*********     *****************     **********     *********************   
   **,,,,,,,**   **,,,,,,,,,,,,,,,**   **,,,,,,,,**    *,,,,,,,,,,,,,,,,,,,*   
  **,,,,,,,,,** **,,,,,,,,,,,,,,,,,** **,,,,,,,,,,**   *,,,,,,,,,,,,,,,,,,,*   
 **,,,,,,,,,,,***,,,,,***,,,***,,,,,***,,,,,,,,,,,,**  *,,,,,,,,,,,,,,,,,,,*   
 *,,,,,,,,,,,,,*,,,,***,,,,,,,***,,,,*,,,,,,,,,,,,,,*  *,,,,,,,,,,,,,,,,,,,*   
 *,,,,,,,,,,,,,,,,,**,,,,,,,,,,,**,,,*,,,,,,,,,,,,,,*****************+******** 
 *,,,,,,,,,,,,,,,,**,,,,,,,,,,,,,**,,*,,,,,,,,,,,,,,**,,,,,,,,,,,,,,,,,,,,,,,* 
 *,,,,,,,,,,,,,,,,*,,,,,,,,,,,,,,,*,,,,,,,,,,,,,,,,,**,,,,,,,,,,,,,,,,,,,,,,,* 
 *,,,,,,,,,,,,,,,,*,,,,,,,,,,,,,,,*,,,,,,,,,,,,,,,,,************************+* 
 *,,,,,,,,,,,,,,,,*,,,,,,,,,,,,,,,*,,,,,,,,,,,,,,,,,* *** *** *** ***      *+* 
 *,,,,,,,,,,,,,,,,**,,,,,,,,,,,,,**,,*,,,,,,,,,,,,,,* *,***,***,***,****** *,* 
 *,,,,,,,,,,,,,,,,,**,,,,,,,,,,,**,,,*,,,,,,,,,,,,,,****+,+**,+**,+**<<<,***+* 
 *,,,,,,,,,,,,,*,,,,***,,,,,,,***,,,,*,,,,,,,,,,,,,,**,+,,,+,,,+,,,+,<<,<<**,* 
 **,,,,,,,,,,,***,,,,,***,,,***,,,,,***,,,,,,,,,,,,******,***,***,**,<,<,,**+* 
  **,,,,,,,,,** **,,,,,,,,,,,,,,,,,** **,,,,,,,,,,** *,**+* *+* ****,<<,<<**,* 
   **,,,,,,,**   **,,,,,,,,,,,,,,,**   **,,,,,,,,**  ****,***,***,***<<<,***+* 
    *********     *****************     ****++****   *,+,,,+,,,+,,,******* *,* 
**********************************   *******++****   *+**,***,***,***,+*,***+* 
*,,,,*,,*,,,,,,,,*,,,,*,,,*,,,,,,* ***,,,,,,,,,,,*** **,***,*+*,***,***,,,**,* 
*,,,,*,,,,,*,,*,,,,,,,,,,,*,,,,,,***,,,,,,,,,,,,,,,***+*+,**+,**+,**+,+*,***+* 
*,,,,*,,,,,,,,,,,,,,,,,,,,*,,,,,,**,,,,,,,,,,,,,,,,,**,*,,,+,,,*,,,*,,,*+* *,* 
*,,,,*,,*,,*,,*,,*,,,,*,,,*,,,,,,**,,,,,,,,,,,,,,,,,***+*,***,***,+**,**,***+* 
*,,***,**,,,,,,,,**,,**,,,**,,,****,,,,,,,,,,,,,,,,,***,***,***,***,+**,,,**,**
*,,*,,,,,*,,,,,,*,,,,,,*,*,.#,*,,***,,,,,,,,,,,,,,,***,,,+,,,+,,,+,,,**+,**,,,*
*,<+,,,,,,******,,,,,,,,,,....,,,* ***,,,,,,,,,,,*** **,***,***,***,**,**++,,,*
*,<*,,,,,*,,,,,,*,,,,,,*,*..#.#,,*   **++*********    *** *** *** **********,**
*,<***,**,,,,,,,,**,,**,,,##...##*#####++#####******************************+* 
*,<<<*,,*,,*,,*,,*,,,,*,,,#....).*#...XZc....#*<<<<*,,,,**,,,,,**,,,,,,,,,**,* 
*,<<<*,,,,,,,,,,,,,,,,,,,,#.....)##..N.sD....#*<<<<+,,,+*,,,,,,,**,,,,,,,,**+* 
*,<<<*,,,,,*,,*,,,,,,,,,,,#.....†))(.#.HD.#..#*<<<<*,,+*,,,,,,,,,**,,,,,,,**,* 
*,,<<*,,*,,,,,,,,*,,,,*,,,#.....))'.....E....#*********,,,,,,,,,,,**+**+****+* 
*++***********************#########.)........#*,,,,,,,,,,,,,*,,,,,,,,,,,,,**,* 
*++***************#################..#....#..#*,,,,,,,,,,,,*,*,,,,,,,,,,,,**+* 
*,,*,,,,,,,**,,,,,...............''..........#*,,,,,,,,,,,,,*,,,,,,,,,,,,,**,* 
*,,*,,,,,,,**,,,,,...........)...''..........#****++***,,,,,,,,,,,*****++***+* 
*,,*,,,,,,,**,,*###############).##..#....#..#*,,,,,,,**,,,,,,,,,**,,,*,,,**,* 
*,,*,,,,,,,**,,*#=#.#.#o#.#.#.#).##..........++,,,,,,,,**,,,,,,,**,,,,+,,,**+* 
*,,*,,,,,,,**,,#.#.#)#o#o#.#.#).)##..........++,,,,,,,,,**,,,,,**,,,,,*,,,**,* 
*,,+,,,,,,,**,,##}#.#[#o#.#}#)#..####''####''#******************************+* 
*,,*,,,,,,,**,,#.#.#.#o#o#.#.##..####''####''###############################+# 
*,,*,,,,,,,**,,##.#.#.#(#.#.#.#..##.)....##....).............................# 
*************,,*###############..##.#)##.##...(...............)..............# 
############*,,,,,,,,,,,,,,,,,...##.#})'.##..##############++##############..# 
#_________.#*,,,,,,,,,,,,,,,,,...##.'=[#.##..#,,+,,,+,,*,,,,,,,,*,,+,,,+,,#).# 
#_________.#**********++*****######.#.)'.##..#,,*,,,*,,*,,,,,,,,*,,*,,,*,,#oo# 
#_______...###########++###########.+)=#.##..#***,,,*******,,*******,,,***#))# 
##########'##................##..##,##+#.##..#,,,,,,,,,*,,,,,,,,*,,,,,,,,,#.)# 
#.?(.')))'.##......#..#......##..#*,,,,,,##..#,,,,,,,,,,,,,,,,,,,,,,,,,,,,#..# 
##########.##................''..#********#..#,,,,,,,,,*,,,,,,,,*,,,,,,,,,#..# 
#.........).'................''..##########).#*+***+**,****,,****,**+***+*#..# 
#'#####'#####......#..#......##..............#,,,,*<,*,*,,****,,*,*,,*,,,,#..# 
#.#..#..#[[##................##..............#,,,,*,,*,+,,*  *,,+,*,,*,,,,#..# 
#o#..).)#))#####'#####'p######################*************  *************#++# 
#.#..####))##.......##''#################################******************++* 
#.#..#..#))##.......##.)........#).....#.......#........#*,,,,**,,,*,*,*,,,,,* 
#.#..#..#..##.......##..........'......#.......#........#*,,,,*,,*,,,,,,,*,,** 
#.##'#..#'###...<...##..#####...#####'##.......#####'####*,,,+*,***,,,,,***,,* 
#.#...)....##.......##..).o.#.................÷...÷.....#*,,**,,,*,,,,,,,*,,** 
#.#..†.....##.......##..#)).#........##'##...÷....).....#*****,,***,,*,,***,,* 
#'###########.......##..#)..#.#####..#...#..###)##......#*,,,*,,,*,,***,,*,,,* 
#.......#..###########..#####.'.o.#..#...#..#....#......#*,,,+,,,,,,,*,,,,,,,* 
#.......#.############........#†..'..##'##..'....#......#*,,,*,,,*,,***,,*,,,* 
#...#...#)#....#..[[##........#†..#.........####'#.###'##*****,,***,,*,,***,,* 
#..###..#'#....#.!..###'###...#...#............o...#.:[.#*,,**,,,*,,,,,,,*,,** 
#...#...#)÷....'..))##.÷..'...#'###...####'##......#..=?#*,,,+*,***,,,,,***,,* 
#.......#(#....#..))##....#...........#..†).#......#=[.!#*,,,,*,,*,,,,,,,*,,** 
#.......÷)#....#..))##....#...........+.....#......#)}(=#*,,,,**,,,*,*,*,,,**  
#########################################################*******************