title: Minimum Number Subsets Distinct Elements
signature: function minimum_number_subsets_distinct_elements(ar, n)
source_py: def minimum_number_subsets_distinct_elements(ar, n):
      res = 0
      ar.sort()
      for i in range(0, n):
          count = 1
          for i in range((n - 1)):
              if (ar[i] == ar[(i + 1)]):
                  count += 1
              else:
                  break
          res = max(res, count)
      return res
source_cpp: int minimum_number_subsets_distinct_elements(vector<int> ar, int n) {
    int res = 0;
    sort(ar.begin(), ar.end());
    for ( int i = 0;
    i < n;
    i ++ ) {
      int count = 1;
      for (;
      i < n - 1;
      i ++ ) {
        if ( ar [ i ] == ar [ i + 1 ] ) count ++;
        else break;
      }
      res = max ( res, count );
    }
    return res;
  }
question_info.entry_fn_name: minimum_number_subsets_distinct_elements
question_info.entry_cls_name: Solution
question_info.test_case_ids: ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9']
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(ar, n, expected)
      local exec_result;
      local status, error_msg = pcall(function () 
          exec_result=PLACEHOLDER_FN_NAME(ar, 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, 2, 5, 8, 16, 21, 21, 22, 23, 26, 26, 27, 27, 29, 31, 33, 36, 37, 37, 38, 42, 45, 47, 50, 57, 58, 60, 60, 62, 63, 66, 66, 76, 84, 84, 88, 96, 99}, 25, 1)
      print(string.format("TEST-0...%s",result))
  
      result = driver({-96, -96, -94, -94, -82, -82, -62, -60, -46, -46, -38, -36, -36, -30, -24, -22, -18, -14, -10, 2, 4, 4, 4, 8, 8, 12, 24, 34, 46, 50, 52, 70, 78, 78, 80, 80, 82, 82, 82, 86, 92, 94}, 35, 2)
      print(string.format("TEST-1...%s",result))
  
      result = driver({0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1}, 34, 27)
      print(string.format("TEST-2...%s",result))
  
      result = driver({16, 38, 38, 41, 47, 48, 48, 48, 49, 62, 84, 92, 99}, 6, 1)
      print(string.format("TEST-3...%s",result))
  
      result = driver({-88, -64, -40, -38, -38, -16, 16, 20, 28, 40, 56, 58, 60, 68, 74, 92}, 12, 1)
      print(string.format("TEST-4...%s",result))
  
      result = driver({0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1}, 29, 22)
      print(string.format("TEST-5...%s",result))
  
      result = driver({14, 24, 82, 87, 95}, 3, 1)
      print(string.format("TEST-6...%s",result))
  
      result = driver({-90, -88, -84, -80, -80, -76, -68, -64, -58, -58, -58, -46, -40, -34, -18, -14, -10, 2, 2, 4, 8, 12, 14, 22, 40, 40, 46, 50, 52, 62, 62, 64, 68, 76, 90, 94}, 34, 1)
      print(string.format("TEST-7...%s",result))
  
      result = driver({0, 1, 1, 1}, 3, 1)
      print(string.format("TEST-8...%s",result))
  
      result = driver({5, 6, 17, 41, 43, 68, 68, 86, 89, 90}, 7, 1)
      print(string.format("TEST-9...%s",result))
  
  end
  
  main()
question_info.test_list: [{"idx": 0, "outputs": 1, "inputs": {"ar": [1, 2, 5, 8, 16, 21, 21, 22, 23, 26, 26, 27, 27, 29, 31, 33, 36, 37, 37, 38, 42, 45, 47, 50, 57, 58, 60, 60, 62, 63, 66, 66, 76, 84, 84, 88, 96, 99], "n": 25}}, {"idx": 1, "outputs": 2, "inputs": {"ar": [-96, -96, -94, -94, -82, -82, -62, -60, -46, -46, -38, -36, -36, -30, -24, -22, -18, -14, -10, 2, 4, 4, 4, 8, 8, 12, 24, 34, 46, 50, 52, 70, 78, 78, 80, 80, 82, 82, 82, 86, 92, 94], "n": 35}}, {"idx": 2, "outputs": 27, "inputs": {"ar": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1], "n": 34}}, {"idx": 3, "outputs": 1, "inputs": {"ar": [16, 38, 38, 41, 47, 48, 48, 48, 49, 62, 84, 92, 99], "n": 6}}, {"idx": 4, "outputs": 1, "inputs": {"ar": [-88, -64, -40, -38, -38, -16, 16, 20, 28, 40, 56, 58, 60, 68, 74, 92], "n": 12}}, {"idx": 5, "outputs": 22, "inputs": {"ar": [0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1], "n": 29}}, {"idx": 6, "outputs": 1, "inputs": {"ar": [14, 24, 82, 87, 95], "n": 3}}, {"idx": 7, "outputs": 1, "inputs": {"ar": [-90, -88, -84, -80, -80, -76, -68, -64, -58, -58, -58, -46, -40, -34, -18, -14, -10, 2, 2, 4, 8, 12, 14, 22, 40, 40, 46, 50, 52, 62, 62, 64, 68, 76, 90, 94], "n": 34}}, {"idx": 8, "outputs": 1, "inputs": {"ar": [0, 1, 1, 1], "n": 3}}, {"idx": 9, "outputs": 1, "inputs": {"ar": [5, 6, 17, 41, 43, 68, 68, 86, 89, 90], "n": 7}}]