⣬⣿⣽⣿⣽⣿⣽⣿� ��  � �⡟⢻⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿
⣿⣽⣿⣽⣿⣽⣿⣽⣿⡟⢰� �⢰⢰� �⣬� �⣬⡟⣬⣽� �⣽� �⣽⡟⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽
⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿� �⣬⣤⣬� �� �⡜⣬⣤⣬⢰⣬⢰⡜⢰� ��  ⣤�  ⢰�  ⣬⣬⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿
⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣬� �� ��  ⢰⣿⡟⣿⣽⣿⡟⣿⡟⣿⡟⣿⡟⣽� �⢻⣬⣬�  ⢰⢰⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽
⣽⣿⣽⣿⣽⣿⣽⣿⡜⣬⢰� �⢰� �� �⣿⢻⣿� �⣿� �� �⡟⣽� �⣽⣽⣿� �⣽� �⣽� �⣽⣽⣿� �⣬� �⢰⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿
⣿⣽⣿⣽⣿⣬⡜⢰� �� �⡟⡟⣿⣽⣽� �⣽� �⣿⣬�  ⢰⣿� �⣽⡟�  ⣬⣿� �⣽� �⣽�  � �⣽⣿⢻⣿� ��  ⣬⣿⣽⣿� �⣿⣽⣿⣽
⣽⣿⣽⢰� �⡜⣬� ��  �  �  ⣽⣽� �� �⣽� �⣿⣬⢰� �� �⢻⣽⢻⡟� ��  ⡟⣽� �⣽� �⣿�  ⢰⣽⣽� �⣿� ��  � �⣿� ��  ⡜⣿⣽⣿
⣿� ��  � �� �⣽⣽⢰� �⢻⣿⡟⣽� �⣽⣽⣿� ��  ⣽⡜⣤⣿� �⣿�  � �⣬⢰⣽⣽� �⣽⡟⣿� �⣬⣽⣽� �⣿⣽�  � �⢰� ��  ⣽⣿⣽
⣽⣿⣽⣿⣽⢻� �⡜⣽⣿⣽⣿� �� �� �� �⡜�  � �⣿� �⣤⣽⣽⣽�  ⡜⣬� �� �⡟⣿⢻⣿⣽� �� �⣿⡟⣽⣽⣽� �⣬� �� �� �⡜⣽⣿
⣿⣽⣿⣽⢰� �� �⡜⡜⡜⣿⡟�  � �⣽� ��  � �⣿⣽� �� �⣿� �⣽� �⣿⣽� �� �⡜�  � �⢰⢻� ��  �  ⣿⣽⣽� �� �� �⣽⣽⣿� ��  ⣽
⣽⣿⣽⢰� �� ��  �  � �⣬⣤�  ⢰⣿⣽⣬⣬⣿⣽⣿� ��  ⣽⣿� ��  ⣽⣿⣽⢰⡜⣿� �⣬� �⣽� ��  ⢰⣿� �⣬�  � �⣽⣿⡟⢻� �⣬
⣿⣽⣬� �⢰� �⣽⢰⢰⣬� �� �� �� ��  � �⢰⢻⣿⣽⣿� �⣿⣽⣿� �⣿⣽⣿⢻⢰⣽⣿⣽⣿⣽�  � �⢰⣬�  ⡟�  ⢰� �⢰⡜⣤� �⢰
⣽⣿� ��  ⣬⣿⣽�  � �⢻�  ⢰� �⢰�  ⣿⣬�  � �⡟⣽� �� �� �⢰�  ⣽⣿� �� �� ��  �  ⣽� �⣬� �⢻� ��  �  � ��  � �⡜⣬⣤� �⢰⣬
⣿� �⣬⣽⣿⣽⣿� �⡟�  �  ⢰� �� �⣿⣽⣿� ��  � �⣿⣽�  �  � ��  ⣽� ��  ⣬⣿� �� �⢰⣬�  �  ⢰⡜� �⣬� ��  � �� �� �⣬⡜⣬⢰
⣽⣿⣽⣿⣽⣿� ��  �  ⡜�  ⣬� �� �⢰�  �  � �⣽⣿⣽⣿⣽�  � �⢰⣽⣿⣬⣤�  �  �  � �⣬⢰�  ⣬⢰⢰� �� �� �� �⡜⣬� �� �⢰⣬
⣿⣽⣿⣽⣿⣽⡟� �⢰� ��  �  �  ⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽�  � �⣿⣽⣿⣽⣿⣤�  ⣬� �� �⡜� �⣬⣤⢰� �⢰⡜� �� �⣬⡜⡜⢰
⣽⣿⣽⣿⣽⣿⣽⢰�  � �� ��  � �⣿⣽⣽� �⣽⣽⣿⢻� �� �⣽⣽⣿⣽⣽� �⣿⣽⣽� �� �� �⢰⢰�  �  ⣤�  ⣬�  � �� �⣬� �� �⢰⣬
⣿⣽⣿⣽⣿⣽⣿⢰⡜⢰�  � ��  ⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⢻⣿⣽⣿⡜�  �  ⢰�  ⡜� �� �� �⢰� ��  ⣬� �� �⣬⡜⣬⢰
⣽⣿⣽⣿⣽⣿⣽�  ⣬� �⢰⣬� �⣬⢰⡟⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣤�  �  � ��  �  ⣤�  ⢰� �⣽� �� �� �⣬� �� �⢰� �
⣿⣽⣿⣽⣿⣽⣬� �⡟⣤�  � �⢰⣽⣿� �� ��  ⣬⡜⣽⣽⣿⣽⣿⣽⣿� �� �⢰⣬� �� �� �⣬⣽⣿⣽⣿⣽⣿⣤�  ⣬� �� �⣬� �⣬⢰
⣽⣿⣽⣿⣽⣿� �⣬⡜� ��  �  ⣤⣿⣽⣿⣽⣿⣽⣿� ��  � ��  ⢰�  � �⣤⣬⣿⣽⢰�  �  ⣽⣿⣽⣿⣽⣿⣽⡜� �� �� �⣬� �� �� �⣤
⣿⣽⣿⣽⣿� ��  ⡜� �⡜⡟� �⡟⣽⣿⣽⣿⣽⣿⣽⡜� ��  � �⡜� ��  ⢻� �⣽⣿� ��  � �⣿⣽⣿⣽⣿⣽⣿⢰⢰⡜� �� �⣬� �� ��  
⣽⣿⣽⣿⣽�  �  � �� �� �⣬�  � �⣽⣬⣿⣽⣿⢻�  � �⢰� �⣬� ��  �  ⣽� �⣿⡟�  ⡜⣿⣽⣿⣽⣿⣽⣿⣽⣬� �� �� �⣬� �� �⣬⢰
⣿⣽⣿⣽⣿� �� �� �⣬� �� �� �� �⡜⣬⣬⣿⣽�  ⢰�  � �⣿� ��  ⢰⣬�  �  ⣽⣽� �⣿⣽⣿⣽⣿⣽⣿⣽⣿⣤�  ⣬� �� �⣬� �� ��  
⣽⣿⣽⣿⢰�  ⣬⣬� �� �⣤�  ⣽� �⣽� �⣬�  ⢰⣿� �⡜� �⢰⣬⣽� ��  � �⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽� �� �� �� �⣬� �⣬⡜⣬
⣿⣽⣿⣽�  ⢰� �� �⣬⡜⣬� �⣿� �� �� ��  � �⣽⢰�  �  � �⣬� �⣬� �� �⣬⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣬�  ⣬� �� �⣬� �⣬⡜
⣽⣿⣽⣽� �� �� �⣬� �� �⢰�  ⣽⣬� �⣿⣽�  � �⢰⣤⡜⢰� �⣬⢻�  �  � �⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣽� �� �� �⣬� �⣬� �� �
⣿⣽⣿⢰�  ⡜⣬� �⣬� �⣬� �⣿⣽⣤⢰� �⢰⣬⣤⣬⡟� �� �� �⣬�  ⢰⢰⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽�  � �⣬� �⣬⣤⣬⡜
⣽⣿⣽⢰⢰⣬� �� �⡜� �� ��  ⣽⣿⣽⣬�  ⣿⣽� �� ��  ⡟⣿� �� �⢰⣿�  � �⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿⣽⣿� �⣬⣬� �⣬� �⢰⡟