(**file name:** `hares.c, hares.p, hares.C`)

The Antique Comedians of Malidinesia play an interesting comedy where
many animals occur. Because they want their plays to be as true as
possible, a specialist studies the behaviour of various animals. Recently,
he is interested in a binary dynamic ecological system hares-foxes (SHF).
As a part of this project, you are asked to design and implement
intelligent automatic target evaluation simulator (IATES) for this system.
The behaviour of the SHF follows so called *standard model*,
described by the following set of difference equations.

h_{y+1} = a.h_{y} - b.f_{y}

f_{y+1} = c.f_{y} + d.h_{y}

where h_{y} resp. f_{y} represent the difference of the
number of hares resp. foxes in year _{y} and the reference count
determined at the beginning of the experiment. The units of h_{y}
and f_{y} are unknown. Therefore, h_{y} and f_{y}
are to be treated as real numbers. Your task is to write a program to
determine the long term evolution of SHF.

The input consists of `N` cases. The first line of the input
contains only positive integer `N`. Then follow the cases. Each
case consists of six real numbers `a, b, c, d, h _{1998}`
and

- '
`Ecological balance will develop.`' - if after sufficiently long time the population of both hares and foxes approaches the reference count with an arbitrary a priori given precision, i.e.`lim h`and_{y}=0`lim f`._{y}=0 - '
`Hares will die out while foxes will overgrow.`' - if after sufficiently long time the population of hares resp. foxes falls under resp. exceeds any a priori given threshold, i.e.`lim h`and_{y}=-infinity`lim f`._{y}=+infinity - '
`Hares will overgrow while foxes will die out.`' - if after sufficiently long time the population of foxes resp. hares falls under resp. exceeds any a priori given threshold, i.e.`lim h`and_{y}=+infinity`lim f`._{y}=-infinity - '
`Both hares and foxes will die out.`}' - if after sufficiently long time the population of both hares and foxes falls under any a priori given threshold, i.e.`lim h`and_{y}=-infinity`lim f`._{y}=-infinity - '
`Both hares and foxes will overgrow.`' - if after sufficiently long time the population of both hares and foxes exceeds any a priori given threshold, i.e.`lim h`and_{y}=+infinity`lim f`._{y}=+infinity - '
`Chaos will develop.`' - if none of the above mentioned description fits.

2 2 0.5 0.5 0.6 2 3 0.1 1 2 0.1 1 1

Both hares and foxes will overgrow. Hares will die out while foxes will overgrow.