title: Maximum Length Subsequence Difference Adjacent Elements Either 0 1
signature: function maximum_length_subsequence_difference_adjacent_elements_either_0_1(arr, n)
source_py: def maximum_length_subsequence_difference_adjacent_elements_either_0_1(arr, n):
      mls = []
      max = 0
      for i in range(n):
          mls.append(1)
      for i in range(n):
          for j in range(i):
              if ((abs((arr[i] - arr[j])) <= 1) and (mls[i] < (mls[j] + 1))):
                  mls[i] = (mls[j] + 1)
      for i in range(n):
          if (max < mls[i]):
              max = mls[i]
      return max
source_cpp: int maximum_length_subsequence_difference_adjacent_elements_either_0_1(vector<int> arr, int n) {
    int mls [ n ], max = 0;
    for ( int i = 0;
    i < n;
    i ++ ) mls [ i ] = 1;
    for ( int i = 1;
    i < n;
    i ++ ) for ( int j = 0;
    j < i;
    j ++ ) if ( abs ( arr [ i ] - arr [ j ] ) <= 1 && mls [ i ] < mls [ j ] + 1 ) mls [ i ] = mls [ j ] + 1;
    for ( int i = 0;
    i < n;
    i ++ ) if ( max < mls [ i ] ) max = mls [ i ];
    return max;
  }
question_info.entry_fn_name: maximum_length_subsequence_difference_adjacent_elements_either_0_1
question_info.entry_cls_name: Solution
question_info.test_case_ids: ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9']
question_info.test_code: 
  
  -- SOLUTION CODE
  -- ============================================
  PLACEHOLDER_CODE_BODY
  
  -- TESTING CODE 
  -- ============================================
  function isCorrect(actual, expected)
      if type(expected) ~= type(actual) then
          return false
      end
      
      if type(expected) == 'table' then
          for k,v_expected in pairs(expected) do
              
              if actual[k] == nil then
                  return false
              end
              local v_actual = actual[k]
              if not isCorrect(v_actual, v_expected) then
                  return false
              end
              actual[k]=nil
          end
      
          if next(actual) then 
              return false
          end
          return true
      else
          return actual == expected
      end
  end
  
  function validateSolution(actual, expected)
      return isCorrect(actual,expected)
  end
  
  function driver(arr, n, expected)
      local exec_result;
      local status, error_msg = pcall(function () 
          exec_result=PLACEHOLDER_FN_NAME(arr, n) 
      end)
      if status then
          if validateSolution(exec_result,expected) then
              return "PASSED"
          end
          return "FAILED"
      else
          return string.format("ERROR=%s",string.gsub(error_msg,".*:[%d]+: ",""))
      end
  end
      
  function main()
      result = driver({4, 5, 9, 31, 31, 37, 41, 55, 56, 61, 79, 81, 89, 93}, 12, 2)
      print(string.format("TEST-0...%s",result))
  
      result = driver({-76, 96, -68, -16, 22, -24, -24, 6, 98, -82, 54, -80, 46, 0, 0, -50}, 15, 2)
      print(string.format("TEST-1...%s",result))
  
      result = driver({0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}, 29, 29)
      print(string.format("TEST-2...%s",result))
  
      result = driver({97, 93, 43, 51, 15, 33, 13, 96, 39, 89, 78, 25, 45, 6, 64, 54}, 13, 2)
      print(string.format("TEST-3...%s",result))
  
      result = driver({-98, -78, -72, -70, -68, -58, -56, -54, -46, -44, -38, -34, -30, -24, -18, -16, -14, -12, 2, 6, 8, 8, 10, 10, 16, 24, 26, 28, 40, 42, 44, 56, 58, 62, 66, 66, 78, 86}, 19, 1)
      print(string.format("TEST-4...%s",result))
  
      result = driver({1, 1, 0, 1, 0, 0}, 3, 3)
      print(string.format("TEST-5...%s",result))
  
      result = driver({7, 8, 10, 11, 12, 15, 16, 16, 19, 21, 23, 23, 23, 25, 26, 35, 38, 43, 46, 47, 51, 52, 53, 57, 60, 61, 66, 67, 69, 74, 75, 81, 83, 84, 88, 92, 94, 98, 98, 99}, 34, 3)
      print(string.format("TEST-6...%s",result))
  
      result = driver({14, -40}, 1, 1)
      print(string.format("TEST-7...%s",result))
  
      result = driver({0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}, 38, 38)
      print(string.format("TEST-8...%s",result))
  
      result = driver({59, 70, 53}, 1, 1)
      print(string.format("TEST-9...%s",result))
  
  end
  
  main()
question_info.test_list: [{"idx": 0, "outputs": 2, "inputs": {"arr": [4, 5, 9, 31, 31, 37, 41, 55, 56, 61, 79, 81, 89, 93], "n": 12}}, {"idx": 1, "outputs": 2, "inputs": {"arr": [-76, 96, -68, -16, 22, -24, -24, 6, 98, -82, 54, -80, 46, 0, 0, -50], "n": 15}}, {"idx": 2, "outputs": 29, "inputs": {"arr": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], "n": 29}}, {"idx": 3, "outputs": 2, "inputs": {"arr": [97, 93, 43, 51, 15, 33, 13, 96, 39, 89, 78, 25, 45, 6, 64, 54], "n": 13}}, {"idx": 4, "outputs": 1, "inputs": {"arr": [-98, -78, -72, -70, -68, -58, -56, -54, -46, -44, -38, -34, -30, -24, -18, -16, -14, -12, 2, 6, 8, 8, 10, 10, 16, 24, 26, 28, 40, 42, 44, 56, 58, 62, 66, 66, 78, 86], "n": 19}}, {"idx": 5, "outputs": 3, "inputs": {"arr": [1, 1, 0, 1, 0, 0], "n": 3}}, {"idx": 6, "outputs": 3, "inputs": {"arr": [7, 8, 10, 11, 12, 15, 16, 16, 19, 21, 23, 23, 23, 25, 26, 35, 38, 43, 46, 47, 51, 52, 53, 57, 60, 61, 66, 67, 69, 74, 75, 81, 83, 84, 88, 92, 94, 98, 98, 99], "n": 34}}, {"idx": 7, "outputs": 1, "inputs": {"arr": [14, -40], "n": 1}}, {"idx": 8, "outputs": 38, "inputs": {"arr": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], "n": 38}}, {"idx": 9, "outputs": 1, "inputs": {"arr": [59, 70, 53], "n": 1}}]