##########################************************************
#<.#.['..#.)'..#__#..ss..#,,*,,,,+,,,,,,+,,*,,+,,,,*,,,,,,,,,*
#..'..#..'..#..'..'.s#s..#*+*,****,,,,,**,,+,,*,,,,**,,,,,,,,*
#..#####'#####'#__####...'..#,*,***,,,*******+*,,,,,*****,,,,*
#..####..#...#[####,,*####..+,*+*,***+*,,,**,,*,,,,,*,,,*,,,,*
#).#__####..##.#≈≈≈,,*,,**+##**,,,*,*,**,,,*,,**,,,,*,∩,*,,,,*
#..#_____##'#_.+≈≈≈,,+,,*,,,,,*,,,***,,***,*,,≈***+**,,,*,,,,*
#⌠⌠#_.∩...÷..._#≈≈≈,,*,,*,,,,,+,,,,,**,*,*,*,,≈,,*,****+*,,,,*
####_..__##_.#+#*+*****+***,,,*,,,,,*,,***,*,,≈,**+*,,,,**,,,*
*,,#_____###+#,*,,,,***,+,*,,,***++**,**,,,*,,≈**,,,,,,,,**,,*
***#######**,****+***,***,*,,***,,***,,*+***,,≈*,,,,,,,,,,*,,*
*∩,,,,,,,,+,,,+,,,,,+,∩**,*,,****,,***,,,*,≈,,**,,,,,,,,,,**,*
***++++****,,,***********,**+*,,*,,*,***,*,≈,,*,,,,,,,,,,,,*,*
*,,,,,,,****,***,,,,,,,**,**,*,,,,,,,,,*,***,,*,,,,,,,,,,,,*,*
*,,,,,,,,*,*+*,*,,,,,,,,+,****,,,,,,,,,*,*,+,,**,,,,,,,,,,**,*
*,,*,,,,,*,,,,,*+++******,*,,+,,,,,,****+*,**+**,,,,,,,,,,*,,*
*,,,,,,,,*,,,,,*,,,,,,,,*,*****,,,***,,,,*,*≈≈≈**,,,,,,,,**,,*
*,,,,,*,,*******,,,,,,,*+,*,,,*****,,,****,*≈≈≈≈**,,,,,,**,,,*
*,,,,,,,,**,,,,,,,,,,,≈****,,,,,,,,,***,,,,*≈≈≈≈≈********,,,,*
*,,*,,,,,**,,,,,,,,,,≈≈**,,,,,,,*****,,,,****≈≈≈≈*≈≈≈≈≈*,,,,,*
*,,,,,,,,***,,,,,,,≈≈≈***,,,,,,**,,,,,,,,*,,*+≈≈≈'≈≈,≈≈',,,,,*
***++++*** ***,,≈≈≈≈*** *,,,,,**,,,,,,,,,*,,,**≈≈*≈≈≈≈≈*≈≈≈,,*
*∩,,,,,,∩****+******+****,,,,,*,,,,,,,,,,*,,,,******'*****≈≈≈*
*,,,,,,,,**∩∩********∩∩************,,,,,,*,,,,*≈≈≈≈≈≈≈≈≈≈**≈≈*
*∩,,,,,,∩***∩∩∩∩∩∩∩∩∩∩***≈≈≈≈≈≈≈≈,*,,,,,,*******≈≈≈≈≈≈≈≈≈≈≈≈≈*
********** ************ ***********,,,,,,+,,*,,+,,,≈≈≈≈≈≈≈*≈≈*
                        *,,,,,+,,,,,,,,,,*,,+,,*,,,,,,,,≈≈≈*≈*
                        **************************************