##########################******* *********************** ****
#<.#..)..#..'..#__#..4.54#,,* ,,,+,,,,,,+,,*,,+,,,,*,,, ,,,,,*
#..').#..').#..'..'..#KK5#*+ ,****,,,,,**,,+,,*,,,,**,,,,,,,,*
#..#####'#####'#__####543+,, ,*,***,,,****** + ,,,, *****,, ,*
#..####..#...#[####,,#####, +,*+*,***+* ,  *,,*,,,,,*,,,*,,,, 
#..#__####..##.#≈≈≈,,*,,**+****,,,* *,**,,, ,,**,,,,*,∩, ,,,,*
#..#_..._##'#..+≈≈≈,,+,,*,,,,,*,,,***,,***,*,,≈*** **,,,*,,,,*
#⌠⌠#_.∩...'..._#≈ ≈,,*,,*,,,,,+,,,,,**,*,*,*,,≈,,*,* **+*,,,,*
####_..._##_.#'#*+*****+***,, *,,,,,*,,***,*,  ,** *,,,,**,,,*
*, #_____###+#.#,,,,  *,+ *,,,***++* ,**,,,*, ≈**,,,,,,,,**,,*
***#######**,###*+ **,** ,*,,***,, **,,*+ **,,≈* ,,,,,,,,,*,,*
*∩,,,,,,,,+,,,+,,,,,+,∩**,*,,****,,***,,,*,≈,,**,,,,,,,,,,**,*
* *++++****,,,********* *,**+*,,*,,*,** ,*,≈,,*,,,, ,,,,,,,*,*
*,,,  ,,** *,***,,,,,,,**,**,*,,,,,,,,,*,***,,*,,,,,,,,,,,,*,*
*,,,,,,, *,*+*,*,,,,,,,,+,****,,,,,,,, *,*,+,,**,,,,,,,,,,**,*
*,, ,,,,,*,,,,, ++ ******,  ,+, ,,,,* **+* **+**,, ,,,,,,,*,,*
*,,,,,,,,*,,,,,*,,,,,,,,*, ****,,,***,, ,* *≈≈≈**,,,,,,,,**,,*
*, ,,,*,,*******,,,  ,, +,*,,,*****,,,****,*≈≈≈≈**,,, ,,**,,, 
*, ,,,,,,**, ,,,,,,, ,≈****,,,,,,,,,* *,,,,*≈≈≈≈≈*****  *,,,, 
*,,* ,,,,**,,,,,,,,,,≈≈**,,,,,,, ****,,,,****≈≈≈≈*≈≈≈ ≈*, , ,*
*,,,,, ,,***, ,,,,,≈≈≈***,,,,,,**,,  ,,,,*,,*+≈≈≈+≈≈,≈ +,,,,,*
***++++*** ***,,≈≈≈≈*** *,,,,,**,,,,,,,,,*,,,* ≈≈*≈≈≈≈≈*≈≈ ,,*
*∩,, ,,,∩****+******+** * ,,,,*,,,,,,,,,,*,,,,* * ** *****≈≈ *
*,,,,,,, * ∩∩*** *** ∩∩ ***** **** ,,,, ,*,,,,*≈≈≈≈≈≈≈≈ ≈**≈ *
* ,,,,,, ***∩∩∩∩∩∩∩∩∩∩***≈≈≈ ≈≈≈≈,*,,,,,,*** * *≈≈≈≈ ≈≈≈≈≈≈ ≈*
** ******* ************ ***********,,,,,,+,,*,,+,,,≈≈≈≈≈≈ *≈≈*
                        *,,,,,+, ,,, ,,,,*,,+,,*,,, ,,,,≈≈≈*≈ 
                        **** ********** *** ********** ** ****