##########################************************************
#<.#.)'..#.)'..#__#..'4K.#,,*,,,,+,,,,,,+,,*,,+,,,,*,,,,,,,,,*
#..'..#.)'..#..'..'..#..4#*+*,****,,,,,**,,+,,*,,,,**,,,,,,,,*
#..#####'#####'#__####K..+,,*,*,***,,,*******+*,,,,,*****,,,,*
#..####..#...#.####,,#####,,+,*+*,***+*,,,**,,*,,,,,*,,,*,,,,*
#..#__####..##.#≈≈≈,,*,,**+****,,,*,*,**,,,*,,**,,,,*,∩,*,,,,*
#..#_____##+#_.+≈≈≈,,+,,*,,,,,*,,,***,,***,*,,≈***+**,,,*,,,,*
#⌠⌠#_.∩...+..._#≈≈≈,,*,,*,,,,,+,,,,,**,*,*,*,,≈,,*,****+*,,,,*
####_..__##_.#'#*+*****+***,,,*,,,,,*,,***,*,,≈,**+*,,,,**,,,*
*,,#_____###+#.#,,,,***,+,*,,,***++**,**,,,*,,≈**,,,,,,,,**,,*
***#######**,###*+***,***,*,,***,,***,,*+***,,≈*,,,,,,,,,,*,,*
*∩,,,,,,,,+,,,+,,,,,+,∩**,*,,****,,***,,,*,≈,,**,,,,,,,,,,**,*
***++++****,,,***********,**+*,,*,,*,***,*,≈,,*,,,,,,,,,,,,*,*
*,,,,,,,****,***,,,,,,,**,**,*,,,,,,,,,*,***,,*,,,,,,,,,,,,*,*
*,,,,,,,,*,*+*,*,,,,,,,,+,****,,,,,,,,,*,*,+,,**,,,,,,,,,,**,*
*,,*,,,,,*,,,,,*+++******,*,,+,,,,,,****+*,**+**,,,,,,,,,,*,,*
*,,,,,,,,*,,,,,*,,,,,,,,*,*****,,,***,,,,*,*≈≈≈**,,,,,,,,**,,*
*,,,,,*,,*******,,,,,,,*+,*,,,*****,,,****,*≈≈≈≈**,,,,,,**,,,*
*,,,,,,,,**,,,,,,,,,,,≈****,,,,,,,,,***,,,,*≈≈≈≈≈********,,,,*
*,,*,,,,,**,,,,,,,,,,≈≈**,,,,,,,*****,,,,****≈≈≈≈*≈≈≈≈≈*,,,,,*
*,,,,,,,,***,,,,,,,≈≈≈***,,,,,,**,,,,,,,,*,,*+≈≈≈+≈≈,≈≈+,,,,,*
***++++*** ***,,≈≈≈≈*** *,,,,,**,,,,,,,,,*,,,**≈≈*≈≈≈≈≈*≈≈≈,,*
*∩,,,,,,∩****+******+****,,,,,*,,,,,,,,,,*,,,,******+*****≈≈≈*
*,,,,,,,,**∩∩********∩∩************,,,,,,*,,,,*≈≈≈≈≈≈≈≈≈≈**≈≈*
*∩,,,,,,∩***∩∩∩∩∩∩∩∩∩∩***≈≈≈≈≈≈≈≈,*,,,,,,*******≈≈≈≈≈≈≈≈≈≈≈≈≈*
********** ************ ***********,,,,,,+,,*,,+,,,≈≈≈≈≈≈≈*≈≈*
                        *,,,,,+,,,,,,,,,,*,,+,,*,,,,,,,,≈≈≈*≈*
                        **************************************