;(*712cCejJyGZqqZZZZqqqQQQQffffffffQffQQQQQQQQQQQfQQfffffffffQQQQqqqqqqqqqqZZGJe
7[2CejJyGZZZZZZZqqqqQQfQQQQQQQQQQQQQQQQffffQQQQQQQQQQQQQQQQQQQfffffQQqqqqqqqqqqZ
CjJyGGZZZZZZqqQQQQQQQQQQQfffffffffffffffffffffffffffffffffffffffffffffffQQQQQqqq
yGGGGZZqqqQQQQQQQQffffffffffffffffffffffffffffffffffffffffffffffffffffffffQffQfQ
eejJJyGGZZqqQQQQQffffffff@ffff@@@@@@@@@@@@@@@@@@@@@@@@@@@@ff@@@ff@@@@@ffffffffff
CeJJJyGZZGqqZQQqZQf@pppkkkkk#kk###ppkppppp@pppppppppp@pp@@p@@@@@@@@@@@@@@@@fffff
112cCcCjjjeeeejjjjJyyyyyyZqqZGyyyyZ@@ZGf##pkkkkkkkkkkkkkkkkkppppppppp@@@@@@@@f@@
cCCCCcCCeeejJJyGZZZqqqZGyyyGGJJyJeCeCc2ejyQ#BBBB####B##############kkkkpppppp@@@
eeJJyyGZZqqqQQff@@@@@ppp@@@fff@@pppQyyyZGjf#BBBBBBBBBBBBBBBBBBBBBBBBB######kkkpp
ejjJJyGGZZZqQQQQff@@@@@@@p@@@f@@@@@@ffQQqq@c2fBBBBBBBBBBBBBBBBBBBBBBBB###B######
cCCejjJJyyyyGGGGZqqqqQQQQQQQQQfQffffffQQqQfy2yJZfqkkkkkkkkkkpppp@@@@@@@@@f@@@@@@
12ccCeejjJJyyyGGGZZqqqqqQQQQQQQQQQQGJZpfGCce1cJe7(7Zp@pp@@@@@@@fffQQQQQQqqqqqqqq
[[[112222cccCejjjJJJJJJJyyyyGGGGGjejyJeeec171jc777(([eGQQQqQQQQfQqqqQqqqqqqZZGZG
**77777[[[[[1122222112222222cc22Cejejjyeyy2[jCe2[7*777712eJjJqqqZZZZGGGGGZGyyyyy
";;(***7*777[[[[[[[[[[[71cc2CCcZZyjJGGJZqJ2CJje1[777*77777[1c11CejyyyJyyJJjjejjj
;;((**777[[[7[77777777771jyJecjZyZGJyqZGZqeyJeC777*777777*7[1211[2[[177[111[[[1c
";";((****(((((((((****7117777eC777jJJcCcjCjCcCc([21[[11[[[7[777777777777**7*777
`''::^^^^^^^"";;((((((((((((((((**7ce[*72C22e1c**(7[211c1[7[7[7**(***777*7*(*(((
....``'':^^^";;;;;;;"";;;;;;;((((;;;;(71((127*77(*"(7177*7777*(**((*(****((((((;
.....``::^"^^^^";;;"";"^^:::;(;;;;^;((;;;(;;([[*(((;;*(((777*(*(";((((((;;;;;(((
.....````'''::::^^^^^:'^^:";;(;"^^;;;;;(;"";((*;((((;;(((**(((((;;(((;;"^"";;;;;
.......````'`'::`::``'':^;""^""""""^"(^";""";;;;;;(((;(((((((((;((;"";;^^^";^""^
..........``'''```'''::^:^^^:^""'^^^;;;^^""";"^^;;((;(;;;(((((;;";;;;;^^^:^^^:':
.................`''`:^`:"^^'```^"^^";;^;"";";^^";;;;((;^(((;(;""^^^^"^:^^:::'''
................`.`'':':^:``.':^^^^^"^^;^;^^;^^^";;;;(;;^"((;(;;;""^^"^:^::::'``
..................````....`::^^::^^^"^^^"^^^""^:;;;^;(;;;^"((;(;";^^^^^^^^:'''``
........................`''''::'^^::'^^^:^"^^^^^:;^;;";;(;;^;;;;";"^^^::::'`:``.
......................````:'`'':^``.^^:'^"^^^:^^^^^^";(^";^;^";;;;^^^^^:':''`:.`
......................``````...'`.:^^''^^^^^::^"^"^'^;;;^;':^"^^""^^:^';":`'.''`
.....................`.`......``'::^^^^::^:::^'^^";^;"""^'''"^^^^^^^^^:^""^'.'.`
...........................`.``''::':^^::"^^'':^^;^^:^":^:':'"::^;:^^:^^"^^:.''^