diff --git a/config/grub/grub.conf b/config/grub/grub.conf
deleted file mode 100644
index bdfb3a949..000000000
--- a/config/grub/grub.conf
+++ /dev/null
@@ -1,21 +0,0 @@
-timeout 10
-default saved
-foreground = 6d6963
-background = ffffff
-#hiddenmenu
-# *** If you want use serial console comment next line
-splashimage (hd0,0)/grub/ipfire.xpm.gz
-# *** add "console=ttyS0,115200n8" to kernel cmdline,
-# *** uncomment following lines and check also inittab
-#serial --unit=0 --speed=115200
-#terminal --timeout=1 serial console
-title IPFire
-  root (hd0,0)
-  kernel /vmlinuz-KVER-ipfire root=ROOT panic=10
-  initrd /ipfirerd-KVER.img
-  savedefault 0
-title IPFire (vesafb 1024x768)
-  root (hd0,0)
-  kernel /vmlinuz-KVER-ipfire root=ROOT panic=10 vga=791
-  initrd /ipfirerd-KVER.img
-  savedefault 1
diff --git a/config/grub/ipfire.xpm.gz b/config/grub/ipfire.xpm.gz
deleted file mode 100644
index ff947765f..000000000
--- a/config/grub/ipfire.xpm.gz
+++ /dev/null
@@ -1,497 +0,0 @@
-/* XPM */
-static char * Bootsplash_xpm[] = {
-"640 480 14 1",
-".	c #030303",
-"+	c #171717",
-"@	c #272727",
-"#	c #383838",
-"$	c #4A4A4A",
-"%	c #575757",
-"&	c #6F6F6F",
-"*	c #888888",
-"=	c #989898",
-"-	c #A8A8A8",
-";	c #B8B8B8",
-">	c #C7C7C7",
-",	c #D7D7D7",
-"'	c #E7E7E7",
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-";;>;>>;>>>;>;>;>>;>;>>>;>;>;>;>;>>>;>;>;>;>>;>;>;>;>>>;>;>>;>>>;>>>;;>>>;>;>>>;>;>;>>;>>>>;>>>>>>>>>>>>>;>>>>>;>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>,>>>>>>>>>>>>>>>>>,>>>,>,>>,>>>>>>>>>>>,>,>>>>>,>>>>>,>>,>,>>,>,>>>,>,>>>,>,>,>,>>>>,>>>,>>,>,>,>,>,>,>,,>,>,,>,,>,,>,>,,,>,,,>,>,,,>,>,>,>,,,>,,,,>,>,,,>,,,>,,,,>,,,,,,,>,,,,,,>,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,',,,,,,,',,,,,,',,,,,,',,,,,',',',',,,',',',,',,',,',',,',,,',',,,',','',,,',',,,,,,,>>-**==----;;>>>>>>>,>,>,,>>>>>;-=**&&&&&&***==*&&&&&&==-------;;;;;>;>>>>>>>>>>>;>;;>;--=*;>>,,,,,,,,',',,''',,,'','''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>;>;>;;;>;>;>;>>;>;>;>;>;>;>;>;;;>;>;>;>>;>>;>>;>;>;>>>;>>;;>>>;>>>>;>>>>>;>>;>>>>>>>>;>>>>;>;>>;>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>,>>>>,>>,>>>>,>>>>>>>>>>>,>,>,>,>>>>>,>>,>>,>,>>,>>,>>,>>>,,>,>>,,>>,>,>,>,,>,>,>,>,,,>,>,>,>,>,>,>,>,>,,>,>,>,,,>>,,>,>,,,>,>,,,,>,,,>,,>,>,,,,,>,,,>,,,>,,,,,>,>,,,>,,,,,,,,,,,,,>,,,>,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,',,,,,,,',,,',,',,,,',',,,,,,,,',,,',,,',,',,',,,,',,'',,',',',,,',,''',,,',,,,,,,,;***=--;--;;>>>>,>>,>,>>,,>>>>;-=**&&&&&&&****&&&&&**==----;--;;;;;;;>;>>>>>>>;>;>>;;--*->>>>,,,,',,,','',,,''','''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>;>;>>>;>;>;>;;>;>;>;>;>>;>>;>>>;>;>;>>;>;>;>;>;>;>;>;>>>;>>;;>>;>;>>;>;>>>>>>;>>>;>>>>>;>>>>>>>>>;>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>,>>>>,>>>>>>>>>>>,>>,>,>>,>>>>>>>>,>,>>,>>>,>,>>,>>,>>>,>,,>>>>,>>>>,>,>,>>>>,>,>,>,>>>,>,>,>,>,>,>,>,,>,>,>,>,>,>,,,>,>,>,>,>,,>,>,,>,,>,,,,,>,>,,,>,,,>,,,,>,,,,,,,,,,,,>,,,,,,,,>,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,',,,,,,',,,,,,,,,,,',,,,,,',',',,,',,,',,,',,',,',',,',,,',,,',,'',',',,,',,,',,,,,,>>;***-----;;>>>>>,>,>,,>>,>>>>>;-**&&&%&&&&&&&&&%&&&*===------;;;;;>;;>;>;>>;>;>;;>;;-==;>,,>,,,,,',',,,','',,',','''''''''''''''''''''''''''''''''''''''''''''''''''''",
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-";>;>;>;>;>;>;>;;>>>;>;;>;>;;>;>;>;>>;>>;>>;;>>>>;>>>;;>;>>>;>>;>>>>;>>>>;>>>>>;>>;>>>;>;>>>>>>>;>>>>>;>>>>>>>;>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>,>>>>,>>>>>>,>,>>>>>>>>,>>>,>>>,>,>,>,>>>,>>>>,>>,>>,>>,>>,>>,>,>,>>,>,>,>>>,>,>,,>,>,>,>,>>,>,>,>,>,>,>,>,>,>,>,>,,>,>>,,>,,,>,,>,,,>,,,>,,,>,,>,,,,,,>,,,>,,,,,,>,,>,,,>,,>,,,,,,,,,,,,,>,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,,',,,,,,,',',',,,,,,',',',,',,,',,,',,,',,',,,',,',',',,''',,',',,',',',,,,,,,,,,,,,,,,,,,,,,,,,>,>;--=-===*&&&*****&&&*&&&***==-*&%&%&&&&&&**;,,,,,,,,'',,,,,,,,,,,,>;;;>,,,',','','''',,',''''''''''''''''''''''''''''''''''''''''''''''''''''''",
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-";>>;>;>;>;>>;>;>;;>>;;>>;>;>;>;>;>;>>>;>>;>;>>;>>;>>;>;>>>;>>;>>>>>;>>>>>;>>>>;>>>>>;>>;>>;>>>>;>>>>>>;>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>,>>,>,>,>,>,>,>>>>>,>,>>>>>,>>>>>,>>,,>,>,>,>>,>>,>,>,>,>>,>,>,,>,>,,>,>,>,>,>,,>,,,>,>,,>,,,>,>,>,,>,,,>,,>,,,,>,>,>,,>,,,,,,,,,,>,,>,>,,>,,>,,>,>,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,',,,,,,,,,,,,,,,,,,',',',,,,',',,,',,,,',',',',,,,,'',,,',',,',',,',',,,,',',',,,',,',,,,,>>>>>>>>>>>>>>>,,>,,>;-=--===*&&%&&***&*****===-*&%&&&&&*&***->>>>>>>>>>>>>>>>>>>>,>,,,,,>>>,',','','''','','''''''''''''''''''''''''''''''''''''''''''''''''''''''",
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-";>;>;>>>;>>;>;>;>>;>;>>;>;>;>>>;>;>>;>;>>;>;>>>;;>>;>>;>;>>;>>>>>>>;>>>>;>>;>>>>>>;>>;>>;>>>>>>>;>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>,>>>>>>>>>>>>>>,>>,>>,>>,>,>,>,>>>>,>,>>>>,>,>>,>,>>,>,,>>,,>>>,>,>,>>,>,>,>>,,,,>,>,,>,>,>,>,>>,>,>,,>,,,>,,,,>,>,>,>,,,>,,,>,,,>,>,>,,>,,,,,,,,,,,>,>,,>,>,>,>,,>,,,,>,,>,,>,,,,,,,,,,,,,,,,>,,,,>,,,,,,,,,,,,,,,,,,,',,,,',,,,,,,,',,',,,,',,,',,,,,,,,,,,',',',',,',',,,',',,,,',,,,',,,,,',',',,',,',',,',',',,,,',',,,',,,,,>>>;;;;;;;;;;;;;;;;>>>>>>>;-----==*&&%%&******===-=*&&&&&*&*&***-;>>>>>>;;;;;;;;;;;;;;;;>>>>,,>,,,',''',''',',','''''''''''''''''''''''''''''''''''''''''''''''''''''''",
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-";>;>;;>>;;>>;>;>>;>;>;>;>;>;>;>>;>;>;>>>;;>>;>>>;>>;>>>>>;>>>>;>>;>>>>>>>>>>>>>>>>;>>;>>>>;>>>>>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>,>>,>>>>>>>>,>>,>,>>>>>>>,>,>,>>>>,>,>,>>>,>>,>>,>>,>,>,>,>>>,>,>,>>>,>,>>,>,>>,,>,>,,>,>,>,>,>,>,>,>,>,>,,>,>,,,>,,,>,>,>,,,>,,>,,>,,>,>,>,,,>,>,,,>,>,,,,,,,>,,,,,>,>,,,,,,,,>,,>,,,>,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,',,,,',,',,,',',,,,,,',',,,,',',',,',',',,'',,',,,',,,,,',,,',,',',,',,',',,,,>,>>>;;;;--=*&%%%%%$%%%%%%%%%%%%%%%%%%%%%%%%%%&&**=--=-======-=-----------------;-==**&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$%%***==--;;>>>,,,''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>;>>;>;>>;;>>;;>;>>>;>;>>>;>>;>;>>;>;;>>>;>>;;>>;>>;>;;>>;>;>>>>>;>;>>;>>;>>;>;>>>>>>>;>>>>>;>>;>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>,>>>>>>>>>>>,>>,>>>>>>>>,>>,>>>>>>>,>,>>>>>>,>>>,>>>>,>>>>,>>>,>,>,>>>,>,>,>,,>,>>,>>,>,>>,>,>,>,>,>,>,,>,,>,>>,>,,>>,,>>,,,>,>,>,,>,,>,,,,,,>,,>,,,,,>,,,,,>,,>,,,,>,,,,,,,,,>,,>,,,,,,,,,,,,,,,,>,,,,>,,,,,,,,,,,,,,,,,,',,,,,,,,,,',,,,,,,,,,,,,,',,,,,',,',,,,,',,,,,,,,,,,,,,',,,',,',',','',,'',,',,,',',',',,',,,,,>>>;;;---=**%$$$$$$%$%%%%%%%%%%%%%%%%%$$$%%$%%&*============-=-----------------==**&%%%%$$$%%%%%%%%%%%$%%$%$%$$$$$$$$%&**===---;;>>,,,,,'''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>;>;>;>;>>;;>>>;>;>;>;>;;>>;;>>>;>>;>>>;>>;>>>>;>>;>>>>>>>>>>;>;>>>>;>>>>>>>>>>>;>>>>>>>>;>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>>,>>>>>>>>,>>,>>>>>>>,>,>,>>>>>,>,>>,>,>>,>,>>,>,>>,,>>,>>>,>,>,>>,>>>,>,>,>,>,>,,>,>,>,>,>,>,>,>>,,>,,>,>,,,>,,,>>,,>,,,,,,>,,,>>,>,,,,,,>,>,,,>,>,,,,,>,,,,>,,>,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,',,,,,,,,,,,',,,,,,,,,',,,',',',,',',',,,',,,',,,,',,,',,',','',',,',',',,,,,>,>>>>>;;---==*&&%&%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&**======*====-------;-;-;------==**&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&**===---;;;>>>,,,''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>;>;>;>;>;>>;;>;>;>;>;>>;>;>>;;>;>>;>;>;>>;>;>>;>>;>;>;>;>;>>>>>;>>>>>>;>>;>>;>>>>;>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>>,>>,>>>>>>>,>>,>>>>>>,>>,>>>>>>>>,>,>>>>,>>>,>>>>,>>,>>,>>>,>>,,>,>>>,,>,>,>,>,>,>,>,>>,>,>,>,>,,,>,>,,>>,>,,>,,>>,,>>,,,>,,>>,>>,,>,,,,,>,>,>,,,,,>,,,,,,>,,,,,>,,,,,,,,>,,,>,,,>,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,',,,,',',,,',,,,',,',,',,,',,,,,',,,,,,,',,',',,',',,',,',,,',,,,,,',',,,',',,,,,>>>>;;;;----===**************&*&*&&*&&&&&&&&&&**==--==-=-=-------;---;-;;;;----==**&&&&&&&&&&&&&&&&*&*&**&********=*===-=---;;;>>>,>,',''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>;>;>;>;>;;>>;>;>;>>;>;>;>>;>>;>;>>;>>;>>;>>;>;>;>>>>>>>>>;>;>>>;>;>;>>;>>>>>>;>>>>>;>>>>;>>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>,>>>>>>>>>,>>>>>>,>,>,>,>>>>>>,>>>,>>,>,>>,>>>,>>,>,>,>>>>,,>>>,>,>,>>,>>,>,>,,>,>,>,>,>>,,>,,>,,,>,>,>,,,>,,,,>,,>,,,,,,,,>,>,>,,,,,,,>,>,,,>,>,,,,,>,,,,,>,,>,,,>,,,,,,,,,,,,>,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,',,,,,,,,,,',,',',,,,',',',,',,,,,',,,,',',,'',,','',',','',,',,,,,,,,>>>>;;;;-;---------=====*===*===**==*=**=*=**==--------------;--;;;-;;--;-;---=====**********==*=*==*=========--------;;;;;;>>>>,,,,','''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>;>;>;>;>>;>;>;>;>;>;>;>>;>>;>>>;;>;>>>;>>;>>>>>>;>;>;>;>>>>>;>>>>>>>>>>>;>>;>>>;>>>>>;>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>,>>>>>>>>>>,>>>>>>,>,>>,>>>,>,>>>>>>>>>,>,>,>>,>>,>>>>,>>>,,>,>,>>>,>>,,>>>,,>,>,>>,>,>,>>,>>,>,>,>,>,,>>,>,>,>>,>,>,,>>,,>>,>,>,,>,>,>,>,,,>,,>,>,>,,,,,>,,,,,>,,>,,,>,,,,,,,,,,,,,,>,,,,,,>,,,,,,,,,>,,,>,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,',,,,',,,,,,,,,,,,',',,',,,,,,,,,',',,,,,',,','',,,',',,,',',,',',,,',,',,',,,',',,,>,>>>>>>;>;;;;;;;-;--;----------=--=-=-=-===-=-----;--------;-;-;;-;;;;;;;;;;-----====-==-=---=-=---=--------;;-;-;;;;;>;;>>>>>,,,,,',','''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>>;>>;>>;>;>;>;>;>;>;>>;>;>;>>;;>>>>>;;>>;>>;>;;>;>>>;>>>>;>;>>;>>;>>;>>;>>>>>>>>>>;>>>>>>>>;>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>,>>>,>>>>>>>>>>>,>>>>>>,>,>,>,>>>>>>,>>,>>,>,>,>,>>>,>>>,,>>,>>>,>,>>,>>,>,>,>,>,,>,>,>,>,>,>,>,,>,,>,,>,,>,>,,,>,,,>,,>,>,>,,,>,,>,,,>,,,>,,>,>,,,>,>,,,,,,,,,>,,>,>,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,',,,,,,,,,,',,',,,,,,,,',,',',',,,,,',',,',,,,,',',,,',',,,',,',,',',',,',',',,,,,,,,,,,,>>>>>>>>>>;>;>;;;;;;;;;;-;;-;-;--;-;;--;--;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;--;;--;-;--;-;-;;-;;;;;;;;>;;;>;>;>>>>>>>>>,>,,,,,,,''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>;>;>;;>;>;>;>;>;>;>;;>>>;>;;>>;>;;;>>>;>>;>>>>>>;>;>>>;>>>>;>>>;>>>>>>>>>;>;>>>>>>>>;>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>,>>>>>>>>>>,>>,>>,>>>>>,>>>>>>>>>>>>,>,>>>,>>,>>>,>>>,>>>,>,>>>,>,>,>,>,>>,>,>>,>,>>,>,>,>,>,>,>,>,>,>,>,>,>,>,>,,>>,,>,,>,>,,>,,>,,,>,,>,,>,,,,>,,,,>,,,,,,>,>,,>,,,,,,,,,>,,>,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,',,',,,',,,',,',,,,,,,,,,,',',,,,,',,',',,',,',,',',',,',,',',,',',',',,',,,,,,,,,,,,,,,>,>>>>>>>>>>>>>>>>>>;>>;>;>>;>;;;>;;>;;;>>>>>>>>;>;>>>>>>>;>>>>;>>>>;;>;;;;>;;;>;>;;>>;>>>;>>>>>>>>>>>>,>>,>,,,,,,,,,,,'''','''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>;>;>>;>;>;>>;>>;>;>>;>;>>>>;>;>>>>>;>>;>>;;>;;>>>>>>;>>;>>>>;>>>>;>;>;>>>>>;>;>>>>>>>>>>>>;>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>,>>,>,>,>,>>>>>,>>>,>>,>>,>>,>,>,>>,,>>,>,>>,>,>,>,>,>>,>,>,>,>,>,>,>,>,>,>,,>,,>,,>,>,>,,,>>,>,,>,,>,,,>,>,,>,,>,,>,>,,,,>,,,>,>,,,,,,,,,,>,>,,,,,,,,>,,,,,,,,,>,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,,',,',',',',,,,',,',,,',,,',,,,',',,,',',',',,,',',',,',',,',',',,,,,,,,,,,,,,,,,,,,,,>,>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>,>>>>>>,>>,>>,>,,,,,,,,,,,,,,,',,','',','''''''''''''''''''''''''''''''''''''''''''''''''''''''",
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-">>;>;>;>;;>>>;;>;>>;>;>;>>>;>;>>;>>;>;>>;>>>;>;>;>>>>>;>>;>>>>;>>>;>>;>>;>>>;>>>;>>>>;>>>;>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>,>>>,>>>>>>>>>>>>>>,>>>>>>,>>>>,>,>,>,>,>>>>,>>,>,>>,>>,>>>,>>,>>,>,>,,>>,>>,>,>,>,>,>>,>,>,>,>,>,>,>,>,>,>,>,>,,>,>,>,,,,>,>,>,,>,,,>,>,,>>,,,>,,,>,,,,,>,,,>,>,,,,,,,,>,,>,,,,,>,,,,>,,,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,',,',,',,,,,',,,,,,,',,',',',,,,,,,,,',,,,',',,,',',,','',,'',',,',',,',',',,',',',,',',',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,',,',',,','','',''''','',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>;>;>;>>;>;>>;>;;>;>>>;>;>>;>;>;>>;>>;>>;>;>>;>>;>;>>>>>>;>>>>;>>>>>>>>>>>>>>;>>>>>>>>>>>>;>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>,>>>,>>>>,>>>>>>,>>>>>,>>>>>>>>>>>>,>>>,>>>,>>>,>>,>>,>,>,>>,>>>>,>,>,>>,>,>,>,>,>>,>,>,>,>,>,>,>,,>,,>,,>,>,>,,>>,>,,>,,>,,>,,>,,>,,,>,,,>,,,>,>,,,>,,,,,,>,,>,,,,,,,,>,,,,,>,,,,>,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,',,,,,,,,,,,,,,,,,,,,',,',,,,,,,,,',',',',,,',',,,',',,,',,',,,',,,,',,',,',',',',',',,'',,,',,'',''','',,','',',',',',,,,,',,,,,,,',,,,',',',,,,'',,',,',,,',',',',,',,,'''','','','''','''',''','''''''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
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-">;>>;>;>;>>;>;>;>;>>;>;>>;>;>;>;>>;>>>;>>;;>;>>;>>>>>>;>>;>>>>>>>>>>>>>>>>>>>>>>>>>>;>>;>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>,>>>>>>>>,>,>>>>,>>>,>>>>>>>>>>>>>,>>>,>,>,>>,>>>,>>,,>,>>,>,>>,>>>,>,,>,>,>,>>>>,>,>,>,>,>,>,>,>,>,>,>,>>,>,,>,,>,,>,>,>,>,,>,,>,>,,,>,,>,,,>,>,,,>,,,,,>,,,,,,,,,,,>,,,>,,,,>,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,',,',,',,,,,,,,,,,',,,,,,,,,,,',',',,,,,',',,',',,',,,',',',',',,,',',',',,',',',,',',,',,'','','',',','','''','',,',',',,',','',',','',','''',',',',',''''',',''',''''','','',''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>;>;>;>;>;>;>;>>;;>>;>;>>;>>>;>;>>;;>>;>>>>>;>>>;>;>>>>>>>>;>;>;>;>>;>;>>;>;>>;>>>>>>>>;>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>,>>>>>>>>>,>>>>>>>,>>>>>>,>>,>,>,>,>,>>>,>>>>>>,>,>,>>,>>>,>>,>>>,>>,,>>,>>>,>,>>,,,,>,>,>,>,>,>,>,>,,,>,>,>,,,>,>,>,,>,,>,,>,,>,,,,>,,,>,,,,,,>,,,,,>,,,,>,,,>,,>,,>,>,,,,,,,,>,,,>,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,',',',',,,,,,',',',',,,,,,,',',,',,',,,',,',',,',,',,,',',,,',',',,',,,'',','','',',',','',',','',,,'',''',''',''''''',''','',''',','',''''''''',''''','''','''''''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>;>;>;>;>;>;>>;;>;>;>>;>;>;;>>>;>;>>;>>;>;;>>;>>;>>;>;>;>;>>>>>>>>>>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>>>>>>>,>>>>>,>>>>>>,>>>>,>>>>>>>>>>,>>>,>,>,>>>>>,>>>,,>>,>,>,>>,>>,,>>,,>,>,>,>>>,>,>,>,>,>,>,>,,>>,,,>,>,>,>,>,,>,>,>,>,,>,,>,>,,>,>,>,>,>,,,>,>,,,>,,,,>,,,,,,,,,,,,,>,,,,,,,,,,>,,,,>,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,',,',,,',,,,,,,,,,,,,,',',,,,,,,,,',',',,,,',,,',,',,,',',,',,',,'',,','',',,,'',','',,',',',,',',',',,',''',,'''',',','',,'',',,','','',''',''''''''',',',''''',''''','''','''''''''''''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>;>;>;>;>;>;;>>>>;>>;>>>;>>;>;>>>>;>>;>>>>>;>;>>>;>>>>>>>;>>;>>;>;>>;>>;>>;>>>>>>;>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>,>>,>>>>>,>>>,>>,>>>,>>>>,>,>,>,>,>>>,>>,>>>,>,>>,>,>>>,>>,>>,>,>,>>,>,>>,>,>,>,>,>,>,>,>,>,>,,>,>,,>,>,,>,>,,>,,>,,,>,,,>,,>,>,,,>,,,,,>,,,,>,,,,,>,,,>,,,,>,,>,,>,,>,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,',,,',,,,,',,',',',,,,,,,',,',',,',',',,,,',,',,',,,,',',,',',',,',',,',',',',',,','','',',,''',,',''',',''',',''',''','',',''',',',','''''',',''''','''''''','',''',''''''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>;>;>;>>>;>>;>;;>>;>;;>;>;>;>;>;>>>;>>;;>;>>>>;>>>>;>;>;>>;>>>>>>>;>>;>>>>>>;>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>,>,>>>>>>>>>>>>>>>,>>>>>>>,>>>>>>>>>>>>,>>,>>,>>,>>,>>>>,,>>,>>,>>,>>>,>,>,>,>>,>>>,>,>,>,>,>,>,>>,>,>,>>,>,>,,>,,>,>,>,,>,>,>,,,,,>,>,,>,>,,>,>,,,>,>,,>,,,,>,,,,,,,,,,,,,,,,>,,>,,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,',,,',,,,,,,,,,,,,',,,',,,',,,,',,,',,,,',,,,,,,',',',,',,,',,,,,,','',',',',,'',',,',,',',',,',','',',',','',',,','','',,,''',',,''',','','','',',''''',','''''''',',''''''',''''','','''''''','''','''',''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>;>;>;>;>;>;;>;>>;;>>>>;>>>;>>;>>;;>>;>>>>;>;>>>;>;>>;>>>>>>;>>;>>>>>>>>;>>>>>>;>>>>>>>>>>>;>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>,>>>>>,>>,>>>,>,>,>,>,>,>>,>>,>>,>>,>>,>,>>>,>,>,>,>>,>,>,>,>>,>,>,>,>,>,>,>,>,>,>,>,,>,>,,>,>,>,>,>,,,>,>,,>,,,>,>,>,,,,>,,,>,,,,,>,,,,,,,,>,,,,,>,,>,,>,>,,>,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,',,,,,,,,,,,,',,,,,,,',,,,,',',',,,,,,,,,',,',',',',,,,',,,',',,,',',',',',',',,',',,',',',',,',''',',','''',',''',',','','',''',''',',',''''',',','''','','''',','''''''''''''''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>;>;>>;;>;>>>;>;>>>;;;>>;;>;>>;>>>>;>>;>;>>>>;>>>>>;>>>;>;>>>>>>;>;>>>>>>>;>>>>>>;>>>>;>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>,>>>>>,>>,>>>>,>>>,>>>>>>>>>>>>>>>>>>>>>>>>,>>,>>,>>,>>>,>,>>>,>>>,>,>>,>>>,,>>,>,>,>,>,>,>,>,>,>,>,>,>,,>,>,,>,>,,>,>,,,>,>,>>,,>,,,>,>,,>,,,>,>,,,>,>,>,>,,,>,,,,,,,,,,,,,,,,,>,,,>,,,>,,>,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,',,,,,',,,,',,',,,,',',,,,,,',',',',,',,,,',,,,',',,'',,,',',,,',',',,',,'',','',',',','',',',',','',,,',',','',''',','',','',''',''',',''''''',','''''','''''',''''','',''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";;>>;>;>>;>;;;>;>;>;>>>;>>>;>;>>;>;>>;>>;>>;;>>>;>;>>>;>>>>>>>;>>>>>>;>;>>>>;>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>,>>>>>>>>>>>>,>>>,>>,>>,>>,>,>,>,>,>,>,>>>,>>,>>,>>,>>,>>,,>>,>,>>,>,>,,>>,>,>,>,>,>,>,>,>,>,>,>,>,>,>,,>,>,,>,>,,>,>>,>,,,,,>,,,>,,>,,>,,>,,,,,>,,,,,,,,>,,,,,>,>,>,>,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,',,,,,',,,,,,,,,,,,,,,',',,,,,,,,',,',',,'',',,,',,,'',,','',,',,',','',,,,',,',',',',',',','',',,''',',''','',,'',',''''','','',','''',',',''''',',''''''',''','''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>;>;>;>;>>>;>;>;>;>;>;>;>>>;>;>>;>>>;>>;>>>;>>;>>;>>>;>;>>;>>>;>>;>>>>>;>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>,>>>>>,>>,>>,>>>,>,>>,>>,>>>,>,>,>>,>,>,>,>,>,>,>,>,>,,>,,>>,>,>>,>,,>,,,,,,>,>>,,,>,>,>,,>,,>,>,>,>,,,>,>,>,,,,>,,,,,,,,,,,>,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,',,,',,,,,',,,,,,,,,,,,,,,,',,',,',',,',,,,,',',',',,',,,',,,,,',',',',,,',,,,,','',,',,,,''',',',',',',',','',,',''',',''',,'',''',''',',','','','''',','''''',','''''',',',''',''''''''''''''''''''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>;>;>;>;>;;>>;>;>>;>>;>;>;>;>>>;>>;;>>>;>>;>>;>>>>>>;>>>>;>>;>>>>>>>;>>>>>>>>>>>;>>>>>;>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>,>>,>>,>>>>>>>,>>,>>,>>,>,>,>,>,>,>,>,>>,>,>>,>,>>,>>,>>,,>>,>,>>,>>,,>,>>,>,>>,>>,>,>,>,>,>,>,>,>,>,,>,,>,,,>,>,>>,>>,,>,,>,>,,,,,>,,>,,,,,,,,,>,,,,,,,>,,,>,,,>,,,>,,,>,,,,,,,,,,>,,>,,,>,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,',,',,,,,,,,,,,',,',',,,,,,,,,',,,',,,',',,',,',,'',,'','',,,',','''',,,',',',',',',',',''',',,','',,''','',,'',,'',''','','',',''''',',''''','','''''''''''','','','''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>;>;>;>;>>;;>>>;>>;>;>>;>>;>;>>>;>>>;;>>;>>>>>;>;>;>>;>;>>>>>>;>>;>>>>;>>>>>;>>>>>>;>>>>>>>>>>;>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>,>,>>>>>,>>>>>>>>>>>>>>>>>>>,>>>>,>,>>,>>,>>,>>>,>>>,>,>,>>,>,>,>,>,>,>,>,>,>,>,>,>,>,,>,>,>,>,>,>,>,,,,,>,,>,,>,,,>,>,>,,>,,>,>,>,>,,,>,>,>,,,,,,,,>,,,>,,,,,,,,>,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,',,,,',,,,,,,,',',',,,,,,',,,,',',',',,,',',',,',,',,',,',,,',,',,',',',',,,,,'',',',',',',',',',,'','','','',','',''',''','',''','',''',',','''',',''''''',''','','''''''''''',''''',''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>>;>;>;>>;>>;;>;>;>>;>;>;>>;>;>;>>;>>>>;>>;>;>>>>>>;>>>>>>>>;>>>>>>;>>>>>;>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>>>>>>>,>>>>,>>>>>>>,>>>>>,>>,>,>,>,>,>,>,>>,>,>>>>,>>,>>,>>,,>>,,>>,>>>,,>>,>>,>,>,>,>,>,>,>,>,>,>,>>,,>,,>,>,>,>,,>>,>,,>,>,,>>,,>,,,>,,,>,,,,,,,,>,,,,,,,>,>,>,,,,,,,,>,,,,,,,>,,,,,,,,,>,,,,,,,,,,,>,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,',,,,,,,,,',,',',,,,,,,,',',,,,,',,,,,,,,',',,,,,',,',,',,',,',',,',,',',',','','',,',',',',',',',','',,'',',,','',','',,'',',''',','',''','''''''',''''','',''',''''''''''''''',''''','''''''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>;>;>>;;>;>>;>>;>;>>;>>;>;>>>;>;>>;>;>>;>>>>;>;>;>>;>;>>;>>>>;>>>>>>;>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>,>>>>>>>>,>>>>>>,>>>>>,>>>>,>>>>>>>>>>>>>>,>>>,>,>>>,>>,>>,>>>,>>>,>>,,>>>,>,>,>>,>>>,>,>,>,>,>,>,>,,>,>,>,>,,>,,>,>,,>,>,,,>,,,,>,,>,,,>,,,>,>,>,>,,,>,>,,,,,,,,,>,,>,,,,,>,,>,,,,>,,,>,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,',,,',,,,,,,,,,,,',,,,,,,,,,,',,,',,,,,',',,,',',',,,,,',',',,,,,',,',',',,',',',',,,',,,,',,,',',',',',',',','','',',','',',''',,''',','',','',''',','',',',''',',''',''''''','',','','','''''''''''''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>;>;>;;>>;>;>>;>>;>>;>>;>;>>;>>;>>;>>>;>>;>;>>;>>>>>>>>;>>>;>>>;>>;>>>>>>>;>>>>>>>;>>;>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>,>>>>>>>>>,>>>,>,>>>>,>>>>>,>,>,>,>,>,>>>,>>,>>,>>,>>>,>,>,>,>,>,>>>,,,>,>>,>,>,>,,>,>,>,>,>,>,>,>,>,>,>,>,>,>,,,>,,>,>,>,>,>,,>,,>,>,>,>,,,,,,,,>,,,,,>,,>,,>,,,,,>,,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,',,',,,',,,,,',,,,,,',,,,',,',',,,,',,',',,',,,',,',,',,,',',','',',''',',',',',',',',',',',',',','',',,''',,'','',''','',',''',''''''','''','''','','''''''''''''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>>;>>>;>;>;;>;>;>>;>;>;>>;>>;>>>;>>;;>>;>>>>>>>;>;>;>;>>>>>>;>>>;>>;>>>;>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>,>>>>>,>>>>>>>>>,>>>>,>,>>>>>>>>>>>>,>>,>>>,>>,>>,>,>>,>>>,>,>>,,>>>>,>,>,>,>,>>,>,>,>,>,>,>,>,>,,,>,,>,>,,>,>,,>,,,>,,,>,,,,,>,,,,,>,,>,>,>,,,,>,>,,,>,,,,,,,>,,,,>,,,,,,,,,,,>,,,,,,>,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,',,,,,,,,',,,,,,,,,,,,',,,,,',',,,',,,,,,',,',',,',',,',,'',,',,',,'',,',',,,',',,,',',',',',',',',',',',''',',,''''','''','','',''','''','',',',',''',''',''''''','','''',''''',''''','''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;;>;;>;>;>>;>>;>;;>>;>>;>>;>>;;>>;>>>>;>>;>;>;>>>>>>>>>;>;>>>>>>>>>>;>>>>>>>;>>>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>,>>>>>>,>>>,>>>>,>>>>>>,>,>,>,>>,>>,>>>,>>,>>>>>,>>,>,>,>>>,>>>,,>,>,>,>,>,>,,>,>,>,>,>,>,>,>,>,>,>,,>,>>,>,>,,>>,,>>,,>>,>,,,>,>,,,>,,,,,>,>,,,,>,,,,>,,>,,,,,,,,,>,,>,,>,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,',,,,,,,',,',,',,,',,',,,,',,,',',',,,',,,',,,,',,',,,',',',',,,'',',',',',',',',',',',',',','','',',,'','',',,',',,',','','','',','',''''''''','','''','',''''''','''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>;>>;>;>;>;>;>>>>>;>;>;>;>>;>>>;>>;>;>>;>>>;>>>;>;>;>>>>>>>;>;>>>;>>>>>>>;>>>>>>;>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>,>>>>>>>>>>>>>>,>>>,>>>>,>>,>>>>>>>>,>>,>>,>,>,>>,>,>>,>,>>,>>,,>>,>,>>,>>,>>>,>,>>,>,>,>,>,>,>,>,,>,>,,>>,>,,,,>,,>,,,>,,,>,,,,>,>,,>,>,,,>,>,,,,,>,>,,>,,,,,,,>,,>,>,,,,,,,,,,,,,,>,,>,,,,,,,,>,,,,,>,,,,,,,,,,,,,,,,',,,',,,,,,,,,,,,,,,,',,,',,,,,',,,,,,',,',',,',,,,,,,',',,',,',',,',,',,',,,',,',,,',,',',,',',',',',',',',',',',',','',',',','''',''','',''','',''',''',',',','''''','''''''',','''''''''',''','''''','''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>;>;>;>;>;>;>;;;>;>;>>;>>;>>;>;>>;>>>;>>>;>>>;>>;>>>;>;>>;>>>>;>>>>>>>;>>>>>>;>>>>;>>>;>>>>>>>>>>>>>>>>>>>>>>>,>>>,>>>>>>>>>>>>>,>>>>,>>,>>,>>>>>>>>,>>>,>>>>,>,>,>>>>>>,>>>>>,>>,>,>>,>>,>,>>>,,>>,>,>,>>,,>>,>,>,>,>,>,>,>,>,>,>,>,>,,,>,,>>,,>,,>,>,>,>,,>,>,,,>,,>,,>,,,,,>,>,,,,,,,,,>,>,,,,,,,,,,,,,,>,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,',,,,',,,,,,,,,,',,,,,,',,,,,,,,,,,,,,',',',,,,',,',,,',,',',',',',,','',',',',',,',,',',',',',',',','',',',','',''',,','','','',,'','','',',''''''''',',''','',','''''','','''''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>;>;>;>;>>>;>>>>;>>;>;>;>>;>>>>;>;>;>>;>>>;>>>>>>;>>>>>>>>>>;>>;>>>;>>>>>>>;>>>>>>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>,>>>>>>>>>,>>,>>>>>>>>,>,>>>>>>,>,>,>>,>,>>>,>>>>,>>,>>>,>,>>>,>,>,>,,>>,>,>>,>,>,>,>,>,>,>,,>,,>,>>,>,>,,,>,>,>,,>,,>,>,,,,>,,>,,,>,,>,>,,,,,>,>,>,,>,,,,,>,,>,,>,,>,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,',,,',,,,,,',,',,,',,',',',',',,,,,,',',,',,',,,',,',,',,',',',,,',,',','',',',',',',',',',',',','',',',',','','',','','''','','',''',',',',','''',''''''''','','''''',''''',''''','''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>;>;>;>;;>>;>;;>>;>;>>>;>>>;;>>;>>>;>>>;>>>;>;>>>;>;>>;>;>>>>>>;>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>,>>>>>>,>>,>>,>>>>>,>,>>>>>>>,>>>,>,>>>,>,>,>>,,>>,>,>,>,>>,>>,>,>,>,>,>,>,>,>,>,>,>,>,>,>,,>,,>,>>,,>,,,>,>,>,,,>,>,,>,,,>,,>,,,,,>,>,,,,,,,,,,,>,,,>,,,,,,,,,,,,,,,,>,,>,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,,,,,',',',,',,',,',,',,',,',,',,,,',,',,'',,',,,',',',',',',',',',',',','',',',','','','',',',','',''','',''''''''''',''',',''',''''''',''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>>;>>;>>;>;>>>>;>;>>;;>>;;>>>>>>;;>>;>>>;>>;>>;>>>>>>>>>>>;>>>>>>>>;>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>,>>>>,>>>>>,>>,>>>,>,>>>>>>,>>>,>,>>>>,>,>,>>,>,>>>,>,>>>,>>,>>>,>>>,>>>,,>>,>,>,>>,>,>,>,>,>,>,>,>,>,,>,>,>,>,>,,,>,,>>,,,>,,>,,>,,>,,>,,>,,,>,>,,,,,>,>,>,>,,,,,,,,,,,>,,,,,>,,,,,,,,,,,,>,,,,,,,,>,,,>,,,,,,,,,,,,,,,,,,',,,,,,,,,,',,,,,,,,',,,,',,,',',,',',',',',',',,,,,,,',,',,',,',,',,',,',','',,','',,,',',',',',',',',',',',',''',',','',','','',',','','','''',''','',',',',',''',''''','''','','''',''',''''''''''''',''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>;>;;>>;>;>;>;;>>>;>>>;>>>>;;>;>>>;>>;>>>;>>>>>>;>;>;>>;>>>;>>;>;>>>>>>;>>;>>>>;>>>;>>>;>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>>>>>>,>>>>>>>,>>>>>>>,>>>>>,>>>>>,>>>>>>>,>>>>,>,>>>,>,>>,>,>,>,,>>,,>>,>,>,>>,>,>,>,>,>,>,>,>,>,>,>>,,>,,>,>,>,>,>,,,>,>,,>,>,,>,,>,,>,,,>,,,,,>,>,,,,,,,,>,,>,>,,>,,,,>,,,,>,,>,,,>,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,',,,,',,,',,,,',,,,,,,,,,,,,,,,,,,,,,,,,,,',',,,',,',,',,',,',',',,',,',',,,','',',',,,',',',',',',',',',,'',',','','',','',''','','',',',',''',''''''''',''',',''''',''''''''''''''''','',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>;>>;;>;>>;>;>>;;>>;;>>;>;>>>>;>;>>;>>;>>>;>;>;>>>>>>>>>;>>>;>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>,>>>>>>,>>>>>,>,>>>,>,>>,>,>,>>,>,>>,>>,>>,>>,>,>>,>>>>,>>,>>,>,>>,>,>,>,>,>,>,>,>,>,>,,>,,>,>,>,,>,>,>,,>>,,>,>,,,,>,,>,,>,,>,>,,>,>,,,,>,>,>,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,',,',,',',,,,',,',',',',,,,,',,,',,,,,',,',,',,',,',,,,',',',,',','',',,',',',',',',',''',','',',',','',',',',','',''',''',','',',',',''','''''',','''',''',''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>;>>;>>;>;>>;>>;>>;>>>;>>;>>;;>>>>;>>>>>;>>>;>>>;>>;>>;>>>>>>>>>>>;>>>>>>>>>;>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>,>>>>,>>>>,>>>>>>>,>>>>>,>>>>>>,>>>>>>>>>>>,>>>,>>>,>>,>>>,>>>,>,>,>,>>,>,,>,>,>,>>,>,>,>,>,>,>,>,>,>,>,>,>,>,>,,>,,,>,,,>,,>,>,>,,>,,>,,,>,,,>,,,,,,>,,,,,,,,>,,>,,>,,,,>,,,>,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,',,,,,,,,',,,',,',,,,,,',',,,',,,',',,',,',,,',',,'',',',,',',,,',,',',',',',',',','',,,'',',',',''',',''','',',''','''',''',''''''''',''',',''''''','','''''''''',''''''',''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>;;>;>;>>>;>;>;>;>;;>>>;>>;>>>;;>>>;>;>>>;>>>;>>>;>>>>>>;>>;>>;>>>>>>>>;>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>,>>>>>>,>>>,>>,>>>,>>,>>>,>,>,>,>,>>,>,>>,>>,>>,>,>,,>>>,>>,>,>,>>>>,>,>,>,>>,>,>,>,>,>,>,>,>,>,>,,>,,>>,,>>,,>>,,>,,,>,>,,,>,,>,>,,>,,,>,>,,,>,>,>,,,,,,,,,,>,,,,,>,,,,>,,,,,>,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,',,,,,,,,,,',,,,,,,',,',,,,',,,,,,',',,,,,'',,',',,',,,',,'',',,',,,',,'',,','',',',',',',',',',',',''',,',',','',,'''',,'','''',,'',','','',',',',',''',''''',''','''''','',''','''','''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>>;>>;>;;>>;>>;>>>>;;>>>;>>;>>;>;>>;>>;>>;>>>;>>>>;>>;>>;>>>>>;>>>>;>>>>>>>>>>;>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>,>>>,>>>>>>>>>>>>>>,>>>>>>>>>>>,>>>,>>,>>,>>,>>>>,,>>>,>>>,>,,,>>,>,>>,>,>,>,>,>,>,>,>,,>,,>,>,>,>,,>,,,>,,,>,,>,>,,,,>,,,>,,,>,,,>,,,,,>,,,,,,>,,>,,>,,,,,>,,,,,>,,,,,,,,,>,,>,,>,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,',,',,,,,,,,',,',,,,,,,',,,,',',',,,,',',,,,',,,',,,',,,',,,,',,',',',,',',',,,',,',',',',',',',',',,''',''',',''',,,''',',',,'''',''','',''''''''''','''',''','''''',''''''''''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>;>;;>>>;>;>;>;>;;>>>;;>>;>>>>>>;>>>;>>;>>;>>>;>>>>;>>>>>>>;>>>>>;>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>>>>,>>,>>>,>>>>>>>,>,>>,>,>,>,>>,>,>,>,>,>>>,>>>,>>,>>,>>,,>>>>,,>,>,>,>>>,>,>>,,>,>,>,>,>,>,>,>,>>,,>,>,>,>,>,>,>>,,>>,,>,>,>,>,>,>,,,>,,>,>,,,>,>,,,>,>,,,>,,>,,>,>,,,,>,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,',,,,,,,,,,,,,',,,,,,,,,',,',,,,,,,,,,,,,,',,',,,',',,',,'',,',',',',',',,',,',',',,'',',',',',',',',',',''',,,'',,',',','''',',''','',','',''','',',',',',''',',''''''','',''''',''','''',''''''''''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>;>;>>;>;>>>;>>>;>>>;>>>>;>>;;>;>>>;>>>>>>>>>;>>;>>>>>>;>>;>>>>;>>>>>;>>;>>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>,>>,>>>>>>>>>>>>>>>>>>>>>>>>>,>,>>,>>,>>,>>,>>>,,>,>>>,>>,>,>,>,>,>>>,>,>,>,>,>,>,>,>,,>>,,>,,>,,>,>,,,>,,,>,,>,,,>,,,,>,>,,>,,,,,>,,,,,>,,,,>,,,,,,,,,,,,>,,,,,,>,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,',',,,,,,',,',',',',',',,,,,,',,,',,',,,,',,,',',,',,',,',,',','',,',',',',',',',',',',,'''',,'',',','',',''',,''',''',',','',''''''''''',''''','','''''''','''''''',''''''',''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>;>;>;>>;>;>;>;>;>;>>;>;>>;>>>>;>;>>>;>;>;>;>>>>>;>;>>>>>>>>;>>>>>>>>>>>>>>>>;>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>,>>>,>>>>>>>,>>>>>>,>>>>>>>>,>>,>,>>>,>,>,>,>,>,>,>>>>,>>,>>>,>>,>>,,>>>,>,>>>,>>>,>,>>,>,,>>>,>,>,>,>,>,>,>,>,,>,>,>,>,>,,>>,,>>,,>,,>,>,,>,,,,>,,,>,>,,>,>,>,,,>,,,,>,,,>,,,,>,,,,,,,,,,>,,,,>,,>,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,',,',,,,,,,,,,,',',,,,,,,,,,,,,,,,',',',,',,,',,',',,',',,',,,',',',',',,,,',,',,,',',',',',',','',,',''',',','',',',',''',,'','''''',''',',',',',''',','''''','','','''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>;>;>;>;>>;>;>;>;>;>>;>>;>>;>;>>>;>;>>>>>>>;>;>>>>>;>>;>;>>>>>>>;>>>;>>>;>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>,>>,>>>>>>>>,>>>>>>>>,>>>>>>>>>>>>>>>,>,>>,>>>,>>>>>,>>>>,>>,>,,>>,,,>>,>,>,>>,,,>,>,>,>,>,>,>,,>,>,,>,,>,>,>,,,>,,,>,,>>,,,>,,>,>,,>,>,,,>,,,,,,,>,,,>,,,>,,,,>,,,,,>,,,,,,,,,,,,,,,,,,,>,,,>,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,,,,',,,,,,,',,,,,,,,',,',',',',',,,,,,,',,',,,',,,',,',,',',',,',,',,,''',',',''',',',',',',','','',',,,',''','','','',,'''','',,','',',''''''''',''''','','''''''''''',''''''''','''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>;>>>;>>;>;>>>;>>>;>>>;>>;>;>>;>>>>>;>;>;>>>>>>;>>>>>>>>>>;>>>;>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>,>>>>>>>>>>>>>,>>>>,>,>>>>>>,>,>,>,>,>,>,>>>,>>>,>,>,>,>,>,,>,>,>>>>>,>>>>,>,>,>,>,>>,>,>,>,>,>,>,>>,>,>>,>,>,,>,>,>,>,>,,>,,,>,,>,,>,,>,,,>,>,,,>,>,>,,,>,,,,,,,>,,,,,>,,,,>,,>,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,',,,,,,,,,,,',,',,,,',,',',,,,,,,,,,,,,',',',,,',,',,,',,,',,',,,',',,,',''',,,,',',,,,',',',',',',',,',','''''',',','','','''',,''','''','','',',',',''',',''''''',','','','''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>;>;;>;>;>>;>;>;>;>>;;>>>;>>>;>>>;>;>>;>>>;>;>;>>>>;>;>>;>>>;>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>,>>>>,>>>>>,>>>,>>>>>>>>>>>>>>>,>>,>,>>>>,>>>,>>>>>>,>,,>,>,>,,>,>,>>,>>,>,>,>,>,>,>,>,,>,,>,,,>,>,>,,>,,>,,>,>,>,>,>,,>,,,>,,>,,,,,>,,,,,,,>,,,>,,>,,,,,>,,,,,,,,,,,,,>,,,,>,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,',',,,,,,,,,,',,,,,,,,,',,',',',',,,,,',,',,',',',,',',',,'',,',',',,,,,'',',','',',',',',',',',',',',',,,',',',','',',',,'',','',','','',''''''''',''''','',''''','''''''''',''''''','''''',''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>;>>>;>>;>>;>;>>>;>>>>;;>>;>>>;>>>>>>>>;>>>>>>>>;>>>>>;>>;>>>>>>>>>;>>>>>>;>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>,>>,>>>>>>>>,>>>>,>>>>>,>>>,>,>,>,>,>,>,>>,>>>,>,>>>,>>,>,,,>,>>>>,>>,>>,>>>,>,>,>,>,>,>,>,>,>,>>,,>,>,>>,,>,>,>,>,,>,,,>,,>,,,>,,>,,,>,>,>,>,,,>,>,,,,>,,,,,,>,,>,,,>,,>,,,,,,,,,,,,,,,,,,,,,,,,,,>,,>,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,',,,,,',,,',,',,,,,,,,,,,,,,',',,,',,',,,,,',,',,,',',,',,,',','',',,',,',,',',',',',',',''',','','',',',''',',''','',''','','','''',',',','''',','''''',''''''',''',',''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>;;>>;;>;>>;>;;>>;>;>>>>;>;>;>;>;>;>;>>>;>;>;>>>>;>>>>>>>>>>>>>>>>>;>>;>>>>;>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>>>>,>>>>>,>>>,>>>>>>>>>>>>>>>,>>>,>>>>,>,>>,>>>>,>>,>,>>,>,>,>,,>,>>,>,>,>,>,>,>,>,>,,>>,>,>,>,>,>,>,,,>,,>>,,>,,>>,,,,>,>,,,,>,,,,>,,,>,>,,,>,,>,,,,,,,,,,,,,,>,,>,,,,,,,,>,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,',,',',',',',,,,',,,',,'',',,',,',',,,,',',',,,',,',',',',',',',',',',',',,','',','',',',',','',',','',','','','',','''''''',','''','',''','',','','''''','''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
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-">;;>;>>;>;>>;>;;>>;;>>;>>>;>;>>>;>>>>;>>>;>;>>>>;>>;>>>>>>;>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>,>>>>>>,>>>>,>>,>>>>>>>>>>>,>>>>,>>,>>,>>>>>>>>>>>>,>,>>,>>>>>>,>>>,>,>,>>,>>,>>,>,>,>>,>,>,>,>>,>,>,>,>,>,>,,>>,,>>,>,>,>,>,,,>,,,>,,>,>,>,,>,,>,,>,,>,,,,,>,,,>,,,>,>,>,,,,,,,,,,,,>,,,,,,,,,,,>,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,',,,,,,,,,',,',,',',',',',,,',,,',,,',',,',,',,,,',,',,',,,,',',',',',,',',',',',',',','','',',',',','',''','',,'',,''',''''','''''''''''',''',','','','','','''''''''''''''''''''',''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>;>>;>;>;>>;>>>;>>>;>>;>>>;>;>>>;>;>>;>>;>>;>>>>;>>>>;>;>>>>>>>>>>>;>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>>>,>>>>,>>>,>>>>>>>>>,>,>,>,>,>,>>>,>>,>,>,>>,>,>>>,>>,>,>>,>>,>,>>,>,>>>,>,,>,>,>,>,>,>,>,>,,>,,>,>,,,>,,>,,>,>,,>,,,>,,>,,>,,>,,>,,>,>,,,,>,,>,,,,,,,,>,,>,>,,,>,,,,>,,>,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,',,,,,,,,,,,,,',',,',,,,,,',,,,,,,,,,',,,',,',',,,',,,',,'',,,',,',',',',,',',,,',',',',',',',',',',',,',''',',',',',,'',''',''',',',',''',',',',',',''','''''''''','''''','',''''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>;>;>>>;>;>>;;>>>;>>;>>;;>>>>>;>>>>>>>;>>>>>;>>>>>>;>>>>>>>>;>>>;>>>>>;>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>,>>>>>,>>>>>>>>>,>>,>,>>>>>>>>>>>>>>>>,>>>>,>>,>>>,>,>>,>>,>,>,>>,>,>,>>,,,>>>,>,>,>,>,>,>,>,>,>,>,,>,>>,>,>,>,,>,>,,>>,,>,,>,,>,,,,,>,,,,>,>,,,,,,,>,,>,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,',,',,,,',,,,,,,',,,,',,,,,,',',',',,,',,,',,,',',,',,',,,',',',,',',,',',',',',',,',',',',',',',',''',',',','',''''','',',',',''''','','','''''''''','''',',',''''''','''''',','','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>>;>;>;>;>>>;>;>>;>>;>>>;>;;>>>;;>;>>>;>;>>>>;>;>>>>;>>>;>>>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>,>>>>>>>>>,>>,>>,>>>>>>>>,>,>,>,>,>,>,>>>,,>>>,>>,>,>>,>,>,>>>,>>,>,>,>,>,>>>,,>,>,>,>,>,>,>,>,>,>,>>,>,,>,,>,,>,>,,>,>,,>,,,>,,,>,>>,,>,>,,,,,>,>,>,,,,,,,>,,>,,,,,,,,>,,,>,,,>,,>,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,',,,,,,,,',,,,,',,,,,,,',,,',,',,,,,,,,,',,,',,',,,,,',,',,'',',,,',,',,',',',,',',,'',',',',',',',',',',',',','',',',,',',',''','',',''','','',',',','''',','''''',','',''''',''''''''',''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
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-">;>;>>;;>>>>;>>;>>;>>;>>>>;>;>>>>>>>;>>>;>;>>>>>;>>>>;>>>>>;>>>>>;>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>,>>>>>>>>>,>,>,>,>,>,>>>>,>,>>>>,>>,>,>,>>,,>>>,>>>,,>,>>>,>,>,>>,>,>,>,>,>,>,>,,>,>,>,>,>,,>,>,,,>>,,>,,>,,,>,>,>,>,>,,>,>,,,,,>,>,>,,,,,,,,>,>,,,,,,,>,,,,,,,>,,,>,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,',,',,,,,',,,,,,,,,,',,',',',,,,,,,,,,',,',,',,,,,',,',,','',,,,',,',',,',',',','',',',',',',',',',','',','','','','','',,','','',''','',''',',',','''',',''''','','',''''''''','','''''',''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>;>;>>>;;;>>;>>;>>>;>>;>;>>>>;>;>;>>>;>>>>>>;>>>>;>>>>>;>>>>>;>>>>>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>,>>,>>,>,>>,>>>>>>>>>,>>,>>>>,>>>,>,>>>>>>>>>>>>>,>,>>>,>,>>>,>>>,>,>>>,,>>,>,>>,>,,>>,>,>,,>,>,>,>,>,>,>,>>,>,>,>,>,>>,,,>>,,,>,,>,>,>,,>,,,>,,,>,,,,,>,>,,,,,,,,>,,>,,,,,,>,,>,,,,,,,>,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,',',,',',,,,,,,,,,',',',',',,,,,,',,',',,',,',',,,',',',',,,'',',',,,',,',',',',',',',',',',,',',',',',',',',''''','',''','',''',''''''''',''''','',''''''''','''',''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
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-">;;>>>;>;>;>;>>;>>>>;>>>;>>>>;>;>;>>>;>>>>>;>>>>;>>>>>>>>>;>>>>;>>;>>;>>>>>>;>>>>>>>>>>>>>>>>>>>>>,>>,>>>>>>>>>>>>>>>,>>,>>>>>>,>,>>>>,>>>>,>,>>>>>>>>>>>>,>,>>,>>,>,>,>>,>,>,>>,>,>>>,>,>,>,>>>,>,>,,>,>,>,>,>,>,>>,>,>,>,>,,>>>,,,>,,,>,,,>>,,>>,>,,>,,>,>,,,,>,>,,,,,,,,,>,>,,,,>,,,,,>,,,>,,,>,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,',,',,,,',,,,,,',,',,,,,,,,',',',',',',,,,,,',,',',,',,',,,',',,',',',',','',,,',',',',',',',',',',',,,',',','',',','',','''',''','',','',''''''''',',''''','',','''''',''''''''','''',''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>;;>;>;>;>>;>>;>;>;>>;>>;>;>>>;>>;>>;>;>>>>>;>>>>;>>;>>>>>>;>>>>>>>>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>,>>>>>>>>>,>>>>>,>>>>>>>>>>,>,>,>,>,>,>>>,>>>,>>>>>,>>>,>>>,>,>>,,>,>>,>,>,>,>>,>>,>,>,>,>,>,>,,>,,>,,>,,>,,,,>,>,>,,>,>,,,>,,,,,>,>,,>,,>,>,,,,,>,>,,>,,,,,,>,,,,>,,,,,>,,,,,,,>,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,',,,,,,,,,',,,,,,,,,',,,,',,,,,,,,',,',,,,,,,,,,,,,,,',',,,',,,,',,',,'',,',',,,',,,',',,',',',',,',',',',',','','''','',',,','',',','',','',,'',''',''',',',',''''',','''''''''',',''',''',''''','''''''''''','',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
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-">;;>;>;>;>;>>;>>;>;>>>>>;>;>>>;>;>>>;>;>>>>>>;>>>>>>>>>>>;>>>>;>>>>>;>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>,>>>>>>>,>>>>>,>>>>>,>>,>>>>>>>,>,>,>,>,>,>>,>>>,>,>>>,>>>>,>>>,,>>>,>,>,>,>>>,>>,>>,,>,>,>,>,>,>,>,>,,>,,>,>,>,,,,>,,>,,,,>,,,>,,>,,>,>,,>,,>,>,,,,,>,>,,,>,>,,,>,,,,,,,,>,,,,,,>,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,',,,,,,,,,,',,,,,,,,,,,,,,,,,,',,,,',,,,',,,',,'',',',',,',',',',,',',,',',',',',',',','','',',',,','','',,',',''','',''',''','''',',',','''',',','''''''''',''','',''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>>;>;>;>>>;>>;>>;>>;>;>>>>>;>>>>>;>>>>>;>;>>>>;>>>;>>>>>>>;>>>>>>>>>>;>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>,>>>>>>>,>>>,>>>>,>,>>>>>>>>>>>>>,>>>,>>,>>,>>>,,>>,,>>>,>,>,>>,>>,,,>,>,>,>>,>,>,>,>,>,>,>,>>,>,,>,>,>>>,,>,>,>>,,>,>,>,,,>,,,>,,,,,,,,>,>,,,,,>,,,,,,,,,,>,,>,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,',,,,,',,,,,,,,,',',,,,',,',',',',',',',,,',,',',,',',,',,,',,,',,',,,',','',,,'',,',',',',',',',',',','','',',,'',''''',','',''',',',''',',''''''''',''''''','','',''','''''''''','','''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>;>>>>;>;>>;>>;>>;>;>>;>;>>>;>;>>>;>;>>>>>>;>>>>;>>>;>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>>,>>>>>>>>,>>>,>>>>>>>,>>>>>,>,>,>,>,>,>>>,>,>>>>,>>,,>>>,>>>,>>,>>>,>,>,>>>,>,>>,>,>,>,>,>,>,>,>,,,,>,,>,>,,,,,,>,>,,,,>,,>,,,,>,,>,>,,>,>,>,>,,,,>,>,,,,>,,>,>,,,,,,,,,,,>,,,,,,,,,,,>,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,',,,,,',,,',',,,,,',,,,,,,,,,,,,,,,,,',,',,,,',,,,',,',',,'',,',,'',',,',,'',,',',,',',',',',',',','',','',''',',',,','',',','',''',','''',',',',''',',''''''''''''''''''''',''''''''''''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>>;;;>>;>;>>;>>;>>;>>;>>>;>>>;>>;>>>>>>>>;>>>>;>>>>>>>>;>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>,>>>>>>,>>>>>>,>>>>,>>,>>>>>,>>>>>>>>>>>>>>,>>>>,>,>>,>>>>,>>,,>,>,>,>,>,>,>,>,>>,>,>,>,>,>,>,>,>,>,>>,>,>>,>,>>>>,>,,>,>,>,>,,>,>,,>,,,,>,,>,,,,,,>,,,,,>,>,,,,,,,>,,>,,>,>,,,>,,>,,,>,,,,>,,,,,>,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,',,,,,,,,,,,,,',,,,',',,',',',',',',,,',,'',,',',,',,',',,,',,',,,,',',',,',',','',',',',',',',',',,'',',',,'',''','',','',',''','''',',''''''''',''''','','',',','','',''''''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>>>>;>>>;>>;>>>;>>;>;>;>>;>>>;>>>;>;>;>>>>;>>>>;>>;>>>>>>;>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>,>>>>>,>>>>>>>,>,>>,>,>,>,>,>,>,>>,>,>>>,>>>,>,>,>,>>>,>>>,>>,>>,>,>,>,>>,>,>,>,>,>,>,>,>,,>,>,,,,>,,,,,>,>,,,>,,,>,>,,>,,>,>,,,>,,>,>,,,,>,>,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,',,,,,',,,,',,,',,,,',,,,,,,',,,,,,,,,,',,',,,,',,,',,,',,,',',',','',',',,'',,',,',,',',',',',',''',''',',','',',','','','','''','',','','',',',',''',',''','',''''''''''''',''','',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>;>;;>;>;>>;>>;>>>;>>>>>>>>>;>>>;>>>>>>>;>>>>;>>>>>>>>>;>>>>>>;>>>>>>>;>>>;>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>>,>>,>>>>>>>>>>>>>>,>>,>>>>>>>>>>>>>>>>>>>>,>>,>>,>>,>,>>>,>>>,>,>,>,>>,>,>,>>,>,>,,>,>,>,>,>,>,>,>,>>,,>,>>,>,>>,>,,,>>,,>>,>,,>,,>,,>,,>,,>,,,,>,>,,,,,,>,>,,,,>,,>,>,,>,,,,,,,,,,>,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,',,,,',,,,',,',,,,',',',',,,',,',',,,',,,',,'',,',,',,,,',,',',,,',',','',',',',',',',,',',,','',',''',','','','',','','',','','''''','','''','''''''''','',''''''''''''''''''',''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>;>>>;>>>;>>;>;>;>>;>;>;>;>>>;>>;>;>>;>>>;>>>>;>>;>>>;>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>,>>>>>>>>>,>>,>>>,>,>>>>>>>>,>>>,>,>,>,>,>,>,>>>,>>,>>,>>>,>,>>,,>>>,>>,>,>,>,>>,>,>>,>>,>,>,>,>,>,>,>,,,>,>,,>,,>,,>,,>>,,,>,,,,>,,,>,,,,,>,,>,,>,>,,,,>,>,>,,,,,>,,,,,,,,,,,,,>,,,,>,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,',,,,',,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,',,,',,,',',',',,',,,',,',,'',,',',,''',',',',,',',',',',','','','',',',',',''',,',',',''',''','''','',','''',''','''','','',''''''',''''','''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>;;>>;>;>>;>>>;>>;>>>>>;>>;>>;>>>>>>>>>>>>;>>>>>>;>>>>>>;>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>>>>>>>>>>>>,>>,>,>>>>,>>>>>>>>>>>>>>>,>>>,>>,>>,>>,>,>>>,,>>,>>,>>>,>,,>,>,>,>,>,>,>,>,>,>,>,>,>,>,>,>,>,,>,>,,,>,>,>,>,>,>,,>>,>,,>,,>,,,,,,>,,,,,,,,>,,,,>,,>,,>,,>,,,,>,,,,,>,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,',,,,',,',',,',',,,,',',',',,,,',,',',,,',,,',,'',',',',,',',,',',,,',',,',',',',',',',',',',',',','',''',,''',''','',',',''','',''''',',''',''',''''''''''',',''''','''','',''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>>>;>;>>;>>;>>>;>>;>;>>>;>>>>>;>;>;>>;>;>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>,>>>>>,>>>>>>>>>>>>,>>>>,>,>,>,>,>,>,>>,>>>,>>,>>,>>>,>,>>>,>>,>>,,>,>>>>,>,>>,>>,>,>,>,>,>,>,>,>,>,>,>,>,>,,>,>,,>,,>,>,,,>,,,,,>,,,>,,>,>,>,,,>,>,>,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,>,,,,,,,>,,,,,,,,,,,,,,,,,',,,,,,,',,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,',,',,,,,,',',,',,,,',,,',,',,,,',,',,',,,'',',',',',,',',',',',',',',',',',','',',',',''','',','',''''',','','',',''''',''','''',','','',''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>>;;>>>>;>>;>;>;>>;>>>>;>>>;>;>>>>>>;>>>>>>;>>;>>>>>>;>>;>>>;>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>,>>,>>,>>,>>>>>,>>>>>>>>>>>>>>,>,>,>>,>>,>>>,>,>>,>,>,>,>,>>>>,,>,>>,>,>,,>,>,>,>,>,>,>,>,>,,,>,,>,>,>,>,>,,>,,>,,>,,>,>,>,,>,,>,,,,,,,>,,,,,,,>,,,,,>,,>,,>,,,>,,,,,>,,,,,>,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,',,',,,',,,,',',,',',,',,,,,,,',',,,,',,',',,,',',,','',,',,',,'',,,',',',,,'',',',',',',',',',',''',','',',',',','','',','',','''','',''''',',''',''','''''''''''''','''''''''',''''''''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
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-">>;>>>;>>>>>>;>>>;>>>;>>>>>;>;>>>;>>>>>>>;>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>>>,>>>>>>>>>>>>,>>>>,>>>>>,>>,>,>,>,>>>>>,>>>,>>,>>>,>>,>,>>,>>,>>>,>,,>>>>,>,>,>,>>,>,>,>,>,>,>,>>,>,>,>>,>,>,,>,>,>,>,>,,>,,>,>,>,,>,,>,,>,>,>,>,>,>,>,,,>,,,,,>,,>,,,,,>,,,>,,,,,>,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,',,,,,,',,,,,,,,,,,,,',,,',,,,,',,,,,,,',,',',',',,,',',',,,',,,',,',',,',',,,',','',,',,','',',,',',',',',',',','',',',','',',',','',''',',',''',''',''''''',''',''',''','''''''''''''''''''',','''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>;>;>>;>;>;>>>;>>>;>>>>;>>>>>>>>>>>;>>>>>>;>>;>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>,>>>>>>>,>>>>>>>>,>>>,>>>>>,>>>>>,>>>>>>>>>>>,>,>>,>,>>,>>>,>>,>,>>>,>,>>,,>>,>>,,,,>,>>,>,>,>,>,>,>,>,>,>,,,>,,>,,,,>,>,>,,>,,,,>,>,,>,,,,,>,,>,,,>,,,,,,,,,,,,,>,,,,,>,,,,,,,>,,,,,,,,,>,,,,,,>,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,',,,,,,,,,,,',,,,,',,,,,',',,,,,,,,,,,,',,,',,,,',,',',,',,,',,',',',,',,',',',,',,,'',',',',',',','',','',',',','',',''','',,''''',',''','''',',''',''',''''''','',','','''''',''''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>;>>;>>>;>;>>>;>>;>;>>;>>;>>;>>;>>>>;>>>>>>>>;>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>,>>>>>>,>>>>,>,>,>,>,>>>>,>>>,>>,>,>>,>>>>,,>>>,>,>>,>>,>>>>>>,>,>>,>,>,>,>,>,>,>,>,>,>,>,>>>,>,,,>,,>,>>,,,>,>,>,>,,,>,,>,>,,>,>,>,>,>,>,,,>,>,,,>,>,,,,,>,,,>,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,',,',,',,,,,',',,,',,,,,,,',',',',',,,',,,',',,',,,,',',',,',,,',',',',',',,',',',,',',',',',',',','',,',',''',',''',,'',''',','''',','',','''',''',''',',','''''''''''',',''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>;>;>>>;>>>>>;>>;>>>>>>>>>>;>>>>>>;>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>,>>>>>>>>>>,>>>>,>,>>>>>,>>>>>>>>>>>>,>>>,>>,>>,>>,>>,,>>>,>,>>>,>>,,>,>,,>,>,>,,>,>,>,>,>,>,>,>,>,>,,>,,,,>,>>,,>,>,,>,>,,>,,,,>,>,,,>,,,>,,,,,,,,,,,,>,,,,,,,,,,,,,>,,,,,,,,,,>,,>,,,>,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,',,,,,,,,,,',,,',',,,',,',',,',,',',',',,,',',,',,'',',','',',',',',',','',','''',',,','',,''',',','',',','','',''',',''',''',''''''','','',',''''''','''','''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>>>>;>>>;>;>>;>>>;>>;>>;>>>>>;>>>>>>>>>;>>>;>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>,>>>>>>>,>>,>>>,>>>>>>,>,>>>,>,>,>,>,>>>,>,>>>>,>>,>>,>>>,,>>,>,,>>,>>,>,>>,>,>,>>>,>,>,>,>,>,>,>,>,,>,>,>>,,>,,,>,>,,,>,,>,,>,>,,,,>,>,,>,,,>,>,>,>,>,,,,,>,,,>,>,,>,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,',,,,,,,,',,,,,,,,',,,',,',,',',,,,,,,',',',',,,,',,',,',,,',,,',,,',,,',',,'',',',',',,',',,',',',',',',','',',',',,','''','''',',''',',''','','','',''''',''',''','''''''''''''''''''''''''''''''''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>>;;>>>;>>>>;>>>;>>>>>;>>>>;>>>>;>>>>;>>>>>>>>;>>>>>>>;>>>;>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>,>>>>>>>>>>>>>>,>>>>>>,>>>>>>>>>>>,>>>>,>,>>,>>,>>,,>>>>,>>>>,>>,>>,>,>,>>,>,>,>,>,>,>,>,>,>,>,>,>,>,,>,>,>,>,,,>,>,,>,>,,,,>,>,,>,,>,,>,,,,,,,,,,>,>,,,>,,,,,,,,,,>,>,,,,>,,,,,,>,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,',,,,,,,,,,,,,,,',,',',,,,,,,,',',,',,',,',',,',,',',',',,,',,,,,',,',',',,',',',',',',',',',,',',','',',,',',',,''',,'','','','','','',',''',''','''',','','',''','''','''''''','''''''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>>>;>>>;>>>>;>>>;>;>>>>>;>>;>>>>>;>>>>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>,>,>>,>>>,>>>>>,>,>,>,>,>>>,>,>>>,>>>,>>>>>,>,,>>,,>>,>,>,>,>,>,>,>>,>,>,>,>,>,>,>,>,>,>,>,,>,>,>,>,,>>,,,>,>,,>,>>,,,>,,,>,,>,,,>,>,>,>,,,,,,,,,,>,,,>,,>,,,,,,,,,,>,,>,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,',,,,,',,,,,,,,,',',',,',,,,',,,,',',',,,,,,,,,',,',,,,',,',',',,','',',',','',,',,',',',,',',',',',','',''',','','',''',''',''',''','',''''',''''''',''',''',''''''''',''',''','''','',''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>;>;>>;>>;>;>>>;>>>>;>>;>>>>>;>;>>>>>>>;>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>,>>>>>>>>>>>,>>>>>,>>,>,>>>>>>>>>>>>,>>,>>>>>>>>>>>,>>>>,>,>>,>>>,>,>,>>>,>>,>,>>>,>,>,>>,>>,,>,>,>,>,>,>,>,>,>,,,>,>>,>,>,>,>,,,>>,>,,>,>,,,,>,,,>,,>,,,>,,,,,,,,>,>,>,,>,,,>,,,>,,,,,,>,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,',,,,,,,,,,,',,,,,',,,,,,,,',',',',,',,',',,',,,,,',',,,,,,',',',,',',',',',',',',',',',',',',','',',','',,'',,',','',,'',''',','',',',''',''',''','','',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>>>;>>>;>>>>;>>>;>>>>>>>>>;>>>>>>>>;>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>,>>>>>>>>>>>>>>,>>,>,>>,>>>>>>,>,>,>,>,>>>,>,>>>>,>>,>,>>,>>,>>,>>,>>,,>,>>>,,>,>,>>>,>,>,>,>,>,>,>,>,>,>,,,,>,,,>,,>>,,,,,>,>,,>,>,,>,>,,,,>,,>,>,>,>,,,,,,,,,,,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,',,,,,',,,',,',,,,',,,,',',',',,,,,,,,',,',,,',,,','',,,','',',',,',',',',',,,',',',',',',',',',',',',','',,''','''',','''','','','',''','',''',''','''''''''','','''''',''''''','''''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>;>>;>>>;>;>>>;>>>>;>;>;>>>>>;>>;>>>>>>;>>>>>;>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>>>>>>>>>,>,>>>>>>>>>>>>,>>>>,>,>>,>>>>,>>,>,>,>,>>,>>>,>,,>>>,>,>,>,>,>,>,>,>,>,>,>,>,>,>>,>,>>,,>,,,,>>,>,,,>,,>,,>,,,>,>,>,,,,,,,,,>,>,>,>,>,>,,>,>,,>,>,,,,,,>,,>,,,>,>,,,,,,,,,,>,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,',,,,',,,,,,,,,,,,,,,,,,',,,,,,,,,',',',',,,,,',,',',,',,,',',,,',,',',,',,',',''',',',',',',',',',',',',',',''',','',,'',',',''',','',''',''''',''',''',','',',''','',','''','',''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>>;>>;>>>>>;>>>;>>>>>>>>;>>;>>>>>>>>;>>>>;>>>>>>>>;>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>,>>,>>>,>>,>>>>>>>>,>,>,>,>,>,>>,>,>>>,>>,>,>>,>>,>,>>>,>,>,>,>>>,,>,>>,>,>,>,>,>,>,>,>,>,,>,,>,,>,>,,>,>,>>,>,,>,>,>,,,,>,,>,,>,,,,>,>,>,>,,,,,,,,,,,,,,,,,,,,,,,,,>,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,',,,',',,',,',',,,,',',',,,,,,,,,','',,,',,,,',,'',',,',,',,,',',',',,',,,,',',',',',',','',',','','',,'','',''',''',',','''','',','','''',''','''''''''''''''''''''''''''''''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>>;>>>;>;>>>;>>>;>>;>>>>>>>>;>>>;>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>,>>>>>>>>>>>>>>,>>>>>,>,>>,>>>>>>>>>>>>>>>>,>>,>>,>>>>,>>,>>>>,>,>>>,>,>,>,>>,>,>>,>,>,>,>,>,>,>,>,>,,>,>,>,,>,>,,>,,,>,,>,,>,,>,>,,>,,>,,>,>,,,,,,,,,>,>,>,,>,,,>,,>,,>,,,>,,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,',,,,,,,,',,,',,,,,,,,,,,,,,,,,,,,,,',,,,,,',',',',,,,,',',,',',,',,,,,',',',',',',',',',,'',',',',',',',',','',''',',','',',',',',',',''''',','','','''',',''',''',',','',',''','''',''''','',''''''''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>;>>>>>;>;>>;>>>>>;>;>;>>>>>;>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>,>>>>>>,>>,>>>>>>,>>>,>>>>>>>>>,>,>,>,>,>,>,>,>>,>>,>>,>,>>,>,>,,>,>>,,>>>,>,>,>,>>,,>,>,>,>,>,>,>,>,>,>>,>,,>,>,>,>,,>,>,,>,,>,,>,,,>,,,>,,>,,,>,>,>,,>,,,,,,,,,,,>,,,,,,,,>,,,,,,,>,,>,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,',,,',,,',',,',,',,,,',',',,,,,,,,',',,,,',,',,',,'',',',,,',,,',',,,','',,',',',',',',',',',,'',,',',',','''','','','',','''',''','',','''',''',''''''''''''',''',''''','''''''''''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";;>>;>>;>;>>>>>>>>>;>>>>>>>>;>>>>>>>;>>>>>;>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>,>>>>>>>,>>>,>,>>>>>>>>>>>>>>>>>,>>,>>>,>>>,>>>,>>>>>,>>>,,>>,>,>,>,,>>>>,>,>,>,>,>,>,>,>,,>,>,>,>,,>,>,,>,,>,,>,>,,>,,>,>,,>,,,>,,,,,,>,,>,>,>,>,>,,,>,,>,>,,,,,,,>,,,,,,>,,,>,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,',,,,,,,,,,,,',,,,,,,,',',',',,,',',,',,',,',,,',,,'',,'',,','',,',,,',',',',',',',',','',,'',',','',',,'','',',',','',,''','',''''',''',''','',''','','''''''''''''''''','','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>;>>>>;>>;>;>;>;>>>>;>>>;>>>>;>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>,>>>>>>,>>>>>,>,>,>,>,>,>,>>>>,>>,>>,>,>>,>,>,>,,>>,>>>>,>,>>>,>>>,,,>,>,>,>,>,>,>,>,,>,>,>,>,,>,>,>,,>,>,>,,,>>,,>,,,>,,,>,>,,>,>,,,,,,,,,,,,,,,,,,,,,,,,,,,>,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,',,,,',,,,,',,',',',,,,,',',',,,,,,,,,',,,',,,',,,',,'',,'',,,',,,',',,'',,'',',',',',',',',','','','',''',,'','',','','''''',''',','''',',''',''',''',''','''''','','''','''','''''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>>>;>>>>;>>>>>>>>;>>>;>>>>;>>>>>;>>>;>>>>>;>>;>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>,>>>>>>,>>,>>>>>>>>>>,>>,>>>>>>,>>>>>>>>>>>>>>,>,>>>,>>,>>>,>>,>>,>>,>,>,,>,>,>,,>,>,,>>>,>,>,>,>,>,>,>,>>,,>,,>,>>,>,,>,>,,,>,>>,,,,>,,>,,>,>,,,>,,,,>,>,>,>,>,>,,>,,,>,>,,>,>,,,,,,,>,,,,,,,,>,,>,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,',,,,,,',,,,,,,,,,,,,,,,,',,',,,,,,',',',',,',',,,',,,',,',,,',,,'',,',',',,',,'',,,,',',',',',',',',,',',',',','','','',',',',,','',','',',','''',''',''',''''''''',''''''','''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>>;>;>>>>;>;>;>>>>;>>;>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>,>>>>>>>>,>,>>,>>>>>>>,>>,>>>,>,>,>,>,>,>>>>,>,>>,>>,>>>,>>,>>,>>>,>>>,>>,>>,>>,>>,,>,>,>,>,>,>,>,>,,>,>,>,>,,,,>,,>,,>,>,,,,>>,,>,,,>,,,>,>,,>,,,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,>,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,',',,',,,,,,,,,,',',,,,,,,,,,',,,',',',',,',',',,',,,',',,',',',',,','',',',',',',',',''',',','',',',','',''','''','''','',''','',',''',''',''','','',''','',''''''''''','',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>;>>>>;>;>>>>>>>;>>>>>>;>>;>>;>>>>>>>>;>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>,>>>>>>>>>>>>>>>>>>>>>,>,>>>>,>>>,>,>,>,>,>>,,>>,>,>,>>,>,>,>,>>>>,>,>,>,>,>,>,>,>,>,>,,>,>>>,>,,>,>,,,>>,,,>,>,>,,,>,,>,,,,>,>,>,>,>,>,>,,>,,,,,>,,>,,,,>,,,,,,,,,>,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,',,,,,,,,',',,',',,,,,,',',',',,,',',,,',,,',,',,',',',',,',',,',',',',',,',',',',',',',',,','',',,',',''','',,',',,'',','','''',''''''',''','',''','''''','''''''',''',''''''''''''',''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>;>;>>>>;>;>>;>>>;>>>>>>>>>>>>;>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>,>>>>>>,>>>>>>>,>>,>>,>,>,>,>,>,>,>>>>,>,>>,>>>>,>>>,>>,>>>,>>,>>,,>,>,>,>,,>,,>,>,>,>,>,>,>,,>,,,>,>,>,,,,>,>,,,>>,,,>>,,,,,>,>,,>,,>,>,,,,,,,,,,,,,,,,,>,,,,,,,,,>,,,,,,,>,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,',,,,,,,,,,,,,',,,,,,,,,,,,',',',,,,,,,,',,,,,',,,',,',,,',,,',,,',,',',',,',,',,'',',',',',',',','','',','''','',,'','''',''',''',''',','',',',''','''''','''','',''','''''''''''','''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>>>>>;>;>>>>>>>>>>>;>>;>>;>>>>>;>>;>>>>>>>;>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>,>>>>,>>>>>>>>>,>>>>>>,>,>>>>>>,>>>>>>>>,>>>>>>,>,>>>,>>,>,>>>,>>,>>,>,>,>>,>>>,>>,>>,>>,>>,>,>,>,>,>,>,>>,>>>,,>,,>>,>,,,>>,,,>>,,,>,>,>,,,>,,,>,,,>,,>,>,>,>,>,>,,,,,>,,>,>,,,,,,,>,,,,,,,,,,,,,,>,,,>,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,',,,,,,',,,,,,',,,,',,',,',',,,,,,,,',',',',,,',',,,',,',,',',',',',',',,',',',',',',,,',',',',',',',',',',',',,',','',',',','',','','',',''',','''',''',',',''''''''''''''','''','''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>;>;>>>>>;>;>;>>;>>>>>>>;>>>>;>>>>>>>>;>>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>>>>>,>>>>>>,>>>>>>>,>,>>>>,>,>,>>>>,>,>>,>>,>>,>>,>>,>,>,>,>,>>,>>,>,,,>>,>,>,>,>,,>,>,>,>,>,>,>,,,>,,,>,>,>,,>,>>,,,>>,,,>,,,,>,,>,,>,>,,>,,,>,,,,,,,,,,,,>,>,,,,,,,,,,,>,,,,,,,,>,,>,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,',,,,,',,',,,',,,,,,,,,,,,',,',,,,,,,,,,',',,',',',,',,,',,',',,',,,',',',',',','',',',',',',',','','','','',',','',''',','','','','''',''''','''',''''''','',','','',''''','''',''''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>>>>>;>;>>>>>>>>>;>;>;>>>>;>>>>>>>>;>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>,>>>>>,>>>>,>>>,>>>>>>>,>>>>>>>>,>>,>>>>,>>,>>,>>,>>,>>>,>>,>,>>,>>>>>,,>,>,>,>,>>,>,>,>,>,>,>,>,>,,>>,>,,>,>,,,,>>,,,>,>,>,>,,>,,>,,,,>,,,,,,>,>,>,>,>,,,,,,,,>,,>,,>,,,>,,,,>,,,,,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',',',,',,,',,',',',',',,,,,',,,,,',,',',,',,,',,',',,,',,,',',,,',',',',',',',',,',',',',',',',','',,'',','','','',',',',','',',''',',','''''''''''''',''''''''''','''''''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>;>;>>>>;>;>>;>>>>>>>>>;>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>>>>>>>,>>>,>>,>>>>,>,>,>>>>>>,>,>>,>>,>>,>>,>>,,>>,>>>,>,>,,,>,>>>,>>>,>>,>,>,>,>,>,>,>,>,>,>,,>,>,>,,>>,,,,>,,>,>,,,>,,,>,,>,>,,>,>,,,,,,,,,,,,>,,>,,>,,,,,,,,,,,,,,>,,,,,,,,>,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,',,,,,,,,,,',,,,,,,,,,,',,',,,,,,,,,,','',,',',,',,,,',,',',,',',,'',',',',,'',',',',',',',','',',',','','',''',''','','','','''',''''',''''''',''''''',','',','',''''',''''''',''',''''''''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>>>>;>;>>>>;>>>>;>>>;>>>>>>>>;>>>>>;>>>>;>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>,>>>>,>>>,>>>>>>>>>>>,>>>>>>,>,>,>>>>,>>,>>,>>,>>,>>>>,>,>,>,>>>>>,>,>,>,>,>,,>,>,>,>,>,>,>,>,>,>,>,,>,>,>,,,>>,>,>,,>,,>,,>,>,,>,,,>,,,,>,>,>,>,>,>,,,,,,,,,>,,>,>,,,,>,,,,>,,>,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,',,',,',,,,',,,',,',,,,,,,',',',',,,,,,,',,,',,,',,',',,',',,',',,,',',,'',,,,',',',',',',',,',''',',',',',',',,'','','','',',''',',''',',','''',','''''''''''''','''','',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>>>>>>;>>>>>;>>>;>>>>;>>>;>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>,>,>>,>>>>,>>>,>>>>,>,>>,>>>>,>,>,>>>>>>>,>>>,>>,>>>>>,>>,,>,>>,>>>,>,,>,>>,>,>,>,>>,>,>,>,>,>,>,>,>,,>,,>>,>,,>,>>,,,>,,>,,>,>,,,>,,>,,>,,,>,>,,,,,,,,,,,,,>,>,,>,,,,,,,,,>,,,,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,',,,,',,,,,,,,,,,,,,,,,',,,,,,',,',,,,,,,,,',',',,',',,',',',,,',',,',',,',',',',',,''',',',',',',','','',,',',',','','''','',',',','',','','',',''''',','''','','',''',','''''''''''''''''''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>>;>;>>>;>;>>>;>>>>;>>>>>>>>>>;>>>>;>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>,>>>>>>,>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>,>>>>>>>>,>,>,>,>,>>,>>>,>,>>,>>,>>,>>,,>>,>>>,>,>,>,>>>,,>,>,>,>,>,>,>,>,>,>,>,,,>,>,>,,,>,,>,,>,,>,,>,,>,,,,>,>,,,,,,>,>,>,>,>,,,,,,,,,>,,>,,,,,,,,,,,,,,,,>,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,',,',,,,',',,,',,',',',',,,',,,',,',,',,,,,',',,,',,',,',',',',,',',,,',',',',',',',',','',',''',',''',,',','','''','''',''','''',',''''','',''''''','''''',''''''','','''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>;>>;>>>>>>>>>>;>>>;>>;>>>>;>>>;>>>>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>,>>>>,>>>>>,>>,>,>>>,>,>,>,>>>>>>>>>,>>>,>,>>,>>,>>>,>>,>>>,>,>,>,>,>>>,,,>>,>,>,>,>,>,>,>,,>,>,,>,>>,,>,,>,>,>,,>,>,>,,>,,,,>,>,,,>,>,>,,,,,,,,,,,,>,,>,,,,,,,,,>,,,,,>,,>,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,',,,,,,',,',,',,,,,,,,,,,,,,,,,,,,,,,,,',,,',,,',,',,','',',,'',,',,',,,',',,',',',',',',',',',',',',','','',,','',,'''',','',',''',','','',',''''',','''''','','''''','''''',',''''''',''''''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>>>>;>>;>>;>>;>>>>>>>>>>>;>>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>,>>,>>>>,>>>>>>,>>>>>>>>>,>>>>>>>>>,>,>,>,>>,>,>>>,>>,>>,,>,>,>,,>>,>,>,>,>,,>>>,>,>,>,>,>,>,>,>,>,,>,>>,>,,>>,>,>,,>,>,,>,,,>,,>,>,,>,,>,,,,,,,>,>,>,>,>,,,,,,,>,>,,>,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,',,,,,,,,,,,,,',,',',,,,',',',',',',',,',,',',,',,,',,,,,,',,,',',',',',',',',,',',',',',',',',',','',',',''',','',',,'''','',',',''','',''''',','''',',',''''','',''','',''''''''''''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>;>>>>>;>>;>>;>>;>;>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>,>>,>>>>>>,>,>,>>>>>>>,>>,>>>,>,>>,>>,>>>>>,>>>>,>>>,>,>>>>,,>>,>,>,>,>,>,>,>,>,>,>,,,>,,>,,>,,,,>,>,,>,,>>,,>,,,>,,,>,,>,>,>,,,,,,,,,,,>,,>,,,,,,,,,,,,,,,,,,,,,,,,>,>,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,',,,,,,',,,,,',,,,,,,,,,,,,,,,,,',,,',,,',,',','',',',,',,',',',,',',',',',',',',',',',','',',',',,,',',''','',,,','','''','','',',',''''','''''''','''''''''''''''''''','','''''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>;>;>>>>>>>>>;>>>>>;>>>;>>>;>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>,>>>>>>>,>,>>>>>>>,>>,>>>>>>,>,>,>>>,>>>,>>>>,>>>,>>,,>,>>,,>>,,,>>>,,,>>,>,>,>,>,>,>,>,>,>,>,>,>,>,>>,>,>,>>,,>,,>,>,,,>,,,>,,>,>,,>,,,,,>,>,>,>,>,,,>,,,,>,,>,,>,>,,,>,,>,,>,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,',,,,,,,,,',,,,,',,,,,,,',,,',,',',',',',',',,,',,,',,',,',,,,',',,',,',,,',',,',',',,,',',',',',',',',,',',',''''',',,'','''',','',','','','','''',',''',',',''''',',',''','''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>>>>>>;>>;>>>>>>>;>;>>>>>>>;>>>;>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>,>>>>>>,>>,>>>>,>>>>>>>>,>,>>>>>>>,>,>,>>>>>>,>>>,>>,>,>>>,>,>,>>>,>,>>>,>>>>,,>>>,>,>,>>,>,>,>,>,>,>,>,,>,,>,>,,,>,,>,,,>,,>,>,,>>,,>,>,>,,,,>,,>,>,,,,,,,,,,,>,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,',,,,,,,,,,,,,',,',,,,,,,,,,,,,,,,,,,,,,',',,',',,',,,'',,',,',',',,',','',',,,',',',',',',',',','',''','',,,,''''','',',''','''',''','','','''''',''''''','','''''','''','',''''','''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>;>;>>;>>>;>>;>>>>>>>;>>>>>>>>>;>>>>>;>>>>>;>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>>>>>>>>>>,>>>,>>>>>>>,>,>>>>>>>>>,>,>>>,>>,>>>>,>,>>>,>,>,>>>,>,>,>,,>,>,>,>>,>,,>,>,>,>,>,>,>,>,,>>,>,>>,>,>,,>,>,>,,,>,,,,>,,,,,>,>,,>,,,,,>,>,>,>,>,,>,,,,,>,,>,>,,,>,,,,>,,,,>,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,',,,',,,,,,,',',,',',',',',',',',,,,',,,,',,,',,,',,',,',,',',',,,,',',',',',',',',',',','',',',',''''',',,',','',','',',',','',''''',',',''',',',''''''','''',''''''''',''''','''''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>;>>;>>>;>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>,>>>>>>,>>>,>>,>>>>>,>,>,>,>>>>>,>>,>>,>,,>>>>,>>,>>,>,,>>,>>,>>,>>,>,>,>,>>,>,>,>,>,>,>,>,>>,,,,>,,>,>,,>,>,,,>,>,>,>,,,>,>,,,,>,,>,>,>,,,,,,,,,,,,,,>,,,,,,,,,,>,,,>,,,,>,,,,,,,,,,,,,,,,>,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,',,,,,,,',',,,,,,,,,,,,,,,,,,,,,,,',',,',',,',',',,',',',,',,,',,''',,',',,',',',',',',',',,',',',',,',,','''','',''',,''',''',''',',''''''','''''''',',''''','''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>;>;>>;>>>>>>>>>>>;>>>>>>;>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>,>>,>>>>>>,>>>>>>>>>>,>>,>>>>>>>>,>,>>>,>>,>>>>>,>,>>,>>,>>>>>,>>,>>,>,>,>,>,>>,>,>,>,>,>,>,>,>,>,,>>,>,>,,>,>>,,,>,>,>,,,>,>,>,,,>,>,,>,,,,,,>,>,>,>,>,,>,,,,>,>,,,>,,,,,,,,,,,,,,,,,,>,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,',,,,,,,,,',,,,,,,,',,,,,,,',,',,',',',',',',',',,,',,',,',,,,',',,,',',,'',,'',,,',',',',',',',',',',','','','','','','',,'','',,'',','''','','','',',',''',',',''''''','''',''',''',''''','''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>;>>;>>>;>>;>>;>>>>>;>>>>>>>>>>;>>>>>>>;>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>,>>,>>>>>>>>>>,>>>>,>>,>>,>>>>>>>,>,>,>>>>>,>>>,>>,>,>>>>,>>,>,>,>,,>>,>,>,>,>>,>>>,>,>>,>,>,>,>,>,>,>,,>,,>,>,,>,>,,,>>,>,,,>,>,>,,,,>,>,,>,,,>,>,,,,,,,,,,,,>,,,>,,,,,>,,,,,,,,,,,,,,,>,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,',,,,,,,,',,,,',,',,,,,,',,,,,,,,,,,,,,,,',,',,,',,',',,,',',,,',',,',,',',',',',',',',',',',',',',',',',',','',','',',''','''',',''','','','''''',''''''','',''''','''''''','''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>>>>>;>>>>>>;>>;>;>>>>>>>>>>;>>>>;>>>>>>;>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>>>>>>>,>>>>>,>>>,>>>>>>>,>>,>>>>>>>,>,>>>,>>,>>,>>,>,>>,>>>,>,>>>,>>>,>,>,>>,,,>,>,>,>,>,>,>,>,>,>,>,>>,,>,>,>,>>,,,,,>>,,>,>,,>,>,,,,>,,>,,,,>,>,>,>,>,>,,,,,,,>,,,,,,>,,,>,,>,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,',,,,,',,,,,,,,',,,,,',',',',',',',,',,',',,,',,,'',,',',',,,',',',',',,,',',,',',',',',',','',',',',',',,''','',',','',,''',','','','''',',''',',',''''''',''''',''''''''''''',''',''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>;>>>>>;>>>>>>>>>>>;>>;>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>,>>>>>>>>>>>>>,>,>>>>,>>,>,>,>>>>>,>>,>>>,>>,>>>,>>,>,>>>,>,>,>,>,>>,>,>>>,>,>,>,>,>,>,>,>,>,>,>,,,>,>,>,,,,,>>,>,,,>,,,,>,>,,>,>,,>,,>,>,,,,,,,,,,,,,>,>,,,,,>,,>,,,>,,,,,,,,,,,>,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,',,,,,,,,,,',,',',,,',,,,,,,,,,,,,,,,',,',,,,',',,',,,',,,',',',,,',',,,',',',',',',',',',',',',',','','',''',,'',''','',''',''',','','',','''','''''''',',''''',''''',''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>>;>>;>>;>>;>>;>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>,>>>>,>>,>>>>>>,>>>>>>>>>>>,>,>>>,>>,>>>,>>,>>,>,>>,,>>,>,>,>>,>,>,>,>,>>>,>,>,>,>,>,>,>,>,,>,>>,>,>,>,>>,,>,,>>,>,>>,,,,,>,,,>,,,>,,,,,>,>,>,>,>,,,,,>,,>,,,,,,,,,,,,,,,,>,,,,,,>,,,>,,,,,,,>,,,,,,,,,,,,,,,,,,',,,,,,,,',,,,',,,,,,,',,,',,,,,,,,,,,,,',',',',',',,',,',,,',',,,',,',',',',,,','',,',''',',',,',',',',',',',',','',',',',',,'',',',,',','',',','''','','''''',''',',',''''',','''',''''''''''','''''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>>>>>>>>;>>>>>;>>>>;>>>>>>>>>>;>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>,>>>,>>>>>>>>>>>>>,>>>>>>>,>>>>>>,>,>,>,>,>>>>,>>>,>>,>>>,>>,>>,>,>>>,>>>,>>,>,>,>,>,>,>,>,>,>,>,>,>,>,>,>,>,>,,,>,,>,>,,>,,>,,,,>,,,>>,>,,>,,,>,>,,>,>,,,,,,,,,,>,,,,,,,,,,>,,>,,,,,>,,>,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,',,',,,',',,,,,,,,,,,,,',,',,',,',,',,,',,',,',,'',,,,,',',,,,',',',',',',',',',',',',','','',''','','''''','',''''',',''','',',',''',''''''',''''''','''',''',''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>;>;>>>>>;>>>>;>>>>>>;>>>>;>>>>>>>>>>>>;>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>>>>>,>>,>>>>>>>,>>,>>>,>>,>>>>>>>>>>>>,>,>>,>>,>>,,>>,>>,>>,>>,>>,,>>,>>,>,>>>,>,>,>>,>,>,>,>,>,>,>,>,,>,>>,>,>,>,>,>,>,,>>,,>>,,,,,>,,>,>,,,>,,,,,>,>,>,>,,,>,,>,,>,>,,,,,,,>,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,',,,,,,,,',,,,,,',,,,,,,',',',',',,,',,,,,',,',,',',,',,',',,,'','',,','',',,',,',',',',',',','',',',',',',,'',',',',,'','',,',''',','''''''''','',',','''''','''',''''''''',''''''''',''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>;>>>>>;>>>>;>>>>>;>>>>>>;>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>,>>>>>>>>>>>>>>>>,>>,>,>,>,>>>>>,>,>>,>>>,>>,>>,>>,>,>,>>,>>,>,>>,,>,>>,>,>,>,>,>,>,>,>,>,,>,>,,>,,>,,>,,,>,,>,,>,,,,>,>,,,>,,,>,>,,>,>,,,,,,,,,>,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,',,,,,',',,,,',,',,,,,,,,,,,',,,','',,',,',,,,',',',,',',,,',,',',,',,',',',,',',',',',',,','',','','',','''',''',','''',','''',',,',',',''''''''','','''','''',''',''''','''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>;>>>;>>>>;>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>,>,>>,>,>>>,>>>>>>>>,>>,>>>>,>>>,>>,>>>,>>,>>>,>>>,>,>>>,,>>>,>,>,>,>,>,>,>,>,>,>,>>,>,>,>,>,>,>,>,,>,,>,,>>,>,,,>,>,,>,,>,,,,,,,>,>,>,>,,,>,,>,>,,>,,,>,>,,,,>,,>,,,,>,,>,,>,,,,,>,,,,,,,,,,,,,,,,,,,,',,,,',,,',,,,,,,,,,',,,,,,',,,,,,,,,,,,,',',',',',,,,',,,,,',,',,',',,',,,',,',,',',',,',','',',','',',',',',','',','',',',','',',,'',,'',',','''',','''''''''''',',',','''''','''''''''''''''''',''''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>>;>>>>>>>;>>>>;>>>>>>;>>>;>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>,>>>,>>,>>>>,>>,>>>,>>>>>>>>>>>>>,>>>,>,>,>>>,>>>,>>>,>>>,>>,>,>,>,>,>>,,>>>,,,>>,>,>,>,>,>,>,>,>,>,>,>,>,,,,>,>,,>,,>,,,>,>,>,,>,,,>,,>,,,,>,,>,,>,>,>,,,,,,,,,>,,,,,,,,,,,,,,,,,,,>,,,,,,>,,,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,',,,,,',,',',',,,,,,,,,,,,,',',,,',',,',,',,,',,',',',',',',,,'',',',,,,',',,',',',',',','',',','',',',''','',''',''','',',''',',',',',','''''''''',','''','',','',''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>;>>>>;>>;>>>>>>>;>>>>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>,>>>,>,>>,>>>>,>>>>>>,>>>,>>,>,>,>,>>>,>>>,>>>,>,>>>,,>>>,>,>,>,>>>,>,>,>,>,>,>,>,>,>>,>,,>,>,>>,>>,,>,,>,>,>,>,>,,>,>,,>,,,>,,,,,,>,>,>,>,,,,>,,>,,>,>,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,',,,,,,,,,,,,',,',',',',,,,',',,,',,,',,',,',',,',,,',,,'',,,',,,'',',','',',',',',',','',',',','',',,'','',,'',,'','','',','','''''''',',',','''''',''''''''''''''''''','''',''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>;>>;>>>>;>>>>>>;>>>>;>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>,>>>>>>>>,>>>>,>,>>>,>>>,>>>,>>>,>,>>,>>,>,>,>>,,>>>,,>>,>>,>,>,>,>,>,>,>,>,>,>,>,,>,>,>,,>,,,>,,>,,>,,,>,,>,,,>,,,>,,>,>,,,>,>,,,,,,,,,>,,,,,,,,,,,,,,,,,>,,,,>,,>,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,',,',,,,,,',,',,,',',,,,,,,,,,,',,,,,',,,,',,,',,',',,',,',',',',,'',',',,',',,',',',',',',',',,',',','',',''','',''',''','','','''','',',',',''''''''','''''','','''''',''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>;>>>>>>>;>>;>>>>>>>;>>>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>,>>,>>>,>>,>>>>>,>>,>>>,>,>>>>,>>>>,>>>,>>,>,>>>>,>,>>,>>>,>>>>,>>,>,>,,>>,>,>>,>,>,>,>,>,>,>,,>,>,>,>,,>>,>,,>,>,>>,,>,,>,>,,>,,>,,,,,>,,,,>,>,>,>,,,>,,>,>,,>,,>,,>,,,,>,,,,,,,,,,,>,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,',,',,,,,,,,,,,',,,,,,,,,',,,,,,',,,,,,,',',',',,,',',,,'',',,',,',,',,',,',,,',,',',,',','',,',',',',',',',',','',''',',,',',',','',',',','''','',','','''''''''',',','''','',''''',',''''''''''',''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>;>>;>>>>>>>;>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>,>>>,>>>>>>>>>>>>>>>,>>>>>>>>>>>>>,>>>>,>,>>,>>,>>>>>,>,>>>>,>>,,>>,,>,>,>,>,>>>,>,>,>,>>,>,>,>,>,>,>>,>,,>,,>>,,>,,>,,,>,,,>,>,>,,,>,>,,,>,>>,,>,>,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,>,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,',,,,,,,,',,,,',',,,,',,,',,,,,,,,',,,,,',,,,,,',,',,,,',',',',',,',,',',',',,',',,',',',',',',','',',',','''',''','',',','','',''','''','',',',',',''''''',''''''','''''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>>;>>>>>>>;>>>>>>;>>>;>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>,>>>>>>,>>>>>>>>,>>>>>,>>,>,>,>,>>>,>>>>>>>>,>>>,>,>>,>>,>,>,>>,>,>>>>,>>,>>,,>,>>,>,>,,>,>,>,>,>,>,,>,>,,>>,,>,>,>,>,>,,>,,>,,>,>,,,,>,>,,,,>,,,,,,>,>,>,,,>,>,,>,,>,>,>,,,>,,,,,>,,>,,,,,,,,,,,>,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,',,,,',,,,,,,,,,',,,,',',',,,,',',,',',',,',,',',,,',,',,',',,',',',,',',','',',',',',',',','',',',',,,',',',',''','','','','',',''''''''''''''',',''''',',''''',''','''''','''''',''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>;>;>>>>>;>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>,>>,>,>>>,>,>>>>>>>>>>>>,>>,>,>,>,>>,>,>>>,>>,>,>,>>,>>>,>,,>>,>,>,>>,>,>,>>,>,>,>,>,>,>,>,>,,>>,,,>,>,>,,,>,,>,>,,>,,,,>,>,,>,,>,>,,>,>,>,,,,,,>,,,,,,,,,,,,,,,,>,,,>,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,',,,',',,,,',,,,,,,',',,,,',,,',,',,',,,',',,',,',,',',',,,',',,',',,',',',',',',',',,',',''''','',''',',',','','','',''',',,',',',',',''''','',''''',''''''''',''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>;>>>>>>;>>>>;>>>>>>>>>;>>>;>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>>>>>>>>>>,>>,>,>,>>,>>>>>>>>,>>>,>,>>,>>>>>>,>>,>,>>>,>,>,>,>,>,>>,>,,>>,>,>,>,>,>,>,>,>,,>>,,>,>,>>,,>,,>,>,,>>,>,,,>,,,>,,,,,,,,,,,>,>,,,>,,,>,,>,>,,,>,,,,,,,,,,>,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,',,,,,,,,,,,,,,',,,,,,',,,,',',',,,,',',,,',,',,',,,',,',',',',',,,,',',',','',,',',',',',',',',''','',',,,',','',','',''',',','',''',''''''''''''''',','''''''',''''',','''''','',''''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>;>>;>>>>;>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>,>>>>>>>>>>>>>>,>>>>>>,>>,>>,>>,>>>>>>>>>>>>,>,>,>,>>,>>>>,>>>,>,,,>>,>,>,>,>>,>>,>,>>,>,>,>>,,>,>,>,>,>,>,>,,>,>,,>>,,,>,,,>,>,>,,>,>,,,,>,,>,>,,>,>,>,>,>,,,,,>,,,,>,,,,,,,,>,,,,,,,,,>,,,,,>,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,',,,',,',,',,',,,,,',,,,,,',,,,,,,,',,,,,',',,,',,,',',',,,',,,',,''',,',',,',,,',',',',',',',',',,',',',''',','',','','',,''''',''',,'',',',',',',',''''','','''''',','''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>>>>>>>;>>>>>>>>>>;>>;>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>,>>>>,>>>>>>>>>>>,>,>,>,>>>>>>>>>>,>,>,>>,>,>>>>,>,>>>,>>>,>,>,>>,>,>,>,>>,>>,>,>,>,>,>,>,>,>,>,>,,>>,,>,>,,,>,,>,,,>,>,,>,,,,>,,>,,,,,,,,>,>,,,>,,,,,>,,>,,,,,>,,>,,,,,,,,,,,,>,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,,,,',,,',,',,,',',',',,,',',,,,,',,',',,,,,'',,'',,',,,,'',',',,'',',,',',',',',',',','',',',','',','',','',''',,','',''','','''''''''''',',''''','','''''''','''''''''',''',''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>;>>;>>>>;>>>>>>>>>>>>>>;>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>,>>>,>>>>>>>>,>>>>>>>>>,>>,>>,>>>>>>>>>,>,>,>,>,>>>>>,>>>>,>,>>>>,>,>>,,>>>,>,>,>>,>,>>,>,,>,>,>,>,>,>,>,>,>,,>,>,,>>,,>,>,>,>,>,>,,,>,,>,>,,,>,,>,>,>,>,,,,>,,,>,,>,,,,,,>,,,,,,,,>,,,,>,,,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,',,,,,,,,',,,,,,,',,',,',',,,,,,,,,,',,,,,,,,',,,,,','',,',,,',',',,,',,,',',',',,',,'',,',',',',',',',','','',',''',',','','','',',',''''',',','','',',',',',',''''','''''''','''''''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>;>>;>>>>>;>>;>>;>>>;>>>>>>>>>>;>>>>>>>>>>>>>>>>>>,>>>,>>>>>>>>>>>>>,>>,>>>>>>,>>,>>>,>>>>>>,>,>,>,>>>>>>>>>>>,>,>>,>,>>>,>,,>>,>,>>>,>,>,>,>,>>,>,,>,>>,>,>,>,>,>,>,,,>,>,>,>,>,,,>,,>,,,,>,,>,>,,>,,>,,>,,>,,,,,,,,,,>,,,>,,,,,,,,>,,,,>,,,,,,,,>,,,,>,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,',,',,,,,,,,,,,,',,',,',,,,,',',',,,',',,,,,',,,',,',,,'',,',',,,',,',',',,',',',',',',',',',',,',,',',,'',',',',','','','',,','''''',''','''''''''''',','','',',''',','''''',''','''''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>;>>>>>>>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>,>>>>>>>>>,>,>,>,>,>,>>>,>>>,>,>>>>,>,>>,>,>,>,>>>,>,,>,>>>,>,>,>,>,>,>,>,>,>,>,>,>,,>,>>,,>,,>>,>,>,,,>,,,>,,>,>,,,>,>,>,>,>,,,>,,,>,>,,>,,,>,,,,,>,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,',',,,,,,,',,,,',',,,',',,,,'',,,',',,'',,',,',,'',,',,',',',',',',','',''',''',,','','','',',''','''',',',''','',',',',',',''''''''''''''''''''',','''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>;>>;>>>>>>>;>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>,>>>,>>>>>,>>,>>,>,>,>>,>>>>>>,>,>,>,>>>>>>>>,>>>,>,>>,>>,>>,,>>,>>,>,>>>,>,,>,>>>,>,>,>,>,>,>,>,>,>,>,>,,>,,>,>,,>,,>,,>,,,>,,,>>,,,>,,>,,,,,>,,,,,,,,,,,>,,>,,,,,,,,,,,,,>,,,,,>,,,,>,,,,,,>,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,',,',,,,,',,,',',',,,,,,',',',,',,',,,',',,,',',,,,',,',',,,',',',',,,',',',,,',',',',',',,',',',',''',','','',''',,'',','',''',',',''''''''''''',','','','','','','''''''''',''''','''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>;>>>>>>>;>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>>>>>,>>>>>>>>>>>,>,>,>,>>,>>,>>,>>,>>,>>>,>>,>>>,>,>,>>,>>,,>>>,>,>,>,>,>,>,>,>,>,>,>,>,>,>>,>,,>>,>,>,,>>,,,>,>,,,,>,>,>,>,>,>,>,>,,,,,,,,>,,>,,>,,>,,,>,,,,,>,,,,>,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,',,',,,,,,,',,,,',,,,,,,',',,,,,,,,,,',,',,',,',,',,',',',',,',',,',,','',',',,''',',',',',','',',',',',',',',',',',',''',','','','','''',',',',',','''''''''''''','''''''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>;>>;>>>;>>>>>>>>>>>>>;>>>;>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>,>>>,>>,>>>,>,>,>,>,>>>>>>>>>,>>,>>,>>,>>>,>>,>,>,>,>,>>>,>>,>,,>>,,>,>,>,>,>,>,>,>,>,,>,>,>,,>,,,>,>,,,,,>,>,,,>,>,,,>,>,,>,,,,,,,,,,,,,,>,>,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,',,',,,,,,,,,,,,,,,,,,,,,',,,,,',,,,,,,',,,,,,',',',',,,',,',,',,',,',,',',,,,',',,',',,',,',,',',,,',',',',',',,',',','',','',''',''',',',''','','','',','''''''''''',',',','',',''''','''''','''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>;>>;>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>,>>,>>>,>>,>>>,>>>>>>>>>>>>>>>>>,>,>,>,>>>,>>>>>,>>,>>,>,>>>,>>,>,>,>,>,>>>,>,>,>>,>,>,>,>,>,>,>,>,>,,,>,>,>,>,,>,>,>,,,>,>,,,,>,,>,,>,,>,>,>,>,>,>,>,,,,,,>,,>,,>,>,,,,,,,>,,,,,,,>,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,',,,,,',,,,,,,,,,',,,,',,',,,,',',,,,,,,,,',,,',,',,',,',,',,,','',,,',',,'',',',',',',',',',',',','',''','',',',',',',',','',',','','','''''',',',',',','''''''''''''''',''''','''''''''''''''','''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>;>>;>>>>>>>>>>>;>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>,>>,>>>>>>>>>>>>>>>>>>>>>>>>>>,>,>>>>,>,>,>>>>>>>>>,>,>>,>,>>,>>,>>,>,>,>>,>>,>>,>,>,>,>,>>,>,>,>,>,>,>,>,>,>,>,>,>,>,>,,>,>,>,>,>>,,>,>,>,,>,,>,,>,,>,,,,,,,,,,,,>,>,,,,,,,,,,,,>,>,,,,,>,,>,,,,,,,>,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,',,',,,,,,,',,,,,,,',,,,,,',',',',,,',,',,,,,',,',,,',',,,',',,,',,,',',',',',',',',',',',',,',',',','',',',''',','','','',''''',,',','''''''''''',',','',','','''','''',''''','''','''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>;>>>;>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>,>>>>>>>,>>,>>>>>>,>>>>>>>,>,>,>,>>>>>,>>,>>>,>>>,>>>,>>,>>,>>,>,>,>,>,>>,>,>,>,>,>,>,>,>,>,>,,>,>,,>,>>,>,,,>,,,,,>,,,>,,>,,>,,>,,>,,>,>,>,>,>,,,,,,,>,>,,>,,>,,,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,',,,,',',,,,,',',,,,,,,,,,',,',,',',,',,,'',',,'',,','','',',,',',,,',',',',',',','',',',',',,',','','','','','','',',''''','',',',',',',''''''''''''''','''''''''','''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>;>;>>>>;>>>>;>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>,>>>>>,>>,>>>>>>>,>>,>>>,>,>,>>>>>>>>>,>,>>,>>,>>,>,>>,,>>,>,>,>,>>,>>,>>,>,,>>,>,>,>,>,>,>,>,>,>,>,>,>,,>,,,>,>,,>,>>,,>>,,>,,>,,>,,,>,,,,,,,,,,,,>,>,>,,,,,>,,,,,,>,,,>,>,,,,,,,>,,,,,,,,>,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,',,,,,,,,,,,,,',,,,,',',,,,,',',',',',,',,,',,,',,,',,,,,',,,',',,,,,',',',,,''',,',',',',',',',',',',','','',',','',',','','','',',',''',''''''''''''',','','',','''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>;>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>,>>>>>>>>>>>>>>>,>,>,>,>>,>>,>>,>>,>>>,>,>>,>,>>>,>>,>,>,>,>,>>>,>,>,>,>,>,>,>,>,>,,>,,>,>>,>,>,,>,>,,>,,>,,,>,,>,,>,,>,,,>,>,>,>,>,,,,,,,,>,,,,,,,>,,,,,>,,,,,,>,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,',,,,,',,',,,,',,,,',,,,,,,',,,,,,,,,,,,,,,',,,',,,',',','',,',,',,','',,,',',',,,',',',',',',',','',''','',',','','',''','',',''','''',',''',',',',',','''''''''''''','','''','','','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>;>>>>>>>>;>>>>>>>>>;>>>>>>;>>>>>>>>>>>>>>>>>>>,>>,>>>>>>>>>>,>>>>>,>>,>>>>>>>>,>>,>>,>,>,>,>>>>>>>>>>>>,>>,>>,>>,>,>>>>,>>>,,>>,>>,>,>,>>,>,,>,>,>,>,>,>,>,>,>,>,>>,,>,,>,>,>,,>,>,,>,,>>,,>,,>,,,>,,>,>,,,,,,,,,>,>,>,,,>,,>,>,,,,>,,,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,',,,,',,,',',',',',',',,',',',',,,',,,',',',,',',,,',',',',',',',',',',',',',,',',,',',','',',',',',',','',','',','','',''''''''''''','','',''','''''''''''''''''',''''','''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>;>>>>>;>>>>;>>>>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>,>>>>>>>>,>,>>>>>>>>,>>>>>>>>,>,>,>,>,>,>>,>>,>>,>>>>,,,>>,,>>>,>,>>,>,>>,>,>>,>>,>,>,>,>,>,>,>,>,,,>>,>,,>,>,,>,,,>,,>,>,,>,,>,,>,,,>,,,,>,>,>,>,,,,,,,>,,,,,,,,,>,,,,,,,,,>,,,,,,,,>,,,,,,,,>,,,>,,,,,,,,,,,,,,,,,,,',,,,,,,,,,',,,,',,',,,,,,,',,',,,,,',,,,',,,,,,,,,,,,,,',,,',,,',,,,',,',,,',,',,'',',',,',',',,',',',',',','',','',',',',','',''',',''','''','''',''',',',',',',',','''''''','''',''''',''''''''''''',''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>;>>>>;>>>>;>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>,>>>>>>>>>>,>>,>,>>>>>>>,>,>>>>>>,>>>>>,>>>>>,>>,>,>>>>,>>>,>,>>,>,>>>,,>,>,>,>,>,>,>,>,>,>,>,>,>>,,,>,>,,>,>,>,>,>,>,,,>,,>,,,,>,>,,>,>,,,,,,>,,>,>,>,,,,,>,,>,,,,,>,,,>,,,,,>,,>,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,',,,,,,,',,,,,,',,,,',,,,',,,,',',',',',',',,',,,',,',',,',,'',',',',,,',,',',',',',',',',',',',',',','','','',',',','''',',',','',',''',''''''''''''''''',',',''''',''','''''',''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>,>>>>>>>>>>>>>>,>>,>>>>>,>,>>>>>,>,>>,>,>>>,>>>,>,>>,>,>>,>,>>,>,,>>,>>>,>>,>,>,>,>,>,>,>,>,,,>>,>,,>>,>,,,>,>,,,>,>,,>,,>,>,,,>,,>,,>,>,,,,>,,,,,,,>,,,,,,,,>,,,,,>,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,,,',,,,,,',,,',,,,',,,,,,,,,,,,,,',,',',,',,,',',',,,,',,,',','',,',,',,',',',',',',',','','',',',',','''',',,'',','',','',','',',',',',',',',',''''''',''''',''','''''',''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>;>>>>>>>>;>>>>>;>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>,>>,>>>,>>>>>>,>,>>>>>,>,>,>>>>,>>,>,>>>,>>,>,>,>>,>>,>,>>,>>>,>,,>,>,>,>,>,>,>,>,>,>,>,>,,,>,>,,>,>>,,,,>>,,>,>,,>,>,,,>,,>,,>,,,,,>,,,>,>,>,,,>,,>,>,,,,>,,,,,>,,,,,,,,,,>,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,',,,,,,,',,',,,',,,,,',,',',',',',',',,,',,,',,',',,,',,'',,',',,',,',',',',',',',',',',',',,',',,'','',',',,',''',',''','''','''','',''''''''''''''''''',''',','''''''','''''''''''''''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>>>>;>>;>>>>;>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>,>>>>,>>>,>>>,>>>,>>,>>>>>>>>>>>,>>>,>,>>>>>,>,>>>>>>>>,>>>,>>>>,>,>>,>>,>>,>>,>>>,,>,,,>,>>,>,>,>,>,>,>,>,>,>,>,>,>,>,>,>,,>,,,>>,>,,>,>,,>,,,,>,>,,,>,,,>,>,,,>,,,,,,,>,,,,,,,,,>,,,,>,,,,,>,,,>,,>,,,,,,,,,>,,,>,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,',,,,,,,,',,',,,,,,,,,,,',,,,,,,,,,,,,,,,,,,',',,',,',,,,'',,',,,',',',',',',',',',',',',',',',','',',''',,',','',''',',''',',',',''',','','',',',',',',',',','''''''''','''''''',''''''''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>,>>>>>>>>>>,>>>>>>,>,>,>,>,>,>>,>,>>>,>>>,>>,>,>>,,>>,>>>>,>>,>>>,>,>,>,>,>,>,>,>,>,>,>,,>,>,>,>,>,,,,>,,>,,>,,>,>,,,,>,,,>,,,,,>,,,>,>,>,,,,,>,,>,,,,>,,,,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,',,,,,,,,,,,',,',,',,,',',',',',',',',',',,,',,',,',',,,',,'',,',,,',',,,',',,,',,',',',',',',',',',,,'','',','',','',,'',',''',',''','','''''''''''''''''','','','''',','''''''','','','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>;>>>>;>>>>;>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>,>>,>>>>>>>,>,>>>>,>>,>,>,>>>>>>>>>>>>,>>>,>,>>,,>>,>,>>,>>>>,>,,>,>,>,,,>,>,>,>,>,>,>,>,>,,,>,>>,,>,>,,>,,>>,>,>,,>,>,,>,,>,>,>,>,,>,>,,,>,,,,,,,,>,>,,,,,,>,,,,,,,,,,,,,>,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,',,',,,',,,',',,',,,',,'',,,''',,,''',',',',',',',',','','''',',','',',''',''',''',','''','',''',',',',',',',',''''''''''','''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>;>>>>;>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>,>>>>,>>,>>>>>>>>,>,>>>>>>,>>>,>>>>>>>>,>,>,>,,>,>>,>>>>,>>,>,>>,>,>>,,>>,>>>,>,>>>>>>,>,>,>,>,>,>,>,>>>,,,>,>,,>,>,>,,,,,>,,>,,,>,,>,,>,,,,,>,,,,,>,,,>,>,>,,,,,,,,>,,,,,,,>,,>,,>,,,,>,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,',,,,,,,',,,',,,,,',,,,,',,',,',,,',,',',',',',,,,,',,',,,',,,',,',',,',',',,,'',,,,'',,,,',',',',',',',',',',',,'',',',,''',,'',,'',',''',','','',','''''''''''''''''','',','''''''''','',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>,>>>>>,>>>>>>>>>>>>>>>>>>>,>>>>>,>>>>>,>>>,>,>,>,>>>>>,>>>>>,>>,>,>>,>>>,>>>>,>,>>,>,>,>,>,>,,,,>,>,>,>,>,>,>,>,,,,>>,>,>,>,,>,,>>>,>,>,,>,>,,,,>,,>,>,,>,,>,,,>,,,,,,,>,,>,,>,,,>,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,',',,,,,',,,',,,,,,,,,,,,,',',,',,,',',',,',,',,',',,,',',,'',',,'',',',',',',',',',',',','',,','','',,''',''',','','''',''','''',',',',',',','',''''''''','',''''''''''','''''''',''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>;>>>>;>>>>>>>;>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>,>>,>>>>>,>>>>,>>>>,>>>>>>>>>,>,>>>,>,>,>>,>>>,>>,>,>,,>,>,>>,>>,>,>>,>,>>>>>,>,>,>,>,>,>,>,>>,,,>,>,>,>,,>,,,,,,,>,>,,,>,>,,>,>,,>,,,>,,>,,,>,>,>,,,,,,,,>,,,,,>,,,>,,,,,,>,,,,,,>,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,',,,',,,,,,,,,,,',,,,,,,,',',',',',',,,,,',',',,,,,',,',',',,,'',',,',,',',',,',,,',',',',',',',',',',''',','',''',','',,''','',,'',','',','''''''''''''','',',''','''''',''''''','''''','''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>>>>;>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>,>>>>>>,>>>>>,>>>>,>>>>,>,>,>>>>>>,>>>>,>>,>>,>>>,>,>>>>>,>>>,>,,>,>,,>,>,>,,,>,>,>,>,>,>,>,,>,,>>,>,>,>,>,>,>,>,>>,,>,>,,,>,,,,,,>,,>,,,>,,,>,,,,,,,>,>,,,,,,>,,,,,>,,,>,,>,,,,>,,,,,,,>,,>,,,,,>,,,,,,,,,,,,,,,,,,,,,,,',,,',,,,,,,,,,,,,,,,',,,,',,',,,,,,,,,,,,,,',',,,,,,',',',,',,,,,',',,,,',,'',,',',',',',',',',',',',',''',',,,',',,',','',',''',,'',''',''','''',',',',',',','''''''','''','''''',''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>,>>>>>>>>>>>>>>>>>>>>,>>>>,>>>>>,>>>>>>,>,>,>>,>,>>,>>,>>,>,>>,>,,>,>,>,>>>,>>,>>>>,>,>>,>,>,>,>,>,>,>,>,>>,,>,,,>,,>,,>,,>,,,>,,,>,>,,>,>,>,,>,,,>,,,>,,>,,>,>,,,,>,,>,,,>,,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,',,',,,,',,,,,,,',,',',',',',,,,',',--*-->,,',,'',',,','',,',,',',',',',',',',',',',',',',',''''''',''','',','',,''','',','','',','''''''''''''','','''''',''',''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>;>>>>;>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>,>>,>>>>>>,>>,>>,>>>,>>>>,>>>>,>,>>>>>>>>>>,>>,>>,>>,>>>,>>,>>>,>>,>>,>,>,>,>,,>,>>,>,>,>,>,>,>,>,>,>,,,>,>,>,>,>,>,,>,,>>,,>>,,,>,,,,>,,>,,>,,,>,,,,,,>,,,,,,,,,,,,,,,,,>,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;**-,,',,,,,,,,',,,,',',,,,,,,,,,,,,,,',',,,=*&&&&&&-,,',,>=*-,,,,',',',',',,,',',',',',',',',',',',',',,',,',',,','''',''',,'','''','',''',',',',',',',''',''',','''''''',''''''',''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>>>>;>>>;>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>>>,>>>,>,>>>>,>,>,>,>,>>,>>>>>,>>,>,>,>>>,>>,>,>,>>>,>,>,>>>,>,>,>,>,>,>,>,>,>,>,>>,,>,>,>,>,,>,>,>,,>,>,,,>,,>,>,,>,,,>,,>,,,>,>,,,>,>,>,,,>,,>,,>,,,,,>,,>,,,>,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,',,,;&&&&;,,',,,,,,,,,',,,,,,,',',',',',',,,,,,>*%&&&%&&&>,',,,*&&&-',',,,',,,','',,',,,',',',',',',',',',','','',','''',,,'',,''','',',''','','''''''''''''',''''''''''','',''''',''''''','''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>,>>>>>>>>,>>,>>,>>>>>>>>>>>,>,>>>>>>>>>,>>>,>,>>>,>>>,>>,,>,>,>>,>>,,>,>>>,>,>,>,>,>,>,>,>,>,>,,,>,,>>,>,,>,,>,,>,>,,>,,,>,>,,>,,,>,,,>,,>,,,>,,,,,>,,,,,,,>,,,,,,,,,,,,>,,,,,,>,,,,,,,>,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,*&&&&*,,,,',,',,,,,,',,',,,,,,,,,,,,,',',',&&&&%*&*&*,,','-&&&&&',,'',,'',',,'',',',',',',',',',',',',',,','',',',,'''',''',,'',''',','','',',',',',','''','',',''','''''''''''',''''''''''''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>;>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>,>>>>>,>>,>>>,>>>>>>,>>,>>>,>>>>>>,>,>,>,>>>,>>,>,>,>>,>>,>>>,>>>,>,>,>>,>,,,>,>,>,>>,>,>,>,>,>,>>,>,>,,,>,>,>,>,>,,,,>,>,>,,>,,>,,>,,>>,,>,,,>,,,>,>,,,>,>,,,,,,>,>,,>,>,,,,,,,,,,,,,,>,,,,,>,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,*%&&&*,,,,,,,,',,',,,,,,',,',',',',',,,,,,=&&&&=,,,,,',,,,-&&&&*,',,',',,',,',,,',',',',',',',',','','''',','',',''',','',''','',','''','',''''''''''',',''''''','''','','',''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>;>>>>>>;>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>>>>>>>,>>>>,>>>,>>,>,>,>>>>>>>>,>,>,>>>>>>,>>,>>,>>,>,>>>,>,>>,>>>>,>,>>,,>,>,>,>,>,>,,>,>,,>>,>,>,>,>,,>>,,>,,,>>,,>,,>,>,,,,>,,>,,,>,,,,,>,,,,,,>,,>,,,,,,,,,,,,,,>,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',>&&&&;,,,,,,',,,,,,',,,,,,,,,,,,,,,,',','>*&&&=,,',,,,'',,,&&&&-,,',,',',',','',',',,',',',',',',',',',,',',,','',','',',',','''''',','','',',',',',''''',','''''',''','''''',''','''',''','''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>;>>>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>,>>>>>>>>>>>,>>>,>>>>>>>>>>>>>>>,>,>,>,>>>>>,>,>,>>,>,>,>,>,>>,,>>>,>,>,,>,>>,>,>>,>,>,>,>,>,>>,>,>>,,,,>,,,>,>,,,>,>,>,,,>,,>,,,,>,>,,>,,,>,,,>,>,,,,>,>,,,,,,,,>,,,>,,,>,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,',,,,,,,>*=;,',,',,,,',',,,,',,',',',',',',,,,,,-&%&*,',,',',,,',',=*;,',,',',,',',,,',,','',',',',',',',',','''',''',','',',''',''',',',','',''',''''''''',',''''','',''''''''''''''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>,>>>>,>,>>,>,>>>,>>>,>>,>>,>,>,>>>>>>>>>>,>,>>>>,>>,>>>,>>>,>>,>>>,,>>,>>>,>,,>,>,>,>,>,>,>,>,>,,,>,,,>>>,>,>,>,,>>,,,,>,>,>,>,,>,>,,,,>,,>,,,>,,,,,>,>,,,,,,>,,>,,,>,,,,>,,,,,>,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,',',,,*&&&-,,',,,',',',',',,,',',,',',,'',',',',,',',',',',',',','',,,',',','','',',,'',,'',''''','','',',',','''''',''''''''','',''','',''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>;>>>;>>>>>>>>>>>;>>>>>>>>>>>>>>>>>,>>>>>>,>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>,>>>>>>,>,>,>,>,>>,>>,,>>>,>>,>>,,>>,>>,,>>>,,>,>,>>>,>>,>,>,>,>,>,>,>,>,>,>>>,,,>,>,>,>,,,>>,>,,>,,,,,>,,,>,>,,,>,,>,,,>,>,,,,,>,,>,,,,,>,,,,,,,,,,>,,,,,,,,>,,,,,,,,,>,,,>,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,,,',,,,,',,,',,,,',',,,',',',',,,,,','&&&&>,',,',,,,',,',,',',,',',',',,,',',','',',',',',','','',,''',',','',',''''',''',''',',''',','''''''',',','',''','',''''','''''''''''''''''''',''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>,>>>>>>>>>>>>,>>,>>,>>>>,>,>>>>>>>>>>>,>>,>>>,>,>>,>,>>>,>,>>>>,,>>>,>,>,,>>,>,>,>,>,>,>,>,>,>,>,,,,>>,>,>,,,>,>,,,>,>,,>>,>,,>,,,>,>,,>,,,>,,,,,>,>,,,,,,,>,,,,,>,>,,,,,,,,,,,>,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,',,,,',,,,',,,,,',,,',,,,,,',,,,,,,,',',,,,'&&&&>,,',,',',,',,',',,',,,',','',',,',,',,',',',',',',',','',,',','',''',',,',',',',','',','''',',','''''''',''','''''','''''','''',''''',''','''''''''=''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>,>>,>>>,>>>>>>,>>>>,>>>>>,>,>,>,>,>>,>>,>,>>>>>,>>,>,>>,>,,>>,>,,>>,>>,>,>,>,>,>,>,>,>,>,>,>,>,>==-=;>,>,>,,>,>,>->,>,,,,,>,,>;-==->-===>,>,>,,,,>,>;-,,,,,>,,,,,,-=-=;;===-,>,,,,,,,,,,->,,,,,,,,,,,,----,,,,,,,,,,,,',,,,,,,>>>>;>>>,,,,,',>>>>>,,>=****=>',',',,,,'>>>>&&&&->>>>,,','>>>>>>>>,,',',,,>>>>',',;=***=;,',',',',>-****=;,,'',',',,','','',''',''','''',','',-****=->','''''''','>>>>'','>=***=-'','''',;=***=->''*&*'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>;>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>,>>>>>>>>>,>>>,>>>>>>>,>>,>,>>>>>>>>>>>,>>>>>>>,>,>>,>>,>,>>,>>>,>>,>>,>,>,>,>>,>,>,>,>,>,>,>,>,,>,>,*&&%&,,>,,>,,,>,*&;,,>,>>,,>,,*%&&=,&&&&*,,,,>,,,,,,&&,>,,,,,>,,,>&&&&;;&&&&-,,,>,,,,,,>&*,,,,,,,,,,,-&%&&,,,,,,,,,',,,,,,,,,,&&&&&&&&',,,,,,*&&&*,*&&&&&&&&&-,,,,',,,*&&&&&&&&&&&&-,,,'*&&&&&&&>,',','-&&&&',;*&&&&&&>,',',',;*&&&&&&&&&*>,'','''','','',','',''',',''',>=&&&&&&&&&*>,'','',''>&&&&>'>=&&&&&&-''''''=*&&&&&&&&==&&&*,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>>>;>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>,>>>,>>>>>>>>>>>>>>>>,>>>>>>>>>>>,>>,>>>>>>>>>,>,>,>,>,>>>,,>,>,>>>,>,>,>>,>,>>,>,>,>,,>,>>,>,>,>>,>,>,>,>,>,>,>,>,,>,=%&&&>>,>,,>>,>>&&*,>,,,,>,,>;&&%&;,*&%&&,>,,,>,>,,-&&-,>,>,,,>,,-&%&&,,&&%&*,,,,,>,,,,*&&>,>,,,,,,,,*&&&*,,,,,',,,,,,,,,,,,,'&&&&%&&*,,,',,,*&&&&*&&&%&&&&&&&*>',,,',*&&&&%&&&&&&&-'',,*&&&&&&&>,,',',-&&&*,;&&&&&&&*'',',',=&&&&&&&&&&&&&=','',','',','',''',',',''','-&&&&&&&&&&&&&='''''''',&&&&>>*&&&&&&*,''''>*&&&&&&&&&&&&&&*;''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>,>>,>>,>>>>,>>>,>,>,>,>>>>>>>>>>,>>>>>,>>,>>>>,>>,>>>,>,>>>,>>>,>>,>,>,>,>,,>,>,>,>,>,>,>,>,>,,>&&%%=,,>>,,,,>=&&&,>,>,,,>,,=%&&&,,-&&&&;,>,,,,,,,*%&*,,,,,,,,,,*&&&=,,=&&&&,,,,,,,,,,&&&=,,,,,,,,,,&&&&;,,,,,,,,,,,,,,,,',,,*&%&&&%*,,,,,,,*%&&&%&&*&&&&&&&&&&,,',,,*&&&&&&&%&&&&=,,',*&&&&&&&>',',',-&&&&;&&&&*&&&;,',','*&&&&&&*&*&&&&&&=',','',''',',','''','',','=&&&&&*****&&&&&=','',''>&&&&>*&&&***&-','',*&&&&&*=**&&&&&*,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>,>>>>>,>>,>>>>>>>>,>>>,>>>>>>>>>>>>>,>,>,>,>,>,>,>,>>,>,>,,>>,>>,,>>,>,>,>,>,>,>,>>,>>,>>,>,>,>,>,>,>,,>,>,>>,&&&&&>,,,,>>,,&&%&=,,,,>,,,,&&%&=,>,&&%&*,,>,>,>,;&&%&;>,,>,,>,>&&%&;,,;&%&&->,,,,,,,-&&&&,,,,,,,,,;&%&&,,,,,,,,,,,,,,,,,,,,,=--*&&&&,,,,',,*&&&&&*;,',,-*&&&&&*,,',,--=-&&&&*-=-->',,'-=-=&&&&>,',',,-&&&*&&&=,,'>*,',','*&&&&*;,,',>=&&&&&='',',',,',''',',',''''''-&&&&*-,',',-*&&&&;'''',',&&&&*&&=,'',=>''''=&&&&=>''',-&&&&*,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>>;>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>,>>>,>>>>,>>>,>>,>>,>,>>>>>>>>>>>>>>>,>>,>>>>>>>,>,>>>>,>>>,>,>,>,>,>,>,>,>,,>,>,>,>,>,>,>,>,,>,,,>-%&%&>>>,>,,>-&%&&&,>>,,>,>>&&&&>,,,*&&&&,,,,,,,,=&&&&*,,,,,,,,-&&&&,,>,&&&&*,,,,,,,,*%&&&-,,,,,,,,*&&&=,,,,,,,,,,,',,,,,,,,,,,,-&&&*,,',,,,*&%&&;,,,,,',,-&&&&&;,,,,,,,'&&&&-,,,,,,',,',,>&&&&>,',,',-&&&&&&;,',',',',',=&&&&=,'',''''>*&&&*,','''''',',''','',',,',*&&&*>','''',>*&&&*,,''''>&&&&&&-'''''''''';&&&&*'''''''-&&&&-'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>,>,>,>,>,>,,>,>>,>>,>,>,>,>>,>,,>>,,>>,>,>>>,>>,>>,>,>>,>,>,>,>,>,>,,>,>,>>,,>*%&&=,,>,,>,*&&&%&;,,,>,,,*&%&*,>,>;&%&&;>,>,>,,&%&%&&,,>,>,,,&&%&=,,,,=%&%*>,,,>,,;&&&%&*,,,,,,,>&&%&;,,,,,,,,,,,,',,,,,',,,,,=&&%*,,,',,,*&&&*',,',,,,,'-&&&&*,,'',','&&&&-',',',',',,';&&&&>,,'',,-&&&&&-,',',',',',,*&&&=',',',,',,>*&&&='',,',,'','',''','''',=&&&&-'''','''';&&&&-'','',&&&&&=','''''',''=&&&*,''''''''*&&&*'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>;>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>,>>,>>>>,>>,>,>>,>,>>,>>>>,>>>>>>>>>>>>>>>,>>>,>>>,>>,>,>>,>>,>>>,>>>,,,>>,>,,>,>,>,>,>,>,>,>,>,>,>,>,,>,>,*&%&&,,>,>,>&%&%&&*>,,>,>,&&&%-,,,,>&&%&=,,,,,,-&&&&&&=,,,,,,>&&&&;,,,,>&&&&-,,,,,,*&%&&%&;,,,,,,-&&&&,,,,,',,,',,,,,,,',,,,',,-&&&&,,,,,,,*&&&*,,,,',',,',*&&&&>,,,,',,*&%&-,,,,',,,',',>&&&&>',,'',-&&&&*',',',',',',=&&&&','','','','=&&&*,''','','','',''',',''*&&&*',','','','*&&&*'''',,&&&&*,''','',''''*&&&='''''''''-&&&&,''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>,>>>>>>>>>>>>>>>>>>,>>>,>,>,>,>,>,>,>>,>,>>,>>,>>>>,>>,>>,,>>,>,>>>,>,>>,>>,>,>,>,>,>,>,>,>,>,,>,>,>,>-&&%&;,>,,>=&&&&%&&>>,,>,;&%&&>,>,,,=&&&&>,>,>,*%&%&%&&,,,>,,=&%&&,,,,,,&&%&*,,,,,,&&&&&&&*,,,,,,*&&&=,,,,,,,,,,,,,,,,,,,,,,,,,-%&&*,,,',,,*&%&*,,',,,,',,,;&%&&-',',,',&&&&-',',,',',,,';&&&&>,',,',-&%&&;,',',',',','&&&&-,',,',',',',>&&&&,,','',','','',',''',;&&&&;''''''','',-&&&&,,'''>&&&&='''''''''','*&&&-'''''''''>*&&&,''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>>>>>,>>>,>,>>,>,>>>>,>>>>>>>>>>>>>>,>>>>>,>>,>>,,,>>,>>,>>>,>,>,>,>,>,>,>,>,>,>,>,>,>,>,>,>,>,>,,>,,>,>&&&%=,,>,>&&%&*&&&=,,,,>*&&&*,,,>,>;%&%&;,,,,>&&&&*&&&;>,,,>&&&&=,,,,,,=&&&&,,,,,-&%&&&&&&,,,,,>&&%&;,,,,,,,,,,,,,,,,,,,',,,,,-&&&&',,,',,*&&&*,,,,',,,,',,*&&&*,,',,,'*&&&=,,'',',,'',,>&&&&>,',',,-&&&&,,',',',',',>&&&&>''','',',',',*&&&>',',''',''','''','''=&&&*,',',','''''>&&&&;'',',&&&&>''''''''''''*&&&;'''''''''>&&&*>''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>,>>,>>,>>>,>>>>,>>>>>>>>>>,>,>>,>,>,>,>,>,>,>>>,>,>>,>>,>>>>,>,>,>,>,>,>,>,>,>,>>>,>,>,>,>,>,>,>,>,>,>,,>,>,>,,>,*%&&&,>,,-&%&*,&%&&>,>,,&%&%-,>,,,,,&&&&=>,>,*&%&--&%&*,,,,>&&&&>,>,,,,>&%&&-,,,,*&&&>=%&&-,,,,-&&&*,,',,,,,,,,,,,',,,,,,',,,,-%&&&,',,,,,*%&&*,,',,',',,,,*&&%*,,,',,,*%&&-',,,,,',,,',>%&&&>',,','-&&&*,',',',',','-&&&*--------------&&&&-''',','',','',','','*&&&*,''''''',',',*&&&-'''',&&&&>',','','''''*&&&-''''''''',&&&&,''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">;>>>>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>,>>>>>>>>>>>>>>>>>>>>>>,>,>,>>,>>,>>,>,>>,>>,>>,>>,>,>>,>>,>,>,>,>,>,>,>,>,>,>,,,>,>,>,,>>,>,;&%&&>>,,*&&%-,=&&&-,,,-&&&&,,,>,,,,=&%&&,,,,&&%&>,*%&&>,,,*&%&*,,,,>,,>*&&%*,,,;%&%*,>*&%&,,,,*&%&=,,,,,',,,,,,,,,,,',,,,,,',-&&&*,,,,,,,*&&&*,,,,,,,,',,,*%&&*,',,',,*&&&-,','',,'',,'>&&&&>,',',,-&&&*,',',',',','=&&&&&&&&&&&&&&&&&&&&&&-',''','','',','','',*&&&*',',','''''''*&&&*',''>&&&&>'''''''','''*&&&*''','''''-&&&&,''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>;>>>>>>>>>>>>>>>>>,>>>>>>>,>>>>>>>>,>>>>,>>>,>>,>>>>>>>,>>,>>,>,>,>,>,>,>,>,>>>>>,>>,>>>,>,>>,>>,>>,>>,>>,>,>,>,>,>>,>,>,>,>,>,>,>,>,>,>,>,>,,,>,>,&&%&=,>>&%&&,,;%&%*>>,*&%&*>,,,>,>,;&&&&;,,-&&&=,,-&&&=,,,&&&&-,,,,,,,,=&&&&,,,=&&&-,,*&&&;,,>&&&&>,,,,,,,,,,,,,,,,,,,,,,,,,,=&&&&,',',,,*&%&*',',',',,',,*&&%*,,',,,,&&&&-,',,,',,,',,>&&&&>',',',-&&&&',',',',',',*&&&&&&&&&&&&&&&&&&&&&&>,',',','','''','',''*&&&*''''''','',',*&&&*'',',&&&&>''''''''''''=&&&*,''''''''=&*&*'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>,>>,>>>>>,>>>>>>>>>>,>>,>>>,>>>>,>>>>>>>>>>>>>>,>,>>,>>>,>>,>>,>,>,>,>>,>,,>,>,>,>,>,>,>>,>,>,>,>,>,>,>,>,>,,>,>>,>,,>=&%&&,,*&&&=>,,*&&&;,>&&&&-,>,,,,,,>&&%&=,,&&%&;,>,&&%*>,;&&%&>,,,,,,,,>&&&&;,>&&%*,,,;&&&*,,=&%&*,,,,,,,,',,,,,,,,,,,',,',,,-&%&*,,,,',,*&&&*,,,,,,,,,,',*&&&*,,,',',*%&&-,,'',,'',,',>&&&&>,,',',-&&&*,',',',',','*&&&&******************,'','''','',','','',,*&&&*',','''',''''*&&&*''''>&&*&,''','''''',';&&&&=''''''';&&&&-'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>,>>>>>>>>>>>,>>>>,>,>,>,>,>,>,>>>,>>>,>>,>>,>>,>>>>,>,>>>>,>>,>>,>,>,>,,>,>,>,>,>,>,>,>,,>,>,>,,>,>,>;&&&&>,&%&&,,,>-&%&*,-&%&&,,,>,>,>,,=&&&&,;&&&*,,,,*&&&-,=%&&*,,>,>,,,,,*&%&*,=&&&=,,,,*%&*>,&&&&-,,,,,,,,,,,,',,,',,,,,,,,,,=&&&&,,,,,,,*&%&*,,',',',',,,*&&&&',',,,'&&&&-',,,',,',',,>%&&&>',,','=&&&*',',',',',',*&&&*,,',','',''''',''',',',',''','''','''''*&&&*''''','''',',*&&&*,''',&&&&>,''''',''''''=&&&&=''''';&&&&*,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>,>>>>>,>>>>>>>,>,>>,>>>>>,>,>>>>>>>>>>>,>>,>>>,>,>,>>,>>,>>,,>,>>,>,,>>,>,>,>>,>>,>,>,>,>,>,>,>,>,>,>,,>,>,,>,,,>,&%&&--&&&*,>,,>&&&&,*&%&*,,,,,,,,>,;&%&%>=%&%-,,>,>&&&*,&&&&-,,,,,,>,,,-&&&&,&&%*>,,,,-&&&=>&&%&>,,,,',,,,,,,,,,,,,,,,,,,,',-&&&*,,',,,,*&&&*,,,,,,,,,,',*&&&&',,',,'&&&&-,',,',,',,',>&&&&>,',','-&%&&',',',',',',=&&&&'',',',',',,'',',''',','',''',','',',',*&&&*',','',''''''&&&&-'','>&&&&,'''','''''''',*&&&&**--*&&&&&>''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>;>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>,>>>>>>>>,>>>>>>>>,>,>>>>>>,>,>,>,>,>>>,>,>,>>>>>,>>,>,>,>>>>,>>,>>,,>,>>,>,>,>,>,>,>,>,>,>,>,,>,,>,>,>,>,>,>,>,=&%&&*&%&>,,>,,=&%&*&&&&;>,>,>,>,,,,&&&&=&&&&,,,,,,*&%&=&&&&,,,,,,,,,,,,&&&&=&&&*,,,,,,&&&&*&&&*,,,,,,,,,,,,,,,,',,',,',,,,,=&&%*,,,',,,*&%&*',',',',',,,&%&&*,',,','&&&&-,',',',,',,'>&&&&>,',,',-&&&*,',',',',','-&&&&>,',','','',',''',,'''','',',''','','''*&&&*''''''','',',&&&&-'''',&&&&>,'''''''''''''>*&&&&&&&&&&*&;'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>>>>>>>>>>,>,>>>,>>,>>>>>>>,>,>>>>>>>>>>>,>>>>>>,>,>,>>,>>,>>>,,>,>,>,>,>>>,,>,>,>,>,>,>,>,>,>,>,>,>,>,>,>,>,>,,>,,>,;&&&%&%&*,>,,>,,&&&&&%&&,,,,,,,,>,,,-&%&&&%&->,,,,>;&&&%&%&*,,>,,,,,>,,,*&%&&%&&;,,,,,,=&&&&%&&-,,,,,,,,',,,,,,,,,,,,,,,,,,,-&&&&',,,,,,*&&&*,,,,,,,,,,'>&&&&=,,',,,,*&%&-,,,',,',',',>&&%&>,',',,-&&&*,',',',',',,>&&&&-,''',,','','',,''',,'','','',''','',''-&&&&>',','''''''-&&&&>''''>&&&&,'','''',''''''''-&&&&&&&&&*,''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>,>>,>>>,>>>>>>>>>>>>>>>,>>,>>>>>>,>,>,>,>,>>,,>,>>,>>>>,>,>>,,>>,>>,>>,>>,,>>>,>>>,>,>,>,>,>,>,>,>,>,>,>,>,,,>,>,,>,,>,&%&&&&&;,,>,,,>=%&%&%&=>,>,>,>,,,>,>&&&%&&&,,,>,,,,*%&&&&&-,,,,>,,,,,,,-&&&&&%*,,,,,,,>&%&&&&&,,,,,,,,,,,',,,,,,,',,,,,',,,-%&&*,,,',,,*&%&*,',',',',,,=&&&&>,',,','&&&&-',',,',,',,,>&&&&>',',',-&&&&',',',',','''&&&&*',,'','','',''',','','',''','','','''',&&&&-''''','',',*&&&*'',''>*&&&>'''','''''''''';*&&&&**=->''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>,>>,>>,>>>>>,>,>,>>>>>>>>>>,>>>>,>>>,>,>>>,>,>>,>>,>>,>,>,>>,,>,>,>,>,>,>,>,>,>,>,>,,>,,>,,>>,>,,>,>,,>,=&%%&%*>,,,>,,>>&&%&&%>,,,,,,,>,,,,,*%&&%&*,,,,,>,,-&&%&%*>,,,,,,,,,,,,,&&%&&&-,,,,,,,,=&&%&&*,,,,,,,,,,,,,-**-,,,,',,,,,,,-&&%*,,,,',,*&&&*,,,,,,,,',;&&&&*,,,',,,,*&&&-,,',',',,','>&&&&>,,',',-&&&*,',',',',',,'-&&&&=',',',','',',','',','',';**=,','',',''*&&&*,',''''''';&&&&='''''>&&&&,''''''''''''',*&&=;,,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>;>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>,>>>>>>>>,>>,>>>>>>>>>,>>>>,>>>>>>>,>,>,>,>,>>,>,>>,>,>>>,,>,>>>,>>,>,>>,>,>,,>>,>,>,>,>,>,>,>,>,>,>,>,,>,>,>,,>,>,,>,,>,,;&&&&%-,,>,,>,,>*&&&&&,,,>,>,,,>,>,>-&%&&&>,,>,,,,,,&&&&&=,,,,,>,,>,,,,,*&&%&&,,,,,,,,,;&&&&&-,',,,',,,,,,=&&&&*,,,,',,',,,=&&&*,,,,,,,*%&&*,,',',',,>*&%&&;,',,',',&&&&-',,',,',',,,>&&&&>,',','-&&&&',',',',','','&&&&&;,'','',','>>',',''','';&&&&*,','''',';&&&&=''','','>*&&&*,',''',&&&&>'''''''''''''*&&;'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>,>>>>>>>,>>,>>>>>>>>,>>>,>>>>>>,>>>,>,>>>>>>>>>>>,>>>>,>>>>,>,>>>>>,,>>,>,>>,>,>>>>,>>,>,>,>,>,>,>,>,>,>,>,>>,>,>,>,>,,>,>,>,,>,>*%&%*>,>,>,,>,,-%%&&=,>,,,,>,,,,,,,,&&&%*,>,,,>,,>,*&%&%;,,>,,,,,,,,,,,;&&&&=,,,,,,,,,,*%&%*,,,,,,,,,,,,;&&%&&&;,,,,,,,,,'-&%&&,',',,,*&&&&=,,,,,,'=*%&&&*,,',,',,'*&&&-,',,',,,',',>&&&&>,',',,-&&&*,',',',',',''';&&&&&=>'',''',=*&''',','','*&&&&&='',',''''*&&&&=,'''''>*&&&&-''''''>&&&&>'','''''','',&&&-,',,;-**=*-,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-";>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>,>>>,>>,>>>>,>>>>>,>,>,>,>,>>,>,>>,>,>>>>,>,,>>>,>>,>>,>,>,,>,>,>>,>>>,>,>,>,>,>,>,>,>,,,>,,>,>,>>,,,,>,>,,>-&%&*,,,,,>,,>,,&&%&;,,,>,,,>,>,>,,,*%&&-,,,,,,,,,,>&&&&,,,,,,,,,,>,,,,,&%&&>,,,,,,,,,,-&&&*,,,,,,,,,,,,=&&&&&&-,,,,,,,,,,-&&&*,,,,',,*&&&&&**--=*&&&&&&&>',,',,',,&&&&-',',,',',',,>&&&&>',,','-&&&&',',',',',',','=&&&&&**=--**&&&&=',''',''>&&&&&&*,'''''',',*&&&&*=---*&&&&&*','',''>*&&&>'''',''''''',*&&&&*&&&&&&&&&&=''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>;>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>,>>>>>,>>>>>>>>>>>>>,>>>>,>,>>>>>>>>>>,>>>,>>,>>,>,>>,>>,,>>,>>,>,>>>>,>,>,,>>,,>,>,>,>,>,>,>,>,,>>,>,>,,>,,,>>,>,,>,,>>&&&>>,>,,,>,,,,=&&*>,>,,>,,,,,,,,>,-&&&,,>,>,,,,,,,*&&=,,,,,>,,,,,,,,,,=&&=,,,,,,,,,,,,&&&;,,,,,,,,',,,;&%&&%&-,,',,',,,,=&&&&,,,,,,,*%&&&&&&&&&&&&&&&*>,,',,',,,'&&&&-,,',',,',,',>&&&&>,',,',-&&&*,',',',',',','',-&&&&&&&&&&&&&&&*,',''',',*&&&&&=',',','','>*&&&&&&&&&&&&&*''''''''>&&&&,'''''''''''''*&&&&&&&&&&&&&&&&*,''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>>,>>,>,>>,>,>>>>>,>>>>>,>,>,>,>,>>,>>,>>>,>>>,>>,>>>,>,>,>>>,,>,>,>,>>,,>>,>,>,>,>,>,>,,>,>,,>,,>,>,>>,,>,,>,>,>,,*&*,,>,,>,,>,>,,&%-,,,,,,,>,>,>,,,,,&&=,,,,,>,,,,,,;%&>,,>,,,,,,,,,,,,,;%&;,,,,,,,,,,,,=&&,,,,',,,,,,,,,&&&&&&,,,,,,,,,',-%&&*,',,',,*&&&&&&&&&&&&&&&*>,',,,,,',',*%&&-,',,,',,'',,>&&&&>,',','-&&&&',',',',',',','',;*&&&&&&&&&&&*-,'',','',,=&&&&&;''''''''''',=&&&&&&&&&&*-''',''''',&&&&>,''''''''''''>=&&&&&&&****&&&&&=''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>,>>>>,>>>>>>>>>>>>>>>>,>>>>,>,>>>>>>>>>>>,>>,>>,>>,>,>>,>>,>>,>>>,>,>>,>,>>>,>,>>,>,>,>,>,>,>,>>,>,>,,>,>,,>,,,>,,>,,,>,,>>-&;>,,>,,>,,,>,,=&>,>,>,>,,,,,,,,,,,*&,,>,,,,,>,,,,,*&,,,,,,,,,,,,>,,,,,&*,,,,,,,,,,,,,>*=,,,,,,,,,,,,,,>*%&*>,,,,,',,,,,-****,,,,,,,*&&&*>-*&&&%&**>,',,',',,',,,=***-,',',',,,'',>****>',',,,-***=',',',',','',','','-***&&&***;,'',''','''',=*&*;',',',',',''''>=**&&&**-,'',''',''',*==*,'','''',''''''';-=*-;,,'''>=&&&&,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>,>>>>>,>>>>>>>>>>>,>,>>,>>>>,>>>>>>,>,>,>,>,>>,>>,>>,>>>>,>,>,>,>>,>,>,>,>,>>,,>,>>,,>,>,>,>,>,>,>,>,,>,>>,>,>>,>>,,>,,>,>,,>,,>;,,>,,>,,,>,,>,,;,,,,,,,>,,>,>,>,>,,>,,,,,,,,,,,,,,>>>,,,>,,>,,,,,,,,,,>>,,,,,,,,,,,,,,>,,,,,,',,,,,,,,,,>>,,,',,,,,,,',,,,,,,',,',,*%&&*,,,,>>>,,,,',,,',,',,,',,,,,',,',','',,,',,,,',,','','',',',',','',',',',',','',,>>>','',',',','',',',,>,',''''''''',','''''>,>,'',''''''',''''''''''''''''''''''''''''''''''''**&&;'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>;>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>>>>>>,>>,>,>>>>>>>>,>>>,>,>,>>>>>>>>>>,>>,>>,>>,>,>>>,>>>,>,>>,>>,>,>,>>,>,>,>>,>,>,>,>,>,>,,>,>,,,>,,>,,,,>,>,>,>,,>,,>,,>,,,>,,>,>,,,,>,,>,>,>,,,>,,,,,,,,,>,,>,,>,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,',,,',,,,,',*&&&*,,',,,,',,,,',,,',,',','',',',',,,,,'',','',,',',,',',',',',',',,',',',',','',',''',',''','','',''''',''''',',',',''''','',''''''''',''''''','''''''''','''''''''''''''''''''''*&&&='''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>>>,>>>>>,>>>>>>>>>>,>>,>>>,>>>>>>>,>,>,>,>,>>,>>,>>>,>>>,,>>,>,>>,>,>>,>>,>,>,>,>,>,>,>,>,>,>,>,>>,>,>>,>,>,,>>,>,,>,,>,,>,>,,>,>,>,,,>,,,>,>,,,,,,,,,>,,,,>,,,,>,,,,,,,,,>,,,,>,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,',,',,,,,,,,,',,,,',,,,,,,,,',,,,*&&&*,,,,',',,'',,'',,,',,,,,',,',,,'',',,',',,',',','',',',',',',','''',',''',',','',',''',,'','','',,',''',','''''''',','',''''',''',''',''''''''','',''''''''''''''''''''''''''''**&&-'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>,>>>>>>,>>>>,>>>>>>>>>,>,>,>>>>>>>>>>,>>>,>>,>,>>,>>>,>,>,>>,>>,>,,>,>,>,>>>,>,>,>,>,>,>,>,,>,>,,>,>,>>,,>,>,,>,>,>,>,,>,,,,,>,>,,>,,,>,,>,>,>,,,,>,>,,,>,,,,>,>,,>,,,,,,,,,>,,,,,,,>,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,',,,,,,,,,,',,',,',,,',,*%&&*,',,,,,',,,',,,',,','',,',,',',,',',',,',',',,',,',',',',',',',',,','',,',','',','',','',',''','''',',',''',',','''''''','',''',''''''','''''''''''''''''''''''''-;''''''''''',*&&&;'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>,>>>>,>>>>>>,>,>>>>>>>>>,>,>,>,>>>>,>>>,>>>,>>,,>>,>>>,>,>,>>>>,>>>,>,,>>,>,>,>,>,>,>,>,>,,>,>,,>,,>,,>,>,,>,,,>,,>,>,>,>,,,,>,,>,,>,,,,,,>,>,,,,,,,,,>,,,,,,,,,,,>,,,,,,>,,,>,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,,',,,',,',,,',,,,,,,,,,,*&&&*,,,',',,,',,,',,',,,,',',',',,',,',,',',',,',',,',',',',',',',',''',','','',',''',,''','','','',','','''',''''''',',',''''''''''','',''','','',''',''''''',''''';&&*;'''''''';*&&&*''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>;>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>,>>>,>>>>>>>,>>,>>>>>>,>,>,>>>>>>>>>>,,>>,>,>>,>>>,>>>,>>,,>>>>,>,,,>,>,>,>>,,>>,>,>,>,>,>,>,>,>,>,,>,>,>,>,>,,>,,>,>,>,>,,,>,,>,>,,>,,>,,,>,>,,,,,>,>,,>,,,,,>,,>,>,,,,,,,,,,,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,,,,,',,',',',*&&&*,,,,,,',,',',,',,',',,,',,,',,',,',',',,',',',',',',',',',',',',',',','',,',',',''',,'','',',''''','',','',',',''''''','',''','''''''''''''''''',''''''','''''',*&&&&*--,>--*&&&&&-''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>>>>>>>>,>>,>>>>>>>>>>>>>>>>>,>>,>>>>>>>,>>,>>>>>>,>,>,>,>,>>>>,>>>>,>>,>>,>,>,>>>,,>,>>>>>>,>,>>,>>>,,>,>,>,>,>,>,>,>,,>,>,>,>,>,>,>,,>,>,,,,>,,>,,,>,,,>,,>,,,>,,,,,>,>,,,,>,,,,>,,,,,,,,,>,,,,>,,,,,>,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,',,,,',,,,',',,',,,,,,,,,,,*%&&*,',',',,',,,',,',,,',',',',',',',,',,',',',',',',',',',',',','',','',',''',''','',''',',','''',',''',''',''''''',',',''''',''''','',''''''''''''''','''''''''''-&&&&&&&&&&&&&&&&&='''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>,>>>>>>>,>>>>>>>>>,>,>>>>>>>>,>,>>>>>>>>>>>,>,>>,>,>>,>>,>>,>>,>,>>>,>,,>,,>,>,>,>,,>>,>,>,>,>,>,>,>,>>,>,>,,,>,>,,,>,>,,,>>,>,>,,>,,,>,,,>,,>,,,>,>,,,,,>,>,,,>,,,,>,,>,,,,,,,>,,,,>,,,,,>,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,',,,',,',,,',,,,,,,,,',,,,',,,,,,,',,',,',',,*&&&*,,,,,',,,',,,',,',',,',,,',,,',,',',',',,',,,',',',',',',',',,',',',',',,',','',',',''','',','',',''',''',',',''''''',','''',','''''','','','''''''''''''''''''';*&&&&&&&&&&&&&*;''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>,>>>>>>>>>,>>>>>,>>,>,>>>>>>,>,>,>,>,>>>>>,>>>,>>,>>,>>,>,>>,>,>>>>,>>,>>,>,>>,>,>,>,>,>,>,>,>,,,>,,>,>>,,>,>,>,,,>>,,,>,,,>,>,>,>,>,,,>,,>,,,,,>,>,,,,,,,,,,>,,,,,,>,,>,,,,>,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,',',,,,,,',,,,,,*&&&*',',,',',',',,,',,,',,'',,',',,',',',,',',',',',',',',',',',''',','',',''',',','','',','',''','','',''','''''',',','''''','''''',','''''''''',''''''''''',''''''''>=*&*&&*&&&*-''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>,>>>>>>>>>>,>,>>>>>>>>>>>,>,>,>>,>>,>>,>>,>>>,>>,>>,,>,>,>>,>,>,>,>>,>,>,>,>,>,>,>>,>,>,>,,>>,>,,>,>>,,,>,,>,>,,,,,>,,,>,>,,>,,,>,>,,,,>,>,,>,,>,,,>,,>,,,,,,,,,,,,,,,>,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,',',,,,,,',,,,,,,',',,,,',',,-=-=-,,,',,,,,,,',',,',,',,,,',',',',,',',',',,',',',',',',',',',',','',',',',',''',',',','','','',''','',,'',',','''''',''','''','''''''''''',''''','''''''''''''''''''''>;;--;>,''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>>,>>>>>>>>>>,>>>,>>>>,>>>>,>>,>>>>>,>>,>>,>>>>>,>,>,>,>,>>,>>>,>>,>>,>>,>>,,>,>,>,>>>,>,>,,>,>,>,>,,>,>,>,>,>,>,>,>,,>,>,>,,,>,>,,>,,,>,>,>,,>,>,>,,,,>,,,>,,,>,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,>,,>,,,,,,,,,,,,>,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,,',,,',,,,,,',,,',,,',,,,',,,',',',',,,',,',','',,',,,',',,',',',',',,',',',',',',',',',',,','',','',,'',''','','',',''','','''''''''''',','','''','''',''','','''''''''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>>>,>>>>>>>>>>>>,>>>>>>>>>>>,>,>>>>>>>>>>,>>,>>>,>>,>>,>,>,>>>,>>>,>,>>,>>>,>>>,>>>>,>,>,>,>,>,>,>,,>,>,,>,>>,>,,>,,>,>,>,,,>,,,>,,>,>,,>,,,>,,,>,>,>,,,>,,>,>,>,,>,>,,>,,>,,>,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,',,,,,,,,,',,,,,,,',,,,,,,,,,,,,,',,,',,,',,,,',,,,',,,',',,,,',,',',,,'',',',,',',',',',',',',',',','',''',,','',''','',',','','''','','',',',','',','''','''''''','''','''''',''',''''','''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>,>>>,>>,>>,>,>>>>>,>,>,>,>,>>>>,>,>>,>>>>>>,>>>,>>,>,>>,>,>,>,>,,>>,,,>,>,>,>,>,>,>,>,>,>,>,,>,,,>,>,,>,,>,,>,>,>>,,,>,,>,,>,>,,,>,,,,,,,>,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,',,',,,,,',,',,,,',',',,',',',,,',,',',,'',,',',',',,,,'',',',',,'',,,',,',',',',',',',',',',',',','',,''',','',,'',,''',','',','','','''''''','''''','''','',''','''''''''''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>>>>,>>>>>>>>>,>>,>>>>>>>>,>>>>>>>>>>,>>>>>,>>>>>>>>>>>>,>,>>>,>>>,>,>,>>,,>>,>,>>,>>,>>,>,>>,,>>>,>,>,>,>,>,>,>,>,>,,>,>,>,>,>,,>,>,,>,,>,>,,,>,,>,,,>,,,>,>,,,>,>,,,,,,,,,>,,,>,,>,,>,,,,,,,>,,>,,>,,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,',,,,',,,',,,',,,','',,,',,',,',,,'',,',',',,,',',',',',',',','',','',,','',,''',''','','',''','',''',',',',''',',''','''''''''''','''','''','''''''''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>,>,>>,>>>>>>>,>>,>,>,>,>,>,>>>>>,>>,>,>>>,>,>>>,>>,>>,>>,>,,>,>,>>>,,>,>,>,>,>,>,>,>,,>,>,,>,>,>,>,>,,>,>,,>,,>,,>,,>,,>,>,,>,,,,,>,,,,>,>,>,>,,,,>,,,,,,,,>,,>,,,,,,,,,,,,,>,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,',,,,,,,,,',,,,,',',',,',,',',',',,,',,,,',,,,',,',,,,',,,,,',,',,',,',',,'',,,',',',,',',',',',',',',',,','',',''',',',',',',','','',''','','''''','''',''','','','','''',''',''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>>>>>>,>>>,>>>>>>>>>>>,>>>>>>>>>>>,>>,>>>>>>>>>>>>>>>>>,>,>,>>>,>>,>>,>>,,>>,>>,>,>,>>>,>>>,,,>>>,>,>,>,>,>,>,>,>,>,>>,>,>,>,,,>,>,,>,>,>,,>,,>,,>,,,,>,,>,>,,,>,>,,,,,,,,>,,,,,>,>,,,,,,,,,>,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,',,,',',,,,,,,,,,,,,,,,,,',,,,',,,',',,',,',',,'',',',,',',',,',',,''',,',',',',',',',',',',','','',',',,'',''',',''','',',''',',','',',',''',''','''''','''''',''''''''''''''',''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>,>>>>>>>>>>>,>>,>>>>>>>,>>>>,>,>>>>>>>,>,>,>,>,>,>,>,>>,>>>>,>>,>>,>>,>>,>,>,>>,>,>,>,>,>,>>>,,>,>,>,>,>,>,>,>,>,,>,,,>,,>,>>,>,,,>,,>,,>,,>,,>,,>,>,,,>,,,,>,,,,,>,>,>,,,>,>,,,,,,>,,>,,,,,,>,,>,,>,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,,',,',',,',',,,',',,',,',,',,,',,,',,,',,',',,,',,',',',,,',',',',',',',',',',',','',',','','',',','','','','''',',''''',''''''',''',''',',''','',''',''''','',''''''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>,>>>>>>,>,>>>>>>>>>>>>>>>>>>,>>,>,>,>>>,>>,>>,>>>,>>,>>>,>,>,>,>,>,>>,>,>,>,>,>,>,>,>,,>,>,>,>,>,,,,,>,>,>,,,>,>,,>,,,>,,,>,>,,>,>,,,>,,,,,,,,,,,,,,,>,,>,,,,,,>,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',',',,,,,,,,,,,,',,,,,,,,,,,',,',',,',,',,',,',,'',,',',',,'',',',',,',',',',',','','',',','',',',''',','',','',','','',',''',',',''',''',''''''''''''''''',''''''''',''''''''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>,>>>>>>,>>,>>>>>,>>,>,>,>,>,>,>,>>>,>>,>>>>,>>,>>,>>,,>>,>>,,>,>>,>,>,>,>,>>,>,>,>,>,>,>,>,>>,>,>,>,>,>>>>,,>,,,>>,,>,>,,,>,,>,>,,,>,,,,,>,,>,>,>,>,>,,,>,,,,,,,>,,,,,,,,,,,,>,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,',,',,',,,,,,,',,',,',,',,,,,,,,,,',,',',',,,',',',',',,,',,,,',,',,',',,',,,',,',,',',,,',,','',',',',',',',,',','',',,',','',','','',','''','','','',''''''',''',''','',''','',','''''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>>>>,>>>>>>>>>,>>>>>>>,>>>>>>>>>,>>>>>>>>>>>>>>>>>>>,>>>,>>,>,>,>>>,>,>,>>,>,>,>>>,>,>>,>>,>>,,>,>,>,>,>,>,>,>,,,>,,>,,,>,,,,,>,,>>,,,>,,,>,>,,>,,,,>,,>,>,>,,,,,,,,,,,,,,>,,,>,,>,,,,>,,,,>,,>,,,,>,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,',,',,,,,,,,,,,,,,',,',',,,,,,,,,',,,,,,,,',,',,,',',,',,',',,',',',',,',',','',,',',,',',',',',','',',',',''','',',','','',''',',','''','',',',',',''',''','''''','''''''',''','',''''',''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>,>>>>>>>,>>>>>>>,>>>>>>,>>,>>,>>>,>>,>,>,>,>,>,>,>,>>>,>>>>,>>>>>,>>,>>>,>>,>>>,>,>,>,>,>,>,>>>,>,>,>,>,>,>,>,>>,>,>,>,>,,>>,>,>,,,>>,,>,>,,,>,,>,>,,>,,,,,,,,>,>,>,>,,>,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,',,,,,,,,,',,',',,,,',',',,,',,',',,,',,',,,',',,,',,',',',,,',,'',,',',',',',',',','',',',',',','',''',',',',',',''',','',''''''''''',''',''''',''''','',''''''''''','''''''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>,>>>>>>>>>>>>>,>>>>>>>,>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>,>,,>>,>,,>>,>>,,>>,>>,,>>,>>,>,>,>,>,,>,>,>,>,>,>,>,>,,,>,>,>,>,>>,,>,,,>,>,,,>,>,,>,,>,,,,>,>,,>,>,>,,,,,,,,,>,,,>,,>,,>,,>,,,,,,,,,>,,,,,,,,>,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,',,,',',,,,,,,,,,,',',,,,,,',,,',,,',',,',,'',,,',',',,',,,''',',',,',',',',',',',',',,','','',',','',','','',','''',''','''',',',',',''',''','',''','''''''','','''''''',''''''''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>>>>>>,>>,>,>>,>>,>>,>,>,>,>,>,>,>>>,>>>>>,>>>>,>>,>>>,>>,>>>>,>,>>,>,>>,>>,>,>,>,>,>,>,>,>>,>,,>,,>,>,,>,,>,>,>,,>>,,,>,,>,,>,>,,,,>,,,,,,,>,>,>,>,,,,,,,,,>,,,,,,>,,,,>,,,,,>,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,',,,,,,,,,',,,,,,',,,',',',,,,',',',,',',,',,,,',,',,,'',,',,,',,'',,,,',',',',,',',',',',',','',',',',',',','',',''',''',,'',','',','','''''''',''',''''',''',','','''''',''''''''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>>,>>>>>,>>>,>>>>>,>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>,>>,>,>>>,>,>>,>,>,>,>,>,,>,>>,,>>>,>,>,>,>,>,>,>,>,>,>,,>,>,>,>,>,,>,>,>,,>,,>,,,>>,,>,,>,,,>,>,,,>,>,>,,>,,,,,,,>,>,,>,,,,>,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,',,',,,,',,,,,,,,',,',,,,,,',,',,,',,,,,,,',,,,,,,,,,,',,',',,',,,',,,,',',',',',','',,,',',,',',',',',',',','',','','','',',''',',',',''',''','','','',',',',''',''',''''''''''''''''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>>>,>>>>>>>>>>>>>>>>>>>>,>>>,>,>,>>,>,>,>,>,>,>,>,>>,>>,>>,>>>>,>>>,>>,>>,>>>>,>,>>,,>,>>,>,>>,>,>,>,>,>,>,>,>,>,>,>,>>,,>,,>,,>,,>>,,,>,,>,,,>,,,>,>,,,,,,>,,,,>,>,,,,,,,,,>,,,,>,,,,,,,,,>,,>,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,',,,,,,,,,,,,,',',,,',',',',',,,',,,',,,',,'',',,',,',,,',',,'',,','',',',',',',',',','',',',',','',',,'','','',','','','','',''''''''',''','','','','','',','''''''',''','''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>,>>>>>>>>>>>,>>>>,>>>>,>>,>>>,>>>>>>>>>>>>>>>>>>>>>>>,>>,>>,>>,>,>>,,>>,>>,>>,,>,>,>,>>,>,>,>>,>,>,>,>,>,>,>,>,,>,,,>,,>,,>,>,>,>,,>,,,>>,,>,,>,>,>,,,,>,>,>,,,>,>,,,,>,,>,>,,,,,>,,,,,>,,,,>,,,,,,>,,>,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,',,,,,,,',,,',,',,',,',,,,,',,,,,,,,,,',',,',,,',',',,,',',,',,',',,',',',',,,',',',',',',',',',,',',',',',','''',',''',','','','','''',',',',',''','''''''''''''''''''','''''''','''''''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''",
-">>>>>>>>>>>>>>>>>>>>,>>>>>,>>>>>,>>>>>>,>>>>>>>,>,>>,>,>,>,>,>,>,>>,>>>,>>,>>>,>>>,>>,>>,>>>,>>,>,>,>,>,>,>,>,>,>,>,>,>,>,>,>,>,>,>,,>,>,,>,,>,>,,>,,,>,,,>,,,,,>,>,,,,,,,>,,,,,,>,,,,,,,,,>,,,,,>,,,,>,,,,,,,,,,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,',,,,',,',,,,,,,,,,,',,,,,',',,,',',',',',,,,',,',',,,',,',,',',,',,',',',,',','',,',',',',',',',','',''',','','',,',',',',''','','','',',''''''''''',''''','','','','',''''''','''''''',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''"};
diff --git a/config/grub2/default b/config/grub2/default
new file mode 100644
index 000000000..603e78f2f
--- /dev/null
+++ b/config/grub2/default
@@ -0,0 +1,7 @@
+GRUB_TIMEOUT=5
+GRUB_DISTRIBUTOR="$(sed 's, release .*$,,g' /etc/system-release)"
+GRUB_DEFAULT=saved
+# GRUB_TERMINAL="serial console"
+# GRUB_SERIAL_COMMAND="serial --unit=0 --speed=115200"
+GRUB_CMDLINE_LINUX="quiet rhgb"
+GRUB_DISABLE_RECOVERY="true"
diff --git a/config/rootfiles/common/i586/grub b/config/rootfiles/common/i586/grub
index de6a53b5c..0f730ddc1 100644
--- a/config/rootfiles/common/i586/grub
+++ b/config/rootfiles/common/i586/grub
@@ -1,34 +1,544 @@
 #boot/grub
-boot/grub/default
-boot/grub/grub.conf
-boot/grub/ipfire.xpm.gz
-boot/grub/stage1
-boot/grub/stage2
-#usr/bin/mbchk
+boot/grub/grub.cfg
+#etc/bash_completion.d
+#etc/bash_completion.d/grub
+#etc/default
+etc/default/grub
+etc/grub2.cfg
+etc/grub.d
+etc/grub.d/00_header
+etc/grub.d/10_linux
+etc/grub.d/20_linux_xen
+etc/grub.d/30_os-prober
+etc/grub.d/40_custom
+etc/grub.d/41_custom
+etc/grub.d/README
+usr/bin/grub-editenv
+usr/bin/grub-fstest
+usr/bin/grub-kbdcomp
+usr/bin/grub-menulst2cfg
+usr/bin/grub-mkimage
+usr/bin/grub-mklayout
+usr/bin/grub-mkpasswd-pbkdf2
+usr/bin/grub-mkrelpath
+usr/bin/grub-mkrescue
+usr/bin/grub-mkstandalone
+usr/bin/grub-script-check
 usr/lib/grub
-#usr/lib/grub/i386-pc
-#usr/lib/grub/i386-pc/e2fs_stage1_5
-#usr/lib/grub/i386-pc/fat_stage1_5
-#usr/lib/grub/i386-pc/ffs_stage1_5
-#usr/lib/grub/i386-pc/iso9660_stage1_5
-#usr/lib/grub/i386-pc/jfs_stage1_5
-#usr/lib/grub/i386-pc/minix_stage1_5
-#usr/lib/grub/i386-pc/reiserfs_stage1_5
-#usr/lib/grub/i386-pc/stage1
-#usr/lib/grub/i386-pc/stage2
-#usr/lib/grub/i386-pc/stage2_eltorito
-#usr/lib/grub/i386-pc/ufs2_stage1_5
-#usr/lib/grub/i386-pc/vstafs_stage1_5
-#usr/lib/grub/i386-pc/xfs_stage1_5
-usr/sbin/grub
+usr/lib/grub/i386-pc
+usr/lib/grub/i386-pc/acpi.mod
+usr/lib/grub/i386-pc/acpi.module
+usr/lib/grub/i386-pc/adler32.mod
+usr/lib/grub/i386-pc/adler32.module
+usr/lib/grub/i386-pc/affs.mod
+usr/lib/grub/i386-pc/affs.module
+usr/lib/grub/i386-pc/afs.mod
+usr/lib/grub/i386-pc/afs.module
+usr/lib/grub/i386-pc/ahci.mod
+usr/lib/grub/i386-pc/ahci.module
+usr/lib/grub/i386-pc/all_video.mod
+usr/lib/grub/i386-pc/all_video.module
+usr/lib/grub/i386-pc/aout.mod
+usr/lib/grub/i386-pc/aout.module
+usr/lib/grub/i386-pc/at_keyboard.mod
+usr/lib/grub/i386-pc/at_keyboard.module
+usr/lib/grub/i386-pc/ata.mod
+usr/lib/grub/i386-pc/ata.module
+usr/lib/grub/i386-pc/backtrace.mod
+usr/lib/grub/i386-pc/backtrace.module
+usr/lib/grub/i386-pc/bfs.mod
+usr/lib/grub/i386-pc/bfs.module
+usr/lib/grub/i386-pc/biosdisk.mod
+usr/lib/grub/i386-pc/biosdisk.module
+usr/lib/grub/i386-pc/bitmap.mod
+usr/lib/grub/i386-pc/bitmap.module
+usr/lib/grub/i386-pc/bitmap_scale.mod
+usr/lib/grub/i386-pc/bitmap_scale.module
+usr/lib/grub/i386-pc/blocklist.mod
+usr/lib/grub/i386-pc/blocklist.module
+usr/lib/grub/i386-pc/boot.image
+usr/lib/grub/i386-pc/boot.img
+usr/lib/grub/i386-pc/boot.mod
+usr/lib/grub/i386-pc/boot.module
+usr/lib/grub/i386-pc/bsd.mod
+usr/lib/grub/i386-pc/bsd.module
+usr/lib/grub/i386-pc/btrfs.mod
+usr/lib/grub/i386-pc/btrfs.module
+usr/lib/grub/i386-pc/bufio.mod
+usr/lib/grub/i386-pc/bufio.module
+usr/lib/grub/i386-pc/cat.mod
+usr/lib/grub/i386-pc/cat.module
+usr/lib/grub/i386-pc/cdboot.image
+usr/lib/grub/i386-pc/cdboot.img
+usr/lib/grub/i386-pc/chain.mod
+usr/lib/grub/i386-pc/chain.module
+usr/lib/grub/i386-pc/cmostest.mod
+usr/lib/grub/i386-pc/cmostest.module
+usr/lib/grub/i386-pc/cmp.mod
+usr/lib/grub/i386-pc/cmp.module
+usr/lib/grub/i386-pc/command.lst
+usr/lib/grub/i386-pc/config.h
+usr/lib/grub/i386-pc/configfile.mod
+usr/lib/grub/i386-pc/configfile.module
+usr/lib/grub/i386-pc/cpio.mod
+usr/lib/grub/i386-pc/cpio.module
+usr/lib/grub/i386-pc/cpio_be.mod
+usr/lib/grub/i386-pc/cpio_be.module
+usr/lib/grub/i386-pc/cpuid.mod
+usr/lib/grub/i386-pc/cpuid.module
+usr/lib/grub/i386-pc/crc64.mod
+usr/lib/grub/i386-pc/crc64.module
+usr/lib/grub/i386-pc/crypto.lst
+usr/lib/grub/i386-pc/crypto.mod
+usr/lib/grub/i386-pc/crypto.module
+usr/lib/grub/i386-pc/cryptodisk.mod
+usr/lib/grub/i386-pc/cryptodisk.module
+usr/lib/grub/i386-pc/cs5536.mod
+usr/lib/grub/i386-pc/cs5536.module
+usr/lib/grub/i386-pc/date.mod
+usr/lib/grub/i386-pc/date.module
+usr/lib/grub/i386-pc/datehook.mod
+usr/lib/grub/i386-pc/datehook.module
+usr/lib/grub/i386-pc/datetime.mod
+usr/lib/grub/i386-pc/datetime.module
+usr/lib/grub/i386-pc/diskboot.image
+usr/lib/grub/i386-pc/diskboot.img
+usr/lib/grub/i386-pc/diskfilter.mod
+usr/lib/grub/i386-pc/diskfilter.module
+usr/lib/grub/i386-pc/dm_nv.mod
+usr/lib/grub/i386-pc/dm_nv.module
+usr/lib/grub/i386-pc/drivemap.mod
+usr/lib/grub/i386-pc/drivemap.module
+usr/lib/grub/i386-pc/echo.mod
+usr/lib/grub/i386-pc/echo.module
+usr/lib/grub/i386-pc/efiemu.mod
+usr/lib/grub/i386-pc/efiemu.module
+usr/lib/grub/i386-pc/ehci.mod
+usr/lib/grub/i386-pc/ehci.module
+usr/lib/grub/i386-pc/elf.mod
+usr/lib/grub/i386-pc/elf.module
+usr/lib/grub/i386-pc/exfat.mod
+usr/lib/grub/i386-pc/exfat.module
+usr/lib/grub/i386-pc/exfctest.mod
+usr/lib/grub/i386-pc/exfctest.module
+usr/lib/grub/i386-pc/ext2.mod
+usr/lib/grub/i386-pc/ext2.module
+usr/lib/grub/i386-pc/extcmd.mod
+usr/lib/grub/i386-pc/extcmd.module
+usr/lib/grub/i386-pc/fat.mod
+usr/lib/grub/i386-pc/fat.module
+usr/lib/grub/i386-pc/font.mod
+usr/lib/grub/i386-pc/font.module
+usr/lib/grub/i386-pc/freedos.mod
+usr/lib/grub/i386-pc/freedos.module
+usr/lib/grub/i386-pc/fs.lst
+usr/lib/grub/i386-pc/fshelp.mod
+usr/lib/grub/i386-pc/fshelp.module
+usr/lib/grub/i386-pc/functional_test.mod
+usr/lib/grub/i386-pc/functional_test.module
+usr/lib/grub/i386-pc/gcry_arcfour.mod
+usr/lib/grub/i386-pc/gcry_arcfour.module
+usr/lib/grub/i386-pc/gcry_blowfish.mod
+usr/lib/grub/i386-pc/gcry_blowfish.module
+usr/lib/grub/i386-pc/gcry_camellia.mod
+usr/lib/grub/i386-pc/gcry_camellia.module
+usr/lib/grub/i386-pc/gcry_cast5.mod
+usr/lib/grub/i386-pc/gcry_cast5.module
+usr/lib/grub/i386-pc/gcry_crc.mod
+usr/lib/grub/i386-pc/gcry_crc.module
+usr/lib/grub/i386-pc/gcry_des.mod
+usr/lib/grub/i386-pc/gcry_des.module
+usr/lib/grub/i386-pc/gcry_md4.mod
+usr/lib/grub/i386-pc/gcry_md4.module
+usr/lib/grub/i386-pc/gcry_md5.mod
+usr/lib/grub/i386-pc/gcry_md5.module
+usr/lib/grub/i386-pc/gcry_rfc2268.mod
+usr/lib/grub/i386-pc/gcry_rfc2268.module
+usr/lib/grub/i386-pc/gcry_rijndael.mod
+usr/lib/grub/i386-pc/gcry_rijndael.module
+usr/lib/grub/i386-pc/gcry_rmd160.mod
+usr/lib/grub/i386-pc/gcry_rmd160.module
+usr/lib/grub/i386-pc/gcry_seed.mod
+usr/lib/grub/i386-pc/gcry_seed.module
+usr/lib/grub/i386-pc/gcry_serpent.mod
+usr/lib/grub/i386-pc/gcry_serpent.module
+usr/lib/grub/i386-pc/gcry_sha1.mod
+usr/lib/grub/i386-pc/gcry_sha1.module
+usr/lib/grub/i386-pc/gcry_sha256.mod
+usr/lib/grub/i386-pc/gcry_sha256.module
+usr/lib/grub/i386-pc/gcry_sha512.mod
+usr/lib/grub/i386-pc/gcry_sha512.module
+usr/lib/grub/i386-pc/gcry_tiger.mod
+usr/lib/grub/i386-pc/gcry_tiger.module
+usr/lib/grub/i386-pc/gcry_twofish.mod
+usr/lib/grub/i386-pc/gcry_twofish.module
+usr/lib/grub/i386-pc/gcry_whirlpool.mod
+usr/lib/grub/i386-pc/gcry_whirlpool.module
+usr/lib/grub/i386-pc/gdb.mod
+usr/lib/grub/i386-pc/gdb.module
+usr/lib/grub/i386-pc/gdb_grub2
+usr/lib/grub/i386-pc/geli.mod
+usr/lib/grub/i386-pc/geli.module
+usr/lib/grub/i386-pc/gettext.mod
+usr/lib/grub/i386-pc/gettext.module
+usr/lib/grub/i386-pc/gfxmenu.mod
+usr/lib/grub/i386-pc/gfxmenu.module
+usr/lib/grub/i386-pc/gfxterm.mod
+usr/lib/grub/i386-pc/gfxterm.module
+usr/lib/grub/i386-pc/gmodule.pl
+usr/lib/grub/i386-pc/gptsync.mod
+usr/lib/grub/i386-pc/gptsync.module
+usr/lib/grub/i386-pc/gzio.mod
+usr/lib/grub/i386-pc/gzio.module
+usr/lib/grub/i386-pc/halt.mod
+usr/lib/grub/i386-pc/halt.module
+usr/lib/grub/i386-pc/hashsum.mod
+usr/lib/grub/i386-pc/hashsum.module
+usr/lib/grub/i386-pc/hdparm.mod
+usr/lib/grub/i386-pc/hdparm.module
+usr/lib/grub/i386-pc/hello.mod
+usr/lib/grub/i386-pc/hello.module
+usr/lib/grub/i386-pc/help.mod
+usr/lib/grub/i386-pc/help.module
+usr/lib/grub/i386-pc/hexdump.mod
+usr/lib/grub/i386-pc/hexdump.module
+usr/lib/grub/i386-pc/hfs.mod
+usr/lib/grub/i386-pc/hfs.module
+usr/lib/grub/i386-pc/hfsplus.mod
+usr/lib/grub/i386-pc/hfsplus.module
+usr/lib/grub/i386-pc/http.mod
+usr/lib/grub/i386-pc/http.module
+usr/lib/grub/i386-pc/iorw.mod
+usr/lib/grub/i386-pc/iorw.module
+usr/lib/grub/i386-pc/iso9660.mod
+usr/lib/grub/i386-pc/iso9660.module
+usr/lib/grub/i386-pc/jfs.mod
+usr/lib/grub/i386-pc/jfs.module
+usr/lib/grub/i386-pc/jpeg.mod
+usr/lib/grub/i386-pc/jpeg.module
+usr/lib/grub/i386-pc/kernel.exec
+usr/lib/grub/i386-pc/kernel.img
+usr/lib/grub/i386-pc/keylayouts.mod
+usr/lib/grub/i386-pc/keylayouts.module
+usr/lib/grub/i386-pc/keystatus.mod
+usr/lib/grub/i386-pc/keystatus.module
+usr/lib/grub/i386-pc/ldm.mod
+usr/lib/grub/i386-pc/ldm.module
+usr/lib/grub/i386-pc/legacycfg.mod
+usr/lib/grub/i386-pc/legacycfg.module
+usr/lib/grub/i386-pc/linux.mod
+usr/lib/grub/i386-pc/linux.module
+usr/lib/grub/i386-pc/linux16.mod
+usr/lib/grub/i386-pc/linux16.module
+usr/lib/grub/i386-pc/lnxboot.image
+usr/lib/grub/i386-pc/lnxboot.img
+usr/lib/grub/i386-pc/loadenv.mod
+usr/lib/grub/i386-pc/loadenv.module
+usr/lib/grub/i386-pc/loopback.mod
+usr/lib/grub/i386-pc/loopback.module
+usr/lib/grub/i386-pc/ls.mod
+usr/lib/grub/i386-pc/ls.module
+usr/lib/grub/i386-pc/lsacpi.mod
+usr/lib/grub/i386-pc/lsacpi.module
+usr/lib/grub/i386-pc/lsapm.mod
+usr/lib/grub/i386-pc/lsapm.module
+usr/lib/grub/i386-pc/lsmmap.mod
+usr/lib/grub/i386-pc/lsmmap.module
+usr/lib/grub/i386-pc/lspci.mod
+usr/lib/grub/i386-pc/lspci.module
+usr/lib/grub/i386-pc/luks.mod
+usr/lib/grub/i386-pc/luks.module
+usr/lib/grub/i386-pc/lvm.mod
+usr/lib/grub/i386-pc/lvm.module
+usr/lib/grub/i386-pc/lzma_decompress.image
+usr/lib/grub/i386-pc/lzma_decompress.img
+usr/lib/grub/i386-pc/lzopio.mod
+usr/lib/grub/i386-pc/lzopio.module
+usr/lib/grub/i386-pc/mdraid09.mod
+usr/lib/grub/i386-pc/mdraid09.module
+usr/lib/grub/i386-pc/mdraid09_be.mod
+usr/lib/grub/i386-pc/mdraid09_be.module
+usr/lib/grub/i386-pc/mdraid1x.mod
+usr/lib/grub/i386-pc/mdraid1x.module
+usr/lib/grub/i386-pc/memdisk.mod
+usr/lib/grub/i386-pc/memdisk.module
+usr/lib/grub/i386-pc/memrw.mod
+usr/lib/grub/i386-pc/memrw.module
+usr/lib/grub/i386-pc/minicmd.mod
+usr/lib/grub/i386-pc/minicmd.module
+usr/lib/grub/i386-pc/minix.mod
+usr/lib/grub/i386-pc/minix.module
+usr/lib/grub/i386-pc/minix2.mod
+usr/lib/grub/i386-pc/minix2.module
+usr/lib/grub/i386-pc/minix2_be.mod
+usr/lib/grub/i386-pc/minix2_be.module
+usr/lib/grub/i386-pc/minix3.mod
+usr/lib/grub/i386-pc/minix3.module
+usr/lib/grub/i386-pc/minix3_be.mod
+usr/lib/grub/i386-pc/minix3_be.module
+usr/lib/grub/i386-pc/minix_be.mod
+usr/lib/grub/i386-pc/minix_be.module
+usr/lib/grub/i386-pc/mmap.mod
+usr/lib/grub/i386-pc/mmap.module
+usr/lib/grub/i386-pc/moddep.lst
+usr/lib/grub/i386-pc/modinfo.sh
+usr/lib/grub/i386-pc/msdospart.mod
+usr/lib/grub/i386-pc/msdospart.module
+usr/lib/grub/i386-pc/multiboot.mod
+usr/lib/grub/i386-pc/multiboot.module
+usr/lib/grub/i386-pc/multiboot2.mod
+usr/lib/grub/i386-pc/multiboot2.module
+usr/lib/grub/i386-pc/net.mod
+usr/lib/grub/i386-pc/net.module
+usr/lib/grub/i386-pc/newc.mod
+usr/lib/grub/i386-pc/newc.module
+usr/lib/grub/i386-pc/nilfs2.mod
+usr/lib/grub/i386-pc/nilfs2.module
+usr/lib/grub/i386-pc/normal.mod
+usr/lib/grub/i386-pc/normal.module
+usr/lib/grub/i386-pc/ntfs.mod
+usr/lib/grub/i386-pc/ntfs.module
+usr/lib/grub/i386-pc/ntfscomp.mod
+usr/lib/grub/i386-pc/ntfscomp.module
+usr/lib/grub/i386-pc/ntldr.mod
+usr/lib/grub/i386-pc/ntldr.module
+usr/lib/grub/i386-pc/odc.mod
+usr/lib/grub/i386-pc/odc.module
+usr/lib/grub/i386-pc/ohci.mod
+usr/lib/grub/i386-pc/ohci.module
+usr/lib/grub/i386-pc/part_acorn.mod
+usr/lib/grub/i386-pc/part_acorn.module
+usr/lib/grub/i386-pc/part_amiga.mod
+usr/lib/grub/i386-pc/part_amiga.module
+usr/lib/grub/i386-pc/part_apple.mod
+usr/lib/grub/i386-pc/part_apple.module
+usr/lib/grub/i386-pc/part_bsd.mod
+usr/lib/grub/i386-pc/part_bsd.module
+usr/lib/grub/i386-pc/part_dvh.mod
+usr/lib/grub/i386-pc/part_dvh.module
+usr/lib/grub/i386-pc/part_gpt.mod
+usr/lib/grub/i386-pc/part_gpt.module
+usr/lib/grub/i386-pc/part_msdos.mod
+usr/lib/grub/i386-pc/part_msdos.module
+usr/lib/grub/i386-pc/part_plan.mod
+usr/lib/grub/i386-pc/part_plan.module
+usr/lib/grub/i386-pc/part_sun.mod
+usr/lib/grub/i386-pc/part_sun.module
+usr/lib/grub/i386-pc/part_sunpc.mod
+usr/lib/grub/i386-pc/part_sunpc.module
+usr/lib/grub/i386-pc/partmap.lst
+usr/lib/grub/i386-pc/parttool.lst
+usr/lib/grub/i386-pc/parttool.mod
+usr/lib/grub/i386-pc/parttool.module
+usr/lib/grub/i386-pc/password.mod
+usr/lib/grub/i386-pc/password.module
+usr/lib/grub/i386-pc/password_pbkdf2.mod
+usr/lib/grub/i386-pc/password_pbkdf2.module
+usr/lib/grub/i386-pc/pata.mod
+usr/lib/grub/i386-pc/pata.module
+usr/lib/grub/i386-pc/pbkdf2.mod
+usr/lib/grub/i386-pc/pbkdf2.module
+usr/lib/grub/i386-pc/pci.mod
+usr/lib/grub/i386-pc/pci.module
+usr/lib/grub/i386-pc/plan9.mod
+usr/lib/grub/i386-pc/plan9.module
+usr/lib/grub/i386-pc/play.mod
+usr/lib/grub/i386-pc/play.module
+usr/lib/grub/i386-pc/png.mod
+usr/lib/grub/i386-pc/png.module
+usr/lib/grub/i386-pc/priority_queue.mod
+usr/lib/grub/i386-pc/priority_queue.module
+usr/lib/grub/i386-pc/probe.mod
+usr/lib/grub/i386-pc/probe.module
+usr/lib/grub/i386-pc/pxe.mod
+usr/lib/grub/i386-pc/pxe.module
+usr/lib/grub/i386-pc/pxeboot.image
+usr/lib/grub/i386-pc/pxeboot.img
+usr/lib/grub/i386-pc/pxechain.mod
+usr/lib/grub/i386-pc/pxechain.module
+usr/lib/grub/i386-pc/raid5rec.mod
+usr/lib/grub/i386-pc/raid5rec.module
+usr/lib/grub/i386-pc/raid6rec.mod
+usr/lib/grub/i386-pc/raid6rec.module
+usr/lib/grub/i386-pc/read.mod
+usr/lib/grub/i386-pc/read.module
+usr/lib/grub/i386-pc/reboot.mod
+usr/lib/grub/i386-pc/reboot.module
+usr/lib/grub/i386-pc/regexp.mod
+usr/lib/grub/i386-pc/regexp.module
+usr/lib/grub/i386-pc/reiserfs.mod
+usr/lib/grub/i386-pc/reiserfs.module
+usr/lib/grub/i386-pc/relocator.mod
+usr/lib/grub/i386-pc/relocator.module
+usr/lib/grub/i386-pc/romfs.mod
+usr/lib/grub/i386-pc/romfs.module
+usr/lib/grub/i386-pc/scsi.mod
+usr/lib/grub/i386-pc/scsi.module
+usr/lib/grub/i386-pc/search.mod
+usr/lib/grub/i386-pc/search.module
+usr/lib/grub/i386-pc/search_fs_file.mod
+usr/lib/grub/i386-pc/search_fs_file.module
+usr/lib/grub/i386-pc/search_fs_uuid.mod
+usr/lib/grub/i386-pc/search_fs_uuid.module
+usr/lib/grub/i386-pc/search_label.mod
+usr/lib/grub/i386-pc/search_label.module
+usr/lib/grub/i386-pc/sendkey.mod
+usr/lib/grub/i386-pc/sendkey.module
+usr/lib/grub/i386-pc/serial.mod
+usr/lib/grub/i386-pc/serial.module
+usr/lib/grub/i386-pc/setjmp.mod
+usr/lib/grub/i386-pc/setjmp.module
+usr/lib/grub/i386-pc/setpci.mod
+usr/lib/grub/i386-pc/setpci.module
+usr/lib/grub/i386-pc/sfs.mod
+usr/lib/grub/i386-pc/sfs.module
+usr/lib/grub/i386-pc/sleep.mod
+usr/lib/grub/i386-pc/sleep.module
+usr/lib/grub/i386-pc/squash4.mod
+usr/lib/grub/i386-pc/squash4.module
+usr/lib/grub/i386-pc/tar.mod
+usr/lib/grub/i386-pc/tar.module
+usr/lib/grub/i386-pc/terminal.lst
+usr/lib/grub/i386-pc/terminal.mod
+usr/lib/grub/i386-pc/terminal.module
+usr/lib/grub/i386-pc/terminfo.mod
+usr/lib/grub/i386-pc/terminfo.module
+usr/lib/grub/i386-pc/test.mod
+usr/lib/grub/i386-pc/test.module
+usr/lib/grub/i386-pc/test_blockarg.mod
+usr/lib/grub/i386-pc/test_blockarg.module
+usr/lib/grub/i386-pc/testload.mod
+usr/lib/grub/i386-pc/testload.module
+usr/lib/grub/i386-pc/tftp.mod
+usr/lib/grub/i386-pc/tftp.module
+usr/lib/grub/i386-pc/tga.mod
+usr/lib/grub/i386-pc/tga.module
+usr/lib/grub/i386-pc/time.mod
+usr/lib/grub/i386-pc/time.module
+usr/lib/grub/i386-pc/trig.mod
+usr/lib/grub/i386-pc/trig.module
+usr/lib/grub/i386-pc/true.mod
+usr/lib/grub/i386-pc/true.module
+usr/lib/grub/i386-pc/udf.mod
+usr/lib/grub/i386-pc/udf.module
+usr/lib/grub/i386-pc/ufs1.mod
+usr/lib/grub/i386-pc/ufs1.module
+usr/lib/grub/i386-pc/ufs2.mod
+usr/lib/grub/i386-pc/ufs2.module
+usr/lib/grub/i386-pc/uhci.mod
+usr/lib/grub/i386-pc/uhci.module
+usr/lib/grub/i386-pc/usb.mod
+usr/lib/grub/i386-pc/usb.module
+usr/lib/grub/i386-pc/usb_keyboard.mod
+usr/lib/grub/i386-pc/usb_keyboard.module
+usr/lib/grub/i386-pc/usbms.mod
+usr/lib/grub/i386-pc/usbms.module
+usr/lib/grub/i386-pc/usbserial_common.mod
+usr/lib/grub/i386-pc/usbserial_common.module
+usr/lib/grub/i386-pc/usbserial_ftdi.mod
+usr/lib/grub/i386-pc/usbserial_ftdi.module
+usr/lib/grub/i386-pc/usbserial_pl2303.mod
+usr/lib/grub/i386-pc/usbserial_pl2303.module
+usr/lib/grub/i386-pc/usbtest.mod
+usr/lib/grub/i386-pc/usbtest.module
+usr/lib/grub/i386-pc/vbe.mod
+usr/lib/grub/i386-pc/vbe.module
+usr/lib/grub/i386-pc/vga.mod
+usr/lib/grub/i386-pc/vga.module
+usr/lib/grub/i386-pc/vga_text.mod
+usr/lib/grub/i386-pc/vga_text.module
+usr/lib/grub/i386-pc/video.lst
+usr/lib/grub/i386-pc/video.mod
+usr/lib/grub/i386-pc/video.module
+usr/lib/grub/i386-pc/video_bochs.mod
+usr/lib/grub/i386-pc/video_bochs.module
+usr/lib/grub/i386-pc/video_cirrus.mod
+usr/lib/grub/i386-pc/video_cirrus.module
+usr/lib/grub/i386-pc/video_fb.mod
+usr/lib/grub/i386-pc/video_fb.module
+usr/lib/grub/i386-pc/videoinfo.mod
+usr/lib/grub/i386-pc/videoinfo.module
+usr/lib/grub/i386-pc/videotest.mod
+usr/lib/grub/i386-pc/videotest.module
+usr/lib/grub/i386-pc/xfs.mod
+usr/lib/grub/i386-pc/xfs.module
+usr/lib/grub/i386-pc/xnu.mod
+usr/lib/grub/i386-pc/xnu.module
+usr/lib/grub/i386-pc/xnu_uuid.mod
+usr/lib/grub/i386-pc/xnu_uuid.module
+usr/lib/grub/i386-pc/xzio.mod
+usr/lib/grub/i386-pc/xzio.module
+usr/lib/grub/i386-pc/zfs.mod
+usr/lib/grub/i386-pc/zfs.module
+usr/lib/grub/i386-pc/zfscrypt.mod
+usr/lib/grub/i386-pc/zfscrypt.module
+usr/lib/grub/i386-pc/zfsinfo.mod
+usr/lib/grub/i386-pc/zfsinfo.module
+usr/sbin/grub-bios-setup
 usr/sbin/grub-install
-usr/sbin/grub-md5-crypt
+usr/sbin/grub-mkconfig
+usr/sbin/grub-ofpathname
+usr/sbin/grub-probe
+usr/sbin/grub-reboot
 usr/sbin/grub-set-default
-usr/sbin/grub-terminfo
+usr/sbin/grub-sparc64-setup
+usr/share/grub
+usr/share/grub/grub-mkconfig_lib
+#usr/share/info/grub-dev.info
 #usr/share/info/grub.info
-#usr/share/info/multiboot.info
-#usr/share/man/man1/mbchk.1
-#usr/share/man/man8/grub-install.8
-#usr/share/man/man8/grub-md5-crypt.8
-#usr/share/man/man8/grub-terminfo.8
-#usr/share/man/man8/grub.8
+#usr/share/locale/ast
+#usr/share/locale/ast/LC_MESSAGES
+#usr/share/locale/ast/LC_MESSAGES/grub.mo
+#usr/share/locale/ca/LC_MESSAGES/grub.mo
+#usr/share/locale/da/LC_MESSAGES/grub.mo
+#usr/share/locale/de/LC_MESSAGES/grub.mo
+#usr/share/locale/de@hebrew
+#usr/share/locale/de@hebrew/LC_MESSAGES
+#usr/share/locale/de@hebrew/LC_MESSAGES/grub.mo
+#usr/share/locale/de_CH
+#usr/share/locale/de_CH/LC_MESSAGES
+#usr/share/locale/de_CH/LC_MESSAGES/grub.mo
+#usr/share/locale/en@arabic
+#usr/share/locale/en@arabic/LC_MESSAGES
+#usr/share/locale/en@arabic/LC_MESSAGES/grub.mo
+#usr/share/locale/en@cyrillic
+#usr/share/locale/en@cyrillic/LC_MESSAGES
+#usr/share/locale/en@cyrillic/LC_MESSAGES/grub.mo
+#usr/share/locale/en@greek
+#usr/share/locale/en@greek/LC_MESSAGES
+#usr/share/locale/en@greek/LC_MESSAGES/grub.mo
+#usr/share/locale/en@hebrew
+#usr/share/locale/en@hebrew/LC_MESSAGES
+#usr/share/locale/en@hebrew/LC_MESSAGES/grub.mo
+#usr/share/locale/en@piglatin
+#usr/share/locale/en@piglatin/LC_MESSAGES
+#usr/share/locale/en@piglatin/LC_MESSAGES/grub.mo
+#usr/share/locale/en@quot
+#usr/share/locale/en@quot/LC_MESSAGES
+#usr/share/locale/en@quot/LC_MESSAGES/grub.mo
+#usr/share/locale/eo
+#usr/share/locale/eo/LC_MESSAGES
+#usr/share/locale/eo/LC_MESSAGES/grub.mo
+#usr/share/locale/es/LC_MESSAGES/grub.mo
+#usr/share/locale/fi/LC_MESSAGES/grub.mo
+#usr/share/locale/fr/LC_MESSAGES/grub.mo
+#usr/share/locale/gl/LC_MESSAGES/grub.mo
+#usr/share/locale/hu/LC_MESSAGES/grub.mo
+#usr/share/locale/id/LC_MESSAGES/grub.mo
+#usr/share/locale/it/LC_MESSAGES/grub.mo
+#usr/share/locale/ja/LC_MESSAGES/grub.mo
+#usr/share/locale/lt/LC_MESSAGES/grub.mo
+#usr/share/locale/nl/LC_MESSAGES/grub.mo
+#usr/share/locale/pa
+#usr/share/locale/pa/LC_MESSAGES
+#usr/share/locale/pa/LC_MESSAGES/grub.mo
+#usr/share/locale/pl/LC_MESSAGES/grub.mo
+#usr/share/locale/pt_BR/LC_MESSAGES/grub.mo
+#usr/share/locale/ru/LC_MESSAGES/grub.mo
+#usr/share/locale/sl/LC_MESSAGES/grub.mo
+#usr/share/locale/sv/LC_MESSAGES/grub.mo
+#usr/share/locale/tr/LC_MESSAGES/grub.mo
+#usr/share/locale/uk/LC_MESSAGES/grub.mo
+#usr/share/locale/vi/LC_MESSAGES/grub.mo
+#usr/share/locale/zh_CN/LC_MESSAGES/grub.mo
+#usr/share/locale/zh_TW/LC_MESSAGES/grub.mo
diff --git a/lfs/grub b/lfs/grub
index 2b0544bd7..2c5920f70 100644
--- a/lfs/grub
+++ b/lfs/grub
@@ -1,7 +1,7 @@
 ###############################################################################
 #                                                                             #
 # IPFire.org - A linux based firewall                                         #
-# Copyright (C) 2007-2012  IPFire Team  <info@ipfire.org>                     #
+# Copyright (C) 2007-2014  IPFire Team  <info@ipfire.org>                     #
 #                                                                             #
 # This program is free software: you can redistribute it and/or modify        #
 # it under the terms of the GNU General Public License as published by        #
@@ -24,14 +24,15 @@
 
 include Config
 
-VER        = 0.97
+VER        = 2.00
 
 THISAPP    = grub-$(VER)
-DL_FILE    = $(THISAPP).tar.gz
+DL_FILE    = $(THISAPP).tar.xz
 DL_FROM    = $(URL_IPFIRE)
 DIR_APP    = $(DIR_SRC)/$(THISAPP)
 TARGET     = $(DIR_INFO)/$(THISAPP)
 SUP_ARCH   = i586
+
 CFLAGS     =
 CXXFLAGS   =
 
@@ -43,7 +44,7 @@ objects = $(DL_FILE)
 
 $(DL_FILE) = $(DL_FROM)/$(DL_FILE)
 
-$(DL_FILE)_MD5 = cd3f3eb54446be6003156158d51f4884
+$(DL_FILE)_MD5 = a1043102fbc7bcedbf53e7ee3d17ab91
 
 install : $(TARGET)
 
@@ -72,31 +73,28 @@ $(subst %,%_MD5,$(objects)) :
 
 $(TARGET) : $(patsubst %,$(DIR_DL)/%,$(objects))
 	@$(PREBUILD)
-	@rm -rf $(DIR_APP) && cd $(DIR_SRC) && tar zxf $(DIR_DL)/$(DL_FILE)
-
-	# Applying patches.
-	cd $(DIR_APP) && patch -Np1 < $(DIR_SRC)/src/patches/grub-gentoo-14.patch
-	cd $(DIR_APP) && autoreconf
-	cd $(DIR_APP) && autoconf
-
-	# Build.
-	cd $(DIR_APP) && CFLAGS="$(CFLAGS)" ./configure --prefix=/usr \
-		--disable-auto-linux-mem-opt
+	@rm -rf $(DIR_APP) && cd $(DIR_SRC) && tar axf $(DIR_DL)/$(DL_FILE)
+	cd $(DIR_APP) && \
+		./configure \
+			--prefix=/usr \
+			--sysconfdir=/etc \
+			--with-platform=pc \
+			--with-grubdir=grub2 \
+			--program-transform-name=s,grub,grub, \
+			--disable-grub-mount \
+			--disable-werror
 	cd $(DIR_APP) && make $(MAKETUNING)
 	cd $(DIR_APP) && make install
 
-	# grub files
-	mkdir -vp /boot/grub
-	cp -v /usr/lib/grub/i386-pc/stage{1,2} /boot/grub
-	for i in $(DIR_SRC)/config/grub/*; do \
-	    [ -f $$i ] && cp -f $$i /boot/grub; \
-	done
+	-mkdir -pv /boot/grub
+	touch /boot/grub/grub.cfg
+	ln -svf ../boot/grub/grub.cfg /etc/grub2.cfg
 
-	# generate default file
-	grub-set-default 0
+	-mkdir -pv /etc/default
+	install -m 644 $(DIR_SRC)/config/grub2/default /etc/default/grub
 
-	# Disable PaX mprotect for grub
-	paxctl -m /usr/sbin/grub
+	# Disable hardening.
+	paxctl -mpes /usr/sbin/grub-bios-setup /usr/sbin/grub-probe
 
 	@rm -rf $(DIR_APP)
 	@$(POSTBUILD)