title: Check Given Circle Lies Completely Inside Ring Formed Two Concentric Circles
signature: function check_given_circle_lies_completely_inside_ring_formed_two_concentric_circles(r0, r10, r11, x1, y1)
source_py: def check_given_circle_lies_completely_inside_ring_formed_two_concentric_circles(r, R, r1, x1, y1):
      dis = int(math.sqrt(((x1 * x1) + (y1 * y1))))
      return (((dis - r1) >= R) and ((dis + r1) <= r))
source_cpp: bool check_given_circle_lies_completely_inside_ring_formed_two_concentric_circles(int r, int R, int r1, int x1, int y1) {
    int dis = sqrt ( x1 * x1 + y1 * y1 );
    return ( dis - r1 >= R && dis + r1 <= r );
  }
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(r0, r10, r11, x1, y1, expected)
      local exec_result;
      local status, error_msg = pcall(function () 
          exec_result=PLACEHOLDER_FN_NAME(r0, r10, r11, x1, y1) 
      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(8, 4, 2, 6, 0, true)
      print(string.format("TEST-0...%s",result))
  
      result = driver(400, 1, 10, 74, 38, true)
      print(string.format("TEST-1...%s",result))
  
      result = driver(1, 400, 10, 74, 38, false)
      print(string.format("TEST-2...%s",result))
  
      result = driver(61, 40, 2, 50, 0, true)
      print(string.format("TEST-3...%s",result))
  
      result = driver(60, 49, 68, 77, 71, false)
      print(string.format("TEST-4...%s",result))
  
      result = driver(88, 10, 69, 71, 26, false)
      print(string.format("TEST-5...%s",result))
  
      result = driver(60, 79, 92, 29, 38, false)
      print(string.format("TEST-6...%s",result))
  
      result = driver(26, 88, 75, 84, 10, false)
      print(string.format("TEST-7...%s",result))
  
      result = driver(33, 65, 57, 21, 61, false)
      print(string.format("TEST-8...%s",result))
  
      result = driver(70, 57, 77, 52, 87, false)
      print(string.format("TEST-9...%s",result))
  
  end
  
  main()
question_info.entry_cls_name: Solution
question_info.test_list: [{"idx": 0, "outputs": true, "inputs": {"r0": 8, "r10": 4, "r11": 2, "x1": 6, "y1": 0}}, {"idx": 1, "outputs": true, "inputs": {"r0": 400, "r10": 1, "r11": 10, "x1": 74, "y1": 38}}, {"idx": 2, "outputs": false, "inputs": {"r0": 1, "r10": 400, "r11": 10, "x1": 74, "y1": 38}}, {"idx": 3, "outputs": true, "inputs": {"r0": 61, "r10": 40, "r11": 2, "x1": 50, "y1": 0}}, {"idx": 4, "outputs": false, "inputs": {"r0": 60, "r10": 49, "r11": 68, "x1": 77, "y1": 71}}, {"idx": 5, "outputs": false, "inputs": {"r0": 88, "r10": 10, "r11": 69, "x1": 71, "y1": 26}}, {"idx": 6, "outputs": false, "inputs": {"r0": 60, "r10": 79, "r11": 92, "x1": 29, "y1": 38}}, {"idx": 7, "outputs": false, "inputs": {"r0": 26, "r10": 88, "r11": 75, "x1": 84, "y1": 10}}, {"idx": 8, "outputs": false, "inputs": {"r0": 33, "r10": 65, "r11": 57, "x1": 21, "y1": 61}}, {"idx": 9, "outputs": false, "inputs": {"r0": 70, "r10": 57, "r11": 77, "x1": 52, "y1": 87}}]
question_info.extension: lua
question_info.entry_fn_name: check_given_circle_lies_completely_inside_ring_formed_two_concentric_circles
question_info.test_case_ids: 0 1 2 3 4 5 6 7 8 9
question_info.commands: lua __FILENAME__