************########################***************************
*,,,,,,,,,,(..............>([.......,,,,,,,,,,,,,,,,,,,,,,,,,,*
*,,,,,***,.........g.....<#...####.,,,,,,,***,**,,,,,,,,,,,,,,*
*,,,,,* *............###..#.Z.#  *,,,,,,,,* *,**,,,,,,,,,,***,*
*,,,,,* *............# #..#.J.#  *,,,,,,,,* *,**,,,,,,,,,,* *,*
*,,,,,* *......$.....# #..#...#  *,,,,,,,,* *,**,,,,,,,,,,* *,*
*,,,,,* *............# #..#...#  *,,,,,,,,* *,**,,,,,,,,,,* *,*
*,,,,,* *..........c.# #c.#...#  *,,,,,,,,* *,**,,,,,,,,,,* *,*
*,,,,,* *............# #.o#...#  *,,,,,,,,* *,**,,,,,,,,,,* *,*
*,,,,,* *........(...# #..#...#  *,,,,,,,,***,**,,,,,,,,,,***,*
*****,***#...........# *,,o.C.#  *,,,,<,,,,,,,**,,,,,,,,,,,,,,*
**,,***,,#####.......# *,...(.#***,,,,,,,,,,,,**,,,,,,,,,,**,,*
*,,,,+,,,,*  #.......# *,,,,,,,,>.............#*,,,,,,,,,,**,,*
*,,,,+,,,,*  #.......# *,,,,,,,,.$............#*,,,,,,,,,,**,,*
**,,***,,**  #..##...# *,,,,,,,,,.........)....,,,,,,,,,,,**,,*
 *++* ****   #..*#>..#**,,,,,,****#...........<,,,,,,,,,,,**,,*
**,,***,,*** #..*#....,,,,,,,,*   #.J..........,,,*****,,,**,,*
*,,,,+,,,,+* #..*#.....,,,,,,,*   #............*,,*   *,,,**,,*
*,,,,+,,,,+* *,,**,,,,,,,,,,,,*   #............*,,*   *,,,**,,*
**,,***,,*** *,,**,,,,,,,,,,,,*   #..oJ{)......*,,*   *,,,**,,*
*****,****,* *,,**,,,,,,,,,,,,*   #..?.<u......*,,*   *,,,**,,*
*,,*,,,,,,,* *,,**,,,,,,,,,,,,*   #....((......*,,*   *,,,**,,*
*,,,,,,,,,,* *,,**,,,,,,,,,,,,****#....((......*,,*   *,,,**,,*
*,,,,****,,* *,,**,,,,,,,***,,,,....#####..#...*,,*   *,,,**,,*
*,,,,*  *,,* *,,**,,,,,,,* *,,,,....*   *..#,..*,,*   *,,,**,,*
*,,,,*  *,,* *,,**,,,,,,,* *,,**##.,*   *..#,,.*,,*   *,,,**,,*
*,,,,*  *,,* *,,**,,,,,,,* *,,*  #,,*   *..#,,,*,,*   *,,,,,,,*
*,,,,*  *,,* *,,**,,,,,,,* *,,*  *,,*   *,.#,,,*,,*   *,,,,,,,*
*^,,,****,,***,,**,,,,,,,* *,,*  *,,*   *,,*,,,*,,*****,,,,,,,*
*,,,,,,,,,,,,,,,**,,,,,,,* *,,*  *,,*   *,,*,,,*,,,,,,,,,***,,*
*,,≈≈≈≈≈≈≈≈≈,,,,,,,,,,,,,* *,,*  *,,*   *,,*,,,*,,,,,,,,,* *,,*
*,,≈≈≈≈≈≈≈≈≈,**,,*,,,,,,,* *,,*  *,,*   *,,*,,,,,,,,,,,,,* *,,*
*,,≈**+++**≈,**,,*,,,,,,,***,,****,,*   *,,*,,,,,,,,,,,,,* *,,*
*,,≈*,,,,,*≈,**,,*,,,,,,,,,,,,,,,,,,*****,,,,,,,,,,,,,,,,* *,,*
*,,≈*>,,,∩*≈,**,,*,,,,,,,,,,,*****,,,,,,,,,,,,,,,,,,,,,,,* *,,*
*,,≈*******≈,**,,*,,,,,,,,*,,*   *,,,,,,,,,,,,,,,,,,,,,,,* *,,*
*,,≈≈≈≈≈≈≈≈≈,**,,*,,,,,,,,*,,*   *,,,,,,,,,,,,,,,,,,,,,,,* *,,*
*,,,,,,,,,,,,**,,*,,,,,,,,*,,*   *,,,****,,,,,,,,,,,,,,,,***,,*
*,,,,,,,,,,****,,*,,,***,,*,,*   *,,,*  *,,,,,,,,,,,,,,,,,,,,,*
*,,,,,,,,,,,,,,,,*,,,* *,>*,,*   *,,,*  *,,,,,,,,,,,,,,,,,,,,,*
*,,,,,,,,,,,,,,,,*,,,* *,,*,,*   *,,,*  *,,,,,,,,,,,,,,,,,,,,,*
*,,,,,,,,,,,,,,,,*,,,* *,,*,,*   *,,,*  *,,,,,,,,,,,,,,,,,,,,,*
*,,,,,,,,,,,,,,,,*,,,* *,,*,,*   *,,,*  *,,,,,,,,,,,,,,,,,,,,,*
*,,,,,,,,,,,,,,,,*,,,* *,,*,,*   *,,,*  *,,,,,,,,,,,,,,,,,,,,,*
*,,,,,,,,,,,,,,,,*,,,* *,,*,,*   *,,,*  *,,,,,,,,,,,,,,,,,,,,,*
*,,,,,,,,,,,,,,,,*,,,* *,,*,,*   *,,,*  *,,,,,,,,,,,,,,,,,,,,,*
*,,,,,,,,,,,,,,,,*,,,* *,,*,,*   *,,,*  *,,,,,,,,,,,,,,,,,,,,,*
*,,,,,,,,,,,,,,,,*,,,***,,*,,*****,,,*  *,,,,,,,,,,,,,,,,,,,,,*
*,,,,,,,,,,,,,,,,*,,,,,,,,*,,,,,,,,,,****,,,,,,,,,,,,,,,,,,,,,*
*,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,*
***************************************************************