Help: Categories, The Loop, exclusion, and the Sidebar

All,

I have set up a template page that will limit its included posts to a category using the following:

<?php
$paged = (get_query_var('paged')) ? get_query_var('paged') : 1;
query_posts('cat=4&showposts='.get_option('posts_per_page'). '&paged=' . $paged);
?>

It works as I expect it to; great. However, in my sidebar is a “Recent Posts” widget that needs to be able to see posts in category ID #1, not 4, inorder to work properly. The query_posts function that i have at the top of the page, strips those posts out of the loop.

How can I get the “Recent Posts” widget to show posts in Category 1?