######################****************************************
#<<#..'..#..'..#__#..+,,,*,,*,,,,+,,,,,,+,,*,,+,,,,*,,,,,,,,,*
#<.)..#..').#..%^.+..#,,,**+*,****,,,,,**,,+,,*,,,,**,,,,,,,,*
#..#####+#####+#__####,,,+,,*,*,***,,,*******+*,,,,,*****,,,,*
#..####..#...#[####§§#****,,+,*+*,***+*,,,**,,*,,,,,*,,,*,,,,*
#..#_.####..##.#≈≈≈..*,,**+****,,,*,*,**,,,*,,**,,,,*,∩,*,,,,*
#..#.....##+#..+§§≈§,+,,*,,,,,*,,,***,,***,*,,≈***+**,,,*,,,,*
#⌠⌠#_.∩...+..._#§§§§,*,,*,,,,,+,,,,,**,*,*,*,,≈,,*,****+*,,,,*
####.....##_.#+##§###**+***,,,*,,,,,*,,***,*,,≈,**+*,,,,**,,,*
*,,#_._._###'#.#.(c.###,+,*,,,***++**,**,,,*,,≈**,,,,,,,,**,,*
############.####'###.##*,*,,***,,***,,*+***,,≈*,,,,,,,,,,*,,*
#∩^.......+...'.....+.∩#*,*,,****,,***,,,*,≈,,**,,,,,,,,,,**,*
###++++####%..##########*,**+*,,*,,*,***,*,≈,,*,,,,,,,,,,,,*,*
*,,,,,,,*###.###,,,,,,,**,**,*,,,,,,,,,*,***,,*,,,,,,,,,,,,*,*
*,,,,,,,,#.#+#.#,,,,,,,,+,****,,,,,,,,,*,*,+,,**,,,,,,,,,,**,*
*,,*,,,,,#.....#+++******,*,,+,,,,,,****+*,**+**,,,,,,,,,,*,,*
*,,,,,,,,#.)().#,,,,,,,,*,*****,,,***,,,,*,*≈≈≈**,,,,,,,,**,,*
*,,,,,*,,#######,,,,,,,*+,*,,,*****,,,****,*≈≈≈≈**,,,,,,**,,,*
*,,,,,,,,**,,,,,,,,,,,≈****,,,,,,,,,***,,,,*≈≈≈≈≈********,,,,*
*,,*,,,,,**,,,,,,,,,,≈≈**,,,,,,,*****,,,,****≈≈≈≈*≈≈≈≈≈*,,,,,*
*,,,,,,,,***,,,,,,,≈≈≈***,,,,,,**,,,,,,,,*,,*+≈≈≈+≈≈,≈≈+,,,,,*
***++++*** ***,,≈≈≈≈*** *,,,,,**,,,,,,,,,*,,,**≈≈*≈≈≈≈≈*≈≈≈,,*
*∩,,,,,,∩****+******+****,,,,,*,,,,,,,,,,*,,,,******+*****≈≈≈*
*,,,,,,,,**∩∩********∩∩************,,,,,,*,,,,*≈≈≈≈≈≈≈≈≈≈**≈≈*
*∩,,,,,,∩***∩∩∩∩∩∩∩∩∩∩***≈≈≈≈≈≈≈≈,*,,,,,,*******≈≈≈≈≈≈≈≈≈≈≈≈≈*
********** ************ ***********,,,,,,+,,*,,+,,,≈≈≈≈≈≈≈*≈≈*
                        *,,,,,+,,,,,,,,,,*,,+,,*,,,,,,,,≈≈≈*≈*
                        **************************************