<SYSTEM_TASK:>
Solve the following problem using Python, implementing the functions described below, one line at a time
<END_TASK>
<USER_TASK:>
Description:
 def _convert_and_box_cache(arg, cache_array, box, errors, name=None):
 """ Convert array of dates with a cache and box the result Parameters arg : integer, float, string, datetime, list, tuple, 1-d array, Series cache_array : Series Cache of converted, unique dates box : boolean True boxes result as an Index-like, False returns an ndarray errors : string 'ignore' plus box=True will convert result to Index name : string, default None Name for a DatetimeIndex Returns ------- result : datetime of converted dates Returns: - Index-like if box=True - ndarray if box=False """

    from pandas import Series, DatetimeIndex, Index
    result = Series(arg).map(cache_array)
    if box:
        if errors == 'ignore':
            return Index(result, name=name)
        else:
            return DatetimeIndex(result, name=name)
    return result.values