题目描述

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.

输入格式

The first line of input contains the number of test cases $T$. The descriptions of the test cases follow:

Each test case consists of one line containing an integer $N(1 \le N \le 10^9)$.

输出格式

For each test case, output a single line containing the equation in the format: N = a + (a+1) + ... + b as in the example. If there is no solution, output a single word IMPOSSIBLE instead.

题目大意

题目大意

一共有 $T$ 组数据，每组数据给定一个数 $N$，请将 $N$ 分解为几个连续正整数的和，如果有多种情况，请输出最小数最大的情况。

输入格式：

第一行，一个整数 $T$，表示数据组数。

第 $2$ 行至第 $T+1$ 行，每行一个整数 $N$，表示要拆分的数字。

输出格式

$T$ 行，每行一个式子，表示拆分结果。

如果无解，请输出 IMPOSSIBLE。

3
8
10
24

IMPOSSIBLE
10 = 1 + 2 + 3 + 4
24 = 7 + 8 + 9