## Description

You may have encountered IQ tests with inane questions such as the
following: find the next number in the sequence 1, 2, 3, __. Obviously
the correct answer is 16, since the sequence lists the values
f(1), f(2), f(3), f(4), ..., where f(x) =
2x^{3} - 12x^{2} + 23x - 12. More
generally, given some information about the values of a polynomial,
can you find the polynomial? We will restrict our attention to
polynomials whose coefficients are all non-negative integers.
### Input Specification

The first line of input contains an integer
`0 < n <= 10000`,
the number of polynomials to be identified.
Each of the next `n` lines
contains two integers, the values f(1) and f(f(1)), where
f is the polynomial to be found. Each of these values fits
within the range of a signed two's complement 32-bit integer.
### Sample Input

1
3 5

### Output Specification

For each polynomial to be found, output a single line listing
its coefficients separated by spaces. Assuming the degree of the
polynomial is d, list the d+1 coefficients in descending order
of power (i.e. starting with the coefficient of x^{d}
and finishing with the coefficient of x^{0}). If
the polynomial is the zero polynomial, just output 0.
If no polynomial f has the desired values of f(1) and f(f(1)), instead
output a line containing the word `IMPOSSIBLE`.
If multiple polynomials f have the desired values of f(1) and f(f(1)), instead
output a line containing the word `AMBIGUOUS`.
### Output for Sample Input

1 2