        read_file():</span>
<span class="sd">            Read the input file and return the filtered transactions, primary items, and secondary items.</span>
<span class="sd">        binarySearch(arr, item):</span>
<span class="sd">            Perform a binary search on the given array to find the given item.</span>
<span class="sd">        project(beta, file_data, secondary):</span>
<span class="sd">            Project the given beta itemset on the given database.</span>
<span class="sd">        search(col