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