######################****************************************
#<.#..)..#.)'..#__#..+,,,*,,*,,,,+,,,,,,+,,*,,+,,,,*,,,,,,,,,*
#..'[.#..'..#..'..'..#,,,**+*,****,,,,,**,,+,,*,,,,**,,,,,,,,*
#..#####'#####'#__####,,,+,,*,*,***,,,*******'*,,,,,*****,,,,*
#..####..#...#.####§§####*,,+,*+*,***+*,,,**,,*,,,,,*,,,*,,,,*
#..#__####..##.#≈≈§..#..#*+****,,,*,*,**,,,*,,**,,,,*,∩,*,,,,*
#..#_____##'#_.'§≈§§.'..#,,,,,*,,,***,,***,*,,≈***+**,,,*,,,,*
#⌠⌠#_.∩...'..._#≈≈().#..#,,,,,+,,,,,**,*,*,*,,≈,,*,****+*,,,,*
####_..__##_.#'##'#####§###,,,*,,,,,*,,***,*,,≈,**+*,,,,**,,,*
*,,#_____###+#[#(§((#*#.'.#,,,***++**,**,,,*,,≈**,,,,,,,,**,,*
***#######**,####+###,###§#,,***,,***,,*+***,,≈*,,,,,,,,,,*,,*
*∩,,,,,,,,+,,,+,,,,,+,∩*#§#,,****,,***,,,*,≈,,**,,,,,,,,,,**,*
***++++****,,,*##########§#*+*,,*,,*,***,*,≈,,*,,,,,,,,,,,,*,*
*,,,,,,,****,**#.......##{#*,*,,,,,,,,,*,***,,*,,,,,,,,,,,,*,*
*,,,,,,,,*,*+*,#.......§T§#***,,,,,,,,,*,*,',,**,,,,,,,,,,**,*
*,,*,,,,,*,,,,,#+++######§#,,+,,,,,,****+*,**'**,,,,,,,,,,*,,*
*,,,,,,,,*,,,,,#......§.#§#****,,,***,,,,*,*≈≈≈**,,,,,,,,**,,*
*,,,,,*,,*######.......#'{#,,,*****,,,****,*≈≈≈≈**,,,,,,**,,,*
*,,,,,,,,*#.))(....§.§≈####,,,,,,,,,***,,,,*≈≈≈≈≈********,,,,*
*,,*,,,,,*#.().....§.≈≈#*,,,,,,,*****,,,,****≈≈≈≈*≈≈≈≈≈*,,,,,*
*,,,,,,,,*##.......≈≈§##*,,,,,,**,,,,,,,,*,,*+≈≈≈+≈≈,≈≈',,,,,*
***++++*** ###..≈≈≈≈### *,,,,,**,,,,,,,,,*,,,**≈≈*≈≈≈≈≈*≈≈≈,,*
*∩,,,,,,∩*###'######'###*,,,,,*,,,,,,,,,,*,,,,******'*****≈≈≈*
*,,,,,,,,*#∩∩########∩∩#***********,,,,,,*,,,,*≈≈≈≈≈≈≈≈≈≈**≈≈*
*∩,,,,,,∩*##∩∩∩∩∩∩∩∩∩∩##*≈≈≈≈≈≈≈≈,*,,,,,,*******≈≈≈≈≈≈≈≈≈≈≈≈≈*
********** ############ ***********,,,,,,',,*,,',,,≈≈≈≈≈≈≈*≈≈*
                        *,,,,,',,,,,,,,,,*,,',,*,,,,,,,,≈≈≈*≈*
                        **************************************