######################****************************************
#<.#..)..#..'..#__#..+,,,*,,*,,,,+,,,,,,+,,*,,+,,,,*,,,,,,,,,*
#..÷..#..').#..'..'..#,,,**+*,****,,,,,**,,+,,*,,,,**,,,,,,,,*
#..#####'#####'#__####,,,+,,*,*,***,,,*******+*,,,,,*****,,,,*
#..####..#[.)#[####§§####*,,+,*+*,***+*,,,**,,*,,,,,*,,,*,,,,*
#..#__####..##§#§≈§§§#..#*+****,,,*,*,**,,,*,,**,,,,*,∩,*,,,,*
#..#_____##'#..'§≈§§§§†.#,,,,,*,,,***,,***,*,,≈***+**,,,*,,,,*
#⌠⌠#_.∩...'(.._#≈≈§§.#..#,,,,,+,,,,,**,*,*,*,,≈,,*,****+*,,,,*
####_..__##_.#'##§#####§#**,,,*,,,,,*,,***,*,,≈,**+*,,,,**,,,*
*,,#_____###'#.#(...###P§$*,,,***++**,**,,,*,,≈**,,,,,,,,**,,*
############.####(###.###$#,,***,,***,,*+***,,≈*,,,,,,,,,,*,,*
#∩........'...'())..'.∩#*§#,,****,,***,,,*,≈,,**,,,,,,,,,,**,*
###++++####...##########*§#*+*,,*,,*,***,*,≈,,*,,,,,,,,,,,,*,*
*,,,,,,,*###.###,,,,,,,**,**,*,,,,,,,,,*,***,,*,,,,,,,,,,,,*,*
*,,,,,,,,#.#'#.#,,,,,,,,+,****,,,,,,,,,*,*,+,,**,,,,,,,,,,**,*
*,,*,,,,,#.....#+++******,*,,+,,,,,,****+*,**+**,,,,,,,,,,*,,*
*,,,,,,,,#.....#,,,,,,,,*,*****,,,***,,,,*,*≈≈≈**,,,,,,,,**,,*
*,,,,,*,,#######,,,,,,,*+,*,,,*****,,,****,*≈≈≈≈**,,,,,,**,,,*
*,,,,,,,,**,,,,,,,,,,,≈****,,,,,,,,,***,,,,*≈≈≈≈≈********,,,,*
*,,*,,,,,**,,,,,,,,,,≈≈**,,,,,,,*****,,,,****≈≈≈≈*≈≈≈≈≈*,,,,,*
*,,,,,,,,***,,,,,,,≈≈≈***,,,,,,**,,,,,,,,*,,*+≈≈≈+≈≈,≈≈',,,,,*
***++++*** ***,,≈≈≈≈*** *,,,,,**,,,,,,,,,*,,,**≈≈*≈≈≈≈≈*≈≈≈,,*
*∩,,,,,,∩****+******+****,,,,,*,,,,,,,,,,*,,,,******'*****≈≈≈*
*,,,,,,,,**∩∩********∩∩************,,,,,,*,,,,*≈≈≈≈≈≈≈≈≈≈**≈≈*
*∩,,,,,,∩***∩∩∩∩∩∩∩∩∩∩***≈≈≈≈≈≈≈≈,*,,,,,,*******≈≈≈≈≈≈≈≈≈≈≈≈≈*
********** ************ ***********,,,,,,+,,*,,+,,,≈≈≈≈≈≈≈*≈≈*
                        *,,,,,+,,,,,,,,,,*,,+,,*,,,,,,,,≈≈≈*≈*
                        **************************************