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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:

def _uninstall(name=None, pkgs=None, root=None):
    '''
    Remove and purge do identical things but with different Zypper commands,
    this function performs the common logic.
    '''
    try:
        pkg_params = __salt__['pkg_resource.parse_targets'](name, pkgs)[0]
    except MinionError as exc:
        raise CommandExecutionError(exc)

    includes = _find_types(pkg_params.keys())
    old = list_pkgs(root=root, includes=includes)
    targets = []
    for target in pkg_params:
        # Check if package version set to be removed is actually installed:
        # old[target] contains a comma-separated list of installed versions
        if target in old and pkg_params[target] in old[target].split(','):
            targets.append(target + "-" + pkg_params[target])
        elif target in old and not pkg_params[target]:
            targets.append(target)
    if not targets:
        return {}

    systemd_scope = _systemd_scope()

    errors = []
    while targets:
        __zypper__(systemd_scope=systemd_scope, root=root).call('remove', *targets[:500])
        targets = targets[500:]

    _clean_cache()
    new = list_pkgs(root=root, includes=includes)
    ret = salt.utils.data.compare_dicts(old, new)

    if errors:
        raise CommandExecutionError(
            'Problem encountered removing package(s)',
            info={'errors': errors, 'changes': ret}
        )

    return ret