##########################************************************
#<.#..'..#..'..#__#..'[..#,,*,,,,+,,,,,,+,,*,,+,,,,*,,,,,,,,,*
#.ss.)#..'.)#..'s.'..#...#*+*,****,,,,,**,,+,,*,,,,**,,,,,,,,*
#..#####+#####+#__####...'..#,*,***,,,*******+*,,,,,*****,,,,*
#..####..#...#[####§§#####..+,*+*,***+*,,,**,,*,,,,,*,,,*,,,,*
#..#__####..##.#§§§§§#..#*+##**,,,*,*,**,,,*,,**,,,,*,∩,*,,,,*
#..#_____##+#_.+≈§§.§+..#,,,,,*,,,***,,***,*,,≈***+**,,,*,,,,*
#⌠⌠#_.∩...+..._#§§≈..#..#,,,,,+,,,,,**,*,*,*,,≈,,*,****+*,,,,*
####_..__##_.#+##+#####+###,,,*,,,,,*,,***,*,,≈,**+*,,,,**,,,*
*,,#_____###+#.#).(=###.+.#,,,***++**,**,,,*,,≈**,,,,,,,,**,,*
############.####+###(###.#,,***,,***,,*+***,,≈*,,,,,,,,,,*,,*
#∩^.......+...+.....+.∩##§#,,****,,***,,,*,≈,,**,,,,,,,,,,**,*
###++++####)..###########.#*+*,,*,,*,***,*,≈,,*,,,,,,,,,,,,*,*
*,,,,,,,*###.###.....§§##.#*,*,,,,,,,,,*,***,,*,,,,,,,,,,,,*,*
*,,,,,,,,#.#+#.#..%.%§§§+§#***,,,,,,,,,*,*,+,,**,,,,,,,,,,**,*
*,,*,,,,,#.....#+++######§#,,+,,,,,,****+*,**+**,,,,,,,,,,*,,*
*,,,,,,,,#.....#........#§#****,,,***,,,,*,*≈≈≈**,,,,,,,,**,,*
*,,,,,*,,#######.......#+§#,,,*****,,,****,*≈≈≈≈**,,,,,,**,,,*
*,,,,,,,,*#(}.(.......≈####,,,,,,,,,***,,,,*≈≈≈≈≈********,,,,*
*,,*,,,,,*#}.........≈≈#*,,,,,,,*****,,,,****≈≈≈≈*≈≈≈≈≈*,,,,,*
*,,,,,,,,*##.......≈≈≈##*,,,,,,**,,,,,,,,*,,*+≈≈≈'≈≈,≈≈',,,,,*
***++++*** ###..≈≈≈≈### *,,,,,**,,,,,,,,,*,,,**≈≈*≈≈≈≈≈*≈≈≈,,*
*∩,,,,,,∩*###+######+###*,,,,,*,,,,,,,,,,*,,,,******'*****≈≈≈*
*,,,,,,,,*#∩∩########∩∩#***********,,,,,,*,,,,*≈≈≈≈≈≈≈≈≈≈**≈≈*
*∩,,,,,,∩*##∩∩∩∩∩∩∩∩∩∩##*≈≈≈≈≈≈≈≈,*,,,,,,*******≈≈≈≈≈≈≈≈≈≈≈≈≈*
********** ############ ***********,,,,,,+,,*,,+,,,≈≈≈≈≈≈≈*≈≈*
                        *,,,,,+,,,,,,,,,,*,,+,,*,,,,,,,,≈≈≈*≈*
                        **************************************