, 4421622, 54281, 3299734, 6765820, 8133441, 8913415, 1509453, 7148582, 5655572, 8488791, 2636768, 6761256, 4059960, 7758868, 4685163, 6833484, 9567870, 9318983, 3718786, 2918167, 8292629, 6806261, 7163105, 9425478, 5960844, 1823145, 2618162, 1263051, 2043899, 1824206, 3969777, 3166818, 4278552, 9230096, 8197644, 8647631, 4422138, 7284003, 7229713, 6040805, 3252837, 8515023, 3740773, 3455897, 6707179, 3199292, 4323014, 6589488, 1526014, 3962710, 1221032, 4596236, 2830758, 6520429, 385319, 6067506, 6283212, 8071870, 9761556, 8667644, 9455272, 2706658, 1065216, 8256722, 5698204, 8905620, 1804875, 693746, 2939420, 1486326, 6858798, 5503682, 4742903, 5314900, 5800696, 9284324, 1584263, 2313869, 8279541, 3626053, 59462, 6045670, 9914020, 9863563, 98129, 8088685, 6415066, 1282377, 9525808, 5305863, 2460583, 559762, 5793634, 2259448, 8159853, 4104679, 7149885, 3293718, 9556696, 7754483, 5677058, 631352, 7267280, 3795343, 4441394, 5311124, 1629215, 2527096, 6771607, 3671153, 6907031, 6677164, 7041724, 6043634, 4526234, 4689985, 871836, 7100348, 5763768, 5812750, 8076789, 3019661, 3307190, 5154586, 8602611, 3535364, 3408958, 4853484, 1100893, 2512640),925), 5)
+  }
+
+  test("test9") {
+    assertEquals(Main.maximumLength(List(1608698, 597159, 1860777, 1854067, 8731126, 2728129, 3538328, 8098830, 5654737, 9773627, 7531389, 7337223, 8689125, 463077, 1681161, 1613389, 1844165, 9625060, 7376295, 9311636, 1631975, 2730294, 1292510, 1757084, 3177948, 906302, 4232122, 1475456, 9647903, 8940944, 7625594, 9519055, 9999733, 6201007, 7990088, 6281304, 2612437, 5782281, 9717014, 383260, 2346438, 8014529, 5085816, 507585, 4945370, 1590682, 5655709, 4593744, 2346279, 5976913, 675006, 3401244, 7340105, 2708039, 8401197, 7040778, 8226547, 2292463, 1665152, 9933068, 5788884, 1247690, 1761166, 7445796, 4969453, 3308964, 8795620, 7885584, 3382335, 7792574, 7489385, 9709608, 1626098, 6376403, 1379708, 4684642, 8008931, 5014800, 3736110, 717193, 3072181, 9740144, 708299, 1052672, 5943695, 2648850, 683975, 5466214, 9455437, 8396142, 575713, 7521214, 4105229, 8229078, 2955451, 3537251, 8908243, 4998375, 9541586, 5179535, 6514125, 1042498, 8583702, 4823299, 7565473, 6593173, 9477479, 6025885, 7730302, 4045900, 3300740, 6038089, 4839978, 3099194, 26493, 5312770, 9540080, 425197, 7791210),9), 20)
+  }
+
+  test("test10") {
+    assertEquals(Main.maximumLength(List(8041098, 5646447, 9493175, 9444602, 2324381, 8828340, 4263939, 8141072, 5752540, 9874456, 2708035, 7763626, 486352, 1646010, 8963719, 2124576, 1360254, 7491753, 798282, 7700708, 1914852, 7105947, 2841075, 2792564, 4594234, 1783367, 8513655, 8520532, 6931558, 8042976, 8263465, 3801380, 2970576, 7560746, 4373670, 4973846, 703893, 8414909, 8931855, 2386620, 4177362, 5217054, 6100706, 9711158, 8416795, 7669684, 4286902, 2349805, 7574286, 1694314, 2577312, 9050670, 8433847, 1864429, 5651388, 9814996, 9823327, 4303102, 7670976, 9716466, 4350859, 7377391, 431246, 533114, 5564950, 6073326, 3842952, 9956163, 3945690, 1381686, 5532055, 7839476, 8990053, 8906297, 6241662, 5133997, 870674, 1140433, 9591589, 8110202, 731013, 8126537, 50094, 5523317, 7501259, 9485484, 5636868, 290632, 6217640, 8686524, 476542, 654427, 8893050, 3331479, 9211577, 2121489, 2364713, 5617474, 5601255, 4284850, 4545593, 3830011, 8066824, 6006295, 8554643, 5287826, 2861752, 3636408, 7307197, 4833071, 5153611, 6384031, 6831113, 8225712, 7180019, 9197675, 2297581, 9852330, 68475, 1804872, 7287074, 1653932, 2599301, 9963122, 7669980, 7160877, 4373257, 2680100, 4708513, 9733407, 6767741, 7227108, 5281985, 1848647, 7067965, 5453221, 1257797, 1960892, 7447670, 5639598, 3233499, 1771673, 5711637, 1169935, 4463255, 3272357, 675336, 4520681, 653900, 8711516, 597605, 8572347, 8393899, 1832286, 7089754, 2898094, 3797598, 9840682, 331882, 6915611, 4899021, 5324356, 5613778, 3515791, 6816739, 9659667, 9907274, 2433244, 9445760, 2101661, 2434403, 7019539, 7188598, 8911776, 417102, 1735409, 7235577, 115499, 7115129, 8208128, 2773372, 8652493, 2132879, 9078071, 1410443, 5659892, 3513163, 2291963, 1746874, 4633838, 8679057, 3209519, 3240317, 744878, 3715906, 6019322, 7668580, 5348626, 5130421, 4621716, 8832551, 1741672, 7889223, 1035838, 1902605, 8649966, 3800223, 3313548, 4037330, 7062566, 9604200, 1030747, 6538617, 404287, 8796080, 3226373, 3026786, 9171862, 697788, 8470806, 3346403, 4339767, 5023662, 6398709, 3027483, 770881, 209520, 1840012, 7233066, 4630277, 2363808, 7702142, 8229973, 6597327, 1023406, 749572, 6265374, 5441975, 3060186, 7005950, 3033712, 5823736, 3847250, 4465670, 9353498, 9444316, 3001300, 4591070, 9126995, 4649102, 212854, 4436278, 6083090, 6660255, 8472050, 5173402, 8276659, 4878677, 4504708, 9935953, 402530, 4767180, 3082989, 8570553, 1283293, 4918489, 6971528, 5412525, 9635257, 8101028, 3498003, 959719, 6850930, 4136430, 4280311, 3076934, 4381228, 1550966, 1694794, 6343537, 9451634, 5019140, 6712186, 7152979, 7266145, 798489, 663789, 6109619, 6748510, 1963059, 9123419, 4574574, 2349215, 6299692, 5509001, 3837979, 8854637, 6873903, 6237377, 1205890, 3961540, 92455, 1067335, 4734781, 7889854, 30434, 89654, 6867864, 331848, 4563253, 3813207, 5726428, 5901391, 3463054, 3508153, 3289068, 3420918, 3816683, 2433151, 3872317, 1171727, 1298912, 532139, 9663158, 8579322, 3127854, 4678200, 9852536, 2630594, 4340898, 5034391, 3601053, 8022483, 1445743, 7120693, 7935900, 3336025, 7570738, 1305255, 747576, 319016, 8752559, 9748208, 9708220, 3725252, 6378615, 8403959, 9384186, 2227123, 7424, 6467110, 7011212, 7554705, 1933505, 8771706, 7535328, 828749, 6338993, 2818428, 7737290, 1850147, 7697876, 505808, 6420901, 2112050, 1245106, 494853, 5761411, 2707540, 8868106, 3011161, 7114211, 3245139, 3564243, 7228613, 1945983, 9669509, 2902357, 2991391, 8714470, 6652391, 1073009, 2227227, 2365305, 5900958, 8046092, 9559809, 3143813, 1400341, 2555788, 1514876, 238925, 1912494, 2828790, 9921539, 8093724, 9059720, 2273147, 406200, 5179191, 8524846, 6626925, 3894407, 5806081, 7369856, 3617205, 6608532, 6353307, 8034817, 3232883, 9420357, 7633124, 1932562, 5140868, 9035562, 8320704, 6697681, 6630297, 4165787, 1184691, 8362300, 9464738, 3637463, 6020268, 3974372, 2411821, 8627347, 7487287, 5967599, 9710825, 2058485, 1924920, 6179004, 484908, 3131215, 2090627, 8008225, 7602419, 9365229, 1845687, 1491958, 1890614, 635450, 1257442, 4425184, 2237316, 8076550, 1157496, 6113809, 2080462, 8801841, 5445774, 3916178, 9646430, 7288539, 3113312, 2259082, 4732395, 559204, 7633763, 603867, 2034133, 2163787, 4488857, 2510371, 6781124, 5280302, 7987517, 9715900, 8362428, 6796109, 5773443, 819383, 1036279, 1173048, 4384237, 2162901, 2179607, 4159504, 3427268, 1348756, 5409731, 4631008, 6306157, 6075272, 9303350, 579513, 8258755, 8018787, 8510392, 9728239, 6259271, 6004612, 9190121, 5726601, 6092971, 2214298, 7111071, 4049025, 836435, 8752448, 6792866, 7695800, 1528742, 5360945, 7864186, 796726, 2343261, 5089398, 1512994, 6151580, 9119311, 5145379, 6160110, 5125772, 3238527, 3912519, 2795215, 7128408, 4700097, 8837566, 6653405, 8988487, 8617618, 303636, 444680, 8283585, 6233017, 8065604, 2548259, 7623200, 9944801, 1885741, 8587249, 318421, 9863054, 2806568, 5719917, 450740, 1385444, 7657517, 8853882, 2973076, 6869632, 352441, 6479457, 6299721, 9809482, 5318382, 8618163, 6736408, 4451365, 2359811, 4932775, 8951082, 8085886, 4041514, 6132805, 1751179, 5068495, 3734119, 5587355, 3589140, 4102002, 1430564, 2132892, 3494123, 1744595, 1338414, 549220, 9051050, 731569, 1269349, 9826642, 6247503, 7818187, 4776205, 5998147, 4754492, 4486845, 5060881, 2304124, 2790152, 7243079, 5289284, 6467418, 9951070, 9752437, 362341, 9737030, 741290, 388377, 5383089, 6052922, 7173224, 7476280, 8758489, 8042129, 8404471, 1999786, 8704228, 8245228, 640936, 9079089, 7627672, 1681234, 2394053, 8910000, 9250740, 1555142, 863796, 3747668, 7889358, 6492568, 9496825, 1204400, 705999, 9269561, 555453, 2647906, 6955866, 3671916, 1977544, 526011, 5667956, 6545874, 5546512, 3856055, 6430935, 6932272, 1134158, 9117709, 7106760, 6620403, 4115093, 748959, 7469027, 5748637, 131026, 8362064, 158816, 7961754, 8669273, 4961767, 220757, 1589475, 7193561, 2745289, 9979412, 1334244, 8333179, 5939596, 9721609, 2110175, 9836156, 7192819, 5669883, 2319450, 1839825, 5917678, 9504534, 2576401, 9562624, 852102, 2546372, 4808819, 1846685, 768103, 9794926, 9822110, 5885528, 621221, 2594215, 2114031, 5022959, 3323594, 3317715, 7418041, 6866844, 5719488, 3257650, 8928833, 719042, 2040750, 2038912, 5732142, 8591701, 588642, 498363, 4921086, 269420, 8945049, 1374582, 3266726, 4605088, 7617802, 3342628, 9241395, 1216960, 6771075, 1084257, 3010866, 6293405, 1657131, 4405833, 9685567, 9289107, 3754583, 3889445, 5324107, 4090660, 8475780, 5572172, 3785738, 2406877, 5298268, 6744139, 6794473, 9904669, 404498, 9345628, 1505666, 8055577, 3752513, 4074278, 6157580, 9922983, 4729647, 7877399, 2526017, 3247595, 724640, 267178, 2588408, 7038502, 4811319, 2615403, 9014807, 5501180, 5528533, 914522, 855861, 1330353, 74322, 6763154, 8875257, 4324606, 7767154, 5170540, 2528522, 1868393, 5367855, 7086505, 6696617, 350085, 9570545, 523880, 1504460, 2288534, 3508833, 5369103, 1633783, 6656673, 5990846, 7797892, 9366146, 9528666, 5382819, 3142196, 2701750, 3771845, 8203406, 982719, 3183927, 3942619, 9429660, 1341748, 1653178, 7597273, 1873824, 5155694, 4509652, 7743866, 7083824, 671105, 5639055, 6080997, 6856376, 6449936, 9434224, 4995628, 3258289, 551403, 1430132, 480743, 9865766, 4536628, 1694740, 5437861, 9746206, 4381627, 2523101, 7716783, 8176256, 9566510, 2096564, 1349920, 6358331, 4316682, 7422181, 1896415, 6589647, 6169564, 7563372, 3862914, 1845710, 3661981, 5885629, 5390677, 168052, 4473211, 2833023, 2042024, 7937137, 4602560, 3795131, 8807585, 6465776, 4577846, 2356789, 1085069, 7446293, 1556861, 9400877, 9392523, 4883816, 8542686, 8519479, 7297141, 9742373, 937832, 889990, 3022052, 4852896, 722783, 7713666, 4143371, 195949, 3163099, 6231973, 120670, 6922905),417), 11)
+  }
+
+}