title: Find N Th Element From Sterns Diatomic Series
signature: function find_n_th_element_from_sterns_diatomic_series(n)
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(n, expected)
      local exec_result;
      local status, error_msg = pcall(function () 
          exec_result=PLACEHOLDER_FN_NAME(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(37, 11)
      print(string.format("TEST-0...%s",result))
  
      result = driver(24, 2)
      print(string.format("TEST-1...%s",result))
  
      result = driver(13, 5)
      print(string.format("TEST-2...%s",result))
  
      result = driver(56, 3)
      print(string.format("TEST-3...%s",result))
  
      result = driver(26, 5)
      print(string.format("TEST-4...%s",result))
  
      result = driver(67, 11)
      print(string.format("TEST-5...%s",result))
  
      result = driver(82, 11)
      print(string.format("TEST-6...%s",result))
  
      result = driver(60, 4)
      print(string.format("TEST-7...%s",result))
  
      result = driver(64, 1)
      print(string.format("TEST-8...%s",result))
  
      result = driver(65, 7)
      print(string.format("TEST-9...%s",result))
  
  end
  
  main()
source_py: def find_n_th_element_from_sterns_diatomic_series(n):
      DP = ([0] * (n + 1))
      DP[0] = 0
      DP[1] = 1
      for i in range(2, (n + 1)):
          if (int((i % 2)) == 0):
              DP[i] = DP[int((i / 2))]
          else:
              DP[i] = (DP[int(((i - 1) / 2))] + DP[int(((i + 1) / 2))])
      return DP[n]
source_cpp: int find_n_th_element_from_sterns_diatomic_series(int n) {
    int DP [ n + 1 ];
    DP [ 0 ] = 0;
    DP [ 1 ] = 1;
    for ( int i = 2;
    i <= n;
    i ++ ) {
      if ( i % 2 == 0 ) DP [ i ] = DP [ i / 2 ];
      else DP [ i ] = DP [ ( i - 1 ) / 2 ] + DP [ ( i + 1 ) / 2 ];
    }
    return DP [ n ];
  }