title: Longest Subsequence Such That Difference Between Adjacents Is One
signature: function longest_subsequence_such_that_difference_between_adjacents_is_one(arr, n)
source_py: def longest_subsequence_such_that_difference_between_adjacents_is_one(arr, n):
      dp = [1 for i in range(n)]
      for i in range(n):
          for j in range(i):
              if ((arr[i] == (arr[j] + 1)) or (arr[i] == (arr[j] - 1))):
                  dp[i] = max(dp[i], (dp[j] + 1))
      result = 1
      for i in range(n):
          if (result < dp[i]):
              result = dp[i]
      return result
source_cpp: int longest_subsequence_such_that_difference_between_adjacents_is_one(vector<int> arr, int n) {
    int dp [ n ];
    for ( int i = 0;
    i < n;
    i ++ ) dp [ i ] = 1;
    for ( int i = 1;
    i < n;
    i ++ ) {
      for ( int j = 0;
      j < i;
      j ++ ) {
        if ( ( arr [ i ] == arr [ j ] + 1 ) || ( arr [ i ] == arr [ j ] - 1 ) ) dp [ i ] = max ( dp [ i ], dp [ j ] + 1 );
      }
    }
    int result = 1;
    for ( int i = 0;
    i < n;
    i ++ ) if ( result < dp [ i ] ) result = dp [ i ];
    return result;
  }
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({2, 13, 15, 17, 18, 20, 22, 24, 28, 34, 37, 43, 46, 47, 49, 51, 52, 54, 58, 64, 65, 77, 78, 79, 87, 90, 92, 93, 94, 97}, 23, 2)
      print(string.format("TEST-0...%s",result))
  
      result = driver({-86, -56, 76, 86, 42, -40, 8, 34, -48, -54, -80, 6, 42, 48, 76, -26, 6}, 15, 1)
      print(string.format("TEST-1...%s",result))
  
      result = driver({0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}, 16, 2)
      print(string.format("TEST-2...%s",result))
  
      result = driver({5, 22, 15, 26, 29, 47, 22}, 5, 1)
      print(string.format("TEST-3...%s",result))
  
      result = driver({-90, -84, -76, -76, -74, -74, -66, -58, -58, -56, -56, -44, -38, -36, -34, -32, -16, -10, 2, 6, 24, 24, 24, 34, 36, 54, 60, 68, 70, 76, 88}, 17, 1)
      print(string.format("TEST-4...%s",result))
  
      result = driver({0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1}, 26, 12)
      print(string.format("TEST-5...%s",result))
  
      result = driver({1, 3, 12, 12, 12, 12, 14, 17, 18, 19, 23, 27, 28, 30, 35, 38, 42, 44, 45, 48, 52, 59, 61, 64, 65, 69, 73, 76, 77, 82, 83, 85, 87, 99}, 23, 3)
      print(string.format("TEST-6...%s",result))
  
      result = driver({-54, -20, 24, -78, -58, 64, 34, 70, -36, -24}, 8, 1)
      print(string.format("TEST-7...%s",result))
  
      result = driver({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, 1, 1, 1}, 27, 2)
      print(string.format("TEST-8...%s",result))
  
      result = driver({5, 35, 75, 21, 82, 32, 28, 53, 20, 27, 42, 92, 32, 70, 81, 75, 72, 66, 97, 60, 11, 83, 14, 30, 5, 68, 17, 27, 62, 86, 26, 20, 97, 91, 44, 69}, 20, 2)
      print(string.format("TEST-9...%s",result))
  
  end
  
  main()
question_info.entry_cls_name: Solution
question_info.test_list: [{"idx": 0, "outputs": 2, "inputs": {"arr": [2, 13, 15, 17, 18, 20, 22, 24, 28, 34, 37, 43, 46, 47, 49, 51, 52, 54, 58, 64, 65, 77, 78, 79, 87, 90, 92, 93, 94, 97], "n": 23}}, {"idx": 1, "outputs": 1, "inputs": {"arr": [-86, -56, 76, 86, 42, -40, 8, 34, -48, -54, -80, 6, 42, 48, 76, -26, 6], "n": 15}}, {"idx": 2, "outputs": 2, "inputs": {"arr": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], "n": 16}}, {"idx": 3, "outputs": 1, "inputs": {"arr": [5, 22, 15, 26, 29, 47, 22], "n": 5}}, {"idx": 4, "outputs": 1, "inputs": {"arr": [-90, -84, -76, -76, -74, -74, -66, -58, -58, -56, -56, -44, -38, -36, -34, -32, -16, -10, 2, 6, 24, 24, 24, 34, 36, 54, 60, 68, 70, 76, 88], "n": 17}}, {"idx": 5, "outputs": 12, "inputs": {"arr": [0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1], "n": 26}}, {"idx": 6, "outputs": 3, "inputs": {"arr": [1, 3, 12, 12, 12, 12, 14, 17, 18, 19, 23, 27, 28, 30, 35, 38, 42, 44, 45, 48, 52, 59, 61, 64, 65, 69, 73, 76, 77, 82, 83, 85, 87, 99], "n": 23}}, {"idx": 7, "outputs": 1, "inputs": {"arr": [-54, -20, 24, -78, -58, 64, 34, 70, -36, -24], "n": 8}}, {"idx": 8, "outputs": 2, "inputs": {"arr": [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, 1, 1, 1], "n": 27}}, {"idx": 9, "outputs": 2, "inputs": {"arr": [5, 35, 75, 21, 82, 32, 28, 53, 20, 27, 42, 92, 32, 70, 81, 75, 72, 66, 97, 60, 11, 83, 14, 30, 5, 68, 17, 27, 62, 86, 26, 20, 97, 91, 44, 69], "n": 20}}]
question_info.extension: lua
question_info.entry_fn_name: longest_subsequence_such_that_difference_between_adjacents_is_one
question_info.test_case_ids: 0 1 2 3 4 5 6 7 8 9
question_info.commands: lua __FILENAME__