Hares and Foxes |

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.

where

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*_{1}998 and *f*_{1}998,
written in this order on three lines, two numbers per line, separated
by one or more spaces. The numbers are given in the classical format,
i.e. optional sign, sequence of digits, optional dot and optional
sequence of digits. The text form of a number
does not exceed 10 characters. Each case is followed by one empty line.

For each case, print one of the following sentences:

- `
`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. and . - `
`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. and . - `
`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. and . - `
`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. and . - `
`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. and . - `
`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.