⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡫⡫⡪⡪⡪⡫⠻⡫⡪⡪⡨⡈⡀⡈⡀⡀⡀⡀⡀⡀⡀⡈⡈⡈⡨⡫⡈⡈⡀⡈⡈⡪⡫⡀⡀⡈⡀⡈⡀⡀⡈⡈⡈⡈
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡫⡫⡪⡫⠻⠻⠻⡪⡪⡪⡨⡪⡪⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡪⡈⡈⡈⡪⡫⡪⡀⡈⡨⡈⡀⡈⡀⡀⡀⡈
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡪⡫⡫⡫⡫⡫⡪⡪⡪⡪⡪⡪⡨⡨⡨⡈⡈⡨⡈⡈⡈⡈⡨⡈⡈⡨⡨⡨⡨⡈⡨⡫⡪⡈⡈⡈⡈⡀⡀⡀⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡪⡫⡫⡫⡪⡪⡪⡪⡪⡪⡨⡪⡪⡨⡪⡈⡨⡈⡈⡨⡨⡨⡨⡨⡨⡨⡨⡨⡈⡈⡪⡪⡈⡈⡈⡈⡈⡀⡀⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡪⡫⡪⡪⡪⡪⡪⡪⡪⡪⡪⡪⡪⡪⡪⡨⡨⡨⡨⡪⡪⡨⡨⡨⡨⡨⡪⡪⡨⡨⡨⠻⡈⡈⡈⡈⡈⡀⡀⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡫⠻⡪⡪⡪⡫⡪⡪⡪⡪⡪⡪⡫⠻⡪⡪⡪⡪⡪⡪⡪⡪⡪⡪⡨⡪⡪⡨⡨⡪⡨⡫⡪⡨⡈⡈⡈⡀⡀⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡫⠻⡪⡪⡫⠻⡫⡫⡫⡫⡫⠻⠻⡫⡪⡈⡪⡫⡫⠻⠻⡾⠻⡪⡨⡪⡪⡪⡪⡪⡪⠻⡫⡨⡈⡨⡈⡀⡀⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡫⠻⡫⡫⠻⠻⡫⠻⠻⠻⠻⠻⡫⡫⡪⡨⠻⡪⡪⡫⠻⡫⡪⡫⡪⡫⡪⡫⡪⡪⡫⠻⡫⡨⡨⡨⡨⡀⡀⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡨⡫⠻⡫⡫⠻⡪⡪⠻⠻⠻⡪⡈⡈⡈⡈⡈⡈⡈⡈⡀⡈⡀⡈⡪⡪⡪⡈⡨⡈⡨⠻⠻⡪⡨⡪⡨⡨⡈⡀⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡫⠻⠻⠻⠻⡿⡪⡪⠻⡨⡨⡈⡀⡀⡀⡈⡈⡈⡈⡈⡈⡈⡈⡨⡪⡨⡈⡈⡈⡈⡪⡫⡪⡨⡪⡪⡪⡀⡈⡈⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⠻⠻⠻⠻⠻⡨⡈⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡨⡨⡈⡨⡨⡈⡪⡪⡫⡪⡪⡪⡪⡫⡈⡀⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⠻⠻⡾⠻⡾⡾⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡪⡀⡀⡀⡀⡨⡪⡪⡪⡪⡪⡪⡫⡨⡀⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡪⠻⡾⡾⡾⡾⠻⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡈⡨⡀⡀⡀⡀⡨⡪⡪⡪⡪⡪⡪⡫⡀⡈⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡪⠻⡪⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡫⡫⡫⡫⠻⡫⠻⡪⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡨⡨⡈⡨⡀⡀⡀⡀⡈⡪⡫⡪⡫⡪⡫⡫⡈⡈⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡪⠻⡈⡈⡫⡿⣿⣿⡿⠻⡨⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡫⡫⡫⡫⡪⡪⡫⡈⡀⡀⡨⠻⡿⡿⡿⠻⡪⡈⡈⡈⡀⡈⡨⡀⡀⡀⡀⡈⡪⡫⡪⡫⡪⡫⡫⡈⡀⡈⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡨⡨⡪⠻⡫⡨⡈⡀⡀⡀⡀⡪⡿⣿⣿⣿⡿⠻⡨⡈⡀⡀⡀⡈⡫⡪⡫⡫⡨⡪⡪⡀⠻⡿⣿⣿⡿⡿⡿⡿⡿⠻⡪⡈⡀⡨⡈⡀⡀⡀⡀⡈⡨⡪⡫⡈⡪⡫⡫⡈⡀⡈⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡨⡪⡪⡪⡾⡫⡈⡈⡀⡀⡀⡀⡀⡀⡀⡪⡿⡿⡿⡿⡿⡾⠻⡪⡪⡪⡪⡫⡪⠻⡾⡿⡿⡿⡿⡿⡿⡿⡿⡾⡾⡿⡿⡾⠻⡪⡪⡈⡈⡈⡀⡀⡈⡈⡈⡈⡈⡈⡨⡪⡀⡈⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡨⡪⠻⡫⡿⡫⡨⡈⡀⡀⡀⡀⡀⡀⡀⡨⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡾⠻⡾⡿⡿⡿⡿⡿⡿⡿⡿⡿⡾⠻⠻⠻⡾⡾⡿⡿⡾⠻⠻⡈⡈⡀⡀⡀⡀⡀⡀⡀⡈⡪⡀⡀⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡫⠻⠻⡨⡪⡈⡀⡀⡀⡀⡀⡀⡀⡀⡾⡿⡿⡾⠻⠻⠻⡾⡿⣿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡪⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⠻⡿⡨⡨⡨⡈⡈⡀⡀⡀⡀⡀⡀⡀⡈⡿⡿⡿⡾⠻⡾⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡾⡾⠻⠻⡾⡾⡿⡿⡿⡿⡿⡿⡿⡨⡨⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡨⡿⡪⡀⡀⡀⡨⡈⡈⡈⡀⡀⡀⡀⡀⡀⡈⡿⣿⣿⣿⣿⡿⡿⡿⡿⡿⡿⡿⣿⣿⣿⣿⣿⡿⡿⡿⡿⡾⡾⠻⠻⡾⡾⡾⡾⡾⡿⡿⡿⡿⡾⡪⡨⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀
⡀⡀⡀⡀⡀⡀⠻⠻⡀⡀⡀⡀⡀⡀⡨⡨⡈⡈⡀⡀⡈⡀⡀⡀⡨⡿⡿⡿⡿⡿⡿⡿⡿⡿⣿⣿⣿⣿⣿⣿⡿⡿⡿⡿⡿⡾⡾⠻⡾⡾⡾⡾⡾⡾⠻⡪⡈⠻⠻⡫⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀
⡀⡀⡀⡀⡨⡿⡪⡀⡀⡀⡀⡀⡀⡀⡀⡈⡨⡈⡀⡀⡀⡀⡈⡀⡀⡀⡪⡾⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⡿⡿⡿⡾⡾⡾⡾⡾⡾⡾⠻⡈⡈⡀⡀⡀⡈⡪⠻⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀
⡀⡀⡀⠻⡾⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡨⡈⡈⡀⡀⡀⡈⡀⡈⡾⡿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⡿⡿⡿⡿⡿⡿⡿⡾⡾⡾⡫⡈⡈⡈⡈⡈⡈⡈⡈⡪⡫⡫⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀
⡀⡨⡾⡾⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡨⡨⡈⡈⡈⡀⡈⡿⡿⣿⣿⣿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡾⡾⡾⠻⡪⡨⡈⡈⡈⡈⡈⡈⡈⡪⡫⡨⡪⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀
⡪⡈⠻⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡨⡨⡨⡨⠻⡿⡿⣿⣿⣿⣿⡿⡿⡿⡿⡿⡾⠻⠻⠻⡾⡾⡾⡾⠻⡪⡪⡪⡨⡈⡈⡈⡀⡀⡀⡀⡀⡨⡀⡀⡪⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀
⡿⠻⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡪⡾⡿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⡿⡾⠻⠻⠻⠻⠻⠻⡾⠻⡫⡪⡨⡈⡪⡨⡈⡈⡀⡀⡈⡈⡀⡀⡀⡀⡨⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀
⡿⡿⡿⡪⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⡿⡾⠻⠻⠻⠻⠻⡾⡾⡾⡪⡪⡪⡨⡈⡈⡨⡈⡨⠻⡈⡀⡀⡀⡀⡈⡨⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀
⣿⣿⡿⡾⠻⡪⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡨⡿⣿⡿⡿⡿⡿⣿⣿⣿⣿⣿⣿⣿⡿⡿⡿⡾⠻⠻⠻⠻⡾⡿⡿⠻⡪⡪⡨⡨⡨⡈⡈⡀⡀⠻⡨⡀⡀⡀⡀⡈⡨⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀
⣿⡿⣿⡿⡿⠻⠻⡪⡈⡀⡀⡀⡀⡀⡀⡀⡾⣿⣿⡿⡿⡿⡿⡿⣿⣿⣿⣿⣿⡿⡿⡿⡿⡿⡾⡾⠻⠻⡾⡿⡿⡾⡪⡪⡨⡈⡨⡨⡈⡀⡀⡀⠻⡪⡀⡀⡀⡀⡈⡨⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀
⡿⡿⣿⡿⡿⡿⠻⠻⠻⡨⡈⡀⡀⡀⡈⣿⣿⣿⣿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡾⡾⡾⡿⡿⡿⠻⡪⡈⡈⡨⡪⡨⡈⡀⡈⡀⡪⠻⡀⡀⡀⡀⡨⡨⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀
⣿⡿⣿⡿⡿⡿⡿⡾⡪⡨⡈⡈⡈⡨⡿⣿⣿⣿⣿⣿⡿⡿⡿⡿⡿⡿⡿⡿⣿⣿⣿⡿⡿⡿⡿⡿⡿⡿⡿⡿⠻⠻⡫⡨⡈⡨⡈⡀⡀⡀⡈⡈⡨⠻⡀⡀⡀⡀⡪⡨⡨⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀
⡿⡿⣿⡿⡿⡿⡿⡿⡾⡫⡪⡈⡈⠻⣿⣿⣿⣿⣿⣿⡿⡿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⡿⡾⡾⠻⡨⡈⡀⡀⡀⡀⡀⡀⡀⡈⠻⡨⡀⡀⡀⡪⡨⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀
⠻⡿⡿⡿⡿⡿⡾⡿⠻⡫⡪⡪⡪⠻⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⡿⡾⡪⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡪⡀⡀⡈⡪⡨⡈⡀⡀⡀⡀⡀⡈⡀⡀⡀⡀⡀⡀⡀
⡨⠻⡿⡿⡿⡿⡾⡿⠻⡪⡪⡪⡪⠻⣿⣿⡿⡿⡿⡿⡿⡿⣿⣿⣿⡿⡿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⡫⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡪⡈⡈⡀⡀⡀⡀⡀⡈⡀⡀⡀⡀⡀⡀⡀
⡨⡪⠻⡿⣿⡿⡾⡿⡿⠻⡫⡪⡪⠻⣿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⣿⣿⣿⣿⣿⣿⣿⡿⡾⡪⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡈⡪⡈⡈⡀⡀⡀⡀⡀⡈⡀⡀⡀⡀⡀⡀⡀
⡨⡨⡪⠻⡿⣿⡿⡿⡿⡿⠻⡪⡪⠻⣿⡿⡿⡾⡾⡾⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⣿⣿⣿⣿⣿⡿⠻⡪⡨⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡈⡪⡈⡈⡈⡈⡀⡀⡀⡈⡀⡀⡀⡀⡀⡀⡀
⡈⡨⡪⡫⠻⡿⡿⡿⡿⡿⡫⡨⡨⠻⣿⣿⡿⡿⡿⡾⡾⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⣿⣿⡿⡪⡪⡪⡨⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡈⡈⡈⡈⡈⡈⡀⡈⡈⡀⡀⡀⡀⡀⡀⡀
⡨⡪⡨⡨⡪⡾⡿⡿⡿⠻⡨⡨⡨⡫⡿⣿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⠻⡪⡪⡪⡨⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀
⡨⡪⡨⡨⡫⠻⡿⡿⠻⡨⡨⡈⡈⡪⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡫⡪⡪⡨⡨⡨⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀
⡨⡪⡨⡪⡪⡾⡿⠻⡪⡨⡨⡨⡈⡨⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡪⡪⡪⡨⡨⡨⡨⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀
⡨⡪⡪⠻⡿⡿⡾⡪⡨⡨⡨⡨⡨⡨⠻⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡪⡪⡨⡨⡨⡨⡨⡨⡨⡨⡨⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡨⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀
⡪⠻⠻⡿⡿⡿⡫⡨⡨⡨⡨⡨⡨⡨⡨⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡾⡪⡪⡨⡨⡨⡨⡨⡈⡨⡨⡨⡨⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀
⡾⡾⡾⡿⡿⡪⡨⡨⡨⡪⡪⡪⡨⡨⡨⡪⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡪⡪⡨⡨⡨⡨⡨⡨⡨⡨⡨⡨⡈⡈⡈⡈⡈⡀⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀
⡾⡾⡿⡾⡪⡨⡨⡨⡨⡨⡨⡪⡪⡪⡨⡨⠻⡿⡿⣿⣿⣿⣿⡿⡿⡿⡿⡿⡫⡪⡨⡨⡨⡨⡨⡪⡪⡪⡨⡨⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀
⡿⡿⡾⡪⡨⡨⡨⡈⡈⡈⡈⡈⡨⡪⡪⡪⡨⠻⡿⣿⣿⣿⣿⡿⡿⡿⡿⠻⡪⡨⡨⡨⡨⡪⡪⡪⡨⡨⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡈⡀⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡈⡨⡀⡀⡀⡀⡀⡀⡀⡀
⡾⡾⡪⡨⡨⡨⡈⡈⡈⡈⡈⡈⡈⡈⡨⡪⡫⡪⠻⡿⡿⡿⡿⡿⡿⡿⡿⡫⡨⡨⡪⡪⡪⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀
⡀⡪⡨⡨⡨⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡨⡨⡪⡫⠻⡿⡿⡿⣿⡿⡿⡿⠻⡪⡪⡫⡪⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡈⡀⡀⡀⡀⡀⡀⡀
⡪⡪⡨⡨⡨⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡨⡨⡪⡪⡫⡾⣿⡿⣿⡿⡿⡿⠻⠻⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡈⡀⡀⡀⡀⡀⡀⡀
⡪⡨⡨⡨⡨⡈⡈⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡨⡨⡪⡪⡪⡫⠻⡿⣿⣿⣿⡿⡪⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡈⡀⡀⡀⡀⡀⡀
⡪⡨⡨⡨⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡨⡨⡪⡪⡪⡪⡪⡪⡫⠻⡾⡿⡿⡪⡨⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡈⡀⡀⡀⡀⡀⡀
⡪⡨⡨⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡨⡨⡪⡪⡪⡪⡪⡪⡪⡪⡫⠻⡾⠻⡪⡨⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡀⡀⡀⡀⡈⡈⡈⡀⡀⡀⡀⡀
⡨⡨⡨⡨⡈⡈⡈⡨⡈⡨⡈⡈⡈⡨⡨⡨⡨⡪⡪⡪⡪⡪⡪⡪⡪⡪⠻⡾⡫⡪⡨⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡀⡀⡀⡀⡈⡪⡀⡀⡀⡀⡀⡀
⡨⡨⡨⡨⡈⡈⡈⡈⡨⡨⡈⡈⡈⡨⡨⡨⡨⡨⡪⡪⡪⡪⡪⡪⡪⡪⡫⠻⡪⡪⡨⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡀⡀⡀⡀⡈⡈⡀⡀⡀⡀⡀⡀
⡨⡨⡨⡨⡈⡈⡈⡈⡈⡨⡈⡈⡈⡨⡨⡨⡨⡨⡪⡪⡪⡪⡪⡨⡪⡪⡪⡫⡪⡨⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡈⡈⡈⡈⡀⡀⡀⡈⡈⡀⡀⡀⡀⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡫⡫⡪⡫⠻⠻⠻⡪⡪⡪⡨⡪⡪⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡪⡈⡈⡈⡪⡫⡪⡀⡈⡨⡈⡀⡈⡀⡀⡀⡈
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡪⡫⡫⡫⡫⡫⡪⡪⡪⡪⡪⡪⡨⡨⡨⡈⡈⡨⡈⡈⡈⡈⡨⡈⡈⡨⡨⡨⡨⡈⡨⡫⡪⡈⡈⡈⡈⡀⡀⡀⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡪⡫⡫⡫⡪⡪⡪⡪⡪⡪⡨⡪⡪⡨⡪⡈⡨⡈⡈⡨⡨⡨⡨⡨⡨⡨⡨⡨⡈⡈⡪⡪⡈⡈⡈⡈⡈⡀⡀⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡪⡫⡪⡪⡪⡪⡪⡪⡪⡪⡪⡪⡪⡪⡪⡨⡨⡨⡨⡪⡪⡨⡨⡨⡨⡨⡪⡪⡨⡨⡨⠻⡈⡈⡈⡈⡈⡀⡀⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡫⠻⡪⡪⡪⡫⡪⡪⡪⡪⡪⡪⡫⠻⡪⡪⡪⡪⡪⡪⡪⡪⡪⡪⡨⡪⡪⡨⡨⡪⡨⡫⡪⡨⡈⡈⡈⡀⡀⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡫⠻⡪⡪⡫⠻⡫⡫⡫⡫⡫⠻⠻⡫⡪⡈⡪⡫⡫⠻⠻⡾⠻⡪⡨⡪⡪⡪⡪⡪⡪⠻⡫⡨⡈⡨⡈⡀⡀⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡫⠻⡫⡫⠻⠻⡫⠻⠻⠻⠻⠻⡫⡫⡪⡨⠻⡪⡪⡫⠻⡫⡪⡫⡪⡫⡪⡫⡪⡪⡫⠻⡫⡨⡨⡨⡨⡀⡀⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡨⡫⠻⡫⡫⠻⡪⡪⠻⠻⠻⡪⡈⡈⡈⡈⡈⡈⡈⡈⡀⡈⡀⡈⡪⡪⡪⡈⡨⡈⡨⠻⠻⡪⡨⡪⡨⡨⡈⡀⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡫⠻⠻⠻⠻⡿⡪⡪⠻⡨⡨⡈⡀⡀⡀⡈⡈⡈⡈⡈⡈⡈⡈⡨⡪⡨⡈⡈⡈⡈⡪⡫⡪⡨⡪⡪⡪⡀⡈⡈⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⠻⠻⠻⠻⠻⡨⡈⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡨⡨⡈⡨⡨⡈⡪⡪⡫⡪⡪⡪⡪⡫⡈⡀⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⠻⠻⡾⠻⡾⡾⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡪⡀⡀⡀⡀⡨⡪⡪⡪⡪⡪⡪⡫⡨⡀⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡪⠻⡾⡾⡾⡾⠻⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡈⡨⡀⡀⡀⡀⡨⡪⡪⡪⡪⡪⡪⡫⡀⡈⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡪⠻⡪⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡫⡫⡫⡫⠻⡫⠻⡪⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡨⡨⡈⡨⡀⡀⡀⡀⡈⡪⡫⡪⡫⡪⡫⡫⡈⡈⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡪⠻⡈⡈⡫⡿⣿⣿⡿⠻⡨⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡫⡫⡫⡫⡪⡪⡫⡈⡀⡀⡨⠻⡿⡿⡿⠻⡪⡈⡈⡈⡀⡈⡨⡀⡀⡀⡀⡈⡪⡫⡪⡫⡪⡫⡫⡈⡀⡈⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡨⡨⡪⠻⡫⡨⡈⡀⡀⡀⡀⡪⡿⣿⣿⣿⡿⠻⡨⡈⡀⡀⡀⡈⡫⡪⡫⡫⡨⡪⡪⡀⠻⡿⣿⣿⡿⡿⡿⡿⡿⠻⡪⡈⡀⡨⡈⡀⡀⡀⡀⡈⡨⡪⡫⡈⡪⡫⡫⡈⡀⡈⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡨⡪⡪⡪⡾⡫⡈⡈⡀⡀⡀⡀⡀⡀⡀⡪⡿⡿⡿⡿⡿⡾⠻⡪⡪⡪⡪⡫⡪⠻⡾⡿⡿⡿⡿⡿⡿⡿⡿⡾⡾⡿⡿⡾⠻⡪⡪⡈⡈⡈⡀⡀⡈⡈⡈⡈⡈⡈⡨⡪⡀⡈⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡨⡪⠻⡫⡿⡫⡨⡈⡀⡀⡀⡀⡀⡀⡀⡨⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡾⠻⡾⡿⡿⡿⡿⡿⡿⡿⡿⡿⡾⠻⠻⠻⡾⡾⡿⡿⡾⠻⠻⡈⡈⡀⡀⡀⡀⡀⡀⡀⡈⡪⡀⡀⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡫⠻⠻⡨⡪⡈⡀⡀⡀⡀⡀⡀⡀⡀⡾⡿⡿⡾⠻⠻⠻⡾⡿⣿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡪⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⠻⡿⡨⡨⡨⡈⡈⡀⡀⡀⡀⡀⡀⡀⡈⡿⡿⡿⡾⠻⡾⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡾⡾⠻⠻⡾⡾⡿⡿⡿⡿⡿⡿⡿⡨⡨⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡨⡿⡪⡀⡀⡀⡨⡈⡈⡈⡀⡀⡀⡀⡀⡀⡈⡿⣿⣿⣿⣿⡿⡿⡿⡿⡿⡿⡿⣿⣿⣿⣿⣿⡿⡿⡿⡿⡾⡾⠻⠻⡾⡾⡾⡾⡾⡿⡿⡿⡿⡾⡪⡨⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀
⡀⡀⡀⡀⡀⡀⠻⠻⡀⡀⡀⡀⡀⡀⡨⡨⡈⡈⡀⡀⡈⡀⡀⡀⡨⡿⡿⡿⡿⡿⡿⡿⡿⡿⣿⣿⣿⣿⣿⣿⡿⡿⡿⡿⡿⡾⡾⠻⡾⡾⡾⡾⡾⡾⠻⡪⡈⠻⠻⡫⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀
⡀⡀⡀⡀⡨⡿⡪⡀⡀⡀⡀⡀⡀⡀⡀⡈⡨⡈⡀⡀⡀⡀⡈⡀⡀⡀⡪⡾⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⡿⡿⡿⡾⡾⡾⡾⡾⡾⡾⠻⡈⡈⡀⡀⡀⡈⡪⠻⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀
⡀⡀⡀⠻⡾⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡨⡈⡈⡀⡀⡀⡈⡀⡈⡾⡿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⡿⡿⡿⡿⡿⡿⡿⡾⡾⡾⡫⡈⡈⡈⡈⡈⡈⡈⡈⡪⡫⡫⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀
⡀⡨⡾⡾⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡨⡨⡈⡈⡈⡀⡈⡿⡿⣿⣿⣿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡾⡾⡾⠻⡪⡨⡈⡈⡈⡈⡈⡈⡈⡪⡫⡨⡪⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀
⡪⡈⠻⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡨⡨⡨⡨⠻⡿⡿⣿⣿⣿⣿⡿⡿⡿⡿⡿⡾⠻⠻⠻⡾⡾⡾⡾⠻⡪⡪⡪⡨⡈⡈⡈⡀⡀⡀⡀⡀⡨⡀⡀⡪⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀
⡿⠻⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡪⡾⡿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⡿⡾⠻⠻⠻⠻⠻⠻⡾⠻⡫⡪⡨⡈⡪⡨⡈⡈⡀⡀⡈⡈⡀⡀⡀⡀⡨⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀
⡿⡿⡿⡪⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⡿⡾⠻⠻⠻⠻⠻⡾⡾⡾⡪⡪⡪⡨⡈⡈⡨⡈⡨⠻⡈⡀⡀⡀⡀⡈⡨⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀
⣿⣿⡿⡾⠻⡪⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡨⡿⣿⡿⡿⡿⡿⣿⣿⣿⣿⣿⣿⣿⡿⡿⡿⡾⠻⠻⠻⠻⡾⡿⡿⠻⡪⡪⡨⡨⡨⡈⡈⡀⡀⠻⡨⡀⡀⡀⡀⡈⡨⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀
⣿⡿⣿⡿⡿⠻⠻⡪⡈⡀⡀⡀⡀⡀⡀⡀⡾⣿⣿⡿⡿⡿⡿⡿⣿⣿⣿⣿⣿⡿⡿⡿⡿⡿⡾⡾⠻⠻⡾⡿⡿⡾⡪⡪⡨⡈⡨⡨⡈⡀⡀⡀⠻⡪⡀⡀⡀⡀⡈⡨⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀
⡿⡿⣿⡿⡿⡿⠻⠻⠻⡨⡈⡀⡀⡀⡈⣿⣿⣿⣿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡾⡾⡾⡿⡿⡿⠻⡪⡈⡈⡨⡪⡨⡈⡀⡈⡀⡪⠻⡀⡀⡀⡀⡨⡨⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀
⣿⡿⣿⡿⡿⡿⡿⡾⡪⡨⡈⡈⡈⡨⡿⣿⣿⣿⣿⣿⡿⡿⡿⡿⡿⡿⡿⡿⣿⣿⣿⡿⡿⡿⡿⡿⡿⡿⡿⡿⠻⠻⡫⡨⡈⡨⡈⡀⡀⡀⡈⡈⡨⠻⡀⡀⡀⡀⡪⡨⡨⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀
⡿⡿⣿⡿⡿⡿⡿⡿⡾⡫⡪⡈⡈⠻⣿⣿⣿⣿⣿⣿⡿⡿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⡿⡾⡾⠻⡨⡈⡀⡀⡀⡀⡀⡀⡀⡈⠻⡨⡀⡀⡀⡪⡨⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀
⠻⡿⡿⡿⡿⡿⡾⡿⠻⡫⡪⡪⡪⠻⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⡿⡾⡪⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡪⡀⡀⡈⡪⡨⡈⡀⡀⡀⡀⡀⡈⡀⡀⡀⡀⡀⡀⡀
⡨⠻⡿⡿⡿⡿⡾⡿⠻⡪⡪⡪⡪⠻⣿⣿⡿⡿⡿⡿⡿⡿⣿⣿⣿⡿⡿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⡫⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡪⡈⡈⡀⡀⡀⡀⡀⡈⡀⡀⡀⡀⡀⡀⡀
⡨⡪⠻⡿⣿⡿⡾⡿⡿⠻⡫⡪⡪⠻⣿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⣿⣿⣿⣿⣿⣿⣿⡿⡾⡪⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡈⡪⡈⡈⡀⡀⡀⡀⡀⡈⡀⡀⡀⡀⡀⡀⡀
⡨⡨⡪⠻⡿⣿⡿⡿⡿⡿⠻⡪⡪⠻⣿⡿⡿⡾⡾⡾⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⣿⣿⣿⣿⣿⡿⠻⡪⡨⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡈⡪⡈⡈⡈⡈⡀⡀⡀⡈⡀⡀⡀⡀⡀⡀⡀
⡈⡨⡪⡫⠻⡿⡿⡿⡿⡿⡫⡨⡨⠻⣿⣿⡿⡿⡿⡾⡾⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⣿⣿⡿⡪⡪⡪⡨⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡈⡈⡈⡈⡈⡈⡀⡈⡈⡀⡀⡀⡀⡀⡀⡀
⡨⡪⡨⡨⡪⡾⡿⡿⡿⠻⡨⡨⡨⡫⡿⣿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⠻⡪⡪⡪⡨⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀
⡨⡪⡨⡨⡫⠻⡿⡿⠻⡨⡨⡈⡈⡪⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡫⡪⡪⡨⡨⡨⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀
⡨⡪⡨⡪⡪⡾⡿⠻⡪⡨⡨⡨⡈⡨⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡪⡪⡪⡨⡨⡨⡨⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀
⡨⡪⡪⠻⡿⡿⡾⡪⡨⡨⡨⡨⡨⡨⠻⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡪⡪⡨⡨⡨⡨⡨⡨⡨⡨⡨⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡨⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀
⡪⠻⠻⡿⡿⡿⡫⡨⡨⡨⡨⡨⡨⡨⡨⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡾⡪⡪⡨⡨⡨⡨⡨⡈⡨⡨⡨⡨⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀
⡾⡾⡾⡿⡿⡪⡨⡨⡨⡪⡪⡪⡨⡨⡨⡪⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡪⡪⡨⡨⡨⡨⡨⡨⡨⡨⡨⡨⡈⡈⡈⡈⡈⡀⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀
⡾⡾⡿⡾⡪⡨⡨⡨⡨⡨⡨⡪⡪⡪⡨⡨⠻⡿⡿⣿⣿⣿⣿⡿⡿⡿⡿⡿⡫⡪⡨⡨⡨⡨⡨⡪⡪⡪⡨⡨⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀
⡿⡿⡾⡪⡨⡨⡨⡈⡈⡈⡈⡈⡨⡪⡪⡪⡨⠻⡿⣿⣿⣿⣿⡿⡿⡿⡿⠻⡪⡨⡨⡨⡨⡪⡪⡪⡨⡨⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡈⡀⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡈⡨⡀⡀⡀⡀⡀⡀⡀⡀
⡾⡾⡪⡨⡨⡨⡈⡈⡈⡈⡈⡈⡈⡈⡨⡪⡫⡪⠻⡿⡿⡿⡿⡿⡿⡿⡿⡫⡨⡨⡪⡪⡪⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀
⡀⡪⡨⡨⡨⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡨⡨⡪⡫⠻⡿⡿⡿⣿⡿⡿⡿⠻⡪⡪⡫⡪⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡈⡀⡀⡀⡀⡀⡀⡀
⡪⡪⡨⡨⡨⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡨⡨⡪⡪⡫⡾⣿⡿⣿⡿⡿⡿⠻⠻⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡈⡀⡀⡀⡀⡀⡀⡀
⡪⡨⡨⡨⡨⡈⡈⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡨⡨⡪⡪⡪⡫⠻⡿⣿⣿⣿⡿⡪⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡈⡀⡀⡀⡀⡀⡀
⡪⡨⡨⡨⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡨⡨⡪⡪⡪⡪⡪⡪⡫⠻⡾⡿⡿⡪⡨⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡈⡀⡀⡀⡀⡀⡀
⡪⡨⡨⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡨⡨⡪⡪⡪⡪⡪⡪⡪⡪⡫⠻⡾⠻⡪⡨⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡀⡀⡀⡀⡈⡈⡈⡀⡀⡀⡀⡀
⡨⡨⡨⡨⡈⡈⡈⡨⡈⡨⡈⡈⡈⡨⡨⡨⡨⡪⡪⡪⡪⡪⡪⡪⡪⡪⠻⡾⡫⡪⡨⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡀⡀⡀⡀⡈⡪⡀⡀⡀⡀⡀⡀
⡨⡨⡨⡨⡈⡈⡈⡈⡨⡨⡈⡈⡈⡨⡨⡨⡨⡨⡪⡪⡪⡪⡪⡪⡪⡪⡫⠻⡪⡪⡨⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡀⡀⡀⡀⡈⡈⡀⡀⡀⡀⡀⡀
⡨⡨⡨⡨⡈⡈⡈⡈⡈⡨⡈⡈⡈⡨⡨⡨⡨⡨⡪⡪⡪⡪⡪⡨⡪⡪⡪⡫⡪⡨⡨⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡈⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡈⡈⡈⡈⡈⡀⡀⡀⡈⡈⡀⡀⡀⡀⡀⡀
