title: Dynamic Programming High Effort Vs Low Effort Tasks Problem
signature: function dynamic_programming_high_effort_vs_low_effort_tasks_problem(high, low, n)
source_py: def dynamic_programming_high_effort_vs_low_effort_tasks_problem(high, low, n):
      if (n <= 0):
          return 0
      return max((high[(n - 1)] + dynamic_programming_high_effort_vs_low_effort_tasks_problem(high, low, (n - 2))), (low[(n - 1)] + dynamic_programming_high_effort_vs_low_effort_tasks_problem(high, low, (n - 1))))
source_cpp: int dynamic_programming_high_effort_vs_low_effort_tasks_problem(vector<int> high, vector<int> low, int n) {
    if ( n <= 0 ) return 0;
    return max ( high [ n - 1 ] + dynamic_programming_high_effort_vs_low_effort_tasks_problem ( high, low, ( n - 2 ) ), low [ n - 1 ] + dynamic_programming_high_effort_vs_low_effort_tasks_problem ( high, low, ( n - 1 ) ) );
  }
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(high, low, n, expected)
      local exec_result;
      local status, error_msg = pcall(function () 
          exec_result=PLACEHOLDER_FN_NAME(high, low, 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({1, 3, 9, 10, 13, 14, 15, 15, 17, 22, 23, 28, 30, 31, 37, 42, 45, 62, 62, 68, 68, 68, 78, 79, 82, 84, 87, 90, 99}, {5, 10, 11, 14, 16, 22, 24, 30, 34, 35, 37, 37, 39, 41, 42, 42, 43, 55, 57, 63, 71, 76, 83, 83, 85, 90, 91, 97, 99}, 18, 537)
      print(string.format("TEST-0...%s",result))
  
      result = driver({-78, -12, 26, 80, 50, 4, -80, 86, 12, -2, 18, -50, -90, 56, -50, 88, -62, 96, -44, -82, 56}, {-44, -14, 14, 0, 30, 78, 40, -12, -44, -16, 60, -12, -50, -66, 70, -98, -56, 48, -82, 94, 14}, 16, 452)
      print(string.format("TEST-1...%s",result))
  
      result = driver({1}, {1}, 0, 0)
      print(string.format("TEST-2...%s",result))
  
      result = driver({21, 28, 13, 48, 26, 49, 16, 70, 81, 35, 74, 12, 97, 61, 10, 84, 94, 78, 40, 30, 30, 84, 41, 4, 95, 79, 38, 29, 9}, {49, 88, 25, 93, 24, 56, 47, 44, 33, 27, 86, 57, 21, 25, 64, 44, 37, 99, 36, 54, 17, 29, 37, 17, 26, 43, 61, 27, 21}, 25, 1261)
      print(string.format("TEST-3...%s",result))
  
      result = driver({-80, -36, -32, -20, -14, -12, 10, 12, 72}, {-76, -54, -50, -28, 0, 58, 70, 78, 90}, 4, -56)
      print(string.format("TEST-4...%s",result))
  
      result = driver({1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1}, 24, 15)
      print(string.format("TEST-5...%s",result))
  
      result = driver({1, 7, 9, 10, 13, 14, 15, 20, 23, 24, 24, 24, 26, 27, 29, 31, 32, 33, 34, 35, 46, 48, 49, 51, 51, 53, 53, 56, 56, 60, 62, 64, 64, 70, 73, 73, 73, 74, 77, 78, 79, 79, 79, 80, 86, 89, 89, 92, 98}, {1, 3, 3, 4, 8, 8, 10, 10, 10, 12, 12, 15, 15, 22, 23, 28, 28, 30, 31, 33, 34, 35, 36, 36, 36, 42, 44, 44, 51, 54, 57, 58, 59, 59, 63, 65, 66, 68, 69, 71, 73, 76, 77, 78, 79, 79, 86, 87, 93}, 31, 784)
      print(string.format("TEST-6...%s",result))
  
      result = driver({56, 48, 40, -56, 44, -86, -28, -32, -34, 4, -94, -14, 28, -74}, {82, -40, -16, -64, 12, -6, 60, 48, -58, -4, 42, -28, 24, -58}, 8, 268)
      print(string.format("TEST-7...%s",result))
  
      result = driver({0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1}, 16, 5)
      print(string.format("TEST-8...%s",result))
  
      result = driver({85, 13, 35, 57, 8, 48, 65, 54, 88, 7, 66, 30, 47, 51}, {1, 42, 42, 89, 3, 21, 49, 98, 4, 59, 26, 85, 53, 34}, 8, 453)
      print(string.format("TEST-9...%s",result))
  
  end
  
  main()
question_info.entry_cls_name: Solution
question_info.test_list: [{"idx": 0, "outputs": 537, "inputs": {"high": [1, 3, 9, 10, 13, 14, 15, 15, 17, 22, 23, 28, 30, 31, 37, 42, 45, 62, 62, 68, 68, 68, 78, 79, 82, 84, 87, 90, 99], "low": [5, 10, 11, 14, 16, 22, 24, 30, 34, 35, 37, 37, 39, 41, 42, 42, 43, 55, 57, 63, 71, 76, 83, 83, 85, 90, 91, 97, 99], "n": 18}}, {"idx": 1, "outputs": 452, "inputs": {"high": [-78, -12, 26, 80, 50, 4, -80, 86, 12, -2, 18, -50, -90, 56, -50, 88, -62, 96, -44, -82, 56], "low": [-44, -14, 14, 0, 30, 78, 40, -12, -44, -16, 60, -12, -50, -66, 70, -98, -56, 48, -82, 94, 14], "n": 16}}, {"idx": 2, "outputs": 0, "inputs": {"high": [1], "low": [1], "n": 0}}, {"idx": 3, "outputs": 1261, "inputs": {"high": [21, 28, 13, 48, 26, 49, 16, 70, 81, 35, 74, 12, 97, 61, 10, 84, 94, 78, 40, 30, 30, 84, 41, 4, 95, 79, 38, 29, 9], "low": [49, 88, 25, 93, 24, 56, 47, 44, 33, 27, 86, 57, 21, 25, 64, 44, 37, 99, 36, 54, 17, 29, 37, 17, 26, 43, 61, 27, 21], "n": 25}}, {"idx": 4, "outputs": -56, "inputs": {"high": [-80, -36, -32, -20, -14, -12, 10, 12, 72], "low": [-76, -54, -50, -28, 0, 58, 70, 78, 90], "n": 4}}, {"idx": 5, "outputs": 15, "inputs": {"high": [1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1], "low": [0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1], "n": 24}}, {"idx": 6, "outputs": 784, "inputs": {"high": [1, 7, 9, 10, 13, 14, 15, 20, 23, 24, 24, 24, 26, 27, 29, 31, 32, 33, 34, 35, 46, 48, 49, 51, 51, 53, 53, 56, 56, 60, 62, 64, 64, 70, 73, 73, 73, 74, 77, 78, 79, 79, 79, 80, 86, 89, 89, 92, 98], "low": [1, 3, 3, 4, 8, 8, 10, 10, 10, 12, 12, 15, 15, 22, 23, 28, 28, 30, 31, 33, 34, 35, 36, 36, 36, 42, 44, 44, 51, 54, 57, 58, 59, 59, 63, 65, 66, 68, 69, 71, 73, 76, 77, 78, 79, 79, 86, 87, 93], "n": 31}}, {"idx": 7, "outputs": 268, "inputs": {"high": [56, 48, 40, -56, 44, -86, -28, -32, -34, 4, -94, -14, 28, -74], "low": [82, -40, -16, -64, 12, -6, 60, 48, -58, -4, 42, -28, 24, -58], "n": 8}}, {"idx": 8, "outputs": 5, "inputs": {"high": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1], "low": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1], "n": 16}}, {"idx": 9, "outputs": 453, "inputs": {"high": [85, 13, 35, 57, 8, 48, 65, 54, 88, 7, 66, 30, 47, 51], "low": [1, 42, 42, 89, 3, 21, 49, 98, 4, 59, 26, 85, 53, 34], "n": 8}}]
question_info.extension: lua
question_info.entry_fn_name: dynamic_programming_high_effort_vs_low_effort_tasks_problem
question_info.test_case_ids: 0 1 2 3 4 5 6 7 8 9
question_info.commands: lua __FILENAME__