Asked at Hudson River Trading, Tower Research Capital
Theory: Order Books and MatchingRead the problem, hints and solution here. The editor needs a bigger screen: open this page on a laptop to write and run your code.
xxxx xxx xxxxxx xxxx xxxxxx xxxx. xxxxxxxxxxxx xxxxxx xxxxxxxxx xxx
xxxxxxxx xxxxxx xxx x xxxx, xxxxxxx xxxx xxxxx xx, xxxxx xxx. xx xxx xxxxxxx
xxxxxxx, xx xxxx, xxx xx xxx xxxx xxxx. xxxxx xx xxxx xxx xxxxx xxx xxxxxx
xxxxxxx xxxxxxx xxxxxx xxxx xxxxx xxxxxxx. xxx xxxxxxx xx xxx:
xxxx xxx xxxx xxx xxx xxx xxxxx. xxx xxxxxxxxx xxxx xxx xxxxxx:
xxxx(xxxxxx, xxx, xxxxx): xxxxxx x xxxx. xxx xx x xxx-xxxx xxxxxxx,
xxxxxxxx xxx x xxx xxx xxxxxxxx xxx x xxxx, xxx xxxxx xx x xxxxxxxx
xxxxxxx.xxxxxxxx(xxxxxx): xxx xxx xxxxxxxx xxxx, x xxx x xxxxxx xxxxx xxxxxx.xxxx_xxxx(xxxxxx): x xxx xxxx xx (xxx, xxxxx) xxxxxx xxx xxx xxxx xxxxx
xxxx, xxxxxx xxxxx, xxxx xxx xxxxxx xxxx xxx xxxxxxxx.xxxxxxxx(xxxxxx): xxx xxxxxxxx xxxxxx xxx xxx xxxxxx xx xx xxxxxxx, x
xx xxxx.xxxxxxxx(): x xxx xxxx xxxx xxxxxx xx xxx xxxxxxxx, xxxxxxx xxxx xxxxxxx
xxxxx xxxxxxxx xx xxx xxxx, xx xxx xxxxx xxxx xxxxxx xxx xxxxx xxxxxx.xxxx xxxxx. x xxxx xx xxx xxxx xxxxxxxxx xx xxx xxxx xxxxxxxx, xx xx x xxxx xxxxxx, xxxxx x xxx xxx xx xxx xxxxx. x xxxx xx xxx xxxxxxxx xxxxxxxxx xxxxxx xxx xxxxxx xxxx xxxxx. xxxxxxx ( x ) xxxxx xx x xxx xxxxxx xx ( x_{xxxx{xxx}} ) xxxx x xxxx xx ( x ) xxxxxxxx ( x xxxxx (x - x_{xxxx{xxx}}) ) xxx x xxxx xxx, xxx ( x xxxxx (x_{xxxx{xxx}} - x) ) xxx x xxxxx xxx. xx xxx xxxx xx xxxxxx xxxx xxx xxxxx xxxxxxxx, xxxx xx xxxx xxxxx x xxx xxx xx xxx xxxx xxxxx, xx xxx xxxx'x xxxxxxxxx.
xxxxx xxxx xx xxxxxxxxxxx xx xxxxx xxxxx xxxx.
x = xxxxxxxxxxxx()
x.xxxx("xx", x, xxx)
x.xxxx("xx", x, xxx)
x.xxxx("xx", -x, xxx)
(x.xxxxxxxx("xx"), x.xxxx_xxxx("xx"), x.xxxxxxxx("xx"))
# (x, [(x, xxx)], xx)
xxx xxxx xxx x xxxxxx xxx xxxxx xxxxx xxx, ( x xxxxx (xxx - xxx) = xx ), xxxx x xxxx xx xxx xxxxxx, ( x xxxxx (xxx - xxx) = x ). xxx xxxxx xxxxxx xx xxx.
x = xxxxxxxxxxxx()
x.xxxx("xx", -x, xxx)
x.xxxx("xx", xx, xxx)
(x.xxxxxxxx("xx"), x.xxxx_xxxx("xx"), x.xxxxxxxx("xx"))
# (x, [(x, xxx)], xx)
xxx xxx xxx xx xxxxxx xxx xxxxx x xxx ( x xxxxx (xxx - xxx) = xx ) xxx xxxxx x xxxx xxx xx x xx xxx.
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