xxxxxxxxxx+:::.::::.::::::::..:::::::::::::::::++::::.....::.......:::+::..::.........:::.....:::...::::......::::::..:..... . ::::...:. .::...:.:. .......:::::::......::::...::......:::.:. .....:...::+:::.......:......::::++:::::::::::::::::.:::::::::.::::::::+xx$x++++xxx
xxxxxx+++:::....:::::::....:.:::::::::+::::.::+::::.:::..:::..:. .:+:+:::::.........::::::.. ...::..... .::+:...::....::. .:..:.....::........ .::....::...:+::. ......::... ..::::::.........::::::++: .::..:::..:::.:::::::.::::::::::::::..:..::::::::...::::++x$xxxxxx
x+xx+:::::::++xxxxx$$$xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx++xxxxxxxxxxxxxxxxxxxxxxxxxx+++xxxxxxxxxxxxxxxxxxxxxxx++xxxxxxxxxxxxxxxxxxxxxxxxxx+xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx$xxxxxxxxxxxxxxxxxxxxxxxxx+::::::::xxxxxx
xxx:::::+$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$&$&$$$$&$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&$&&&&$&$$&&$$$&&$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$&&&$$$&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$x+:::::+xxx$
x+:::++$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$&$&&$$&$$$$&&$&&$$$$$$$$$$$$$$$&$$$$&&&$&&&&&&&&&&&&&&&&$&&&&&&&&&&$$$$&&$$&&&&&&&$&$&$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$&&$$$$$&&$$$$$$$$$$$$&$+:::::xxx
x++::x$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$&$&&&$&$$$$$$$&$&&&&$$$$$$$$$$$$$&$$&&$&&&&$&&&&&&&&&&&&&&&$$$&&&&$&&&&$$&&&$$$&$&&&$$$$$$&&&&&&&&&&&&&$$$&&&&&&&&&&&&&&&$&&$&&$&$$$&$&&&$$$$$$&&&&&&&$&&$&$$$$&&&&&$&&$$$$&&$&&&$&&&&$$$$$&&&&&&$$$&$x:::++xx
x+:+x&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$+:+&&&&&&&&&&&&&&&&&&&&&&&&$&&$&&&&$$&$&&$:.....x$&&&&$$&$$$&$&$$$&&&$&&&&&&&&&&&&&&&&&$$&x..$&$&$$&&&&&&&&$$$$$$+..++.+&&&+::::::::$x..+&&&&&&x:.....+$&$$&&$&&&$$&$&$&&$$$$$&$$$$$&&&&&&&&$&&$&$$$$$$$$$$$&$$&&$&&$$$$$$&&$&$$$$$$$$+:::+xx
+::+&&&&&&&&&$&&&&&&&&&&&&&&&&&&&&&&&&:.:&&&&&&&&&&&&&&&&&&&&$&&&$$x:+&$&&&&&&+.:$&$x:$&$$&$$&&&$&&&&&&&$$&&&&&&&&&&&&&&&&&&&&$$$..$&&&&&&&&&&&&&&&&&&x..$&&&&&&&$..$$$$+.$&:.+&&&&&&$..+&$x..x$&$$&&$&&$$$+:x$$$$$$$$$$$&$$&$&$$&&&&&&&&&&$$$&$$$&$$&&&&&&&&&&&$$&&$&&$$$&$$+:::+x
+::+&&&&&&&&&&&$&&&&&&&&&&&&&&&&&&&&&&:.:&&&&&&&$+:::x$&&$$x+::+x$x+.:$x$&$$$$:.:$&$$$&$+++$$$x+x&$&x+:x&$$+:::x$&$x++$x++$&$$+::..$&&$&$&&$$+::+x&&$x+.:xx&&&&&$$..$&&&&&&&:.+&&&&&&&..x&&$:.+&x+:..:x$$$x..+x$x++$+++$$$x:::+$$$$xxx$xxx$&&$$&&$&&&&$&$&$$$&$&&&&$$&&&&&$$$+:::+x
:+:+&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&:.:&&&&&&:.:&&+..x&$..x&$.+xx+..xx&&$&&$x....x$$$$:.:&&$:..$$$x.:&$..+$&+..$&x...+..$x..x&$..$&&&&&&&:.:&&+..$$x+..xx&&&&&&$..:.:.:$&&:.+&&$&&&&..x$+...$&::$&$..x$xx..:x$+...+.:&+..$&x..+&&+..:x+..x$$$$&$$$$$$&$&$&$&&&$&&$$$&&$&$$$+:++:+
:::+&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&:.:&&&&&+..&&&&+.:$x..:+$&&&&x.:&&$$&&$&$$$$:..:$$$..$$+...:$$..$&+.:&&&&:.+&x..&&&&x..$&&$..$&&&&&&:.:&&&&:..&&x.:&&&&&&&&$..$$&&&&&&:.+&&&&&&$..:xx$&&$$$&$+:..x&$$:.+&&x..$$$$x..$&$&x..$$+.+&$&+.:&$&$$&&$&&&&&&&&&&&&&$$$$$$$$$$$$+::::x
+::+&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&:.:&&&&&+.:&&&&+.:$&$+:...+$&x.:&$$$$$$$$$$$$x..+$$:.x$.:$..$+.+&&:.:&&&&:.+&x..&&&&+.:&&$$..$&&$&&$:.+&&&&:..&&x.:&&&&&$&&$..$&&&&&&&:.+&&&&$&$..+&&&&$&$+..+x:.x&$$:.+$$x..&$$$x..&$$$x..$&+.+&&&+.:&$$$$$&$&&$&&&&$&$$&$$&&&&$&&&&&$+::++x
+::+&&&&&&&&&&&&&&&&&&&&&$$&&&&&&&&&&&:.:&&&&&x..$&&$..+&$$$$$$..$&+.:&$&&$$$$x+$$$+..$$$x...:&$:.:.+&&&+.:&&&$..$&x..&&&&x..$&&$..$&&$&$&+..$&&$..+&&x.:&&&&&&&$$..&&$&&$&&:.+&&&&&&$..+&$$$$$$..$$$:.x$$$:.+$$+.:$$$$$..x$$$:.:&$+.:&$$+.:&$$&&$$&$$$$$$$$&$&$$&&&&&&&&&$&$+:::+x
+::+&&&&&&&&&&&&&$&&&&&&&&&&&&&&&&&&&$:.......x+..::..x&$:..::.:$&&x..+&$$$$$$:.....:&$$$$+..$$$$:.:&$$&$:..:...x&&x..+&&$$+.......:$&$$$&&x..::..$&&&x..$&&&&&&&+........$$:.:$$$$$$$...$$$$$$$:......:$$$:.:$$+..+$$$$x..::..+&$$+.:$$$+..$$&&&$$&$&&$$&$$&&$&&&$&&$&&&&&&$+:::+x
:+:+&&&&&&&&&&&&&&&&&&&$&&$&&$&&&&&&&&&&&&&&&&&&&$$$$&&$$$$$$$$&&$$$$&$$$$$$$$$$$$$&$$$$$$$$&$$$$$$&$$$$$$$$$$$&&$$$$&&&$$$$$$$&&$$&&$$$$$$&$$$$$&&&&&&&&&&&&&&$$$&&&&&&$&$$$$$$$$$$$$$$&&$$$$$$$$$$&$$$$$$$$$$$$$$$$$$$$$$$$$&$$$$$&&$$$$&&$$$$$$$$$$$$$$$$$$&&$&&$&&$&&&&&$:.:+:x
:+:+&&&&&&&&$&&$&&&&&&&&&&&&&&&&&$&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&$$$$$$$$$$$$$&&&$$$$&&&&&&&&&&&&&$&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&$$$$&&&&&$+::::x
+::+&&&&&&&&&$&&&$&&$&&&$$&$$&$$&&&$&$&$&&&&&&&&&&$&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&$$&&$$&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&$&$$$$+:::+x
:::+&&&&&&&&&&&$&&$&&&$&&$$&$&$$$$&&&&&&&$&&$&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&$$$&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&$&$$$$$$+::::x
:::+&&&&&&&$&&&&&&$$$$$$$$$$$&$$&$$$$$&&$$$$$$$&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$xx$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ $$$$$$$$$$$$$$$$$$$$$$$$$$x::+x$$$$$$$$$$$$+ $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$xxx$x$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&$$$$$+::::x
:::+&&&$&&&$&&$&$&&$$&&$$$$&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$+ $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ $$$$$$$$$$$$$$$$$$$$$$$x :$x :$$$$$$$$x .$+ $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$xx$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&$$$$$$$$$$$$$+::::x
+++x&&&&&$&&&&&&$$&$&$$&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$: $$$x $x .x $ x$. + $ +$+ x$$$ $$$$$x $$ + : x$ x :x$$$$$$$$$$$$$$$$$$$$$$$$$$$x$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$+++++x
++:+&&&&&$&$$$$&&$$&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$xx$$$$x$$$$$$$$$$$$x$xx$$ x$xx x+ x x$+ + x: x $$ $: $x $+x+: $ $$$ +x &$$$ +$$$$$x $$ xx x$ $xxx+ x :xx$ +x$$x$$$$$$$$$$$x$$$$$$$$$$$$xx$xxxxxxxxx$$$$$$$$$$$$$$$$$$$$$$$$$&$$$$$$$$$$$$$+::++x
:::+&&&&&&&$&&$$$&$$$&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$xxxx$$xxxxx$$$$$xxxx$$xxxx $$x +$$$$ $ x$$$+ $x $ $$. :: $. ++ $$$: $$$$x x$$$$$ $+ $+ $x x +x $x+ .xx xxxx$$x$$$$$$$$xx$$x$$xxx$xxxxxx$xxxxxx$$$$$$$$$xxxxxxx$$$$$$$$$$$$$$$$$$$$$$+::::x
:::+&&$&&$$&$$&$$$&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$xx$$$x$xxxxxxxxxxxxxxx$$$$x + :xx $ +$. x x x :$$x+ +$$x$$x: $ $ $ +: : : $$xxxxxx$$$$$$$$$$$$$$x$$$$$xxxxxxxxxx$xx$$$$xxxxxxxxx$xx$$$$$$$$$$$$$$$$$$$$$+::::x
:::+&&$$&$&&&$$$&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$x$$$$$$$$xxxxxxxxxxxxxx$$xxxx$$$x$$$$$$$x+x$$. $x $xx+x$$$x$$$x$$$$xx$+$$xx$$x$$x$$$xx. :$xxxxxxx$xx$$$$$x$$x$$$x$$xx$$$$$$x$$xx+x$xxx+x$$xxxxxxx$$$$$xx$$$$$$$$$$$$xxxxxxxxxxxxxxxxx$$xxxxxxxxxxxxx$$$$$$$$$$$$$$$$$$$$+::::x
:::+&&&&$$&$$&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$x$$xxxx$$$xxxxxxxxxxxxxxxxxxxxxxx$xxxxxxxxxxxxxxxxx $xx$$$$$$$$$$$$$$$xxxxxxx$xx$xxx$$x $xxxxxxx$x$$xxxx$$$$$$$$$$$x$$$$$$xx$$x$$xxxxxxxxxxxx$$x$x$$x$$$$$$x$$$$xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx$$$$$$$$x$$$$$$$$$+::++x
:::+&&$&$$&$$&$$&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$xx$$$x$$x$$xxxxxxxxxxxxx$xxxx$xxxxxxxxxxxxxxx$x$$$x$xxxxx$$xxx$$x$xxxxxxxxxxxxxxxxxxxxx$$$xxxxxxxxxxx$xxxx$$$xxx$$xx$$$$$$x$$$x$$$$xxxxxxxxxxxxx$xx$$$$$$$$$$$$$$$$$$xxxxxxxxxxxx$xxxx$xxxxxxxxxxxxxxxx$$$$$$$$$$$$$$$$$$$$+::::x
:::+&&$$&&$&$$&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$x$$$xx$$$$xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx$xxxxxxxxxx$xxxxx$x$xxxxxx$xxxxxx$xx$xx$xx$$$$x$$x$$$xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx$$$$$$$$$$$$$$$$$$$$+::::x
:::+&&$$$$$$&$$$&&$$$$$$$$$$$$$$$$$$$$$$$x$$$$$$$xxxxx$$xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx$xxxxxxx$$xx$$x$xxxxxxxxxx$xxxx$x$$xxx$$$$xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx+++xxxxxxxxxx$$$xxxx$$$$$$$$$$$+:::+x
:::+&&$&$$&$$$&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$xxxx$xxxxx$$xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx$xxxxxxxxxxxxxxxxxxxxxxxxx$xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx+xxxxxxxxxx$$xxxxx$$$$$$$$$$+::::x
:::+$&$$$$$$$$&$$$$$$$$$$$$$$$$$$$$$$$$x$$$$$$$$xx$x$$xxxxxxxx$xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx++++xxx++++++++++++++++++++++++++++++x+++x+xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx$$$$$$$$$$$$$+::::x
:::+$&$$&&$&&$$$$$$$$$$$$$$$$$$$$$$$$xx$$$x$$$$$$xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx+++xxx++++++xx+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++xxx++x+xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx+++xxxxxxxxxxxxxxxx$$$$$$$$$$$$$$+::::x
:::+&$$&$$$$&$$$$$$$$$$$$$$$$$$$$$$x$$$$$$$$xxxxx$xxxxxxxxxxxxxxxxxxxx+xx+++++xx+++++++++++++++++++++++++::::::::::::::::::::::::::::::::::::::::::::::::::+++++++++++++++++++++++++++xx++xx+xx+xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx++++++xx+xxxxxxxxxxxxxxxxxxxxxxx$$$$$$$$$$$$$+::::x
:::+&&$$$$$$$&&$&$$$$$$$$$$$$$$$$$$x$$$x$xxxx$$xxxxxxxxxxxxxxxxxxx++++++++++++++++++++++::+++:::::::::::::::::::.::.................................:.::::::::::::::::::::+++++++++++++++++++++++++++++++++++++xxxxxxxxxxxxxxxxx+++++++xxxxxxxxxxxxxxxxxxxxxxxxxx$$$$$$$$$$$$+::::x
:::+$&&$&&$$$$$$$$$$$$$$$$$$$$$$x$$$$x$xxxxxxxxxxxxxxxxxxxxx++++++++++++++++::::::::::::::::::::::::................. . .................::.:::::::::::::::::::::+::+++:::++++++++++++xxxxxxxxxx++xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx$$$$$$$$$$$+:+::x
:::+$$$$&$$$$$$$$$$$$$$$$$$$$$$$$xx$xx$$$$x$xxxxxxxxxxxxxxx++++++++++:::::::::::::::................... ......................:::::..::::::::+:++++++++++++++xx++++++xxxxxxxxxxxxxxxxxxxxxxxxxxxxxx$$$$$$$$$$$$$$+:+::x
:::+$$$$$$$$$$$$$$$$$$$$$$$$xxxxxxxxxxxxxxxxxxxxxxxxxxxxx++++++:::::::::::............. ..... ..........::::::::+++++++++++++++++x+++xxxxxxxx+++++++xxxxxxxxx$x$$$$$$$$$$$$$$$$+::+:x
:::+$$$$$$$$$$$$$$$$$$$$$$$xxxxxxxxxxxxxxxxxxxxxxxxxxx+++++++++:::::........ .... ...:::::+++++++++++++++xxxxxxxxxxxx+++++xxxxxxxxxxx$$$$$$$$$$$$$$$$$+.::.+
.::+$$$$$$$$$$$$$$$$$$$$$$$$$$xxxxxxx+xxx+xx+++++++++++++++:::::::..... .+x+ .....::::+++++++++++xxxxxxxxxx+++xxxxxx++xxxxxxx$$$$$$$$$$$$$$$$$$$+::.:x
:..+&&$$$$$$$$$$$$$$$$$$$$$$$$$xxxxxxxxx+++x+++x++++++++++::::..... :++x$&&$+ ....:::::++++++++xxxxxxxxxxxxxxxxxxx+xxxxxxx$$$$$$$$$$$$$$$$$$$$+...:x
:+:+$&$$$$$$$$$$$$$$$$$$$$$$$$$$$xxxxxxxxx+++xxx+++++++::::::.... :+$&&&&&&$: ....::::+++++++xxxxxxxxxxxxxxxx+++xxxxxx$$$$$$$$$$$$$$$$$$$$$$$+::::x
+::+$$&$$$$$$$$$$$$$$$$$$$$$$$$$xxxxxx+++++++xx+++++++:::::... .:+++x&&&&&&&&$+. ....:::++++++++xxxxxxxxxxxxxxxxxxxxxxxxxx$$$$$$$$$$$$$$$$$$$$+:::+x
:::+$$$$$$$$$$$$$$$$$$$$$$$$$$$$xxxxxxxxx++xx++++++++:::::... +$$&&&&&&&&&&&$x+ ...:::+++++++xxxxxxxxxxxxxxxxxxxxxxx$$$$$$$$$$$$$$$$$$$$$$$+.::+x
:::+$$$$$$$$$$$$$$$$$$$$$$$$$$$x$xxxxxxxxxxxx++++++++:::.... ...:x&&&&&&&&&&&$x+ ..::::+++++xxxxxxxxxxxxxxxxxxxxxxx$$$$$$$$$$$$$$$$$$$$$$$$+::.:x
:::+$$$$$$$$$$$$$$$$$$$$$$$$$$xxxxxxxxxxxxxxx++++++++:::... .:+++++$&&&&&&&&&&&&&$xx+. ..:::++++xxxxxxxxxxxxxxxxxxxxxxxxxx$$$$$$$$$$$$$$$$$$$$$$+::.:x
:::+$$$$$$$$$$$$$$$$$$$$$$$$$$xxxxxxxxxxxxx+++x++++++:::... .:+xxx$$&&&&&&&&&&&&&&&&&&$x: ..:::++++++xxxxxxxxxxxxxxxxxxxxx$x$$x$$$$$$$$$$$$$$$$$$$$+::::x
:::+$$$$$$$$$$$$$$$$$$$$$$$$xxxxxxxxxxxxxxxxx++x++++::::.. ...:+x$&&&&&&&&&&&&&&&&&&&&&&&$x+. ..::::+++x+xxxxxxxxxxxxxxxxxxx$$$xx$$$$$$$$$$$$$$$$$$$$$$+::::x
+::+$$$$$$$$$$$$$$$$$xxxxxxxxxxxxxxxxxxxxxxx++xx++++:::... .x&&+ ::::... .++x+++++x&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$x. ...:::++++xxxxxxxxxxxxxxxxx$$$$x$$$$$$$$$$xxx$$$$$$$$$$$$+::::x
:::+$$$$$$$$$$$$$$$$$$$xxxxxxx$$$xxxxxxxxxxxx++++++::::... :&&&&&&+ .+xx$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$::$x+: ..:::+++++xxxxxxxxxxxxxx$$$$x$$$$$$xx$$$$$$$$$$$$$$$$$$$$+::::x
+::+$$$$$$$$$$$$$$$$$$$$xx$$$$$xxxxxxxxxxxxxxx++++++:::... :$&&&&&&&&x .:++xxx$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&x$x:::. ..:::++++xxxxxxxxxxxxxxxxx$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$+:::+x
:::+$$$$$$$$$$$$$$$$$$$$x$$$$$$$$$$$xxxxxxxxxxxxx++++:::... x&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$x$x++:. ...:::+++xxxxxxxxxxxxxxxxx$$$$x$$$$$$$$$$$$$$$$$$$$$$$$$$$+:::+x
:::+$$$$$$$$$$$$$$$$$xxxxxx$$$$$$$$xxxxxxxxxxxxxx++++:::... $&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$x++: ..:::++++xxxxxxxxxxxxxxxx$xxx$$$$$$$$$$$$$$$xx$$$$$$$$$$$$+::::x
:::+$$$$$$$$$$$$$$$$$$$$$$$$$$$$xxxxxxxxxxxxxxxxxx++++++x$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$x+:. ..::::+++++xxxxxxxxxxxxxxxxxxxxxxxxxx$$$$$$$$xxx$$$$$$$$$$$+::++x
:::+$$$$$$$$$$$$$$$$$$$$$$$$$$$$xxxxxxxxxxxxxxxxxx:+$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$x+:. ...:::+++++xxxxxxxxxxxxxx$xxx$xxxxx$x$$$$$$$$xxxx$$$$$$$$$$$+::++x
:+:+$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$xxx$xxxxxxxxxxx+$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$xx: ...:::++++++xxxxxxxxxxxxxxx$$xxx$$$$$$$$$$$$$$$$$$$$$$$$$$$$$+::++x
:::+$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$xxxxxxxxxxxxx+x$$$$$&&&&&&&&&$$$$xx$&&&&&&&&&&&&&&$x: ....::::++++++xxxxxxxxxxxxx$xxxxxxxx$$$$$x .:$$$$$$$$$$$$$$$$+:::.x
..:+$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$xxxxxxxxxxxx++++++::... +&&&&&&&&&&$. ...:::::+++++++++xxxxxxx+xxxxxxxxxxxx$$$+ .$$$$$$$$$$$$$$+:...+
...+$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$x$$xxxxxxxxx++++++::::.... :&&&&&&&&&x ....::. + xx +xxxx+ xxx . $$xxxx . .x$$$$$$$$$$$$+:...+
:..+$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$xxxxxxxxxx++++::::::.... .$&&&&&&x. ....::::+++++. xxxx +xxx xxxxxxxx xxxx$$ . ... .+$$$$$$$$$$$$+:..:x
:.:+$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$x$$$$xxxxxxxxxxxx+++++++::::...... :$&&&&x. .........:::::++++++ :xxxx +xx: .xxx $$xx$xx. .:+x. x$$$$$$$$$$$$+::.:x
:.:+$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$xxxx$xxxxxx$xxxxxxxxxxxx+++++++:::::.....$&&$: ....................:::::::+++++++. $xxxxx +xx. +xx+ xx .xxxx$$xx . :: . $$$$$$$$$$$$$+:..:x
:::+$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$x$$$$$$xxxxxxxxxxxxxxxxxxx++xx$$$$$$x+++x$&$+............... . .. . .. . . . ... .....................:..:.:::::::::::+::+++++++ xxxx :xxx xxx xxxx$xx$xxx. .$$$$$$$$$$$$$$$+:::+x
++:+$$$$$$$$$$$$$$$$$$$$$$$$$$x$$x$xx$$$$$$$xxxxxxxxxxxxxxxxx$$$$$$xxxx$$&&$&&&$x::::::....:.........................................................................::.:.....::::.::::::::::::::::+++++++++++x++xxxx$$xxxxxx$xxxxx++$$xxxx$xxxxxxxxxx$xx$$$$$$$$$$$$x$$$xx$$+::++x
.::+$$$$$$$$$$$$$$$$$$$$$$$$$$$xxxx$xxxxx$$$x$$xxxxxxxxxxxx+xxxxx++x+++++++++++++++:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::.....::::::::::::::::::::::::::::+++:::::::::++++++++xxxxxxxxxxxxxxxxxxxxxxxxxxxxx$xxxx$$$x$x$$$xxx$$$$$$$$$$$$xxxxxx$$+.::.+
...+$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$xx$xx$xxx$$$$$$xxxxxxxxxxxxxxxx+++++++++++++++++++++++++++:++:::::::::::::::::::++++++++++++++++++++++++:::::::::::.:::::::::+++:::::::::::::::::+++::+++++++++++++++++xx+xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx$xxxxxxx$$$$$$xxxxxxxxxxxx+....+
:..+$$$$$$$$$$$$$$$$$$$$$$$$$$$$$xxxxxxxxxxxxxxxxxxxxxxx++xxx+x+xx++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++:+++::::::::::::::::::+++::::::+:::+++++++:::++::++++++++++++++xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx$$xxxxxxxxx$$$xxxxxxxxxxxx$+:...x
:::+$$$$$$$$$$$$$$$$$$$$$$$$xxxxxxxxxxxxxxxxxxxxxxxxxxx+x++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++xx+++++++++++++:+++:::::::::::::+++++++::+:::::++:+++++++::++++++:+++++++++xx++++xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx$+::::x
:::+$$xxxxxxxxxxxxxxxx++++++++++++++++++++++++:++:::::::::::::::::++::::::::::::++::::::::::::::::::::::::+:::::+++:++++::++++++++:::::::::::::::...::::::::::...::.::::::::::::::::.::::.::::::::::::::::::::::::::+++::+++++++:++++++::++++:+++++++++++++++++++++++++xxxxx$+::::x
:::+$$xx+++++++++++++++:::::::::::::::::::::::............................................................................................... .......... . . .......... ....... .. ............................................:::::.::::::::::::::::::+++++++x$+::::x
+::+xx++:::::::::.............. .................::::::+$+::::x
::::xx....... ......:$+::::x
::::+x .$+::::x
::::++ .$+::::x
+:::++ x+:.:+x
::::++ x+ $+::::+
.:::++ :&+ . . $x x$x+x xx$ .x+::..x
...:++ $ $. $&&&x&&&$.&x:$. $x$& $x &+ xx +x& x$x$ .x+:...x
::::++ $ :& +x $ +$ $ $$$. . +x$x+ xx$.x$ .x+.:::x
::::++ x+ x: +x $ $: $ .$ $xx$ x$x x$ .xxxx$xx $+::::x
+:::++ $ $. +$ $. .&++$& xx .. $x $$ :+ .x: +x$. x$ x+.::+x
::::++ .x+::::x
::::++ .x+::.:x
::::++ .x+::::+
::::++ $$$$$$$$$$$$$$$$$&$$$&&&&xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx$$$$$xxxxx++++++::::::.. .$+::::x
::::++ .$+::::x
++::++ $+::++x
::::++ $+::::x
::::++ .x+::++x
::::++ $+::::x
::::++ $+.:::x
::::++ .:+:. .x+::++x
::::++ .........:+:..::. ... :::x .x+::++x
:+::++ .:...x&&&&&&&&&&x:. . .:.:xx+.+x+.$: ++ :.:++:.$ .. &: $+::++x
.:::++ .x:.+$$::$$xxx&&&&&&&&&$:::. :..$: : :.x:::+ :..::. ::..:x::.::+ :.x ::..:: :::+::x::+:::+:::: &+ $$ & $$ $+::..+
...:++ .+..+&&&$::::+$x:+x$&&&&&&&x. +.xx :.+xx.:$::.x$x.:x+.+&$:$xx.:$$ :.::::x::.x$x::xx..+++$..+$:.:xx.:x &. :x .x::&. &+x$x :$ $x ++ .x+:...+
....++ . +&&&$x::xx+++xxxx::x$$&&&&&+ . +.$: .:.++:.$. :.$+.x$ +.xx:..:+: ..++ :.x+:::+.x$ +.+$.:$ ...$ :.x+:.:& :$ &. :& .+ $ &&& $$ .x+:..:x
:.::++ :..$&&&$x:.::++xxxx+:..:xx$$&&&&$ +..x +.++:.$. :.$x.+x ::.$::.++.++:.++ :.x :.+$ ::.$x.:$ ..:$ :.x:..:& x &. $ :$ & x. & $$ :& .x+::.:x
:.::++ :.x&&$$x+.:. .$ .++.+.::x&&x$+.. ::..:::.x+:.+x :.x++..:.:$$:.::.:$...:x :.+. +..:.:$x+.:$ ...$.:.+x:..& & $++&++$+ $ & :$ +$ $++x: .$+::.:x
:.::++ .:&&$x+:::.+x$$x.+x$xx:. x$:x$$xx$+:. .+xxx+: ++ +: .x$$x +$$$+ +x. .$x .x$$x :+: :+: ++ .+: .x+::.:x
+:::++ .$&$$x:.. : .x&&$x. ::$+++.+x&&x.: .x+:::+x
::::++ : .$&$x:. + +:++::::+&&&$... .x+.:::x
.:::++ .::$&$x: .x$. .$...:.: :+$&&&&. . . :: :x .+ : x+:::.+
...:++ :$$$x:+xxxxxx$$$xx$$$$$$$$x.++x&&&$. . .. & x$ +x $+ : & . $ $x $ $+....+
:..:++ :.+&$x+. xx+$$$$:.:. ..+xx$&&&+. $ x xx& : .++x +x:+x $$:+$. :++$. $+:x+ &: .& x: xx $ & .$ x+...:x
::::++ . ::$&$x+. ..+xx$. :.+xx$&&&$.: $+ :. x & .+ x+ xx .x & $+ & :x & $ :&$ x$x. $ :. .& $x .$+::::x
::::++ .. :$&$x+.. .:. .+xx. .++xx$&&&$. :. &: +x &+. & $ + :& & +$ &. :. :. :$ $ xx $ & + x .$+::::x
+:::+x ..x&$x+:.:+++ .+xxx::+x$$$&&x.. $+ x &: x$+x .$x+& x$x: $xx+ $ $ x$xx $ +$ +: :$ $ x .$+::::x
++::xx :.x$$$x+x++:::++xxx++xx$&&&x .. $ .$+::::x
::::++ ::+x$$$$$x+xxxx$$xx$$&&&+ : .$+::::x
::::++ . +::+$&&&&&&$$$$$$$:. .$+::::x
+:::++ ..:::+::+xxxx+::++.:. .+ : :xxx .: +xx +: :: .$+:::+x
::::++ .. .:.:::: .. & .& . :& $ $ $ +x $+ :x x+::::x
::::++ & $ $x$$ $+$. :$ xx $x$x +$+$$ x$&$. xxx$ :&x$$. $+.$: $ $&$x :$+x$ $x:$ $+x$$:$$x xx.x$ $x $$+ x+$: $&&$ $$$$ :$+$: x$x$$:x$$ $x:$x $+ :x x+:::.+
.:::++ $$x: $ &. &: $ & x. $. :$ & $ +$ :$ & .$ $ & :+ $ .x $ &+ $. & :x & &: $+ $+ $$ x+ & x$ +x +: .$ $+ .x .$+::.:x
....++ & $ &. & + &. :$ & $ x& :& & x: & $ & x. $ &x x $ &: $. .x & $$:$. &: $+ $x &: $ xx ++ +: xx $ $+ .x .x+...:x
:+::++ & $. $$ : +&. .$. : :$ & & x: :x :& & &::$& $. & .&:+$$ &+:$$ $. &x $: $+ x&: +&x +$ : $x $$ $ $x x$ +$ ++ $+:$$ $x .$ .x+::::x
::::++ $ $x x+.:::x
+:::++ $$:+$: $+.::+x
::::++ $: x$ xx .x+::::x
::::++ :: + $: +& : . .x .x+::.:x
::::++ .$::& $&&$+$&$: $+:& .$+x+ $: .$ x$:$. :$::& &x$$$ +$:$& x$ &xx$$ .$+$x.&$$$ $+$: &+.$x +$+$x $+$$ $+$x &+.x: x$&$x$&&x $+.$$ $xx$ .x &+ .$+::::x
::::++ :&+ xx & .x: .& $$$ &x :$x & x $+ +& +$ $: :+ x$ & & :&: x$ &x $. $: x$ .+$ $ +: +& $ .$$. .$+::::x
::::++ .x $+ xx & $ .: :& $::$ $: .$ $x & x $+ +$ +$ $: .+ x$ & & $ .$ $x & +$ & $ $ +: $. & & .x $+ .x+::::x
+:::++ :$.+&x x$ &: &:x$+ $$ . xx $+.x .$ :$:x&$ & x. +$:+&& :$ x+ .$ $+ . &: +x..+ $::$$ + $ .$. : x $: &++$& & +$ $+:$& :&:.. .$ x$ .$+:::+x
+::.++ $+:::+x
::::++ x+:::+x
::::++ .$+::::x
::::++ $ x+::+:x
::::++ &. :& :$ +x :$ &. xx :+ :$ x&:x $ x+.::.+
.:::++ $ +: $ &. x x$$ $ &:.:$. +: $ .$+::.:x
:...++ $ & $. .& $:. xxx & +. .x+...:x
:+::++ &x+ x$$x x+ $ $$$x ++ $ .x+::::x
::::++ $ x+.:::x
::::++ x .x+.:++x
::::++ .x+::.:x
::::++ .x+::.:x
::::++ .$+::::x
::::++ .$+::::x
++::++ .x+::::x
::::++ .. ::x .$+:::+x
+:::++ :.:$$&$$$+.. +..xx+..++ +.+: +.+x +.:& :.x+ &: $+:::+x
::::++ .:$$xxx$$x$$&$.. :.$ +.:x::+::+::..:+ +:x:::+:::: +.+. :.$+ :::::: :::::. :::..x+ :::::: :::::: &x $$ $ .. $$ $+:::+x
::::++ .:&$$xxx++xx$$&&. :.$ :..$+.:x:x:+$$:.x +.+:x.:x$:.x ...x ..+x :.x&x..$::.x$x.:x...$$+.x+:.:$$:.x::.+$x..x &. :x .$:+&. &++$+ :$ $x ++ x+::::x
::::++ :&&$xxx: xx$&&&&:. :.$ +.:$:.$: .+....x.:.+.+.+. :.+ :.+$:+$ ...x +.+$.:x :.$x.++ :.x$:.$ :.+$.:$ :.x+ :$.& .& .x $ &$&. $$ .$+:::+x
::::++ .x&&$$xx + +x$$&&&+. :.$ +.:&+:.$. ..$x:.x.:.+.+.+. :.+ +.::&. ..x :.$$.:+ :..&x.+: :.xx:.x :.x$..x :.$+ x & $ :$ $ x. & $x :& .x+::++x
::::++ +&&&$$x : x$$&&&&+ :..+:.:+$: :.x+ ..::..x:+.+:+.+: :.+. :..x: +.:+:.+$::.:+..x$:..::..+x+..+:.:$:+.:+:.+$ & &+x&:+$+ $ & :& x$ $::$x .x+::++x
::::++ :$&&&&$+. &&&&&&&. xx$$x: ++ +$x+xx :: ++ x+ :$+ x$$$: .$$$x +$xxx$: +$$$: x$$x. $+:::.x
.:::++ .$&&&&x+:$&&&&x. $+:...+
....++ .+$&$:: +&&x. .x+:...+
....++ :.+:+:::.. . $x &+ & .x+:..:x
:.::++ $ :x +x ++ $ .$+::.:x
:.::++ $x :$&+ $:+$ x+ .$ :x x+.x. $$ &. .x:+$ x+.x+ x+.$+ +x.+x x+.$+ $+ :$ & $x+x$ x::x :$+:xx .x+::.:x
:.::++ +&+ +$ +: +$ $ :x &: & x: .$ :x xx &+ $ ++ $ x$ $: & $ $&: :$ $ +. x$ +& $ & .$+::::x
++::++ +$ :$ +. x$ x +x &: .x.. .$ ++ xx &: & ++ .$ xx &: & +:+ $.x $ +. xx $ & $+.:++x
.:::++ .$xx+ :$ &$+x +$x+$+ :$ .x:x+ xx :$+$x xx+$. $xxx$ x$+$: xx+$. &: :$ $+ ++ $x+x. $ & x+:::.+
...:++ x+:...+
:..:++ x+....+
:.::++ .$ .x .& .$+::::x
::::++ $ x & .$+::::x
::::++ x: $ x .x $&: $&. & ++ $ & .& +$ x&+ &. &. &+ :$. &$.+& :& .& $: $x &$. & $ $. &$.$&x $$ :x x .$+::::x
+:::+x ++ $ :xx$ $+ xx +: xx&: $ & :$ x. :+ & &x $ $ & $$x$&x $x$$$ $ x: &$x$&$ $ $ .$ $: x+ .$+::::x
::::+x ++ $ $ $ $+ xx +: xx x: +xx+ :& x. :+ :xx+ $ $ & $. x $ x: $x $ $ .$ .&+x .$+::::x
::::++ x$$:$. x$$+$ xx +x :+ .$$x$x $$&$: :$ +x .x $$&$: $ $. $. $$$$ +$$$x $+ xx x$$$: $ $ .$ .x $+ .$+::::x
::::++ & x+ $: x$ & .$+::::x
:+::++ .:: .::. . .$+::::x
:+::++ .$+::::x
:+::++ .$+::::x
::::++ .$+::::x
::::+x .$+::::x
::::++ .$+::::x
::::++ .$+::::x
::::++ ... .x+::::x
:+::++ :.+$&&&&$+.: :: .. .$+::::x
::::++ .+$&$$x$&&&&&$.. $ :+ :$ ++ . x$ .x+::::x
++::++ :+$+ x&&&&&&. &+ +$ & +x .&+$: .$+$: &$$x&: :+ $: $+x$ :$+$$ &xx$ $&&$ + $+ .$+::::x
::::++ :+: :x$&&&&&$&&:. :&x $ x&& $ & $: &. .$+ $. .$ :x $$ & :& +x x: +&. xx ..&+. $$ .$+::::x
::::++ + .$&&&&&&&&&&x++: +$ :$x+ $x$ & & $: xx :x & & :& +x $. :$ x$ $: &: .x+::::x
::::++ + +$&&&&&&&&&$:.x. .$.+x $+ &. +$:.: x$..+ $x+x. x$:+$: +$.:$ x+ xx x. x+ x$ : .$:+$+ .x+::::x
++::++ :x: .+$$&&$x. x$: $: .$+::++x
++++++ .:$&&$$$$$$$&&&+: x: .$+++++x
::::++ .+$&&&&&&&&$. .x+::::x
::::++ :.::::::. .$+::::x
::::++ .$+::::x
+:::++ .x+:::+x
::::++ .x+::::x
:+:.:+ .... ... .$:.:+:x
+:::+x .... ::. : .. : :: ..:..+ .+:.+ .. .... .$+:::+x
+:::xx .. ... .. .: + .+ : .+ .+ : .. ....$+:::+x
+:::xx . ....... . :x .$ . .x .x . .: + .x:+..$ . .x : .: .+ .: . .+ x + .+ :+ .. .. : .$ .+ . .$.x..x .x ....... .. .$+::++x
::::xx ............ .. . .x .. .:+++. x . : :. .x : .:+++. .. . .:++:. : :+ .:+++. .+ .x. :. .: .: +.: .. x : x x :: .. ................$+::::x
:+::xx......::........... . :. . . : : : x .. + : .: : + .: . : :: .x :. ..$ .:x + :+ .: .+ x . ...........:.......$+::+:+
+:::x+. ................. . . :$. $: :+xx +x+ + :xx:x$ .+ x+ :+xx. ++x+ x$$x$x ++xx x. :+xx. .x xxx$$x x+ :xx$: x+ x ++xx $. .xx::x ... .. ................ ..$+:::+x
+:::+x:. .. ....................... .. .: .. .......................... .+x+:::+x
x+:::++.. .................................. .+. .................................. .x+:::+xx
++::::xx:.:..................::::................ ................:::......................:x+:::++xx
:+::::++xx:...:............:::.:................................... .. .. .. ...................................::::::...........:....:xx+:::::x$x
++::::::+xx++::::.::::::::::::::::::::::::::::..::::::::::::::::::....... ...........................:::::....... .......................................... ........:::::.::........................ ......:::::::::::::::::::..:::::::::::::::::::::::::::::::::++xx+:::::+xxxx
:x+::::::::++++xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx+xxxxxxxxxxxxx+++xxxxxxxxxxxxxxx++x++xxx+xxxxxx+xxxxxxxxxxxx+xxxxxx++xxxxxxxxxxxxxxxxx++xxxxxxxxxxxxxxxxxx+xxxx++x++xxxxxxxxxxxxxx+++xxxxxxxxxxxxx++xxxxxxxxxxxxxxxxxxxxxxxxxxx$$xxxxxxxxxxxx$$xx+++++::::::::+xxx$x
..+x+++:::...::::::::..::..::::::::+++:::.::+:::..:::..:::..:. .:++::::::.........::.:::.. ...::..... .::+:...::.. .::. .:......::.:..::..:. .::. .:::...:+::. ......::... .:::::::.........::::::++: ::..:::..:::.:::::::.:::+++::::::::.::..::::::::....:::++x$xxx$xx
..:++xx+:::.::::.::::::::..:::::::::::::::::++::::.....::.......:::+::..::........:::......:::...::::......:..:::........ . :.::...:. ... .:::: .....:.:::::::......::::...::......:::... .....:...::+:::.......:....:.::::++:::::::::::::::::.:::::::::.::::::::+xxx$$$$xxxx
......+xx$xx++++xxx+xxxxx++xx++xxxxxxx+xxxxxxxxxx+++xx+::++:::+++xxx++++++::++++:+xx+++++++xx+::+++x+++++++++::+++xx++::+x++++++++++++x+++::+x++x+::+xx+++++++++++++++++++::+xx++++++x+++:+++:::++++++xxx+++::+++:+xxx+++xxxxxxx+xxxxxxxxxx++xx++xxxxx+xxx++x+x$$xxx+:+$$$$$xxx