表示为和 - 题目

#3074. 表示为和

统计

AI Translation — This statement was translated using AI and may contain inaccuracies. Please refer to the original statement if in doubt.

给定一个整数 $N$，将其表示为至少两个连续正整数的和。例如： $10 = 1 + 2 + 3 + 4$ $24 = 7 + 8 + 9$ 如果存在多种方案，输出加数个数最少的那一种。

输入格式

输入的第一行包含测试用例的数量 $T$。接下来是各测试用例的描述：每个测试用例包含一行，为一个整数 $N$ ($1 \leq N \leq 10^9$)。

输出格式

对于每个测试用例，输出一行格式为 $N = a + (a+1) + \dots + b$ 的等式，如样例所示。如果无解，则输出单词 “IMPOSSIBLE”。

样例

输入 1

输出 1

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

数据范围

$1 \leq T \leq 1.1 \times 10^4$

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