Problem A : Integer
Given an integer N, express it as the sum of at least two consecutive positive integers. For example:
10=1+2+3+4
24=7+8+9
If there are multiple solutions, output the one with the smallest possible number of summands.
INPUT:
The first line of input contains the number of test cases T. The description of the test cases follow:
Each test case consists of one line containing an integer N (1<=N<=10^9)
OUTPUT:
For each test case, output a single line containing an equation in the format:
N=a+(a+1)+...+b
as in the example. If there is no solution, output a single word `IMPOSSIBLE' instead.
~~~~~~~~
Sample Input:
3
8
10
24
~~~~~~~~
Sample Output:
IMPOSSIBLE
10=1+2+3+4
24=7+8+9
~~~~~~~~
Time limit: 3 seconds