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