title: Count Distinct Non Negative Pairs X Y Satisfy Inequality Xx Yy N 2
signature: function count_distinct_non_negative_pairs_x_y_satisfy_inequality_xx_yy_n_2(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(61, 54)
      print(string.format("TEST-0...%s",result))
  
      result = driver(45, 41)
      print(string.format("TEST-1...%s",result))
  
      result = driver(53, 50)
      print(string.format("TEST-2...%s",result))
  
      result = driver(4, 4)
      print(string.format("TEST-3...%s",result))
  
      result = driver(82, 73)
      print(string.format("TEST-4...%s",result))
  
      result = driver(86, 79)
      print(string.format("TEST-5...%s",result))
  
      result = driver(37, 35)
      print(string.format("TEST-6...%s",result))
  
      result = driver(48, 43)
      print(string.format("TEST-7...%s",result))
  
      result = driver(81, 71)
      print(string.format("TEST-8...%s",result))
  
      result = driver(50, 45)
      print(string.format("TEST-9...%s",result))
  
  end
  
  main()
source_py: def count_distinct_non_negative_pairs_x_y_satisfy_inequality_xx_yy_n_2(n):
      res = 0
      x = 0
      while ((x * x) < n):
          y = 0
          while (((x * x) + (y * y)) < n):
              res = (res + 1)
              y = (y + 1)
          x = (x + 1)
      return res
source_cpp: int count_distinct_non_negative_pairs_x_y_satisfy_inequality_xx_yy_n_2(int n) {
    int res = 0;
    for ( int x = 0;
    x * x < n;
    x ++ ) for ( int y = 0;
    x * x + y * y < n;
    y ++ ) res ++;
    return res;
  }