abbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababba