################**********************************************
#<.#..)..#..'..#__*,,+,,,*,,*,,,,+,,,,,,+,,*,,+,,,,*,,,,,,,,,*
#..'..#..').#..+,,+,,*,,,**+*,****,,,,,**,,+,,*,,,,**,,,,,,,,*
#..#####'#####'#__****,,,+,,*,*,***,,,*******+*,,,,,*****,,,,*
#..####..#...#.#***,,*****,,+,*+*,***+*,,,**,,*,,,,,*,,,*,,,,*
#..#__####..##.#≈≈≈,,*,,**+****,,,*,*,**,,,*,,**,,,,*,∩,*,,,,*
#..#_____##'#_.+≈≈≈,,+,,*,,,,,*,,,***,,***,*,,≈***+**,,,*,,,,*
#⌠⌠#_.∩...'.(._#≈≈≈,,*,,*,,,,,+,,,,,**,*,*,*,,≈,,*,****+*,,,,*
####_..__##_(#+#*+*****+***,,,*,,,,,*,,***,*,,≈,**+*,,,,**,,,*
*,,#_____###K#,*,,,,***,+,*,,,***++**,**,,,*,,≈**,,,,,,,,**,,*
***#########.##**+***,***,*,,***,,***,,*+***,,≈*,,,,,,,,,,*,,*
*∩,,,,,,,,+$.$+,,,,,+,∩**,*,,****,,***,,,*,≈,,**,,,,,,,,,,**,*
***++++***#$.$#**********,**+*,,*,,*,***,*,≈,,*,,,,,,,,,,,,*,*
*,,,,,,,**##.##*,,,,,,,**,**,*,,,,,,,,,*,***,,*,,,,,,,,,,,,*,*
*,,,,,,,,*,#+#,*,,,,,,,,+,****,,,,,,,,,*,*,+,,**,,,,,,,,,,**,*
*,,*,,,,,*,,,,,*+++******,*,,+,,,,,,****+*,**+**,,,,,,,,,,*,,*
*,,,,,,,,*,,,,,*,,,,,,,,*,*****,,,***,,,,*,*≈≈≈**,,,,,,,,**,,*
*,,,,,*,,*******,,,,,,,*+,*,,,*****,,,****,*≈≈≈≈**,,,,,,**,,,*
*,,,,,,,,**,,,,,,,,,,,≈****,,,,,,,,,***,,,,*≈≈≈≈≈********,,,,*
*,,*,,,,,**,,,,,,,,,,≈≈**,,,,,,,*****,,,,****≈≈≈≈*≈≈≈≈≈*,,,,,*
*,,,,,,,,***,,,,,,,≈≈≈***,,,,,,**,,,,,,,,*,,*+≈≈≈+≈≈,≈≈',,,,,*
***++++*** ***,,≈≈≈≈*** *,,,,,**,,,,,,,,,*,,,**≈≈*≈≈≈≈≈*≈≈≈,,*
*∩,,,,,,∩****+******+****,,,,,*,,,,,,,,,,*,,,,******'*****≈≈≈*
*,,,,,,,,**∩∩********∩∩************,,,,,,*,,,,*≈≈≈≈≈≈≈≈≈≈**≈≈*
*∩,,,,,,∩***∩∩∩∩∩∩∩∩∩∩***≈≈≈≈≈≈≈≈,*,,,,,,*******≈≈≈≈≈≈≈≈≈≈≈≈≈*
********** ************ ***********,,,,,,+,,*,,+,,,≈≈≈≈≈≈≈*≈≈*
                        *,,,,,+,,,,,,,,,,*,,+,,*,,,,,,,,≈≈≈*≈*
                        **************************************