##########################************************************
#<.#..).)#..'..#__#..)...#,,*,,,,+,,,,,,+,,*^^+,,,,*,,,,,,,,,*
#..[..#..'..#.sss.'.)#...##+#,****,,,,,**,,+^^*,,,,**,,,,,,,,*
#..#####'#####'#__####...'..#,*,***,,,*******+*,,,,,*****,,,,*
#..####..#$$$#.####,,#####..+,*+*,***+*,,,**,,*,,,,,*,,,*,,,,*
#..#__####$$##.#≈≈≈,,*,,**+##**^,,*,*,**,,,*,,**,,,,*,∩,*,,,,*
#..#_____##'#_.+≈≈≈,,+,,*,,,^,*,,,***,,***,*,,≈***+**,,,*,,,,*
#⌠⌠#_.∩...'..._#≈≈≈,,*,,*,^^,,+,,,,,**,*,*,*,,≈,,*,****+*,,,,*
####_..__##_.#+#*+*****+***,,,*^,,,,*,,***,*,,≈,**+*,^,,**,,,*
*,,#_____###+#,*,,,,***,+,*,,,***++**,**,,,*,,≈**^,^,^,,,**,,*
***#######**,****+***,***,*,,***,,***,,*+***,,≈*,,,,,,,,,,*,,*
*∩,,,,,,,,+,,,+,,,,,+,∩**,*,,****,,***,,,*,≈,,**,^,,^,,,,,**,*
***++++****,,,***********,**+*,,*,,*,***,*,≈,,*,,,,,,,,,,,,*,*
*,,,,,,,****,***,,,,,,,**,**,*,,,,,,,,,*,***,,*,,,,,,,,,,,,*,*
*,,,,,,,,*,*+*,*,,,,,,,,+,****,,,,,,,,,*,*,+,,**,,^,,,^,,,**,*
*,,*,,,,,*,,,,,*+++******,*,,+,,,,,,****+*^**'**,,,,,,,,,,*,,*
*,,,,,,,,*,,,,,*,,,,,,,,*,*****,,,***,,,,*,*≈≈≈**,,,,,,,,**,,*
*,,,,,*,,*******,,,,,,,*+,*,,,*****,,,****,*≈≈≈≈**,,,,,,**,,,*
*,,,,,,,,**,,,,,,,,,,,≈****,,,,,,,,,***^,^,*≈≈≈≈≈********,,,,*
*,,*,,,,,**,,,,,,,,,,≈≈**,,,,,,,*****,,^^****≈≈≈≈*≈≈≈≈≈*,,,,,*
*,,,,,,,,***,,,,,,,≈≈≈***,,,,,,**,,,,^^,,*,,*'≈≈≈'≈≈,≈≈',,,,,*
***++++*** ***,,≈≈≈≈*** *,,,,,**,,,,,,,,,*,,,**≈≈*≈≈≈≈≈*≈≈≈,,*
*∩,,,,,,∩****+******+****,,,,,*,,^,^,,,,,*,,,,******'*****≈≈≈*
*,,,,,,,,**∩∩********∩∩************,,,,^,*,,,,*≈≈≈≈≈≈≈≈≈≈**≈≈*
*∩,,,,,,∩***∩∩∩∩∩∩∩∩∩∩***≈≈≈≈≈≈≈≈,*,,,,,,*******≈≈≈≈≈≈≈≈≈≈≈≈≈*
********** ************ ***********,^,,,,+,,*,,',,,≈≈≈≈≈≈≈*≈≈*
                        *,,,,,+^,^,,,,,,,*,,+,,*,,,,,,,,≈≈≈*≈*
                        **************************************